fluids-1.0.22/0000755000175000017500000000000014302004506012402 5ustar nileshnileshfluids-1.0.22/tests/0000755000175000017500000000000014302004506013544 5ustar nileshnileshfluids-1.0.22/tests/test_packed_tower.py0000644000175000017500000000741714302004506017635 0ustar nileshnilesh# -*- coding: utf-8 -*- '''Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2016, 2017 Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.''' from __future__ import division from fluids.packed_tower import (dP_demister_dry_Setekleiv_Svendsen, Stichlmair_dry, dP_demister_wet_ElDessouky, separation_demister_ElDessouky, Robbins, dP_demister_dry_Setekleiv_Svendsen_lit, Stichlmair_wet, voidage_experimental, Stichlmair_flood, specific_area_mesh) from fluids.numerics import assert_close, assert_close1d import pytest def test_packed_tower(): dP = dP_demister_dry_Setekleiv_Svendsen(S=250.0, voidage=.983, vs=1.2, rho=10.0, mu=3E-5, L=1.0) assert_close(dP, 320.3280788941329) dP = dP_demister_dry_Setekleiv_Svendsen_lit(S=250.0, voidage=.983, vs=1.2, rho=10.0, mu=3E-5, L=1.0) assert_close(dP, 209.083848658307) dP = voidage_experimental(m=126.0, rho=8000.0, D=1.0, H=1.0) assert_close(dP, 0.9799464771704212) S = specific_area_mesh(voidage=.934, d=3e-4) assert_close(S, 879.9999999999994) def test_Stichlmair(): dP_dry = Stichlmair_dry(Vg=0.4, rhog=5., mug=5E-5, voidage=0.68, specific_area=260., C1=32., C2=7.0, C3=1.0) assert_close(dP_dry, 236.80904286559885) dP_wet = Stichlmair_wet(Vg=0.4, Vl = 5E-3, rhog=5., rhol=1200., mug=5E-5, voidage=0.68, specific_area=260., C1=32., C2=7., C3=1.) assert_close(dP_wet, 539.8768237253518) Vg = Stichlmair_flood(Vl = 5E-3, rhog=5., rhol=1200., mug=5E-5, voidage=0.68, specific_area=260., C1=32., C2=7., C3=1.) assert_close(Vg, 0.6394323542687361) def test_dP_demister_wet_ElDessouky(): # Point from their figure 8 rho = 176.35 V = 6. dw = 0.32 dP_orig = 3.88178*rho**0.375798*V**0.81317*dw**-1.56114147 # 689.4685604448499, compares with maybe 690 Pa/m from figure voidage = 1.0-rho/7999. dP = dP_demister_wet_ElDessouky(V, voidage, dw/1000.) assert_close(dP_orig, dP) assert_close(dP, 689.4685604448499) # Test length multiplier assert_close(dP*10, dP_demister_wet_ElDessouky(V, voidage, dw/1000., 10)) def test_separation_demister_ElDessouky(): # Point from their figure 6 dw = 0.2 rho = 208.16 d_p = 5 V = 1.35 eta1 = 17.5047*dw**-0.28264*rho**0.099625*V**0.106878*d_p**0.383197 eta1 /=100. # Convert to a 0-1 basis. voidage = 1-rho/7999. eta = separation_demister_ElDessouky(V, voidage, dw/1000., d_p/1000.) assert_close(eta1, eta) assert_close(eta, 0.8983693041263305) assert 1 == separation_demister_ElDessouky(1.35, 0.92, 0.0002, 0.005) def test_Robbins(): dP = Robbins(Fpd=24.0, L=12.2, G=2.03, rhol=1000., rhog=1.1853, mul=0.001, H=2.0) assert_close(dP, 619.6624593438099) fluids-1.0.22/tests/manual_runner.py0000644000175000017500000000510214302004506016762 0ustar nileshnilesh#!/usr/bin/env python3 # -*- coding: utf-8 -*- import sys import fluids.numerics try: import test_drag except: print('run this from the tests directory') exit() #import test_numerics import test_numerics_special import test_control_valve import test_geometry import test_two_phase import test_two_phase_voidage import test_separator import test_saltation import test_piping import test_packed_bed import test_packed_tower import test_compressible import test_core import test_particle_size_distribution import test_safety_valve import test_open_flow import test_filters import test_flow_meter import test_atmosphere import test_pump import test_friction import test_fittings import test_jet_pump import test_mixing import test_nrlmsise00_full to_test = [#test_numerics, #test_numerics_special, test_drag, test_control_valve, test_two_phase, test_two_phase_voidage, test_separator, test_piping, test_packed_bed, test_compressible, test_core, test_safety_valve, test_open_flow, test_filters, test_flow_meter, test_atmosphere, test_pump, test_friction, test_fittings, test_packed_tower, test_saltation, test_mixing, test_nrlmsise00_full] #to_test.append([test_particle_size_distribution, test_jet_pump, test_geometry]) if fluids.numerics.is_micropython or fluids.numerics.is_ironpython: skip_marks = ['slow', 'fuzz', 'scipy', 'numpy', 'f2py', 'pytz', 'numba'] else: skip_marks = ['slow', 'fuzz'] # pytz loads but doesn't work right in ironpython skip_marks_set = set(skip_marks) if len(sys.argv) >= 2: #print(sys.argv) # Run modules specified by user to_test = [globals()[i] for i in sys.argv[1:]] for mod in to_test: print(mod) for s in dir(mod): skip = False obj = getattr(mod, s) if callable(obj) and hasattr(obj, '__name__') and obj.__name__.startswith('test'): try: for bad in skip_marks: if bad in obj.__dict__: skip = True if 'pytestmark' in obj.__dict__: marked_names = [i.name for i in obj.__dict__['pytestmark']] for mark_name in marked_names: if mark_name in skip_marks_set: skip = True except Exception as e: #print(e) pass if not skip: try: #print(obj) obj() except Exception as e: print('FAILED TEST %s with error:' %s) print(e) fluids-1.0.22/tests/test_two_phase.py0000644000175000017500000006320514302004506017154 0ustar nileshnilesh# -*- coding: utf-8 -*- '''Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2016, 2017 Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.''' from __future__ import division from math import log, log10 from fluids.two_phase_voidage import * from fluids.two_phase import * from fluids.numerics import assert_close, assert_close1d import pytest try: from random import uniform except: pass def log_uniform(low, high): return 10**uniform(log10(low), log10(high)) def test_Beggs_Brill(): kwargs = dict(m=1.163125, x=0.30370768404083825, rhol=613.8, rhog=141.3, sigma=0.028, D=0.077927, angle=90.0, mul=0.0005, mug=2E-5, P=119E5, roughness=1.8E-6, L=100.0, acceleration=True) dP = Beggs_Brill(**kwargs) assert_close(dP, 384066.2949427367) kwargs['angle'] = 45 dP = Beggs_Brill(**kwargs) assert_close(dP, 289002.94186339306) kwargs['x'] = 0.6 dP = Beggs_Brill(**kwargs) assert_close(dP, 220672.4414664162) kwargs['x'] = 0.9 dP = Beggs_Brill(**kwargs) assert_close(dP, 240589.47045109692) kwargs['angle'] = 0 dP = Beggs_Brill(**kwargs) assert_close(dP, 4310.718513863349) kwargs['x'] = 1e-7 dP = Beggs_Brill(**kwargs) assert_close(dP, 1386.362401988662) kwargs['angle'] = -15 dP = Beggs_Brill(**kwargs) assert_close(dP, -154405.0395988586) kwargs['m'] = 100 kwargs['x'] = 0.3 kwargs['angle'] = 0 dP = Beggs_Brill(**kwargs) assert_close(dP, 15382421.32990976) kwargs['angle'] = 10 dP = Beggs_Brill(**kwargs) assert_close(dP, 15439041.350531114) kwargs = {'rhol': 2250.004745138356, 'rhog': 58.12314177331951, 'L': 111.74530635808999, 'sigma': 0.5871528902653206, 'P': 9587894383.375906, 'm': 0.005043652829299738, 'roughness': 0.07803567727862296, 'x': 0.529765332332195, 'mug': 1.134544741297285e-06, 'mul': 0.12943468582774414, 'D': 1.9772420342193617, 'angle': -77.18096944813536} dP = Beggs_Brill(**kwargs) # Check this calculation works - S gets too large, overflows in this region @pytest.mark.fuzz @pytest.mark.slow def test_fuzz_Beggs_Brill(): for i in range(250): m = log_uniform(1e-5, 100) x = uniform(0, 1) rhol = log_uniform(100, 4000) rhog = log_uniform(0.01, 200) sigma = log_uniform(1e-3, 1) D = log_uniform(1e-5, 5) angle = uniform(-90, 90) mul = log_uniform(1e-5, 1) mug = log_uniform(5e-7, 1e-3) P = log_uniform(1E8, 1e10) roughness = log_uniform(1e-5, D-1e-10) L = uniform(0, 1000) kwargs = dict(m=m, x=x, rhol=rhol, rhog=rhog, sigma=sigma, D=D, angle=angle, mul=mul, mug=mug, P=P, roughness=roughness, L=L) Beggs_Brill(**kwargs) def test_Friedel(): kwargs = dict(m=10, x=0.9, rhol=950., rhog=1.4, mul=1E-3, mug=1E-5, sigma=0.02, D=0.3, roughness=0., L=1.) dP = Friedel(**kwargs) dP_expect = 274.21322116878406 assert_close(dP, dP_expect) # Internal consistency for length dependence kwargs['L'] *= 10 dP = Friedel(**kwargs) assert_close(dP, dP_expect*10) # Example 4 in [6]_: dP = Friedel(m=0.6, x=0.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, sigma=0.0487, D=0.05, roughness=0., L=1.) assert_close(dP, 738.6500525002241) # 730 is the result in [1]_; they use the Blassius equation instead for friction # the multiplier was calculated to be 38.871 vs 38.64 in [6]_ def test_Gronnerud(): kwargs = dict(m=0.6, x=0.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, D=0.05, roughness=0.0, L=1.0) dP = Gronnerud(**kwargs) dP_expect = 384.125411444741 assert_close(dP, 384.125411444741) # Internal consistency for length dependence kwargs['L'] *= 10 dP = Gronnerud(**kwargs) assert_close(dP, dP_expect*10) dP = Gronnerud(m=5, x=0.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, D=0.05, roughness=0.0, L=1.0) assert_close(dP, 26650.676132410194) def test_Chisholm(): # Gamma < 28, G< 600 dP = Chisholm(m=0.6, x=0.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, D=0.05, roughness=0.0, L=1.0) assert_close(dP, 1084.1489922923736) # Gamma < 28, G > 600 dP = Chisholm(m=2, x=0.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, D=0.05, roughness=0.0, L=1.0) assert_close(dP, 7081.89630764668) # Gamma <= 9.5, G_tp <= 500 dP = Chisholm(m=.6, x=0.1, rhol=915., rhog=30, mul=180E-6, mug=14E-6, D=0.05, roughness=0.0, L=1.0) assert_close(dP, 222.36274920522493) # Gamma <= 9.5, G_tp < 1900: dP = Chisholm(m=2, x=0.1, rhol=915., rhog=30, mul=180E-6, mug=14E-6, D=0.05, roughness=0.0, L=1.0) assert_close(dP, 1107.9944943816388) # Gamma <= 9.5, G_tp > 1900: dP = Chisholm(m=5, x=0.1, rhol=915., rhog=30, mul=180E-6, mug=14E-6, D=0.05, roughness=0.0, L=1.0) assert_close(dP, 3414.1123536958203) dP = Chisholm(m=1, x=0.1, rhol=915., rhog=0.1, mul=180E-6, mug=14E-6, D=0.05, roughness=0.0, L=1.0) assert_close(dP, 8743.742915625126) # Roughness correction kwargs = dict(m=0.6, x=0.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, D=0.05, roughness=1E-4, L=1, rough_correction=True) dP = Chisholm(**kwargs) dP_expect = 846.6778299960783 assert_close(dP, dP_expect) # Internal consistency for length dependence kwargs['L'] *= 10 dP = Chisholm(**kwargs) assert_close(dP, dP_expect*10) def test_Baroczy_Chisholm(): # Gamma < 28, G< 600 dP = Baroczy_Chisholm(m=0.6, x=0.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, D=0.05, roughness=0.0, L=1.0) assert_close(dP, 1084.1489922923736) # Gamma <= 9.5, G_tp > 1900: dP = Baroczy_Chisholm(m=5, x=0.1, rhol=915., rhog=30, mul=180E-6, mug=14E-6, D=0.05, roughness=0.0, L=1.0) assert_close(dP, 3414.1123536958203) kwargs = dict(m=1, x=0.1, rhol=915., rhog=0.1, mul=180E-6, mug=14E-6, D=0.05, roughness=0.0, L=1.0) dP = Baroczy_Chisholm(**kwargs) dP_expect = 8743.742915625126 assert_close(dP, dP_expect) # Internal consistency for length dependence kwargs['L'] *= 10 dP = Baroczy_Chisholm(**kwargs) assert_close(dP, dP_expect*10) def test_Muller_Steinhagen_Heck(): kwargs = dict(m=0.6, x=0.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, D=0.05, roughness=0.0, L=1.0) dP = Muller_Steinhagen_Heck(**kwargs) dP_expect = 793.4465457435081 assert_close(dP, dP_expect) # Internal consistency for length dependence kwargs['L'] *= 10 dP = Muller_Steinhagen_Heck(**kwargs) assert_close(dP, dP_expect*10) def test_Lombardi_Pedrocchi(): kwargs = dict(m=0.6, x=0.1, rhol=915., rhog=2.67, sigma=0.045, D=0.05, L=1.0) dP = Lombardi_Pedrocchi(**kwargs) dP_expect = 1567.328374498781 assert_close(dP, dP_expect) # Internal consistency for length dependence kwargs['L'] *= 10 dP = Lombardi_Pedrocchi(**kwargs) assert_close(dP, dP_expect*10) def test_Theissing(): dP = Theissing(m=0.6, x=.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, D=0.05, roughness=0.0, L=1.0) assert_close(dP, 497.6156370699528) # Test x=1, x=0 dP = Theissing(m=0.6, x=1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, D=0.05, roughness=0.0, L=1.0) assert_close(dP, 4012.248776469056) kwargs = dict(m=0.6, x=0, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, D=0.05, roughness=0.0, L=1.0) dP = Theissing(**kwargs) dP_expect = 19.00276790390895 assert_close(dP, dP_expect) # Internal consistency for length dependence kwargs['L'] *= 10 dP = Theissing(**kwargs) assert_close(dP, dP_expect*10) def test_Jung_Radermacher(): kwargs = dict(m=0.6, x=0.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, D=0.05, roughness=0.0, L=1.0) dP = Jung_Radermacher(**kwargs) dP_expect = 552.068612372557 assert_close(dP, dP_expect) # Internal consistency for length dependence kwargs['L'] *= 10 dP = Jung_Radermacher(**kwargs) assert_close(dP, dP_expect*10) def test_Tran(): kwargs = dict(m=0.6, x=0.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, sigma=0.0487, D=0.05, roughness=0.0, L=1.0) dP = Tran(**kwargs) dP_expect = 423.2563312951231 assert_close(dP, dP_expect) # Internal consistency for length dependence kwargs['L'] *= 10 dP = Tran(**kwargs) assert_close(dP, dP_expect*10) def test_Chen_Friedel(): dP = Chen_Friedel(m=.0005, x=0.9, rhol=950., rhog=1.4, mul=1E-3, mug=1E-5, sigma=0.02, D=0.003, roughness=0.0, L=1.0) assert_close(dP, 6249.247540588871) kwargs = dict(m=.1, x=0.9, rhol=950., rhog=1.4, mul=1E-3, mug=1E-5, sigma=0.02, D=0.03, roughness=0.0, L=1.0) dP = Chen_Friedel(**kwargs) dP_expect = 3541.7714973093725 assert_close(dP, dP_expect) # Internal consistency for length dependence kwargs['L'] *= 10 dP = Chen_Friedel(**kwargs) assert_close(dP, dP_expect*10) def test_Zhang_Webb(): kwargs = dict(m=0.6, x=0.1, rhol=915., mul=180E-6, P=2E5, Pc=4055000, D=0.05, roughness=0.0, L=1.0) dP = Zhang_Webb(**kwargs) dP_expect = 712.0999804205619 assert_close(dP, dP_expect) # Internal consistency for length dependence kwargs['L'] *= 10 dP = Zhang_Webb(**kwargs) assert_close(dP, dP_expect*10) def test_Bankoff(): kwargs = dict(m=0.6, x=0.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, D=0.05, roughness=0.0, L=1.0) dP = Bankoff(**kwargs) dP_expect = 4746.059442453398 assert_close(dP, dP_expect) # Internal consistency for length dependence kwargs['L'] *= 10 dP = Bankoff(**kwargs) assert_close(dP, dP_expect*10) def test_Xu_Fang(): kwargs = dict(m=0.6, x=0.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, sigma=0.0487, D=0.05, roughness=0.0, L=1.0) dP = Xu_Fang(**kwargs) dP_expect = 604.0595632116267 assert_close(dP, dP_expect) # Internal consistency for length dependence kwargs['L'] *= 10 dP = Xu_Fang(**kwargs) assert_close(dP, dP_expect*10) def test_Yu_France(): kwargs = dict(m=0.6, x=.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, D=0.05, roughness=0.0, L=1.0) dP = Yu_France(**kwargs) dP_expect = 1146.983322553957 assert_close(dP, dP_expect) # Internal consistency for length dependence kwargs['L'] *= 10 dP = Yu_France(**kwargs) assert_close(dP, dP_expect*10) def test_Wang_Chiang_Lu(): dP = Wang_Chiang_Lu(m=0.6, x=0.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, D=0.05, roughness=0.0, L=1.0) assert_close(dP, 448.29981978639154) kwargs = dict(m=0.1, x=0.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, D=0.05, roughness=0.0, L=1.0) dP = Wang_Chiang_Lu(**kwargs) dP_expect = 3.3087255464765417 assert_close(dP, dP_expect) # Internal consistency for length dependence kwargs['L'] *= 10 dP = Wang_Chiang_Lu(**kwargs) assert_close(dP, dP_expect*10) def test_Hwang_Kim(): kwargs = dict(m=0.0005, x=0.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, sigma=0.0487, D=0.003, roughness=0.0, L=1.0) dP = Hwang_Kim(**kwargs) dP_expect = 798.302774184557 assert_close(dP, dP_expect) # Internal consistency for length dependence kwargs['L'] *= 10 dP = Hwang_Kim(**kwargs) assert_close(dP, dP_expect*10) def test_Zhang_Hibiki_Mishima(): dP = Zhang_Hibiki_Mishima(m=0.0005, x=0.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, sigma=0.0487, D=0.003, roughness=0.0, L=1.0) assert_close(dP, 444.9718476894804) dP = Zhang_Hibiki_Mishima(m=0.0005, x=0.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, sigma=0.0487, D=0.003, roughness=0.0, L=1, flowtype='adiabatic gas') assert_close(dP, 1109.1976111277042) kwargs = dict(m=0.0005, x=0.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, sigma=0.0487, D=0.003, roughness=0.0, L=1, flowtype='flow boiling') dP = Zhang_Hibiki_Mishima(**kwargs) dP_expect = 770.0975665928916 assert_close(dP, dP_expect) # Internal consistency for length dependence kwargs['L'] *= 10 dP = Zhang_Hibiki_Mishima(**kwargs) assert_close(dP, dP_expect*10) with pytest.raises(Exception): Zhang_Hibiki_Mishima(m=0.0005, x=0.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, sigma=0.0487, D=0.003, roughness=0.0, L=1, flowtype='BADMETHOD') def test_Kim_Mudawar(): # turbulent-turbulent dP = Kim_Mudawar(m=0.6, x=0.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, sigma=0.0487, D=0.05, L=1.0) assert_close(dP, 840.4137796786074) # Re_l >= Re_c and Re_g < Re_c dP = Kim_Mudawar(m=0.6, x=0.001, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, sigma=0.0487, D=0.05, L=1.0) assert_close(dP, 68.61594310455612) # Re_l < Re_c and Re_g >= Re_c: dP = Kim_Mudawar(m=0.6, x=0.99, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, sigma=0.0487, D=0.05, L=1.0) assert_close(dP, 5381.335846128011) # laminar-laminar dP = Kim_Mudawar(m=0.1, x=0.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, sigma=0.0487, D=0.5, L=1.0) assert_close(dP, 0.005121833671658875) # Test friction Re < 20000 kwargs = dict(m=0.1, x=0.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, sigma=0.0487, D=0.05, L=1.0) dP = Kim_Mudawar(**kwargs) dP_expect = 33.74875494223592 assert_close(dP, dP_expect) # Internal consistency for length dependence kwargs['L'] *= 10 dP = Kim_Mudawar(**kwargs) assert_close(dP, dP_expect*10) def test_Lockhart_Martinelli(): dP = Lockhart_Martinelli(m=0.6, x=0.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, D=0.05, L=1.0) assert_close(dP, 716.4695654888484) # laminar-laminar dP = Lockhart_Martinelli(m=0.1, x=0.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, D=1, L=1.0) assert_close(dP, 9.06478815533121e-06) # Liquid laminar, gas turbulent dP = Lockhart_Martinelli(m=0.6, x=0.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, D=2, L=1.0) assert_close(dP, 8.654579552636214e-06) # Gas laminar, liquid turbulent kwargs = dict(m=0.6, x=0.05, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, D=2, L=1.0) dP = Lockhart_Martinelli(**kwargs) dP_expect = 4.56627076018814e-06 assert_close(dP, dP_expect) # Internal consistency for length dependence kwargs['L'] *= 10 dP = Lockhart_Martinelli(**kwargs) assert_close(dP, dP_expect*10) def test_Mishima_Hibiki(): kwargs = dict(m=0.6, x=0.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, sigma=0.0487, D=0.05, roughness=0.0, L=1.0) dP = Mishima_Hibiki(**kwargs) dP_expect = 732.4268200606265 assert_close(dP, dP_expect) # Internal consistency for length dependence kwargs['L'] *= 10 dP = Mishima_Hibiki(**kwargs) assert_close(dP, dP_expect*10) def test_two_phase_dP(): # TODO; Delete two_phase_dP method calls # Case 0 assert ['Lombardi_Pedrocchi'] == two_phase_dP_methods(10, 0.7, 1000, 0.1, rhog=1.2, sigma=0.02) # Case 5 assert ['Zhang_Webb'] == two_phase_dP_methods(10, 0.7, 1000, 0.1, mul=1E-3, P=1E5, Pc=1E6,) # Case 1,2 expect = ['Jung_Radermacher', 'Muller_Steinhagen_Heck', 'Baroczy_Chisholm', 'Yu_France', 'Wang_Chiang_Lu', 'Theissing', 'Chisholm rough', 'Chisholm', 'Gronnerud', 'Lockhart_Martinelli', 'Bankoff'] assert sorted(expect) == sorted(two_phase_dP_methods(10, 0.7, 1000, 0.1, rhog=1.2, mul=1E-3, mug=1E-6)) # Case 3, 4; drags in 5, 1, 2 expect = ['Zhang_Hibiki_Mishima adiabatic gas', 'Kim_Mudawar', 'Friedel', 'Jung_Radermacher', 'Hwang_Kim', 'Muller_Steinhagen_Heck', 'Baroczy_Chisholm', 'Tran', 'Yu_France', 'Zhang_Hibiki_Mishima flow boiling', 'Xu_Fang', 'Wang_Chiang_Lu', 'Theissing', 'Chisholm rough', 'Chisholm', 'Mishima_Hibiki', 'Gronnerud', 'Chen_Friedel', 'Lombardi_Pedrocchi', 'Zhang_Hibiki_Mishima', 'Lockhart_Martinelli', 'Bankoff'] assert sorted(expect) == sorted(two_phase_dP_methods(10, 0.7, 1000, 0.1, rhog=1.2, mul=1E-3, mug=1E-6, sigma=0.014,)) assert 24 == len(two_phase_dP_methods(m=0.6, x=0.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, sigma=0.0487, D=0.05, L=1, angle=30.0, roughness=1e-4, P=1e5, Pc=1e6)) kwargs = dict(m=0.6, x=0.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, sigma=0.0487, D=0.05, L=1, angle=30.0, roughness=1e-4, P=1e5, Pc=1e6) for m in two_phase_dP_methods(**kwargs): two_phase_dP(Method=m, **kwargs) # Final method attempt Lombardi_Pedrocchi dP = two_phase_dP(m=0.6, x=0.1, rhol=915., rhog=2.67, sigma=0.045, D=0.05, L=1.0) assert_close(dP, 1567.328374498781) # Second method attempt Zhang_Webb dP = two_phase_dP(m=0.6, x=0.1, rhol=915., mul=180E-6, P=2E5, Pc=4055000, D=0.05, roughness=0.0, L=1.0) assert_close(dP, 712.0999804205619) # Second choice, for no sigma; Chisholm dP = two_phase_dP(m=0.6, x=0.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, D=0.05, roughness=0.0, L=1.0) assert_close(dP, 1084.1489922923736) # Preferred choice, Kim_Mudawar dP = two_phase_dP(m=0.6, x=0.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, sigma=0.0487, D=0.05, L=1.0) assert_close(dP, 840.4137796786074) # Case where i = 4 dP = two_phase_dP(Method='Friedel', m=0.6, x=0.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, sigma=0.0487, D=0.05, roughness=0.0, L=1.0) assert_close(dP, 738.6500525002243) # Case where i = 1 dP = two_phase_dP(Method='Lockhart_Martinelli', m=0.6, x=0.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, D=0.05, L=1.0) assert_close(dP, 716.4695654888484) # Case where i = 101, 'Chisholm rough' dP = two_phase_dP(Method='Chisholm rough', m=0.6, x=0.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, D=0.05, roughness=1E-4, L=1.0) assert_close(dP, 846.6778299960783) # Case where i = 102: dP = two_phase_dP(Method='Zhang_Hibiki_Mishima adiabatic gas', m=0.0005, x=0.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, sigma=0.0487, D=0.003, roughness=0.0, L=1.0) assert_close(dP, 1109.1976111277042) # Case where i = 103: dP = two_phase_dP(Method='Zhang_Hibiki_Mishima flow boiling', m=0.0005, x=0.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, sigma=0.0487, D=0.003, roughness=0.0, L=1.0) assert_close(dP, 770.0975665928916) # Don't give enough information: with pytest.raises(Exception): two_phase_dP(m=0.6, x=0.1, rhol=915., D=0.05, L=1.0) with pytest.raises(Exception): two_phase_dP(m=0.6, x=0.1, rhol=915., rhog=2.67, sigma=0.045, D=0.05, L=1, Method='BADMETHOD') def test_two_phase_dP_acceleration(): m = 1.0 D = 0.1 xi = 0.37263067757947943 xo = 0.5570214522041096 rho_li = 827.1015716377739 rho_lo = 827.05 rho_gi = 3.9190921750559062 rho_go = 3.811717994431281 alpha_i = homogeneous(x=xi, rhol=rho_li, rhog=rho_gi) alpha_o = homogeneous(x=xo, rhol=rho_lo, rhog=rho_go) dP = two_phase_dP_acceleration(m=m, D=D, xi=xi, xo=xo, alpha_i=alpha_i, alpha_o=alpha_o, rho_li=rho_li, rho_gi=rho_gi, rho_go=rho_go, rho_lo=rho_lo) assert_close(dP, 824.0280564053887) def test_two_phase_dP_dz_acceleration(): dP_dz = two_phase_dP_dz_acceleration(m=1.0, D=0.1, x=0.372, rhol=827.1, rhog=3.919, dv_dP_l=-5e-12, dv_dP_g=-4e-7, dx_dP=-2e-7, dP_dL=120.0, dA_dL=0.0001) assert_close(dP_dz, 20.137876617489034) def test_two_phase_dP_gravitational(): dP = two_phase_dP_gravitational(angle=90.0, z=2.0, alpha_i=0.9685, rho_li=1518., rho_gi=2.6) assert_close(dP, 987.237416829999) dP = two_phase_dP_gravitational(angle=90, z=2, alpha_i=0.9685, rho_li=1518., rho_gi=2.6, alpha_o=0.968, rho_lo=1517.9, rho_go=2.59) assert_close(dP, 994.5416058829999) def test_two_phase_dP_dz_gravitational(): dP_dz = two_phase_dP_dz_gravitational(angle=90.0, alpha=0.9685, rhol=1518., rhog=2.6) assert_close(dP_dz, 493.6187084149995) def test_Taitel_Dukler_regime(): from fluids.two_phase import Taitel_Dukler_regime regime = Taitel_Dukler_regime(m=1.0, x=0.05, rhol=600.12, rhog=80.67, mul=180E-6, mug=14E-6, D=0.02, roughness=0.0, angle=0.0)[0] assert regime == 'bubbly' regime = Taitel_Dukler_regime(m=1, x=0.05, rhol=600.12, rhog=80.67, mul=180E-6, mug=14E-6, D=0.021, roughness=0.0, angle=0)[0] assert regime == 'intermittent' regime = Taitel_Dukler_regime(m=.06, x=0.5, rhol=900.12, rhog=90.67, mul=180E-6, mug=14E-6, D=0.05, roughness=0.0, angle=0)[0] assert regime == 'stratified smooth' regime = Taitel_Dukler_regime(m=.07, x=0.5, rhol=900.12, rhog=90.67, mul=180E-6, mug=14E-6, D=0.05, roughness=0.0, angle=0)[0] assert regime == 'stratified wavy' regime, X, T, F, K = Taitel_Dukler_regime(m=0.6, x=0.112, rhol=915.12, rhog=2.67, mul=180E-6, mug=14E-6, D=0.05, roughness=0.0, angle=0) assert regime == 'annular' assert_close(F, 0.9902249725092789) assert_close(K, 271.86280111125365) assert_close(T, 0.04144054776101148) assert_close(X, 0.4505119305984412) Dukler_XA_Xs = [0.0033181, 0.005498, 0.00911, 0.015096, 0.031528, 0.05224, 0.08476, 0.14045, 0.22788, 0.36203, 0.5515, 0.9332, 1.3919, 1.7179, 2.4055, 3.3683, 4.717, 7.185, 10.06, 13.507, 18.134, 23.839, 31.339, 40.341, 52.48] Dukler_XA_As = [1.6956, 1.5942, 1.4677, 1.3799, 1.1936, 1.076, 0.9108, 0.771, 0.6258, 0.4973, 0.37894, 0.23909, 0.17105, 0.14167, 0.09515, 0.06391, 0.042921, 0.023869, 0.016031, 0.010323, 0.006788, 0.0041042, 0.0026427, 0.0016662, 0.0010396] Dukler_XD_Xs = [1.7917, 2.9688, 4.919, 14.693, 24.346, 40.341, 131.07, 217.18, 352.37, 908.3, 1473.7, 3604] Dukler_XD_Ds = [1.2318, 1.1581, 1.0662, 0.904, 0.8322, 0.7347, 0.5728, 0.4952, 0.41914, 0.30028, 0.25417, 0.16741] Dukler_XC_Xs = [0.01471, 0.017582, 0.020794, 0.024853, 0.028483, 0.040271, 0.06734, 0.10247, 0.15111, 0.21596, 0.33933, 0.5006, 0.701, 1.149, 1.714, 2.5843, 4.0649, 6.065, 8.321, 11.534, 20.817, 28.865, 37.575, 50.48] Dukler_XC_Cs = [1.9554, 2.1281, 2.3405, 2.5742, 2.8012, 3.2149, 4.0579, 4.8075, 5.403, 5.946, 6.21, 6.349, 6.224, 6.168, 5.618, 4.958, 4.1523, 3.6646, 3.0357, 2.6505, 1.8378, 1.5065, 1.2477, 1.0555] @pytest.mark.scipy def test_Taitel_Dukler_splines(): from scipy.interpolate import splrep, splev import numpy as np from fluids.two_phase import Dukler_XA_tck, Dukler_XC_tck, Dukler_XD_tck Dukler_XA_tck2 = splrep(np.log10(Dukler_XA_Xs), np.log10(Dukler_XA_As), s=5e-3, k=3) [assert_close1d(i, j) for i, j in zip(Dukler_XA_tck[:-1], Dukler_XA_tck2[:-1])] # XA_interp = UnivariateSpline(np.log10(Dukler_XA_Xs), np.log10(Dukler_XA_As), s=5e-3, k=3) # , ext='const' # XA_interp_obj = lambda x: 10**float(splev(log10(x), Dukler_XA_tck)) Dukler_XD_tck2 = splrep(np.log10(Dukler_XD_Xs), np.log10(Dukler_XD_Ds), s=1e-2, k=3) [assert_close1d(i, j) for i, j in zip(Dukler_XD_tck[:-1], Dukler_XD_tck[:-1])] # XD_interp = UnivariateSpline(np.log10(Dukler_XD_Xs), np.log10(Dukler_XD_Ds), s=1e-2, k=3) # , ext='const' # XD_interp_obj = lambda x: 10**float(splev(log10(x), Dukler_XD_tck)) Dukler_XC_tck2 = splrep(np.log10(Dukler_XC_Xs), np.log10(Dukler_XC_Cs), s=1e-3, k=3) [assert_close1d(i, j) for i, j in zip(Dukler_XC_tck[:-1], Dukler_XC_tck2[:-1])] # XC_interp = UnivariateSpline(np.log10(Dukler_XC_Xs), np.log10(Dukler_XC_Cs), s=1e-3, k=3) # ext='const' # XC_interp_obj = lambda x: 10**float(splev(log10(x), Dukler_XC_tck)) # Curves look great to 1E-4! Also to 1E4. def plot_Taitel_Dukler_splines(): import numpy as np import matplotlib.pyplot as plt from fluids.two_phase import XA_interp_obj, XC_interp_obj, XD_interp_obj Xs = np.logspace(np.log10(1e-5), np.log10(1e5), 1000) A_Xs = np.logspace(np.log10(1e-5), np.log10(1e5), 1000) C_Xs = np.logspace(np.log10(1e-5), np.log10(1e5), 1000) D_Xs = np.logspace(np.log10(1e-5), np.log10(1e5)) A = [XA_interp_obj(X) for X in A_Xs] C = [XC_interp_obj(X) for X in C_Xs] D = [XD_interp_obj(X) for X in D_Xs] fig, ax1 = plt.subplots() ax1.loglog(C_Xs, C) ax1.set_ylim(1, 10**4) ax1.set_ylim(.01, 10**4) ax1.loglog(Dukler_XC_Xs, Dukler_XC_Cs, 'x') ax2 = ax1.twinx() ax2.loglog(A_Xs, A) ax2.loglog(D_Xs, D) ax2.loglog(Dukler_XD_Xs, Dukler_XD_Ds, '.') ax2.loglog(Dukler_XA_Xs, Dukler_XA_As, '+') ax2.set_ylim(1e-3, 10) fig.tight_layout() plt.show() return plt def test_Mandhane_Gregory_Aziz_regime(): from fluids.two_phase import Mandhane_Gregory_Aziz_regime regime = Mandhane_Gregory_Aziz_regime(m=0.6, x=0.112, rhol=915.12, rhog=2.67, mul=180E-6, mug=14E-6, sigma=0.065, D=0.05)[0] assert regime == 'slug' regime = Mandhane_Gregory_Aziz_regime(m=6, x=0.112, rhol=915.12, rhog=2.67, mul=180E-6, mug=14E-6, sigma=0.065, D=0.05)[0] assert regime == 'annular mist' regime = Mandhane_Gregory_Aziz_regime(m=.05, x=0.112, rhol=915.12, rhog=2.67, mul=180E-6, mug=14E-6, sigma=0.065, D=0.05)[0] assert regime == 'stratified' regime = Mandhane_Gregory_Aziz_regime(m=.005, x=0.95, rhol=915.12, rhog=2.67, mul=180E-6, mug=14E-6, sigma=0.065, D=0.01)[0] assert regime == 'wave' fluids-1.0.22/tests/test_particle_size_distribution.py0000644000175000017500000010004714302004506022613 0ustar nileshnilesh# -*- coding: utf-8 -*- '''Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2018 Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.''' import fluids from fluids import * from math import * from fluids.numerics import assert_close, assert_close1d, assert_close2d, isclose, linspace, logspace import pytest from fluids.particle_size_distribution import * try: from random import uniform except: pass def test_ASTM_E11_sieves(): sieves = ASTM_E11_sieves.values() tot = sum([i.d_wire for i in sieves]) assert_close(tot, 0.105963384) tot = sum([i.opening for i in sieves]) assert_close(tot, 0.9876439999999999) assert len(ASTM_E11_sieves) == 56 # Test but do not validate these properties tot = 0.0 for attr in ['Y_variation_avg', 'X_variation_max', 'max_opening', 'd_wire', 'd_wire_min', 'd_wire_max', 'opening', 'opening_inch']: tot += sum(getattr(i, attr) for i in sieves) def test_ISO_3310_2_sieves(): sieves = ISO_3310_1_sieves.values() tot = sum([i.d_wire for i in sieves]) assert_close(tot, 0.17564599999999997) tot = sum([i.opening for i in sieves]) assert_close(tot, 1.5205579999999994) assert len(ISO_3310_1_sieves) == 99 # Test but do not validate these properties tot = 0.0 for attr in ['Y_variation_avg', 'X_variation_max', 'd_wire', 'd_wire_min', 'd_wire_max', 'opening']: tot += sum(getattr(i, attr) for i in sieves) for l in [ISO_3310_1_R20_3, ISO_3310_1_R20, ISO_3310_1_R10, ISO_3310_1_R40_3]: for i in l: assert i.designation in ISO_3310_1_sieves def test_ParticleSizeDistribution_basic(): ds = [240, 360, 450, 562.5, 703, 878, 1097, 1371, 1713, 2141, 2676, 3345, 4181, 5226, 6532] numbers = [65, 119, 232, 410, 629, 849, 990, 981, 825, 579, 297, 111, 21, 1] number_fractions = [0.010640039286298903, 0.01947945653953184, 0.03797675560648224, 0.06711409395973154, 0.102962841708954, 0.13897528237027337, 0.16205598297593715, 0.160582746767065, 0.13504665247994763, 0.09477819610410869, 0.048616794892781146, 0.01816991324275659, 0.0034375511540350305, 0.0001636929120969062] length_fractions = [0.0022265080273913248, 0.005405749400984079, 0.013173675010801534, 0.02909808308708846, 0.05576732372469186, 0.09403390879219536, 0.1370246122004729, 0.16966553692650058, 0.17831420382670332, 0.15641421494054603, 0.10028800800464328, 0.046849963047687335, 0.011078803825079166, 0.0006594091852147985] area_fractions = [0.0003643458522227456, 0.0011833425086503686, 0.0036047198267710797, 0.009951607879295004, 0.023826910138492176, 0.05018962198499494, 0.09139246506396961, 0.1414069073893575, 0.18572285033413602, 0.20362023102799823, 0.16318760564859225, 0.09528884410476045, 0.028165197280747324, 0.0020953509600122053] fractions = [4.8560356399310335e-05, 0.00021291794698947167, 0.0008107432330218852, 0.0027975134942445257, 0.00836789808490677, 0.02201901107895143, 0.05010399231412809, 0.0968727835386488, 0.15899879607747244, 0.2178784903712532, 0.21825921197532888, 0.159302671180342, 0.05885464261922434, 0.0054727677290887945] fraction_cdf = [4.856035639931034e-05, 0.0002614783033887821, 0.0010722215364106676, 0.003869735030655194, 0.012237633115561966, 0.0342566441945134, 0.0843606365086415, 0.18123342004729032, 0.34023221612476284, 0.5581107064960161, 0.7763699184713451, 0.9356725896516871, 0.9945272322709114, 1.0000000000000002] area_cdf = [0.00036434585222274563, 0.0015476883608731143, 0.005152408187644195, 0.015104016066939202, 0.038930926205431385, 0.08912054819042634, 0.18051301325439598, 0.3219199206437535, 0.5076427709778896, 0.7112630020058879, 0.8744506076544801, 0.9697394517592406, 0.9979046490399879, 1.0] length_cdf = [0.0022265080273913248, 0.007632257428375404, 0.020805932439176937, 0.0499040155262654, 0.10567133925095726, 0.1997052480431526, 0.3367298602436255, 0.506395397170126, 0.6847096009968294, 0.8411238159373755, 0.9414118239420188, 0.9882617869897061, 0.9993405908147853, 1.0000000000000002] number_cdf = [0.010640039286298902, 0.030119495825830737, 0.06809625143231296, 0.13521034539204452, 0.2381731871009985, 0.3771484694712718, 0.5392044524472088, 0.6997871992142738, 0.8348338516942214, 0.9296120477983301, 0.9782288426911112, 0.9963987559338677, 0.9998363070879027, 0.9999999999999997] opts = [ {'fractions': numbers, 'cdf': False, 'order': 0}, {'fractions': number_fractions, 'cdf': False, 'order': 0}, {'fractions': length_fractions, 'cdf': False, 'order': 1}, {'fractions': area_fractions, 'cdf': False, 'order': 2}, {'fractions': fractions, 'cdf': False, 'order': 3}, {'fractions': fraction_cdf, 'cdf': True, 'order': 3}, {'fractions': area_cdf, 'cdf': True, 'order': 2}, {'fractions': length_cdf, 'cdf': True, 'order': 1}, {'fractions': number_cdf, 'cdf': True, 'order': 0}] for opt in opts: asme_e799 = ParticleSizeDistribution(ds=ds, **opt) d10 = asme_e799.mean_size(1, 0) assert_close(d10, 1459.3725650679328) d21 = asme_e799.mean_size(2, 1) assert_close(d21, 1857.7888572055529) d20 = asme_e799.mean_size(2, 0) assert_close(d20, 1646.5740462835831) d32 = asme_e799.mean_size(3, 2) assert_close(d32, 2269.3210317450453) # This one is rounded to 2280 in ASME - weird d31 = asme_e799.mean_size(3, 1) assert_close(d31, 2053.2703977309357) # This one is rounded to 2060 in ASME - weird d30 = asme_e799.mean_size(3, 0) assert_close(d30, 1832.39665294744) d43 = asme_e799.mean_size(4, 3) assert_close(d43, 2670.751954612969) # The others are, rounded to the nearest 10, correct. # There's something weird about the end points of some intermediate values of # D3 and D4. Likely just rounding issues. vol_percents_exp = [0.005, 0.021, 0.081, 0.280, 0.837, 2.202, 5.010, 9.687, 15.900, 21.788, 21.826, 15.930, 5.885, 0.547] assert vol_percents_exp == [round(i*100, 3) for i in asme_e799.fractions] assert_close1d(asme_e799.fractions, fractions) assert_close1d(asme_e799.number_fractions, number_fractions) # i, i distributions d00 = asme_e799.mean_size(0, 0) assert_close(d00, 1278.7057976023061) d11 = asme_e799.mean_size(1, 1) assert_close(d11, 1654.6665309027303) d22 = asme_e799.mean_size(2, 2) assert_close(d22, 2054.3809583432208) d33 = asme_e799.mean_size(3, 3) assert_close(d33, 2450.886241250387) d44 = asme_e799.mean_size(4, 4) assert_close(d44, 2826.0471682278476) vssa = asme_e799.vssa assert_close(vssa, 0.0026656187302839165) def test_pdf_lognormal(): import scipy.stats pdf = pdf_lognormal(d=1E-4, d_characteristic=1E-5, s=1.1) assert_close(pdf, 405.5420921156425, rtol=1E-12) pdf_sp = scipy.stats.lognorm.pdf(x=1E-4/1E-5, s=1.1)/1E-5 assert_close(pdf_sp, pdf) assert 0.0 == pdf_lognormal(d=0, d_characteristic=1E-5, s=1.1) # Check we can get down almost to zero pdf = pdf_lognormal(d=3.7E-24, d_characteristic=1E-5, s=1.1) assert_close(pdf, 4.842842147909424e-301, atol=1e-200) def test_cdf_lognormal(): import scipy.stats cdf = cdf_lognormal(d=1E-4, d_characteristic=1E-5, s=1.1) assert_close(cdf, 0.98183698757981763) cdf_sp = scipy.stats.lognorm.cdf(x=1E-4/1E-5, s=1.1) assert_close(cdf, cdf_sp) assert cdf_lognormal(d=1e300, d_characteristic=1E-5, s=1.1) == 1.0 assert cdf_lognormal(d=0, d_characteristic=1E-5, s=1.1) == 0.0 def test_pdf_lognormal_basis_integral(): ans = pdf_lognormal_basis_integral(d=1E-4, d_characteristic=1E-5, s=1.1, n=-2) assert_close(ans, 56228306549.263626) # Some things: ans = pdf_lognormal_basis_integral(d=1E-100, d_characteristic=1E-5, s=1.1, n=-2) ans2 = pdf_lognormal_basis_integral(d=1E-120, d_characteristic=1E-5, s=1.1, n=-2) assert_close(ans, ans2, rtol=1E-12) # Couldn't get the limit for pdf_lognormal_basis_integral when d = 0 # # with Sympy Or wolfram @pytest.mark.scipy @pytest.mark.fuzz @pytest.mark.slow def test_pdf_lognormal_basis_integral_fuzz(): from scipy.integrate import quad # The actual integral testing analytical_vales = [] numerical_values = [] for n in [-3, -2, -1.0, 0.0, 1.0, 2.0, 3.0, 4.0, 5.0, 6.0]: # Errors at -2 (well, prevision loss anyway) for d_max in [1e-3, 1e-2, 2e-2, 3e-2, 4e-2, 5e-2, 6e-2, 7e-2, 8e-2, 1e-1]: d_max = d_max/100 # Make d smaller analytical = (pdf_lognormal_basis_integral(d_max, d_characteristic=1E-5, s=1.1, n=n) - pdf_lognormal_basis_integral(1e-20, d_characteristic=1E-5, s=1.1, n=n)) to_int = lambda d : d**n*pdf_lognormal(d, d_characteristic=1E-5, s=1.1) points = logspace(log10(d_max/1000), log10(d_max*.999), 40) numerical = quad(to_int, 1e-9, d_max, points=points)[0] # points=points analytical_vales.append(analytical) numerical_values.append(numerical) assert_close1d(analytical_vales, numerical_values, rtol=2E-6) def test_cdf_Gates_Gaudin_Schuhman(): ''' d, d_max, n, m = symbols('d, d_max, n, m') expr = (d/d_max)**n pdf = diff(expr, d) ''' cdf = cdf_Gates_Gaudin_Schuhman(d=2E-4, d_characteristic=1E-3, m=2.3) assert_close(cdf, 0.024681354508800397) cdf = cdf_Gates_Gaudin_Schuhman(d=1.01e-3, d_characteristic=1E-3, m=2.3) assert_close(cdf, 1) def test_pdf_Gates_Gaudin_Schuhman(): pdf = pdf_Gates_Gaudin_Schuhman(d=2E-4, d_characteristic=1E-3, m=2.3) assert_close(pdf, 283.8355768512045) pdf = pdf_Gates_Gaudin_Schuhman(d=2E-3, d_characteristic=1E-3, m=2.3) assert_close(pdf, 0) def test_pdf_Gates_Gaudin_Schuhman_basis_integral(): ans = pdf_Gates_Gaudin_Schuhman_basis_integral(d=0, d_characteristic=1e-3, m=2.3, n=5) assert_close(ans, 0) ans = pdf_Gates_Gaudin_Schuhman_basis_integral(d=1e-3, d_characteristic=1e-3, m=2.3, n=5) assert_close(ans, 3.1506849315068495e-16) @pytest.mark.scipy @pytest.mark.slow @pytest.mark.fuzz def test_pdf_Gates_Gaudin_Schuhman_basis_integral_fuzz(): from scipy.integrate import quad '''Note: Test takes 10x longer with the quad/points. ''' analytical_vales = [] numerical_values = [] for n in [-1.0, 0.0, 1.0, 2.0, 3.0, 4.0, 5.0, 6.0]: # Errors at -2 (well, prevision loss anyway) for d_max in [1e-3, 1e-2, 2e-2, 3e-2, 4e-2, 5e-2, 6e-2, 7e-2, 8e-2, 1e-1]: d_max = d_max/100 # d cannot be larger than d_max analytical = (pdf_Gates_Gaudin_Schuhman_basis_integral(d_max, 1E-3, 2.3, n) - pdf_Gates_Gaudin_Schuhman_basis_integral(1E-20, 1E-3, 2.3, n)) to_int = lambda d : d**n*pdf_Gates_Gaudin_Schuhman(d, 1E-3, 2.3) numerical = quad(to_int, 1E-20, d_max)[0] # points=points analytical_vales.append(analytical) numerical_values.append(numerical) # The precision here is amazing actually, 1e-14 passes # assert_close1d(analytical, numerical, rtol=1E-7) assert_close1d(analytical_vales, numerical_values, rtol=1E-7) def test_cdf_Rosin_Rammler(): cdf = cdf_Rosin_Rammler(5E-2, 200.0, 2.0) assert_close(cdf, 0.3934693402873667) def test_pdf_Rosin_Rammler(): ''' from sympy import * d, k, n = symbols('d, k, n') model = 1 - exp(-k*d**n) print(latex(diff(model, d))) ''' from scipy.integrate import quad pdf = pdf_Rosin_Rammler(1E-3, 200.0, 2.0) assert_close(pdf, 0.3999200079994667) # quad to_quad = lambda d: pdf_Rosin_Rammler(d, 200.0, 2.0) cdf_int = quad(to_quad, 0, 5e-2)[0] cdf_known = cdf_Rosin_Rammler(5E-2, 200, 2) assert_close(cdf_int, cdf_known) assert_close(1, quad(to_quad, 0, 5)[0]) assert 0 == pdf_Rosin_Rammler(0, 200, 2) def test_pdf_Rosin_Rammler_basis_integral(): ans = pdf_Rosin_Rammler_basis_integral(5E-2, 200.0, 2.0, 3) assert_close(ans, -0.00045239898439007338) # Test no error pdf_Rosin_Rammler_basis_integral(0, 200, 2, 3) @pytest.mark.slow @pytest.mark.fuzz def test_pdf_Rosin_Rammler_basis_integral_fuzz(): from scipy.integrate import quad for n in [1.0, 2.0, 3.0]: # Lower d_maxes have for d_max in [ 1e-3, 1e-2, 2e-2, 3e-2, 4e-2, 5e-2, 6e-2, 7e-2, 8e-2, 1e-1]: analytical = (pdf_Rosin_Rammler_basis_integral(d_max, 200, 2, n) - pdf_Rosin_Rammler_basis_integral(1E-20, 200, 2, n)) to_int = lambda d : d**n*pdf_Rosin_Rammler(d, 200, 2) points = logspace(log10(d_max/2000), log10(d_max*.999), 30) numerical = quad(to_int, 1E-20, d_max, points=points)[0] assert_close(analytical, numerical, rtol=1E-5) def testPSDLognormal_meshes(): a = PSDLognormal(s=0.5, d_characteristic=5E-6) ds_expect = [5.011872336272722e-07, 6.309573444801932e-07, 7.943282347242815e-07, 1e-06] ds = a.ds_discrete(d_max=1e-6, method='R10', pts=4) assert_close1d(ds_expect, ds) ds = a.ds_discrete(d_min=1e-6, method='R10', pts=4) assert_close1d(ds, [1e-06, 1.2589254117941672e-06, 1.5848931924611134e-06, 1.9952623149688796e-06]) @pytest.mark.fuzz @pytest.mark.slow def test_PSDLognormal_mean_sizes_numerical(): '''Takes like 1 second. Should not run normally. Not how things should be done, just a proof of concept. ''' # ISO standard example, done numerically a = PSDLognormal(s=0.5, d_characteristic=5E-6) ds = a.ds_discrete(d_max=1, pts=1E5) fractions = a.fractions_discrete(ds) disc = ParticleSizeDistribution(ds=ds, fractions=fractions, order=3) d20 = disc.mean_size(2, 0) assert_close(d20, 3.033E-6, rtol=0, atol=1E-9) d10 = disc.mean_size(1, 0) assert_close(d10, 2.676E-6, rtol=0, atol=1E-9) d21 = disc.mean_size(2, 1) assert_close(d21, 3.436E-6, rtol=0, atol=1E-9) d32 = disc.mean_size(3, 2) # Does match, need 6E6 pts to get the last digit to round right assert_close(d32, 4.412E-6, rtol=0, atol=1E-9) d43 = disc.mean_size(4, 3) assert_close(d43, 5.666E-6, rtol=0, atol=1E-9) d33 = disc.mean_size(3.0, 3.0) assert_close(d33, 5.000E-6, rtol=0, atol=1E-9) d00 = disc.mean_size(0.0, 0.0) assert_close(d00, 2.362E-6, rtol=0, atol=1E-9) @pytest.mark.skipif(fluids.numerics.IS_PYPY, reason="numerical issues with adaptive integrator") # Custom integrator can't handle this @pytest.mark.slow def test_PSDCustom_mean_sizes_numerical(): import scipy.stats distribution = scipy.stats.lognorm(s=0.5, scale=5E-6) disc = PSDCustom(distribution) d20 = disc.mean_size(2, 0) assert_close(d20, 3.0326532985631672e-06, rtol=1E-8) d10 = disc.mean_size(1, 0) assert_close(d10, 2.6763071425949508e-06, rtol=1E-8) d21 = disc.mean_size(2, 1) assert_close(d21, 3.4364463939548618e-06, rtol=1E-8) d32 = disc.mean_size(3, 2) assert_close(d32, 4.4124845129229773e-06, rtol=1E-8) d43 = disc.mean_size(4, 3) assert_close(d43, 5.6657422653341318e-06, rtol=1E-3) def test_PSDLognormal_mean_sizes_analytical(): disc = PSDLognormal(s=0.5, d_characteristic=5E-6) d20 = disc.mean_size(2, 0) assert_close(d20, 3.033E-6, rtol=0, atol=1E-9) assert_close(d20, 3.0326532985631672e-06, rtol=1E-12) assert_close(d20, disc.mean_size_ISO(2, 0), rtol=1E-12) d10 = disc.mean_size(1, 0) assert_close(d10, 2.676E-6, rtol=0, atol=1E-9) assert_close(d10, 2.6763071425949508e-06, rtol=1E-12) assert_close(d10, disc.mean_size_ISO(1, 0), rtol=1E-12) d21 = disc.mean_size(2, 1) assert_close(d21, 3.436E-6, rtol=0, atol=1E-9) assert_close(d21, 3.4364463939548618e-06, rtol=1E-12) assert_close(d21, disc.mean_size_ISO(1, 1), rtol=1E-12) d32 = disc.mean_size(3, 2) assert_close(d32, 4.412E-6, rtol=0, atol=1E-9) assert_close(d32, 4.4124845129229773e-06, rtol=1E-12) assert_close(d32, disc.mean_size_ISO(1, 2), rtol=1E-12) d43 = disc.mean_size(4, 3) assert_close(d43, 5.666E-6, rtol=0, atol=1E-9) assert_close(d43, 5.6657422653341318e-06, rtol=1E-12) assert_close(d43, disc.mean_size_ISO(1, 3), rtol=1E-12) assert_close(disc.vssa, 1359778.1436801916) # There guys - need more work d33 = disc.mean_size(3.0, 3.0) assert_close(d33, 5.000E-6, rtol=0, atol=1E-6) # d00 = disc.mean_size(0.0, 0.0) assert_close(d00, 2.362E-6, rtol=1e-4) def test_PSDLognormal_ds_discrete(): ds_discrete_expect = [2.4920844782646124e-07, 5.870554386661556e-07, 1.3829149496067687e-06, 3.2577055451375563e-06, 7.674112874286059e-06, 1.8077756749742233e-05, 4.258541598963051e-05, 0.0001003176268004454] dist = PSDLognormal(s=0.5, d_characteristic=5E-6) # Test the defaults assert_close1d(dist.ds_discrete(pts=8), ds_discrete_expect, rtol=1e-4) ds_discrete_expect = [1e-07, 1.389495494373139e-07, 1.9306977288832497e-07, 2.6826957952797275e-07, 3.727593720314938e-07, 5.179474679231213e-07, 7.196856730011514e-07, 1e-06] # Test end and minimum points assert_close1d(dist.ds_discrete(d_min=1e-7, d_max=1e-6, pts=8), ds_discrete_expect, rtol=1e-12) def test_PSDLognormal_ds_discrete(): # Test the cdf discrete dist = PSDLognormal(s=0.5, d_characteristic=5E-6) ds = dist.ds_discrete(d_min=1e-7, d_max=1e-6, pts=8) ans = dist.fractions_discrete(ds) fractions_expect = [2.55351295663786e-15, 3.831379657981415e-13, 3.762157252396037e-11, 2.41392961175535e-09, 1.01281244724305e-07, 2.7813750147487326e-06, 5.004382447515443e-05, 0.00059054208024234] assert_close1d(fractions_expect, ans, rtol=1e-3) def test_PSDLognormal_dn(): disc = PSDLognormal(s=0.5, d_characteristic=5E-6) # Test input of 1 ans = disc.dn(1) # The answer can vary quite a lot near the end, so it is safest just to # compare with the reverse, plugging it back to cdf assert_close(disc.cdf(ans), 1, rtol=1E-12) # assert_close(ans, 0.0002964902595794474) # Test zero input assert_close(disc.dn(0), 0) # Test 50% input ans = disc.dn(.5) assert_close(ans, 5.0e-06, rtol=1E-6) with pytest.raises(Exception): disc.dn(1.5) with pytest.raises(Exception): disc.dn(-.5) # Other orders of n - there is no comparison data for this yet!! assert_close(disc.pdf(1E-5), disc.pdf(1E-5, 3)) assert_close(disc.pdf(1E-5, 2), 13468.122877854335) assert_close(disc.pdf(1E-5, 1), 4628.2482296943508) assert_close(disc.pdf(1E-5, 0), 1238.6613794833427) # Some really large s tests - found some issues with this dist = PSDLognormal(s=4, d_characteristic=5E-6) assert_close(dist.dn(1e-15), 8.220922763476676e-20, rtol=1e-1) assert_close(dist.dn(.99999999), 28055.285560763594) assert_close(dist.dn(1e-9), 1.904197766691136e-16, rtol=1e-4) assert_close(dist.dn(1-1e-9), 131288.88851649483, rtol=1e-4) def test_PSDLognormal_dn_order_0_1_2(): '''Simple point to test where the order of n should be 0 Yes, the integrals need this many points (which makes them slow) to get the right accuracy. They've been tested and reduced already quite a bit. ''' from scipy.integrate import quad # test 2, 0 -> 2, 0 disc = PSDLognormal(s=0.5, d_characteristic=5E-6) to_int = lambda d: d**2*disc.pdf(d=d, n=0) points = [5E-6*i for i in logspace(log10(.1), log10(50), 8)] ans_numerical = (quad(to_int, 1E-7, 5E-3, points=points)[0])**0.5 ans_analytical = 3.0326532985631672e-06 # The integral is able to give over to decimals! assert_close(ans_numerical, ans_analytical, rtol=1E-10) # test 2, 1 -> 1, 1 integrated pdf to_int = lambda d: d*disc.pdf(d=d, n=1) ans_numerical = (quad(to_int, 1E-7, 5E-3, points=points)[0])**1 ans_analytical = 3.4364463939548618e-06 assert_close(ans_numerical, ans_analytical, rtol=1E-10) # test 3, 2 -> 1, 2 integrated pdf to_int = lambda d: d*disc.pdf(d=d, n=2) ans_numerical = (quad(to_int, 1E-7, 5E-3, points=points)[0])**1 ans_analytical = 4.4124845129229773e-06 assert_close(ans_numerical, ans_analytical, rtol=1E-8) def test_PSDLognormal_cdf_orders(): # Test cdf of different orders a bunch disc = PSDLognormal(s=0.5, d_characteristic=5E-6) # 16 x 4 = 64 points # had 1e-7 here too as a diameter but too many numerical issues, too sensitive to rounding # errors ds = [2E-6, 3E-6, 4E-6, 5E-6, 6E-6, 7E-6, 1E-5, 2E-5, 3E-5, 5E-5, 7E-5, 1E-4, 2E-4, 4E-4, 1E-3] ans_expect = [[ 0.36972511868508068, 0.68379899882263917, 0.8539928088656249, 0.93319279873114203, 0.96888427729983861, 0.98510775165387254, 0.99805096305713792, 0.9999903391682271, 0.99999981474719135, 0.99999999948654394, 0.99999999999391231, 0.99999999999996592, 1.0, 1.0, 1.0], [ 0.20254040832522924, 0.49136307673913149, 0.71011232639847854, 0.84134474606854293, 0.91381737643345484, 0.95283088619207579, 0.99149043874391107, 0.99991921875653167, 0.99999771392273817, 0.99999998959747816, 0.99999999982864851, 0.99999999999863987, 1.0, 1.0, 1.0000000000000002], [ 0.091334595732478097, 0.30095658738958564, 0.52141804648990697, 0.69146246127401301, 0.80638264936531323, 0.87959096325267294, 0.9703723506333426, 0.999467162897961, 0.99997782059383122, 0.99999983475152954, 0.99999999622288382, 0.99999999995749711, 0.99999999999999833, 1.0000000000000002, 1.0000000000000002], [ 0.033432418408916864, 0.15347299656473007, 0.3276949357115424, 0.5, 0.64231108623683952, 0.74950869138681098, 0.91717148099830148, 0.99721938213769046, 0.99983050191355338, 0.99999793935660408, 0.99999993474010451, 0.99999999896020164, 0.99999999999991951, 1.0, 1.0]] calc = [] for n in range(0, 4): calc.append([disc.cdf(i, n=n) for i in ds]) assert_close2d(ans_expect, calc, rtol=1E-9) def test_PSDLognormal_cdf_vs_pdf(): from scipy.integrate import quad # test PDF against CDF disc = PSDLognormal(s=0.5, d_characteristic=5E-6) ans_calc = [] ans_expect = [] for i in range(5): # Pick a random start start = uniform(0, 1) end = uniform(start, 1) d_start = disc.dn(start) d_end = disc.dn(end) delta = disc.cdf(d_end) - disc.cdf(d_start) delta_numerical = quad(disc.pdf, d_start, d_end)[0] ans_calc.append(delta_numerical) ans_expect.append(delta) assert_close1d(ans_calc, ans_expect) def test_PSD_lognormal_truncated(): psd = PSDLognormal(s=0.5, d_characteristic=5E-6, d_max=1e-5, d_min=1e-6, order=3) assert_close(psd.dn(1), 1e-5) assert_close(psd.dn(0), 1e-6) assert_close(psd.cdf(psd.dn(0.5)), 0.5) # No longer at d_characteristic # Check the cdf limits of the truncated distribution ds = [1e-8, 1e-7, 1e-6, 2e-6, 5e-6, 9e-6, 1e-5, 1e-4, 1e-3] ans = psd.fractions_discrete(ds) ans_expect = [0.0, 0.0, 0.0, 0.03577517221380477, 0.5090598176028703, 0.41473614196545805, 0.04042886821786684, 0.0, 0.0] assert sum(ans) == 1 assert_close1d(ans, ans_expect) pdfs = [psd.pdf(i) for i in ds] pdfs_expect = [0.0, 0.0, 4896.6230234795203, 81190.803665720552, 174110.24040947447, 48468.576095204902, 33302.599459012476, 0.0, 0.0] assert_close1d(pdfs, pdfs_expect) # Check the mean_size calculations - this is right assert_close(psd.mean_size(3, 2), 4.1817574249337556e-06) @pytest.mark.fuzz @pytest.mark.slow def test_PSD_lognormal_truncated_mean_size(): from scipy.integrate import quad psd = PSDLognormal(s=0.5, d_characteristic=5E-6, d_max=1e-5, d_min=1e-6, order=3) def psd_mean_size_numeric_truncated(psd, p, q): pow1 = q - psd.order to_int = lambda d : d**pow1*psd.pdf(d) denominator = quad(to_int, psd.d_min, psd.d_max)[0] # denominator = self._pdf_basis_integral_definite(d_min=self.d_minimum, d_max=self.d_excessive, n=pow1) root_power = p - q pow3 = p - psd.order # numerator = self._pdf_basis_integral_definite(d_min=self.d_minimum, d_max=self.d_excessive, n=pow3) to_int = lambda d : d**pow3*psd.pdf(d) numerator = quad(to_int, psd.d_min, psd.d_max)[0] return (numerator/denominator)**(1.0/(root_power)) # It really works! for p in range(-3, 4): for q in range(-3, 4): if p != q: assert_close(psd.mean_size(p, q), psd_mean_size_numeric_truncated(psd, p, q)) @pytest.mark.slow def test_PSD_PSDlognormal_area_length_count(): '''Compare the average difference between the analytical values for a lognormal distribution with those of a discretized form of it.Note simply adding more points did not tend to help reduce the error. For the particle count case, 700 points has the lowest error. fractions_discrete is still the slowest part. ''' import numpy as np dist = PSDLognormal(s=0.5, d_characteristic=5E-6) ds = dist.ds_discrete(pts=700, d_min=2E-7, d_max=1E-4) fractions = dist.fractions_discrete(ds) psd = ParticleSizeDistribution(ds=ds, fractions=fractions, order=3) # Trim a few at the start and end ans = np.array(psd.number_fractions)[5:-5]/np.array(dist.fractions_discrete(ds, n=0))[5:-5] avg_err = sum(np.abs(ans - 1.0))/len(ans) assert 5E-4 > avg_err ans = np.array(psd.length_fractions)[5:-5]/np.array(dist.fractions_discrete(ds, n=1))[5:-5] avg_err = sum(np.abs(ans - 1.0))/len(ans) assert 1E-4 > avg_err ans = np.array(psd.area_fractions)[5:-5]/np.array(dist.fractions_discrete(ds, n=2))[5:-5] avg_err = sum(np.abs(ans - 1.0))/len(ans) assert 1E-4 > avg_err def test_PSDInterpolated_pchip(): '''For this test, ds is the same length as fractions, and we begin the series with the zero point. Half the test is spend on the `dn` solver tests, and the other half is just that these tests are slow. ''' import numpy as np ds = [360, 450, 562.5, 703, 878, 1097, 1371, 1713, 2141, 2676, 3345, 4181, 5226, 6532] ds = np.array(ds)/1e6 numbers = [65, 119, 232, 410, 629, 849, 990, 981, 825, 579, 297, 111, 21, 1] dist = ParticleSizeDistribution(ds=ds, fractions=numbers, order=0) psd = PSDInterpolated(dist.Dis, dist.fractions) assert len(psd.fractions) == len(psd.ds) assert len(psd.fractions) == 15 # test fractions_discrete vs input assert_close1d(psd.fractions_discrete(ds), dist.fractions) # test cdf_discrete assert_close1d(psd.cdf_discrete(ds), psd.fraction_cdf[1:]) # test that dn solves backwards for exactly the right value - slow cumulative_fractions = np.cumsum(dist.fractions) ds_for_fractions = np.array([psd.dn(f) for f in cumulative_fractions]) assert_close1d(ds, ds_for_fractions) # test _pdf test_pdf = psd._pdf(1e-3) assert_close(test_pdf, 106.28284463095554) # test _cdf test_cdf = psd._cdf(1e-3) assert_close(test_cdf, 0.02278897476363087) # test _pdf_basis_integral test_int = psd._pdf_basis_integral(1e-3, 2) assert_close(test_int, 1.509707233427664e-08) # Check that the 0 point is created and the points and fractions are the same assert_close1d(psd.ds, [0] + ds.tolist()) assert_close1d(psd.fractions, [0] + dist.fractions) # test mean_size test_mean = psd.mean_size(3, 2) assert_close(test_mean, 0.002211577679574544) def test_PSDInterpolated_discrete_range_pts(): import numpy as np ds = [360, 450, 562.5, 703, 878, 1097, 1371, 1713, 2141, 2676, 3345, 4181, 5226, 6532] ds = [i*1e-6 for i in ds] numbers = [65, 119, 232, 410, 629, 849, 990, 981, 825, 579, 297, 111, 21, 1] psd = ParticleSizeDistribution(ds=ds, fractions=numbers, order=0) # test fractions_discrete vs input assert_close1d(psd.fractions_discrete(ds), psd.fractions) # test cdf_discrete assert_close1d(psd.cdf_discrete(ds), psd.interpolated.fraction_cdf[1:]) # test that dn solves backwards for exactly the right value cumulative_fractions = np.cumsum(psd.fractions) ds_for_fractions = np.array([psd.dn(f) for f in cumulative_fractions]) assert_close1d(ds, ds_for_fractions) # test _pdf test_pdf = psd.pdf(1e-3) assert_close(test_pdf, 106.28284463095554) # test _cdf test_cdf = psd.cdf(1e-3) assert_close(test_cdf, 0.02278897476363087) # test _pdf_basis_integral test_int = psd._pdf_basis_integral(1e-3, 2) assert_close(test_int, 1.509707233427664e-08) assert not isclose(psd.mean_size(3, 2), psd.interpolated.mean_size(3, 2)) def test_PSDInterpolated_discrete(): import numpy as np ds = 1E-6*np.array([240, 360, 450, 562.5, 703, 878, 1097, 1371, 1713, 2141, 2676, 3345, 4181, 5226, 6532]) numbers = [65, 119, 232, 410, 629, 849, 990, 981, 825, 579, 297, 111, 21, 1] psd = ParticleSizeDistribution(ds=ds, fractions=numbers, order=0) dn_05 = psd.dn(0.5) assert_close(dn_05, 0.002526452452632658) assert_close(psd.cdf(dn_05), 0.5, rtol=1e-4) assert_close(psd.cdf(0.002, 4), 0.18010145594167873, rtol=5e-3) assert_close(psd.pdf(0.002, 2), 466.42761174380007, rtol=5e-3) assert_close(psd.pdf(0.002526452452632658), 408.4774528377241, rtol=1e-2) assert_close(psd.mean_size(1, 0), psd.interpolated.mean_size(1, 0), rtol=0.05) assert_close(psd.cdf(100), 1) assert_close(psd.cdf(psd.dn(1)), 1) def test_psd_spacing(): ans_log = psd_spacing(d_min=1, d_max=10, pts=4, method='logarithmic') ans_log_expect = [1.0, 2.154434690031884, 4.641588833612778, 10.0] assert_close1d(ans_log, ans_log_expect) ans_lin = psd_spacing(d_min=0, d_max=10, pts=4, method='linear') ans_lin_expect = [0.0, 3.3333333333333335, 6.666666666666667, 10.0] assert_close1d(ans_lin, ans_lin_expect) with pytest.raises(Exception): psd_spacing(d_min=0, d_max=10, pts=8, method='R5') with pytest.raises(Exception): psd_spacing(d_min=5e-5, d_max=5e-4, method='BADMETHOD') # This example from an iso standard, ISO 9276-2 2014 ans_R5 = psd_spacing(d_max=25, pts=8, method='R5') ans_R5_expect = [0.9952679263837426, 1.5773933612004825, 2.499999999999999, 3.9622329811527823, 6.279716078773949, 9.95267926383743, 15.77393361200483, 25] assert_close1d(ans_R5, ans_R5_expect) ans_R5_reversed = psd_spacing(d_min=0.9952679263837426, pts=8, method='R5') assert_close1d(ans_R5_reversed, ans_R5_expect) ans_R5_float = psd_spacing(d_max=25, pts=8, method='R5.00000001') assert_close1d(ans_R5_float, ans_R5_expect) ans = psd_spacing(d_min=5e-5, d_max=1e-3, method='ISO 3310-1') ans_expect = [5e-05, 5.3e-05, 5.6e-05, 6.3e-05, 7.1e-05, 7.5e-05, 8e-05, 9e-05, 0.0001, 0.000106, 0.000112, 0.000125, 0.00014, 0.00015, 0.00016, 0.00018, 0.0002, 0.000212, 0.000224, 0.00025, 0.00028, 0.0003, 0.000315, 0.000355, 0.0004, 0.000425, 0.00045, 0.0005, 0.00056, 0.0006, 0.00063, 0.00071, 0.0008, 0.00085, 0.0009, 0.001] assert_close1d(ans, ans_expect) assert [] == psd_spacing(d_min=0, d_max=1e-6, method='ISO 3310-1') assert [] == psd_spacing(d_min=1, d_max=1e2, method='ISO 3310-1') assert psd_spacing(d_min=5e-5, d_max=1e-3, method='ISO 3310-1 R20') assert psd_spacing(d_min=5e-5, d_max=1e-3, method='ISO 3310-1 R20/3') assert psd_spacing(d_min=5e-5, d_max=1e-3, method='ISO 3310-1 R40/3') assert psd_spacing(d_min=0e-5, d_max=1e-3, method='ISO 3310-1 R10') ds = psd_spacing(d_min=1e-5, d_max=1e-4, method='ASTM E11') ds_expect = [2e-05, 2.5e-05, 3.2e-05, 3.8e-05, 4.5e-05, 5.3e-05, 6.3e-05, 7.5e-05, 9e-05] assert_close1d(ds, ds_expect)fluids-1.0.22/tests/gsod/0000755000175000017500000000000014302004506014500 5ustar nileshnileshfluids-1.0.22/tests/gsod/1974/0000755000175000017500000000000014302004506015104 5ustar nileshnileshfluids-1.0.22/tests/gsod/1974/724050-13743.op0000644000175000017500000014327214302004506016675 0ustar nileshnileshSTN--- WBAN YEARMODA TEMP DEWP SLP STP VISIB WDSP MXSPD GUST MAX MIN PRCP SNDP FRSHTT 724050 13743 19740101 42.8 23 35.8 23 1018.7 23 1016.3 23 6.0 23 6.8 23 14.0 22.0 48.9* 35.6 0.51G 999.9 110000 724050 13743 19740102 35.8 23 20.3 23 1034.4 23 1031.9 23 11.0 23 8.1 23 14.0 999.9 50.0 30.0* 0.01G 999.9 000000 724050 13743 19740103 35.7 23 26.9 23 1029.9 23 1027.5 23 7.3 23 4.1 23 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999.9 61.3* 31.3* 0.00I 999.9 000000 724050 13743 19620126 44.4 24 34.8 24 1019.9 8 1018.9 8 6.7 24 3.8 24 9.9 999.9 54.3* 38.3* 99.99 999.9 110000 724050 13743 19620127 48.3 24 36.5 24 1016.2 8 1015.2 8 10.1 24 10.6 24 20.0 999.9 52.3* 43.3* 99.99 999.9 110000 724050 13743 19620128 33.2 24 14.7 24 1023.5 8 1022.5 8 14.2 24 10.6 24 14.0 999.9 42.4* 28.4* 0.00I 999.9 000000 724050 13743 19620129 29.8 24 14.4 24 1022.5 8 1021.4 8 14.3 24 6.4 24 11.1 999.9 34.3* 26.4* 99.99 999.9 001000 724050 13743 19620130 39.4 24 28.3 24 1011.2 8 1010.2 8 11.1 24 10.1 24 29.9 999.9 53.4* 33.4* 0.00I 999.9 000000 724050 13743 19620131 21.6 24 1.9 24 1022.0 8 1021.0 8 14.9 24 14.4 24 28.9 999.9 30.4* 13.5* 0.00I 999.9 000000 724050 13743 19620201 31.6 24 15.0 24 1018.3 8 1017.3 8 8.5 24 5.9 24 12.0 999.9 35.4* 28.4* 99.99 999.9 101000 724050 13743 19620202 27.0 24 22.8 24 1024.6 8 1023.6 8 3.1 24 5.8 24 8.0 999.9 28.4* 24.4* 99.99 999.9 111000 724050 13743 19620203 30.4 24 26.9 24 1021.3 8 1020.3 8 2.3 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41.4 24 34.8 24 1021.2 8 1020.1 8 8.6 24 3.4 24 8.0 999.9 48.4* 36.3* 99.99 999.9 010000 724050 13743 19620312 46.6 24 42.0 24 1006.1 8 1005.1 8 7.5 24 6.4 24 9.9 999.9 58.3* 41.4* 99.99 999.9 110000 724050 13743 19620313 47.4 24 37.4 24 1001.8 8 1000.8 8 13.2 24 4.8 24 18.1 999.9 53.4* 41.4* 99.99 999.9 010010 724050 13743 19620314 43.8 24 27.9 24 1011.4 8 1010.4 8 13.9 24 12.7 24 19.0 999.9 49.3* 39.4* 0.00I 999.9 000000 724050 13743 19620315 42.6 24 25.5 24 1016.8 8 1015.7 8 13.5 24 8.6 24 12.0 999.9 49.3* 37.4* 0.00I 999.9 000000 724050 13743 19620316 41.6 24 24.5 24 1016.1 8 1015.3 8 11.9 24 12.4 24 22.0 999.9 46.4* 37.4* 0.00I 999.9 000000 724050 13743 19620317 40.8 24 21.8 24 1018.2 8 1017.1 8 13.4 24 13.8 24 28.0 999.9 50.4* 34.3* 0.00I 999.9 000000 724050 13743 19620318 43.4 24 22.5 24 1023.2 8 1022.2 8 14.9 24 11.6 24 19.0 999.9 52.3* 35.4* 0.00I 999.9 000000 724050 13743 19620319 43.1 24 24.8 24 1019.8 8 1018.8 8 13.0 24 3.4 24 12.0 999.9 54.3* 32.4* 99.99 999.9 010000 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0.00I 999.9 000000 724050 13743 19620329 58.4 24 32.5 24 1021.4 8 1020.3 8 14.0 24 7.2 24 14.0 999.9 75.4* 46.4* 0.00I 999.9 000000 724050 13743 19620330 67.0 24 43.7 24 1018.6 8 1017.6 8 14.4 24 8.5 24 13.0 999.9 77.4* 58.3* 0.00I 999.9 000000 724050 13743 19620331 67.3 24 52.6 24 1012.7 8 1011.6 8 14.5 24 9.8 24 15.0 999.9 76.3* 60.3* 99.99 999.9 110010 724050 13743 19620401 56.2 24 52.4 24 1002.4 8 1001.4 8 9.3 24 7.7 24 14.0 999.9 62.4* 49.3* 99.99 999.9 110000 724050 13743 19620402 45.7 24 27.9 24 1015.6 8 1014.5 8 14.6 24 12.1 24 22.9 999.9 53.4* 38.3* 99.99 999.9 010000 724050 13743 19620403 44.9 24 22.1 24 1029.6 8 1028.6 8 14.8 24 6.7 24 11.1 999.9 49.3* 40.3* 0.00I 999.9 000000 724050 13743 19620404 44.9 24 25.1 24 1034.4 8 1033.4 8 9.8 24 1.3 24 6.0 999.9 57.4* 34.3* 0.00I 999.9 000000 724050 13743 19620405 51.6 24 31.4 24 1029.5 8 1028.5 8 12.4 24 6.7 24 9.9 999.9 67.3* 42.4* 0.00I 999.9 000000 724050 13743 19620406 55.9 24 40.7 24 1025.2 8 1024.2 8 10.7 24 6.5 24 12.0 999.9 67.3* 49.3* 99.99 999.9 110000 724050 13743 19620407 63.1 24 54.6 24 1012.7 8 1011.7 8 11.6 24 7.6 24 12.0 999.9 74.3* 57.4* 99.99 999.9 110000 724050 13743 19620408 58.8 24 54.0 24 1007.7 8 1006.7 8 8.5 24 1.9 24 12.0 999.9 65.3* 55.4* 99.99 999.9 010000 724050 13743 19620409 55.5 24 48.3 24 1009.7 8 1008.7 8 6.8 24 4.5 24 18.1 999.9 67.3* 47.3* 0.00I 999.9 100000 724050 13743 19620410 59.0 24 25.0 24 1017.2 8 1016.2 8 14.9 24 9.7 24 15.9 999.9 69.3* 51.3* 0.00I 999.9 000000 724050 13743 19620411 52.4 24 41.0 24 1018.9 8 1017.9 8 9.2 24 5.9 24 9.9 999.9 64.4* 46.4* 99.99 999.9 110000 724050 13743 19620412 47.4 24 46.0 24 1018.1 8 1017.0 8 4.3 24 4.2 24 8.0 999.9 49.3* 45.3* 99.99 999.9 110000 724050 13743 19620413 45.8 24 40.1 24 1006.6 8 1005.8 8 6.3 24 7.6 24 25.1 999.9 53.4* 40.3* 99.99 999.9 111000 724050 13743 19620414 47.7 24 24.9 24 1010.0 8 1009.0 8 14.9 24 18.4 24 23.9 999.9 55.4* 43.3* 0.00I 999.9 000000 724050 13743 19620415 45.2 24 26.5 24 1009.4 8 1008.4 8 14.9 24 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24 1026.4 24 9999.9 0 51.4 24 2.1 24 6.0 999.9 70.3* 42.4* 0.00I 999.9 000000 724050 13743 19400929 57.6 24 46.4 24 1025.5 24 9999.9 0 35.5 24 2.7 24 8.9 999.9 74.3* 45.3* 0.00I 999.9 100000 724050 13743 19400930 59.4 24 51.8 24 1023.9 24 9999.9 0 44.3 24 7.9 24 13.0 999.9 64.4* 50.4* 0.00I 999.9 000000 724050 13743 19401001 56.6 24 48.2 24 1017.7 24 9999.9 0 4.9 24 10.1 24 15.0 999.9 60.3* 53.4* 99.99 999.9 110000 724050 13743 19401002 53.9 24 51.4 24 1013.4 24 9999.9 0 3.5 24 9.0 24 13.0 999.9 55.4* 52.3* 99.99 999.9 110000 724050 13743 19401003 61.3 24 51.2 24 1016.2 24 9999.9 0 6.3 24 8.5 24 15.0 999.9 74.3* 53.4* 99.99 999.9 110000 724050 13743 19401004 61.1 24 51.8 24 1022.2 24 9999.9 0 4.5 24 3.7 24 7.0 999.9 74.3* 52.3* 0.00I 999.9 000000 724050 13743 19401005 59.0 24 50.3 24 1027.9 24 9999.9 0 40.3 24 3.4 24 8.9 999.9 70.3* 49.3* 0.00I 999.9 000000 724050 13743 19401006 63.0 24 54.2 24 1025.0 24 9999.9 0 60.8 24 6.8 24 9.9 999.9 74.3* 56.3* 0.00I 999.9 000000 724050 13743 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79.3* 56.3* 99.99 999.9 010000 724050 13743 19401025 54.2 24 45.4 24 1017.9 24 9999.9 0 3.9 24 3.4 24 7.0 999.9 62.4* 48.4* 99.99 999.9 010000 724050 13743 19401026 54.6 24 46.3 24 1018.0 23 9999.9 0 7.0 24 3.5 24 9.9 999.9 68.4* 44.4* 0.00I 999.9 100000 724050 13743 19401027 50.1 24 41.3 24 1021.4 24 9999.9 0 23.8 24 2.3 24 8.9 999.9 60.3* 40.3* 0.00I 999.9 000000 724050 13743 19401028 49.1 24 37.3 24 1023.3 24 9999.9 0 9.4 24 5.4 24 8.9 999.9 58.3* 46.4* 99.99 999.9 010010 724050 13743 19401029 45.7 23 35.7 23 1027.0 23 9999.9 0 6.1 23 3.7 23 7.0 999.9 47.3* 43.3* 99.99 999.9 010000 724050 13743 19401030 50.4 23 48.0 23 1018.2 23 9999.9 0 3.5 23 3.1 23 8.9 999.9 58.3* 44.4* 99.99 999.9 110000 724050 13743 19401031 51.9 24 42.8 24 1018.2 24 9999.9 0 4.8 24 2.6 24 9.9 999.9 66.4* 41.4* 0.00I 999.9 000000 724050 13743 19401101 51.1 24 44.6 24 1022.3 24 9999.9 0 9.5 24 4.6 24 8.9 999.9 60.3* 42.4* 99.99 999.9 110000 724050 13743 19401102 59.0 24 48.1 24 1016.7 23 9999.9 0 49.2 24 9.7 24 22.9 999.9 66.4* 55.4* 99.99 999.9 010000 724050 13743 19401103 55.9 24 38.3 24 1021.0 24 9999.9 0 65.1 24 7.7 24 16.9 999.9 66.4* 45.3* 0.00I 999.9 000000 724050 13743 19401104 51.1 24 40.2 24 1026.2 24 9999.9 0 24.3 24 3.8 24 11.1 999.9 69.3* 38.3* 0.00I 999.9 000000 724050 13743 19401105 61.5 24 42.1 24 1017.9 24 9999.9 0 22.1 24 7.2 24 12.0 999.9 70.3* 56.3* 0.00I 999.9 000000 724050 13743 19401106 56.3 24 39.6 24 1012.2 24 9999.9 0 80.3 24 17.2 24 28.0 999.9 66.4* 48.4* 99.99 999.9 010000 724050 13743 19401107 47.0 24 30.3 24 1015.0 24 9999.9 0 99.4 24 16.1 24 22.9 999.9 51.3* 44.4* 0.00I 999.9 000000 724050 13743 19401108 43.0 24 27.5 24 1017.7 24 9999.9 0 99.4 24 15.5 24 26.0 999.9 47.3* 38.3* 0.00I 999.9 000000 724050 13743 19401109 42.8 24 29.3 24 1025.0 24 9999.9 0 53.2 24 6.8 24 12.0 999.9 53.4* 35.4* 0.00I 999.9 000000 724050 13743 19401110 47.0 24 34.8 24 1026.1 24 9999.9 0 5.4 24 4.3 24 9.9 999.9 62.4* 35.4* 99.99 999.9 010000 724050 13743 19401111 56.7 24 46.5 24 1024.1 24 9999.9 0 14.0 24 9.2 24 16.9 999.9 67.3* 49.3* 99.99 999.9 010000 724050 13743 19401112 57.7 24 50.9 24 1021.6 24 9999.9 0 14.1 24 11.3 24 18.1 999.9 65.3* 48.4* 99.99 999.9 010000 724050 13743 19401113 45.6 24 42.5 24 1028.4 24 9999.9 0 35.7 24 4.8 24 9.9 999.9 48.4* 43.3* 99.99 999.9 110000 724050 13743 19401114 44.8 24 43.2 24 1022.8 24 9999.9 0 3.6 24 6.4 24 12.0 999.9 46.4* 43.3* 99.99 999.9 110000 724050 13743 19401115 43.9 24 39.4 24 1014.5 24 9999.9 0 3.8 24 8.3 24 14.0 999.9 45.3* 40.3* 99.99 999.9 110000 724050 13743 19401116 37.6 24 23.5 24 1015.7 24 9999.9 0 65.0 24 12.6 24 22.9 999.9 41.4* 34.3* 0.00I 999.9 000000 724050 13743 19401117 41.1 24 24.3 24 1012.7 24 9999.9 0 68.5 24 7.4 24 19.0 999.9 53.4* 31.3* 0.00I 999.9 000000 724050 13743 19401118 46.6 24 31.0 24 1024.8 24 9999.9 0 99.4 24 10.7 24 19.0 999.9 54.3* 41.4* 0.00I 999.9 000000 724050 13743 19401119 41.0 24 31.9 24 1036.1 24 9999.9 0 64.2 24 3.7 24 8.0 999.9 54.3* 28.4* 0.00I 999.9 000000 724050 13743 19401120 47.8 24 40.2 24 1029.0 24 9999.9 0 5.3 24 6.1 24 8.9 999.9 61.3* 38.3* 0.00I 999.9 000000 724050 13743 19401121 53.3 24 44.2 24 1026.3 24 9999.9 0 4.2 24 2.7 24 7.0 999.9 66.4* 42.4* 0.00I 999.9 000000 724050 13743 19401122 61.3 24 51.3 24 1023.0 24 9999.9 0 38.0 24 6.3 24 11.1 999.9 73.4* 50.4* 0.00I 999.9 000000 724050 13743 19401123 55.7 24 45.4 24 1026.4 24 9999.9 0 44.5 24 3.9 24 8.9 999.9 64.4* 48.4* 0.00I 999.9 000000 724050 13743 19401124 50.2 24 46.3 24 1022.2 24 9999.9 0 4.0 24 3.7 24 9.9 999.9 52.3* 48.4* 99.99 999.9 110000 724050 13743 19401125 43.7 24 30.5 24 1022.6 24 9999.9 0 56.5 24 12.3 24 19.0 999.9 50.4* 39.4* 0.00I 999.9 000000 724050 13743 19401126 33.4 24 23.1 24 1026.3 24 9999.9 0 51.7 24 5.8 24 9.9 999.9 39.4* 27.3* 99.99 999.9 111000 724050 13743 19401127 41.0 24 36.4 24 1008.5 24 9999.9 0 36.6 24 9.4 24 26.0 999.9 48.4* 36.3* 99.99 999.9 110000 724050 13743 19401128 36.8 24 25.0 24 1018.6 24 9999.9 0 99.4 24 13.2 24 22.0 999.9 39.4* 33.4* 0.00I 999.9 000000 724050 13743 19401129 36.4 24 25.3 24 1021.8 23 9999.9 0 60.5 24 6.4 24 16.9 999.9 49.3* 28.4* 0.00I 999.9 000000 724050 13743 19401130 38.0 24 27.0 24 1020.7 24 9999.9 0 9.2 24 3.6 24 9.9 999.9 47.3* 30.4* 0.00I 999.9 000000 724050 13743 19401201 48.2 24 34.9 24 1014.1 24 9999.9 0 56.6 24 11.7 24 25.1 999.9 52.3* 42.4* 0.00I 999.9 000000 724050 13743 19401202 38.1 24 22.3 24 1023.4 24 9999.9 0 79.7 24 9.0 24 22.0 999.9 43.3* 28.4* 0.00I 999.9 000000 724050 13743 19401203 32.0 24 15.6 24 1024.0 24 9999.9 0 99.4 24 14.7 24 22.9 999.9 40.3* 25.3* 0.00I 999.9 000000 724050 13743 19401204 23.7 24 10.6 24 1028.0 24 9999.9 0 40.5 24 7.1 24 15.9 999.9 34.3* 13.5* 0.00I 999.9 000000 724050 13743 19401205 36.9 24 29.7 24 1016.8 24 9999.9 0 8.6 24 7.5 24 21.0 999.9 40.3* 34.3* 99.99 999.9 111000 724050 13743 19401206 34.6 23 21.9 23 1028.0 23 9999.9 0 30.1 23 7.2 23 19.0 999.9 42.4* 24.4* 0.00I 999.9 000000 724050 13743 19401207 42.6 24 31.3 23 1018.5 24 9999.9 0 27.0 24 13.6 24 21.0 999.9 56.3* 34.3* 99.99 999.9 010000 724050 13743 19401208 46.0 24 35.4 24 1016.1 24 9999.9 0 57.5 24 7.2 24 16.9 999.9 52.3* 35.4* 99.99 999.9 010000 724050 13743 19401209 37.5 24 25.8 24 1022.2 24 9999.9 0 40.2 24 4.1 24 15.9 999.9 47.3* 29.3* 0.00I 999.9 000000 724050 13743 19401210 46.7 24 31.6 24 1018.6 24 9999.9 0 6.3 24 9.6 24 15.0 999.9 60.3* 39.4* 0.00I 999.9 000000 724050 13743 19401211 47.7 24 34.2 24 1026.5 24 9999.9 0 6.0 24 4.6 24 8.9 999.9 55.4* 42.4* 0.00I 999.9 000000 724050 13743 19401212 40.0 24 36.7 24 1028.8 24 9999.9 0 3.6 24 1.9 24 6.0 999.9 50.4* 34.3* 99.99 999.9 110000 724050 13743 19401213 53.9 24 48.6 24 1022.6 24 9999.9 0 4.9 24 9.4 24 21.0 999.9 63.3* 43.3* 99.99 999.9 110000 724050 13743 19401214 37.6 24 31.7 24 1032.6 24 9999.9 0 4.6 24 5.7 24 11.1 999.9 42.4* 34.3* 99.99 999.9 010000 724050 13743 19401215 39.2 24 27.5 24 1034.8 24 9999.9 0 5.1 24 3.0 24 6.0 999.9 44.4* 36.3* 0.00I 999.9 000000 724050 13743 19401216 42.4 24 39.7 24 1022.7 24 9999.9 0 2.0 24 3.8 24 8.9 999.9 46.4* 40.3* 99.99 999.9 110000 724050 13743 19401217 44.2 24 34.7 24 1017.8 24 9999.9 0 60.4 24 14.4 24 33.0 999.9 49.3* 37.4* 0.00I 999.9 100000 724050 13743 19401218 35.5 24 27.1 24 1032.9 24 9999.9 0 12.4 24 3.0 24 9.9 999.9 44.4* 28.4* 0.00I 999.9 000000 724050 13743 19401219 33.1 24 25.5 24 1035.1 23 9999.9 0 2.0 24 1.8 24 7.0 999.9 44.4* 25.3* 0.00I 999.9 000000 724050 13743 19401220 41.3 24 33.4 24 1027.0 24 9999.9 0 3.5 24 1.7 24 7.0 999.9 54.3* 34.3* 0.00I 999.9 100000 724050 13743 19401221 42.4 23 35.9 23 1020.2 23 9999.9 0 3.0 23 3.6 23 16.9 999.9 51.3* 33.4* 0.00I 999.9 100000 724050 13743 19401222 40.9 23 32.9 23 1018.8 23 9999.9 0 3.7 23 2.8 23 8.9 999.9 59.4* 28.4* 0.00I 999.9 000000 724050 13743 19401223 44.4 23 32.5 23 1023.5 23 9999.9 0 55.0 23 8.4 23 15.0 999.9 51.3* 35.4* 0.00I 999.9 000000 724050 13743 19401224 34.7 24 26.9 24 1027.8 24 9999.9 0 35.0 24 1.8 24 9.9 999.9 51.3* 23.4* 0.00I 999.9 000000 724050 13743 19401225 42.3 24 36.2 24 1018.5 24 9999.9 0 31.0 24 2.7 24 7.0 999.9 61.3* 31.3* 0.00I 999.9 100000 724050 13743 19401226 52.7 24 49.7 24 1009.3 24 9999.9 0 18.5 24 5.8 24 13.0 999.9 54.3* 51.3* 99.99 999.9 110000 724050 13743 19401227 51.2 24 49.0 24 1011.0 24 9999.9 0 1.0 24 3.0 24 8.9 999.9 52.3* 50.4* 0.00I 999.9 100000 724050 13743 19401228 50.0 24 47.9 24 1004.0 24 9999.9 0 1.5 24 3.1 24 12.0 999.9 54.3* 47.3* 99.99 999.9 110000 724050 13743 19401229 56.5 24 53.5 24 995.3 24 9999.9 0 30.6 24 5.4 24 14.0 999.9 60.3* 52.3* 99.99 999.9 110000 724050 13743 19401230 49.0 24 36.9 24 1004.7 24 9999.9 0 49.6 24 8.0 24 20.0 999.9 55.4* 45.3* 99.99 999.9 010000 724050 13743 19401231 43.1 24 31.3 24 1022.8 24 9999.9 0 61.2 24 9.9 24 16.9 999.9 49.3* 38.3* 0.00I 999.9 000000 fluids-1.0.22/tests/gsod/1967/0000755000175000017500000000000014302004506015106 5ustar nileshnileshfluids-1.0.22/tests/gsod/1967/724050-13743.op0000644000175000017500000010453714302004506016700 0ustar nileshnileshSTN--- WBAN YEARMODA TEMP DEWP SLP STP VISIB WDSP MXSPD GUST MAX MIN PRCP SNDP FRSHTT 724050 13743 19670103 42.0 13 31.4 13 1016.0 4 1015.0 4 6.7 13 1.5 13 5.1 999.9 47.3* 36.3* 0.00I 999.9 000000 724050 13743 19670104 40.6 13 33.7 13 1012.1 4 1011.1 4 3.0 13 3.7 13 8.0 999.9 43.3* 37.4* 0.00I 999.9 100000 724050 13743 19670105 34.7 13 16.7 13 1012.6 4 1011.6 4 12.5 13 13.9 13 19.0 999.9 37.4* 31.3* 0.00I 999.9 000000 724050 13743 19670106 35.6 13 18.9 13 1028.3 4 1027.3 4 11.4 13 3.6 13 8.9 999.9 42.4* 30.4* 0.00I 999.9 000000 724050 13743 19670109 39.0 13 21.1 13 1026.4 4 1025.4 4 9.6 13 4.5 13 8.9 999.9 43.3* 35.4* 0.00I 999.9 000000 724050 13743 19670110 41.4 13 26.0 13 1018.5 4 1017.5 4 4.7 13 0.4 13 1.9 999.9 48.4* 35.4* 0.00I 999.9 000000 724050 13743 19670111 34.5 14 18.3 14 1022.6 5 1021.6 5 13.9 14 14.8 14 22.0 999.9 41.4* 31.3* 0.00I 999.9 000000 724050 13743 19670112 35.0 13 15.2 13 1020.7 4 1019.7 4 11.9 13 7.1 13 12.0 999.9 43.3* 26.4* 0.00I 999.9 000000 724050 13743 19670113 45.4 13 23.5 13 1015.4 4 1014.4 4 9.5 13 4.2 13 7.0 999.9 54.3* 33.4* 0.00I 999.9 000000 724050 13743 19670116 33.0 13 11.7 13 1025.1 4 1024.1 4 14.9 13 9.1 13 18.1 999.9 38.3* 30.4* 0.00I 999.9 000000 724050 13743 19670117 41.8 13 21.0 13 1021.6 4 1020.6 4 12.8 13 5.4 13 8.9 999.9 52.3* 29.3* 0.00I 999.9 000000 724050 13743 19670118 28.4 13 5.8 13 1035.1 4 1034.0 4 14.9 13 15.0 13 18.1 999.9 31.3* 25.3* 0.00I 999.9 000000 724050 13743 19670119 22.2 13 14.1 13 1034.6 4 1033.6 4 5.7 13 2.4 13 4.1 999.9 27.3* 18.3* 99.99 999.9 101000 724050 13743 19670120 31.5 13 22.0 13 1029.8 4 1028.8 4 6.7 13 4.7 13 8.0 999.9 42.4* 20.3* 0.00I 999.9 000000 724050 13743 19670123 59.3 13 45.6 13 1021.4 4 1020.3 4 7.3 13 5.0 13 7.0 999.9 72.3* 46.4* 0.00I 999.9 000000 724050 13743 19670124 63.4 13 48.4 13 1022.3 4 1021.3 4 7.8 13 2.5 13 4.1 999.9 72.3* 50.4* 0.00I 999.9 000000 724050 13743 19670125 62.6 13 49.4 13 1020.2 4 1019.2 4 6.3 13 4.4 13 8.9 999.9 72.3* 53.4* 0.00I 999.9 000000 724050 13743 19670126 61.3 13 46.3 13 1017.2 4 1016.1 4 8.1 13 2.9 13 6.0 999.9 69.3* 53.4* 0.00I 999.9 000000 724050 13743 19670127 58.0 13 52.7 13 997.6 4 996.6 4 6.4 13 5.1 13 15.9 999.9 63.3* 51.3* 99.99 999.9 110010 724050 13743 19670130 33.8 13 12.2 13 1022.6 4 1021.5 4 14.9 13 11.3 13 15.0 999.9 38.3* 28.4* 0.00I 999.9 000000 724050 13743 19670131 38.1 13 19.5 13 1023.0 4 1022.0 4 10.1 13 4.6 13 14.0 999.9 47.3* 27.3* 99.99 999.9 010000 724050 13743 19670201 48.7 13 34.8 13 1019.8 4 1018.8 4 5.0 13 0.8 13 2.9 999.9 58.3* 36.3* 0.00I 999.9 000000 724050 13743 19670202 55.0 13 42.8 13 1009.4 4 1008.4 4 8.2 13 7.8 13 20.0 999.9 68.4* 42.4* 99.99 999.9 010000 724050 13743 19670203 35.0 13 18.2 13 1024.7 4 1023.7 4 14.1 13 8.0 13 15.0 999.9 38.3* 32.4* 0.00I 999.9 000000 724050 13743 19670206 35.5 13 24.2 13 1013.5 4 1012.5 4 9.9 13 8.7 13 15.0 999.9 42.4* 29.3* 99.99 999.9 011000 724050 13743 19670207 20.0 15 15.1 15 1011.6 5 1010.6 5 4.3 15 14.9 15 22.0 999.9 24.4* 16.3* 99.99 999.9 001000 724050 13743 19670208 24.7 13 10.4 13 1029.3 4 1028.3 4 7.1 13 1.2 13 9.9 999.9 33.4* 15.4* 0.00I 999.9 000000 724050 13743 19670209 28.1 13 14.9 13 1024.8 4 1023.8 4 4.7 13 1.3 13 6.0 999.9 34.3* 17.4* 0.00I 999.9 000000 724050 13743 19670210 35.4 13 24.8 13 1012.5 4 1011.5 4 7.2 13 4.3 13 8.9 999.9 41.4* 28.4* 0.00I 999.9 000000 724050 13743 19670213 27.0 13 13.4 13 1024.8 4 1023.8 4 12.0 13 4.8 13 7.0 999.9 36.3* 14.4* 0.00I 999.9 000000 724050 13743 19670214 47.9 13 28.4 13 1017.9 4 1016.9 4 10.6 13 6.1 13 8.9 999.9 59.4* 32.4* 0.00I 999.9 000000 724050 13743 19670215 55.5 13 33.1 13 1013.1 4 1012.1 4 11.5 13 7.3 13 8.9 999.9 59.4* 51.3* 0.00I 999.9 000000 724050 13743 19670216 48.3 13 21.2 13 1013.1 4 1012.1 4 14.7 13 20.5 13 27.0 999.9 61.3* 39.4* 0.00I 999.9 000000 724050 13743 19670217 27.1 13 22.4 13 1024.5 4 1023.5 4 1.5 13 6.3 13 8.9 999.9 31.3* 26.4* 99.99 999.9 101000 724050 13743 19670220 36.7 13 31.7 13 1017.0 4 1016.0 4 2.7 13 6.5 13 8.0 999.9 41.4* 31.3* 99.99 999.9 110000 724050 13743 19670221 35.0 13 21.1 13 1008.6 4 1007.5 4 9.6 13 20.0 13 28.0 999.9 37.4* 32.4* 99.99 999.9 111000 724050 13743 19670223 36.0 13 16.8 13 1004.1 4 1003.0 4 12.0 13 14.7 13 25.1 999.9 37.4* 34.3* 99.99 999.9 001000 724050 13743 19670224 26.1 13 4.0 13 1011.8 4 1010.7 4 14.9 13 16.3 13 20.0 999.9 28.4* 24.4* 0.00I 999.9 000000 724050 13743 19670227 35.0 13 9.0 13 1023.9 4 1022.9 4 11.0 13 4.5 13 7.0 999.9 44.4* 23.4* 0.00I 999.9 000000 724050 13743 19670228 41.6 13 22.9 13 1007.6 4 1006.6 4 14.9 13 11.5 13 16.9 999.9 45.3* 37.4* 0.00I 999.9 000000 724050 13743 19670301 28.1 13 2.0 13 1023.3 4 1022.3 4 14.9 13 13.8 13 20.0 999.9 33.4* 21.4* 0.00I 999.9 000000 724050 13743 19670302 42.7 13 13.9 13 1018.3 4 1017.3 4 13.8 13 8.9 13 14.0 999.9 57.4* 24.4* 0.00I 999.9 000000 724050 13743 19670303 61.5 13 32.5 13 1010.6 4 1009.6 4 14.0 13 9.3 13 13.0 999.9 72.3* 48.4* 0.00I 999.9 000000 724050 13743 19670306 44.4 13 41.7 13 1005.5 4 1004.5 4 3.1 13 5.0 13 13.0 999.9 45.3* 42.4* 99.99 999.9 110000 724050 13743 19670307 39.9 13 31.6 13 1003.4 4 1002.4 4 10.3 13 15.0 13 25.1 999.9 43.3* 37.4* 99.99 999.9 111000 724050 13743 19670308 41.5 13 23.5 13 1023.5 4 1022.5 4 7.1 13 2.8 13 6.0 999.9 47.3* 32.4* 0.00I 999.9 000000 724050 13743 19670309 50.1 13 31.8 13 1025.1 4 1024.1 4 9.5 13 5.8 13 9.9 999.9 62.4* 35.4* 0.00I 999.9 000000 724050 13743 19670310 58.9 13 34.8 13 1021.9 4 1020.9 4 8.0 13 5.3 13 8.0 999.9 70.3* 42.4* 0.00I 999.9 000000 724050 13743 19670313 44.3 13 38.7 13 1021.1 4 1020.1 4 5.0 13 2.8 13 5.1 999.9 48.4* 40.3* 99.99 999.9 110000 724050 13743 19670314 64.0 13 54.2 13 1010.9 4 1009.9 4 9.8 13 5.2 13 8.0 999.9 76.3* 49.3* 99.99 999.9 110000 724050 13743 19670315 46.6 13 44.7 13 1010.1 4 1009.1 4 2.9 13 6.1 13 9.9 999.9 48.4* 43.3* 99.99 999.9 110000 724050 13743 19670316 37.3 13 15.8 13 1023.6 4 1022.6 4 14.9 13 18.8 13 28.0 999.9 43.3* 32.4* 0.00I 999.9 000000 724050 13743 19670317 32.2 13 14.3 13 1017.6 4 1016.6 4 13.6 13 23.7 13 33.0 999.9 38.3* 30.4* 99.99 999.9 001000 724050 13743 19670320 38.1 13 21.6 13 1030.3 4 1029.3 4 8.7 13 2.7 13 8.0 999.9 42.4* 31.3* 0.00I 999.9 000000 724050 13743 19670321 35.3 13 32.5 13 1020.1 4 1019.1 4 2.4 13 3.7 13 6.0 999.9 36.3* 34.3* 99.99 999.9 111000 724050 13743 19670322 40.5 13 30.6 13 1021.5 4 1020.5 4 4.5 13 8.0 13 15.9 999.9 45.3* 33.4* 99.99 999.9 101000 724050 13743 19670323 40.2 13 33.1 13 1019.8 4 1018.8 4 4.6 13 3.6 13 6.0 999.9 45.3* 35.4* 99.99 999.9 111000 724050 13743 19670324 43.4 13 26.5 13 1024.7 4 1023.8 4 8.6 13 12.0 13 15.0 999.9 48.4* 38.3* 0.00I 999.9 000000 724050 13743 19670327 49.5 13 34.3 13 1027.6 4 1026.6 4 14.7 13 5.4 13 9.9 999.9 56.3* 40.3* 0.00I 999.9 000000 724050 13743 19670328 51.4 13 42.4 13 1022.8 4 1021.8 4 7.2 13 3.1 13 8.0 999.9 61.3* 42.4* 0.00I 999.9 100000 724050 13743 19670329 54.3 13 40.7 13 1021.8 4 1020.8 4 13.2 13 12.1 13 18.1 999.9 59.4* 48.4* 0.00I 999.9 100000 724050 13743 19670330 56.0 13 35.1 13 1029.5 4 1028.5 4 7.3 13 2.7 13 6.0 999.9 63.3* 44.4* 0.00I 999.9 000000 724050 13743 19670331 56.9 13 30.6 13 1033.0 4 1032.0 4 11.4 13 6.9 13 9.9 999.9 65.3* 42.4* 0.00I 999.9 000000 724050 13743 19670403 72.6 13 46.2 13 1011.9 4 1010.9 4 14.9 13 13.9 13 22.9 999.9 81.3* 64.4* 0.00I 999.9 000000 724050 13743 19670404 47.3 13 15.7 13 1028.9 4 1027.9 4 14.9 13 5.8 13 8.0 999.9 54.3* 39.4* 0.00I 999.9 000000 724050 13743 19670405 50.8 13 43.2 13 1019.7 4 1018.7 4 7.0 13 3.8 13 7.0 999.9 58.3* 42.4* 99.99 999.9 010000 724050 13743 19670406 67.4 13 54.3 13 1009.4 4 1008.4 4 6.4 13 5.5 13 9.9 999.9 79.3* 53.4* 99.99 999.9 110000 724050 13743 19670407 57.7 13 49.6 13 1008.5 4 1007.5 4 6.5 13 10.2 13 30.9 999.9 63.3* 53.4* 99.99 999.9 110000 724050 13743 19670410 68.4 13 44.5 13 1008.8 4 1007.8 4 13.3 13 12.2 13 21.0 999.9 74.3* 63.3* 99.99 999.9 010000 724050 13743 19670411 47.7 13 20.0 13 1020.3 4 1019.3 4 14.9 13 12.0 13 15.9 999.9 54.3* 40.3* 0.00I 999.9 000000 724050 13743 19670412 45.9 13 13.7 13 1027.8 4 1026.8 4 14.9 13 6.2 13 9.9 999.9 55.4* 35.4* 0.00I 999.9 000000 724050 13743 19670413 51.1 13 29.7 13 1029.3 4 1028.3 4 14.1 13 7.8 13 11.1 999.9 55.4* 43.3* 99.99 999.9 010000 724050 13743 19670414 68.9 13 47.7 13 1020.8 4 1019.8 4 10.4 13 2.6 13 6.0 999.9 82.4* 49.3* 0.00I 999.9 000000 724050 13743 19670417 51.4 13 48.2 13 1015.0 4 1014.0 4 3.3 13 5.9 13 9.9 999.9 53.4* 48.4* 99.99 999.9 110010 724050 13743 19670418 62.0 13 40.4 13 1006.7 4 1005.7 4 13.8 13 17.7 13 25.1 999.9 65.3* 57.4* 0.00I 999.9 000000 724050 13743 19670419 50.9 13 33.7 13 1016.1 4 1015.1 4 14.9 13 20.1 13 26.0 999.9 54.3* 46.4* 0.00I 999.9 000000 724050 13743 19670420 57.6 13 34.4 13 1020.9 4 1019.8 4 14.9 13 7.6 13 13.0 999.9 66.4* 45.3* 0.00I 999.9 000000 724050 13743 19670421 65.6 13 43.1 13 1014.0 4 1013.0 4 10.2 13 5.0 13 9.9 999.9 72.3* 54.3* 99.99 999.9 010000 724050 13743 19670424 53.5 13 39.4 13 1010.8 4 1009.7 4 14.7 13 18.3 13 26.0 999.9 59.4* 48.4* 0.00I 999.9 000000 724050 13743 19670425 49.3 13 24.6 13 1025.5 4 1024.5 4 14.9 13 11.2 13 18.1 999.9 56.3* 41.4* 0.00I 999.9 000000 724050 13743 19670426 51.2 13 42.4 13 1020.3 4 1019.3 4 6.0 13 5.6 13 9.9 999.9 54.3* 47.3* 99.99 999.9 110000 724050 13743 19670427 45.4 13 37.0 13 1012.5 4 1011.5 4 11.6 13 15.0 13 20.0 999.9 52.3* 41.4* 99.99 999.9 110000 724050 13743 19670428 54.8 13 22.6 13 1020.8 4 1019.8 4 14.9 13 18.4 13 22.0 999.9 60.3* 44.4* 0.00I 999.9 000000 724050 13743 19670501 71.6 13 49.1 13 1017.0 4 1015.9 4 10.6 13 4.1 13 7.0 999.9 81.3* 60.3* 0.00I 999.9 000000 724050 13743 19670502 75.1 13 57.1 13 1011.5 4 1010.5 4 7.3 13 8.5 13 16.9 999.9 84.4* 65.3* 0.00I 999.9 000000 724050 13743 19670503 57.6 13 37.8 13 1021.6 4 1020.6 4 14.1 13 11.8 13 18.1 999.9 63.3* 51.3* 0.00I 999.9 000000 724050 13743 19670504 59.3 13 33.3 13 1028.6 4 1027.5 4 12.9 13 6.4 13 9.9 999.9 64.4* 49.3* 0.00I 999.9 000000 724050 13743 19670505 63.4 13 45.5 13 1024.7 4 1023.7 4 9.6 13 4.8 13 8.0 999.9 72.3* 48.4* 0.00I 999.9 000000 724050 13743 19670508 57.2 13 43.0 13 997.2 4 996.2 4 11.8 13 7.2 13 12.0 999.9 63.3* 49.3* 99.99 999.9 010010 724050 13743 19670509 55.7 13 38.4 13 1000.6 4 999.5 4 13.6 13 11.8 13 19.0 999.9 59.4* 48.4* 99.99 999.9 010000 724050 13743 19670510 57.0 13 36.3 13 1012.6 4 1011.6 4 10.9 13 11.9 13 20.0 999.9 62.4* 48.4* 0.00I 999.9 000000 724050 13743 19670511 60.6 13 50.4 13 1004.2 4 1003.2 4 6.9 13 7.8 13 15.0 999.9 76.3* 50.4* 99.99 999.9 010000 724050 13743 19670512 60.6 13 42.9 13 1014.8 4 1013.8 4 13.3 13 11.1 13 14.0 999.9 66.4* 55.4* 0.00I 999.9 000000 724050 13743 19670515 65.0 13 60.2 13 1003.8 4 1002.8 4 4.5 13 5.1 13 9.9 999.9 78.3* 56.3* 99.99 999.9 110000 724050 13743 19670516 59.5 13 36.8 13 1018.7 4 1017.7 4 13.3 13 12.2 13 21.0 999.9 64.4* 48.4* 0.00I 999.9 000000 724050 13743 19670517 56.1 13 40.4 13 1022.7 4 1021.7 4 7.0 13 5.4 13 13.0 999.9 64.4* 44.4* 99.99 999.9 010000 724050 13743 19670518 64.3 13 46.0 13 1019.7 4 1018.7 4 10.8 13 3.1 13 8.0 999.9 74.3* 48.4* 0.00I 999.9 100000 724050 13743 19670519 70.1 13 50.6 13 1013.0 4 1012.0 4 10.2 13 10.1 13 16.9 999.9 80.2* 56.3* 99.99 999.9 010000 724050 13743 19670522 51.9 13 47.6 13 1022.0 4 1020.9 4 4.5 13 2.0 13 6.0 999.9 57.4* 48.4* 99.99 999.9 110000 724050 13743 19670523 58.7 13 42.1 13 1020.8 4 1019.7 4 7.3 13 7.7 13 9.9 999.9 65.3* 50.4* 0.00I 999.9 000000 724050 13743 19670524 56.3 13 36.5 13 1021.3 4 1020.2 4 10.0 13 9.8 13 16.9 999.9 62.4* 47.3* 0.00I 999.9 000000 724050 13743 19670525 61.7 13 32.9 13 1015.6 4 1014.6 4 13.5 13 13.4 13 16.9 999.9 71.2* 47.3* 0.00I 999.9 000000 724050 13743 19670526 64.1 13 40.3 13 1013.6 4 1012.5 4 14.9 13 14.4 13 19.0 999.9 75.4* 52.3* 0.00I 999.9 000000 724050 13743 19670529 64.0 13 56.6 13 1009.7 4 1008.7 4 6.3 13 5.0 13 8.9 999.9 74.3* 59.4* 99.99 999.9 010000 724050 13743 19670531 59.3 13 42.3 13 1020.3 4 1019.3 4 11.8 13 3.6 13 6.0 999.9 65.3* 53.4* 99.99 999.9 010000 724050 13743 19670601 64.8 13 43.8 13 1024.9 4 1023.9 4 7.8 13 3.3 13 5.1 999.9 73.4* 52.3* 0.00I 999.9 000000 724050 13743 19670602 71.3 13 43.9 13 1024.1 4 1023.1 4 11.7 13 3.9 13 8.0 999.9 81.3* 54.3* 0.00I 999.9 000000 724050 13743 19670605 74.8 13 54.7 13 1026.1 4 1025.1 4 10.4 13 5.0 13 9.9 999.9 82.4* 60.3* 0.00I 999.9 000000 724050 13743 19670606 73.9 13 57.1 13 1023.2 4 1022.2 4 10.7 13 3.9 13 8.0 999.9 81.3* 60.3* 0.00I 999.9 000000 724050 13743 19670607 74.2 13 57.1 13 1021.0 4 1020.0 4 11.9 13 4.5 13 8.0 999.9 80.2* 61.3* 0.00I 999.9 000000 724050 13743 19670608 75.5 13 54.9 13 1020.1 4 1019.1 4 12.2 13 5.3 13 8.0 999.9 83.3* 63.3* 0.00I 999.9 000000 724050 13743 19670609 77.2 13 58.9 13 1018.9 4 1017.9 4 13.2 13 7.0 13 9.9 999.9 85.3* 63.3* 0.00I 999.9 000000 724050 13743 19670612 80.5 13 61.3 13 1018.4 4 1017.4 4 13.5 13 4.8 13 8.9 999.9 89.2* 66.4* 0.00I 999.9 000000 724050 13743 19670613 85.3 13 63.1 13 1018.9 4 1017.9 4 11.0 13 4.8 13 12.0 999.9 92.3* 71.2* 0.00I 999.9 000000 724050 13743 19670614 69.3 13 61.8 13 1024.0 4 1023.0 4 4.2 13 4.9 13 8.9 999.9 76.3* 63.3* 99.99 999.9 110000 724050 13743 19670615 73.5 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999.9 25.3* 14.4* 0.00I 999.9 000000 724050 13743 19590119 25.8 24 15.9 24 1022.8 8 1021.8 8 11.1 24 6.8 24 15.0 999.9 40.3* 18.3* 0.00I 999.9 000000 724050 13743 19590120 40.2 24 33.7 24 1021.0 8 1019.9 8 8.2 24 2.5 24 8.0 999.9 47.3* 36.3* 99.99 999.9 110000 724050 13743 19590121 53.4 24 48.4 24 1014.9 8 1013.9 8 8.5 24 9.3 24 18.1 999.9 68.4* 38.3* 99.99 999.9 010000 724050 13743 19590122 53.5 24 43.5 24 1005.0 8 1004.0 8 10.5 24 16.7 24 23.9 999.9 72.3* 33.4* 99.99 999.9 010000 724050 13743 19590123 30.1 24 12.4 24 1026.2 8 1025.2 8 11.9 24 7.2 24 15.9 999.9 39.4* 23.4* 0.00I 999.9 000000 724050 13743 19590124 32.3 24 18.6 24 1029.9 8 1028.8 8 10.1 24 3.0 24 9.9 999.9 44.4* 23.4* 0.00I 999.9 000000 724050 13743 19590125 49.0 24 30.1 24 1019.4 8 1018.4 8 11.8 24 9.4 24 15.0 999.9 61.3* 42.4* 0.00I 999.9 000000 724050 13743 19590126 40.4 24 32.0 24 1017.7 8 1016.7 8 8.7 24 6.2 24 12.0 999.9 55.4* 29.3* 99.99 999.9 101000 724050 13743 19590127 30.5 24 27.7 24 1020.3 8 1019.3 8 3.0 24 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53.4* 99.99 999.9 010000 724050 13743 19590322 38.9 24 19.5 24 1015.2 8 1014.1 8 11.4 24 18.5 24 23.9 999.9 58.3* 29.3* 0.00I 999.9 000000 724050 13743 19590323 38.7 24 11.9 24 1025.6 8 1024.6 8 11.9 24 7.7 24 15.9 999.9 55.4* 27.3* 0.00I 999.9 000000 724050 13743 19590324 53.5 24 27.0 24 1019.3 8 1018.3 8 10.3 24 2.8 24 8.0 999.9 76.3* 37.4* 0.00I 999.9 000000 724050 13743 19590325 59.4 24 30.8 24 1018.5 8 1017.5 8 7.4 24 1.9 24 9.9 999.9 80.2* 41.4* 0.00I 999.9 000000 724050 13743 19590326 59.6 24 37.5 24 1017.8 8 1016.8 8 7.1 24 4.9 24 11.1 999.9 73.4* 51.3* 0.00I 999.9 000000 724050 13743 19590327 49.3 24 44.8 24 1007.0 8 1006.0 8 3.2 24 5.1 24 9.9 999.9 59.4* 45.3* 99.99 999.9 110010 724050 13743 19590328 38.8 24 23.1 24 1016.9 8 1015.8 8 10.4 24 18.0 24 23.9 999.9 45.3* 32.4* 99.99 999.9 111000 724050 13743 19590329 39.2 24 15.0 24 1030.6 8 1029.6 8 11.6 24 4.2 24 12.0 999.9 48.4* 29.3* 0.00I 999.9 000000 724050 13743 19590330 41.8 24 36.7 24 1025.1 8 1024.1 8 6.4 24 4.6 24 8.9 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1018.7 8 11.4 24 0.4 24 6.0 999.9 82.4* 49.3* 0.00I 999.9 000000 724050 13743 19590418 69.8 24 44.6 24 1018.3 8 1017.3 8 11.4 24 4.3 24 8.0 999.9 83.3* 56.3* 0.00I 999.9 000000 724050 13743 19590419 68.3 24 57.5 24 1013.3 8 1012.3 8 9.9 24 4.3 24 9.9 999.9 78.3* 62.4* 99.99 999.9 010000 724050 13743 19590420 63.7 24 60.4 24 1005.2 8 1004.2 8 3.9 24 3.7 24 12.0 999.9 66.4* 58.3* 99.99 999.9 110000 724050 13743 19590421 54.3 24 39.5 24 1014.1 8 1013.0 8 9.8 24 5.5 24 8.9 999.9 62.4* 47.3* 0.00I 999.9 000000 724050 13743 19590422 54.5 24 34.3 24 1016.3 8 1015.3 8 11.5 24 6.5 24 12.0 999.9 62.4* 48.4* 0.00I 999.9 000000 724050 13743 19590423 53.2 24 32.1 24 1016.3 8 1015.2 8 11.4 24 6.1 24 12.0 999.9 57.4* 48.4* 99.99 999.9 010000 724050 13743 19590424 58.2 24 35.6 24 1018.1 8 1017.1 8 11.0 24 2.5 24 8.9 999.9 74.3* 46.4* 0.00I 999.9 000000 724050 13743 19590425 64.5 24 39.1 24 1019.8 8 1018.8 8 10.6 24 4.6 24 12.0 999.9 79.3* 50.4* 0.00I 999.9 000000 724050 13743 19590426 72.7 24 47.7 24 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fluids-1.0.22/tests/gsod/1943/0000755000175000017500000000000014302004506015100 5ustar nileshnileshfluids-1.0.22/tests/gsod/1943/724050-13743.op0000644000175000017500000014327214302004506016671 0ustar nileshnileshSTN--- WBAN YEARMODA TEMP DEWP SLP STP VISIB WDSP MXSPD GUST MAX MIN PRCP SNDP FRSHTT 724050 13743 19430101 36.5 24 31.8 24 1016.4 24 9999.9 0 3.0 24 1.5 24 8.9 999.9 43.0* 32.0* 99.99 999.9 110000 724050 13743 19430102 41.2 24 33.4 24 1019.7 24 9999.9 0 6.1 24 4.4 24 13.0 999.9 46.4* 36.0* 0.00I 999.9 000000 724050 13743 19430103 37.6 24 31.9 24 1021.3 24 9999.9 0 3.7 24 4.4 24 12.0 999.9 41.0* 34.3* 99.99 999.9 010000 724050 13743 19430104 38.7 24 29.5 24 1011.5 24 9999.9 0 5.0 24 15.3 24 42.9 999.9 44.4* 32.0* 99.99 999.9 110000 724050 13743 19430105 29.5 24 11.1 24 1024.9 24 9999.9 0 6.9 24 19.2 24 28.0 999.9 33.4* 25.3* 0.00I 999.9 000000 724050 13743 19430106 28.3 24 11.7 24 1029.5 24 9999.9 0 25.2 24 8.4 24 21.0 999.9 35.4* 22.5* 0.00I 999.9 000000 724050 13743 19430107 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30.9* 0.00I 999.9 100000 724050 13743 19430125 50.0 24 44.6 24 1010.0 24 9999.9 0 1.8 24 2.6 24 10.1 999.9 72.3* 39.9* 99.99 999.9 110000 724050 13743 19430126 45.2 24 38.4 24 1019.4 24 9999.9 0 2.6 24 9.4 24 22.0 999.9 62.1* 33.4* 99.99 999.9 110000 724050 13743 19430127 29.7 24 26.9 24 1030.2 24 9999.9 0 2.4 24 9.2 24 22.0 999.9 33.1* 27.0* 99.99 999.9 111000 724050 13743 19430128 29.4 24 24.9 24 1026.9 24 9999.9 0 3.2 24 11.4 24 22.9 999.9 30.4* 27.3* 99.99 999.9 111000 724050 13743 19430129 31.2 24 27.2 24 1027.5 24 9999.9 0 2.7 24 8.7 24 22.0 999.9 33.4* 28.9* 99.99 999.9 111000 724050 13743 19430130 32.7 24 28.2 24 1029.9 24 9999.9 0 2.8 24 6.8 24 15.9 999.9 34.3* 30.0* 99.99 999.9 111000 724050 13743 19430131 32.6 24 31.1 24 1027.5 24 9999.9 0 1.8 24 6.2 24 12.0 999.9 35.4* 30.0* 0.00I 999.9 100000 724050 13743 19430201 38.7 24 30.7 24 1018.2 24 9999.9 0 42.3 24 12.6 24 28.0 999.9 45.0* 32.0* 99.99 999.9 110000 724050 13743 19430202 35.0 24 21.4 24 1023.4 24 9999.9 0 71.8 24 9.3 24 19.0 999.9 42.4* 29.3* 0.00I 999.9 000000 724050 13743 19430203 33.1 24 21.9 24 1028.1 24 9999.9 0 4.5 24 5.5 24 16.9 999.9 38.3* 24.4* 99.99 999.9 011000 724050 13743 19430204 41.5 24 38.1 24 1016.4 24 9999.9 0 2.6 24 9.2 24 19.0 999.9 50.4* 36.0* 99.99 999.9 110000 724050 13743 19430205 48.0 24 41.8 24 1013.0 24 9999.9 0 1.9 24 3.6 24 13.0 999.9 53.4* 39.9* 99.99 999.9 110000 724050 13743 19430206 44.4 24 42.1 24 1006.9 24 9999.9 0 2.3 24 4.8 24 11.1 999.9 50.4* 39.9* 99.99 999.9 110010 724050 13743 19430207 40.2 24 28.4 24 1003.2 24 9999.9 0 6.6 24 12.5 24 23.9 999.9 44.4* 35.4* 99.99 999.9 110000 724050 13743 19430208 40.2 24 25.0 24 1011.9 24 9999.9 0 10.8 24 17.3 24 30.1 999.9 48.4* 34.0* 0.00I 999.9 000000 724050 13743 19430209 38.7 24 23.0 24 1017.0 24 9999.9 0 3.9 24 3.8 24 15.9 999.9 50.4* 28.9* 0.00I 999.9 000000 724050 13743 19430210 42.0 24 27.7 24 1017.8 24 9999.9 0 5.4 24 6.1 24 13.0 999.9 50.4* 34.3* 0.00I 999.9 000000 724050 13743 19430211 45.1 24 39.6 24 1005.3 24 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32.9 23 1018.5 24 9999.9 0 3.3 24 5.2 24 17.1 999.9 69.1* 34.3* 0.00I 999.9 000000 724050 13743 19430221 56.6 24 42.3 24 1012.4 24 9999.9 0 3.4 24 5.2 24 14.0 999.9 66.9* 42.1* 0.00I 999.9 000000 724050 13743 19430222 53.9 24 43.0 24 1014.0 24 9999.9 0 2.6 24 2.6 24 10.1 999.9 66.0* 41.4* 99.99 999.9 010000 724050 13743 19430223 52.4 24 41.5 24 1014.2 24 9999.9 0 2.2 24 3.2 24 20.0 999.9 73.4* 37.4* 0.00I 999.9 100000 724050 13743 19430224 61.1 24 48.4 24 1009.0 24 9999.9 0 4.1 24 9.1 24 20.0 999.9 70.3* 55.0* 99.99 999.9 010010 724050 13743 19430225 43.3 24 29.1 24 1018.2 24 9999.9 0 13.1 24 14.1 24 22.0 999.9 57.0* 36.0* 0.00I 999.9 000000 724050 13743 19430226 38.0 24 28.4 24 1013.4 24 9999.9 0 3.9 24 2.7 24 14.0 999.9 42.4* 34.0* 99.99 999.9 011000 724050 13743 19430227 31.0 24 18.1 24 1009.9 24 9999.9 0 28.8 24 15.5 24 22.9 999.9 38.3* 21.9* 99.99 999.9 001000 724050 13743 19430228 41.7 24 21.8 24 1008.2 24 9999.9 0 24.7 24 12.7 24 28.0 999.9 56.3* 30.9* 0.00I 999.9 000000 724050 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0.00I 999.9 000000 724050 13743 19430310 40.7 24 30.4 24 1036.1 23 9999.9 0 9.1 24 4.1 24 12.0 999.9 60.3* 30.4* 0.00I 999.9 100000 724050 13743 19430311 52.2 24 44.9 24 1023.0 24 9999.9 0 5.0 24 9.0 24 15.0 999.9 62.4* 46.4* 99.99 999.9 110000 724050 13743 19430312 54.6 24 43.4 24 1016.7 24 9999.9 0 5.0 24 10.0 24 16.9 999.9 60.3* 50.4* 99.99 999.9 010000 724050 13743 19430313 41.3 24 35.7 24 1021.3 24 9999.9 0 2.7 24 5.6 24 13.0 999.9 48.4* 34.3* 99.99 999.9 111000 724050 13743 19430314 41.8 24 32.1 24 1030.8 24 9999.9 0 2.5 24 1.8 24 8.0 999.9 60.3* 30.4* 0.00I 999.9 000000 724050 13743 19430315 51.1 24 35.4 24 1028.9 24 9999.9 0 4.7 24 6.4 24 12.0 999.9 70.3* 36.3* 0.00I 999.9 000000 724050 13743 19430316 62.9 24 55.1 24 1020.8 24 9999.9 0 4.8 24 7.7 24 16.9 999.9 73.4* 54.3* 99.99 999.9 110000 724050 13743 19430317 57.7 24 49.7 24 1017.8 24 9999.9 0 5.1 24 10.0 24 15.9 999.9 69.3* 45.3* 99.99 999.9 010000 724050 13743 19430318 50.6 24 41.3 24 1023.5 24 9999.9 0 3.0 24 5.7 24 8.9 999.9 66.4* 40.3* 0.00I 999.9 100000 724050 13743 19430319 60.6 24 52.1 24 1016.9 24 9999.9 0 7.7 24 8.6 24 15.9 999.9 77.4* 51.3* 99.99 999.9 110000 724050 13743 19430320 63.4 24 49.3 24 1012.4 24 9999.9 0 21.4 24 12.2 24 22.0 999.9 72.3* 55.4* 99.99 999.9 010000 724050 13743 19430321 40.6 24 25.9 24 1023.4 24 9999.9 0 9.5 24 12.6 24 22.9 999.9 54.3* 33.4* 99.99 999.9 101000 724050 13743 19430322 35.4 24 29.2 24 1019.4 24 9999.9 0 34.0 24 13.8 24 22.0 999.9 44.4* 30.4* 99.99 999.9 101000 724050 13743 19430323 38.9 24 20.6 24 1026.2 24 9999.9 0 84.1 24 15.6 24 22.9 999.9 48.4* 30.4* 0.00I 999.9 000000 724050 13743 19430324 46.3 24 23.4 24 1025.4 24 9999.9 0 4.9 24 6.4 24 16.9 999.9 61.3* 34.3* 0.00I 999.9 000000 724050 13743 19430325 54.8 23 32.9 23 1019.4 23 9999.9 0 3.9 23 9.6 23 19.0 999.9 67.3* 43.3* 0.00I 999.9 000000 724050 13743 19430326 55.6 24 38.5 24 1017.5 24 9999.9 0 7.2 24 4.0 24 19.0 999.9 75.4* 40.3* 0.00I 999.9 100000 724050 13743 19430327 57.0 24 50.5 23 1010.0 24 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55.8 24 25.8 24 1008.7 24 9999.9 0 52.9 24 17.9 24 30.9 999.9 62.4* 46.4* 99.99 999.9 010000 724050 13743 19430406 42.6 24 16.4 24 1018.3 24 9999.9 0 99.4 24 26.6 24 39.0 999.9 50.4* 34.3* 0.00I 999.9 000000 724050 13743 19430407 41.0 24 16.1 24 1024.8 24 9999.9 0 44.2 24 8.4 24 22.0 999.9 48.4* 32.4* 0.00I 999.9 000000 724050 13743 19430408 53.4 24 33.2 24 1015.3 24 9999.9 0 4.6 24 8.5 24 15.9 999.9 71.2* 42.4* 0.00I 999.9 000000 724050 13743 19430409 55.5 24 37.6 24 1016.3 24 9999.9 0 3.6 24 3.4 24 12.0 999.9 71.2* 40.3* 0.00I 999.9 000000 724050 13743 19430410 56.0 24 41.7 24 1009.0 24 9999.9 0 4.8 24 7.9 24 21.0 999.9 63.3* 49.3* 99.99 999.9 110000 724050 13743 19430411 45.4 24 19.2 23 1017.8 24 9999.9 0 57.0 24 13.0 24 19.0 999.9 56.3* 34.3* 0.00I 999.9 000000 724050 13743 19430412 48.3 24 34.3 24 1003.3 24 9999.9 0 4.5 24 10.0 24 28.0 999.9 58.3* 44.4* 99.99 999.9 110000 724050 13743 19430413 54.1 24 34.9 24 997.1 24 9999.9 0 9.4 24 15.3 24 33.0 999.9 68.4* 40.3* 99.99 999.9 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59.4* 46.4* 99.99 999.9 010000 724050 13743 19430423 52.4 24 37.4 24 1022.4 24 9999.9 0 23.6 24 3.5 24 15.9 999.9 66.4* 39.4* 0.00I 999.9 000000 724050 13743 19430424 55.8 24 39.6 24 1019.2 24 9999.9 0 31.8 24 4.7 24 9.9 999.9 70.3* 41.4* 0.00I 999.9 000000 724050 13743 19430425 64.4 24 42.4 24 1015.4 24 9999.9 0 16.9 24 7.0 24 15.9 999.9 80.2* 51.3* 0.00I 999.9 000000 724050 13743 19430426 69.2 24 47.8 23 1015.1 24 9999.9 0 24.7 24 7.4 24 14.0 999.9 74.3* 64.4* 99.99 999.9 010000 724050 13743 19430427 62.1 24 49.9 24 1020.0 24 9999.9 0 32.7 24 7.6 24 11.1 999.9 74.3* 51.3* 0.00I 999.9 000000 724050 13743 19430428 71.0 24 58.2 24 1012.5 24 9999.9 0 5.3 24 12.0 24 35.9 999.9 78.3* 62.4* 0.00I 999.9 000000 724050 13743 19430429 55.8 23 37.7 23 1025.7 23 9999.9 0 79.3 23 9.6 23 21.0 999.9 65.3* 45.3* 0.00I 999.9 000000 724050 13743 19430430 60.9 24 45.0 24 1015.8 23 9999.9 0 21.5 24 13.6 24 33.0 999.9 77.4* 53.4* 99.99 999.9 010000 724050 13743 19430501 56.0 24 29.7 24 1018.7 24 9999.9 0 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nileshnileshfluids-1.0.22/tests/gsod/1961/724050-13743.op0000644000175000017500000014327214302004506016671 0ustar nileshnileshSTN--- WBAN YEARMODA TEMP DEWP SLP STP VISIB WDSP MXSPD GUST MAX MIN PRCP SNDP FRSHTT 724050 13743 19610101 38.9 24 32.6 24 1007.8 8 1006.8 8 7.2 24 8.5 24 23.9 999.9 44.4* 33.4* 99.99 999.9 110000 724050 13743 19610102 36.8 24 25.9 24 1020.4 8 1019.4 8 8.4 24 2.2 24 13.0 999.9 42.4* 28.4* 0.00I 999.9 000000 724050 13743 19610103 37.0 24 26.0 24 1022.5 8 1021.5 8 7.9 24 2.9 24 9.9 999.9 40.3* 35.4* 0.00I 999.9 000000 724050 13743 19610104 31.5 24 18.4 24 1019.8 8 1018.7 8 9.4 24 7.2 24 15.9 999.9 35.4* 29.3* 99.99 999.9 001000 724050 13743 19610105 32.2 24 16.1 24 1023.2 8 1022.2 8 10.7 24 2.8 24 8.0 999.9 43.3* 27.3* 0.00I 999.9 000000 724050 13743 19610106 39.2 24 26.9 24 1019.0 8 1018.0 8 9.8 24 2.5 24 6.0 999.9 54.3* 31.3* 0.00I 999.9 000000 724050 13743 19610107 45.2 24 30.4 24 1017.3 8 1016.3 8 9.3 24 2.9 24 7.0 999.9 53.4* 38.3* 0.00I 999.9 000000 724050 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724050 13743 19610117 39.4 24 30.8 24 1014.4 8 1013.3 8 9.4 24 1.9 24 5.1 999.9 52.3* 33.4* 0.00I 999.9 000000 724050 13743 19610118 44.4 24 29.2 24 1014.2 8 1013.2 8 11.2 24 5.6 24 16.9 999.9 48.4* 39.4* 0.00I 999.9 000000 724050 13743 19610119 35.3 24 26.7 24 1014.0 8 1013.0 8 7.8 24 4.1 24 9.9 999.9 41.4* 26.4* 99.99 999.9 101000 724050 13743 19610120 22.8 24 15.0 24 1002.3 8 1001.3 8 6.6 24 16.3 24 23.9 999.9 27.3* 19.4* 99.99 999.9 101000 724050 13743 19610121 21.7 24 11.1 24 1014.0 8 1013.0 8 8.5 24 2.7 24 11.1 999.9 25.3* 18.3* 99.99 999.9 101000 724050 13743 19610122 18.6 24 5.8 24 1020.1 8 1019.0 8 9.7 24 3.8 24 9.9 999.9 22.5* 13.5* 99.99 999.9 001000 724050 13743 19610123 22.3 24 10.9 24 1018.1 8 1017.0 8 8.6 24 1.2 24 8.0 999.9 30.4* 16.3* 99.99 999.9 101000 724050 13743 19610124 23.7 24 13.7 24 1014.8 8 1013.8 8 8.1 24 7.2 24 33.0 999.9 32.4* 17.4* 0.00I 999.9 000000 724050 13743 19610125 14.5 24 -0.4 24 1035.1 8 1034.1 8 11.9 24 10.7 24 15.9 999.9 19.4* 8.4* 0.00I 999.9 000000 724050 13743 19610126 15.0 24 3.1 24 1029.5 8 1028.5 8 6.3 24 1.1 24 4.1 999.9 19.4* 11.3* 99.99 999.9 001000 724050 13743 19610127 18.6 24 10.5 24 1016.3 8 1015.3 8 5.9 24 5.8 24 11.1 999.9 22.5* 15.4* 99.99 999.9 101000 724050 13743 19610128 16.8 24 4.6 24 1019.6 8 1018.5 8 10.1 24 2.8 24 8.9 999.9 27.3* 9.3* 0.00I 999.9 000000 724050 13743 19610129 20.5 24 6.8 24 1020.5 8 1019.4 8 9.2 24 2.7 24 9.9 999.9 28.4* 11.3* 0.00I 999.9 000000 724050 13743 19610130 23.8 24 10.2 24 1026.1 8 1025.1 8 10.4 24 4.7 24 20.0 999.9 29.3* 17.4* 0.00I 999.9 000000 724050 13743 19610131 25.5 24 9.7 24 1026.5 8 1025.4 8 8.3 24 0.2 24 2.9 999.9 36.3* 17.4* 0.00I 999.9 000000 724050 13743 19610201 28.9 24 19.8 24 1020.4 8 1019.3 8 5.8 24 3.2 24 8.9 999.9 34.3* 22.5* 99.99 999.9 101000 724050 13743 19610202 14.0 24 -0.4 24 1031.9 8 1030.9 8 11.4 24 6.7 24 9.9 999.9 22.5* 5.4* 0.00I 999.9 000000 724050 13743 19610203 15.7 24 6.8 24 1031.6 8 1030.6 8 6.0 24 4.9 24 12.0 999.9 20.3* 11.3* 99.99 999.9 101000 724050 13743 19610204 29.6 24 24.3 24 1014.7 8 1013.7 8 6.8 24 18.1 24 27.0 999.9 35.4* 23.4* 99.99 999.9 111000 724050 13743 19610205 31.8 24 21.4 24 1030.7 8 1029.7 8 10.7 24 9.4 24 15.0 999.9 38.3* 26.4* 0.00I 999.9 000000 724050 13743 19610206 28.4 24 19.7 24 1031.5 8 1030.5 8 7.7 24 1.3 24 7.0 999.9 39.4* 18.3* 0.00I 999.9 000000 724050 13743 19610207 33.0 24 18.3 24 1028.6 8 1027.6 8 7.2 24 2.6 24 8.0 999.9 40.3* 26.4* 0.00I 999.9 000000 724050 13743 19610208 31.8 24 24.8 24 1016.1 8 1015.1 8 3.5 24 8.4 24 15.9 999.9 35.4* 30.4* 99.99 999.9 111000 724050 13743 19610209 34.6 24 26.3 24 1010.3 8 1009.3 8 10.1 24 5.8 24 13.0 999.9 41.4* 30.4* 99.99 999.9 101000 724050 13743 19610210 40.3 24 26.1 24 1009.2 8 1008.2 8 9.5 24 8.4 24 16.9 999.9 43.3* 37.4* 0.00I 999.9 000000 724050 13743 19610211 38.1 24 26.7 24 1017.0 8 1016.0 8 7.7 24 2.3 24 8.9 999.9 42.4* 34.3* 99.99 999.9 011000 724050 13743 19610212 32.2 24 29.3 24 1018.4 8 1017.4 8 3.1 24 2.9 24 8.0 999.9 35.4* 30.4* 99.99 999.9 111000 724050 13743 19610213 34.7 24 30.2 24 1026.4 8 1025.4 8 4.8 24 2.2 24 9.9 999.9 39.4* 32.4* 0.00I 999.9 100000 724050 13743 19610214 40.7 24 34.0 24 1019.9 8 1018.9 8 3.8 24 0.8 24 8.9 999.9 55.4* 35.4* 99.99 999.9 110000 724050 13743 19610215 47.6 24 22.8 24 1023.6 8 1022.6 8 10.3 24 1.6 24 9.9 999.9 55.4* 43.3* 0.00I 999.9 000000 724050 13743 19610216 44.2 24 27.7 24 1022.5 8 1021.5 8 10.8 24 5.9 24 22.0 999.9 48.4* 40.3* 99.99 999.9 010000 724050 13743 19610217 40.0 24 30.1 24 1028.6 8 1027.6 8 5.9 24 4.9 24 9.9 999.9 52.3* 34.3* 0.00I 999.9 100000 724050 13743 19610218 52.1 24 44.6 24 1018.3 8 1017.3 8 3.8 24 6.5 24 11.1 999.9 61.3* 48.4* 99.99 999.9 110000 724050 13743 19610219 59.5 24 51.8 24 1013.5 8 1012.4 8 9.9 24 8.1 24 16.9 999.9 69.3* 54.3* 99.99 999.9 110000 724050 13743 19610220 45.3 24 25.2 24 1027.6 8 1026.6 8 10.1 24 7.8 24 16.9 999.9 55.4* 38.3* 0.00I 999.9 000000 724050 13743 19610221 38.3 24 31.6 24 1029.8 8 1028.7 8 4.8 24 0.9 24 7.0 999.9 42.4* 35.4* 99.99 999.9 111000 724050 13743 19610222 40.2 24 37.4 24 1023.2 8 1022.1 8 3.1 24 0.0 24 999.9 999.9 44.4* 37.4* 99.99 999.9 110000 724050 13743 19610223 48.9 24 45.9 24 1012.2 8 1011.2 8 3.5 24 2.1 24 8.0 999.9 65.3* 42.4* 99.99 999.9 110000 724050 13743 19610224 54.8 24 44.1 24 1013.5 8 1012.5 8 9.1 24 2.3 24 8.9 999.9 71.2* 39.4* 0.00I 999.9 100000 724050 13743 19610225 60.8 24 52.6 24 1002.0 8 1000.9 8 8.0 24 8.5 24 18.1 999.9 70.3* 55.4* 99.99 999.9 110000 724050 13743 19610226 46.3 24 30.4 24 992.3 8 991.2 8 11.1 24 21.1 24 34.0 999.9 58.3* 34.3* 99.99 999.9 111000 724050 13743 19610227 51.2 24 30.0 24 1016.6 8 1015.6 8 10.8 24 4.1 24 9.9 999.9 71.2* 37.4* 0.00I 999.9 000000 724050 13743 19610228 47.8 24 32.5 24 1016.1 8 1015.1 8 8.0 24 5.8 24 13.0 999.9 65.3* 38.3* 99.99 999.9 111000 724050 13743 19610301 39.2 24 33.9 24 1022.2 8 1021.2 8 5.9 24 3.1 24 8.9 999.9 41.4* 36.3* 99.99 999.9 110000 724050 13743 19610302 45.2 24 31.1 24 1017.0 8 1016.0 8 9.5 24 5.8 24 12.0 999.9 56.3* 38.3* 99.99 999.9 110000 724050 13743 19610303 52.2 24 30.7 24 1018.0 8 1016.9 8 13.3 24 7.1 24 11.1 999.9 69.3* 42.4* 0.00I 999.9 000000 724050 13743 19610304 58.9 24 37.1 24 1016.8 8 1015.8 8 10.0 24 2.6 24 6.0 999.9 68.4* 49.3* 99.99 999.9 010000 724050 13743 19610305 60.1 24 50.3 24 1016.1 8 1015.1 8 4.8 24 0.5 24 6.0 999.9 79.3* 50.4* 99.99 999.9 010000 724050 13743 19610306 67.6 24 57.7 24 1014.8 8 1013.8 8 9.3 24 3.2 24 19.0 999.9 80.2* 59.4* 99.99 999.9 010000 724050 13743 19610307 59.4 24 50.7 24 1012.0 8 1011.0 8 4.7 24 3.9 24 13.0 999.9 74.3* 48.4* 0.00I 999.9 100000 724050 13743 19610308 48.2 24 37.5 24 1011.5 8 1010.5 8 8.0 24 7.8 24 12.0 999.9 64.4* 40.3* 99.99 999.9 110000 724050 13743 19610309 41.4 24 33.1 24 995.7 8 994.7 8 10.0 24 9.9 24 21.0 999.9 45.3* 38.3* 99.99 999.9 110000 724050 13743 19610310 36.4 24 18.0 24 1008.3 8 1007.3 8 12.7 24 22.4 24 33.0 999.9 40.3* 32.4* 99.99 999.9 001000 724050 13743 19610311 39.8 24 17.9 24 1019.2 8 1018.2 8 14.6 24 6.2 24 15.0 999.9 62.4* 29.3* 0.00I 999.9 000000 724050 13743 19610312 52.7 24 33.0 24 1019.4 8 1018.4 8 8.4 24 0.7 24 4.1 999.9 71.2* 38.3* 0.00I 999.9 000000 724050 13743 19610313 48.8 24 32.3 24 1024.1 8 1023.1 8 8.7 24 8.8 24 13.0 999.9 61.3* 43.3* 0.00I 999.9 000000 724050 13743 19610314 44.6 24 40.0 24 1011.6 8 1010.6 8 3.5 24 2.9 24 9.9 999.9 47.3* 41.4* 99.99 999.9 110000 724050 13743 19610315 51.0 24 35.8 24 1005.7 8 1004.6 8 10.0 24 7.6 24 15.0 999.9 62.4* 42.4* 99.99 999.9 010000 724050 13743 19610316 47.9 24 24.7 24 1005.3 8 1004.3 8 12.9 24 17.1 24 26.0 999.9 57.4* 40.3* 99.99 999.9 010000 724050 13743 19610317 32.4 24 10.1 24 1020.7 8 1019.7 8 13.5 24 15.7 24 23.9 999.9 40.3* 25.3* 0.00I 999.9 000000 724050 13743 19610318 34.2 24 13.4 24 1031.2 8 1030.2 8 10.4 24 4.2 24 8.9 999.9 40.3* 28.4* 99.99 999.9 010000 724050 13743 19610319 37.8 24 33.9 24 1021.5 8 1020.5 8 3.9 24 0.8 24 8.0 999.9 48.4* 33.4* 99.99 999.9 110000 724050 13743 19610320 45.2 24 29.6 24 1023.6 8 1022.6 8 11.6 24 10.3 24 15.9 999.9 55.4* 37.4* 99.99 999.9 110000 724050 13743 19610321 43.5 24 26.1 24 1027.3 8 1026.3 8 10.2 24 5.8 24 11.1 999.9 51.3* 37.4* 0.00I 999.9 000000 724050 13743 19610322 37.9 24 32.5 24 1022.0 8 1021.0 8 6.2 24 7.9 24 11.1 999.9 44.4* 35.4* 99.99 999.9 111000 724050 13743 19610323 39.2 24 36.2 24 1014.7 8 1013.7 8 3.0 24 8.4 24 11.1 999.9 42.4* 37.4* 99.99 999.9 110000 724050 13743 19610324 44.6 24 35.0 24 1013.5 8 1012.4 8 5.1 24 2.4 24 11.1 999.9 55.4* 39.4* 0.00I 999.9 000000 724050 13743 19610325 48.5 24 28.9 24 1016.6 8 1015.5 8 12.1 24 18.2 24 26.0 999.9 56.3* 42.4* 0.00I 999.9 000000 724050 13743 19610326 51.2 24 26.4 24 1020.8 8 1019.7 8 13.4 24 2.1 24 9.9 999.9 64.4* 41.4* 0.00I 999.9 000000 724050 13743 19610327 59.1 24 35.2 24 1016.9 8 1015.9 8 10.4 24 2.1 24 8.9 999.9 76.3* 47.3* 0.00I 999.9 000000 724050 13743 19610328 63.7 24 46.0 24 1008.4 8 1007.4 8 9.6 24 2.1 24 9.9 999.9 79.3* 49.3* 0.00I 999.9 000000 724050 13743 19610329 57.6 24 41.3 24 1009.4 8 1008.4 8 11.8 24 7.6 24 15.9 999.9 67.3* 50.4* 99.99 999.9 010000 724050 13743 19610330 53.3 24 28.6 24 1012.1 8 1011.1 8 11.2 24 12.5 24 21.0 999.9 63.3* 45.3* 0.00I 999.9 000000 724050 13743 19610331 43.5 24 28.2 24 1014.5 8 1013.5 8 8.7 24 6.4 24 11.1 999.9 53.4* 40.3* 99.99 999.9 110000 724050 13743 19610401 43.2 24 35.8 24 997.4 8 996.4 8 5.8 24 11.0 24 28.0 999.9 51.3* 39.4* 99.99 999.9 110000 724050 13743 19610402 44.6 24 23.1 24 1004.4 8 1003.4 8 13.2 24 13.0 24 21.0 999.9 48.4* 40.3* 99.99 999.9 010000 724050 13743 19610403 43.6 24 16.2 24 1005.6 8 1004.6 8 14.2 24 9.5 24 15.0 999.9 52.3* 36.3* 0.00I 999.9 000000 724050 13743 19610404 43.2 24 26.2 24 1001.2 8 1000.2 8 10.8 24 8.8 24 19.0 999.9 51.3* 37.4* 0.00I 999.9 000000 724050 13743 19610405 49.4 24 28.8 24 1006.8 8 1005.8 8 12.9 24 8.2 24 19.0 999.9 64.4* 39.4* 0.00I 999.9 000000 724050 13743 19610406 54.3 24 29.3 24 1006.6 8 1005.5 8 12.5 24 12.8 24 25.1 999.9 61.3* 49.3* 99.99 999.9 010000 724050 13743 19610407 48.5 24 27.8 24 1014.0 8 1013.0 8 13.3 24 11.0 24 22.9 999.9 53.4* 41.4* 0.00I 999.9 000000 724050 13743 19610408 45.0 24 23.0 24 1019.7 8 1018.7 8 14.9 24 12.3 24 22.9 999.9 53.4* 38.3* 0.00I 999.9 000000 724050 13743 19610409 45.0 24 26.3 24 1023.9 8 1022.9 8 11.9 24 6.5 24 15.0 999.9 51.3* 40.3* 99.99 999.9 010000 724050 13743 19610410 45.6 24 38.9 24 1004.8 8 1003.7 8 7.6 24 11.5 24 22.0 999.9 56.3* 40.3* 99.99 999.9 110000 724050 13743 19610411 48.6 24 28.7 24 1012.1 8 1011.1 8 13.8 24 17.9 24 23.9 999.9 54.3* 43.3* 0.00I 999.9 000000 724050 13743 19610412 45.4 24 33.1 24 1014.9 8 1013.9 8 7.6 24 5.1 24 15.0 999.9 51.3* 40.3* 99.99 999.9 110000 724050 13743 19610413 42.4 24 37.6 24 992.2 8 991.1 8 7.9 24 15.8 24 21.0 999.9 46.4* 36.3* 99.99 999.9 111000 724050 13743 19610414 51.6 24 33.4 24 1006.8 8 1005.8 8 13.5 24 10.8 24 15.9 999.9 63.3* 44.4* 0.00I 999.9 000000 724050 13743 19610415 58.4 24 41.8 24 1009.3 8 1008.3 8 12.1 24 4.2 24 12.0 999.9 73.4* 47.3* 0.00I 999.9 000000 724050 13743 19610416 60.6 24 48.6 24 999.7 8 998.6 8 10.8 24 11.8 24 16.9 999.9 67.3* 55.4* 99.99 999.9 110000 724050 13743 19610417 50.8 24 26.9 24 1003.8 8 1002.8 8 13.9 24 8.7 24 29.9 999.9 61.3* 40.3* 0.00I 999.9 000000 724050 13743 19610418 48.6 24 26.2 24 1007.0 8 1006.0 8 14.4 24 11.6 24 22.9 999.9 56.3* 42.4* 99.99 999.9 010000 724050 13743 19610419 48.6 24 30.9 24 1017.5 8 1016.5 8 13.0 24 10.2 24 16.9 999.9 56.3* 42.4* 99.99 999.9 010000 724050 13743 19610420 50.8 24 29.0 24 1026.4 8 1025.3 8 13.2 24 5.9 24 12.0 999.9 60.3* 42.4* 0.00I 999.9 000000 724050 13743 19610421 52.4 24 31.5 24 1027.6 8 1026.6 8 11.6 24 7.0 24 14.0 999.9 63.3* 41.4* 99.99 999.9 010000 724050 13743 19610422 62.1 24 49.5 24 1020.1 8 1019.1 8 8.7 24 6.7 24 13.0 999.9 78.3* 53.4* 99.99 999.9 110000 724050 13743 19610423 70.3 24 49.7 24 1014.0 8 1013.0 8 12.7 24 6.6 24 12.0 999.9 79.3* 62.4* 0.00I 999.9 000000 724050 13743 19610424 67.9 24 53.1 24 1010.7 8 1009.7 8 10.8 24 3.9 24 12.0 999.9 82.4* 57.4* 99.99 999.9 010000 724050 13743 19610425 77.1 24 52.9 24 1003.6 8 1002.6 8 13.0 24 7.0 24 16.9 999.9 87.3* 66.4* 0.00I 999.9 000000 724050 13743 19610426 68.9 24 53.2 24 1003.8 8 1002.8 8 13.4 24 11.1 24 26.0 999.9 76.3* 63.3* 99.99 999.9 010000 724050 13743 19610427 54.9 24 32.3 24 1018.5 8 1017.5 8 13.4 24 6.0 24 20.0 999.9 62.4* 49.3* 0.00I 999.9 000000 724050 13743 19610428 52.5 24 41.7 24 1014.0 8 1012.9 8 10.3 24 5.0 24 16.9 999.9 65.3* 45.3* 99.99 999.9 010010 724050 13743 19610429 49.9 24 32.8 24 1012.0 8 1011.0 8 13.4 24 15.8 24 25.1 999.9 56.3* 42.4* 99.99 999.9 010000 724050 13743 19610430 51.2 24 26.0 24 1019.1 8 1018.0 8 14.9 24 9.4 24 22.0 999.9 65.3* 41.4* 0.00I 999.9 000000 724050 13743 19610501 55.8 24 44.1 24 1016.0 8 1015.0 8 11.0 24 3.7 24 8.9 999.9 61.3* 51.3* 99.99 999.9 110000 724050 13743 19610502 56.5 24 41.6 24 1010.7 8 1009.6 8 9.3 24 9.4 24 21.0 999.9 62.4* 50.4* 99.99 999.9 110000 724050 13743 19610503 56.4 24 33.3 24 1014.8 8 1013.8 8 14.0 24 11.3 24 20.0 999.9 65.3* 48.4* 0.00I 999.9 000000 724050 13743 19610504 55.5 24 33.3 24 1022.3 8 1021.3 8 13.2 24 7.7 24 13.0 999.9 65.3* 46.4* 0.00I 999.9 000000 724050 13743 19610505 58.4 24 34.3 24 1027.9 8 1026.9 8 12.8 24 1.2 24 6.0 999.9 69.3* 47.3* 0.00I 999.9 000000 724050 13743 19610506 55.2 24 46.1 24 1029.3 8 1028.3 8 8.3 24 5.9 24 9.9 999.9 62.4* 51.3* 99.99 999.9 110000 724050 13743 19610507 58.5 24 55.4 24 1021.6 8 1020.6 8 2.3 24 1.8 24 7.0 999.9 68.4* 51.3* 99.99 999.9 110000 724050 13743 19610508 71.7 24 62.4 24 1015.0 8 1013.9 8 5.6 24 3.0 24 9.9 999.9 87.3* 61.3* 99.99 999.9 110010 724050 13743 19610509 78.1 24 63.3 24 1009.2 8 1008.2 8 11.8 24 9.2 24 15.0 999.9 87.3* 69.3* 0.00I 999.9 000000 724050 13743 19610510 66.2 24 57.4 24 1014.4 8 1013.4 8 10.8 24 5.9 24 14.0 999.9 76.3* 61.3* 99.99 999.9 010010 724050 13743 19610511 61.2 24 55.8 24 1021.8 8 1020.8 8 6.3 24 7.0 24 13.0 999.9 65.3* 58.3* 99.99 999.9 110000 724050 13743 19610512 64.0 24 60.8 24 1021.7 8 1020.7 8 3.1 24 3.7 24 12.0 999.9 75.4* 60.3* 99.99 999.9 110000 724050 13743 19610513 66.6 24 63.0 24 1018.2 8 1017.2 8 4.3 24 0.8 24 6.0 999.9 72.3* 61.3* 99.99 999.9 110000 724050 13743 19610514 69.5 24 62.4 24 1017.4 8 1016.3 8 4.5 24 0.5 24 6.0 999.9 79.3* 64.4* 0.00I 999.9 100000 724050 13743 19610515 70.2 24 61.3 24 1014.9 8 1013.9 8 9.9 24 6.0 24 14.0 999.9 82.4* 62.4* 0.00I 999.9 100000 724050 13743 19610516 74.1 24 61.4 24 1011.5 8 1010.5 8 12.9 24 9.0 24 20.0 999.9 80.2* 70.3* 99.99 999.9 010000 724050 13743 19610517 64.2 24 41.7 24 1022.4 8 1021.4 8 14.3 24 8.4 24 15.0 999.9 74.3* 53.4* 0.00I 999.9 000000 724050 13743 19610518 61.6 24 42.5 24 1024.5 8 1023.4 8 13.8 24 4.7 24 12.0 999.9 68.4* 54.3* 0.00I 999.9 000000 724050 13743 19610519 60.3 24 46.6 24 1019.8 8 1018.8 8 11.3 24 5.6 24 22.9 999.9 67.3* 55.4* 99.99 999.9 010000 724050 13743 19610520 60.7 24 42.1 24 1019.4 8 1018.4 8 12.9 24 10.8 24 18.1 999.9 68.4* 51.3* 0.00I 999.9 000000 724050 13743 19610521 62.4 24 40.6 24 1014.8 8 1013.8 8 13.4 24 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45.3* 0.00I 999.9 100000 724050 13743 19501017 59.0 24 51.8 24 1031.2 24 1030.5 24 6.3 24 4.5 24 8.9 999.9 68.4* 53.4* 0.00I 999.9 100000 724050 13743 19501018 60.7 24 58.2 24 1026.9 24 1026.2 24 2.6 24 1.5 24 7.0 999.9 74.3* 54.3* 0.00I 999.9 100000 724050 13743 19501019 63.4 24 60.0 24 1020.8 24 1020.1 24 5.4 24 1.7 24 8.9 999.9 74.3* 55.4* 0.00I 999.9 100000 724050 13743 19501020 66.6 24 59.6 24 1013.2 24 1012.5 24 7.9 24 4.2 24 12.0 999.9 74.3* 62.4* 99.99 999.9 110000 724050 13743 19501021 57.3 24 43.1 24 1017.2 24 1016.5 24 11.8 24 3.8 24 8.9 999.9 70.3* 44.4* 0.00I 999.9 000000 724050 13743 19501022 57.1 24 52.3 24 1014.3 24 1013.6 24 5.2 24 1.2 24 5.1 999.9 67.3* 50.4* 99.99 999.9 110000 724050 13743 19501023 58.5 24 57.7 24 1011.8 24 1011.1 24 4.1 24 5.6 24 16.9 999.9 63.3* 55.4* 99.99 999.9 110000 724050 13743 19501024 56.6 24 52.7 24 1017.4 24 1016.7 24 4.5 24 3.2 24 8.9 999.9 58.3* 54.3* 99.99 999.9 110000 724050 13743 19501025 59.6 24 52.4 24 1015.3 24 1014.6 24 5.8 24 4.7 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0.00I 999.9 100000 724050 13743 19580827 69.1 24 58.9 24 1016.4 8 1015.4 8 8.6 24 3.1 24 8.9 999.9 78.3* 59.4* 0.00I 999.9 000000 724050 13743 19580828 69.2 24 61.0 24 1015.2 8 1014.2 8 6.7 24 4.5 24 9.9 999.9 74.3* 64.4* 0.00I 999.9 000000 724050 13743 19580829 74.5 24 62.3 24 1012.3 8 1011.3 8 8.5 24 6.4 24 9.9 999.9 85.3* 66.4* 0.00I 999.9 000000 724050 13743 19580830 75.4 24 63.2 24 1016.6 8 1015.6 8 8.0 24 1.9 24 6.0 999.9 88.3* 65.3* 0.00I 999.9 000000 724050 13743 19580831 78.5 24 67.9 24 1015.5 8 1014.5 8 8.1 24 4.5 24 8.0 999.9 89.2* 68.4* 0.00I 999.9 000000 724050 13743 19580901 76.9 24 64.7 24 1011.9 8 1010.9 8 10.3 24 4.5 24 13.0 999.9 84.4* 68.4* 0.00I 999.9 000000 724050 13743 19580902 66.7 24 51.5 24 1019.5 8 1018.5 8 11.9 24 8.5 24 14.0 999.9 75.4* 57.4* 0.00I 999.9 000000 724050 13743 19580903 66.5 24 55.8 24 1025.3 8 1024.3 8 10.1 24 2.3 24 6.0 999.9 78.3* 56.3* 0.00I 999.9 000000 724050 13743 19580904 69.9 24 59.8 24 1026.1 8 1025.1 8 8.5 24 3.5 24 8.0 999.9 81.3* 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0ustar nileshnileshSTN--- WBAN YEARMODA TEMP DEWP SLP STP VISIB WDSP MXSPD GUST MAX MIN PRCP SNDP FRSHTT 724050 13743 19370101 44.1 11 27.6 11 9999.9 0 9999.9 0 6.4 11 4.2 11 7.0 999.9 49.3* 37.4* 0.00I 999.9 000000 724050 13743 19370102 39.7 11 37.2 11 9999.9 0 9999.9 0 1.6 11 6.6 11 9.9 999.9 42.4* 37.4* 99.99 999.9 110000 724050 13743 19370103 47.6 11 44.6 11 9999.9 0 9999.9 0 5.7 11 6.6 11 9.9 999.9 54.3* 42.4* 99.99 999.9 111000 724050 13743 19370104 38.7 12 20.2 12 9999.9 0 9999.9 0 10.7 12 8.3 12 16.9 999.9 44.4* 32.4* 0.00I 999.9 000000 724050 13743 19370105 33.8 11 26.0 11 9999.9 0 9999.9 0 2.9 11 2.6 11 6.0 999.9 38.3* 25.3* 0.00I 999.9 000000 724050 13743 19370106 37.3 11 25.1 11 9999.9 0 9999.9 0 5.5 11 6.1 11 9.9 999.9 41.4* 31.3* 0.00I 999.9 000000 724050 13743 19370107 41.8 11 39.6 11 9999.9 0 9999.9 0 2.0 11 3.0 11 7.0 999.9 46.4* 36.3* 99.99 999.9 110000 724050 13743 19370108 56.9 11 52.0 11 9999.9 0 9999.9 0 3.6 11 7.2 11 12.0 999.9 69.3* 45.3* 0.00I 999.9 100000 724050 13743 19370109 67.2 11 56.3 11 9999.9 0 9999.9 0 9.2 11 11.9 11 16.9 999.9 75.4* 56.3* 0.00I 999.9 000000 724050 13743 19370110 45.0 11 41.4 11 9999.9 0 9999.9 0 2.6 11 9.9 11 14.0 999.9 51.3* 40.3* 99.99 999.9 110000 724050 13743 19370111 37.8 11 32.6 11 9999.9 0 9999.9 0 3.3 11 4.6 11 7.0 999.9 39.4* 36.3* 0.00I 999.9 000000 724050 13743 19370112 47.3 11 37.2 11 9999.9 0 9999.9 0 6.2 11 5.4 11 9.9 999.9 54.3* 40.3* 0.00I 999.9 100000 724050 13743 19370113 44.0 11 37.0 11 9999.9 0 9999.9 0 2.3 11 3.5 11 5.1 999.9 48.4* 40.3* 0.00I 999.9 100000 724050 13743 19370114 57.6 11 54.4 11 9999.9 0 9999.9 0 4.3 11 10.9 11 13.0 999.9 66.4* 48.4* 0.00I 999.9 100000 724050 13743 19370115 59.5 11 51.9 11 9999.9 0 9999.9 0 8.7 11 11.1 11 16.9 999.9 69.3* 54.3* 99.99 999.9 010000 724050 13743 19370116 42.0 11 26.1 11 9999.9 0 9999.9 0 9.9 11 10.2 11 14.0 999.9 43.3* 39.4* 0.00I 999.9 000000 724050 13743 19370117 35.9 11 33.7 11 9999.9 0 9999.9 0 2.5 11 3.4 11 6.0 999.9 38.3* 32.4* 99.99 999.9 110000 724050 13743 19370118 56.4 11 52.6 11 9999.9 0 9999.9 0 5.7 11 9.9 11 15.9 999.9 59.4* 52.3* 99.99 999.9 111000 724050 13743 19370119 43.2 11 37.9 11 9999.9 0 9999.9 0 2.6 11 6.4 11 8.9 999.9 48.4* 40.3* 99.99 999.9 111000 724050 13743 19370120 34.8 11 34.2 11 9999.9 0 9999.9 0 1.2 11 8.8 11 14.0 999.9 38.3* 33.4* 99.99 999.9 110000 724050 13743 19370121 46.3 11 43.3 11 9999.9 0 9999.9 0 6.3 11 9.1 11 15.9 999.9 51.3* 40.3* 0.00I 999.9 100000 724050 13743 19370122 63.2 11 54.0 11 9999.9 0 9999.9 0 7.0 11 7.1 11 13.0 999.9 67.3* 60.3* 99.99 999.9 010000 724050 13743 19370123 39.7 11 36.3 11 9999.9 0 9999.9 0 2.5 11 8.7 11 9.9 999.9 43.3* 36.3* 99.99 999.9 110000 724050 13743 19370124 36.7 11 34.4 11 9999.9 0 9999.9 0 1.4 11 4.7 11 8.9 999.9 38.3* 34.3* 99.99 999.9 110000 724050 13743 19370125 53.4 10 48.7 10 9999.9 0 9999.9 0 3.8 10 8.0 10 9.9 999.9 60.3* 47.3* 99.99 999.9 110000 724050 13743 19370126 44.4 11 24.3 11 9999.9 0 9999.9 0 7.6 11 9.8 11 13.0 999.9 45.3* 42.4* 0.00I 999.9 000000 724050 13743 19370127 34.8 11 19.9 11 9999.9 0 9999.9 0 6.5 11 9.0 11 15.9 999.9 39.4* 30.4* 0.00I 999.9 000000 724050 13743 19370128 36.3 10 30.6 10 9999.9 0 9999.9 0 4.1 10 9.5 10 13.0 999.9 39.4* 32.4* 99.99 999.9 110000 724050 13743 19370129 42.3 11 36.1 11 9999.9 0 9999.9 0 6.2 11 10.6 11 14.0 999.9 47.3* 37.4* 99.99 999.9 110000 724050 13743 19370130 40.7 11 32.4 11 9999.9 0 9999.9 0 3.6 11 7.5 11 12.0 999.9 47.3* 32.4* 99.99 999.9 110000 724050 13743 19370131 40.3 11 39.2 11 9999.9 0 9999.9 0 1.6 11 3.3 11 7.0 999.9 43.3* 38.3* 99.99 999.9 110000 724050 13743 19370201 44.9 10 26.4 10 9999.9 0 9999.9 0 7.6 10 7.9 10 12.0 999.9 49.3* 40.3* 0.00I 999.9 000000 724050 13743 19370202 29.6 11 13.8 11 9999.9 0 9999.9 0 9.0 11 18.4 10 26.0 999.9 33.4* 27.3* 0.00I 999.9 000000 724050 13743 19370203 30.3 11 14.1 11 9999.9 0 9999.9 0 14.0 11 12.8 11 18.1 999.9 36.3* 24.4* 0.00I 999.9 000000 724050 13743 19370204 29.9 11 17.5 11 9999.9 0 9999.9 0 2.9 11 5.4 11 9.9 999.9 35.4* 22.5* 99.99 999.9 111000 724050 13743 19370205 31.7 11 21.0 11 9999.9 0 9999.9 0 3.9 11 17.7 11 26.0 999.9 35.4* 29.3* 99.99 999.9 101000 724050 13743 19370206 33.5 11 20.9 11 9999.9 0 9999.9 0 4.3 11 6.3 11 9.9 999.9 41.4* 22.5* 0.00I 999.9 000000 724050 13743 19370207 41.5 11 29.2 11 9999.9 0 9999.9 0 2.0 11 4.4 5 8.9 999.9 48.4* 32.4* 99.99 999.9 011000 724050 13743 19370208 43.1 10 40.8 10 9999.9 0 9999.9 0 1.2 10 4.2 10 8.9 999.9 48.4* 37.4* 99.99 999.9 110000 724050 13743 19370209 57.1 11 52.9 11 9999.9 0 9999.9 0 3.7 11 5.1 11 13.0 999.9 62.4* 54.3* 99.99 999.9 110000 724050 13743 19370210 36.1 10 23.0 10 9999.9 0 9999.9 0 4.6 10 11.1 10 14.0 999.9 39.4* 32.4* 0.00I 999.9 000000 724050 13743 19370211 28.6 11 8.5 11 9999.9 0 9999.9 0 9.9 11 10.6 11 16.9 999.9 36.3* 21.4* 0.00I 999.9 000000 724050 13743 19370212 43.9 11 21.2 11 9999.9 0 9999.9 0 7.8 11 11.1 11 13.0 999.9 56.3* 31.3* 0.00I 999.9 000000 724050 13743 19370213 49.2 10 27.8 10 9999.9 0 9999.9 0 6.1 10 9.3 10 14.0 999.9 63.3* 37.4* 0.00I 999.9 000000 724050 13743 19370214 46.3 11 32.7 11 9999.9 0 9999.9 0 8.9 11 13.7 11 21.0 999.9 49.3* 41.4* 99.99 999.9 101000 724050 13743 19370215 42.8 11 29.3 11 9999.9 0 9999.9 0 9.2 11 8.1 11 16.9 999.9 52.3* 29.3* 0.00I 999.9 000000 724050 13743 19370216 35.5 10 32.8 10 9999.9 0 9999.9 0 1.1 10 13.0 10 16.9 999.9 38.3* 33.4* 99.99 999.9 101000 724050 13743 19370217 32.7 11 17.8 11 9999.9 0 9999.9 0 12.9 11 10.2 11 13.0 999.9 40.3* 25.3* 0.00I 999.9 000000 724050 13743 19370218 34.7 11 24.3 11 9999.9 0 9999.9 0 2.0 11 3.7 11 7.0 999.9 39.4* 26.4* 0.00I 999.9 000000 724050 13743 19370219 44.4 11 33.3 11 9999.9 0 9999.9 0 4.1 11 2.6 11 8.9 999.9 52.3* 34.3* 0.00I 999.9 000000 724050 13743 19370220 39.0 11 32.6 11 9999.9 0 9999.9 0 2.4 11 3.2 11 6.0 999.9 45.3* 30.4* 99.99 999.9 111000 724050 13743 19370221 50.7 11 48.7 11 9999.9 0 9999.9 0 3.7 11 9.9 11 14.0 999.9 58.3* 41.4* 99.99 999.9 110000 724050 13743 19370222 41.5 9 22.4 9 9999.9 0 9999.9 0 14.9 9 14.5 9 22.0 999.9 45.3* 37.4* 0.00I 999.9 000000 724050 13743 19370223 40.7 11 26.6 11 9999.9 0 9999.9 0 7.1 11 4.9 11 8.9 999.9 49.3* 31.3* 0.00I 999.9 000000 724050 13743 19370224 33.7 11 29.3 11 9999.9 0 9999.9 0 4.7 11 6.9 11 9.9 999.9 36.3* 31.3* 99.99 999.9 101000 724050 13743 19370225 31.5 11 22.1 11 9999.9 0 9999.9 0 7.0 11 12.8 11 22.0 999.9 34.3* 28.4* 99.99 999.9 001000 724050 13743 19370226 31.6 11 15.2 11 9999.9 0 9999.9 0 8.3 11 17.9 11 22.9 999.9 36.3* 24.4* 0.00I 999.9 000000 724050 13743 19370227 36.3 11 22.0 11 9999.9 0 9999.9 0 7.7 11 14.1 11 16.9 999.9 40.3* 31.3* 0.00I 999.9 000000 724050 13743 19370228 26.5 10 10.7 10 9999.9 0 9999.9 0 8.0 10 11.6 10 15.9 999.9 30.4* 24.4* 0.00I 999.9 000000 724050 13743 19370301 37.5 11 16.7 11 9999.9 0 9999.9 0 6.2 11 7.4 11 14.0 999.9 47.3* 24.4* 0.00I 999.9 000000 724050 13743 19370302 42.6 11 23.2 11 9999.9 0 9999.9 0 9.6 11 10.3 11 13.0 999.9 51.3* 33.4* 0.00I 999.9 000000 724050 13743 19370303 47.6 11 29.5 11 9999.9 0 9999.9 0 5.8 11 7.5 11 12.0 999.9 56.3* 37.4* 0.00I 999.9 000000 724050 13743 19370304 53.6 10 35.6 10 9999.9 0 9999.9 0 5.1 10 8.8 10 9.9 999.9 68.4* 39.4* 0.00I 999.9 000000 724050 13743 19370305 48.7 11 30.2 11 9999.9 0 9999.9 0 8.0 11 15.0 11 23.9 999.9 52.3* 43.3* 0.00I 999.9 000000 724050 13743 19370306 55.9 11 34.5 11 9999.9 0 9999.9 0 7.9 11 13.6 11 29.9 999.9 68.4* 37.4* 0.00I 999.9 000000 724050 13743 19370307 44.8 10 24.9 10 9999.9 0 9999.9 0 8.9 10 5.8 10 9.9 999.9 54.3* 35.4* 0.00I 999.9 000000 724050 13743 19370308 45.9 12 40.8 12 9999.9 0 9999.9 0 2.3 12 4.1 12 7.0 999.9 52.3* 38.3* 99.99 999.9 111000 724050 13743 19370309 41.9 10 23.1 10 9999.9 0 9999.9 0 9.9 10 15.0 10 20.0 999.9 43.3* 40.3* 0.00I 999.9 000000 724050 13743 19370310 33.2 11 11.0 11 9999.9 0 9999.9 0 10.1 11 8.3 11 13.0 999.9 42.4* 24.4* 0.00I 999.9 000000 724050 13743 19370311 34.4 11 26.4 11 9999.9 0 9999.9 0 4.1 11 6.1 11 8.9 999.9 40.3* 28.4* 0.00I 999.9 100000 724050 13743 19370312 37.7 8 26.9 8 9999.9 0 9999.9 0 2.7 8 5.0 8 8.9 999.9 46.4* 31.3* 0.00I 999.9 000000 724050 13743 19370313 36.4 9 34.1 9 9999.9 0 9999.9 0 1.7 9 3.6 9 6.0 999.9 38.3* 34.3* 99.99 999.9 111000 724050 13743 19370314 32.1 10 30.3 10 9999.9 0 9999.9 0 1.7 10 8.3 10 9.9 999.9 32.4* 30.4* 99.99 999.9 101000 724050 13743 19370315 32.9 9 31.1 9 9999.9 0 9999.9 0 0.9 9 9.0 9 11.1 999.9 35.4* 30.4* 99.99 999.9 101000 724050 13743 19370316 33.2 10 21.5 10 9999.9 0 9999.9 0 13.2 10 21.8 10 26.0 999.9 36.3* 30.4* 0.00I 999.9 000000 724050 13743 19370317 39.5 8 22.6 8 9999.9 0 9999.9 0 11.4 8 17.7 8 22.0 999.9 46.4* 34.3* 0.00I 999.9 000000 724050 13743 19370318 43.8 11 31.3 11 9999.9 0 9999.9 0 4.5 11 5.2 11 8.9 999.9 49.3* 33.4* 0.00I 999.9 000000 724050 13743 19370319 50.8 11 34.2 10 9999.9 0 9999.9 0 8.4 11 10.8 11 21.0 999.9 58.3* 34.3* 0.00I 999.9 000000 724050 13743 19370320 55.3 11 41.8 11 9999.9 0 9999.9 0 6.9 11 5.7 11 13.0 999.9 64.4* 43.3* 0.00I 999.9 000000 724050 13743 19370321 50.9 11 36.4 11 9999.9 0 9999.9 0 9.9 11 14.6 11 21.0 999.9 53.4* 49.3* 0.00I 999.9 000000 724050 13743 19370322 46.8 10 31.7 10 9999.9 0 9999.9 0 7.1 10 8.6 10 13.0 999.9 55.4* 34.3* 0.00I 999.9 000000 724050 13743 19370323 51.0 9 30.4 9 9999.9 0 9999.9 0 5.2 9 5.0 9 9.9 999.9 58.3* 38.3* 0.00I 999.9 000000 724050 13743 19370324 50.6 11 37.6 11 9999.9 0 9999.9 0 3.6 11 6.4 11 8.9 999.9 58.3* 38.3* 0.00I 999.9 000000 724050 13743 19370325 61.7 11 45.5 11 9999.9 0 9999.9 0 5.3 11 10.2 11 23.9 999.9 69.3* 52.3* 99.99 999.9 010000 724050 13743 19370326 36.4 10 19.5 10 9999.9 0 9999.9 0 9.1 10 17.6 10 28.0 999.9 40.3* 32.4* 0.00I 999.9 000000 724050 13743 19370327 38.5 10 20.3 10 9999.9 0 9999.9 0 8.9 10 13.7 10 16.9 999.9 47.3* 28.4* 0.00I 999.9 000000 724050 13743 19370328 40.1 11 17.1 11 9999.9 0 9999.9 0 13.1 11 17.9 11 22.9 999.9 45.3* 31.3* 0.00I 999.9 000000 724050 13743 19370329 46.1 10 19.9 10 9999.9 0 9999.9 0 14.3 10 17.2 10 26.0 999.9 55.4* 34.3* 0.00I 999.9 000000 724050 13743 19370330 48.3 10 20.5 10 9999.9 0 9999.9 0 9.6 10 6.0 10 9.9 999.9 58.3* 35.4* 0.00I 999.9 000000 724050 13743 19370331 52.4 10 32.1 10 9999.9 0 9999.9 0 6.3 10 5.7 10 9.9 999.9 60.3* 41.4* 0.00I 999.9 000000 724050 13743 19370401 53.9 11 29.4 11 9999.9 0 9999.9 0 7.4 11 4.4 11 8.9 999.9 63.3* 38.3* 0.00I 999.9 000000 724050 13743 19370402 58.9 11 36.0 11 9999.9 0 9999.9 0 9.1 11 12.8 11 22.0 999.9 74.3* 47.3* 0.00I 999.9 000000 724050 13743 19370403 52.8 11 25.4 11 9999.9 0 9999.9 0 9.5 11 7.7 11 14.0 999.9 57.4* 46.4* 0.00I 999.9 000000 724050 13743 19370404 48.9 10 37.6 9 9999.9 0 9999.9 0 9.5 10 7.8 10 9.9 999.9 52.3* 41.4* 0.00I 999.9 000000 724050 13743 19370405 56.9 10 52.6 10 9999.9 0 9999.9 0 3.9 10 11.7 10 15.9 999.9 60.3* 53.4* 99.99 999.9 011000 724050 13743 19370406 66.0 11 53.0 11 9999.9 0 9999.9 0 10.2 11 12.1 11 15.9 999.9 68.4* 61.3* 0.00I 999.9 000000 724050 13743 19370407 50.7 10 31.9 10 9999.9 0 9999.9 0 8.9 10 11.7 10 16.9 999.9 59.4* 44.4* 0.00I 999.9 000000 724050 13743 19370408 55.0 11 42.4 11 9999.9 0 9999.9 0 4.8 11 6.4 11 11.1 999.9 60.3* 46.4* 99.99 999.9 001000 724050 13743 19370409 49.9 10 46.8 10 9999.9 0 9999.9 0 2.1 10 6.4 10 11.1 999.9 52.3* 48.4* 99.99 999.9 110000 724050 13743 19370410 44.3 11 25.0 11 9999.9 0 9999.9 0 11.5 11 15.0 11 19.0 999.9 51.3* 39.4* 0.00I 999.9 000000 724050 13743 19370411 44.7 9 24.4 9 9999.9 0 9999.9 0 9.8 9 16.8 9 23.9 999.9 48.4* 35.4* 99.99 999.9 010010 724050 13743 19370412 50.3 10 27.3 10 9999.9 0 9999.9 0 14.6 10 14.8 10 16.9 999.9 60.3* 39.4* 0.00I 999.9 000000 724050 13743 19370413 58.0 10 30.6 10 9999.9 0 9999.9 0 7.9 10 9.5 10 15.9 999.9 68.4* 38.3* 0.00I 999.9 000000 724050 13743 19370414 66.1 11 50.5 11 9999.9 0 9999.9 0 7.9 11 11.1 11 22.9 999.9 71.2* 57.4* 99.99 999.9 011000 724050 13743 19370415 64.4 11 50.1 11 9999.9 0 9999.9 0 7.9 11 15.1 11 20.0 999.9 69.3* 60.3* 99.99 999.9 011000 724050 13743 19370416 50.5 10 33.6 10 9999.9 0 9999.9 0 13.1 10 17.3 10 22.0 999.9 54.3* 45.3* 0.00I 999.9 000000 724050 13743 19370417 58.8 11 30.7 11 9999.9 0 9999.9 0 11.4 11 3.1 11 4.1 999.9 68.4* 43.3* 0.00I 999.9 000000 724050 13743 19370418 75.9 11 45.7 11 9999.9 0 9999.9 0 7.5 11 8.4 11 15.0 999.9 95.4* 52.3* 0.00I 999.9 000000 724050 13743 19370419 67.4 11 35.9 11 9999.9 0 9999.9 0 11.7 11 10.0 11 13.0 999.9 77.4* 57.4* 0.00I 999.9 000000 724050 13743 19370420 71.4 11 37.8 10 9999.9 0 9999.9 0 9.7 11 7.5 11 13.0 999.9 81.3* 54.3* 0.00I 999.9 000000 724050 13743 19370421 55.2 11 53.7 11 9999.9 0 9999.9 0 1.2 11 7.9 11 13.0 999.9 57.4* 53.4* 99.99 999.9 110000 724050 13743 19370422 67.1 11 47.8 11 9999.9 0 9999.9 0 8.7 11 7.5 11 12.0 999.9 78.3* 48.4* 0.00I 999.9 000000 724050 13743 19370423 59.4 9 41.1 9 9999.9 0 9999.9 0 7.4 9 6.9 9 9.9 999.9 68.4* 52.3* 0.00I 999.9 000000 724050 13743 19370424 49.7 10 40.2 9 9999.9 0 9999.9 0 8.9 10 8.4 10 12.0 999.9 52.3* 46.4* 0.00I 999.9 000000 724050 13743 19370425 47.4 9 45.5 9 9999.9 0 9999.9 0 2.4 9 10.3 9 14.0 999.9 50.4* 45.3* 99.99 999.9 110000 724050 13743 19370426 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999.9 100000 724050 13743 19370716 90.3 11 73.0 11 9999.9 0 9999.9 0 8.9 11 7.8 11 12.0 999.9 96.3* 77.4* 0.00I 999.9 000000 724050 13743 19370717 87.0 11 70.2 11 9999.9 0 9999.9 0 9.9 11 5.9 11 9.9 999.9 92.3* 77.4* 0.00I 999.9 000000 724050 13743 19370718 80.3 10 63.3 10 9999.9 0 9999.9 0 9.9 10 9.6 10 13.0 999.9 82.4* 74.3* 0.00I 999.9 000000 724050 13743 19370719 79.9 11 61.7 11 9999.9 0 9999.9 0 9.9 11 4.5 11 8.9 999.9 86.4* 67.3* 0.00I 999.9 000000 724050 13743 19370720 69.5 12 65.5 12 9999.9 0 9999.9 0 4.4 12 5.9 12 8.9 999.9 74.3* 66.4* 99.99 999.9 110000 724050 13743 19370721 77.5 11 63.0 11 9999.9 0 9999.9 0 7.4 11 8.2 11 9.9 999.9 86.4* 67.3* 0.00I 999.9 000000 724050 13743 19370722 79.1 10 61.5 10 9999.9 0 9999.9 0 7.8 10 4.2 10 7.0 999.9 86.4* 67.3* 0.00I 999.9 000000 724050 13743 19370723 83.6 11 66.9 11 9999.9 0 9999.9 0 7.1 11 4.8 11 8.9 999.9 89.2* 70.3* 0.00I 999.9 000000 724050 13743 19370724 85.6 12 70.2 12 1017.5 10 9999.9 0 10.4 12 4.9 12 9.9 999.9 92.3* 74.3* 99.99 999.9 110000 724050 13743 19370725 85.0 11 70.2 11 9999.9 0 9999.9 0 7.7 11 8.7 11 14.0 999.9 92.3* 73.4* 0.00I 999.9 000000 724050 13743 19370726 83.0 11 70.8 11 9999.9 0 9999.9 0 9.5 11 12.6 11 20.0 999.9 90.3* 75.4* 0.00I 999.9 000000 724050 13743 19370727 78.2 11 57.1 11 9999.9 0 9999.9 0 11.2 11 6.5 11 9.9 999.9 83.3* 68.4* 0.00I 999.9 000000 724050 13743 19370728 79.4 13 56.4 13 9999.9 0 9999.9 0 7.1 13 5.5 13 8.9 999.9 86.4* 64.4* 0.00I 999.9 000000 724050 13743 19370729 81.8 13 63.6 13 9999.9 0 9999.9 0 7.0 13 5.8 13 8.9 999.9 88.3* 67.3* 0.00I 999.9 000000 724050 13743 19370730 83.4 13 68.8 13 9999.9 0 9999.9 0 6.2 13 4.3 13 8.9 999.9 88.3* 71.2* 0.00I 999.9 000000 724050 13743 19370731 77.3 14 69.2 14 9999.9 0 9999.9 0 6.3 14 5.7 14 8.9 999.9 83.3* 70.3* 99.99 999.9 010000 724050 13743 19370801 80.3 13 66.4 13 9999.9 0 9999.9 0 6.6 13 4.7 12 8.9 999.9 89.2* 68.4* 0.00I 999.9 000000 724050 13743 19370802 82.8 13 66.3 13 9999.9 0 9999.9 0 6.0 13 4.2 13 8.0 999.9 88.3* 69.3* 0.00I 999.9 000000 724050 13743 19370803 84.1 12 64.8 12 9999.9 0 9999.9 0 6.1 12 3.2 12 5.1 999.9 91.2* 69.3* 0.00I 999.9 100000 724050 13743 19370804 83.7 13 67.5 13 9999.9 0 9999.9 0 7.0 13 6.4 13 9.9 999.9 89.2* 71.2* 0.00I 999.9 000000 724050 13743 19370805 85.5 14 70.5 13 9999.9 0 9999.9 0 9.0 14 7.8 14 9.9 999.9 91.2* 74.3* 0.00I 999.9 000000 724050 13743 19370806 82.6 24 73.4 24 9999.9 0 9999.9 0 8.5 24 4.4 24 11.1 999.9 95.4* 74.3* 0.00I 999.9 000000 724050 13743 19370807 82.7 24 73.4 24 9999.9 0 9999.9 0 8.5 24 4.8 24 8.9 999.9 93.4* 76.3* 99.99 999.9 010010 724050 13743 19370808 79.2 24 70.1 24 9999.9 0 9999.9 0 5.7 24 3.7 24 8.0 999.9 92.3* 70.3* 99.99 999.9 111010 724050 13743 19370809 77.6 24 70.9 24 9999.9 0 9999.9 0 5.8 24 4.3 24 8.9 999.9 90.3* 69.3* 0.00I 999.9 100000 724050 13743 19370810 83.4 18 72.5 18 9999.9 0 9999.9 0 7.4 18 9.2 18 14.0 999.9 88.3* 75.4* 0.00I 999.9 000010 724050 13743 19370811 81.0 22 71.5 22 9999.9 0 9999.9 0 8.7 22 10.8 22 16.9 999.9 87.3* 76.3* 0.00I 999.9 000000 724050 13743 19370812 76.9 23 69.2 22 9999.9 0 9999.9 0 7.8 23 8.3 23 15.9 999.9 90.3* 67.3* 0.00I 999.9 000000 724050 13743 19370813 75.8 24 69.1 24 9999.9 0 9999.9 0 5.8 24 3.5 24 14.0 999.9 85.3* 68.4* 99.99 999.9 010000 724050 13743 19370814 76.4 24 61.5 24 9999.9 0 9999.9 0 8.0 23 4.6 24 9.9 999.9 88.3* 66.4* 0.00I 999.9 100000 724050 13743 19370815 76.0 24 61.9 24 9999.9 0 9999.9 0 7.4 24 3.4 24 8.9 999.9 89.2* 63.3* 0.00I 999.9 000000 724050 13743 19370816 75.8 24 61.3 23 9999.9 0 9999.9 0 6.8 24 3.7 24 8.9 999.9 90.3* 57.4* 0.00I 999.9 000000 724050 13743 19370817 77.6 24 64.0 24 9999.9 0 9999.9 0 6.6 24 5.8 24 12.0 999.9 92.3* 64.4* 0.00I 999.9 000000 724050 13743 19370818 82.8 24 70.9 24 9999.9 0 9999.9 0 5.8 24 5.6 24 9.9 999.9 96.3* 73.4* 0.00I 999.9 100000 724050 13743 19370819 84.0 24 72.7 24 9999.9 0 9999.9 0 6.3 24 6.5 24 14.0 999.9 96.3* 73.4* 0.00I 999.9 000000 724050 13743 19370820 85.5 23 72.3 23 9999.9 0 9999.9 0 8.6 23 6.2 23 9.9 999.9 97.3* 76.3* 0.00I 999.9 000000 724050 13743 19370821 84.7 24 74.1 24 9999.9 0 9999.9 0 8.9 24 5.6 24 11.1 999.9 95.4* 74.3* 0.00I 999.9 000000 724050 13743 19370822 78.6 24 72.5 24 9999.9 0 9999.9 0 6.4 24 4.6 24 8.9 999.9 88.3* 71.2* 99.99 999.9 010010 724050 13743 19370823 69.5 24 66.7 23 9999.9 0 9999.9 0 4.2 24 5.3 24 8.9 999.9 73.4* 65.3* 99.99 999.9 110000 724050 13743 19370824 67.6 24 64.4 24 9999.9 0 9999.9 0 2.1 24 6.1 24 8.9 999.9 70.3* 65.3* 99.99 999.9 110000 724050 13743 19370825 67.7 24 65.8 24 9999.9 0 9999.9 0 1.9 23 4.7 24 7.0 999.9 71.2* 64.4* 99.99 999.9 111000 724050 13743 19370826 75.8 24 72.9 24 9999.9 0 9999.9 0 4.7 24 4.1 24 6.0 999.9 86.4* 71.2* 99.99 999.9 111000 724050 13743 19370827 78.0 24 71.6 24 9999.9 0 9999.9 0 4.9 24 3.7 24 13.0 999.9 87.3* 70.3* 99.99 999.9 110010 724050 13743 19370828 79.4 24 67.9 24 9999.9 0 9999.9 0 8.5 24 3.9 24 7.0 999.9 90.3* 68.4* 0.00I 999.9 000000 724050 13743 19370829 77.3 24 70.6 24 9999.9 0 9999.9 0 5.2 24 4.0 24 8.9 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52.5 24 1026.1 24 1025.4 24 11.2 24 3.3 24 8.9 999.9 84.4* 58.3* 0.00I 999.9 000000 724050 13743 19470725 73.8 24 59.1 24 1027.7 24 1027.0 24 8.0 24 3.1 24 8.9 999.9 87.3* 61.3* 0.00I 999.9 000000 724050 13743 19470726 76.2 24 61.4 24 1024.4 24 1023.7 24 9.7 24 6.0 24 9.9 999.9 87.3* 65.3* 0.00I 999.9 000000 724050 13743 19470727 78.0 24 64.1 24 1018.7 24 1018.0 24 8.6 24 8.8 24 13.0 999.9 90.3* 69.3* 0.00I 999.9 000000 724050 13743 19470728 79.6 24 68.3 24 1012.6 24 1011.9 24 9.4 24 6.6 24 11.1 999.9 85.3* 75.4* 99.99 999.9 110000 724050 13743 19470729 79.1 24 66.4 24 1013.3 24 1012.6 24 11.5 24 6.8 24 13.0 999.9 89.2* 68.4* 0.00I 999.9 000000 724050 13743 19470730 82.1 24 66.4 24 1014.8 24 1014.1 24 9.9 24 6.0 24 9.9 999.9 94.3* 71.2* 0.00I 999.9 000000 724050 13743 19470731 79.7 24 68.5 24 1011.8 24 1011.1 24 7.9 24 6.8 24 9.9 999.9 88.3* 73.4* 99.99 999.9 010010 724050 13743 19470801 74.2 24 63.0 24 1011.9 24 1011.2 24 10.9 24 7.9 24 13.0 999.9 81.3* 69.3* 0.00I 999.9 000000 724050 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0.00I 999.9 100000 724050 13743 19470811 78.3 24 70.4 24 1023.5 24 1022.8 24 7.2 24 4.9 24 8.9 999.9 91.2* 71.2* 0.00I 999.9 000000 724050 13743 19470812 81.3 24 70.8 24 1022.4 24 1021.7 24 5.8 24 3.8 24 8.9 999.9 92.3* 72.3* 0.00I 999.9 000000 724050 13743 19470813 83.6 24 72.4 24 1018.4 24 1017.7 24 6.3 24 6.8 24 9.9 999.9 95.4* 73.4* 0.00I 999.9 100000 724050 13743 19470814 85.0 24 71.4 24 1015.8 24 1015.0 24 5.4 24 6.1 24 9.9 999.9 97.3* 75.4* 0.00I 999.9 100000 724050 13743 19470815 84.9 24 69.0 24 1015.4 24 1014.7 24 8.7 24 6.9 24 13.0 999.9 97.3* 74.3* 99.99 999.9 010010 724050 13743 19470816 84.2 24 69.9 24 1017.6 24 1017.0 24 12.8 24 5.5 24 8.9 999.9 96.3* 74.3* 0.00I 999.9 000000 724050 13743 19470817 80.3 24 73.5 24 1020.6 24 1020.0 24 6.6 24 5.9 24 15.0 999.9 88.3* 75.4* 99.99 999.9 110000 724050 13743 19470818 76.3 24 70.0 24 1023.6 24 1022.9 24 8.7 24 7.0 24 9.9 999.9 80.2* 73.4* 99.99 999.9 010000 724050 13743 19470819 79.0 24 70.7 24 1021.0 24 1020.3 24 9.1 24 5.7 24 8.9 999.9 89.2* 71.2* 0.00I 999.9 000000 724050 13743 19470820 82.6 24 71.5 24 1018.7 24 1018.0 24 5.6 24 5.8 24 14.0 999.9 95.4* 76.3* 99.99 999.9 010010 724050 13743 19470821 76.0 24 70.2 24 1022.2 24 1021.5 24 4.2 24 7.6 24 9.9 999.9 83.3* 72.3* 99.99 999.9 110010 724050 13743 19470822 75.8 24 70.2 24 1020.0 24 1019.3 24 3.0 24 2.9 24 7.0 999.9 82.4* 71.2* 99.99 999.9 110010 724050 13743 19470823 78.2 24 68.7 24 1018.5 24 1017.8 24 7.7 24 4.7 24 9.9 999.9 88.3* 69.3* 0.00I 999.9 000000 724050 13743 19470824 79.8 24 68.9 24 1016.7 24 1016.0 24 5.0 24 4.7 24 7.0 999.9 91.2* 69.3* 0.00I 999.9 000000 724050 13743 19470825 82.9 24 69.9 24 1014.5 24 1013.8 24 6.9 24 5.7 24 8.0 999.9 94.3* 73.4* 0.00I 999.9 100000 724050 13743 19470826 84.2 24 71.1 24 1011.4 24 1010.7 24 7.8 24 4.2 24 8.9 999.9 96.3* 74.3* 0.00I 999.9 000000 724050 13743 19470827 75.1 24 70.9 24 1014.6 24 1013.9 24 3.5 24 8.9 24 14.0 999.9 78.3* 72.3* 99.99 999.9 110010 724050 13743 19470828 71.7 24 65.5 24 1016.9 24 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71.4 24 53.2 24 999.6 24 9999.9 0 6.4 24 4.5 24 9.9 999.9 87.3* 58.3* 0.00I 999.9 000000 724050 13743 19380504 71.2 24 55.0 24 998.9 24 9999.9 0 7.0 24 5.2 24 9.9 999.9 85.3* 60.3* 0.00I 999.9 000000 724050 13743 19380505 72.7 24 60.3 24 997.8 24 9999.9 0 8.6 24 6.6 24 14.0 999.9 87.3* 61.3* 0.00I 999.9 000000 724050 13743 19380506 73.1 24 57.5 24 997.2 24 9999.9 0 10.4 24 10.6 24 20.0 999.9 82.4* 65.3* 0.00I 999.9 000000 724050 13743 19380507 70.9 24 49.8 24 999.0 24 9999.9 0 11.8 24 8.4 24 16.9 999.9 85.3* 54.3* 0.00I 999.9 000000 724050 13743 19380508 67.3 24 54.0 24 998.8 24 9999.9 0 8.8 24 6.2 24 9.9 999.9 77.4* 59.4* 99.99 999.9 010000 724050 13743 19380509 63.1 24 52.9 24 998.4 24 9999.9 0 8.6 24 7.3 24 13.0 999.9 75.4* 57.4* 99.99 999.9 111000 724050 13743 19380510 62.2 24 47.4 24 997.7 24 9999.9 0 9.6 24 12.5 24 22.0 999.9 67.3* 55.4* 0.00I 999.9 000000 724050 13743 19380511 61.2 24 48.4 23 998.2 24 9999.9 0 8.2 24 7.5 24 13.0 999.9 69.3* 53.4* 0.00I 999.9 000000 724050 13743 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724050 13743 19380731 79.7 24 71.2 24 1000.7 24 9999.9 0 8.5 24 7.8 24 15.9 999.9 89.2* 72.3* 99.99 999.9 010000 724050 13743 19380801 82.0 24 72.3 24 999.6 24 9999.9 0 9.9 24 10.5 24 20.0 999.9 90.3* 74.3* 0.00I 999.9 000000 724050 13743 19380802 80.2 24 72.2 24 1000.2 24 9999.9 0 8.8 24 4.8 24 9.9 999.9 89.2* 73.4* 99.99 999.9 010010 724050 13743 19380803 80.7 24 73.4 24 1000.9 24 9999.9 0 8.9 24 5.6 24 9.9 999.9 88.3* 73.4* 0.00I 999.9 000000 724050 13743 19380804 82.7 24 73.9 24 1000.5 24 9999.9 0 8.4 24 4.6 24 9.9 999.9 92.3* 76.3* 0.00I 999.9 100000 724050 13743 19380805 80.8 24 74.5 24 1000.3 24 9999.9 0 5.6 24 4.4 24 12.0 999.9 88.3* 72.3* 99.99 999.9 110010 724050 13743 19380806 79.6 24 73.2 24 1000.2 24 9999.9 0 8.1 24 7.2 24 13.0 999.9 86.4* 74.3* 0.00I 999.9 100000 724050 13743 19380807 81.2 24 73.4 24 1000.2 24 9999.9 0 9.2 24 8.3 24 13.0 999.9 86.4* 75.4* 99.99 999.9 010000 724050 13743 19380808 81.5 24 73.1 24 1000.2 24 9999.9 0 9.9 24 7.0 24 15.9 999.9 89.2* 70.3* 0.00I 999.9 000000 724050 13743 19380809 81.8 24 70.8 24 1000.1 24 9999.9 0 8.7 24 6.9 24 13.0 999.9 93.4* 72.3* 0.00I 999.9 000000 724050 13743 19380810 81.9 24 71.8 24 1000.4 24 9999.9 0 6.3 24 3.8 24 8.9 999.9 92.3* 74.3* 99.99 999.9 010010 724050 13743 19380811 79.7 24 73.1 24 998.4 24 9999.9 0 7.4 24 7.7 24 14.0 999.9 91.2* 70.3* 99.99 999.9 110010 724050 13743 19380812 77.3 23 61.3 23 999.5 23 9999.9 0 12.1 23 10.0 23 15.0 999.9 83.3* 68.4* 0.00I 999.9 000000 724050 13743 19380813 75.6 24 60.7 24 1001.5 24 9999.9 0 10.5 24 5.4 24 9.9 999.9 88.3* 63.3* 0.00I 999.9 000000 724050 13743 19380814 78.3 24 66.0 24 1001.4 24 9999.9 0 8.4 24 4.4 24 13.0 999.9 92.3* 65.3* 0.00I 999.9 000000 724050 13743 19380815 84.1 24 71.5 24 1000.5 24 9999.9 0 7.3 24 3.8 24 8.9 999.9 97.3* 71.2* 0.00I 999.9 000000 724050 13743 19380816 86.2 24 73.8 24 1000.3 24 9999.9 0 9.0 24 4.8 24 9.9 999.9 98.2* 77.4* 0.00I 999.9 000000 724050 13743 19380817 83.4 24 74.2 24 999.2 24 9999.9 0 8.6 24 5.1 24 13.0 999.9 95.4* 76.3* 99.99 999.9 010010 724050 13743 19380818 75.5 24 66.7 24 999.1 24 9999.9 0 9.1 24 8.2 24 15.0 999.9 80.2* 72.3* 99.99 999.9 110010 724050 13743 19380819 74.8 24 61.5 24 1000.7 24 9999.9 0 9.6 24 6.3 24 14.0 999.9 85.3* 64.4* 0.00I 999.9 000000 724050 13743 19380820 76.6 24 64.7 24 1001.1 24 9999.9 0 8.2 24 3.1 24 9.9 999.9 87.3* 65.3* 0.00I 999.9 000000 724050 13743 19380821 78.1 24 64.2 24 1001.3 24 9999.9 0 7.8 24 3.0 24 8.9 999.9 90.3* 66.4* 0.00I 999.9 000000 724050 13743 19380822 78.9 24 67.3 24 1000.6 24 9999.9 0 8.1 24 5.8 24 12.0 999.9 91.2* 68.4* 0.00I 999.9 000000 724050 13743 19380823 79.2 24 66.1 24 1000.5 24 9999.9 0 8.7 24 4.8 24 9.9 999.9 89.2* 67.3* 0.00I 999.9 000000 724050 13743 19380824 78.9 24 62.8 24 998.5 24 9999.9 0 9.3 24 10.0 24 23.9 999.9 86.4* 71.2* 0.00I 999.9 000000 724050 13743 19380825 71.8 24 55.3 24 999.3 24 9999.9 0 10.2 24 5.1 24 15.9 999.9 83.3* 61.3* 0.00I 999.9 000000 724050 13743 19380826 71.7 24 58.0 24 999.9 24 9999.9 0 7.8 24 4.1 24 12.0 999.9 86.4* 60.3* 0.00I 999.9 000000 724050 13743 19380827 77.3 24 63.3 24 999.4 24 9999.9 0 7.8 24 3.7 24 9.9 999.9 91.2* 65.3* 0.00I 999.9 000000 724050 13743 19380828 76.6 24 62.6 24 1000.4 24 9999.9 0 9.8 24 5.7 24 12.0 999.9 87.3* 66.4* 0.00I 999.9 000000 724050 13743 19380829 74.1 24 61.8 24 1000.7 24 9999.9 0 8.5 24 4.5 24 9.9 999.9 86.4* 64.4* 0.00I 999.9 000000 724050 13743 19380830 76.5 24 63.3 24 1000.4 24 9999.9 0 8.4 24 4.0 24 8.9 999.9 91.2* 63.3* 0.00I 999.9 000000 724050 13743 19380831 77.6 24 67.1 24 1000.2 24 9999.9 0 7.5 24 6.9 24 12.0 999.9 89.2* 67.3* 99.99 999.9 010010 724050 13743 19380901 78.6 24 66.4 24 999.2 24 9999.9 0 7.3 24 7.5 24 13.0 999.9 84.4* 72.3* 0.00I 999.9 000000 724050 13743 19380902 70.2 24 59.6 24 1000.6 24 9999.9 0 7.7 24 4.9 24 9.9 999.9 77.4* 63.3* 0.00I 999.9 000000 724050 13743 19380903 67.9 24 62.2 24 1001.1 24 9999.9 0 6.0 24 3.2 24 8.9 999.9 73.4* 63.3* 99.99 999.9 010000 724050 13743 19380904 74.9 24 65.3 24 999.5 24 9999.9 0 6.2 24 8.3 24 19.0 999.9 88.3* 66.4* 0.00I 999.9 100000 724050 13743 19380905 76.3 24 62.2 24 1000.3 24 9999.9 0 9.2 24 5.9 24 11.1 999.9 85.3* 69.3* 0.00I 999.9 000000 724050 13743 19380906 69.3 24 53.9 24 1002.7 24 9999.9 0 9.1 24 5.5 24 9.9 999.9 75.4* 60.3* 0.00I 999.9 000000 724050 13743 19380907 73.0 24 63.0 24 1001.4 24 9999.9 0 9.0 24 6.6 24 19.0 999.9 86.4* 64.4* 99.99 999.9 010000 724050 13743 19380908 70.0 24 61.2 24 1001.1 24 9999.9 0 8.5 24 7.3 24 15.9 999.9 78.3* 64.4* 99.99 999.9 010010 724050 13743 19380909 64.5 24 53.1 24 1002.8 23 9999.9 0 8.5 24 4.2 24 9.9 999.9 74.3* 56.3* 0.00I 999.9 000000 724050 13743 19380910 63.5 24 51.2 24 1003.0 24 9999.9 0 10.4 24 4.7 24 8.9 999.9 73.4* 56.3* 0.00I 999.9 000000 724050 13743 19380911 64.4 24 57.1 24 1002.6 24 9999.9 0 8.7 24 3.7 24 7.0 999.9 68.4* 60.3* 99.99 999.9 011000 724050 13743 19380912 68.2 24 62.5 24 1002.1 24 9999.9 0 6.6 24 3.7 24 9.9 999.9 75.4* 64.4* 99.99 999.9 110000 724050 13743 19380913 74.7 24 67.6 24 999.0 24 9999.9 0 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010010 724050 13743 19390611 81.7 24 68.9 24 1009.5 24 9999.9 0 9.5 24 8.5 24 16.9 999.9 93.4* 72.3* 0.00I 999.9 000000 724050 13743 19390612 80.0 24 63.8 24 1012.6 24 9999.9 0 10.1 24 8.2 24 16.9 999.9 89.2* 69.3* 0.00I 999.9 000000 724050 13743 19390613 75.4 24 65.7 24 1015.8 24 9999.9 0 7.5 24 5.9 24 15.9 999.9 85.3* 66.4* 99.99 999.9 010010 724050 13743 19390614 73.1 24 64.8 24 1013.5 24 9999.9 0 8.7 24 8.8 24 15.9 999.9 79.3* 67.3* 99.99 999.9 010010 724050 13743 19390615 73.3 24 60.3 24 1017.8 24 9999.9 0 8.2 24 6.8 24 14.0 999.9 84.4* 60.3* 0.00I 999.9 000000 724050 13743 19390616 82.5 24 71.0 24 1015.2 24 9999.9 0 10.4 24 8.6 24 12.0 999.9 94.3* 72.3* 0.00I 999.9 000000 724050 13743 19390617 84.8 24 73.6 24 1014.1 24 9999.9 0 9.7 24 9.8 24 14.0 999.9 92.3* 78.3* 99.99 999.9 010000 724050 13743 19390618 69.2 24 65.6 24 1016.7 24 9999.9 0 7.5 24 7.3 24 15.9 999.9 84.4* 63.3* 99.99 999.9 010000 724050 13743 19390619 66.3 24 61.8 24 1018.3 24 9999.9 0 8.7 24 4.2 24 9.9 999.9 73.4* 61.3* 99.99 999.9 010000 724050 13743 19390620 76.5 24 69.8 23 1016.4 24 9999.9 0 7.5 24 4.5 24 15.0 999.9 88.3* 69.3* 99.99 999.9 110000 724050 13743 19390621 79.8 24 62.5 24 1019.9 24 9999.9 0 12.2 24 6.6 24 12.0 999.9 88.3* 69.3* 0.00I 999.9 000000 724050 13743 19390622 79.3 24 65.7 24 1016.4 24 9999.9 0 8.1 24 4.1 24 8.9 999.9 89.2* 71.2* 99.99 999.9 010000 724050 13743 19390623 77.1 24 67.4 24 1011.8 24 9999.9 0 8.7 24 6.7 24 16.9 999.9 86.4* 68.4* 99.99 999.9 010010 724050 13743 19390624 75.1 24 57.4 24 1014.3 24 9999.9 0 11.1 24 6.7 24 12.0 999.9 83.3* 63.3* 0.00I 999.9 000000 724050 13743 19390625 76.5 24 60.6 24 1014.9 24 9999.9 0 9.8 24 7.4 24 16.9 999.9 86.4* 68.4* 0.00I 999.9 000000 724050 13743 19390626 72.8 24 59.3 24 1018.8 24 9999.9 0 9.2 24 3.8 24 9.9 999.9 80.2* 62.4* 0.00I 999.9 000000 724050 13743 19390627 72.1 24 63.1 24 1022.3 23 9999.9 0 9.4 24 6.0 24 9.9 999.9 80.2* 64.4* 0.00I 999.9 000000 724050 13743 19390628 70.1 24 65.2 24 1020.5 24 9999.9 0 6.5 24 4.3 24 9.9 999.9 73.4* 67.3* 99.99 999.9 110000 724050 13743 19390629 73.3 24 70.1 24 1015.7 24 9999.9 0 4.6 24 3.2 24 8.0 999.9 81.3* 68.4* 99.99 999.9 110010 724050 13743 19390630 76.7 24 71.6 24 1009.5 24 9999.9 0 8.1 24 6.0 24 9.9 999.9 87.3* 70.3* 99.99 999.9 110010 724050 13743 19390701 75.7 24 64.5 24 1011.9 24 9999.9 0 11.1 24 5.9 24 13.0 999.9 85.3* 68.4* 0.00I 999.9 000000 724050 13743 19390702 76.5 24 60.9 24 1018.7 24 9999.9 0 9.6 24 2.7 24 7.0 999.9 87.3* 65.3* 0.00I 999.9 000000 724050 13743 19390703 74.6 24 59.5 24 1022.2 24 9999.9 0 10.6 24 2.8 24 7.0 999.9 90.3* 60.3* 0.00I 999.9 100000 724050 13743 19390704 76.3 24 68.8 24 1019.0 24 9999.9 0 8.2 24 6.9 24 14.0 999.9 86.4* 70.3* 99.99 999.9 110000 724050 13743 19390705 74.2 24 67.9 24 1015.3 24 9999.9 0 7.5 24 10.1 24 14.0 999.9 79.3* 70.3* 99.99 999.9 110000 724050 13743 19390706 73.9 24 68.1 24 1016.1 24 9999.9 0 6.4 24 4.2 24 8.9 999.9 84.4* 65.3* 0.00I 999.9 000000 724050 13743 19390707 80.5 24 72.3 24 1017.3 24 9999.9 0 9.3 24 5.5 24 13.0 999.9 90.3* 72.3* 0.00I 999.9 000000 724050 13743 19390708 83.0 24 74.3 24 1014.5 24 9999.9 0 11.4 24 9.1 24 14.0 999.9 92.3* 76.3* 0.00I 999.9 000000 724050 13743 19390709 81.9 24 72.1 24 1012.2 24 9999.9 0 9.2 24 6.2 24 9.9 999.9 90.3* 74.3* 99.99 999.9 010000 724050 13743 19390710 80.9 24 68.4 24 1012.0 24 9999.9 0 8.7 24 5.4 24 12.0 999.9 92.3* 72.3* 99.99 999.9 010000 724050 13743 19390711 73.6 24 57.0 24 1018.0 24 9999.9 0 11.0 24 7.0 24 12.0 999.9 80.2* 65.3* 0.00I 999.9 000000 724050 13743 19390712 76.2 24 58.2 24 1017.7 24 9999.9 0 9.8 24 6.4 24 15.9 999.9 89.2* 65.3* 0.00I 999.9 000000 724050 13743 19390713 79.5 24 65.7 24 1013.5 24 9999.9 0 8.0 24 5.9 24 13.0 999.9 90.3* 70.3* 99.99 999.9 010000 724050 13743 19390714 81.4 24 69.4 24 1006.1 24 9999.9 0 7.8 24 9.5 24 16.9 999.9 90.3* 72.3* 99.99 999.9 010010 724050 13743 19390715 74.5 24 53.8 24 1011.6 24 9999.9 0 11.7 24 12.2 24 16.9 999.9 82.4* 65.3* 0.00I 999.9 000000 724050 13743 19390716 71.1 24 50.7 24 1016.1 24 9999.9 0 12.0 24 10.1 24 15.9 999.9 80.2* 60.3* 0.00I 999.9 000000 724050 13743 19390717 71.7 24 57.4 24 1017.3 24 9999.9 0 8.4 24 2.4 24 8.9 999.9 84.4* 58.3* 0.00I 999.9 000000 724050 13743 19390718 69.8 24 63.2 24 1015.8 24 9999.9 0 6.4 24 3.1 24 8.9 999.9 76.3* 64.4* 99.99 999.9 110000 724050 13743 19390719 71.3 24 64.1 24 1015.8 24 9999.9 0 5.8 24 3.3 24 7.0 999.9 83.3* 64.4* 99.99 999.9 110000 724050 13743 19390720 70.5 24 64.3 24 1018.6 24 9999.9 0 7.3 24 2.6 24 8.9 999.9 75.4* 66.4* 99.99 999.9 110000 724050 13743 19390721 68.4 24 61.5 24 1021.8 24 9999.9 0 6.0 24 3.6 24 13.0 999.9 75.4* 62.4* 99.99 999.9 110000 724050 13743 19390722 66.9 24 62.3 24 1021.1 24 9999.9 0 7.2 24 7.2 24 11.1 999.9 72.3* 62.4* 99.99 999.9 110000 724050 13743 19390723 72.1 24 64.9 24 1018.9 24 9999.9 0 7.8 24 3.6 24 11.1 999.9 83.3* 64.4* 0.00I 999.9 000000 724050 13743 19390724 78.4 24 70.4 24 1016.7 24 9999.9 0 5.8 24 2.5 24 8.9 999.9 91.2* 69.3* 99.99 999.9 110010 724050 13743 19390725 79.3 24 70.7 24 1017.9 24 9999.9 0 9.5 24 4.0 24 8.9 999.9 89.2* 70.3* 99.99 999.9 010010 724050 13743 19390726 81.7 24 71.7 24 1017.0 24 9999.9 0 8.3 24 2.4 24 7.0 999.9 93.4* 71.2* 0.00I 999.9 000000 724050 13743 19390727 78.5 24 71.7 24 1014.8 24 9999.9 0 7.7 24 2.8 24 9.9 999.9 90.3* 72.3* 99.99 999.9 110010 724050 13743 19390728 78.5 24 73.2 23 1012.5 23 9999.9 0 7.8 24 2.4 24 9.9 999.9 90.3* 72.3* 99.99 999.9 110000 724050 13743 19390729 77.7 24 73.1 24 1012.1 24 9999.9 0 9.1 24 2.8 24 7.0 999.9 86.4* 74.3* 99.99 999.9 010000 724050 13743 19390730 78.8 24 71.8 24 1011.0 24 9999.9 0 9.9 24 2.8 24 6.0 999.9 88.3* 72.3* 99.99 999.9 010000 724050 13743 19390731 77.6 24 67.3 24 1013.3 24 9999.9 0 8.7 24 5.1 24 14.0 999.9 87.3* 68.4* 0.00I 999.9 000010 724050 13743 19390801 80.5 24 67.2 24 1016.2 24 9999.9 0 8.7 24 6.6 24 14.0 999.9 90.3* 71.2* 0.00I 999.9 000000 724050 13743 19390802 83.1 24 69.6 24 1015.7 24 9999.9 0 7.1 24 3.9 24 8.0 999.9 92.3* 73.4* 0.00I 999.9 000000 724050 13743 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0.00I 999.9 000010 724050 13743 19390821 80.8 24 69.4 24 1012.9 24 9999.9 0 8.9 24 6.1 24 14.0 999.9 90.3* 72.3* 99.99 999.9 010000 724050 13743 19390822 78.9 24 63.5 24 1015.7 24 9999.9 0 11.8 24 5.9 24 13.0 999.9 86.4* 73.4* 0.00I 999.9 000000 724050 13743 19390823 76.1 24 65.7 24 1018.2 24 9999.9 0 8.4 24 4.1 24 9.9 999.9 88.3* 65.3* 0.00I 999.9 000000 724050 13743 19390824 80.5 24 71.7 24 1017.3 24 9999.9 0 6.8 24 3.2 24 8.9 999.9 91.2* 71.2* 0.00I 999.9 100000 724050 13743 19390825 74.5 24 69.6 24 1018.0 24 9999.9 0 6.8 24 3.3 24 9.9 999.9 80.2* 70.3* 99.99 999.9 110010 724050 13743 19390826 75.4 24 67.5 24 1018.8 24 9999.9 0 6.8 24 4.7 24 12.0 999.9 81.3* 71.2* 0.00I 999.9 000000 724050 13743 19390827 73.3 24 64.7 24 1018.7 24 9999.9 0 7.3 24 5.5 24 14.0 999.9 80.2* 68.4* 0.00I 999.9 000000 724050 13743 19390828 72.3 24 61.2 24 1016.0 24 9999.9 0 8.1 24 7.6 24 15.9 999.9 77.4* 68.4* 99.99 999.9 010000 724050 13743 19390829 69.9 24 59.7 24 1012.9 24 9999.9 0 8.5 24 9.3 24 15.9 999.9 77.4* 62.4* 99.99 999.9 010000 724050 13743 19390830 71.1 24 56.8 24 1011.5 24 9999.9 0 10.2 24 8.0 24 15.0 999.9 82.4* 62.4* 99.99 999.9 010000 724050 13743 19390831 74.9 24 61.1 24 1014.5 24 9999.9 0 11.1 24 6.4 24 14.0 999.9 86.4* 67.3* 0.00I 999.9 000000 724050 13743 19390901 73.7 24 65.8 24 1017.3 24 9999.9 0 8.1 24 3.6 24 8.9 999.9 88.3* 63.3* 0.00I 999.9 000000 724050 13743 19390902 73.9 24 67.0 24 1017.7 24 9999.9 0 6.8 24 4.4 24 9.9 999.9 85.3* 67.3* 0.00I 999.9 100000 724050 13743 19390903 75.6 24 68.1 24 1017.3 24 9999.9 0 7.4 24 3.5 24 9.9 999.9 88.3* 65.3* 0.00I 999.9 100000 724050 13743 19390904 76.6 24 69.0 24 1015.2 24 9999.9 0 7.9 24 4.6 24 19.0 999.9 88.3* 68.4* 99.99 999.9 110010 724050 13743 19390905 72.3 24 61.7 24 1010.8 23 9999.9 0 10.7 24 9.8 24 21.0 999.9 81.3* 65.3* 99.99 999.9 010010 724050 13743 19390906 68.0 24 54.1 24 1018.5 24 9999.9 0 11.3 24 5.4 24 12.0 999.9 77.4* 56.3* 0.00I 999.9 000000 724050 13743 19390907 71.5 24 62.3 24 1015.2 24 9999.9 0 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1008.4 24 5.7 24 10.1 24 15.9 999.9 73.4* 66.4* 99.99 999.9 110010 724050 13743 19460808 74.4 24 63.1 24 1013.2 24 1012.5 24 10.4 24 7.8 24 9.9 999.9 89.2* 65.3* 0.00I 999.9 100000 724050 13743 19460809 76.5 24 65.0 24 1014.6 24 1013.9 24 8.3 24 7.3 24 16.9 999.9 90.3* 68.4* 0.00I 999.9 000000 724050 13743 19460810 80.2 24 70.4 24 1008.3 24 1007.7 24 9.5 24 8.5 24 13.0 999.9 91.2* 73.4* 0.00I 999.9 000010 724050 13743 19460811 75.6 24 61.4 24 1011.6 24 1011.1 24 12.9 24 6.6 24 15.0 999.9 81.3* 68.4* 0.00I 999.9 000000 724050 13743 19460812 71.9 23 59.7 23 1016.6 23 1015.8 23 8.3 23 5.1 23 11.1 999.9 80.2* 64.4* 0.00I 999.9 000000 724050 13743 19460813 71.0 24 61.5 24 1018.4 24 1017.7 24 8.1 24 5.5 24 9.9 999.9 83.3* 62.4* 0.00I 999.9 000000 724050 13743 19460814 71.8 23 58.2 23 1021.7 23 1021.0 23 7.9 23 7.9 23 13.0 999.9 81.3* 61.3* 0.00I 999.9 000000 724050 13743 19460815 71.0 24 62.0 24 1026.3 24 1025.6 24 8.2 24 6.8 24 9.9 999.9 82.4* 60.3* 0.00I 999.9 100000 724050 13743 19460816 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999.9 86.4* 61.3* 0.00I 999.9 000000 724050 13743 19460903 70.3 24 55.6 24 1019.4 24 1018.8 24 10.9 24 8.2 24 14.0 999.9 78.3* 63.3* 99.99 999.9 010000 724050 13743 19460904 64.6 24 49.2 24 1023.7 24 1023.0 24 9.6 24 7.5 24 9.9 999.9 75.4* 55.4* 0.00I 999.9 000000 724050 13743 19460905 64.7 24 54.7 24 1026.3 24 1025.7 24 6.8 24 7.2 24 13.0 999.9 74.3* 56.3* 0.00I 999.9 000000 724050 13743 19460906 67.3 24 59.9 24 1026.3 24 1025.6 24 7.1 24 4.8 24 9.9 999.9 78.3* 59.4* 99.99 999.9 110000 724050 13743 19460907 74.0 24 65.1 24 1021.8 24 1021.2 24 7.6 24 4.4 24 8.9 999.9 85.3* 66.4* 0.00I 999.9 100000 724050 13743 19460908 78.1 24 69.4 24 1019.9 24 1019.3 24 7.6 24 5.7 24 9.9 999.9 91.2* 67.3* 0.00I 999.9 100000 724050 13743 19460909 80.9 24 72.0 24 1019.5 24 1018.8 24 7.8 24 3.4 24 9.9 999.9 95.4* 70.3* 0.00I 999.9 100000 724050 13743 19460910 82.8 24 71.7 24 1016.0 24 1015.2 24 10.9 24 9.3 24 14.0 999.9 91.2* 74.3* 0.00I 999.9 000000 724050 13743 19460911 79.2 24 66.6 24 1012.5 24 1011.8 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0.00I 999.9 100000 724050 13743 19461008 66.7 24 58.3 24 1011.9 24 1011.3 24 4.7 24 5.4 24 16.9 999.9 77.4* 58.3* 99.99 999.9 110000 724050 13743 19461009 57.8 24 54.5 24 1011.4 24 1010.7 24 5.4 24 10.3 24 16.9 999.9 62.4* 54.3* 99.99 999.9 110000 724050 13743 19461010 57.8 24 56.6 24 1010.0 24 1009.4 24 2.5 24 7.7 24 11.1 999.9 62.4* 54.3* 99.99 999.9 110000 724050 13743 19461011 62.4 24 59.6 24 1014.1 24 1013.4 24 2.9 24 4.5 24 7.0 999.9 69.3* 59.4* 99.99 999.9 110000 724050 13743 19461012 68.0 24 63.8 24 1010.1 24 1009.5 24 4.8 24 8.7 24 26.0 999.9 78.3* 59.4* 99.99 999.9 110010 724050 13743 19461013 53.3 24 40.3 24 1021.7 24 1021.1 24 14.9 24 10.7 24 18.1 999.9 61.3* 45.3* 0.00I 999.9 000000 724050 13743 19461014 53.3 24 38.5 24 1026.5 24 1025.8 24 10.9 24 4.9 24 12.0 999.9 63.3* 44.4* 0.00I 999.9 000000 724050 13743 19461015 53.7 24 43.2 24 1026.6 24 1026.0 24 5.7 24 3.8 24 9.9 999.9 68.4* 42.4* 0.00I 999.9 000000 724050 13743 19461016 55.5 24 45.3 24 1024.0 24 1023.4 24 6.0 24 3.1 24 8.9 999.9 70.3* 44.4* 0.00I 999.9 000000 724050 13743 19461017 61.8 24 50.0 24 1015.7 24 1015.0 24 7.9 24 5.3 24 8.9 999.9 77.4* 54.3* 0.00I 999.9 000000 724050 13743 19461018 65.6 24 53.8 24 1006.2 24 1005.5 24 10.1 24 9.7 24 16.9 999.9 73.4* 60.3* 99.99 999.9 010000 724050 13743 19461019 62.2 24 47.2 24 1014.9 24 1014.2 24 12.1 24 9.1 24 16.9 999.9 68.4* 54.3* 0.00I 999.9 000000 724050 13743 19461020 51.8 24 47.2 24 1022.1 24 1021.5 24 4.0 24 4.5 24 9.9 999.9 59.4* 49.3* 99.99 999.9 110000 724050 13743 19461021 52.6 24 47.8 24 1025.5 24 1024.8 24 4.3 24 6.5 24 9.9 999.9 61.3* 48.4* 99.99 999.9 110000 724050 13743 19461022 53.8 24 46.8 24 1025.7 24 1025.1 24 6.1 24 3.3 24 8.9 999.9 69.3* 44.4* 0.00I 999.9 000000 724050 13743 19461023 55.1 24 47.6 24 1022.7 24 1022.2 24 4.4 24 2.5 24 7.0 999.9 72.3* 43.3* 0.00I 999.9 100000 724050 13743 19461024 59.3 24 51.0 24 1019.8 24 1019.2 24 4.3 24 4.1 24 8.9 999.9 77.4* 48.4* 0.00I 999.9 100000 724050 13743 19461025 63.4 24 54.1 24 1014.9 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99.99 999.9 010000 724050 13743 19461112 55.3 24 42.7 24 1019.9 24 1019.1 24 9.5 24 14.6 24 22.0 999.9 65.3* 47.3* 99.99 999.9 010000 724050 13743 19461113 44.8 24 32.5 24 1021.9 24 1021.1 24 10.0 24 9.0 24 16.9 999.9 52.3* 36.3* 0.00I 999.9 000000 724050 13743 19461114 46.8 24 35.2 24 1016.6 24 1015.9 24 8.2 24 10.8 24 20.0 999.9 58.3* 39.4* 0.00I 999.9 000000 724050 13743 19461115 46.1 24 33.1 22 1022.3 24 1021.6 24 10.3 24 7.9 24 14.0 999.9 53.4* 37.4* 0.00I 999.9 000000 724050 13743 19461116 42.0 24 33.5 24 1029.6 24 1028.8 24 6.1 24 6.4 24 8.9 999.9 54.3* 32.4* 0.00I 999.9 100000 724050 13743 19461117 50.0 24 44.5 24 1028.9 24 1028.1 24 5.2 24 7.7 24 9.9 999.9 55.4* 46.4* 99.99 999.9 110000 724050 13743 19461118 45.8 24 32.7 24 1033.1 24 1032.6 24 11.3 24 12.1 24 19.0 999.9 55.4* 37.4* 99.99 999.9 110000 724050 13743 19461119 42.9 24 30.6 24 1032.4 24 1031.6 24 6.4 24 7.1 24 9.9 999.9 57.4* 33.4* 0.00I 999.9 000000 724050 13743 19461120 44.9 24 38.9 24 1026.3 24 1025.4 24 4.0 24 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8.5 24 4.2 23 6.0 999.9 30.9 15.1 0.00G 0.8 101000 724050 13743 19851221 26.4 24 15.4 24 1021.4 24 1019.0 24 10.8 24 10.3 24 15.0 20.0 28.9 21.0 0.06G 0.8 101000 724050 13743 19851222 23.3 23 7.9 23 1021.2 23 1018.8 23 14.3 23 8.8 23 15.0 21.0 32.0* 15.1 0.00G 0.4 000000 724050 13743 19851223 38.3 24 23.2 24 1007.3 24 1005.0 24 12.3 23 8.6 23 14.0 19.0 48.9* 32.0* 0.00G 999.9 010000 724050 13743 19851224 42.6 24 33.0 24 1004.5 24 1002.2 24 8.9 24 6.7 24 14.0 999.9 57.9* 30.9 0.00D 999.9 100000 724050 13743 19851225 33.3 24 19.9 24 1008.1 24 1005.7 24 12.2 24 13.8 24 20.0 27.0 57.9 22.1* 0.10G 999.9 111000 724050 13743 19851226 17.1 23 -3.3 23 1019.6 23 1017.2 23 15.9 23 11.7 23 17.1 24.1 22.1* 10.9 0.01G 999.9 000000 724050 13743 19851227 30.9 24 11.4 24 1016.2 24 1013.8 24 15.7 24 12.5 24 19.0 22.0 46.9 10.9 0.00G 999.9 000000 724050 13743 19851228 36.9 24 20.3 24 1017.7 24 1015.3 24 16.2 24 9.2 24 15.0 20.0 48.0 24.1 0.00G 999.9 000000 724050 13743 19851229 35.5 24 16.8 24 1015.2 24 1012.8 24 14.3 24 5.9 24 13.0 20.0 46.9* 28.0 0.00G 999.9 000000 724050 13743 19851230 35.0 23 9.3 23 1018.1 23 1015.6 23 15.3 23 7.6 23 19.0 25.1 46.9 28.0 0.00G 999.9 000000 724050 13743 19851231 35.5 24 19.9 24 1016.5 24 1014.1 24 11.9 24 10.6 24 18.1 21.0 44.1 28.0 0.00G 999.9 010000 fluids-1.0.22/tests/test_numerics_doubledouble.py0000644000175000017500000002741314302004506021536 0ustar nileshnilesh# -*- coding: utf-8 -*- '''Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2021 Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.''' from __future__ import division from fluids.numerics.doubledouble import * from fluids.numerics import assert_close, assert_close1d from math import * import pytest try: import mpmath as mp has_mpmath = True mp.mp.dps=100 except: has_mpmath = False def mark_mpmath(f): f = pytest.mark.mpmath(f) f = pytest.mark.skipif(not has_mpmath, reason='missing mpmath')(f) return f def test_cube_dd(): ans = cube_dd(2.718281828459045, 1.4456468917292502e-16) assert_close1d(ans, (20.085536923187668, -1.8275625525512858e-16), rtol=1e-14) def test_div_imag_dd(): mp_ans = (-6221711.561975023 - 2.5074521914349666e-10j)/(1247.1686953729213 +2160.157819988352j) ans = div_imag_dd(-6221711.561975023, 0.0, - 2.5074521914349666e-10, 0.0, 1247.1686953729213, 0.0, 2160.157819988352, 0.0) assert_close1d(ans, (-1247.168695372921, -7.085386715133776e-14, 2160.1578199883515, -1.7404258749820416e-14), rtol=1e-13) def test_add_dd(): ans = add_dd(2.718281828459045, 1.4456468917292502e-16, -3.141592653589793, -1.2246467991473532e-16) assert_close1d(ans, (-0.423310825130748, 2.2100009258189695e-17), rtol=1e-13) @mark_mpmath def test_add_dd_mp(): ans = add_dd(2.718281828459045, 1.4456468917292502e-16, -3.141592653589793, -1.2246467991473532e-16) assert abs(mp.e-mp.pi - (mp.mpf(ans[0]) + mp.mpf(ans[1]))) < 1e-30 @mark_mpmath def test_mul_dd_mp(): ans = mul_dd(2.718281828459045, 1.4456468917292502e-16, 3.141592653589793, 1.2246467991473532e-16) assert_close1d(ans, (8.539734222673568, -6.773815290502423e-16), rtol=1e-13) assert abs(mp.e*mp.pi - (mp.mpf(ans[0]) + mp.mpf(ans[1]))) < 1e-30 def test_div_dd(): ans = div_dd(2.718281828459045, 1.4456468917292502e-16, 3.141592653589793, 1.2246467991473532e-16) assert_close1d(ans, (0.8652559794322651, 2.1741459631779752e-17), rtol=1e-13) @mark_mpmath def test_div_dd_mp(): ans = div_dd(2.718281828459045, 1.4456468917292502e-16, 3.141592653589793, 1.2246467991473532e-16) assert abs(mp.e/mp.pi - (mp.mpf(ans[0]) + mp.mpf(ans[1]))) < 1e-30 def test_sqrt_dd(): ans = sqrt_dd(2.718281828459045, 1.4456468917292502e-16) assert_close1d(ans, (1.6487212707001282, -4.731568479435833e-17), rtol=1e-13) @mark_mpmath def test_sqrt_dd_mp(): ans = sqrt_dd(2.718281828459045, 1.4456468917292502e-16) assert abs(mp.sqrt(mp.e) - (mp.mpf(ans[0]) + mp.mpf(ans[1]))) < 1e-30 def test_mul_noerrors_dd(): ans = mul_noerrors_dd(2.718281828, 3.1415926) assert_close1d(ans, (8.539734075559272, 6.111502792870851e-16), rtol=1e-13) assert_close1d(ans, mul_dd(2.718281828, 0.0, 3.1415926, 0.0), rtol=1e-13) def test_square_dd(): ans = square_dd(2.718281828459045, 1.4456468917292502e-16) assert_close1d(ans, (7.38905609893065, -1.7971139497839148e-16), rtol=1e-13) @mark_mpmath def test_square_dd_mp(): ans = square_dd(2.718281828459045, 1.4456468917292502e-16) assert abs(mp.e**2 - (mp.mpf(ans[0]) + mp.mpf(ans[1]))) < 1e-30 def test_mul_imag_dd(): ans = mul_imag_dd(2.718281828459045, 1.4456468917292502e-16, 3.141592653589793, 1.2246467991473532e-16, 2.718281828459045, 1.4456468917292502e-16, 3.141592653589793, 1.2246467991473532e-16) assert_close1d(ans, (-2.4805483021587085, 8.193747384776261e-17, 17.079468445347135, -1.3547630581004847e-15), rtol=1e-14) ans = mul_imag_dd(1.11, 0.00, .027, 0.0, -1.2, 0.0, .2995, 0.0) assert_close1d(ans, (-1.3400865, -1.0926552718171222e-16, 0.300045, 1.1863843241144421e-17), rtol=1e-14) @mark_mpmath def test_mul_imag_dd_mp(): ans = mul_imag_dd(2.718281828459045, 1.4456468917292502e-16, 3.141592653589793, 1.2246467991473532e-16, 2.718281828459045, 1.4456468917292502e-16, 3.141592653589793, 1.2246467991473532e-16) mp_ans = (mp.e + mp.pi*1j)*(mp.e + mp.pi*1j) assert abs(mp_ans.real - (mp.mpf(ans[0]) + mp.mpf(ans[1]) )) < 1e-30 assert abs(mp_ans.imag - (mp.mpf(ans[2]) + mp.mpf(ans[3]) )) < 1e-30 def test_mul_imag_noerrors_dd(): ans = mul_imag_noerrors_dd(1.11, .027, -1.2, .2995) assert_close1d(ans, (-1.3400865, -1.0926552718171222e-16, 0.300045, 1.1863843241144421e-17), rtol=1e-14) def test_sqrt_imag_dd(): ans = sqrt_imag_dd(2.718281828459045, 1.4456468917292502e-16, 3.141592653589793, 1.2246467991473532e-16) assert_close1d(ans, (1.853730863795006, 1.8197550334075816e-17, 0.8473702183385572, 4.942630438677856e-17)) ans = sqrt_imag_dd(2.718281828459045, 1.4456468917292502e-16, 0, 0) assert_close1d(ans, (1.6487212707001282, -4.731568479435833e-17, 0.0, 0.0)) @mark_mpmath def test_sqrt_imag_dd(): ans = sqrt_imag_dd(2.718281828459045, 1.4456468917292502e-16, 3.141592653589793, 1.2246467991473532e-16) mp_ans = mp.sqrt(mp.e + mp.pi*1j) assert abs(mp_ans.real - (mp.mpf(ans[0]) + mp.mpf(ans[1]) )) < 1e-30 assert abs(mp_ans.imag - (mp.mpf(ans[2]) + mp.mpf(ans[3]) )) < 1e-30 ans = sqrt_imag_dd(2.718281828459045, 1.4456468917292502e-16, 0, 0) mp_ans = mp.sqrt(mp.e) assert abs(mp_ans.real - (mp.mpf(ans[0]) + mp.mpf(ans[1]) )) < 1e-30 assert abs(mp_ans.imag - (mp.mpf(ans[2]) + mp.mpf(ans[3]) )) < 1e-30 def test_add_imag_dd(): ans = add_imag_dd(2.718281828459045, 1.4456468917292502e-16, 3.141592653589793, 1.2246467991473532e-16, 3.141592653589793, 1.2246467991473532e-16, 2.718281828459045, 1.4456468917292502e-16) assert_close1d(ans, (5.859874482048839, -1.770598407624023e-16, 5.859874482048839, -1.770598407624023e-16)) @mark_mpmath def test_add_imag_dd_mp(): ans = add_imag_dd(2.718281828459045, 1.4456468917292502e-16, 3.141592653589793, 1.2246467991473532e-16, 3.141592653589793, 1.2246467991473532e-16, 2.718281828459045, 1.4456468917292502e-16) mp_ans = (mp.e + mp.pi*1j) + (mp.pi + mp.e*1j) assert abs(mp_ans.real - (mp.mpf(ans[0]) + mp.mpf(ans[1]) )) < 1e-30 assert abs(mp_ans.imag - (mp.mpf(ans[2]) + mp.mpf(ans[3]) )) < 1e-30 def test_div_imag_dd(): ans = div_imag_dd(2.718281828459045, 1.4456468917292502e-16, 3.141592653589793, 1.2246467991473532e-16, 3.141592653589793, 1.2246467991473532e-16, 2.718281828459045, 1.4456468917292502e-16) assert_close1d(ans, (0.9896172675351794, -2.57625629153772e-17, 0.14372774191576643, 1.174077497180584e-17), rtol=1e-13) @mark_mpmath def test_div_imag_dd_mp(): ans = div_imag_dd(2.718281828459045, 1.4456468917292502e-16, 3.141592653589793, 1.2246467991473532e-16, 3.141592653589793, 1.2246467991473532e-16, 2.718281828459045, 1.4456468917292502e-16) mp_ans = (mp.e + mp.pi*1j)/(mp.pi + mp.e*1j) assert abs(mp_ans.real - (mp.mpf(ans[0]) + mp.mpf(ans[1]) )) < 1e-30 assert abs(mp_ans.imag - (mp.mpf(ans[2]) + mp.mpf(ans[3]) )) < 1e-30 def test_imag_inv_dd(): ans = imag_inv_dd(2.718281828459045, 1.4456468917292502e-16, 3.141592653589793, 1.2246467991473532e-16) assert_close1d(ans, (0.15750247989731844, -3.9415361951446925e-18, -0.18202992367722576, -5.408691854671257e-18), rtol=1e-13) @mark_mpmath def test_imag_inv_dd_mp(): ans = imag_inv_dd(2.718281828459045, 1.4456468917292502e-16, 3.141592653589793, 1.2246467991473532e-16) mp_ans = 1/(mp.e + mp.pi*1j) assert abs(mp_ans.real - (mp.mpf(ans[0]) + mp.mpf(ans[1]) )) < 1e-30 assert abs(mp_ans.imag - (mp.mpf(ans[2]) + mp.mpf(ans[3]) )) < 1e-30 def test_cbrt_imag_dd(): ans = cbrt_imag_dd(2.718281828459045, 1.4456468917292502e-16, 3.141592653589793, 1.2246467991473532e-16) assert_close1d(ans, (1.5423370526780396, 8.764992916723807e-17, 0.45326965450036827, 2.105896617565284e-17), rtol=1e-14) @mark_mpmath def test_cbrt_imag_dd_mp(): ans = cbrt_imag_dd(2.718281828459045, 1.4456468917292502e-16, 3.141592653589793, 1.2246467991473532e-16) mp_ans = mp.cbrt(mp.e + mp.pi*1j) assert abs(mp_ans.real - (mp.mpf(ans[0]) + mp.mpf(ans[1]) )) < 1e-30 assert abs(mp_ans.imag - (mp.mpf(ans[2]) + mp.mpf(ans[3]) )) < 1e-30 def test_cbrt_dd(): ans = cbrt_dd(3, 0.0) assert_close1d(ans, (1.4422495703074083, 8.054912676113696e-17), rtol=1e-13) ans = cbrt_dd(1.4422495703074083, 8.054912676113696e-17) assert_close1d(ans, (1.129830963909753, 1.601807086137469e-17), rtol=1e-13) @mark_mpmath def test_cbrt_dd_mp(): ans = cbrt_dd(3, 0.0) assert abs(mp.mpf(3)**(mp.mpf(1)/mp.mpf(3)) - (mp.mpf(ans[0]) + mp.mpf(ans[1]))) < 1e-30 ans = cbrt_dd(1.4422495703074083, 8.054912676113696e-17) assert abs((mp.mpf(3)**(mp.mpf(1)/mp.mpf(3)))**(mp.mpf(1)/mp.mpf(3)) - (mp.mpf(ans[0]) + mp.mpf(ans[1]))) < 1e-30 def test_eq_dd(): assert eq_dd(1, 0, 1, 0) assert not eq_dd(1, 0, 1, .1) assert not eq_dd(1, 0, 0, 0) assert not eq_dd(1, 1, 1, 0) assert not eq_dd(0, 0, 1, 0) def test_neq_dd(): assert not neq_dd(1, 0, 1, 0) assert neq_dd(1, 0, 1, .1) assert neq_dd(1, 0, 0, 0) assert neq_dd(1, 1, 1, 0) assert neq_dd(0, 0, 1, 0) def test_lt_dd(): assert not lt_dd(1, 0, 1, 0) assert not lt_dd(1, 1e-10, 1, 1e-10) assert lt_dd(.9, 0, 1, 0) assert not lt_dd(1, 1e-10, 1, 0) assert lt_dd(1, 0, 1, 1e-10) def test_gt_dd(): assert not gt_dd(1, 0, 1, 0) assert not gt_dd(1, 1e-10, 1, 1e-10) assert not gt_dd(.9, 0, 1, 0) assert gt_dd(1, 1e-10, 1, 0) assert not gt_dd(1, 0, 1, 1e-10) def test_le_dd(): assert le_dd(1, 0, 1, 0) assert le_dd(1, 1e-10, 1, 1e-10) assert le_dd(.9, 0, 1, 0) assert not le_dd(1, 1e-10, 1, 0) assert le_dd(1, 0, 1, 1e-10) def test_ge_dd(): assert ge_dd(1, 0, 1, 0) assert ge_dd(1, 1e-10, 1, 1e-10) assert not ge_dd(.9, 0, 1, 0) assert ge_dd(1, 1e-10, 1, 0) assert not ge_dd(1, 0, 1, 1e-10) @mark_mpmath def test_intpow_dd(): ar, ae = 0.6931471805599453, 2.3190468138462996e-17 for n in range(-7, 4): outr, oute = intpow_dd(ar, ae, n=n) mp_ans = (mp.mpf(ar) + mp.mpf(ae))**n ans_as_mp = mp.mpf(outr) + mp.mpf(oute) err = abs(1.0 - ans_as_mp/mp_ans) assert err < 1e-30 def test_exp_dd(): ar, ae = 0.6931471805599453, 2.3190468138462996e-17 outr, oute = exp_dd(ar, ae) assert outr == 2 assert_close(oute, 0, atol=1e-30) def test_log_dd(): a, b = log_dd(0.6931471805599453, 2.3190468138462996e-17) assert_close(a, -0.36651292058166435, rtol=1e-14) assert_close(b, 2.0606571710351483e-17, rtol=1e-14) def test_pow_dd(): for n in range(-3, 4): assert pow_dd(0.6931471805599453, 2.3190468138462996e-17, n, 0) == intpow_dd(0.6931471805599453, 2.3190468138462996e-17, n) a, b = pow_dd(0.6931471805599453, 2.3190468138462996e-17, 0.6931471805599453, 2.3190468138462996e-17) assert_close(a, 0.7756550370345752, rtol=1e-14) assert_close(b, 3.1024007879879916e-17, rtol=1e-14)fluids-1.0.22/tests/test_pump.py0000644000175000017500000001752014302004506016143 0ustar nileshnilesh# -*- coding: utf-8 -*- '''Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2016, 2017 Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.''' from __future__ import division from fluids.pump import * from fluids.numerics import assert_close, assert_close1d from fluids.constants import hp import pytest def test_Corripio_pump_efficiency(): eta = Corripio_pump_efficiency(461./15850.323) assert_close(eta, 0.7058888670951621) def test_Corripio_motor_efficiency(): eta = Corripio_motor_efficiency(137*745.7) assert_close(eta, 0.9128920875679222) def test_VFD_efficiency(): eta = VFD_efficiency(10*hp) assert_close(eta, 0.96) eta = VFD_efficiency(100*hp, load=0.5) assert_close(eta, 0.96) # Lower bound, 3 hp; upper bound, 400 hp; 0.016 load bound etas = VFD_efficiency(1*hp), VFD_efficiency(500*hp), VFD_efficiency(8*hp, load=0.01) assert_close1d(etas, [0.94, 0.97, 0.386]) hp_sum = sum(nema_sizes_hp) assert_close(hp_sum, 3356.333333333333) W_sum = sum(nema_sizes) assert_close(W_sum, 2502817.33565396) def test_motor_round_size(): sizes = [motor_round_size(i) for i in [.1*hp, .25*hp, 1E5, 3E5]] sizes_calc = [186.42496789556753, 186.42496789556753, 111854.98073734052, 335564.94221202156] assert_close1d(sizes, sizes_calc) with pytest.raises(Exception): motor_round_size(1E100) def test_CSA_motor_efficiency(): nema_high_P_calcs = [CSA_motor_efficiency(k*hp, high_efficiency=True, closed=i, poles=j) for i in [True, False] for j in [2, 4, 6] for k in nema_high_P] nema_high_Ps = [0.77, 0.84, 0.855, 0.865, 0.885, 0.885, 0.885, 0.895, 0.902, 0.91, 0.91, 0.917, 0.917, 0.924, 0.93, 0.936, 0.936, 0.941, 0.95, 0.95, 0.954, 0.954, 0.855, 0.865, 0.865, 0.895, 0.895, 0.895, 0.895, 0.917, 0.917, 0.924, 0.93, 0.936, 0.936, 0.941, 0.945, 0.95, 0.954, 0.954, 0.954, 0.958, 0.962, 0.962, 0.825, 0.875, 0.885, 0.895, 0.895, 0.895, 0.895, 0.91, 0.91, 0.917, 0.917, 0.93, 0.93, 0.941, 0.941, 0.945, 0.945, 0.95, 0.95, 0.958, 0.958, 0.958, 0.77, 0.84, 0.855, 0.855, 0.865, 0.865, 0.865, 0.885, 0.895, 0.902, 0.91, 0.917, 0.917, 0.924, 0.93, 0.936, 0.936, 0.936, 0.941, 0.941, 0.95, 0.95, 0.855, 0.865, 0.865, 0.895, 0.895, 0.895, 0.895, 0.91, 0.917, 0.93, 0.93, 0.936, 0.941, 0.941, 0.945, 0.95, 0.95, 0.954, 0.954, 0.958, 0.958, 0.958, 0.825, 0.865, 0.875, 0.885, 0.895, 0.895, 0.895, 0.902, 0.917, 0.917, 0.924, 0.93, 0.936, 0.941, 0.941, 0.945, 0.945, 0.95, 0.95, 0.954, 0.954, 0.954] assert_close1d(nema_high_P_calcs, nema_high_Ps) nema_min_P_calcs = [CSA_motor_efficiency(k*hp, high_efficiency=False, closed=i, poles=j) for i in [True, False] for j in [2, 4, 6, 8] for k in nema_min_P] nema_min_Ps = [0.755, 0.825, 0.84, 0.855, 0.855, 0.875, 0.875, 0.885, 0.895, 0.902, 0.902, 0.91, 0.91, 0.917, 0.924, 0.93, 0.93, 0.936, 0.945, 0.945, 0.95, 0.95, 0.954, 0.954, 0.954, 0.954, 0.954, 0.954, 0.825, 0.84, 0.84, 0.875, 0.875, 0.875, 0.875, 0.895, 0.895, 0.91, 0.91, 0.924, 0.924, 0.93, 0.93, 0.936, 0.941, 0.945, 0.945, 0.95, 0.95, 0.95, 0.95, 0.954, 0.954, 0.954, 0.954, 0.958, 0.8, 0.855, 0.865, 0.875, 0.875, 0.875, 0.875, 0.895, 0.895, 0.902, 0.902, 0.917, 0.917, 0.93, 0.93, 0.936, 0.936, 0.941, 0.941, 0.95, 0.95, 0.95, 0.95, 0.95, 0.95, 0.95, 0.95, 0.95, 0.74, 0.77, 0.825, 0.84, 0.84, 0.855, 0.855, 0.855, 0.885, 0.885, 0.895, 0.895, 0.91, 0.91, 0.917, 0.917, 0.93, 0.93, 0.936, 0.936, 0.941, 0.941, 0.945, 0.945, 0.945, 0.945, 0.945, 0.945, 0.755, 0.825, 0.84, 0.84, 0.84, 0.855, 0.855, 0.875, 0.885, 0.895, 0.902, 0.91, 0.91, 0.917, 0.924, 0.93, 0.93, 0.93, 0.936, 0.936, 0.945, 0.945, 0.945, 0.95, 0.95, 0.954, 0.958, 0.958, 0.825, 0.84, 0.84, 0.865, 0.865, 0.875, 0.875, 0.885, 0.895, 0.91, 0.91, 0.917, 0.924, 0.93, 0.93, 0.936, 0.941, 0.941, 0.945, 0.95, 0.95, 0.95, 0.954, 0.954, 0.954, 0.954, 0.958, 0.958, 0.8, 0.84, 0.855, 0.865, 0.865, 0.875, 0.875, 0.885, 0.902, 0.902, 0.91, 0.917, 0.924, 0.93, 0.93, 0.936, 0.936, 0.941, 0.941, 0.945, 0.945, 0.945, 0.954, 0.954, 0.954, 0.954, 0.954, 0.954, 0.74, 0.755, 0.855, 0.865, 0.865, 0.875, 0.875, 0.885, 0.895, 0.895, 0.902, 0.902, 0.91, 0.91, 0.917, 0.924, 0.936, 0.936, 0.936, 0.936, 0.936, 0.936, 0.945, 0.945, 0.945, 0.945, 0.945, 0.945] assert_close1d(nema_min_P_calcs, nema_min_Ps) def test_motor_efficiency_underloaded(): full_efficiencies = [motor_efficiency_underloaded(P*hp, .99) for P in (0.5, 2.5, 7, 12, 42, 90)] assert_close1d(full_efficiencies, [1, 1, 1, 1, 1, 1]) low_efficiencies = [motor_efficiency_underloaded(P*hp, .25) for P in (0.5, 2.5, 7, 12, 42, 90)] low_ans = [0.6761088414400706, 0.7581996772085579, 0.8679397648030529, 0.9163243775499996, 0.9522559064662419, 0.9798906308690559] assert_close1d(low_efficiencies, low_ans) def test_specific_speed(): nS = specific_speed(0.0402, 100.0, 3550.0) assert_close(nS, 22.50823182748925) def test_specific_diameter(): Ds = specific_diameter(Q=0.1, H=10., D=0.1) assert_close(Ds, 0.5623413251903491) def test_speed_synchronous(): s1, s2 = speed_synchronous(50.0, poles=12), speed_synchronous(60.0, phase=1) assert_close1d([s1, s2], [1500, 3600]) def test_current_ideal(): I = current_ideal(V=120.0, P=1E4, PF=1.0, phase=1) assert_close(I, 83.33333333333333) I = current_ideal(V=208, P=1E4, PF=1, phase=3) assert_close(I, 27.757224480270473) I = current_ideal(V=208, P=1E4, PF=0.95, phase=3) assert_close(I,29.218131031863656) with pytest.raises(Exception): current_ideal(V=208, P=1E4, PF=0.95, phase=5) def test_power_sources(): assert sum(map(ord, electrical_plug_types)) == 1001 assert len(electrical_plug_types) == 14 assert sum(voltages_1_phase_residential) == 1262 assert len(voltages_1_phase_residential) == 8 assert sum(voltages_3_phase) == 3800 assert len(voltages_3_phase) == 13 assert residential_power_frequencies == [50, 60] assert sum([i.voltage for i in residential_power.values()]) == 42071 assert sum([i.freq for i in residential_power.values()]) == 10530 assert len(residential_power) == 203 ca = residential_power['ca'] assert (ca.voltage, ca.freq, ca.plugs) == (120, 60, ('A', 'B')) assert sum([sum(i.voltage) for i in industrial_power.values()]) == 82144 assert sum([i.freq for i in industrial_power.values()]) == 10210 assert len(industrial_power) == 197 ca = industrial_power['ca'] assert (ca.voltage, ca.freq) == ((120, 208, 240, 480, 347, 600), 60) def test_CountryPower(): a = CountryPower(plugs=('C', 'F', 'M', 'N'), voltage=230.0, freq=50.0, country="South Africa") assert type(a) is CountryPower assert type(a.voltage) is float assert type(a.freq) is float CountryPower(plugs=('G',), voltage=240, freq=50, country="Seychelles") CountryPower(plugs=('C', 'F'), voltage=230, freq=50, country="Armenia") CountryPower(plugs=('D', 'G', 'J', 'K', 'L'), voltage=230, freq=50, country="Maldives") fluids-1.0.22/tests/test_filters.py0000644000175000017500000000534514302004506016634 0ustar nileshnilesh# -*- coding: utf-8 -*- '''Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2016, 2017 Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.''' from __future__ import division from fluids.filters import * from fluids.numerics import assert_close, assert_close1d import pytest def test_filters(): K1 = round_edge_screen(0.5, 100.0) K2 = round_edge_screen(0.5, 100, 45.0) K3 = round_edge_screen(0.5, 100, 85) assert_close1d([K1, K2, K3], [2.0999999999999996, 1.05, 0.18899999999999997]) Ks = [round_edge_open_mesh(0.88, i) for i in ['round bar screen', 'diamond pattern wire', 'knotted net', 'knotless net']] K_values = [0.11687999999999998, 0.09912, 0.15455999999999998, 0.11664] assert_close1d(Ks, K_values) K1 = round_edge_open_mesh(0.96, angle=33.) K2 = round_edge_open_mesh(0.96, angle=50) assert_close1d([K1, K2], [0.02031327712601458, 0.012996000000000014]) with pytest.raises(Exception): round_edge_open_mesh(0.96, subtype='not_filter', angle=33.) K = square_edge_screen(0.99) assert_close(K, 0.008000000000000009) K1 = square_edge_grill(.45) K2 = square_edge_grill(.45, l=.15, Dh=.002, fd=.0185) assert_close1d([K1, K2], [5.296296296296296, 12.148148148148147]) K1 = round_edge_grill(.4) K2 = round_edge_grill(.4, l=.15, Dh=.002, fd=.0185) assert_close1d([K1, K2], [1.0, 2.3874999999999997]) @pytest.mark.scipy def test_grills_rounded(): from scipy.interpolate import splrep from fluids.filters import grills_rounded_tck, grills_rounded_alphas, grills_rounded_Ks tck_recalc = splrep(grills_rounded_alphas, grills_rounded_Ks, s=0, k=2) [assert_close1d(i, j) for i, j in zip(grills_rounded_tck[:-1], tck_recalc[:-1])] fluids-1.0.22/tests/test_nrlmsise00_full.py0000644000175000017500000001021514302004506020172 0ustar nileshnilesh# -*- coding: utf-8 -*- '''Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2016, Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.''' from fluids.numerics import assert_close1d, assert_close from fluids.atmosphere import ATMOSPHERE_NRLMSISE00 import pytest import os def helper_test_match(f, atms): indexes = [1, 2, 3, 7, 8, 10] keys = ['O_density', 'N2_density', 'O2_density', 'He_density', 'Ar_density', 'N_density'] for i, k in zip(indexes, keys): calcs = [getattr(a, k) for a in atms] assert_close1d(calcs, f[:, i]*1E6, rtol=1E-3) calcs = [a.rho for a in atms] assert_close1d(calcs, f[:, 4]*1E3, rtol=1E-3) calcs = [a.T for a in atms] assert_close1d(calcs, f[:, 5], rtol=1E-3) calcs = [a.T_exospheric for a in atms] assert_close1d(calcs, f[:, 6], rtol=1E-3) @pytest.mark.slow def test_ATMOSPHERE_NRLMSISE00(): import numpy as np name = os.path.join(os.path.dirname(__file__), 'nrlmsise00', 'known_data_height.txt') f = np.loadtxt(name, delimiter=' ') heights = f[:,0] atms = [ATMOSPHERE_NRLMSISE00(float(h)*1000, latitude=45, longitude=45, day=1, seconds=0, geomagnetic_disturbance_indices=[4]*7) for h in heights] helper_test_match(f, atms) name = os.path.join(os.path.dirname(__file__), 'nrlmsise00', 'known_data_high_height.txt') f = np.loadtxt(name, delimiter=' ') heights = f[:,0] atms = [ATMOSPHERE_NRLMSISE00(float(h)*1000, latitude=45, longitude=45, day=1, seconds=0, geomagnetic_disturbance_indices=[4]*7) for h in heights] helper_test_match(f, atms) name = os.path.join(os.path.dirname(__file__),'nrlmsise00', 'known_data_day_of_year.txt') f = np.loadtxt(name, delimiter=' ') atms = [ATMOSPHERE_NRLMSISE00(100000., latitude=45, longitude=45, day=d, seconds=0, geomagnetic_disturbance_indices=[4]*7) for d in range(1, 367)] helper_test_match(f, atms) name = os.path.join(os.path.dirname(__file__), 'nrlmsise00', 'known_data_hours.txt') f = np.loadtxt(name, delimiter=' ') atms = [ATMOSPHERE_NRLMSISE00(100000., latitude=45, longitude=45, day=1, seconds=3600.*h, geomagnetic_disturbance_indices=[4]*7) for h in range(1, 25)] helper_test_match(f, atms) name = os.path.join(os.path.dirname(__file__), 'nrlmsise00', 'known_data_latitudes.txt') f = np.loadtxt(name, delimiter=' ') atms = [ATMOSPHERE_NRLMSISE00(100000., latitude=l, longitude=45, day=1, seconds=0, geomagnetic_disturbance_indices=[4]*7) for l in range(-90, 91)] helper_test_match(f, atms) name = os.path.join(os.path.dirname(__file__), 'nrlmsise00', 'known_data_longitudes.txt') f = np.loadtxt(name, delimiter=' ') atms = [ATMOSPHERE_NRLMSISE00(100000., latitude=45, longitude=l, day=1, seconds=0, geomagnetic_disturbance_indices=[4]*7) for l in range(0, 361)] helper_test_match(f, atms) # Custom test, particle total density and composition atm = ATMOSPHERE_NRLMSISE00(Z=1E3, latitude=45.0, longitude=45.0, day=150.0) assert_close(atm.particle_density, 2.2929008167737723e+25) assert_close1d(atm.zs, [0.7811046347676225, 0.2095469403691101, 0.009343183088772914, 5.241774494627779e-06, 0.0, 0.0, 0.0]) fluids-1.0.22/tests/test_numerics_special.py0000644000175000017500000001433514302004506020510 0ustar nileshnilesh# -*- coding: utf-8 -*- '''Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2021 Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.''' from __future__ import division from fluids.numerics.special import * from fluids.numerics import assert_close from math import * def test_hypot(): values = [(.5, -1), (-.5, 1), (100, -100), (-100, 100)] rtol = 1e-14 for (x, y) in values: assert_close(py_hypot(x, y), hypot(x, y), rtol=rtol) def test_py_cacos(): # Missed a asinh in this case assert_close(py_cacos(1.0000000000000033), 8.16170211889097e-08j, rtol=1e-11) def test_py_catanh(): from cmath import atanh as catanh tests = [(-9.8813129168249309e-324, 0.0), (-9.8813129168249309e-324, -0.0), (-1e-305, 0.0), (-1e-305, -0.0), (-1e-150, 0.0), (-1e-150, -0.0), (-9.9999999999999998e-17, 0.0), (-9.9999999999999998e-17, -0.0), (-0.001, 0.0), (-0.001, -0.0), (-0.57899999999999996, 0.0), (-0.57899999999999996, -0.0), (-0.99999999999999989, 0.0), (-0.99999999999999989, -0.0), (-1.0000000000000002, 0.0), (-1.0000000000000002, -0.0), (-1.0009999999999999, 0.0), (-1.0009999999999999, -0.0), (-2.0, 0.0), (-2.0, -0.0), (-23.0, 0.0), (-23.0, -0.0), (-10000000000000000.0, 0.0), (-10000000000000000.0, -0.0), (-9.9999999999999998e+149, 0.0), (-9.9999999999999998e+149, -0.0), (-1.0000000000000001e+299, 0.0), (-1.0000000000000001e+299, -0.0), (9.8813129168249309e-324, 0.0), (9.8813129168249309e-324, -0.0), (1e-305, 0.0), (1e-305, -0.0), (1e-150, 0.0), (1e-150, -0.0), (9.9999999999999998e-17, 0.0), (9.9999999999999998e-17, -0.0), (0.001, 0.0), (0.001, -0.0), (0.57899999999999996, 0.0), (0.57899999999999996, -0.0), (0.99999999999999989, 0.0), (0.99999999999999989, -0.0), (1.0000000000000002, 0.0), (1.0000000000000002, -0.0), (1.0009999999999999, 0.0), (1.0009999999999999, -0.0), (2.0, 0.0), (2.0, -0.0), (23.0, 0.0), (23.0, -0.0), (10000000000000000.0, 0.0), (10000000000000000.0, -0.0), (9.9999999999999998e+149, 0.0), (9.9999999999999998e+149, -0.0), (1.0000000000000001e+299, 0.0), (1.0000000000000001e+299, -0.0), (-0.54460925980633501, -0.54038050126721027), (-1.6934614269829051, -0.48807386108113621), (-1.3467293985501207, -0.47868354895395876), (-5.6142232418984888, -544551613.39307702), (-0.011841460381263651, -3.259978899823385), (-0.0073345736950029532, 0.35821949670922248), (-13.866782244320014, 0.9541129545860273), (-708.59964982780775, 21.984802159266675), (-30.916832076030602, 1.3691897138829843), (-0.57461806339861754, 0.29534797443913063), (0.40089246737415685, -1.632285984300659), (2119.6167688262176, -1.5383653437377242e+17), (756.86017850941641, -6.6064087133223817), (4.0490617718041602, -2.5784456791040652e-12), (10.589254957173523, -0.13956391149624509), (1.0171187553160499, 0.70766113465354019), (0.031645502527750849, 0.067319983726544394), (0.13670177624994517, 0.43240089361857947), (0.64173899243596688, 2.9008577686695256), (0.19313813528025942, 38.799619150741869), (5.3242646831347954e+307, 1.3740396080084153e+308), (1.158701641241358e+308, -6.5579268873375853e+307), (-1.3435325735762247e+308, 9.8947369259601547e+307), (-1.4359857522598942e+308, -9.4701204702391004e+307), (0.0, 5.6614181068098497e+307), (-0.0, 6.9813212721450139e+307), (0.0, -7.4970613060311453e+307), (-0.0, -1.5280601880314068e+308), (8.2219472336000745e+307, 0.0), (1.4811519617280899e+308, -0.0), (-1.2282016263598785e+308, 0.0), (-1.0616427760154426e+308, -0.0), (1.2971536510180682e+308, 5.2847948452333293), (1.1849860977411851e+308, -7.9781906447459949), (-1.4029969422586635e+308, 0.93891986543663375), (-4.7508098912248211e+307, -8.2702421247039908), (8.2680742115769998, 8.1153898410918065e+307), (1.2575325146218885, -1.4746679147661649e+308), (-2.4618803682310899, 1.3781522717005568e+308), (-4.0952386694788112, -1.231083376353703e+308), (3.8017563659811628e-314, 2.6635484239074319e-312), (1.7391110733611878e-321, -4.3547800672541419e-313), (-5.9656816081325078e-317, 9.9692253555416263e-313), (-6.5606671178400239e-313, -2.1680936406357335e-309), (0.0, 2.5230944401820779e-319), (-0.0, 5.6066569490064658e-320), (0.0, -2.4222487249468377e-317), (-0.0, -3.0861101089206037e-316), (3.1219222884393986e-310, 0.0), (9.8926337564976196e-309, -0.0), (-1.5462535092918154e-312, 0.0), (-9.8813129168249309e-324, -0.0), (1.0, 1e-153), (1.0, 9.9999999999999997e-155), (-1.0, 1e-161), (1.0, -1e-165), (-1.0, -9.8813129168249309e-324)] rtol = 1e-13 atol = 0.0 for (real, imag) in tests: res_good = catanh(real + imag*1j) res_implemented = py_catanh(real + imag*1j) assert_close(res_good.real, res_implemented.real, rtol=rtol, atol=atol) assert_close(res_good.imag, res_implemented.imag, rtol=rtol, atol=atol) # Windows 2.7 fails on Appveyor # assert res_good.real == res_implemented.real # assert res_good.imag == res_implemented.imag fluids-1.0.22/tests/test_numerics.py0000644000175000017500000015130314302004506017005 0ustar nileshnilesh# -*- coding: utf-8 -*- '''Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2018 Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.''' from __future__ import division from fluids import * from fluids.numerics import numpy as np import pytest import fluids.numerics from fluids.numerics import * from scipy.integrate import quad from math import * from random import random assert_allclose = np.testing.assert_allclose def test_py_solve_bad_cases(): j = [[-3.8789618086360855, -3.8439678951838587, -1.1398039850146757e-07], [1.878915113936518, 1.8439217680605073, 1.139794740950828e-07], [-1.0, -1.0, 0.0]] nv = [-1.4181331207951953e-07, 1.418121622354107e-07, 2.220446049250313e-16] import fluids.numerics calc = fluids.numerics.py_solve(j, nv) import numpy as np expect = np.linalg.solve(j, nv) fluids.numerics.assert_close1d(calc, expect, rtol=1e-4) def test_error_functions(): data = [1.0, 2.0, 3.0] calc = [.99, 2.01, 3.2] assert_close(max_abs_error(data, calc), 0.2, rtol=1e-13) assert_close(max_abs_rel_error(data, calc), 0.06666666666666672, rtol=1e-13) assert_close(max_squared_error(data, calc), 0.04000000000000007, rtol=1e-13) assert_close(max_squared_rel_error(data, calc), 0.004444444444444451, rtol=1e-13) assert_close(mean_abs_error(data, calc), 0.07333333333333332, rtol=1e-13) assert_close(mean_abs_rel_error(data, calc), 0.027222222222222207, rtol=1e-13) assert_close(mean_squared_error(data, calc), 0.013400000000000023, rtol=1e-13) assert_close(mean_squared_rel_error(data, calc), 0.0015231481481481502, rtol=1e-13) def test_sincos(): N = 10**1 for v in linspace(0.0, 2.0*pi, N): a, b = sincos(v) assert_close(a, sin(v), rtol=1e-14) assert_close(b, cos(v), rtol=1e-14) for v in linspace(-100.0, 100.0, N): a, b = sincos(v) assert_close(a, sin(v), rtol=1e-14) assert_close(b, cos(v), rtol=1e-14) def test_bisect_log_exp_terminations(): from math import exp, log from fluids.numerics import bisect def to_solve(x): try: return exp(x) except: return -1 assert 709.782712893384 == bisect(to_solve, 600, 800, xtol=1e-16) def to_solve(x): x = 10**x try: return log(x) except: return 1.0 assert -323.60724533877976 == bisect(to_solve, -300, -400, xtol=1e-16) def test_horner(): from fluids.numerics import horner assert_allclose(horner([1.0, 3.0], 2.0), 5.0) assert_allclose(horner_backwards(2.0, [1.0, 3.0]), 5.0) assert_allclose(horner([3.0], 2.0), 3.0) poly = [1.12, 432.32, 325.5342, .235532, 32.235] assert_allclose(horner_and_der2(poly, 3.0), (14726.109396, 13747.040732, 8553.7884)) assert_allclose(horner_and_der3(poly, 3.0), (14726.109396, 13747.040732, 8553.7884, 2674.56)) poly = [1.12, 432.32, 325.5342, .235532, 32.235, 1.01] assert_allclose(horner_and_der4(poly, 3.0), [np.polyval(np.polyder(poly,o), 3) for o in range(5)]) def test_exp_horner_backwards(): assert_allclose((exp_horner_backwards(2.0, [1.0, 3.0])), exp(5.0)) # Test the derivatives coeffs = [1,.2,.03,.0004,.00005] x = 1.1 val = exp_horner_backwards(x, coeffs) assert_close(val, 5.853794011493425) der_num = derivative(lambda x: exp_horner_backwards(x, coeffs), x, dx=x*8e-7, order=7) der_ana = exp_horner_backwards_and_der(x, coeffs)[1] assert_close(der_ana, 35.804145691898384, rtol=1e-10) assert_close(der_num,der_ana, rtol=1e-10) der_num = derivative(lambda x: exp_horner_backwards_and_der(x, coeffs)[1], x, dx=x*8e-7, order=7) der_ana = exp_horner_backwards_and_der2(x, coeffs)[2] assert_close(der_ana, 312.0678014926728, rtol=1e-10) assert_close(der_num,der_ana, rtol=1e-10) der_num = derivative(lambda x: exp_horner_backwards_and_der2(x, coeffs)[2], x, dx=x*8e-7, order=7) der_ana = exp_horner_backwards_and_der3(x, coeffs)[3] assert_close(der_ana, 3208.8680487693714, rtol=1e-10) assert_close(der_num,der_ana, rtol=1e-10) def test_horner_backwards_ln_tau(): coeffs = [9.661381155485653, 224.16316385569456, 2195.419519751738, 11801.26111760343, 37883.05110910901, 74020.46380982929, 87244.40329893673, 69254.45831263301, 61780.155823216155] Tc = 591.75 val = horner_backwards_ln_tau(500.0, Tc, coeffs) assert_close(val, 24168.867169087476) assert 0 == horner_backwards_ln_tau(600.0, Tc, coeffs) T = 300.0 val = horner_backwards_ln_tau(T, Tc, coeffs) assert_close(val, 37900.38881665646) der_num = derivative(lambda T: horner_backwards_ln_tau(T, Tc, coeffs), T, dx=T*8e-7, order=7) der_ana = horner_backwards_ln_tau_and_der(T, Tc, coeffs)[1] assert_close(der_ana, -54.63227984137121, rtol=1e-10) assert_close(der_num,der_ana, rtol=1e-10) der_num = derivative(lambda T: horner_backwards_ln_tau_and_der(T, Tc, coeffs)[1], T, dx=T*8e-7, order=7) der_ana = horner_backwards_ln_tau_and_der2(T, Tc, coeffs)[2] assert_close(der_ana, 0.037847046150971016, rtol=1e-10) assert_close(der_num,der_ana, rtol=1e-8) der_num = derivative(lambda T: horner_backwards_ln_tau_and_der2(T, Tc, coeffs)[2], T, dx=T*160e-7, order=7) der_ana = horner_backwards_ln_tau_and_der3(T, Tc, coeffs)[3] assert_close(der_ana, -0.001920502581912092, rtol=1e-10) assert_close(der_num,der_ana, rtol=1e-10) def test_exp_horner_backwards_ln_tau(): # Coefficients for water from REFPROP, fit cs=[-1.2616237655927602e-05, -0.0004061873638525952, -0.005563382112542401, -0.04240531802937599, -0.19805733513004808, -0.5905741856310869, -1.1388001144550794, -0.1477584393673108, -2.401287527958821] Tc = 647.096 T = 300.0 expect = 0.07175344047522199 val = exp_horner_backwards_ln_tau(T, Tc, cs) assert_close(val, expect, rtol=1e-9) assert 0 == exp_horner_backwards_ln_tau(Tc, Tc, cs) assert 0 == exp_horner_backwards_ln_tau(Tc+1, Tc, cs) expect_der = -0.000154224581713238 val, der = exp_horner_backwards_ln_tau_and_der(T, Tc, cs) assert_close(der, expect_der, rtol=1e-13) assert_close(val, expect, rtol=1e-9) val, der, der2 = exp_horner_backwards_ln_tau_and_der2(T, Tc, cs) assert_close(der, expect_der, rtol=1e-13) assert_close(val, expect, rtol=1e-9) expect_der2 = -5.959538970287795e-07 assert_close(der2, expect_der2, rtol=1e-13) args = (300, 647.096, 0.06730658226743809, -0.00020056690242827797, -5.155567532930362e-09) assert_close1d(exp_poly_ln_tau_coeffs3(*args), [-0.022358482008994165, 1.0064575672832698, -2.062906603289078]) args = (300, 647.096, 0.06576090309133853, -0.0002202298609576884) calc = exp_poly_ln_tau_coeffs2(*args) assert_close1d(calc, [1.1624065398371628, -1.9976745939643825 ], rtol=1e-9) def test_quadratic_from_f_ders(): poly = [1.12, 432.32, 325.5342, .235532, 32.235] p = 3.0 v, d1, d2 = horner_and_der2(poly, p) quadratic = quadratic_from_f_ders(p, v, d1, d2) v_new, d1_new, d2_new = horner_and_der2(quadratic, p) assert_close(v_new, v) assert_close(d1_new, d1) assert_close(d2_new, d2) p = 2.9 v, d1, d2 = horner_and_der2(poly, p) v_new, d1_new, d2_new = horner_and_der2(quadratic, p) v_new, d1_new, d2_new, v, d1, d2 assert_close(v_new, v, rtol=1e-4) assert_close(d1_new, d1, rtol=5e-3) def test_roots_quadratic(): a, b, c = 1,2,3 v0, v1 = roots_quadratic(a, b, c) if v0.imag < v1.imag: v1, v0 = v0, v1 assert_close(v0, -1+1.4142135623730951j) assert_close(v1, -1-1.4142135623730951j) a, b, c = .1,2,3 v0, v1 = roots_quadratic(a, b, c) if v0.real < v1.real: v1, v0 = v0, v1 assert_close(v0, -1.6333997346592444) assert_close(v1, -18.366600265340757) def test_cumsum(): assert_close1d(cumsum([1,2,3,4,5]), [1, 3, 6, 10, 15]) assert_close1d(cumsum([1]), [1]) def test_interp(): from fluids.numerics import interp # Real world test data a = [0.29916, 0.29947, 0.31239, 0.31901, 0.32658, 0.33729, 0.34202, 0.34706, 0.35903, 0.36596, 0.37258, 0.38487, 0.38581, 0.40125, 0.40535, 0.41574, 0.42425, 0.43401, 0.44788, 0.45259, 0.47181, 0.47309, 0.49354, 0.49924, 0.51653, 0.5238, 0.53763, 0.54806, 0.55684, 0.57389, 0.58235, 0.59782, 0.60156, 0.62265, 0.62649, 0.64948, 0.65099, 0.6687, 0.67587, 0.68855, 0.69318, 0.70618, 0.71333, 0.72351, 0.74954, 0.74965] b = [0.164534, 0.164504, 0.163591, 0.163508, 0.163439, 0.162652, 0.162224, 0.161866, 0.161238, 0.160786, 0.160295, 0.15928, 0.159193, 0.157776, 0.157467, 0.156517, 0.155323, 0.153835, 0.151862, 0.151154, 0.14784, 0.147613, 0.144052, 0.14305, 0.140107, 0.138981, 0.136794, 0.134737, 0.132847, 0.129303, 0.127637, 0.124758, 0.124006, 0.119269, 0.118449, 0.113605, 0.113269, 0.108995, 0.107109, 0.103688, 0.102529, 0.099567, 0.097791, 0.095055, 0.087681, 0.087648] xs = np.linspace(0.29, 0.76, 100) ys = [interp(xi, a, b) for xi in xs.tolist()] ys_numpy = np.interp(xs, a, b) assert_allclose(ys, ys_numpy, atol=1e-12, rtol=1e-11) # Test custom extrapolation method xs = [1,2,3] ys = [.1, .2, .3] assert_close(interp(3.5, xs, ys, extrapolate=True), .35, rtol=1e-15) assert_close(interp(0, xs, ys, extrapolate=True), 0, rtol=1e-15) assert_close(interp(-1, xs, ys, extrapolate=True), -.1, rtol=1e-15) assert_close(interp(-100, xs, ys, extrapolate=True), -10, rtol=1e-15) assert_close(interp(10, xs, ys, extrapolate=True), 1, rtol=1e-15) assert_close(interp(10.0**30, xs, ys, extrapolate=True), 10.0**29, rtol=1e-15) def test_zeros(): # Only support up to 4d so far assert_allclose(zeros(2), np.zeros(2), atol=0) assert_allclose(zeros((2, )), np.zeros((2, )), atol=0) assert_allclose(zeros((2, 3)), np.zeros((2, 3)), atol=0) assert_allclose(zeros((2, 3, 4)), np.zeros((2, 3, 4)), atol=0) assert_allclose(zeros((2, 3, 4, 5)), np.zeros((2, 3, 4, 5)), atol=0) def test_full(): assert_allclose(full(2, 1), np.full(2, 1), atol=0) assert_allclose(full((2, ), 1), np.full((2, ), 1), atol=0) assert_allclose(full((2, 3), 1), np.full((2, 3), 1), atol=0) assert_allclose(full((2, 3, 4), 1), np.full((2, 3, 4), 1), atol=0) assert_allclose(full((2, 3, 4, 5), 1), np.full((2, 3, 4, 5), 1), atol=0) def test_splev(): from fluids.numerics import py_splev from scipy.interpolate import splev # Originally Dukler_XA_tck tck = [np.array([-2.4791105294648372, -2.4791105294648372, -2.4791105294648372, -2.4791105294648372, 0.14360803483759585, 1.7199938263676038, 1.7199938263676038, 1.7199938263676038, 1.7199938263676038]), np.array([0.21299880246561081, 0.16299733301915248, -0.042340970712679615, -1.9967836909384598, -2.9917366639619414, 0.0, 0.0, 0.0, 0.0]), 3] my_tck = [tck[0].tolist(), tck[1].tolist(), tck[2]] xs = np.linspace(-3, 2, 100).tolist() # test extrapolation ys_scipy = splev(xs, tck, ext=0) ys = [py_splev(xi, my_tck, ext=0) for xi in xs] assert_allclose(ys, ys_scipy) # test truncating to side values ys_scipy = splev(xs, tck, ext=3) ys = [py_splev(xi, my_tck, ext=3) for xi in xs] assert_allclose(ys, ys_scipy) # Test returning zeros for bad values ys_scipy = splev(xs, tck, ext=1) ys = [py_splev(xi, my_tck, ext=1) for xi in xs] assert_allclose(ys, ys_scipy) # Test raising an error when extrapolating is not allowed with pytest.raises(ValueError): py_splev(xs[0], my_tck, ext=2) with pytest.raises(ValueError): splev(xs[0], my_tck, ext=2) def test_bisplev(): from fluids.numerics import bisplev as my_bisplev from scipy.interpolate import bisplev tck = [np.array([0.0, 0.0, 0.0, 0.0, 0.0213694, 0.0552542, 0.144818, 0.347109, 0.743614, 0.743614, 0.743614, 0.743614]), np.array([0.0, 0.0, 0.25, 0.5, 0.75, 1.0, 1.0]), np.array([1.0001228445490002, 0.9988161050974387, 0.9987070557919563, 0.9979385859402731, 0.9970983069823832, 0.96602540121758, 0.955136014969614, 0.9476842472211648, 0.9351143114374392, 0.9059649602818451, 0.9218915266550902, 0.9086000082864022, 0.8934758292610783, 0.8737960765592091, 0.83185251064324, 0.8664296734965998, 0.8349705397843921, 0.809133298969704, 0.7752206120745123, 0.7344035693011536, 0.817047920445813, 0.7694560150930563, 0.7250979336267909, 0.6766754605968431, 0.629304180420512, 0.7137237030611423, 0.6408238328161417, 0.5772000233279148, 0.504889627280836, 0.440579886434288, 0.6239736474980684, 0.5273646894226224, 0.43995388722059986, 0.34359277007615313, 0.26986439252143746, 0.5640689738382749, 0.4540959882735219, 0.35278120580740957, 0.24364672351604122, 0.1606942128340308]), 3, 1] my_tck = [tck[0].tolist(), tck[1].tolist(), tck[2].tolist(), tck[3], tck[4]] xs = np.linspace(0, 1, 10) zs = np.linspace(0, 1, 10) ys_scipy = bisplev(xs, zs, tck) ys = my_bisplev(xs, zs, my_tck) assert_allclose(ys, ys_scipy) ys_scipy = bisplev(0.5, .7, tck) ys = my_bisplev(.5, .7, my_tck) assert_allclose(ys, ys_scipy) def test_linspace(): from fluids.numerics import linspace calc = linspace(-3,10, endpoint=True, num=8) expect = np.linspace(-3,10, endpoint=True, num=8) assert_allclose(calc, expect) calc = linspace(-3,10, endpoint=False, num=20) expect = np.linspace(-3,10, endpoint=False, num=20) assert_allclose(calc, expect) calc = linspace(0,1e-10, endpoint=False, num=3) expect = np.linspace(0,1e-10, endpoint=False, num=3) assert_allclose(calc, expect) calc = linspace(0,1e-10, endpoint=False, num=2) expect = np.linspace(0,1e-10, endpoint=False, num=2) assert_allclose(calc, expect) calc = linspace(0,1e-10, endpoint=False, num=1) expect = np.linspace(0,1e-10, endpoint=False, num=1) assert_allclose(calc, expect) calc, calc_step = linspace(0,1e-10, endpoint=False, num=2, retstep=True) expect, expect_step = np.linspace(0,1e-10, endpoint=False, num=2, retstep=True) assert_allclose(calc, expect) assert_allclose(calc_step, expect_step) calc, calc_step = linspace(0,1e-10, endpoint=False, num=1, retstep=True) expect, expect_step = np.linspace(0,1e-10, endpoint=False, num=1, retstep=True) assert_allclose(calc, expect) assert isnan(calc_step) # Cannot compare against numpy expect_step - it did not use to give nan in older versions calc, calc_step = linspace(100, 1000, endpoint=False, num=21, retstep=True) expect, expect_step = np.linspace(100, 1000, endpoint=False, num=21, retstep=True) assert_allclose(calc, expect) assert_allclose(calc_step, expect_step) def test_logspace(): from fluids.numerics import logspace calc = logspace(3,10, endpoint=True, num=8) expect = np.logspace(3,10, endpoint=True, num=8) assert_allclose(calc, expect) calc = logspace(3,10, endpoint=False, num=20) expect = np.logspace(3,10, endpoint=False, num=20) assert_allclose(calc, expect) calc = logspace(0,1e-10, endpoint=False, num=3) expect = np.logspace(0,1e-10, endpoint=False, num=3) assert_allclose(calc, expect) calc = logspace(0,1e-10, endpoint=False, num=2) expect = np.logspace(0,1e-10, endpoint=False, num=2) assert_allclose(calc, expect) calc = logspace(0,1e-10, endpoint=False, num=1) expect = np.logspace(0,1e-10, endpoint=False, num=1) assert_allclose(calc, expect) calc = logspace(0,1e-10, endpoint=False, num=2) expect = np.logspace(0,1e-10, endpoint=False, num=2) assert_allclose(calc, expect) calc = logspace(0,1e-10, endpoint=False, num=1) expect = np.logspace(0,1e-10, endpoint=False, num=1) assert_allclose(calc, expect) calc = logspace(100, 200, endpoint=False, num=21) expect = np.logspace(100, 200, endpoint=False, num=21) assert_allclose(calc, expect) def test_diff(): from fluids.numerics import diff test_arrs = [np.ones(10), np.zeros(10), np.arange(1, 10), np.arange(1, 10)*25.1241251, (np.arange(1, 10)**1.2), (10.1 + np.arange(1, 10)**20), (10.1 + np.linspace(-100, -10, 9)), (np.logspace(-10, -100, 19)**1.241), (np.logspace(10, 100, 15)**1.241) ] for test_arr in test_arrs: arr = test_arr.tolist() for n in range(5): diff_np = np.diff(arr, n=n) diff_py = diff(arr, n=n) assert_allclose(diff_np, diff_py) assert tuple(diff([1,2,3], n=0)) == tuple([1,2,3]) with pytest.raises(Exception): diff([1,2,3], n=-1) def test_fit_integral_linear_extrapolation(): coeffs = [-6.496329615255804e-23,2.1505678500404716e-19, -2.2204849352453665e-16, 1.7454757436517406e-14, 9.796496485269412e-11, -4.7671178529502835e-08, 8.384926355629239e-06, -0.0005955479316119903, 29.114778709934264] Tmin, Tmax = 50.0, 1000.0 Tmin_value, Tmax_value = 29.10061916353635, 32.697696220612684 Tmin_slope, Tmax_slope = 9.512557609301246e-06, 0.005910807286115391 int_coeffs = polyint(coeffs) T_int_T_coeffs, log_coeff = polyint_over_x(coeffs) def func(T): if T < Tmin: Cp = (T - Tmin)*Tmin_slope + Tmin_value elif T > Tmax: Cp = (T - Tmax)*Tmax_slope + Tmax_value else: Cp = horner(coeffs, T) return Cp assert_allclose(func(300), 29.12046448327871, rtol=1e-12) Ts = [0, 1, 25, 49, 50, 51, 500, 999, 1000, 1001, 2000, 50000] T_ends = [0, Tmin, Tmin*2.0, Tmax, Tmax*2.0] expect_values = [0.0, 0.0, 29.10014829193469, -29.10014829193469, 727.50656106565, -727.50656106565, 1425.9184530725483, -1425.9184530725483, 1455.0190674798057, -1455.0190674798057, 1484.119654811151, -1484.119654811151, 14588.023573849947, -14588.023573849947, 30106.09421115182, -30106.09421115182, 30138.789058157658, -30138.789058157658, 30171.489709781912, -30171.489709781912, 65791.88892182804, -65791.88892182804, 8728250.050849704, -8728250.050849704, -1455.0190674798057, 1455.0190674798057, -1425.918919187871, 1425.918919187871, -727.5125064141557, 727.5125064141557, -29.100614407257353, 29.100614407257353, 0.0, 0.0, 29.100587331345196, -29.100587331345196, 13133.004506370142, -13133.004506370142, 28651.075143672013, -28651.075143672013, 28683.76999067785, -28683.76999067785, 28716.470642302105, -28716.470642302105, 64336.869854348224, -64336.869854348224, 8726795.031782223, -8726795.031782223, -2910.0427925248396, 2910.0427925248396, -2880.942644232905, 2880.942644232905, -2182.53623145919, 2182.53623145919, -1484.1243394522915, 1484.1243394522915, -1455.023725045034, 1455.023725045034, -1425.923137713689, 1425.923137713689, 11677.980781325108, -11677.980781325108, 27196.05141862698, -27196.05141862698, 27228.746265632813, -27228.746265632813, 27261.446917257068, -27261.446917257068, 62881.84612930319, -62881.84612930319, 8725340.008057179, -8725340.008057179, -30138.789058157658, 30138.789058157658, -30109.688909865723, 30109.688909865723, -29411.282497092005, 29411.282497092005, -28712.870605085107, 28712.870605085107, -28683.76999067785, 28683.76999067785, -28654.669403346503, 28654.669403346503, -15550.765484307707, 15550.765484307707, -32.6948470058378, 32.6948470058378, 0.0, 0.0, 32.70065162425453, -32.70065162425453, 35653.09986367037, -35653.09986367037, 8698111.261791546, -8698111.261791546, -65791.88892182804, 65791.88892182804, -65762.7887735361, 65762.7887735361, -65064.38236076238, 65064.38236076238, -64365.97046875548, 64365.97046875548, -64336.869854348224, 64336.869854348224, -64307.769267016876, 64307.769267016876, -51203.86534797808, 51203.86534797808, -35685.794710676215, 35685.794710676215, -35653.09986367037, 35653.09986367037, -35620.39921204612, 35620.39921204612, 0.0, 0.0, 8662458.161927875, -8662458.161927875] numericals = [] analyticals = [] analyticals2 = [] for Tend in T_ends: for Tdiff in Ts: for (T1, T2) in zip([Tend, Tdiff], [Tdiff, Tend]): analytical = fit_integral_linear_extrapolation(T1, T2, int_coeffs, Tmin, Tmax, Tmin_value, Tmax_value, Tmin_slope, Tmax_slope) analytical2 = (poly_fit_integral_value(T2, int_coeffs, Tmin, Tmax, Tmin_value, Tmax_value, Tmin_slope, Tmax_slope) - poly_fit_integral_value(T1, int_coeffs, Tmin, Tmax, Tmin_value, Tmax_value, Tmin_slope, Tmax_slope)) # numerical = quad(func, T1, T2, epsabs=1.49e-14, epsrel=1.49e-14)[0] # numericals.append(numerical) analyticals.append(analytical) analyticals2.append(analytical2) # print(analyticals) # assert_allclose(analyticals, numericals, rtol=1e-7) # assert_allclose(analyticals2, numericals, rtol=1e-7) assert_allclose(analyticals, expect_values, rtol=1e-12) assert_allclose(analyticals2, expect_values, rtol=1e-12) # Cannot have temperatures of 0 absolute for integrals over T cases Ts = [1e-9, 1, 25, 49, 50, 51, 500, 999, 1000, 1001, 2000, 50000] T_ends = [1e-9, Tmin, Tmin*2.0, Tmax, Tmax*2.0] expect_values = [0.0, 0.0, 603.0500198952521, -603.0500198952521, 696.719996723752, -696.719996723752, 716.3030057880156, -716.3030057880156, 716.890916983322, -716.890916983322, 717.467185070396, -717.467185070396, 783.9851859794122, -783.9851859794122, 805.3820356163964, -805.3820356163964, 805.4147468212567, -805.4147468212567, 805.4474311329551, -805.4474311329551, 829.8928106482913, -829.8928106482913, 1199.8352295965128, -1199.8352295965128, -716.890916983322, 716.890916983322, -113.84089708806982, 113.84089708806982, -20.170920259569826, 20.170920259569826, -0.5879111953062761, 0.5879111953062761, 0.0, 0.0, 0.5762680870740127, -0.5762680870740127, 67.09426899609028, -67.09426899609028, 88.4911186330744, -88.4911186330744, 88.5238298379347, -88.5238298379347, 88.5565141496331, -88.5565141496331, 113.00189366496929, -113.00189366496929, 482.94431261319096, -482.94431261319096, -737.0618021522312, 737.0618021522312, -134.01178225697902, 134.01178225697902, -40.34180542847902, 40.34180542847902, -20.75879636421547, 20.75879636421547, -20.170885168909194, 20.170885168909194, -19.59461708183518, 19.59461708183518, 46.923383827181084, -46.923383827181084, 68.3202334641652, -68.3202334641652, 68.3529446690255, -68.3529446690255, 68.38562898072391, -68.38562898072391, 92.8310084960601, -92.8310084960601, 462.77342744428177, -462.77342744428177, -805.4147468212567, 805.4147468212567, -202.36472692600452, 202.36472692600452, -108.69475009750452, 108.69475009750452, -89.11174103324097, 89.11174103324097, -88.5238298379347, 88.5238298379347, -87.94756175086069, 87.94756175086069, -21.42956084184442, 21.42956084184442, -0.03271120486030554, 0.03271120486030554, 0.0, 0.0, 0.03268431169840369, -0.03268431169840369, 24.47806382703459, -24.47806382703459, 394.42048277525623, -394.42048277525623, -829.8928106482913, 829.8928106482913, -226.8427907530391, 226.8427907530391, -133.17281392453913, 133.17281392453913, -113.58980486027556, 113.58980486027556, -113.00189366496929, 113.00189366496929, -112.42562557789527, 112.42562557789527, -45.90762466887901, 45.90762466887901, -24.510775031894894, 24.510775031894894, -24.47806382703459, 24.47806382703459, -24.445379515336185, 24.445379515336185, 0.0, 0.0, 369.94241894822164, -369.94241894822164] numericals = [] analyticals = [] analyticals2 = [] for Tend in T_ends: for Tdiff in Ts: for (T1, T2) in zip([Tend, Tdiff], [Tdiff, Tend]): analytical = fit_integral_over_T_linear_extrapolation(T1, T2, T_int_T_coeffs, log_coeff, Tmin, Tmax, Tmin_value, Tmax_value, Tmin_slope, Tmax_slope) analytical2 = (poly_fit_integral_over_T_value(T2, T_int_T_coeffs, log_coeff, Tmin, Tmax, Tmin_value, Tmax_value, Tmin_slope, Tmax_slope) - poly_fit_integral_over_T_value(T1, T_int_T_coeffs, log_coeff, Tmin, Tmax, Tmin_value, Tmax_value, Tmin_slope, Tmax_slope)) # numerical = quad(lambda T: func(float(T))/T, T1, T2, epsabs=1.49e-12, epsrel=1.49e-14)[0] # numericals.append(numerical) analyticals.append(analytical) analyticals2.append(analytical2) # # assert_allclose(analyticals, numericals, rtol=1e-7) # assert_allclose(analyticals2, numericals, rtol=1e-7) assert_allclose(analyticals, expect_values, rtol=1e-11) assert_allclose(analyticals2, expect_values, rtol=1e-11) def test_best_bounding_bounds(): def to_solve(x): return exp(x) - 100 vals = best_bounding_bounds(0, 5, to_solve, xs_pos=[4.831, 4.6054], ys_pos= [25.38, 0.0288], xs_neg=[4, 4.533, 4.6051690], ys_neg=[-45.40, -6.933, -0.0001139]) assert_allclose(vals, (4.605169, 4.6054, -0.0001139, 0.0288), rtol=1e-12) vals = best_bounding_bounds(4.60517018598, 5, to_solve, xs_pos=[4.831, 4.6054], ys_pos= [25.38, 0.0288], xs_neg=[4, 4.533, 4.6051690], ys_neg=[-45.40, -6.933, -0.0001139]) assert_allclose(vals, (4.60517018598, 4.6054, -8.091802783383173e-10, 0.0288), rtol=1e-12) vals = best_bounding_bounds(0, 4.60517018599, to_solve, xs_pos=[4.831, 4.6054], ys_pos= [25.38, 0.0288], xs_neg=[4, 4.533, 4.6051690], ys_neg=[-45.40, -6.933, -0.0001139]) assert_allclose(vals, (4.605169, 4.60517018599, -0.0001139, 1.908233571157325e-10), rtol=1e-12) vals = best_bounding_bounds(0, 4.60517018599, fa=to_solve(0), fb=to_solve(4.60517018599), xs_pos=[4.831, 4.6054], ys_pos= [25.38, 0.0288], xs_neg=[4, 4.533, 4.6051690], ys_neg=[-45.40, -6.933, -0.0001139]) assert_allclose(vals, (4.605169, 4.60517018599, -0.0001139, 1.908233571157325e-10), rtol=1e-12) def test_is_poly_positive(): assert not is_poly_positive([4, 3, 2, 1]) for high in range(0, 100, 5): assert is_poly_positive([4, 3, 2, 1], domain=(0, 10**high)) coeffs_4alpha = [2.1570803657937594e-10, 2.008831101045556e-06, -0.004656598178209313, 2.8575882247542514] assert not is_poly_positive(coeffs_4alpha) assert is_poly_positive(coeffs_4alpha, domain=(0, 511)) assert is_poly_positive(coeffs_4alpha, domain=(-10000, 511)) assert not is_poly_positive(coeffs_4alpha, domain=(-20000, 511)) assert not is_poly_positive(coeffs_4alpha, domain=(-15000, 511)) assert not is_poly_positive(coeffs_4alpha, domain=(-13000, 511)) assert not is_poly_positive(coeffs_4alpha, domain=(-11500, 511)) def test_roots_quartic(): coeffs = [1.0, -3.274390673429134, 0.3619541556604501, 2.4841800045762747, -0.49619076425603237] expect_roots = ((-0.8246324500888049+1.1609047395516947e-17j), (0.2041867922778502-3.6197168963943884e-17j), (1.027869356838059+2.910620457054182e-17j), (2.86696697440203-4.51808300211488e-18j)) expect_mp_roots_real = [-0.824632450088805, 0.20418679227785, 1.0278693568380592, 2.86696697440203] roots_calc = roots_quartic(*coeffs) assert_allclose(expect_roots, roots_calc, rtol=1e-9) assert_allclose(expect_mp_roots_real, [i.real for i in roots_calc], rtol=1e-9) def test_array_as_tridiagonals(): A = [[10.0, 2.0, 0.0, 0.0], [3.0, 10.0, 4.0, 0.0], [0.0, 1.0, 7.0, 5.0], [0.0, 0.0, 3.0, 4.0]] tridiagonals = array_as_tridiagonals(A) expect_diags = [[3.0, 1.0, 3.0], [10.0, 10.0, 7.0, 4.0], [2.0, 4.0, 5.0]] assert_allclose(tridiagonals[0], expect_diags[0], rtol=0, atol=0) assert_allclose(tridiagonals[1], expect_diags[1], rtol=0, atol=0) assert_allclose(tridiagonals[2], expect_diags[2], rtol=0, atol=0) A = np.array(A) tridiagonals = array_as_tridiagonals(A) assert_allclose(tridiagonals[0], expect_diags[0], rtol=0, atol=0) assert_allclose(tridiagonals[1], expect_diags[1], rtol=0, atol=0) assert_allclose(tridiagonals[2], expect_diags[2], rtol=0, atol=0) a, b, c = [3.0, 1.0, 3.0], [10.0, 10.0, 7.0, 4.0], [2.0, 4.0, 5.0] expect_mat = tridiagonals_as_array(a, b, c) assert_allclose(expect_mat, A, rtol=0, atol=0) d = [3.0, 4.0, 5.0, 6.0] solved_expect = [0.1487758945386064, 0.756120527306968, -1.001883239171375, 2.2514124293785316] assert_allclose(solve_tridiagonal(a, b, c, d), solved_expect, rtol=1e-12) def test_subset_matrix(): kijs = [[0, 0.00076, 0.00171], [0.00076, 0, 0.00061], [0.00171, 0.00061, 0]] expect = [[0, 0.00061], [0.00061, 0]] got = subset_matrix(kijs, [1,2]) assert_allclose(expect, got, atol=0, rtol=0) got = subset_matrix(kijs, slice(1, 3, 1)) assert_allclose(expect, got, atol=0, rtol=0) expect = [[0, 0.00171], [0.00171, 0]] got = subset_matrix(kijs, [0,2]) assert_allclose(expect, got, atol=0, rtol=0) got = subset_matrix(kijs, slice(0, 3, 2)) assert_allclose(expect, got, atol=0, rtol=0) expect = [[0, 0.00076], [0.00076, 0]] got = subset_matrix(kijs, [0,1]) assert_allclose(expect, got, atol=0, rtol=0) got = subset_matrix(kijs, slice(0, 2, 1)) assert_allclose(expect, got, atol=0, rtol=0) got = subset_matrix(kijs, [0,1, 2]) assert_allclose(kijs, got, atol=0, rtol=0) got = subset_matrix(kijs, slice(0, 3, 1)) assert_allclose(kijs, got, atol=0, rtol=0) def test_translate_bound_func(): def rosen_test(x): x, y = x return (1.0 - x)**2 + 100.0*(y - x**2)**2 f, into, outof = translate_bound_func(rosen_test, low=[-2, -.2], high=[3.0, 4]) point = [.6, .7] in_exp = [0.0800427076735365, -1.2992829841302609] assert_allclose(into(point), in_exp, rtol=1e-12) assert_allclose(outof(in_exp), point, rtol=1e-12) assert f(into([1, 1])) < 1e-20 assert_allclose(outof(into([1, 1])), [1, 1], rtol=1e-12) f, into, outof = translate_bound_func(rosen_test, bounds=[[-2, 3], [-.2, 4]]) point = [.6, .7] in_exp = [0.0800427076735365, -1.2992829841302609] assert_allclose(into(point), in_exp, rtol=1e-12) assert_allclose(outof(in_exp), point, rtol=1e-12) assert f(into([1, 1])) < 1e-20 assert_allclose(outof(into([1, 1])), [1, 1], rtol=1e-12) def test_translate_bound_jac(): from scipy.optimize import rosen_der def rosen_test(x): x, y = x return (1.0 - x)**2 + 100.0*(y - x**2)**2 j, into, outof = translate_bound_jac(rosen_der, low=[-2, -.2], high=[3.0, 4]) f, into, outof = translate_bound_func(rosen_test, low=[-2, -.2], high=[3.0, 4]) point = [3, -2] jac_num = jacobian(f, point, perturbation=1e-8) jac_anal = j(point) assert_allclose(jac_num, jac_anal, rtol=1e-6) def test_translate_bound_f_jac(): from scipy.optimize import rosen_der def rosen_test(x): x, y = x return (1.0 - x)**2 + 100.0*(y - x**2)**2 low, high = [-2, -.2], [3.0, 4] f_j, into, outof = translate_bound_f_jac(rosen_test, rosen_der, low=low, high=high) point = [3, -2] f0, j0 = f_j(point) f0_check = translate_bound_func(rosen_test, low=low, high=high)[0](point) assert_allclose(f0_check, f0, rtol=1e-13) j0_check = translate_bound_jac(rosen_der, low=low, high=high)[0](point) assert_allclose(j0_check, j0, rtol=1e-13) def test_translate_bound_f_jac_multivariable(): def cons_f(x): return [x[0]**2 + x[1], x[0]**2 - x[1]] def cons_J(x): return[[2*x[0], 1], [2*x[0], -1]] new_f_j, translate_into, translate_outof = translate_bound_f_jac(cons_f, cons_J, bounds=[(-10, 10), (-5, 5)]) assert_close2d(new_f_j([-2.23, 3.45])[1], jacobian(lambda g: new_f_j(g, )[0], [-2.23, 3.45], scalar=False), rtol=3e-6) def test_solve_direct(): A = [[1.0,2.53252], [34.34, .5342]] B = [1.1241, .54354] assert_close1d(np.linalg.solve(A, B), solve_2_direct(A, B), rtol=1e-14) assert type(solve_2_direct(A, B)) is list A = [[1.0,2.53252, 54.54], [34.34, .5342, .545], [12.43, .545, .55555]] B = [1.1241, .54354, 1.22333] assert_close1d(np.linalg.solve(A, B), solve_3_direct(A, B), rtol=5e-14) assert type(solve_3_direct(A, B)) is list A = [[1.0,2.53252, 54.54, .235], [34.34, .5342, .545, .223], [12.43, .545, .55555, 33.33], [1.11, 2.2, 3.33, 4.44]] B = [1.1241, .54354, 1.22333, 9.009] ans = solve_4_direct(A, B) assert_close1d(np.linalg.solve(A, B), ans, rtol=5e-14) assert type(ans) is list def test_polylog2(): x = polylog2(0.5) assert_close(x, 0.5822405264516294) xs = linspace(0,0.99999, 50) # ys_act = [float(polylog(2, x)) for x in xs] # from sympy import polylog ys_act = [0.0, 0.020513035768572635, 0.0412401364927588, 0.06218738124039796, 0.08336114665629184, 0.10476812813791354, 0.12641536301777412, 0.1483102559926201, 0.1704606070746889, 0.19287464238138674, 0.21556104812821067, 0.23852900824703252, 0.261788246119884, 0.2853490709994786, 0.309222429784819, 0.33341996493707843, 0.3579540794622072, 0.38283801005840257, 0.4080859097363812, 0.43371294147827794, 0.45973538481992837, 0.4861707576383267, 0.5130379559237574, 0.540357414944675, 0.5681512960135646, 0.596443704089335, 0.6252609427828415, 0.6546318150738004, 0.6845879803506546, 0.7151643814663312, 0.7463997596771124, 0.7783372810645774, 0.811025306032588, 0.8445183447984893, 0.878878258148156, 0.9141757868110273, 0.9504925291123206, 0.9879235426949309, 1.026580835488432, 1.0665981582977615, 1.108137763432647, 1.1514002456979586, 1.1966394380910048, 1.244186068718536, 1.2944877067946645, 1.3481819162579485, 1.4062463083287482, 1.4703641942000052, 1.5441353484206717, 1.644808936992927] ys = [polylog2(x) for x in xs] assert_close1d(ys, ys_act, rtol=1E-7, atol=1E-10) def test_std(): inputs = ([1.0,5.0,11.0,4.0], [1.0,-5.0,11.0,-4.0], [1e12,-5.e13,11e14,-4e13], [1, 2, 3, 4], [-1, -2, -3, 4], [14, 8, 11, 10, 7, 9, 10, 11, 10, 15, 5, 10] ) for thing in inputs: assert_close(std(thing), np.std(thing), rtol=1e-14) def test_min_max_ratios(): actual = [1,2,3,4,5] calculated = [.9, 2.1, 3.05, 3.8, 5.5] min_ratio_np, max_ratio_np = np.min(np.array(calculated)/actual), np.max(np.array(calculated)/actual) assert_close1d([min_ratio_np, max_ratio_np], min_max_ratios(actual, calculated), rtol=1e-14) # Case with a zero match actual = [1,2,3,0,5] calculated = [.9, 2.1, 3.05, 0.0, 5.5] assert_close1d(min_max_ratios(actual, calculated), (0.9, 1.1), rtol=0) # Case with a zero mismatch actual = [1,2,3,0,5] calculated = [.9, 2.1, 3.05, 1, 5.5] assert_close1d(min_max_ratios(actual, calculated), (0.9, 10.0), rtol=0) def test_py_factorial(): from fluids.numerics import py_factorial import math for i in range(30): assert math.factorial(i) == py_factorial(i) def test_exp_stablepoly_fit_ln_tau(): coeffs = [0.011399360373616219, -0.014916568994522095, -0.06881296308711171, 0.0900153056718409, 0.19066633691545576, -0.24937350547406822, -0.3148389292182401, 0.41171834646956995, 0.3440581845934503, -0.44989947455906076, -0.2590532901358529, 0.33869134876113094, 0.1391329435696207, -0.18195230788023764, -0.050437145563137165, 0.06583166394466389, 0.01685157036382634, -0.022266583863000733, 0.003539388708205138, -0.005171064606571463, 0.012264455189935575, -0.018085676249990357, 0.026950795197264732, -0.04077120220662778, 0.05786417011592615, -0.07222889554773304, 0.07433570330647113, -0.05829288696590232, -3.7182636506596722, -5.844828481765601] Tmin, Tmax, Tc = 233.22, 646.15, 647.096 xmin, xmax = log(1-Tmin/Tc), log(1-Tmax/Tc) offset, scale = polynomial_offset_scale(xmin, xmax) T = 500 expect = 0.03126447402046822 expect_d, expect_d2 = -0.0002337992205182661, -1.0453011134030858e-07 calc = exp_horner_stable_ln_tau(T, Tc, coeffs, offset, scale) assert_close(expect, calc) assert 0 == exp_horner_stable_ln_tau(700, Tc, coeffs, offset, scale) calc2 = exp_horner_stable_ln_tau_and_der(T, Tc, coeffs, offset, scale) assert (0,0) == exp_horner_stable_ln_tau_and_der(700, Tc, coeffs, offset, scale) assert_close(expect, calc2[0]) assert_close(expect_d, calc2[1]) calc3 = exp_horner_stable_ln_tau_and_der2(T, Tc, coeffs, offset, scale) assert (0,0, 0) == exp_horner_stable_ln_tau_and_der2(700, Tc, coeffs, offset, scale) assert_close(expect, calc3[0]) assert_close(expect_d, calc3[1]) assert_close(expect_d2, calc3[2]) def test_exp_cheb_fit_ln_tau(): coeffs = [-5.922664830406188, -3.6003367212635444, -0.0989717205896406, 0.05343895281736921, -0.02476759166597864, 0.010447569392539213, -0.004240542036664352, 0.0017273355647560718, -0.0007199858491173661, 0.00030714447101984343, -0.00013315510546685339, 5.832551964424226e-05, -2.5742454514671165e-05, 1.143577875153956e-05, -5.110008470393668e-06, 2.295229193177706e-06, -1.0355920205401548e-06, 4.690917226601865e-07, -2.1322112805921556e-07, 9.721709759435981e-08, -4.4448656630335925e-08, 2.0373327115630335e-08, -9.359475430792408e-09, 4.308620855930645e-09, -1.9872392620357004e-09, 9.181429297400179e-10, -4.2489342599871804e-10, 1.969051449668413e-10, -9.139573819982871e-11, 4.2452263926406886e-11, -1.9768853221080462e-11, 9.190537220149508e-12, -4.2949394041258415e-12, 1.9981863386142606e-12, -9.396025624219817e-13, 4.335282133283158e-13, -2.0410756418343112e-13, 1.0455525334407412e-13, -4.748978987834107e-14, 2.7630675525358583e-14] Tmin, Tmax, Tc = 233.22, 646.15, 647.096 expect = 0.031264474019763455 expect_d, expect_d2 = -0.00023379922039411865, -1.0453010755999069e-07 xmin, xmax = log(1-Tmin/Tc), log(1-Tmax/Tc) offset, scale = polynomial_offset_scale(xmin, xmax) coeffs_d = chebder(coeffs, m=1, scl=scale) coeffs_d2 = chebder(coeffs_d, m=1, scl=scale) coeffs_d3 = chebder(coeffs_d2, m=1, scl=scale) T = 500 calc = exp_cheb_ln_tau(T, Tc, coeffs, offset, scale) assert 0 == exp_cheb_ln_tau(700, Tc, coeffs, offset, scale) assert_close(expect, calc) calc2 = exp_cheb_ln_tau_and_der(T, Tc, coeffs, coeffs_d, offset, scale) assert (0,0) == exp_cheb_ln_tau_and_der(700, Tc, coeffs, coeffs_d, offset, scale) assert_close(expect, calc2[0]) assert_close(expect_d, calc2[1]) calc3 = exp_cheb_ln_tau_and_der2(T, Tc, coeffs, coeffs_d, coeffs_d2, offset, scale) assert (0,0,0) == exp_cheb_ln_tau_and_der2(700, Tc, coeffs, coeffs_d, coeffs_d2, offset, scale) assert_close(expect, calc3[0]) assert_close(expect_d, calc3[1]) assert_close(expect_d2, calc3[2]) def test_stablepoly_ln_tau(): Tmin, Tmax, Tc = 178.18, 591.74, 591.75 coeffs = [-0.00854738149791956, 0.05600738152861595, -0.30758192972280085, 1.6848304651211947, -8.432931053161155, 37.83695791102946, -150.87603890354512, 526.4891248463246, -1574.7593541151946, 3925.149223414621, -7826.869059381197, 11705.265444382389, -11670.331914006258, 5817.751307862842] expect = 24498.131947494512 expect_d, expect_d2, expect_d3 = -100.77476796035525, -0.6838185833621794, -0.012093191888904656 xmin, xmax = log(1-Tmin/Tc), log(1-Tmax/Tc) offset, scale = polynomial_offset_scale(xmin, xmax) T = 500.0 calc = horner_stable_ln_tau(T, Tc, coeffs, offset, scale) assert_close(expect, calc) calc2 = horner_stable_ln_tau_and_der(T, Tc, coeffs, offset, scale) assert_close(expect, calc2[0]) assert_close(expect_d, calc2[1]) calc3 = horner_stable_ln_tau_and_der2(T, Tc, coeffs, offset, scale) assert_close(expect, calc3[0]) assert_close(expect_d, calc3[1]) assert_close(expect_d2, calc3[2]) calc4 = horner_stable_ln_tau_and_der3(T, Tc, coeffs, offset, scale) assert_close(expect, calc4[0]) assert_close(expect_d, calc4[1]) assert_close(expect_d2, calc4[2]) assert_close(expect_d3, calc4[3]) def test_chebval_ln_tau(): Tmin, Tmax = 178.18, 591.0 Tc = 591.75 coeffs = [18231.740838720892, -18598.514785409734, 5237.841944302821, -1010.5549489362293, 147.88312821848922, -17.412144225239444, 1.7141064359038864, -0.14493639179363527, 0.01073811633477817, -0.0007078634084791702, 4.202655964036239e-05, -2.274648068123497e-06, 1.1239490049774759e-07] T = 500 xmin, xmax = log(1-Tmin/Tc), log(1-Tmax/Tc) offset, scale = polynomial_offset_scale(xmin, xmax) coeffs_d = chebder(coeffs, m=1, scl=scale) coeffs_d2 = chebder(coeffs_d, m=1, scl=scale) coeffs_d3 = chebder(coeffs_d2, m=1, scl=scale) calc = chebval_ln_tau(T, Tc, coeffs, offset, scale) assert 0 == chebval_ln_tau(600, Tc, coeffs, offset, scale) expect = 24498.131947622023 expect_d, expect_d2, expect_d3 = -100.77476795241955, -0.6838185834436981, -0.012093191904152178 assert_close(expect, calc) calc2 = chebval_ln_tau_and_der(T, Tc, coeffs, coeffs_d, offset, scale) assert (0,0) == chebval_ln_tau_and_der(600, Tc, coeffs, coeffs_d, offset, scale) assert_close(expect, calc2[0]) assert_close(expect_d, calc2[1]) calc3 = chebval_ln_tau_and_der2(T, Tc, coeffs, coeffs_d, coeffs_d2, offset, scale) assert (0,0,0) == chebval_ln_tau_and_der2(600, Tc, coeffs, coeffs_d, coeffs_d2, offset, scale) assert_close(expect, calc3[0]) assert_close(expect_d, calc3[1]) assert_close(expect_d2, calc3[2]) calc4 = chebval_ln_tau_and_der3(T, Tc, coeffs, coeffs_d, coeffs_d2, coeffs_d3, offset, scale) assert (0,0,0,0) == chebval_ln_tau_and_der3(600, Tc, coeffs, coeffs_d, coeffs_d2, coeffs_d3, offset, scale) assert_close(expect, calc4[0]) assert_close(expect_d, calc4[1]) assert_close(expect_d2, calc4[2]) assert_close(expect_d3, calc4[3]) def test_exp_cheb(): xmin, xmax = (309.0, 591.72) coeffs = [12.570668791524573, 3.1092695610681673, -0.5485217707981505, 0.11115875762247596, -0.01809803938553478, 0.003674911307077089, -0.00037626163070525465, 0.0001962813915017403, 6.120764548889213e-05, 3.602752453735203e-05] x = 400.0 offset, scale = polynomial_offset_scale(xmin, xmax) expect = 157186.81766860923 calc = exp_cheb(x, coeffs, offset, scale) assert_close(calc, expect, rtol=1e-14) coeffs_d = chebder(coeffs, m=1, scl=scale) coeffs_d2 = chebder(coeffs_d, m=1, scl=scale) coeffs_d3 = chebder(coeffs_d2, m=1, scl=scale) der_num = derivative(exp_cheb, x, args=(coeffs, offset, scale), dx=x*1e-7) der_analytical = exp_cheb_and_der(x, coeffs, coeffs_d, offset, scale)[1] assert_close(der_num, der_analytical, rtol=1e-7) assert_close(der_analytical, 4056.277312107932, rtol=1e-14) der_num = derivative(lambda *args: exp_cheb_and_der(*args)[1], x, args=(coeffs, coeffs_d, offset, scale), dx=x*1e-7) der_analytical = exp_cheb_and_der2(x, coeffs, coeffs_d, coeffs_d2, offset, scale)[-1] assert_close(der_analytical, 81.34302144188977, rtol=1e-14) assert_close(der_num, der_analytical, rtol=1e-7) der_num = derivative(lambda *args: exp_cheb_and_der2(*args)[-1], x, args=(coeffs, coeffs_d, coeffs_d2, offset, scale), dx=x*1e-7) der_analytical = exp_cheb_and_der3(x, coeffs, coeffs_d, coeffs_d2, coeffs_d3, offset, scale)[-1] assert_close(der_num, der_analytical, rtol=1e-7) assert_close(der_analytical, 1.105438780935656, rtol=1e-14) vals = exp_cheb_and_der3(x, coeffs, coeffs_d, coeffs_d2, coeffs_d3, offset, scale) assert_close1d(vals, (157186.81766860923, 4056.277312107932, 81.34302144188977, 1.105438780935656), rtol=1e-14) vals = exp_cheb_and_der2(x, coeffs, coeffs_d, coeffs_d2, offset, scale) assert_close1d(vals, (157186.81766860923, 4056.277312107932, 81.34302144188977), rtol=1e-14) vals = exp_cheb_and_der(x, coeffs, coeffs_d, offset, scale) assert_close1d(vals, (157186.81766860923, 4056.277312107932), rtol=1e-14) def test_exp_stablepoly_fit(): xmin, xmax = 309.0, 591.72 coeffs = [0.008603558174828078, 0.007358688688856427, -0.016890323025782954, -0.005289197721114957, -0.0028824712174469625, 0.05130960832946553, -0.12709896610233662, 0.37774977659528036, -0.9595325030688526, 2.7931528759840174, 13.10149649770156] x = 400 offset, scale = polynomial_offset_scale(xmin, xmax) expect = 157191.01706242564 calc = exp_horner_stable(x, coeffs, offset, scale) assert_close(calc, expect, rtol=1e-14) der_num = derivative(exp_horner_stable, x, args=(coeffs, offset, scale), dx=x*1e-7) der_analytical = exp_horner_stable_and_der(x, coeffs, offset, scale)[1] assert_close(der_num, der_analytical, rtol=1e-7) assert_close(der_analytical, 4056.436943642117, rtol=1e-14) der_num = derivative(lambda *args: exp_horner_stable_and_der(*args)[1], x, args=(coeffs, offset, scale), dx=x*1e-7) der_analytical = exp_horner_stable_and_der2(x, coeffs, offset, scale)[-1] assert_close(der_analytical, 81.32645570045084, rtol=1e-14) assert_close(der_num, der_analytical, rtol=1e-7) der_num = derivative(lambda *args: exp_horner_stable_and_der2(*args)[-1], x, args=(coeffs, offset, scale), dx=x*1e-7) der_analytical = exp_horner_stable_and_der3(x, coeffs, offset, scale)[-1] assert_close(der_num, der_analytical, rtol=1e-7) assert_close(der_analytical, 1.103603650822488, rtol=1e-14) vals = exp_horner_stable_and_der3(x, coeffs, offset, scale) assert_close1d(vals, (157191.01706242564, 4056.436943642117, 81.32645570045084, 1.103603650822488), rtol=1e-14) vals = exp_horner_stable_and_der2(x, coeffs, offset, scale) assert_close1d(vals, (157191.01706242564, 4056.436943642117, 81.32645570045084), rtol=1e-14) vals = exp_horner_stable_and_der(x, coeffs, offset, scale) assert_close1d(vals, (157191.01706242564, 4056.436943642117), rtol=1e-14) def test_horner_domain(): test_stable_coeffs = [28.0163226043884, 24.92038363551981, -7.469247118451516, 16.400149851861975, 67.52558234042988, 176.7837155284216] xmin, xmax = (162.0, 570.0) x = 300 expect = 157.0804912518053 calc = horner_domain(x, test_stable_coeffs, xmin, xmax) assert_close(calc, expect, rtol=1e-14) offset, scale = polynomial_offset_scale(xmin, xmax) calc = horner_stable(x, test_stable_coeffs, offset, scale) assert_close(calc, expect, rtol=1e-14) der_num = derivative(horner_stable, x, args=(test_stable_coeffs, offset, scale), dx=x*1e-7) der_analytical = horner_stable_and_der(x, test_stable_coeffs, offset, scale)[1] assert_close(der_analytical, 0.25846754626830115, rtol=1e-14) assert_close(der_num, der_analytical, rtol=1e-7) der_num = derivative(lambda *args: horner_stable_and_der(*args)[1], x, args=(test_stable_coeffs, offset, scale), dx=x*1e-7) der_analytical = horner_stable_and_der2(x, test_stable_coeffs, offset, scale)[2] assert_close(der_analytical, 0.0014327609525395784, rtol=1e-14) assert_close(der_num, der_analytical, rtol=1e-7) der_num = derivative(lambda *args: horner_stable_and_der2(*args)[-1], x, args=(test_stable_coeffs, offset, scale), dx=x*1e-7) der_analytical = horner_stable_and_der3(x, test_stable_coeffs, offset, scale)[-1] assert_close(der_analytical, -7.345952769973301e-06, rtol=1e-14) assert_close(der_num, der_analytical, rtol=1e-7) der_num = derivative(lambda *args: horner_stable_and_der3(*args)[-1], x, args=(test_stable_coeffs, offset, scale), dx=x*1e-7) der_analytical = horner_stable_and_der4(x, test_stable_coeffs, offset, scale)[-1] assert_close(der_analytical, -2.8269861583547557e-07, rtol=1e-14) assert_close(der_num, der_analytical, rtol=1e-7) five_vals = horner_stable_and_der4(x, test_stable_coeffs, offset, scale) assert_close1d(five_vals, (157.0804912518053, 0.25846754626830115, 0.0014327609525395784, -7.345952769973301e-06, -2.8269861583547557e-07), rtol=1e-14) four_vals = horner_stable_and_der3(x, test_stable_coeffs, offset, scale) assert_close1d(four_vals, (157.0804912518053, 0.25846754626830115, 0.0014327609525395784, -7.345952769973301e-06), rtol=1e-14) three_vals = horner_stable_and_der2(x, test_stable_coeffs, offset, scale) assert_close1d(three_vals, (157.0804912518053, 0.25846754626830115, 0.0014327609525395784), rtol=1e-14) two_vals = horner_stable_and_der(x, test_stable_coeffs, offset, scale) assert_close1d(two_vals, (157.0804912518053, 0.25846754626830115), rtol=1e-14) def test_stable_poly_to_unstable(): stuff = [1,2,3,4] out = stable_poly_to_unstable(stuff, 10, 100) expect = [1.0973936899862826e-05, -0.0008230452674897121, 0.05761316872427985, 1.4951989026063095] assert_close1d(out, expect, rtol=1e-12) out = stable_poly_to_unstable(stuff, 10, 10) assert_close1d(out, stuff) def test_cheb(): Tmin, Tmax = 50, 1500.0 toluene_TRC_cheb_fit = [194.9993931442641, 135.143566535142, -31.391834328585, -0.03951841213554952, 5.633110876073714, -3.686554783541794, 1.3108038668007862, -0.09053861376310801, -0.2614279887767278, 0.24832452742026911, -0.15919652548841812, 0.09374295717647019, -0.06233192560577938, 0.050814520356653126, -0.046331125185531064, 0.0424579816955023, -0.03739513702085129, 0.031402017733109244, -0.025212485578021915, 0.01939423141593144, -0.014231480849538403, 0.009801281575488097, -0.006075456686871594, 0.0029909809015365996, -0.0004841890018462136, -0.0014991199985455728, 0.0030051480117581075, -0.004076901418829215, 0.004758297389532928, -0.005096275567543218, 0.00514099984344718, -0.004944736724873944, 0.004560044671604424, -0.004037777783658769, 0.0034252408915679267, -0.002764690626354871, 0.0020922734527478726, -0.0014374230267101273, 0.0008226963858916081, -0.00026400260413972365, -0.0002288377348015347, 0.0006512726893767029, -0.0010030137199867895, 0.0012869214641443305, -0.001507857723972772, 0.001671575150882565, -0.0017837100581746812, 0.001848935469520696, -0.0009351605848800237] toluene_TRC_cheb_fit_copy = [v for v in toluene_TRC_cheb_fit] offset, scale = polynomial_offset_scale(Tmin, Tmax) val = chebval(300, toluene_TRC_cheb_fit, offset, scale) assert_close(val, 104.46956642594124, rtol=1e-14) d1_coeffs = chebder(toluene_TRC_cheb_fit, m=1, scl=scale) d2_coeffs = chebder(toluene_TRC_cheb_fit, m=2, scl=scale) d2_2_coeffs = chebder(d1_coeffs, m=1, scl=scale) val = chebval(300, d1_coeffs, offset, scale) assert_close(val, 0.36241217517888635, rtol=1e-14) val = chebval(300, d2_coeffs, offset, scale) assert_close(val, -6.445511348110282e-06, rtol=1e-14) val = chebval(300, d2_2_coeffs, offset, scale) assert_close(val, -6.445511348110282e-06, rtol=1e-14) assert d2_2_coeffs == d2_coeffs int_coeffs = chebint(toluene_TRC_cheb_fit, m=1, lbnd=0, scl=1/scale) assert_close(chebval(300, int_coeffs, offset, scale), -83708.18079449862, rtol=1e-10) assert toluene_TRC_cheb_fit == toluene_TRC_cheb_fit_copy fluids-1.0.22/tests/test_design_climate.py0000644000175000017500000015360714302004506020140 0ustar nileshnilesh# -*- coding: utf-8 -*- '''Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2016, 2017 Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.''' from numpy.testing import assert_allclose from fluids.numerics import assert_close, assert_close1d import pytest import numpy as np from fluids.design_climate import * from fluids.design_climate import _latlongs, stations import os try: import geopy has_geopy = True except: has_geopy = False data_dir_override = os.path.join(os.path.dirname(__file__), 'gsod') def test_heating_degree_days(): assert_close(heating_degree_days(273, truncate=False), -18.483333333333292) assert 0 == heating_degree_days(273, truncate=True) assert 0 == heating_degree_days(273) assert_close(heating_degree_days(273, T_base = 250), 23) assert_close(heating_degree_days(279, T_base=300, truncate=False), -21) def test_cooling_degree_days(): assert_close( cooling_degree_days(250), 33.15) assert 0 == cooling_degree_days(300) assert_close(cooling_degree_days(300, truncate=False), -16.85) assert_close(cooling_degree_days(250, T_base=300), 50) @pytest.mark.slow def test_month_average_temperature(): station = get_closest_station(38.8572, -77.0369) station_data = StationDataGSOD(station, data_dir_override=data_dir_override) Ts_calc = station_data.month_average_temperature(1990, 2000, include_yearly=False, minimum_days=23) Ts_expect = [276.1599380905833, 277.5375516246206, 281.1881231671554, 286.7367003367004, 291.8689638318671, 296.79545454545456, 299.51868686868687, 298.2097914630174, 294.4116161616162, 288.25883023786247, 282.3188552188553, 277.8282339524275] assert_close1d(Ts_calc, Ts_expect, rtol=1E-3) assert station_data.warmest_month(1990, 2000) == 6 assert station_data.coldest_month(1990, 2000) == 0 def test_IntegratedSurfaceDatabaseStation(): # Information confirmed elsewhere i.e. https://geographic.org/global_weather/not_specified_canada/calgary_intl_cs_713930_99999.html values = [713930.0, 99999.0, 'CALGARY INTL CS', 'CA', None, None, 51.1, -114.0, 1081.0, 20040921.0, 20150831.0] test_station = IntegratedSurfaceDatabaseStation(*values) for value, attr in zip(values, test_station.__slots__): assert value == getattr(test_station, attr) def test_data(): assert _latlongs.shape[0] >= 27591 for station in stations: assert abs(station.LAT) <= 90 assert abs(station.LON) <= 180 @pytest.mark.slow def test_correct_WBAN(): station = get_closest_station(31.9973, -102.0779) station_data = StationDataGSOD(station, data_dir_override=data_dir_override) assert station.WBAN == '03071' assert station_data.month_average_temperature(2010, 2011, include_yearly=False) def test_get_closest_station(): s = get_closest_station(51.02532675, -114.049868485806, 20150000) assert s.NAME == 'CALGARY INTL CS' with pytest.raises(Exception): get_closest_station(51.02532675, -114.049868485806, 90150000) sample_data_random_station_1999 = '''STN--- WBAN YEARMODA TEMP DEWP SLP STP VISIB WDSP MXSPD GUST MAX MIN PRCP SNDP FRSHTT 712650 99999 19990101 12.3 24 3.1 24 1022.8 24 1013.0 24 8.4 24 15.0 24 22.9 29.9 23.7 4.1 0.00G 999.9 001000 712650 99999 19990102 10.1 24 -0.6 24 1034.1 24 1024.1 24 6.8 24 12.7 24 29.9 35.0 23.0* 5.0* 0.00G 999.9 001000 712650 99999 19990103 28.1 24 24.9 24 1007.5 24 997.9 24 3.6 24 24.2 24 36.9 43.9 35.6* 21.2* 0.71G 999.9 001000 712650 99999 19990104 17.8 24 10.8 24 1011.0 24 1001.3 24 8.8 24 26.1 24 30.9 42.0 36.7 13.3 0.04G 999.9 001000 712650 99999 19990105 16.3 22 9.3 22 1022.9 22 1013.1 22 8.0 22 15.4 22 22.9 38.1 20.1 13.3 0.00G 999.9 001000 712650 99999 19990106 19.3 24 14.4 24 1016.3 24 1006.6 24 6.2 24 19.7 24 28.0 34.0 28.4* 10.4* 0.00G 999.9 001000 712650 99999 19990107 17.4 23 8.6 23 1019.5 23 1009.8 23 8.9 23 20.9 23 23.9 35.0 29.1 10.9 0.02G 999.9 001000 712650 99999 19990108 15.5 24 9.8 24 1026.3 24 1016.5 24 7.0 24 9.3 24 20.0 26.0 21.2* 10.4* 0.00G 999.9 001000 712650 99999 19990109 20.8 24 16.2 24 1012.1 24 1002.4 24 3.8 24 9.3 24 18.1 23.9 24.8* 19.4* 0.04G 999.9 001000 712650 99999 19990111 12.2 24 4.7 24 1016.8 24 1007.0 24 7.7 24 14.4 24 27.0 38.1 20.7 7.5 0.02G 999.9 000000 712650 99999 19990112 20.8 24 15.8 24 1011.8 24 1002.1 24 4.6 24 7.8 24 15.9 19.0 24.8 7.5 0.00G 999.9 001000 712650 99999 19990113 10.3 24 2.7 24 1026.1 24 1016.3 24 3.9 24 11.7 24 19.0 23.9 22.5* -0.4* 0.20G 999.9 001000 712650 99999 19990114 -0.7 24 -9.1 24 1034.7 24 1024.5 24 2.1 24 20.1 24 34.0 42.0 15.8* -7.6* 0.00G 999.9 001000 712650 99999 19990115 13.4 22 9.2 22 1016.2 22 1006.4 22 3.2 22 13.5 22 20.0 42.0 19.4* 8.6* 0.55G 999.9 001000 712650 99999 19990116 25.4 24 21.7 24 1009.2 24 999.7 24 5.6 24 18.8 24 26.0 32.1 35.6* 12.2* 0.02G 999.9 001000 712650 99999 19990117 33.3 24 28.0 24 1017.6 24 1008.1 24 6.1 24 8.9 24 19.0 32.1 37.4* 29.8* 0.16G 999.9 000000 712650 99999 19990118 36.6 24 33.9 24 1006.8 24 997.5 24 6.8 24 13.7 24 18.1 21.0 41.4 27.7 0.26G 999.9 010000 712650 99999 19990119 34.2 24 28.5 24 1006.3 24 996.9 24 8.7 24 22.6 24 30.9 36.9 41.4 32.5 0.02G 999.9 000000 712650 99999 19990120 32.3 24 25.8 24 1017.6 24 1008.2 24 8.5 24 12.1 24 20.0 38.1 33.8* 30.2* 0.00G 999.9 000000 712650 99999 19990121 32.0 24 27.5 24 1018.7 24 1009.3 24 7.2 24 4.6 24 11.1 21.0 37.4* 26.6* 0.00G 999.9 000000 712650 99999 19990122 34.0 19 31.6 19 1020.7 19 1011.2 19 6.7 19 21.5 19 28.9 37.9 36.7 26.1 0.02G 999.9 010000 712650 99999 19990123 40.1 24 39.1 24 1013.3 24 1003.9 24 4.8 24 9.9 24 21.0 39.0 48.2* 36.3* 0.33G 999.9 010000 712650 99999 19990124 38.9 24 34.0 24 1009.7 23 1000.3 23 7.7 24 14.4 24 22.9 28.9 48.2* 33.8* 0.12G 999.9 011000 712650 99999 19990125 31.7 23 24.9 23 1021.4 23 1011.8 23 6.3 23 8.1 23 18.1 31.1 41.7 29.3 0.00G 999.9 001000 712650 99999 19990126 31.3 24 23.7 24 1028.3 24 1018.6 24 9.0 24 11.2 24 18.1 25.1 32.7 27.3 0.00I 999.9 000000 712650 99999 19990127 30.5 23 25.8 23 1021.1 23 1011.5 23 6.0 23 11.3 23 23.9 32.1 34.3 22.1 0.00G 999.9 010000 712650 99999 19990128 28.2 23 25.9 23 1015.2 23 1005.7 23 4.4 23 15.0 23 23.9 32.1 34.3 22.1 0.08G 999.9 011000 712650 99999 19990129 21.9 24 16.4 24 1028.6 24 1018.8 24 7.8 24 4.1 24 9.9 21.0 31.3 18.3 0.02G 999.9 001000 712650 99999 19990130 30.1 23 22.0 23 1033.4 23 1023.7 23 7.9 23 9.1 23 14.0 18.1 33.8* 26.6* 0.02G 999.9 000000 712650 99999 19990131 27.4 24 16.6 24 1042.4 24 1032.6 24 9.0 24 9.9 24 15.0 21.0 34.0 24.6 0.00G 999.9 000000 712650 99999 19990201 28.0 24 24.4 24 1030.5 24 1022.4 4 7.4 24 8.5 24 15.9 18.1 33.8* 23.0* 0.00G 999.9 000000 712650 99999 19990202 34.9 24 34.3 24 1012.5 22 1004.2 4 1.7 24 8.7 24 15.0 20.0 37.4* 33.6* 0.04G 999.9 010000 712650 99999 19990203 36.9 24 32.0 24 1009.6 24 998.9 4 9.0 24 12.5 24 16.9 25.1 40.3 33.4 0.14G 999.9 000000 712650 99999 19990204 37.2 24 32.1 24 1008.1 21 998.7 4 8.6 24 9.3 24 21.0 33.0 39.6* 33.8* 0.00G 999.9 010000 712650 99999 19990205 25.7 23 14.5 23 1027.2 23 9999.9 0 9.0 23 9.5 23 23.9 35.9 41.4 21.2 0.06G 999.9 000000 712650 99999 19990206 33.5 24 27.4 24 1014.9 21 1006.3 4 6.8 24 6.7 24 11.1 20.0 39.2* 27.9* 0.00G 999.9 001000 712650 99999 19990207 33.7 24 25.9 24 1015.5 22 1006.2 4 8.4 24 10.0 24 25.1 28.0 37.4* 30.2* 0.02G 999.9 000000 712650 99999 19990208 26.8 21 16.6 21 1016.7 21 9999.9 0 9.0 21 7.2 21 15.9 29.9 34.5 19.8 0.00G 999.9 000000 712650 99999 19990209 38.2 23 30.3 23 1012.0 23 1003.0 4 8.5 23 13.1 23 22.9 28.9 48.2* 32.0* 0.00G 999.9 000000 712650 99999 19990210 37.2 24 26.4 24 1020.4 24 1009.4 4 9.0 24 9.8 24 16.9 35.9 48.4 30.7 0.02G 999.9 000000 712650 99999 19990211 35.6 24 32.6 24 1020.1 23 1011.9 4 8.0 24 9.2 24 15.0 24.1 41.5 30.2 0.00G 999.9 010000 712650 99999 19990212 38.8 24 34.8 24 1006.6 24 997.3 4 7.5 24 13.7 24 25.1 40.0 50.0 31.3 0.02G 999.9 011000 712650 99999 19990213 25.2 24 15.8 24 1013.8 21 1002.8 4 8.1 24 18.3 24 22.9 45.1 32.0* 20.8* 0.18G 999.9 001000 712650 99999 19990214 23.0 24 7.9 24 1028.4 24 1018.2 4 9.0 24 7.6 24 15.0 32.1 32.0* 16.9* 0.00G 999.9 000000 712650 99999 19990215 34.5 21 26.4 21 1021.5 18 1013.0 4 8.9 21 11.6 21 18.1 999.9 41.0* 30.2* 0.00I 999.9 000000 712650 99999 19990216 36.6 24 32.6 24 1016.2 24 1007.4 4 7.6 24 7.6 24 14.0 20.0 42.3 28.9 0.00G 999.9 000000 712650 99999 19990217 37.4 24 33.3 24 1010.6 20 1001.2 4 5.8 24 12.8 24 22.0 28.0 42.3 31.6 0.06G 999.9 010000 712650 99999 19990218 33.2 24 24.0 24 1014.6 23 1004.7 4 8.3 24 10.1 24 15.9 24.1 41.2 29.8 0.02G 999.9 000000 712650 99999 19990219 24.7 24 11.2 24 1019.0 24 1009.2 4 9.0 24 8.5 24 12.0 19.0 34.2 19.0 0.00G 999.9 000000 712650 99999 19990220 23.6 24 11.2 24 1020.3 23 1010.4 4 9.0 24 8.8 24 13.0 16.9 30.2* 18.9* 0.00I 999.9 000000 712650 99999 19990221 21.0 24 2.7 24 1023.8 24 1013.6 4 9.0 24 12.6 24 15.9 26.0 30.6 15.4 0.00G 999.9 000000 712650 99999 19990222 13.1 23 -9.4 23 1031.8 23 1021.4 4 8.9 23 8.2 23 15.9 25.1 26.2 4.5 0.00G 999.9 000000 712650 99999 19990223 18.9 24 1.1 24 1032.5 24 1022.8 4 8.9 24 10.1 24 18.1 21.0 25.7 4.5 0.02G 999.9 000000 712650 99999 19990224 26.5 23 13.4 23 1028.9 22 1019.8 4 8.9 23 13.4 23 18.1 23.9 32.0* 21.2* 0.00G 999.9 000000 712650 99999 19990225 33.4 24 22.1 24 1021.3 24 1012.3 4 9.0 24 11.0 24 20.0 999.9 35.6* 32.0* 0.00I 999.9 000000 712650 99999 19990226 33.5 24 20.7 24 1021.9 24 1012.3 4 9.0 24 7.5 24 12.0 24.1 42.6 26.1 0.00G 999.9 000000 712650 99999 19990227 32.8 24 26.0 24 1017.3 24 1008.7 4 4.7 24 7.1 24 16.9 999.9 42.6 25.9 0.00I 999.9 000000 712650 99999 19990228 37.7 24 35.8 24 998.6 23 990.9 4 4.3 24 11.6 24 16.9 22.0 41.9 25.9 0.37G 999.9 010000 712650 99999 19990301 36.3 24 32.1 24 994.7 23 985.0 4 6.8 24 10.2 24 22.0 35.0 41.0* 32.0* 0.10G 999.9 010000 712650 99999 19990302 33.2 24 19.5 24 1005.5 23 9999.9 0 9.0 24 13.2 24 21.0 30.9 41.0* 24.8* 0.00G 999.9 001000 712650 99999 19990303 34.6 24 31.5 24 1004.4 24 996.3 4 5.6 24 11.8 24 21.0 29.9 42.3 25.0 0.02G 999.9 010000 712650 99999 19990304 28.0 24 18.7 24 1003.4 24 991.9 4 9.0 24 21.1 24 29.9 39.0 36.7 24.8 0.33G 999.9 001000 712650 99999 19990305 23.1 24 10.9 24 1026.0 24 1015.0 4 9.0 24 9.2 24 19.0 42.0 31.8 17.6 0.02G 999.9 000000 712650 99999 19990306 20.1 24 13.9 24 1023.4 21 1014.4 4 2.2 24 19.0 24 27.0 35.0 27.0 15.3 0.06G 999.9 001000 712650 99999 19990307 13.8 24 -2.9 24 1034.1 24 1022.7 4 8.7 24 13.2 24 22.0 36.9 25.3 6.6 0.04G 999.9 001000 712650 99999 19990308 18.6 24 3.4 24 1040.4 24 1030.7 4 9.0 24 6.2 24 9.9 28.9 26.6 6.6 0.00G 999.9 000000 712650 99999 19990309 24.0 24 10.8 24 1029.5 23 1021.2 4 9.0 24 12.3 24 25.1 29.9 27.5 10.9 0.00G 999.9 001000 712650 99999 19990310 24.4 24 5.7 24 1020.0 24 1010.5 4 9.0 24 10.9 24 15.9 32.1 28.4* 18.5* 0.06G 999.9 000000 712650 99999 19990311 28.9 24 14.6 24 1020.3 24 1010.8 4 9.0 24 11.0 24 19.0 28.0 33.8* 25.9* 0.02G 999.9 000000 712650 99999 19990312 28.2 24 13.8 24 1022.6 24 1012.6 4 9.0 24 13.5 24 19.0 28.9 34.0 22.8 0.00G 999.9 000000 712650 99999 19990313 29.5 24 12.7 24 1027.6 24 1017.9 4 9.0 24 7.9 24 14.0 28.9 35.4 22.8 0.00G 999.9 000000 712650 99999 19990314 32.4 24 17.6 24 1022.5 24 1013.8 4 9.0 24 9.8 24 15.0 22.0 35.4 23.5 0.00G 999.9 000000 712650 99999 19990315 34.1 24 15.5 24 1016.4 24 1007.3 4 9.0 24 7.5 24 15.9 21.0 42.8* 28.4* 0.00G 999.9 000000 712650 99999 19990316 37.0 24 22.3 24 1011.8 24 1003.3 4 9.0 24 11.1 24 26.0 999.9 42.8* 32.0* 0.00G 999.9 000000 712650 99999 19990317 39.8 24 33.0 24 1007.6 24 998.9 4 6.1 24 7.2 24 15.0 32.1 50.0* 34.9* 0.00G 999.9 000000 712650 99999 19990318 43.5 24 32.8 24 1004.3 24 994.1 4 8.9 24 17.5 24 34.0 41.0 52.5 33.6 0.00G 999.9 000000 712650 99999 19990319 35.3 24 22.5 24 1021.6 24 1010.9 4 9.0 24 12.8 24 18.1 41.0 47.5 29.3 0.02G 999.9 000000 712650 99999 19990320 32.9 24 23.4 24 1025.4 24 1016.4 4 9.0 24 6.8 24 13.0 22.0 43.3 27.0 0.00G 999.9 000000 712650 99999 19990321 38.0 24 31.7 24 1012.5 24 1004.6 4 8.9 24 11.0 24 18.1 999.9 42.8* 35.6* 99.99 999.9 010000 712650 99999 19990322 35.9 24 29.4 24 1005.4 23 996.1 4 7.8 24 15.6 24 27.0 34.0 43.9 32.9 99.99 999.9 011000 712650 99999 19990323 35.3 24 23.0 24 1015.7 24 1005.3 4 9.0 24 15.4 24 22.9 36.9 43.0 29.7 0.02G 999.9 000000 712650 99999 19990324 39.1 24 26.8 24 1014.2 24 1004.8 4 8.9 24 9.6 24 15.9 26.0 46.4* 34.9* 0.00G 999.9 000000 712650 99999 19990325 33.0 24 18.2 24 1022.4 22 9999.9 0 9.0 24 9.2 24 15.0 22.0 49.1 27.7 0.00G 999.9 001000 712650 99999 19990326 33.3 24 22.8 24 1026.8 24 1017.1 4 9.0 24 7.6 24 13.0 21.0 39.2* 26.6* 0.00G 999.9 001000 712650 99999 19990327 37.3 24 25.6 24 1026.6 24 1017.2 4 9.0 24 2.5 24 7.0 999.9 45.5 27.0 0.00I 999.9 000000 712650 99999 19990328 41.9 24 24.2 24 1021.7 24 1013.0 4 9.0 24 3.6 24 8.0 999.9 50.5 29.1 0.00I 999.9 000000 712650 99999 19990329 47.4 24 29.6 24 1016.6 24 1007.4 4 8.9 24 11.1 24 21.0 30.9 59.9 32.5 0.00I 999.9 000000 712650 99999 19990330 44.7 24 28.6 24 1022.6 24 1012.8 4 9.0 24 10.5 24 21.0 33.0 59.9 36.3 0.02G 999.9 000000 712650 99999 19990331 46.0 24 32.9 24 1018.4 24 1009.9 4 9.0 24 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0.14D 999.9 010000 712650 99999 19991211 34.2 21 22.8 21 1020.9 21 1010.4 4 8.9 21 15.5 21 23.9 35.9 47.1 31.6 0.00D 999.9 000000 712650 99999 19991212 31.6 22 25.5 22 1022.2 20 1012.7 4 8.9 22 5.8 22 15.0 999.9 37.4* 27.3* 0.00G 999.9 000000 712650 99999 19991213 36.5 24 32.2 24 1018.2 23 9999.9 0 7.5 24 6.2 24 15.0 15.9 41.0* 33.8* 0.02C 999.9 010000 712650 99999 19991214 35.9 22 30.6 22 1018.9 22 1010.1 4 8.5 22 22.7 22 35.0 40.0 41.2 34.0 0.02D 999.9 010000 712650 99999 19991215 40.8 23 38.2 23 1010.8 18 1002.5 4 7.1 23 9.7 23 26.0 32.1 46.4 34.0 0.18D 999.9 010000 712650 99999 19991216 39.8 24 32.1 24 1006.2 22 9999.9 0 8.9 24 20.9 24 28.9 36.9 46.6 37.2 0.06D 999.9 011000 712650 99999 19991217 31.6 23 16.3 23 1016.6 23 1006.0 4 8.9 23 16.9 23 22.9 35.9 41.4 26.6 0.00G 999.9 000000 712650 99999 19991218 27.5 22 17.5 22 1026.6 22 9999.9 0 9.0 22 5.3 22 12.0 999.9 33.6 23.5 0.00C 999.9 000000 712650 99999 19991219 31.0 23 21.3 23 1028.5 23 1019.0 4 8.9 23 10.4 23 22.0 27.0 35.6* 25.0* 0.00D 999.9 000000 712650 99999 19991220 40.4 23 35.3 23 1016.4 22 1008.5 4 8.6 23 10.9 23 23.9 30.9 44.6* 36.7* 0.02D 999.9 010000 712650 99999 19991221 28.2 18 14.5 18 1019.3 17 9999.9 0 9.0 18 19.2 18 29.9 36.9 45.1 24.3 0.02C 999.9 000000 712650 99999 19991222 21.5 23 10.1 23 1024.4 23 9999.9 0 9.0 23 14.9 23 20.0 31.1 28.2 18.7 0.00G 999.9 000000 712650 99999 19991223 22.1 22 10.3 22 1022.4 21 9999.9 0 8.6 22 15.8 22 22.0 26.0 25.0 18.7 0.00G 999.9 001000 712650 99999 19991224 18.5 24 7.7 24 1023.5 24 1013.4 4 9.0 24 8.4 24 15.9 27.0 24.8* 14.0* 0.00G 999.9 000000 712650 99999 19991225 20.8 24 11.4 24 1025.5 24 1016.7 4 9.0 24 11.2 24 30.9 36.9 30.2* 15.8* 0.00G 999.9 001000 712650 99999 19991226 31.1 23 19.8 23 1002.6 20 9999.9 0 8.6 23 26.2 23 36.9 43.9 33.8* 26.6* 0.00G 999.9 001000 712650 99999 19991227 21.9 22 12.4 22 1008.7 22 998.3 4 8.3 22 9.6 22 16.9 999.9 26.6* 17.6* 0.00D 999.9 001000 712650 99999 19991228 18.9 24 11.0 24 1005.5 24 997.5 4 8.3 24 13.9 24 26.0 30.9 27.0* 10.4* 0.00G 999.9 001000 712650 99999 19991229 23.1 24 14.9 24 1004.7 23 994.4 4 8.1 24 13.1 24 29.9 35.9 32.0* 14.0* 0.00G 999.9 001000 712650 99999 19991230 34.5 24 24.7 24 1003.9 24 992.8 4 8.7 24 17.9 24 35.0 45.1 42.3 12.6 0.00G 999.9 001000 712650 99999 19991231 22.9 24 13.1 24 1018.2 24 1008.2 4 9.0 24 6.2 24 11.1 29.9 42.3 16.3 0.02G 999.9 000000 ''' @pytest.mark.slow @pytest.mark.online def test_get_station_year_text(): downloaded_data = get_station_year_text(712650, 99999, 1999) try: downloaded_data = downloaded_data.decode('utf-8') except: pass assert downloaded_data == sample_data_random_station_1999 with pytest.raises(Exception): get_station_year_text(712650, 99999, 19999999999) @pytest.mark.slow @pytest.mark.online @pytest.mark.skipif(not has_geopy, reason='geopy is required') def test_geocode(): latlon = geocode('Fredericton, NB') assert_close(latlon, (45.966425, -66.645813), rtol=5e-4)fluids-1.0.22/tests/test_fittings_fits.py0000644000175000017500000005352714302004506020045 0ustar nileshnilesh# -*- coding: utf-8 -*- '''Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2018 Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.''' from __future__ import division import os from fluids import * import numpy as np from math import pi, log10, log from random import uniform from numpy.testing import assert_allclose from scipy.constants import * from scipy.optimize import * from scipy.interpolate import * from fluids import fluids_data_dir from fluids.core import Engauge_2d_parser from fluids.optional.pychebfun import * import pytest ### Contractions def test_contraction_conical_Miller_coefficients(): from fluids.fittings import contraction_conical_Miller_tck path = os.path.join(fluids_data_dir, 'Miller 2E 1990 conical contractions K part 1.csv') Kds, l_ratios, A_ratios = Engauge_2d_parser(open(path).readlines()) path = os.path.join(fluids_data_dir, 'Miller 2E 1990 conical contractions K part 2.csv') Kd2, l_ratio2, A_ratio2 = Engauge_2d_parser(open(path).readlines()) Kds.extend(Kd2) l_ratios.extend(l_ratio2) A_ratios.extend(A_ratio2) A_ratios = [[i+1.0 for i in j] for j in A_ratios] # # The second set of data obviously looks terirble when plotted # # Normally the data should be smoothed, but, well, the smoothing # # function also requires smooth functions. # for K, ls, As in zip(Kds, l_ratios, A_ratios): # plt.loglog(ls, np.array(As)-1, label=str(K)) # plt.legend() # plt.show() all_zs = [] all_xs = [] all_ys = [] for z, xs, ys in zip(Kds, l_ratios, A_ratios): for x, y in zip(xs, ys): all_zs.append(z) all_xs.append(x) all_ys.append(y) tck = bisplrep(np.log(all_xs), np.log(all_ys), all_zs, kx=3, ky=1, s=.0001) [assert_allclose(i, j) for i, j in zip(contraction_conical_Miller_tck, tck)] # err = 0.0 # n = 0 # for z, xs, ys in zip(Kds, l_ratios, A_ratios): # for x, y in zip(xs, ys): # predict = bisplev(log(x), log(y), tck) # err += abs(predict - z)/z # n += 1 # 5% relative error seems like the sweetspot # print(err/n, n, err) # import matplotlib.pyplot as plt # ax = plt.gca() # ax.set_xscale("log") # ax.set_yscale("log") # x = np.logspace(np.log10(.1), np.log10(10), 200) # y = np.logspace(np.log10(1.1), np.log10(4), 200) # X, Y = np.meshgrid(x, y, indexing='ij') # func = np.vectorize(lambda x, y: max(min(bisplev(log(x), log(y), tck), .5), 0)) # # Z = func(X.ravel(), Y.ravel()) # Z = [[func(xi, yi) for yi in y.tolist()] for xi in x] # # levels = [.001, .01, .03, .04, .05, .1, .2, .3, .4] # plt.contourf(X, Y-1, Z, levels=levels, cmap='RdGy') # plt.colorbar() # plt.show() @pytest.mark.slow def test_contraction_abrupt_Miller_coefficients(): from fluids.fittings import tck_contraction_abrupt_Miller curve_path = os.path.join(fluids_data_dir, 'Miller 2E 1990 abrupt contraction K.csv') text = open(curve_path).readlines() zs, x_lists, y_lists = Engauge_2d_parser(text) for xs, values in zip(x_lists, y_lists): values[-1] = 0 low = 1e-8 for i in range(2): low = low/10 values.insert(-1, low) xs.insert(-1, 1-low) xs[-1] = 1 inter_objs = [] for rd, As, Ks in zip(zs, x_lists, y_lists): univar = UnivariateSpline(As, Ks, s=1e-5) inter_objs.append(univar) # make a rectangular grid As = np.linspace(0, 1, 1000) Ks_stored = [] for obj in inter_objs: Ks_smoothed = obj(As) Ks_smoothed[Ks_smoothed < 0] = 0 # Avoid zeros Ks_stored.append(Ks_smoothed) # Flatten the data to the form used in creating the spline all_zs = [] all_xs = [] all_ys = [] for z, x, ys in zip(zs, As, Ks_stored): for x, y in zip(As, ys): all_zs.append(z) all_xs.append(x) all_ys.append(y) tck_recalc = bisplrep(all_xs, all_zs, all_ys, s=5e-4) [assert_allclose(i, j, rtol=1e-2) for i, j in zip(tck_contraction_abrupt_Miller, tck_recalc)] # Plotting code # print([i.tolist() for i in tck[:3]]) # for i, (rd, As, Ks) in enumerate(zip(zs, x_lists, y_lists)): # plt.plot(As, Ks, '.') # univar = inter_objs[i] # As2 = np.linspace(0, 1, 1000) # Ks_smoothed = univar(As2) # plt.plot(As2, Ks_smoothed) # # Compute with the spline # Ks_new = bisplev(As2, rd, tck) # plt.plot(As2, Ks_new) # for rd in np.linspace(.1, 0, 100): # As2 = np.linspace(0, 1, 1000) # Ks_new = bisplev(As2, rd, tck) # plt.plot(As2, Ks_new) # plt.show() ### Diffusers @pytest.mark.slow def test_diffuser_conical_Miller_coefficients(): from fluids.fittings import tck_diffuser_conical_Miller path = os.path.join(fluids_data_dir, 'Miller 2E 1990 conical diffuser Kd.csv') Kds, l_ratios, A_ratios = Engauge_2d_parser(open(path).readlines()) # Fixup stupidity A_ratios = [[i+1.0 for i in j] for j in A_ratios] # for K, ls, As in zip(Kds, l_ratios, A_ratios): # plt.loglog(ls, np.array(As)-1) # plt.show() interp_objs = [] for K, ls, As in zip(Kds, l_ratios, A_ratios): univar = UnivariateSpline(np.log10(ls), np.log10(As), s=4e-5) interp_objs.append(univar) # Extrapolation to the left and right looks bad # Extrapolation upwards looks bad too ls_full = np.logspace(log10(0.1), log10(20.0)) ls_stored = [] As_stored = [] for i, (K, ls, As) in enumerate(zip(Kds, l_ratios, A_ratios)): # plt.loglog(ls, As) univar = interp_objs[i] As_full = 10**univar(np.log10(ls_full)) # plt.loglog(ls_full, As_full) # print(len(univar.get_coeffs()), len(univar.get_knots())) ls_smoothed = np.logspace(log10(ls[0]), log10(ls[-1]), 100) As_smoothed = 10**univar(np.log10(ls_smoothed)) # plt.loglog(ls_smoothed, As_smoothed) ls_stored.append(ls_smoothed) As_stored.append(As_smoothed) # plt.show() all_zs = [] all_xs = [] all_ys = [] for z, xs, ys in zip(Kds, ls_stored, As_stored): for x, y in zip(xs, ys): all_zs.append(z) all_xs.append(x) all_ys.append(y) tck_recalc = bisplrep(np.log(all_xs), np.log(all_ys), all_zs, s=.002) [assert_allclose(i, j, rtol=1e-2) for i, j in zip(tck_diffuser_conical_Miller, tck_recalc)] # Plotting code to re-create the graph through solving for points # print([len(i) for i in tck[0:3]]) # # for K, ls in zip(Kds, ls_stored): # def get_right_y(l, K_goal): # try: # def err(y_guess): # if y_guess <= 1.1: # y_guess = 1.1 # if y_guess > 4: # y_guess = 4 # return bisplev(log(l), log(y_guess), tck) - K_goal # # ans = newton(err, 1.3) # ans = bisect(err, 1.1, 4) # # # if abs(err(ans)) > .1: # # ans = None # return ans # except: # return None # As_needed = [get_right_y(l, K) for l in ls] # plt.loglog(ls, As_needed, 'x') # plt.show() ### Entrances def test_entrance_distance_Miller_coefficients(): from fluids.fittings import entrance_distance_Miller_coeffs t_ds = [0.006304, 0.007586, 0.009296, 0.011292, 0.013288, 0.015284, 0.019565, 0.022135, 0.024991, 0.02842, 0.032136, 0.036426, 0.040145, 0.043149, 0.048446, 0.054745, 0.061332, 0.067919, 0.075081, 0.081957, 0.089121, 0.096284, 0.099722, 0.106886, 0.110897, 0.118061, 0.125224, 0.132101, 0.139264, 0.147, 0.153877, 0.16104, 0.167917, 0.175081, 0.181957, 0.189121, 0.196284, 0.199723, 0.206886, 0.214049, 0.221213, 0.228376, 0.235539, 0.242416, 0.249579, 0.250726, 0.257889, 0.264766, 0.271929, 0.279093, 0.286256, 0.293419, 0.300009] Ks = [1.00003, 0.97655, 0.94239, 0.90824, 0.87408, 0.83993, 0.78301, 0.75028, 0.71756, 0.68626, 0.65638, 0.62793, 0.6066, 0.59166, 0.57532, 0.56111, 0.54833, 0.5384, 0.53416, 0.53135, 0.53138, 0.53142, 0.53143, 0.53147, 0.53149, 0.53152, 0.53156, 0.53159, 0.53162, 0.53023, 0.53027, 0.5303, 0.53033, 0.53179, 0.5304, 0.53186, 0.53189, 0.53191, 0.53194, 0.53198, 0.53201, 0.53347, 0.53208, 0.53353, 0.53215, 0.53215, 0.53218, 0.53364, 0.53367, 0.53371, 0.53374, 0.53378, 0.5331] # plt.plot(t_ds, Ks) t_ds2 = np.linspace(t_ds[0], t_ds[-1], 1000) # Ks_Rennels = [entrance_distance(Di=1, t=t) for t in t_ds2] # plt.plot(t_ds2, Ks_Rennels) # plt.show() obj = UnivariateSpline(t_ds, Ks, s=3e-5) # print(len(obj.get_coeffs()), len(obj.get_knots())) # plt.plot(t_ds2, obj(t_ds2)) fun = chebfun(f=obj, domain=[0,.3], N=15) coeffs = chebfun_to_poly(fun, text=False) assert_allclose(coeffs, entrance_distance_Miller_coeffs) def test_entrance_distance_45_Miller_coefficients(): from fluids.fittings import entrance_distance_45_Miller_coeffs t_ds_re_entrant_45 = [0.006375, 0.007586, 0.009296, 0.011292, 0.013288, 0.015284, 0.019565, 0.022135, 0.024991, 0.02842, 0.032136, 0.036426, 0.040109, 0.043328, 0.046868, 0.048443, 0.053379, 0.053594, 0.059318, 0.059855, 0.065044, 0.068836, 0.070768, 0.07678, 0.082793, 0.088805, 0.089663, 0.095963, 0.104267, 0.110566, 0.116866, 0.123451, 0.129751, 0.136337, 0.142637, 0.146933, 0.153807, 0.160394, 0.167268, 0.174143, 0.181018, 0.187893, 0.194769, 0.199927, 0.20709, 0.213966, 0.221129, 0.228292, 0.235455, 0.242332, 0.249495, 0.250641, 0.257804, 0.264967, 0.27213, 0.279006, 0.286169, 0.293333, 0.299815] Ks_re_entrant_45 = [1.0, 0.97655, 0.94239, 0.90824, 0.87408, 0.83993, 0.78301, 0.75028, 0.71756, 0.68626, 0.65638, 0.62793, 0.60642, 0.59113, 0.57033, 0.56535, 0.54225, 0.54403, 0.52128, 0.52003, 0.5028, 0.48752, 0.48147, 0.463, 0.44737, 0.42889, 0.4232, 0.41184, 0.39053, 0.3749, 0.3607, 0.34507, 0.33086, 0.31666, 0.30388, 0.29678, 0.28685, 0.27549, 0.26699, 0.25848, 0.25282, 0.24715, 0.24434, 0.24437, 0.24298, 0.24158, 0.2402, 0.24023, 0.23884, 0.23745, 0.23606, 0.23606, 0.2361, 0.23329, 0.23332, 0.23193, 0.23054, 0.23057, 0.22989] # plt.plot(t_ds_re_entrant_45, Ks_re_entrant_45) obj = UnivariateSpline(t_ds_re_entrant_45, Ks_re_entrant_45, s=1e-4) t_ds_re_entrant_45_long = np.linspace(0, 0.3, 1000) # plt.plot(t_ds_re_entrant_45_long, obj(t_ds_re_entrant_45_long)) fun = chebfun(f=obj, domain=[0,.3], N=15) # plt.plot(t_ds_re_entrant_45_long, fun(t_ds_re_entrant_45_long), '--') # plt.show() coeffs = chebfun_to_poly(fun) assert_allclose(coeffs, entrance_distance_45_Miller_coeffs) def test_entrance_rounded_Miller_coefficients(): from fluids.fittings import entrance_rounded_Miller_coeffs path = os.path.join(fluids_data_dir, 'Miller 2E 1990 entrances rounded beveled K.csv') lines = open(path).readlines() _, ratios, Ks = Engauge_2d_parser(lines) ratios_45, ratios_30, ratios_round = ratios Ks_45, Ks_30, Ks_round = Ks # plt.plot(ratios_round, Ks_round) t_ds2 = np.linspace(ratios_round[0], ratios_round[1], 1000) # Ks_Rennels = [entrance_rounded(Di=1, rc=t) for t in t_ds2] # plt.plot(t_ds2, Ks_Rennels) obj = UnivariateSpline(ratios_round, Ks_round, s=6e-5) # plt.plot(t_ds2, obj(t_ds2)) fun = chebfun(f=obj, domain=[0,.3], N=8) # plt.plot(t_ds2, fun(t_ds2), '--') # plt.show() coeffs = chebfun_to_poly(fun) assert_allclose(coeffs, entrance_rounded_Miller_coeffs) ### Bends def test_bend_rounded_Crane_coefficients(): from fluids.fittings import bend_rounded_Crane_ratios, bend_rounded_Crane_fds, bend_rounded_Crane_coeffs bend_rounded_Crane_obj = UnivariateSpline(bend_rounded_Crane_ratios, bend_rounded_Crane_fds, s=0) fun = chebfun(f=bend_rounded_Crane_obj, domain=[1,20], N=10) coeffs = chebfun_to_poly(fun) assert_allclose(coeffs, bend_rounded_Crane_coeffs) xs = np.linspace(1, 20, 2000) diffs = (abs(fun(xs)-bend_rounded_Crane_obj(xs))/bend_rounded_Crane_obj(xs)) assert np.max(diffs) < .02 assert np.mean(diffs) < .002 @pytest.mark.slow def test_bend_rounded_Miller_K_coefficients(): from fluids import fluids_data_dir from fluids.core import Engauge_2d_parser from fluids.fittings import tck_bend_rounded_Miller Kb_curve_path = os.path.join(fluids_data_dir, 'Miller 2E 1990 smooth bends Kb.csv') lines = open(Kb_curve_path).readlines() all_zs, all_xs, all_ys = Engauge_2d_parser(lines, flat=True) tck_recalc = bisplrep(all_xs, all_ys, all_zs, kx=3, ky=3, s=.001) # Different platforms don't generate the same coefficients at all # and that is OK # [assert_allclose(i, j) for i, j in zip(tck_bend_rounded_Miller, tck_recalc)] @pytest.mark.slow def test_bend_rounded_Miller_Re_correction(): from fluids import fluids_data_dir from fluids.core import Engauge_2d_parser from fluids.fittings import tck_bend_rounded_Miller_C_Re Re_curve_path = os.path.join(fluids_data_dir, 'Miller 2E 1990 smooth bends Re correction.csv') text = open(Re_curve_path).readlines() rds, Re_lists, C_lists = Engauge_2d_parser(text) inter_objs = [] for rd, Res, Cs in zip(rds, Re_lists, C_lists): univar = UnivariateSpline(np.log10(Res), Cs) # Default smoothing is great! inter_objs.append(univar) for i, (rd, Res, Cs) in enumerate(zip(rds, Re_lists, C_lists)): # plt.semilogx(Res, Cs) univar = inter_objs[i] Cs_smoothed = univar(np.log10(Res)) # plt.semilogx(Res, Cs_smoothed) # print(univar.get_coeffs(), univar.get_knots()) # plt.show() # make a rectangular grid Res = np.logspace(np.log10(1E4), np.log10(1E8), 100) Cs_stored = [] for obj in inter_objs: Cs_smoothed = obj(np.log10(Res)) # plt.semilogx(Res, Cs_smoothed) Cs_stored.append(Cs_smoothed) # plt.show() # Flatten the data to the form used in creating the spline all_zs = [] all_xs = [] all_ys = [] for z, x, ys in zip(rds, Res, Cs_stored): for x, y in zip(Res, ys): all_zs.append(z) all_xs.append(x) all_ys.append(y) tck_recalc = bisplrep(np.log10(all_xs), all_zs, all_ys) [assert_allclose(i, j) for i, j in zip(tck_bend_rounded_Miller_C_Re, tck_recalc)] spline_obj = lambda Re, r_D : bisplev(np.log10(Re), r_D, tck_recalc) Res = np.logspace(np.log10(1E4), np.log10(1E8), 100) for obj, r_d in zip(inter_objs, rds): Cs_smoothed = obj(np.log10(Res)) # plt.semilogx(Res, Cs_smoothed) # Cs_spline = spline_obj(Res, r_d) # plt.semilogx(Res, Cs_spline, '--') for r in np.linspace(1, 2, 10): Cs_spline = spline_obj(Res, r) # plt.semilogx(Res, Cs_spline, '-') # plt.show() from fluids.fittings import bend_rounded_Miller_C_Re_limit_1 from fluids.fittings import bend_rounded_Miller_C_Re ps = np.linspace(1, 2) qs = [newton(lambda x: bend_rounded_Miller_C_Re(x, i)-1, 2e5) for i in ps] rs = np.polyfit(ps, qs, 4).tolist() assert_allclose(rs, bend_rounded_Miller_C_Re_limit_1) @pytest.mark.slow def test_bend_rounded_Miller_outlet_tangent_correction(): from fluids.fittings import tck_bend_rounded_Miller_C_Re Re_curve_path = os.path.join(fluids_data_dir, 'Miller 2E 1990 smooth bends outlet tangent length correction.csv') text = open(Re_curve_path).readlines() Kbs, length_ratio_lists, Co_lists = Engauge_2d_parser(text) def BioScience_GeneralizedSubstrateDepletion_model(x_in): '''Fit created using zunzun.com, comparing the non-linear, non-logarithmic plot values with pixel positions on the graph. 0 0.00 1 311 2 493 4 721 6 872 10 1074 20 1365 30 1641 40 1661 ''' temp = 0.0 a = 1.0796070184265327E+03 b = 2.7557612059844967E+00 c = -2.1529870432577212E+01 d = 4.1229208061974096E-03 temp = (a * x_in) / (b + x_in) - (c * x_in) - d return temp def fix(y): # Reverse the plot # Convert input "y" to between 0 and 1661 y = y/30 # 0-1 linear y *= 1641 # to max err = lambda x: BioScience_GeneralizedSubstrateDepletion_model(x) - y return float(fsolve(err, 1)) for values in length_ratio_lists: for i in range(len(values)): x = min(values[i], 30) # Do not allow values over 30 values[i] = fix(x) # Plotting code # inter_objs = [] # for Kb, lrs, Cos in zip(Kbs, length_ratio_lists, Co_lists): # univar = UnivariateSpline(lrs, Cos, s=4e-4) # Default smoothing is great! # inter_objs.append(univar) # for i, (Kb, lrs, Cos) in enumerate(zip(Kbs, length_ratio_lists, Co_lists)): # plt.semilogx(lrs, Cos, 'x') # univar = inter_objs[i] # Cs_smoothed = univar(lrs) # plt.semilogx(lrs, Cs_smoothed) # plt.ylim([0.3, 3]) # plt.xlim([0.1, 30]) # plt.show() # Code to literally write the code min_vals = [] tcks = [] for Kb, lrs, Cos in zip(Kbs, length_ratio_lists, Co_lists): univar = splrep(lrs, Cos, s=4e-4) # Default smoothing is great! s = ('tck_bend_rounded_Miller_C_o_%s = ' %str(Kb).replace('.', '_')) template = 'np.array(%s),\n' t1 = template%str(univar[0].tolist()) t2 = template%str(univar[1].tolist()) s = s + '[%s%s3]' %(t1, t2) # print(s) min_vals.append(float(splev(0.01, univar))) tcks.append(univar) # Check the fixed constants above the function from fluids.fittings import tck_bend_rounded_Miller_C_os for tck, tck_recalc in zip(tck_bend_rounded_Miller_C_os, tcks): [assert_allclose(i, j) for i, j in zip(tck, tck_recalc)] from fluids.fittings import bend_rounded_Miller_C_o_limit_0_01 assert_allclose(min_vals, bend_rounded_Miller_C_o_limit_0_01) from fluids.fittings import bend_rounded_Miller_C_o_limits max_ratios = [i[-1] for i in length_ratio_lists] assert_allclose(max_ratios, bend_rounded_Miller_C_o_limits) def test_bend_miter_Miller_coefficients(): from fluids.optional.pychebfun import chebfun, chebfun_to_poly curve_path = os.path.join(fluids_data_dir, 'Miller 2E 1990 Kb mitre bend.csv') text = open(curve_path).readlines() zs, x_lists, y_lists = Engauge_2d_parser(text) x_raw, y_raw = x_lists[0], y_lists[0] univar = UnivariateSpline(x_raw, y_raw, s=1e-4) fun = chebfun(f=univar, domain=[0,120], N=15) # 15 max for many coeffs recalc_coeffs = chebfun_to_poly(fun) from fluids.fittings import bend_miter_Miller_coeffs assert_allclose(bend_miter_Miller_coeffs, recalc_coeffs) def test_diffuser_conical_Idelchik_coefficients(): from fluids.fittings import diffuser_conical_Idelchik_tck, diffuser_conical_Idelchik_angles, diffuser_conical_Idelchik_A_ratios, diffuser_conical_Idelchik_data diffuser_conical_Idelchik_obj = RectBivariateSpline(np.array(diffuser_conical_Idelchik_A_ratios), np.array(diffuser_conical_Idelchik_angles), np.array(diffuser_conical_Idelchik_data), kx=3, ky=1) [assert_allclose(i, j) for i, j in zip(diffuser_conical_Idelchik_obj.tck, diffuser_conical_Idelchik_tck)] def test_entrance_rounded_Idelchik_coeffs(): from fluids.fittings import entrance_rounded_ratios_Idelchik, entrance_rounded_Ks_Idelchik, entrance_rounded_Idelchik_tck tck_refit = splrep(entrance_rounded_ratios_Idelchik, entrance_rounded_Ks_Idelchik, s=0, k=2) [assert_allclose(i, j, rtol=1e-3) for i, j in zip(tck_refit, entrance_rounded_Idelchik_tck)] #entrance_rounded_Idelchik = UnivariateSpline(entrance_rounded_ratios_Idelchik, # entrance_rounded_Ks_Idelchik, # s=0, k=2, ext=3) # def test_entrance_rounded_Harris_coeffs(): from fluids.fittings import entrance_rounded_ratios_Harris, entrance_rounded_Ks_Harris, entrance_rounded_Harris_tck tck_refit = splrep(entrance_rounded_ratios_Harris, entrance_rounded_Ks_Harris, s=0, k=2) [assert_allclose(i, j, rtol=1e-3) for i, j in zip(tck_refit, entrance_rounded_Harris_tck)] #entrance_rounded_Harris = UnivariateSpline(entrance_rounded_ratios_Harris, # entrance_rounded_Ks_Harris, # s=0, k=2, ext=3) def test_entrance_distance_Harris_coeffs(): from fluids.fittings import( entrance_distance_Harris_t_Di, entrance_distance_Harris_Ks, entrance_distance_Harris_tck) tck_refit = splrep(entrance_distance_Harris_t_Di, entrance_distance_Harris_Ks, s=0, k=3) [assert_allclose(i, j, rtol=1e-3) for i, j in zip(tck_refit, entrance_distance_Harris_tck)] #entrance_distance_Harris_obj = UnivariateSpline(entrance_distance_Harris_t_Di, # entrance_distance_Harris_Ks, # s=0, k=3) fluids-1.0.22/tests/test_atmosphere.py0000644000175000017500000003743514302004506017340 0ustar nileshnilesh# -*- coding: utf-8 -*- '''Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2016, 2017, 2018 Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.''' import os from fluids.atmosphere import * import fluids from fluids.numerics import assert_close, assert_close1d, assert_close2d import fluids.optional try: from datetime import datetime, timedelta except: pass import pytest try: import pvlib has_pvlib = True except: has_pvlib = False try: import pytz except: pass from fluids.atmosphere import ATMOSPHERE_1976, hwm93, hwm14, airmass def test_ATMOSPHERE_1976(): # Test values from 'Atmosphere to 86 Km by 2 Km (SI units)', from # http://ckw.phys.ncku.edu.tw/public/pub/Notes/Languages/Fortran/FORSYTHE/www.pdas.com/m1.htm # as provided in atmtabs.html in http://www.pdas.com/atmosdownload.html H_1 = [-2000, 0, 2000, 4000, 6000, 8000, 10000, 12000, 14000, 16000, 18000, 20000, 22000, 24000, 26000, 28000, 30000, 32000, 34000, 36000, 38000, 40000, 42000, 44000, 46000, 48000, 50000, 52000, 54000, 56000, 58000, 60000, 62000, 64000, 66000, 68000, 70000, 72000, 74000, 76000, 78000, 80000, 82000, 84000, 86000] T_1 = [301.15, 288.15, 275.15, 262.17, 249.19, 236.22, 223.25, 216.65, 216.65, 216.65, 216.65, 216.65, 218.57, 220.56, 222.54, 224.53, 226.51, 228.49, 233.74, 239.28, 244.82, 250.35, 255.88, 261.4, 266.92, 270.65, 270.65, 269.03, 263.52, 258.02, 252.52, 247.02, 241.53, 236.04, 230.55, 225.07, 219.58, 214.26, 210.35, 206.45, 202.54, 198.64, 194.74, 190.84, 186.95] P_1 = [127780, 101320, 79501, 61660, 47218, 35652, 26500, 19399, 14170, 10353, 7565.2, 5529.3, 4047.5, 2971.7, 2188.4, 1616.2, 1197, 889.06, 663.41, 498.52, 377.14, 287.14, 219.97, 169.5, 131.34, 102.3, 79.779, 62.215, 48.338, 37.362, 28.724, 21.959, 16.689, 12.606, 9.4609, 7.0529, 5.2209, 3.8363, 2.8009, 2.0333, 1.4674, 1.0525, 0.75009, 0.53104, 0.37338] rho_1 = [1.4782, 1.225, 1.0066, 0.81935, 0.66011, 0.52579, 0.41351, 0.31194, 0.22786, 0.16647, 0.12165, 0.08891, 0.06451, 0.046938, 0.034257, 0.025076, 0.01841, 0.013555, 0.0098874, 0.0072579, 0.0053666, 0.0039957, 0.0029948, 0.0022589, 0.0017141, 0.0013167, 0.0010269, 0.00080562, 0.000639, 0.00050445, 0.00039626, 0.00030968, 0.00024071, 0.00018605, 0.00014296, 0.00010917, 0.000082829, 0.000062373, 0.000046385, 0.000034311, 0.000025239, 0.000018458, 0.000013418, 9.6939E-006, 6.9578E-006] c_1 = [347.89, 340.29, 332.53, 324.59, 316.45, 308.11, 299.53, 295.07, 295.07, 295.07, 295.07, 295.07, 296.38, 297.72, 299.06, 300.39, 301.71, 303.02, 306.49, 310.1, 313.67, 317.19, 320.67, 324.12, 327.52, 329.8, 329.8, 328.81, 325.43, 322.01, 318.56, 315.07, 311.55, 307.99, 304.39, 300.75, 297.06, 293.44, 290.75, 288.04, 285.3, 282.54, 279.75, 276.94, 274.1] mu_1 = [0.000018515, 0.000017894, 0.00001726, 0.000016612, 0.000015949, 0.000015271, 0.000014577, 0.000014216, 0.000014216, 0.000014216, 0.000014216, 0.000014216, 0.000014322, 0.00001443, 0.000014538, 0.000014646, 0.000014753, 0.000014859, 0.00001514, 0.000015433, 0.000015723, 0.000016009, 0.000016293, 0.000016573, 0.000016851, 0.000017037, 0.000017037, 0.000016956, 0.00001668, 0.000016402, 0.000016121, 0.000015837, 0.000015551, 0.000015262, 0.00001497, 0.000014675, 0.000014377, 0.000014085, 0.000013868, 0.00001365, 0.00001343, 0.000013208, 0.000012985, 0.00001276, 0.000012533] Ts = [ATMOSPHERE_1976(Z).T for Z in H_1] assert_close1d(Ts, T_1, atol=0.005) Ps = [ATMOSPHERE_1976(Z).P for Z in H_1] assert_close1d(Ps, P_1, rtol=5E-5) rhos = [ATMOSPHERE_1976(Z).rho for Z in H_1] assert_close1d(rhos, rho_1, rtol=5E-5) cs = [ATMOSPHERE_1976(Z).v_sonic for Z in H_1] assert_close1d(cs, c_1, rtol=5E-5) mus = [ATMOSPHERE_1976(Z).mu for Z in H_1] assert_close1d(mus, mu_1, rtol=5E-5) assert_close(ATMOSPHERE_1976(1000, dT=1).T, 282.6510223716947) # Check thermal conductivity with: http://www.aerospaceweb.org/design/scripts/atmosphere/ assert_close(ATMOSPHERE_1976(1000).k, 0.0248133634493) # Other possible additions: # mean air particle speed; mean collision frequency; mean free path; mole volume; total number density delta_P = ATMOSPHERE_1976.pressure_integral(288.6, 84100.0, 147.0) assert_close(delta_P, 1451.9583061008857) def test_airmass(): m = airmass(lambda Z : ATMOSPHERE_1976(Z).rho, 90) assert_close(m, 10356.127665863998) # vs 10356 m = airmass(lambda Z : ATMOSPHERE_1976(Z).rho, 60) assert_close(m, 11954.138271601627) # vs 11954 m = airmass(lambda Z : ATMOSPHERE_1976(Z).rho, 5) assert_close(m, 106861.56335489497) # vs 106837 m = airmass(lambda Z : ATMOSPHERE_1976(Z).rho, .1) assert_close(m, 379082.24065519444, rtol=1e-6) # vs 378596 # airmass(lambda Z : ATMOSPHERE_1976(Z).rho, .1, RI=1.0016977377367) # As refractive index increases, the atmospheric mass increases drastically. An exception is being raised numerically, not sure why # 7966284.95792788 - that's an 800x atmospheric increase. hwm93_compiled = True try: # Just check if works hwm93(5E5, 45.0, 50.0, 365.0) except: hwm93_compiled = False hwm14_compiled = True try: hwm14(11000.0, latitude=-45.0, longitude=-85.0, day=150, seconds=12*3600.0, geomagnetic_disturbance_index=80.0) except: hwm14_compiled = False @pytest.mark.f2py @pytest.mark.skipif(not hwm93_compiled, reason='hwm93 model is not built') def test_hwm93(): # pass on systems without f2py for now custom = hwm93(5E5, 45.0, 50.0, 365.0) assert_close1d(custom, [-73.00312042236328, 0.1485661268234253]) # Test from pyhwm93 ans = hwm93(Z=150E3, latitude=65.0, longitude=-148.0, day=90.0, seconds=12*3600.0, f107=100., f107_avg=100., geomagnetic_disturbance_index=4.0) assert_close1d(ans, [-110.16133880615234, -12.400712013244629]) @pytest.mark.f2py @pytest.mark.skipif(not hwm14_compiled, reason='hwm14 model is not built') def test_hwm14(): # Data in checkhwm14.f90; all checks out. # Disturbance wind model checks are not separately implemented. # Height profile HEIGHTS = [0, 25, 50, 75, 100, 125, 150, 175, 200, 225, 250, 275, 300, 325, 350, 375, 400] HEIGHT_PROFILE_MER = [0.031, 2.965, -6.627, 2.238, -14.253, 37.403, 42.789, 20.278, 25.027, 34.297, 40.408, 44.436, 47.092, 48.843, 49.997, 50.758, 51.259] HEIGHT_PROFILE_ZON = [6.271, 25.115, 96.343, 44.845, 31.59, 11.628, -33.319, -49.984, -68.588, -80.022, -87.56, -92.53, -95.806, -97.965, -99.389, -100.327, -100.946] winds = [hwm14(alt*1000.0, latitude=-45.0, longitude=-85.0, day=150.0, seconds=12*3600.0, geomagnetic_disturbance_index=80.0) for alt in HEIGHTS] winds = [[round(i, 3) for i in j] for j in winds] MER_CALC = [i[0] for i in winds] ZON_CALC = [i[1] for i in winds] assert_close1d(MER_CALC, HEIGHT_PROFILE_MER) assert_close1d(ZON_CALC, HEIGHT_PROFILE_ZON) # Latitude profile LATS = [-90, -80, -70, -60, -50, -40, -30, -20, -10, 0, 10, 20, 30, 40, 50, 60, 70, 80, 90] LAT_PROFILE_MER = [-124.197, -150.268, -124.54, -23.132, 31.377, 39.524, 56.305, 60.849, 58.117, 56.751, 51.048, 35.653, 14.832, 1.068, -2.749, -27.112, -91.199, -186.757, -166.717] LAT_PROFILE_ZON = [177.174, 63.864, -71.971, -105.913, -28.176, 36.532, 32.79, 34.341, 72.676, 110.18, 111.472, 90.547, 77.736, 74.993, 41.972, -140.557, 3.833, 179.951, 235.447] winds = [hwm14(250E3, latitude=LAT, longitude=30, day=305, seconds=18*3600, geomagnetic_disturbance_index=48) for LAT in LATS] winds = [[round(i, 3) for i in j] for j in winds] MER_CALC = [i[0] for i in winds] ZON_CALC = [i[1] for i in winds] assert_close1d(MER_CALC, LAT_PROFILE_MER) assert_close1d(ZON_CALC, LAT_PROFILE_ZON) # Time of day profile: Note the data is specified in terms of local time TIMES_LT = [0, 1.5, 3, 4.5, 6, 7.5, 9, 10.5, 12, 13.5, 15, 16.5, 18, 19.5, 21, 22.5, 24] TIMES = [(lt_hour+70/15.)*3600 for lt_hour in TIMES_LT] TIME_PROFILE_MER = [6.564, 28.79, 22.316, -4.946, -23.175, -11.278, 17.57, 34.192, 26.875, 9.39, -1.362, -7.168, -21.035, -41.123, -46.702, -27.048, 6.566] TIME_PROFILER_ZON = [-40.187, -54.899, -57.187, -47.936, -41.468, -43.648, -49.691, -44.868, -22.542, 2.052, 4.603, -24.13, -66.38, -83.942, -60.262, -36.616, -40.145] winds = [hwm14(125E3, latitude=45, longitude=-70, day=75, seconds=TIME, geomagnetic_disturbance_index=30) for TIME in TIMES] winds = [[round(i, 3) for i in j] for j in winds] MER_CALC = [i[0] for i in winds] ZON_CALC = [i[1] for i in winds] assert_close1d(MER_CALC, TIME_PROFILE_MER) assert_close1d(ZON_CALC, TIME_PROFILER_ZON) # Longitude profile LONGS = [-180, -160, -140, -120, -100, -80, -60, -40, -20, 0, 20, 40, 60, 80, 100, 120, 140, 160, 180] LONG_PROFILE_MER = [-0.757, -0.592, 0.033, 0.885, 1.507, 1.545, 1.041, 0.421, 0.172, 0.463, 1.049, 1.502, 1.552, 1.232, 0.757, 0.288, -0.146, -0.538, -0.757] LONG_PROFILE_ZON = [-16.835, -18.073, -20.107, -22.166, -22.9, -21.649, -19.089, -16.596, -14.992, -13.909, -12.395, -10.129, -7.991, -7.369, -8.869, -11.701, -14.359, -15.945, -16.835] winds = [hwm14(40E3, latitude=-5, longitude=LONG, day=330, seconds=6*3600, geomagnetic_disturbance_index=4) for LONG in LONGS] winds = [[round(i, 3) for i in j] for j in winds] MER_CALC = [i[0] for i in winds] ZON_CALC = [i[1] for i in winds] assert_close1d(MER_CALC, LONG_PROFILE_MER) assert_close1d(ZON_CALC, LONG_PROFILE_ZON) # Day of year profile DAYS = [0, 20, 40, 60, 80, 100, 120, 140, 160, 180, 200, 220, 240, 260, 280, 300, 320, 340, 360] DAY_PROFILE_MER = [1.57, -5.43, -13.908, -22.489, -30.844, -39.415, -48.717, -58.582, -67.762, -74.124, -75.371, -70.021, -58.19, -41.813, -24.159, -8.838, 1.319, 5.064, 2.908] DAY_PROFILE_ZON = [-42.143, -36.947, -29.927, -23.077, -17.698, -14.016, -11.35, -8.72, -5.53, -2.039, 0.608, 0.85, -2.529, -9.733, -19.666, -30.164, -38.684, -43.208, -42.951] winds = [hwm14(200E3, latitude=-65, longitude=-135, day=DAY, seconds=21*3600, geomagnetic_disturbance_index=15) for DAY in DAYS] winds = [[round(i, 3) for i in j] for j in winds] MER_CALC = [i[0] for i in winds] ZON_CALC = [i[1] for i in winds] assert_close1d(MER_CALC, DAY_PROFILE_MER) assert_close1d(ZON_CALC, DAY_PROFILE_ZON) # Magnetic strength profile APS = [0, 20, 40, 60, 80, 100, 120, 140, 160, 180, 200, 220, 240, 260] AP_PROFILE_MER = [18.63, 11.026, -0.395, -9.121, -13.965, -16.868, -18.476, -19.38, -19.82, -19.887, -19.685, -19.558, -19.558, -19.558] AP_PROFILE_ZON = [-71.801, -69.031, -83.49, -96.899, -104.811, -109.891, -112.984, -114.991, -116.293, -116.99, -117.22, -117.212, -117.212, -117.212] winds = [hwm14(350E3, latitude=38, longitude=125, day=280, seconds=21*3600, geomagnetic_disturbance_index=AP) for AP in APS] winds = [[round(i, 3) for i in j] for j in winds] MER_CALC = [i[0] for i in winds] ZON_CALC = [i[1] for i in winds] assert_close1d(MER_CALC, AP_PROFILE_MER) assert_close1d(ZON_CALC, AP_PROFILE_ZON) @pytest.mark.pytz def test_solar_position(): pos = solar_position(pytz.timezone('Australia/Perth').localize(datetime(2020, 6, 6, 7, 10, 57)), -31.95265, 115.85742) pos_expect = [90.89617025931763, 90.89617025931763, -0.8961702593176304, -0.8961702593176304, 63.60160176917509, 79.07112321438035] assert_close1d(pos, pos_expect, rtol=1e-9) pos = solar_position(pytz.timezone('Australia/Perth').localize(datetime(2020, 6, 6, 14, 30, 0)), -31.95265, 115.85742) pos_expect = [63.40805686233129, 63.44000181582068, 26.591943137668704, 26.559998184179317, 325.1213762464115, 75.74674754854641] assert_close1d(pos, pos_expect, rtol=1e-9) pos = solar_position(datetime(2020, 6, 6, 14, 30, 0) - timedelta(hours=8), -31.95265, 115.85742) pos_expect = [63.40805686233129, 63.44000181582068, 26.591943137668704, 26.559998184179317, 325.1213762464115, 75.74674754854641] assert_close1d(pos, pos_expect, rtol=1e-9) local_time = datetime(2018, 4, 15, 6, 43, 5) local_time = pytz.timezone('America/Edmonton').localize(local_time) assert_close(solar_position(local_time, 51.0486, -114.07)[0], 90.00054676987014, rtol=1e-9) pos = solar_position(pytz.timezone('America/Edmonton').localize(datetime(2018, 4, 15, 20, 30, 28)), 51.0486, -114.07) pos_expect = [89.9995695661236, 90.54103812161853, 0.00043043387640950836, -0.5410381216185247, 286.8313781904518, 6.631429525878048] assert_close1d(pos, pos_expect, rtol=1e-9) @pytest.mark.pytz def test_earthsun_distance(): dt = earthsun_distance(datetime(2003, 10, 17, 13, 30, 30)) assert_close(dt, 149090925951.18338, rtol=1e-10) dt = earthsun_distance(datetime(2013, 1, 1, 21, 21, 0, 0)) assert_close(dt, 147098127628.8943, rtol=1e-10) dt = earthsun_distance(datetime(2013, 7, 5, 8, 44, 0, 0)) assert_close(dt, 152097326908.20578, rtol=1e-10) assert_close(earthsun_distance(pytz.timezone('America/Edmonton').localize(datetime(2020, 6, 6, 10, 0, 0, 0))), 151817805599.67142, rtol=1e-10) assert_close(earthsun_distance(datetime(2020, 6, 6, 10, 0, 0, 0)), 151812898579.44104, rtol=1e-10) @pytest.mark.pytz def test_solar_irradiation(): ans = solar_irradiation(Z=1100.0, latitude=51.0486, longitude=-114.07, linke_turbidity=3, moment=datetime(2018, 4, 15, 19, 43, 5), surface_tilt=41.0, surface_azimuth=180.0) ans_expect = [1065.7622492480543, 945.2657257434173, 120.49652350463705, 95.31534254980346, 25.18118095483359] assert_close1d(ans, ans_expect, rtol=1e-5) @pytest.mark.pytz def test_solar_irradiation_pytz(): import pytz # Providing linke_turbidity always saves .1 seconds on unit testing from loading database ans = solar_irradiation(Z=1100.0, latitude=51.0486, longitude=-114.07, linke_turbidity=3, moment=pytz.timezone('America/Edmonton').localize(datetime(2018, 4, 15, 13, 43, 5)), surface_tilt=41.0, surface_azimuth=180.0) ans_expect = [1065.7622492480543, 945.2657257434173, 120.49652350463705, 95.31534254980346, 25.18118095483359] assert_close1d(ans, ans_expect, rtol=1e-5) @pytest.mark.pytz def test_sunrise_sunset(): sunrise, sunset, transit = sunrise_sunset(datetime(2018, 4, 17, 13, 43, 5), 51.0486, -114.07) sunrise_expected = datetime(2018, 4, 17, 12, 36, 55, 782660) sunset_expected = datetime(2018, 4, 18, 2, 34, 4, 249326) transit_expected = datetime(2018, 4, 17, 19, 35, 46, 686265) assert sunrise == sunrise_expected assert sunset == sunset_expected assert transit == transit_expected @pytest.mark.pytz def test_sunrise_sunset_pytz(): calgary = pytz.timezone('America/Edmonton') sunrise, sunset, transit = sunrise_sunset(calgary.localize(datetime(2018, 4, 17)), 51.0486, -114.07) assert sunrise == calgary.localize(datetime(2018, 4, 16, 6, 39, 1, 570479)) assert sunset == calgary.localize(datetime(2018, 4, 16, 20, 32, 25, 778162)) assert transit == calgary.localize(datetime(2018, 4, 16, 13, 36, 0, 386341)) fluids-1.0.22/tests/test_vectorized.py0000644000175000017500000000376114302004506017342 0ustar nileshnilesh# -*- coding: utf-8 -*- '''Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2016, 2017 Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.''' from __future__ import division from fluids.vectorized import * from fluids import * from numpy.testing import assert_allclose import pytest import fluids.vectorized import numpy as np def test_a_complicated_function(): orig = [fluids.integrate_drag_sphere(D=D, rhop=rhop, rho=1.2, mu=1.78E-5, t=0.5, V=30, distance=True) for D, rhop in zip([0.002, 0.001], [2200., 2300])] ans_vect = fluids.vectorized.integrate_drag_sphere(D=[0.002, 0.001], rhop=[2200., 2300], rho=1.2, mu=1.78E-5, t=0.5, V=30, distance=True) # Note the transpose requirement to match! ans_vect = np.array(ans_vect).T assert_allclose(ans_vect, orig) def test_Morsi_Alexander(): Cds = [Morsi_Alexander(i) for i in [500, 5000, 5000]] Cds_vect = fluids.vectorized.Morsi_Alexander([500, 5000, 5000]) assert_allclose(Cds, Cds_vect) fluids-1.0.22/tests/test_saltation.py0000644000175000017500000000476114302004506017163 0ustar nileshnilesh# -*- coding: utf-8 -*- '''Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2016, 2017 Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.''' from fluids.saltation import * from fluids.numerics import assert_close, assert_close1d import pytest def test_Rizk(): V1 = Rizk(0.25, 100E-6, 1.2, 0.078) assert_close(V1, 9.8833092829357) def test_Matsumoto_1974(): V2 = Matsumoto_1974(mp=1., rhop=1000., dp=1E-3, rhog=1.2, D=0.1, Vterminal=5.24) assert_close(V2, 19.583617317317895) def test_Matsumoto_1975(): V3 = Matsumoto_1975(mp=1., rhop=1000., dp=1E-3, rhog=1.2, D=0.1, Vterminal=5.24) assert_close(V3, 18.04523091703009) def test_Matsumoto_1977(): V1 = Matsumoto_1977(mp=1., rhop=1000., dp=1E-3, rhog=1.2, D=0.1, Vterminal=5.24) V2 = Matsumoto_1977(mp=1., rhop=600., dp=1E-3, rhog=1.2, D=0.1, Vterminal=5.24) assert_close1d([V1, V2], [16.64284834446686, 10.586175424073561]) def test_Schade(): V1 = Schade(mp=1., rhop=1000., dp=1E-3, rhog=1.2, D=0.1) assert_close(V1, 13.697415809497912) def test_Weber_saltation(): V1 = Weber_saltation(mp=1.0, rhop=1000., dp=1E-3, rhog=1.2, D=0.1, Vterminal=4.0) V2 = Weber_saltation(mp=1.0, rhop=1000., dp=1E-3, rhog=1.2, D=0.1, Vterminal=2.0) assert_close1d([V1, V2], [15.227445436331474, 13.020222930460088]) def test_Geldart_Ling(): V1 = Geldart_Ling(1., 1.2, 0.1, 2E-5) V2 = Geldart_Ling(50., 1.2, 0.1, 2E-5) assert_close1d([V1, V2], [7.467495862402707, 44.01407469835619])fluids-1.0.22/tests/test_open_flow.py0000644000175000017500000000552114302004506017150 0ustar nileshnilesh# -*- coding: utf-8 -*- '''Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2016, 2017 Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.''' from __future__ import division from fluids.open_flow import * from fluids.numerics import assert_close, assert_close1d import pytest def test_open_flow(): Q1 = Q_weir_V_Shen(0.6, angle=45) Q2 = Q_weir_V_Shen(1.2) assert_close1d([Q1, Q2], [0.21071725775478228, 2.8587083148501078]) Q1 = Q_weir_rectangular_Kindsvater_Carter(0.2, 0.5, 1.0) assert_close(Q1, 0.15545928949179422) Q1 = Q_weir_rectangular_SIA(0.2, 0.5, 1.0, 2.0) assert_close(Q1, 1.0408858453811165) Q1 = Q_weir_rectangular_full_Ackers(h1=0.9, h2=0.6, b=5.0) Q2 = Q_weir_rectangular_full_Ackers(h1=0.3, h2=0.4, b=2.0) assert_close1d([Q1, Q2], [9.251938159899948, 0.6489618999846898]) Q1 = Q_weir_rectangular_full_SIA(h1=0.3, h2=0.4, b=2.0) assert_close(Q1, 1.1875825055400384) Q1 = Q_weir_rectangular_full_Rehbock(h1=0.3, h2=0.4, b=2.0) assert_close(Q1, 0.6486856330601333) Q1 = Q_weir_rectangular_full_Kindsvater_Carter(h1=0.3, h2=0.4, b=2.0) assert_close(Q1, 0.641560300081563) V1 = V_Manning(0.2859, 0.005236, 0.03)*0.5721 V2 = V_Manning(0.2859, 0.005236, 0.03) V3 = V_Manning(Rh=5, S=0.001, n=0.05) assert_close1d([V1, V2, V3], [0.5988618058239864, 1.0467781958118971, 1.8493111942973235]) C = n_Manning_to_C_Chezy(0.05, Rh=5.0) assert_close(C, 26.15320972023661) n = C_Chezy_to_n_Manning(26.15, Rh=5.0) assert_close(n, 0.05000613713238358) V = V_Chezy(Rh=5.0, S=0.001, C=26.153) assert_close(V, 1.8492963648371776) n_tot = 0.0 for thing in n_dicts: for val in thing.values(): for vals in val.values(): n_tot += abs(sum(vals)) assert_close(n_tot, 11.115999999999984)fluids-1.0.22/tests/test_numba.py0000644000175000017500000010151014302004506016255 0ustar nileshnilesh# -*- coding: utf-8 -*- '''Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2020 Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.''' from __future__ import division import fluids from fluids import * import fluids.vectorized from math import * from fluids.constants import * from fluids.numerics import assert_close, assert_close1d import pytest try: import numba import fluids.numba import fluids.numba_vectorized except: numba = None import numpy as np from numpy.testing import assert_allclose try: import test_friction import test_utils except: from . import test_friction from . import test_utils def mark_as_numba(func): func = pytest.mark.numba(func) # func = pytest.mark.slow(func) func = pytest.mark.skipif(numba is None, reason="Numba is missing")(func) return func @mark_as_numba def test_normalize(): xs = np.array([1,2,3,4]) res = fluids.numba.normalize(xs) assert type(res) == np.ndarray @mark_as_numba def test_roughness_Farshad_numba(): assert_close(fluids.roughness_Farshad('Cr13, bare', 0.05), fluids.numba.roughness_Farshad('Cr13, bare', 0.05)) assert_close(fluids.roughness_Farshad('Cr13, bare'), fluids.numba.roughness_Farshad('Cr13, bare')) assert_close(fluids.roughness_Farshad(coeffs=(0.0021, -1.0055), D=0.05), fluids.numba.roughness_Farshad(coeffs=(0.0021, -1.0055), D=0.05)) @mark_as_numba def test_Clamond_numba(): assert_close(fluids.numba.Clamond(10000.0, 2.0), fluids.Clamond(10000.0, 2.0), rtol=5e-15) assert_close(fluids.numba.Clamond(10000.0, 2.0, True), fluids.Clamond(10000.0, 2.0, True), rtol=5e-15) assert_close(fluids.numba.Clamond(10000.0, 2.0, False), fluids.Clamond(10000.0, 2.0, False), rtol=5e-15) Res = np.array([1e5, 1e6]) eDs = np.array([1e-5, 1e-6]) fast = np.array([False]*2) assert_close1d(fluids.numba_vectorized.Clamond(Res, eDs, fast), fluids.vectorized.Clamond(Res, eDs, fast), rtol=1e-14) @mark_as_numba def test_string_error_message_outside_function(): fluids.numba.entrance_sharp('Miller') fluids.numba.entrance_sharp() fluids.numba.entrance_angled(30, 'Idelchik') fluids.numba.entrance_angled(30, None) fluids.numba.entrance_angled(30.0) @mark_as_numba def test_interp(): assert_close(fluids.numba.CSA_motor_efficiency(100*hp, closed=True, poles=6, high_efficiency=True), 0.95) # Should take ~10 us powers = np.array([70000]*100) closed = np.array([True]*100) poles = np.array([6]*100) high_efficiency = np.array([True]*100) fluids.numba_vectorized.CSA_motor_efficiency(powers, closed, poles, high_efficiency) assert_close(fluids.numba.bend_rounded_Crane(Di=.4020, rc=.4*5, angle=30), fluids.bend_rounded_Crane(Di=.4020, rc=.4*5, angle=30)) @mark_as_numba def test_constants(): assert_close(fluids.numba.K_separator_demister_York(975000), 0.09635076944244816) @mark_as_numba def test_calling_function_in_other_module(): assert_close(fluids.numba.ft_Crane(.5), 0.011782458726227104, rtol=1e-4) @mark_as_numba def test_None_is_not_multiplied_add_check_on_is_None(): assert_close(fluids.numba.polytropic_exponent(1.4, eta_p=0.78), 1.5780346820809246, rtol=1e-5) @mark_as_numba def test_core_from_other_module(): assert_close(fluids.numba.helical_turbulent_fd_Srinivasan(1E4, 0.01, .02), 0.0570745212117107) @mark_as_numba def test_string_branches(): # Currently slower assert_close(fluids.numba.C_Reader_Harris_Gallagher(D=0.07391, Do=0.0222, rho=1.165, mu=1.85E-5, m=0.12, taps='flange'), 0.5990326277163659) @mark_as_numba def test_interp_with_own_list(): assert_close(fluids.numba.dP_venturi_tube(D=0.07366, Do=0.05, P1=200000.0, P2=183000.0), 1788.5717754177406) @mark_as_numba def test_C_Reader_Harris_Gallagher_wet_venturi_tube_numba(): assert_close(fluids.numba.C_Reader_Harris_Gallagher_wet_venturi_tube(mg=5.31926, ml=5.31926/2, rhog=50.0, rhol=800., D=.1, Do=.06, H=1), 0.9754210845876333) @mark_as_numba def test_rename_constant(): assert_close(fluids.numba.friction_plate_Martin_1999(Re=20000, plate_enlargement_factor=1.15), 2.284018089834135) @mark_as_numba def test_list_in_list_constant_converted(): assert_close(fluids.numba.friction_plate_Kumar(Re=2000, chevron_angle=30), friction_plate_Kumar(Re=2000, chevron_angle=30)) @mark_as_numba def test_have_to_make_zero_division_a_check(): # Manually requires changes, and is unpythonic assert_close(fluids.numba.SA_ellipsoidal_head(2, 1.5), SA_ellipsoidal_head(2, 1.5)) @mark_as_numba def test_functions_used_to_return_different_return_value_signatures_changed(): assert_close1d(fluids.numba.SA_tank(D=1., L=5, sideA='spherical', sideA_a=0.5, sideB='spherical',sideB_a=0.5), SA_tank(D=1., L=5, sideA='spherical', sideA_a=0.5, sideB='spherical',sideB_a=0.5)) @mark_as_numba def test_Colebrook_ignored(): fd = fluids.numba.Colebrook(1e5, 1e-5) assert_close(fd, 0.018043802895063684, rtol=1e-14) # Not compatible with cache #@pytest.mark.numba #@pytest.mark.skipif(numba is None, reason="Numba is missing") #def test_secant_runs(): # # Really feel like the kwargs should work in object mode, but it doesn't # # Just gets slower # @numba.jit # def to_solve(x): # return sin(x*.3) - .5 # fluids.numba.secant(to_solve, .3, ytol=1e-10) # #@pytest.mark.numba #@pytest.mark.skipif(numba is None, reason="Numba is missing") #def test_brenth_runs(): # @numba.njit # def to_solve(x, goal): # return sin(x*.3) - goal # # ans = fluids.numba.brenth(to_solve, .3, 2, args=(.45,)) # assert_close(ans, 1.555884463490988) @mark_as_numba def test_lambertw_runs(): assert_close(fluids.numba.numerics.lambertw(5.0), 1.3267246652422002) assert_close(fluids.numba.Prandtl_von_Karman_Nikuradse(1e7), 0.008102669430874914) @mark_as_numba def test_ellipe_runs(): assert_close(fluids.numba.plate_enlargement_factor(amplitude=5E-4, wavelength=3.7E-3), 1.1611862034509677, rtol=1e-10) @mark_as_numba def test_control_valve_noise(): dB = fluids.numba.control_valve_noise_l_2015(m=40, P1=1E6, P2=6.5E5, Psat=2.32E3, rho=997, c=1400, Kv=77.848, d=0.1, Di=0.1071, FL=0.92, Fd=0.42, t_pipe=0.0036, rho_pipe=7800.0, c_pipe=5000.0,rho_air=1.293, c_air=343.0, An=-4.6) assert_close(dB, 81.58200097996539) dB = fluids.numba.control_valve_noise_g_2011(m=2.22, P1=1E6, P2=7.2E5, T1=450, rho=5.3, gamma=1.22, MW=19.8, Kv=77.85, d=0.1, Di=0.2031, FL=None, FLP=0.792, FP=0.98, Fd=0.296, t_pipe=0.008, rho_pipe=8000.0, c_pipe=5000.0, rho_air=1.293, c_air=343.0, An=-3.8, Stp=0.2) assert_close(dB, 91.67702674629604) @mark_as_numba def test_friction_factor(): # Bulk test of methods test_utils.swap_for_numba_test(test_friction.test_friction_basic) fluids.numba.friction_factor(1e5, 1e-3) assert_close(fluids.numba.friction.friction_factor(1e4, 1e-4, Method='Churchill_1973'), fluids.friction_factor(1e4, 1e-4, Method='Churchill_1973')) assert_close(fluids.numba.friction.friction_factor(1e4, 1e-4), fluids.friction_factor(1e4, 1e-4)) assert_close(fluids.numba.friction.friction_factor(1e2, 1e-4), fluids.friction_factor(1e2, 1e-4)) assert_close(fluids.numba.helical_Re_crit(Di=0.02, Dc=0.5), fluids.helical_Re_crit(Di=0.02, Dc=0.5)) assert_close(fluids.numba.transmission_factor(fd=0.0185), fluids.transmission_factor(fd=0.0185)) @mark_as_numba def test_AvailableMethods_removal(): assert_close(fluids.numba.friction_factor_curved(Re=1E5, Di=0.02, Dc=0.5), fluids.friction_factor_curved(Re=1E5, Di=0.02, Dc=0.5)) @mark_as_numba def test_bisplev_uses(): K = fluids.numba.entrance_beveled(Di=0.1, l=0.003, angle=45, method='Idelchik') assert_close(K, 0.39949999999999997) assert_close(fluids.numba.VFD_efficiency(100*hp, load=0.2), fluids.VFD_efficiency(100*hp, load=0.2)) @mark_as_numba def test_splev_uses(): methods = ['Rennels', 'Miller', 'Idelchik', 'Harris', 'Crane'] Ks = [fluids.numba.entrance_distance(Di=0.1, t=0.0005, method=m) for m in methods] Ks_orig = [fluids.fittings.entrance_distance(Di=0.1, t=0.0005, method=m) for m in methods] assert_close1d(Ks, Ks_orig) # Same speed assert_close(fluids.numba.entrance_rounded(Di=0.1, rc=0.0235), fluids.fittings.entrance_rounded(Di=0.1, rc=0.0235)) # Got 10x faster! no strings. assert_close(fluids.numba.bend_rounded_Miller(Di=.6, bend_diameters=2, angle=90, Re=2e6, roughness=2E-5, L_unimpeded=30*.6), fluids.bend_rounded_Miller(Di=.6, bend_diameters=2, angle=90, Re=2e6, roughness=2E-5, L_unimpeded=30*.6)) @mark_as_numba def test_misc_fittings(): methods = ['Rennels', 'Miller', 'Crane', 'Blevins'] assert_close1d([fluids.numba.bend_miter(Di=.6, angle=45, Re=1e6, roughness=1e-5, L_unimpeded=20, method=m) for m in methods], [fluids.fittings.bend_miter(Di=.6, angle=45, Re=1e6, roughness=1e-5, L_unimpeded=20, method=m) for m in methods]) assert_close(fluids.numba.contraction_round_Miller(Di1=1, Di2=0.4, rc=0.04), fluids.contraction_round_Miller(Di1=1, Di2=0.4, rc=0.04)) assert_close(fluids.numba.contraction_round(Di1=1, Di2=0.4, rc=0.04), fluids.contraction_round(Di1=1, Di2=0.4, rc=0.04)) assert_close(fluids.numba.contraction_beveled(Di1=0.5, Di2=0.1, l=.7*.1, angle=120), fluids.contraction_beveled(Di1=0.5, Di2=0.1, l=.7*.1, angle=120),) assert_close(fluids.numba.diffuser_pipe_reducer(Di1=.5, Di2=.75, l=1.5, fd1=0.07), fluids.diffuser_pipe_reducer(Di1=.5, Di2=.75, l=1.5, fd1=0.07),) assert_close(fluids.numba.K_gate_valve_Crane(D1=.1, D2=.146, angle=13.115), fluids.K_gate_valve_Crane(D1=.1, D2=.146, angle=13.115)) assert_close(fluids.numba.v_lift_valve_Crane(rho=998.2, D1=0.0627, D2=0.0779, style='lift check straight'), fluids.v_lift_valve_Crane(rho=998.2, D1=0.0627, D2=0.0779, style='lift check straight')) assert_close(fluids.numba.K_branch_converging_Crane(0.1023, 0.1023, 0.018917, 0.00633), fluids.K_branch_converging_Crane(0.1023, 0.1023, 0.018917, 0.00633),) assert_close(fluids.numba.bend_rounded(Di=4.020, rc=4.0*5, angle=30, Re=1E5), fluids.bend_rounded(Di=4.020, rc=4.0*5, angle=30, Re=1E5)) assert_close(fluids.numba.contraction_conical_Crane(Di1=0.0779, Di2=0.0525, l=0), fluids.contraction_conical_Crane(Di1=0.0779, Di2=0.0525, l=0)) assert_close(fluids.numba.contraction_conical(Di1=0.1, Di2=0.04, l=0.04, Re=1E6), fluids.contraction_conical(Di1=0.1, Di2=0.04, l=0.04, Re=1E6)) assert_close(fluids.numba.diffuser_conical(Di1=1/3., Di2=1.0, angle=50.0, Re=1E6), fluids.diffuser_conical(Di1=1/3., Di2=1.0, angle=50.0, Re=1E6)) assert_close(fluids.numba.diffuser_conical(Di1=1., Di2=10.,l=9, fd=0.01), fluids.diffuser_conical(Di1=1., Di2=10.,l=9, fd=0.01)) assert_close(fluids.numba.diffuser_conical_staged(Di1=1., Di2=10., DEs=np.array([2,3,4]), ls=np.array([1.1,1.2,1.3, 1.4]), fd=0.01), fluids.diffuser_conical_staged(Di1=1., Di2=10., DEs=np.array([2,3,4]), ls=np.array([1.1,1.2,1.3, 1.4]), fd=0.01)) assert_close(fluids.numba.K_globe_stop_check_valve_Crane(.1, .02, style=1), fluids.K_globe_stop_check_valve_Crane(.1, .02, style=1)) assert_close(fluids.numba.K_angle_stop_check_valve_Crane(.1, .02, style=1), fluids.K_angle_stop_check_valve_Crane(.1, .02, style=1)) assert_close(fluids.numba.K_diaphragm_valve_Crane(D=.1, style=0), fluids.K_diaphragm_valve_Crane(D=.1, style=0)) assert_close(fluids.numba.K_foot_valve_Crane(D=0.2, style=0), fluids.K_foot_valve_Crane(D=0.2, style=0)) assert_close(fluids.numba.K_butterfly_valve_Crane(D=.1, style=2), fluids.K_butterfly_valve_Crane(D=.1, style=2)) assert_close(fluids.numba.K_plug_valve_Crane(D1=.01, D2=.02, angle=50), fluids.K_plug_valve_Crane(D1=.01, D2=.02, angle=50)) # Darby and Hooper got slower because they don't a dict lookup assert_close(fluids.numba.Darby3K(NPS=2., Re=10000., name='Valve, Angle valve, 45°, full line size, β = 1'), fluids.Darby3K(NPS=2., Re=10000., name='Valve, Angle valve, 45°, full line size, β = 1')) assert_close(fluids.numba.Darby3K(NPS=12., Re=10000., K1=950, Ki=0.25, Kd=4), fluids.Darby3K(NPS=12., Re=10000., K1=950, Ki=0.25, Kd=4)) assert_close(fluids.numba.Hooper2K(Di=2., Re=10000., name='Valve, Globe, Standard'), fluids.Hooper2K(Di=2., Re=10000., name='Valve, Globe, Standard')) assert_close(fluids.numba.Hooper2K(Di=2., Re=10000., K1=900, Kinfty=4), fluids.Hooper2K(Di=2., Re=10000., K1=900, Kinfty=4)) # reported bug https://github.com/numba/numba/issues/6007 about this kwargs = dict(Di=.4020, rc=.4*5, angle=30.0) assert_close(fluids.numba.bend_rounded_Crane(**kwargs), fluids.bend_rounded_Crane(**kwargs)) @mark_as_numba def test_misc_filters_numba(): assert_close(fluids.numba.round_edge_screen(0.5, 100, 45), fluids.round_edge_screen(0.5, 100, 45)) assert_close(fluids.numba.round_edge_screen(0.5, 100), fluids.round_edge_screen(0.5, 100)) assert_close(fluids.numba.round_edge_open_mesh(0.96, angle=33.), fluids.round_edge_open_mesh(0.96, angle=33.)) assert_close(fluids.numba.square_edge_grill(.45, l=.15, Dh=.002, fd=.0185), fluids.square_edge_grill(.45, l=.15, Dh=.002, fd=.0185)) assert_close(fluids.numba.round_edge_grill(.4, l=.15, Dh=.002, fd=.0185), fluids.round_edge_grill(.4, l=.15, Dh=.002, fd=.0185)) assert_close(fluids.numba.square_edge_screen(0.99), fluids.square_edge_screen(0.99)) @mark_as_numba def test_misc_pump_numba(): assert_close(fluids.numba.motor_efficiency_underloaded(10.1*hp, .1), fluids.motor_efficiency_underloaded(10.1*hp, .1),) assert_close(fluids.numba.current_ideal(V=120, P=1E4, PF=1, phase=1), fluids.current_ideal(V=120, P=1E4, PF=1, phase=1)) @mark_as_numba def test_misc_separator_numba(): assert_close(fluids.numba.K_separator_Watkins(0.88, 985.4, 1.3, horizontal=True), fluids.K_separator_Watkins(0.88, 985.4, 1.3, horizontal=True)) @mark_as_numba def test_misc_mixing_numba(): assert_close(fluids.numba.size_tee(Q1=11.7, Q2=2.74, D=0.762, D2=None, n=1, pipe_diameters=5), fluids.size_tee(Q1=11.7, Q2=2.74, D=0.762, D2=None, n=1, pipe_diameters=5)) @mark_as_numba def test_misc_compressible(): assert_close(fluids.numba.isentropic_work_compression(P1=1E5, P2=1E6, T1=300, k=1.4, eta=0.78), fluids.isentropic_work_compression(P1=1E5, P2=1E6, T1=300, k=1.4, eta=0.78),) assert_close(fluids.numba.isentropic_efficiency(1E5, 1E6, 1.4, eta_p=0.78), fluids.isentropic_efficiency(1E5, 1E6, 1.4, eta_p=0.78)) assert_close(fluids.numba.polytropic_exponent(1.4, eta_p=0.78), fluids.polytropic_exponent(1.4, eta_p=0.78)) assert_close(fluids.numba.Panhandle_A(D=0.340, P1=90E5, P2=20E5, L=160E3, SG=0.693, Tavg=277.15), fluids.Panhandle_A(D=0.340, P1=90E5, P2=20E5, L=160E3, SG=0.693, Tavg=277.15)) assert_close(fluids.numba.Panhandle_B(D=0.340, P1=90E5, P2=20E5, L=160E3, SG=0.693, Tavg=277.15), fluids.Panhandle_B(D=0.340, P1=90E5, P2=20E5, L=160E3, SG=0.693, Tavg=277.15)) assert_close(fluids.numba.Weymouth(D=0.340, P1=90E5, P2=20E5, L=160E3, SG=0.693, Tavg=277.15), fluids.Weymouth(D=0.340, P1=90E5, P2=20E5, L=160E3, SG=0.693, Tavg=277.15)) assert_close(fluids.numba.Spitzglass_high(D=0.340, P1=90E5, P2=20E5, L=160E3, SG=0.693, Tavg=277.15), fluids.Spitzglass_high(D=0.340, P1=90E5, P2=20E5, L=160E3, SG=0.693, Tavg=277.15)) assert_close(fluids.numba.Spitzglass_high(P1=90E5, P2=20E5, L=160E3, SG=0.693, Tavg=277.15, Q=30), fluids.Spitzglass_high(P1=90E5, P2=20E5, L=160E3, SG=0.693, Tavg=277.15, Q=30)) assert_close(fluids.numba.Spitzglass_low(D=0.154051, P1=6720.3199, P2=0, L=54.864, SG=0.6, Tavg=288.7), fluids.Spitzglass_low(D=0.154051, P1=6720.3199, P2=0, L=54.864, SG=0.6, Tavg=288.7)) assert_close(fluids.numba.Spitzglass_low(P1=90E5, P2=20E5, L=160E3, SG=0.693, Tavg=277.15, Q=30), fluids.Spitzglass_low(P1=90E5, P2=20E5, L=160E3, SG=0.693, Tavg=277.15, Q=30)) assert_close(fluids.numba.Oliphant(D=0.340, P1=90E5, P2=20E5, L=160E3, SG=0.693, Tavg=277.15), fluids.Oliphant(D=0.340, P1=90E5, P2=20E5, L=160E3, SG=0.693, Tavg=277.15)) assert_close(fluids.numba.Oliphant(P1=90E5, P2=20E5, L=160E3, SG=0.693, Tavg=277.15, Q=30), fluids.Oliphant(P1=90E5, P2=20E5, L=160E3, SG=0.693, Tavg=277.15, Q=30)) # With the -1 lambertw branch assert_close(fluids.numba.P_isothermal_critical_flow(P=1E6, fd=0.00185, L=1000., D=0.5), fluids.P_isothermal_critical_flow(P=1E6, fd=0.00185, L=1000., D=0.5)) @mark_as_numba def test_misc_compressible_isothermal_gas(): assert_close(fluids.numba.isothermal_gas(rho=11.3, fd=0.00185, P1=1E6, P2=9E5, L=1000, m=145.48475726), fluids.isothermal_gas(rho=11.3, fd=0.00185, P1=1E6, P2=9E5, L=1000, m=145.48475726)) # the below used to work in numba not anymore # isothermal_gas(rho=11.3, fd=0.00185, m=145.4847572636031, P2=9E5, L=1000, D=0.5) @mark_as_numba def test_misc_control_valve(): # Not working - size_control_valve_g, size_control_valve_l # Can take the functions out, but the dictionary return remains problematic # fluids.numba.control_valve_choke_P_l(69682.89291024722, 22048320.0, 0.6, P2=458887.5306077305) # Willing to change this error message if the other can pass # fluids.numba.size_control_valve_g(T=433., MW=44.01, mu=1.4665E-4, gamma=1.30, #Z=0.988, P1=680E3, P2=310E3, Q=38/36., D1=0.08, D2=0.1, d=0.05, #FL=0.85, Fd=0.42, xT=0.60) assert_close(fluids.numba.Reynolds_factor(FL=0.98, C=0.015483, d=15., Rev=1202., full_trim=False), fluids.Reynolds_factor(FL=0.98, C=0.015483, d=15., Rev=1202., full_trim=False)) assert_close(fluids.numba.convert_flow_coefficient(10, 'Kv', 'Av'), fluids.convert_flow_coefficient(10, 'Kv', 'Av')) @mark_as_numba def test_misc_safety_valve(): assert_close(fluids.numba.API520_round_size(1E-4), fluids.API520_round_size(1E-4)) assert_close(fluids.numba.API520_SH(593+273.15, 1066.325E3), fluids.API520_SH(593+273.15, 1066.325E3)) assert_close(fluids.numba.API520_W(1E6, 3E5), fluids.API520_W(1E6, 3E5)) assert_close(fluids.numba.API520_B(1E6, 5E5), fluids.API520_B(1E6, 5E5)) assert_close(fluids.numba.API520_A_g(m=24270/3600., T=348., Z=0.90, MW=51., k=1.11, P1=670E3, Kb=1, Kc=1), fluids.API520_A_g(m=24270/3600., T=348., Z=0.90, MW=51., k=1.11, P1=670E3, Kb=1, Kc=1)) assert_close(fluids.numba.API520_A_steam(m=69615/3600., T=592.5, P1=12236E3, Kd=0.975, Kb=1, Kc=1), fluids.API520_A_steam(m=69615/3600., T=592.5, P1=12236E3, Kd=0.975, Kb=1, Kc=1)) @mark_as_numba def test_misc_packed_bed(): assert_close(fluids.numba.Harrison_Brunner_Hecker(dp=8E-4, voidage=0.4, vs=1E-3, rho=1E3, mu=1E-3, Dt=1E-2), fluids.Harrison_Brunner_Hecker(dp=8E-4, voidage=0.4, vs=1E-3, rho=1E3, mu=1E-3, Dt=1E-2)) assert_close(fluids.numba.Harrison_Brunner_Hecker(dp=8E-4, voidage=0.4, vs=1E-3, rho=1E3, mu=1E-3), fluids.Harrison_Brunner_Hecker(dp=8E-4, voidage=0.4, vs=1E-3, rho=1E3, mu=1E-3)) assert_close(fluids.numba.Montillet_Akkari_Comiti(dp=0.0008, voidage=0.4, L=0.5, vs=0.00132629120, rho=1000., mu=1.00E-003), fluids.Montillet_Akkari_Comiti(dp=0.0008, voidage=0.4, L=0.5, vs=0.00132629120, rho=1000., mu=1.00E-003)) assert_close(fluids.numba.dP_packed_bed(dp=8E-4, voidage=0.4, vs=1E-3, rho=1E3, mu=1E-3), fluids.dP_packed_bed(dp=8E-4, voidage=0.4, vs=1E-3, rho=1E3, mu=1E-3)) assert_close(fluids.numba.dP_packed_bed(dp=8E-4, voidage=0.4, vs=1E-3, rho=1E3, mu=1E-3, Dt=0.01), fluids.dP_packed_bed(dp=8E-4, voidage=0.4, vs=1E-3, rho=1E3, mu=1E-3, Dt=0.01)) @mark_as_numba def test_misc_packed_tower(): # 12.8 us CPython, 1.4 PyPy, 1.85 numba assert_close(fluids.numba.Stichlmair_wet(Vg=0.4, Vl = 5E-3, rhog=5., rhol=1200., mug=5E-5, voidage=0.68, specific_area=260., C1=32., C2=7., C3=1.), fluids.Stichlmair_wet(Vg=0.4, Vl = 5E-3, rhog=5., rhol=1200., mug=5E-5, voidage=0.68, specific_area=260., C1=32., C2=7., C3=1.),) assert_close(fluids.numba.Stichlmair_flood(Vl = 5E-3, rhog=5., rhol=1200., mug=5E-5, voidage=0.68, specific_area=260., C1=32., C2=7., C3=1.), fluids.Stichlmair_flood(Vl = 5E-3, rhog=5., rhol=1200., mug=5E-5, voidage=0.68, specific_area=260., C1=32., C2=7., C3=1.)) @mark_as_numba def test_misc_flow_meter(): assert_close(fluids.numba.differential_pressure_meter_beta(D=0.2575, D2=0.184, meter_type='cone meter'), fluids.differential_pressure_meter_beta(D=0.2575, D2=0.184, meter_type='cone meter')) assert_close(fluids.numba.C_Miller_1996(D=0.07391, Do=0.0222, rho=1.165, mu=1.85E-5, m=0.12, taps='flange', subtype='orifice'), fluids.C_Miller_1996(D=0.07391, Do=0.0222, rho=1.165, mu=1.85E-5, m=0.12, taps='flange', subtype='orifice')) assert_close1d(fluids.numba.differential_pressure_meter_C_epsilon(D=0.07366, D2=0.05, P1=200000.0, P2=183000.0, rho=999.1, mu=0.0011, k=1.33, m=7.702338035732168, meter_type='ISO 5167 orifice', taps='D'), fluids.differential_pressure_meter_C_epsilon(D=0.07366, D2=0.05, P1=200000.0, P2=183000.0, rho=999.1, mu=0.0011, k=1.33, m=7.702338035732168, meter_type='ISO 5167 orifice', taps='D')) assert_close(fluids.numba.differential_pressure_meter_dP(D=0.07366, D2=0.05, P1=200000.0, P2=183000.0, meter_type='as cast convergent venturi tube'), fluids.differential_pressure_meter_dP(D=0.07366, D2=0.05, P1=200000.0, P2=183000.0, meter_type='as cast convergent venturi tube')) assert_close(fluids.numba.differential_pressure_meter_solver(D=0.07366, D2=0.05, P1=200000.0, P2=183000.0, rho=999.1, mu=0.0011, k=1.33, meter_type='ISO 5167 orifice', taps='D'), fluids.differential_pressure_meter_solver(D=0.07366, D2=0.05, P1=200000.0, P2=183000.0, rho=999.1, mu=0.0011, k=1.33, meter_type='ISO 5167 orifice', taps='D')) assert_close(fluids.numba.differential_pressure_meter_solver(D=0.07366, D2=0.05, P1=200000.0, P2=183000.0, rho=999.1, mu=0.0011, k=1.33, meter_type='ISO 5167 orifice', taps='D', epsilon_specified=1), fluids.differential_pressure_meter_solver(D=0.07366, D2=0.05, P1=200000.0, P2=183000.0, rho=999.1, mu=0.0011, k=1.33, meter_type='ISO 5167 orifice', taps='D', epsilon_specified=1)) assert_close(fluids.numba.differential_pressure_meter_solver(D=0.07366, D2=0.05, P1=200000.0, P2=183000.0, rho=999.1, mu=0.0011, meter_type='ISO 5167 orifice', taps='D', epsilon_specified=1), fluids.differential_pressure_meter_solver(D=0.07366, D2=0.05, P1=200000.0, P2=183000.0, rho=999.1, mu=0.0011, meter_type='ISO 5167 orifice', taps='D', epsilon_specified=1)) @mark_as_numba def test_misc_core(): # All these had issues assert_close(fluids.numba.Reynolds(2.5, 0.25, nu=1.636e-05), fluids.Reynolds(2.5, 0.25, nu=1.636e-05)) assert_close(fluids.numba.Peclet_heat(1.5, 2, 1000., 4000., 0.6), fluids.Peclet_heat(1.5, 2, 1000., 4000., 0.6)) assert_close(fluids.numba.Fourier_heat(t=1.5, L=2, rho=1000., Cp=4000., k=0.6), fluids.Fourier_heat(t=1.5, L=2, rho=1000., Cp=4000., k=0.6)) assert_close(fluids.numba.Graetz_heat(1.5, 0.25, 5, 800., 2200., 0.6), fluids.Graetz_heat(1.5, 0.25, 5, 800., 2200., 0.6)) assert_close(fluids.numba.Schmidt(D=2E-6, mu=4.61E-6, rho=800), fluids.Schmidt(D=2E-6, mu=4.61E-6, rho=800)) assert_close(fluids.numba.Lewis(D=22.6E-6, alpha=19.1E-6), fluids.Lewis(D=22.6E-6, alpha=19.1E-6)) assert_close(fluids.numba.Confinement(0.001, 1077, 76.5, 4.27E-3), fluids.Confinement(0.001, 1077, 76.5, 4.27E-3)) assert_close(fluids.numba.Prandtl(Cp=1637., k=0.010, nu=6.4E-7, rho=7.1), fluids.Prandtl(Cp=1637., k=0.010, nu=6.4E-7, rho=7.1)) assert_close(fluids.numba.Grashof(L=0.9144, beta=0.000933, T1=178.2, rho=1.1613, mu=1.9E-5), fluids.Grashof(L=0.9144, beta=0.000933, T1=178.2, rho=1.1613, mu=1.9E-5)) assert_close(fluids.numba.Froude(1.83, L=2., squared=True), fluids.Froude(1.83, L=2., squared=True)) assert_close(fluids.numba.nu_mu_converter(998., nu=1.0E-6), fluids.nu_mu_converter(998., nu=1.0E-6)) assert_close(fluids.numba.gravity(55, 1E4), fluids.gravity(55, 1E4)) @mark_as_numba def test_misc_drag(): assert_close(fluids.numba.drag_sphere(200), fluids.drag_sphere(200)) assert_close(fluids.numba.drag_sphere(1e6, Method='Almedeij'), fluids.drag_sphere(1e6, Method='Almedeij')) assert_close(fluids.numba.v_terminal(D=70E-6, rhop=2600., rho=1000., mu=1E-3), fluids.v_terminal(D=70E-6, rhop=2600., rho=1000., mu=1E-3)) assert_close(fluids.numba.time_v_terminal_Stokes(D=1e-7, rhop=2200., rho=1.2, mu=1.78E-5, V0=1), fluids.time_v_terminal_Stokes(D=1e-7, rhop=2200., rho=1.2, mu=1.78E-5, V0=1), rtol=1e-1 ) @mark_as_numba def test_misc_two_phase_voidage(): assert_close(fluids.numba.gas_liquid_viscosity(x=0.4, mul=1E-3, mug=1E-5, rhol=850, rhog=1.2, Method='Duckler'), fluids.gas_liquid_viscosity(x=0.4, mul=1E-3, mug=1E-5, rhol=850, rhog=1.2, Method='Duckler')) assert_close(fluids.numba.liquid_gas_voidage(m=0.6, x=0.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, sigma=0.0487, D=0.05), fluids.liquid_gas_voidage(m=0.6, x=0.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, sigma=0.0487, D=0.05)) @mark_as_numba def test_misc_two_phase(): assert_close(fluids.numba.Beggs_Brill(m=0.6, x=0.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, sigma=0.0487, P=1E7, D=0.05, angle=0, roughness=0, L=1), fluids.Beggs_Brill(m=0.6, x=0.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, sigma=0.0487, P=1E7, D=0.05, angle=0, roughness=0, L=1)) assert_close(fluids.numba.Kim_Mudawar(m=0.6, x=0.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, sigma=0.0487, D=0.05, L=1), fluids.Kim_Mudawar(m=0.6, x=0.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, sigma=0.0487, D=0.05, L=1)) reg_numba = fluids.numba.Mandhane_Gregory_Aziz_regime(m=0.6, x=0.112, rhol=915.12, rhog=2.67, mul=180E-6, mug=14E-6, sigma=0.065, D=0.05) reg_normal = fluids.Mandhane_Gregory_Aziz_regime(m=0.6, x=0.112, rhol=915.12, rhog=2.67, mul=180E-6, mug=14E-6, sigma=0.065, D=0.05) assert reg_numba[0] == reg_normal[0] assert_close1d(reg_numba[1:], reg_normal[1:]) reg_numba = fluids.numba.Taitel_Dukler_regime(m=0.6, x=0.112, rhol=915.12, rhog=2.67, mul=180E-6, mug=14E-6, D=0.05, roughness=0, angle=0) reg_normal = fluids.Taitel_Dukler_regime(m=0.6, x=0.112, rhol=915.12, rhog=2.67, mul=180E-6, mug=14E-6, D=0.05, roughness=0, angle=0) assert reg_numba[0] == reg_normal[0] assert_close1d(reg_numba[1:], reg_normal[1:]) assert_close(fluids.numba.two_phase_dP(m=0.6, x=0.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, sigma=0.0487, D=0.05, L=1), fluids.two_phase_dP(m=0.6, x=0.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, sigma=0.0487, D=0.05, L=1)) assert_close(fluids.numba.two_phase_dP(m=0.6, x=0.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, sigma=0.0487, D=0.05, L=1, P=1e6), fluids.two_phase_dP(m=0.6, x=0.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, sigma=0.0487, D=0.05, L=1, P=1e6)) @mark_as_numba def tets_ATMOSPHERE_1976(): assert_close(fluids.numba.ATMOSPHERE_1976(4.4).v_sonic, fluids.ATMOSPHERE_1976(4.4).v_sonic) # pressure_integral not working do not know why @numba.njit def my_int(Z): return fluids.numba.atmosphere.ATMOSPHERE_1976(Z, 0).rho assert_close(fluids.numba.atmosphere.airmass(my_int, 90.0), fluids.atmosphere.airmass(lambda Z : ATMOSPHERE_1976(Z).rho, 90)) assert_close(fluids.numba.atmosphere.ATMOSPHERE_1976.pressure_integral(300, 1e5, 10), fluids.atmosphere.ATMOSPHERE_1976.pressure_integral(300, 1e5, 10)) @mark_as_numba def test_misc_geometry(): assert_close(fluids.numba.geometry.SA_partial_horiz_spherical_head(D=72., a=48.0, h=24.0), fluids.geometry.SA_partial_horiz_spherical_head(D=72., a=48.0, h=24.0)) # Probably the most impressive numba implementation to date - takes 1.4 us vs. 100 us with CPython # and 252 us with PyPy because of the ctypes function assert_close(fluids.numba.SA_partial_horiz_ellipsoidal_head(D=72., a=48.0, h=24.0), fluids.geometry.SA_partial_horiz_ellipsoidal_head(D=72., a=48.0, h=24.0)) assert_close(fluids.numba.SA_partial_horiz_guppy_head(D=72., a=48.0, h=24.0), fluids.SA_partial_horiz_guppy_head(D=72., a=48.0, h=24.0)) # Not working when h is higher, likes to return nans also assert_close(fluids.numba.SA_partial_horiz_torispherical_head(D=72., f=1.0, k=.1, h=1.0), SA_partial_horiz_torispherical_head(D=72., f=1.0, k=.1, h=1.0)) assert_close(fluids.numba.V_from_h(h=7, D=1.5, L=5., horizontal=False, sideA='conical', sideB='conical', sideA_a=2., sideB_a=1.), fluids.V_from_h(h=7, D=1.5, L=5., horizontal=False, sideA='conical', sideB='conical', sideA_a=2., sideB_a=1.)) assert_close(fluids.numba.V_from_h(h=1.2, D=1.5, L=5., horizontal=True, sideA='conical', sideB='conical', sideA_a=2., sideB_a=1.), fluids.V_from_h(h=1.2, D=1.5, L=5., horizontal=True, sideA='conical', sideB='conical', sideA_a=2., sideB_a=1.)) assert_close(fluids.numba.SA_from_h(h=7, D=1.5, L=5., horizontal=False, sideA='conical', sideB='conical', sideA_a=2., sideB_a=1.), SA_from_h(h=7, D=1.5, L=5., horizontal=False, sideA='conical', sideB='conical', sideA_a=2., sideB_a=1.)) assert_close(fluids.numba.SA_from_h(h=1.2, D=1.5, L=5., horizontal=True, sideA='conical', sideB='conical', sideA_a=2., sideB_a=1.), SA_from_h(h=1.2, D=1.5, L=5., horizontal=True, sideA='conical', sideB='conical', sideA_a=2., sideB_a=1.)) @mark_as_numba def tets_newton_system(): @numba.njit def to_solve_jac(x0): return np.array([5.0*x0[0] - 3]), np.array([[5.0]]) # fluids.numerics.newton_system(to_solve_jac, x0=[1.0], ytol=1e-5, jac=True) res, niter = fluids.numba.newton_system(to_solve_jac, x0=np.array([1.0]), ytol=1e-5, jac=True) assert niter == 2 assert_allclose(res, np.array([0.6])) @mark_as_numba def test_numerics_solve_direct(): A = np.array([[1.0,2.53252], [34.34, .5342]]) B = np.array([1.1241, .54354]) ans = fluids.numba.numerics.solve_2_direct(A, B) assert_close1d(np.linalg.solve(A, B), ans, rtol=1e-14) assert type(ans) is np.ndarray A = np.array([[1.0,2.53252, 54.54], [34.34, .5342, .545], [12.43, .545, .55555]]) B = np.array([1.1241, .54354, 1.22333]) ans = fluids.numba.numerics.solve_3_direct(A, B) assert_close1d(np.linalg.solve(A, B), ans, rtol=5e-14) assert type(ans) is np.ndarray A = np.array([[1.0,2.53252, 54.54, .235], [34.34, .5342, .545, .223], [12.43, .545, .55555, 33.33], [1.11, 2.2, 3.33, 4.44]]) B = np.array([1.1241, .54354, 1.22333, 9.009]) ans = fluids.numba.numerics.solve_4_direct(A, B) assert_close1d(np.linalg.solve(A, B), ans, rtol=5e-14) assert type(ans) is np.ndarray fluids-1.0.22/tests/test_two_phase_voidage.py0000644000175000017500000002144014302004506020645 0ustar nileshnilesh# -*- coding: utf-8 -*- '''Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2016, 2017 Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.''' from __future__ import division from fluids.two_phase_voidage import * from fluids import * from fluids.numerics import assert_close, assert_close1d, linspace import pytest def test_Thom(): # >>> from sympy import * # >>> x, rhol, rhog, mug, mul = symbols('x, rhol, rhog, mug, mul') # >>> Z = (rhol/rhog)**Rational(555,1000)*(mug/mul)**Rational(111,1000) # >>> gamma = Z**1.6 # >>> alpha = (gamma*x/(1 + x*(gamma-1))) # >>> alpha # x*((mug/mul)**(111/1000)*(rhol/rhog)**(111/200))**1.6/(x*(((mug/mul)**(111/1000)*(rhol/rhog)**(111/200))**1.6 - 1) + 1) # >>> alpha.subs([(x, .4), (rhol, 800), (rhog, 2.5), (mul, 1E-3), (mug, 1E-5)]) # 0.980138792146901 assert_close(Thom(.4, 800, 2.5, 1E-3, 1E-5), 0.9801482164042417) def test_Zivi(): assert_close(Zivi(.4, 800, 2.5), 0.9689339909056356) def test_Smith(): assert_close(Smith(.4, 800, 2.5), 0.959981235534199) # Quick test function, to ensure results are the same regardless of # the form of the expression def Smith2(x, rhol, rhog): K = 0.4 first = 1 + rhog/rhol*K*(1/x-1) second = rhog/rhol*(1-K)*(1/x-1) third = ((rhol/rhog + K*(1/x-1))/(1 + K*(1/x -1)))**0.5 return (first + second*third)**-1 alpha_1 = [Smith(i, 800, 2.5) for i in linspace(1E-9,.99)] alpha_2 = [Smith2(i, 800, 2.5) for i in linspace(1E-9, .99)] assert_close1d(alpha_1, alpha_2) def test_Fauske(): assert_close(Fauske(.4, 800, 2.5), 0.9226347262627932) def test_Chisholm_voidage(): assert_close(Chisholm_voidage(.4, 800, 2.5), 0.949525900374774) def test_Turner_Wallis(): assert_close(Turner_Wallis(.4, 800, 2.5, 1E-3, 1E-5), 0.8384824581634625) ### Section 2 def test_homogeneous(): assert_close(homogeneous(.4, 800, 2.5), 0.995334370139969) assert_close(homogeneous(1, 800, 2.5), 1) assert_close(homogeneous(0, 800, 2.5), 0) # 1./(1. + (1-x)/x*(rhog/rhol)) def test_Chisholm_Armand(): assert_close(Chisholm_Armand(.4, 800, 2.5), 0.9357814394262114) def test_Armand(): assert_close(Armand(.4, 800, 2.5), 0.8291135303265941) def test_Nishino_Yamazaki(): assert_close(Nishino_Yamazaki(.4, 800, 2.5), 0.931694583962682) def test_Guzhov(): assert_close(Guzhov(.4, 800, 2.5, 1, .3), 0.7626030108534588) def test_Kawahara(): alphas_calc = [Kawahara(.4, 800, 2.5, D) for D in [0.001, 100E-6, 1E-7]] alphas_exp = [0.8291135303265941, 0.9276148194410238, 0.8952146812696503] assert_close1d(alphas_calc, alphas_exp) ### Drift flux models def test_Lockhart_Martinelli_Xtt(): assert_close(Lockhart_Martinelli_Xtt(0.4, 800, 2.5, 1E-3, 1E-5), 0.12761659240532292) assert_close(Lockhart_Martinelli_Xtt(0.4, 800, 2.5, 1E-3, 1E-5, n=0.2), 0.12761659240532292) def test_Baroczy(): assert_close(Baroczy(.4, 800, 2.5, 1E-3, 1E-5), 0.9453544598460807) def test_Tandon_Varma_Gupta(): alphas_calc = [Tandon_Varma_Gupta(.4, 800, 2.5, 1E-3, 1E-5, m, 0.3) for m in [1, .1]] assert_close1d(alphas_calc, [0.9228265670341428, 0.8799794756817589]) def test_Harms(): assert_close(Harms(.4, 800, 2.5, 1E-3, 1E-5, m=1, D=0.3), 0.9653289762907554) def test_Domanski_Didion(): assert_close(Domanski_Didion(.4, 800, 2.5, 1E-3, 1E-5), 0.9355795597059169) assert_close(Domanski_Didion(.002, 800, 2.5, 1E-3, 1E-5), 0.32567078492010837) def test_Graham(): assert_close(Graham(.4, 800, 2.5, 1E-3, 1E-5, m=1, D=0.3), 0.6403336287530644) assert 0 == Graham(.4, 800, 2.5, 1E-3, 1E-5, m=.001, D=0.3) def test_Yashar(): assert_close(Yashar(.4, 800, 2.5, 1E-3, 1E-5, m=1, D=0.3), 0.7934893185789146) def test_Huq_Loth(): assert_close(Huq_Loth(.4, 800, 2.5), 0.9593868838476147) def test_Kopte_Newell_Chato(): assert_close(Kopte_Newell_Chato(.4, 800, 2.5, 1E-3, 1E-5, m=1, D=0.3), 0.6864466770087425) assert_close(Kopte_Newell_Chato(.4, 800, 2.5, 1E-3, 1E-5, m=.01, D=0.3), 0.995334370139969) def test_Steiner(): assert_close(Steiner(0.4, 800., 2.5, sigma=0.02, m=1, D=0.3), 0.895950181381335) def test_Rouhani_1(): assert_close(Rouhani_1(0.4, 800., 2.5, sigma=0.02, m=1, D=0.3), 0.8588420244136714) def test_Rouhani_2(): assert_close(Rouhani_2(0.4, 800., 2.5, sigma=0.02, m=1, D=0.3), 0.44819733138968865) def test_Nicklin_Wilkes_Davidson(): assert_close(Nicklin_Wilkes_Davidson(0.4, 800., 2.5, m=1, D=0.3), 0.6798826626721431) def test_Gregory_Scott(): assert_close(Gregory_Scott(0.4, 800., 2.5), 0.8364154370924108) def test_Dix(): assert_close(Dix(0.4, 800., 2.5, sigma=0.02, m=1, D=0.3), 0.8268737961156514) def test_Sun_Duffey_Peng(): assert_close(Sun_Duffey_Peng(0.4, 800., 2.5, sigma=0.02, m=1, D=0.3, P=1E5, Pc=7E6), 0.7696546506515833) def test_Woldesemayat_Ghajar(): assert_close(Woldesemayat_Ghajar(0.4, 800., 2.5, sigma=0.2, m=1, D=0.3, P=1E6, angle=45.0), 0.7640815513429202) def test_Xu_Fang_voidage(): assert_close(Xu_Fang_voidage(0.4, 800., 2.5, m=1, D=0.3), 0.9414660089942093) def test_liquid_gas_voidage(): voidage = liquid_gas_voidage(m=0.6, x=0.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, sigma=0.0487, D=0.05) assert_close(voidage, 0.9744097632663492) kwargs = dict(m=0.6, x=0.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, sigma=0.0487, D=0.05, P=1e5, Pc=1e7) for m in liquid_gas_voidage_methods(**kwargs): liquid_gas_voidage(Method=m, **kwargs) with pytest.raises(Exception): liquid_gas_voidage(Method='BADMETHOD', **kwargs) assert len(liquid_gas_voidage_methods(**kwargs)) == 29 def test_density_two_phase(): assert_close(density_two_phase(.4, 800.0, 2.5), 481.0) def test_two_phase_voidage_experimental(): alpha = two_phase_voidage_experimental(481.0, 800.0, 2.5) assert_close(alpha, 0.4) def test_Beattie_Whalley(): mu = Beattie_Whalley(x=0.4, mul=1E-3, mug=1E-5, rhol=850.0, rhog=1.2) assert_close(mu, 1.7363806909512365e-05) def test_McAdams(): mu = McAdams(x=0.4, mul=1E-3, mug=1E-5) assert_close(mu, 2.4630541871921184e-05) def test_Cicchitti(): mu = Cicchitti(x=0.4, mul=1E-3, mug=1E-5) assert_close(mu, 0.000604) def test_Lin_Kwok(): mu = Lin_Kwok(x=0.4, mul=1E-3, mug=1E-5) assert_close(mu, 3.515119398126066e-05) def test_Fourar_Bories(): mu = Fourar_Bories(x=0.4, mul=1E-3, mug=1E-5, rhol=850.0, rhog=1.2) assert_close(mu, 2.127617150298565e-05) def tets_Duckler(): mu = Duckler(x=0.4, mul=1E-3, mug=1E-5, rhol=850.0, rhog=1.2) assert_close(mu, 1.2092040385066917e-05) def Duckler1(x, mul, mug, rhol, rhog): # Effective property models for homogeneous two-phase flows. # different formulation rhom = 1./(x/rhog + (1. - x)/rhol) return rhom*(x*(mug/rhog) + (1. - x)*mul/rhol) mu = Duckler1(x=0.4, mul=1E-3, mug=1E-5, rhol=850.0, rhog=1.2) assert_close(mu, 1.2092040385066917e-05) def test_gas_liquid_viscosity(): mu = gas_liquid_viscosity(x=0.4, mul=1E-3, mug=1E-5) assert_close(2.4630541871921184e-05, mu) mu = gas_liquid_viscosity(x=0.4, mul=1E-3, mug=1E-5, rhol=850.0, rhog=1.2, Method='Duckler') assert_close(mu, 1.2092040385066917e-05) simple_methods = gas_liquid_viscosity_methods() assert list(sorted(simple_methods)) == list(sorted(['McAdams', 'Cicchitti', 'Lin Kwok'])) all_methods = gas_liquid_viscosity_methods(rhol=1000.0, rhog=2.) all_methods_expect = ['Beattie Whalley', 'Fourar Bories', 'Duckler', 'McAdams', 'Cicchitti', 'Lin Kwok'] assert list(sorted(all_methods)) == list(sorted(all_methods_expect)) for m in all_methods_expect: gas_liquid_viscosity(x=0.4, mul=1E-3, mug=1E-5, rhol=850.0, rhog=1.2, Method=m) with pytest.raises(Exception): gas_liquid_viscosity(x=0.4, mul=1E-3, mug=1E-5, Method='NOTAMETHOD')fluids-1.0.22/tests/test_units.py0000644000175000017500000004364214302004506016330 0ustar nileshnilesh# -*- coding: utf-8 -*- '''Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2017 Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.''' from __future__ import division import types import numpy as np from fluids.numerics import assert_close, assert_close1d, assert_close2d import pytest import fluids from fluids.units import * from fluids.units import kwargs_to_args def test_kwargs_to_args(): sig = ['rho', 'mu', 'nu'] args = (1,) kwargs = {'mu': 2.2} assert [1, 2.2, None] == kwargs_to_args(args, kwargs, sig) kwargs = {'nu': 2.2} assert [1, None, 2.2] == kwargs_to_args(args, kwargs, sig) assert [12.2, 2.2, 5.5] == kwargs_to_args(tuple(), {'mu': 2.2, 'nu': 5.5, 'rho': 12.2}, sig) assert [None, None, None] == kwargs_to_args(tuple(), {}, sig) assert [12.2, 2.2, 5.5] == kwargs_to_args((12.2, 2.2, 5.5), {}, sig) def assert_pint_allclose(value, magnitude, units, rtol=1e-7, atol=0): assert_close(value.to_base_units().magnitude, magnitude, rtol=rtol, atol=atol) if type(units) != dict: units = dict(units.dimensionality) assert dict(value.dimensionality) == units def assert_pint_allclose1d(value, magnitude, units, rtol=1e-7, atol=0): assert_close1d(value.to_base_units().magnitude, magnitude, rtol=rtol, atol=atol) if type(units) != dict: units = dict(units.dimensionality) assert dict(value.dimensionality) == units def assert_pint_allclose2d(value, magnitude, units, rtol=1e-7, atol=0): assert_close2d(value.to_base_units().magnitude, magnitude, rtol=rtol, atol=atol) if type(units) != dict: units = dict(units.dimensionality) assert dict(value.dimensionality) == units def test_in_right_units(): assert u.default_system == 'mks' def test_nondimensional_reduction(): Re = 171.8865229090909 *u.meter * u.pound / u.centipoise / u.foot ** 2 / u.second eD = 0.0005937067088858105*u.inch/u.meter assert_close(friction_factor(Re, eD).magnitude, 0.012301598061848239) def test_convert_input(): from fluids.units import convert_input ans = convert_input(5, 'm', u, False) assert ans == 5 with pytest.raises(Exception): convert_input(5, 'm', u, True) def test_convert_output(): assert convert_output(None, ['Pa'], ['Pt'], u) is None assert convert_output(True, ['Pa'], ['Pt'], u) == True assert convert_output('hi', ['Pa'], ['Pt'], u) == 'hi' val = convert_output(5.5, ['Pa'], ['Pt'], u) assert_close(val.to_base_units().magnitude, 5.5) assert dict(val.dimensionality) == {'[length]': -1, '[mass]': 1, '[time]': -2} mat = convert_output(np.array([[1,2, 6], [3,4,9.5]]), ['Pa'], ['Pt'], u) assert mat.shape == (2, 3) assert dict(val.dimensionality) == {'[length]': -1, '[mass]': 1, '[time]': -2} mat = convert_output([[1,2, 6], [3,4,9.5]], ['Pa'], ['Pt'], u) assert mat.shape == (2, 3) assert dict(val.dimensionality) == {'[length]': -1, '[mass]': 1, '[time]': -2} def test_sample_cases(): Re = Reynolds(V=3.5*u.m/u.s, D=2*u.m, rho=997.1*u.kg/u.m**3, mu=1E-3*u.Pa*u.s) assert_close(Re.to_base_units().magnitude, 6979700.0) assert dict(Re.dimensionality) == {} # vs = hwm93(5E5*u.m, 45*u.degrees, 50*u.degrees, 365*u.day) # vs_known = [-73.00312042236328, 0.1485661268234253] # for v_known, v_calc in zip(vs_known, vs): # assert_close(v_known, v_calc.to_base_units().magnitude) # assert dict(v_calc.dimensionality) == {u'[length]': 1.0, u'[time]': -1.0} A = API520_A_g(m=24270*u.kg/u.hour, T=348.*u.K, Z=0.90, MW=51.*u.g/u.mol, k=1.11, P1=670*u.kPa, Kb=1, Kc=1) assert_close(A.to_base_units().magnitude, 0.00369904606468) assert dict(A.dimensionality) == {u'[length]': 2.0} T = T_critical_flow(473*u.K, 1.289) assert_close(T.to_base_units().magnitude, 413.280908694) assert dict(T.dimensionality) == {u'[temperature]': 1.0} T2 = T_critical_flow(473*u.K, 1.289*u.dimensionless) assert T == T2 with pytest.raises(Exception): T_critical_flow(473, 1.289) with pytest.raises(Exception): T_critical_flow(473*u.m, 1.289) # boolean P1 = 8*u.bar + 1*u.atm P2 = 1*u.atm assert True == is_critical_flow(P1, P2, k=1.4*u.dimensionless) A = size_control_valve_g(T=433.*u.K, MW=44.01*u.g/u.mol, mu=1.4665E-4*u.Pa*u.s, gamma=1.30, Z=0.988, P1=680*u.kPa, P2=310*u.kPa, Q=38/36.*u.m**3/u.s, D1=0.08*u.m, D2=0.1*u.m, d=0.05*u.m, FL=0.85, Fd=0.42, xT=0.60) assert_close(A.to_base_units().magnitude, 0.0201629570705307) assert dict(A.dimensionality) == {u'[length]': 3.0, u'[time]': -1.0} A = API520_round_size(A=1E-4*u.m**2) assert_close(A.to_base_units().magnitude, 0.00012645136) assert dict(A.dimensionality) == {u'[length]': 2.0} SS = specific_speed(0.0402*u.m**3/u.s, 100*u.m, 3550*u.rpm) assert_close(SS.to_base_units().magnitude, 2.3570565251512066) assert dict(SS.dimensionality) == {u'[length]': 0.75, u'[time]': -1.5} v = Geldart_Ling(1.*u.kg/u.s, 1.2*u.kg/u.m**3, 0.1*u.m, 2E-5*u.Pa*u.s) assert_close(v.to_base_units().magnitude, 7.467495862402707) assert dict(v.dimensionality) == {u'[length]': 1.0, u'[time]': -1.0} s = speed_synchronous(50*u.Hz, poles=12) assert_close(s.to_base_units().magnitude, 157.07963267948966) assert dict(s.dimensionality) == {u'[time]': -1.0} t = t_from_gauge(.2, False, 'AWG') assert_close(t.to_base_units().magnitude, 0.5165) assert dict(t.dimensionality) == {u'[length]': 1.0} dP = Robbins(G=2.03*u.kg/u.m**2/u.s, rhol=1000*u.kg/u.m**3, Fpd=24/u.ft, L=12.2*u.kg/u.m**2/u.s, rhog=1.1853*u.kg/u.m**3, mul=0.001*u.Pa*u.s, H=2*u.m) assert_close(dP.to_base_units().magnitude, 619.662459344 ) assert dict(dP.dimensionality) == {u'[length]': -1.0, u'[mass]': 1.0, u'[time]': -2.0} dP = dP_packed_bed(dp=8E-4*u.m, voidage=0.4, vs=1E-3*u.m/u.s, rho=1E3*u.kg/u.m**3, mu=1E-3*u.Pa*u.s) assert_close(dP.to_base_units().magnitude, 1438.28269588 ) assert dict(dP.dimensionality) == {u'[length]': -1.0, u'[mass]': 1.0, u'[time]': -2.0} dP = dP_packed_bed(dp=8E-4*u.m, voidage=0.4*u.dimensionless, vs=1E-3*u.m/u.s, rho=1E3*u.kg/u.m**3, mu=1E-3*u.Pa*u.s, Dt=0.01*u.m) assert_close(dP.to_base_units().magnitude, 1255.16256625) assert dict(dP.dimensionality) == {u'[length]': -1.0, u'[mass]': 1.0, u'[time]': -2.0} n = C_Chezy_to_n_Manning(26.15*u.m**0.5/u.s, Rh=5*u.m) assert_close(n.to_base_units().magnitude, 0.05000613713238358) assert dict(n.dimensionality) == {u'[length]': -0.3333333333333333, u'[time]': 1.0} Q = Q_weir_rectangular_SIA(0.2*u.m, 0.5*u.m, 1*u.m, 2*u.m) assert_close(Q.to_base_units().magnitude, 1.0408858453811165) assert dict(Q.dimensionality) == {u'[length]': 3.0, u'[time]': -1.0} t = agitator_time_homogeneous(D=36*.0254*u.m, N=56/60.*u.revolutions/u.second, P=957.*u.W, T=1.83*u.m, H=1.83*u.m, mu=0.018*u.Pa*u.s, rho=1020*u.kg/u.m**3, homogeneity=.995) assert_close(t.to_base_units().magnitude, 15.143198226374668) assert dict(t.dimensionality) == {u'[time]': 1.0} K = K_separator_Watkins(0.88*u.dimensionless, 985.4*u.kg/u.m**3, 1.3*u.kg/u.m**3, horizontal=True) assert_close(K.to_base_units().magnitude, 0.07951613600476297, rtol=1e-2) assert dict(K.dimensionality) == {u'[length]': 1.0, u'[time]': -1.0} A = current_ideal(V=120*u.V, P=1E4*u.W, PF=1, phase=1) assert_close(A.to_base_units().magnitude, 83.33333333333333) assert dict(A.dimensionality) == {u'[current]': 1.0} fd = friction_factor(Re=1E5, eD=1E-4) assert_close(fd.to_base_units().magnitude, 0.01851386607747165) assert dict(fd.dimensionality) == {} K = Cv_to_K(2.712*u.gallon/u.minute, .015*u.m) assert_close(K.to_base_units().magnitude, 14.719595348352552) assert dict(K.dimensionality) == {} Cv = K_to_Cv(16, .015*u.m) assert_close(Cv.to_base_units().magnitude, 0.0001641116865931214) assert dict(Cv.dimensionality) == {u'[length]': 3.0, u'[time]': -1.0} Cd = drag_sphere(200) assert_close(Cd.to_base_units().magnitude, 0.7682237950389874) assert dict(Cd.dimensionality) == {} V, D = integrate_drag_sphere(D=0.001*u.m, rhop=2200.*u.kg/u.m**3, rho=1.2*u.kg/u.m**3, mu=1.78E-5*u.Pa*u.s, t=0.5*u.s, V=30*u.m/u.s, distance=True) assert_close(V.to_base_units().magnitude, 9.686465044063436) assert dict(V.dimensionality) == {u'[length]': 1.0, u'[time]': -1.0} assert_close(D.to_base_units().magnitude, 7.829454643649386) assert dict(D.dimensionality) == {u'[length]': 1.0} Bo = Bond(1000*u.kg/u.m**3, 1.2*u.kg/u.m**3, .0589*u.N/u.m, 2*u.m) assert_close(Bo.to_base_units().magnitude, 665187.2339558573) assert dict(Bo.dimensionality) == {} head = head_from_P(P=98066.5*u.Pa, rho=1000*u.kg/u.m**3) assert_close(head.to_base_units().magnitude, 10.000000000000002) assert dict(head.dimensionality) == {u'[length]': 1.0} roughness = roughness_Farshad('Cr13, bare', 0.05*u.m) assert_close(roughness.to_base_units().magnitude, 5.3141677781137006e-05) assert dict(roughness.dimensionality) == {u'[length]': 1.0} def test_custom_wraps(): A = A_multiple_hole_cylinder(0.01*u.m, 0.1*u.m, [(0.005*u.m, 1)]) assert_close(A.to_base_units().magnitude, 0.004830198704894308) assert dict(A.dimensionality) == {u'[length]': 2.0} V = V_multiple_hole_cylinder(0.01*u.m, 0.1*u.m, [(0.005*u.m, 1)]) assert_close(V.to_base_units().magnitude, 5.890486225480862e-06) assert dict(V.dimensionality) == {u'[length]': 3.0} # custom compressible flow model wrappers functions = [Panhandle_A, Panhandle_B, Weymouth, Spitzglass_high, Oliphant, Fritzsche] values = [42.56082051195928, 42.35366178004172, 32.07729055913029, 29.42670246281681, 28.851535408143057, 39.421535157535565] for f, v in zip(functions, values): ans = f(D=0.340*u.m, P1=90E5*u.Pa, P2=20E5*u.Pa, L=160E3*u.m, SG=0.693, Tavg=277.15*u.K) assert_pint_allclose(ans, v, {u'[length]': 3.0, u'[time]': -1.0}) ans = IGT(D=0.340*u.m, P1=90E5*u.Pa, P2=20E5*u.Pa, L=160E3*u.m, SG=0.693, mu=1E-5*u.Pa*u.s, Tavg=277.15*u.K) assert_pint_allclose(ans, 48.92351786788815, {u'[length]': 3.0, u'[time]': -1.0}) ans = Muller(D=0.340*u.m, P1=90E5*u.Pa, P2=20E5*u.Pa, L=160E3*u.m, SG=0.693, mu=1E-5*u.Pa*u.s, Tavg=277.15*u.K) assert_pint_allclose(ans, 60.45796698148659, {u'[length]': 3.0, u'[time]': -1.0}) nu = nu_mu_converter(rho=1000*u.kg/u.m**3, mu=1E-4*u.Pa*u.s) assert_pint_allclose(nu, 1E-7, {u'[length]': 2.0, u'[time]': -1.0}) mu = nu_mu_converter(rho=1000*u.kg/u.m**3, nu=1E-7*u.m**2/u.s) assert_pint_allclose(mu, 1E-4, {u'[time]': -1.0, u'[length]': -1.0, u'[mass]': 1.0}) SA = SA_tank(D=1.*u.m, L=0*u.m, sideA='ellipsoidal', sideA_a=2*u.m, sideB='ellipsoidal', sideB_a=2*u.m)[0] assert_pint_allclose(SA, 10.124375616183064, {u'[length]': 2.0}) SA, sideA_SA, sideB_SA, lateral_SA = SA_tank(D=1.*u.m, L=0*u.m, sideA='ellipsoidal', sideA_a=2*u.m, sideB='ellipsoidal', sideB_a=2*u.m) expect = [10.124375616183064, 5.062187808091532, 5.062187808091532, 0] for value, expected in zip([SA, sideA_SA, sideB_SA, lateral_SA], expect): assert_pint_allclose(value, expected, {u'[length]': 2.0}) m = isothermal_gas(rho=11.3*u.kg/u.m**3, fd=0.00185*u.dimensionless, P1=1E6*u.Pa, P2=9E5*u.Pa, L=1000*u.m, D=0.5*u.m) assert_pint_allclose(m, 145.484757, {u'[mass]': 1.0, u'[time]': -1.0}) def test_db_functions(): # dB ans = control_valve_noise_g_2011(m=2.22*u.kg/u.s, P1=1E6*u.Pa, P2=7.2E5*u.Pa, T1=450*u.K, rho=5.3*u.kg/u.m**3, gamma=1.22, MW=19.8*u.g/u.mol, Kv=77.85*u.m**3/u.hour, d=0.1*u.m, Di=0.2031*u.m, FL=None, FLP=0.792, FP=0.98, Fd=0.296, t_pipe=0.008*u.m, rho_pipe=8000.0*u.kg/u.m**3, c_pipe=5000.0*u.m/u.s, rho_air=1.293*u.kg/u.m**3, c_air=343.0*u.m/u.s, An=-3.8, Stp=0.2) # assert_pint_allclose(ans, 91.67702674629604, {}) def test_check_signatures(): from fluids.units import check_args_order bad_names = set(['__getattr__']) for name in dir(fluids): if name in bad_names: continue obj = getattr(fluids, name) if isinstance(obj, types.FunctionType): if hasattr(obj, 'func_name') and obj.func_name == '': continue # 2 if hasattr(obj, '__name__') and obj.__name__ == '': continue # 3 check_args_order(obj) def test_differential_pressure_meter_solver(): m = differential_pressure_meter_solver(D=0.07366*u.m, D2=0.05*u.m, P1=200000.0*u.Pa, P2=183000.0*u.Pa, rho=999.1*u.kg/u.m**3, mu=0.0011*u.Pa*u.s, k=1.33*u.dimensionless, meter_type='ISO 5167 orifice', taps='D') assert_pint_allclose(m, 7.702338035732167, {'[mass]': 1, '[time]': -1}) P1 = differential_pressure_meter_solver(D=0.07366*u.m, D2=0.05*u.m, m=m, P2=183000.0*u.Pa, rho=999.1*u.kg/u.m**3, mu=0.0011*u.Pa*u.s, k=1.33*u.dimensionless, meter_type='ISO 5167 orifice', taps='D') assert_pint_allclose(P1, 200000, {'[length]': -1, '[mass]': 1, '[time]': -2}) P2 = differential_pressure_meter_solver(D=0.07366*u.m, D2=0.05*u.m, P1=200000.0*u.Pa, m=m, rho=999.1*u.kg/u.m**3, mu=0.0011*u.Pa*u.s, k=1.33*u.dimensionless, meter_type='ISO 5167 orifice', taps='D') assert_pint_allclose(P2, 183000, {'[length]': -1, '[mass]': 1, '[time]': -2}) D2 = differential_pressure_meter_solver(D=0.07366*u.m, m=m, P1=200000.0*u.Pa, P2=183000.0*u.Pa, rho=999.1*u.kg/u.m**3, mu=0.0011*u.Pa*u.s, k=1.33*u.dimensionless, meter_type='ISO 5167 orifice', taps='D') assert_pint_allclose(D2, .05, {'[length]': 1}) def test_Tank_units_full(): T1 = TANK(L=3*u.m, D=150*u.cm, horizontal=True, sideA=None, sideB=None) # test all methods V = T1.V_from_h(0.1*u.m, 'full') assert_pint_allclose(V, 0.151783071377, u.m**3) h = T1.h_from_V(0.151783071377*u.m**3, method='brenth') assert_pint_allclose(h, 0.1, u.m) h = T1.h_from_V(0.151783071377*u.m**3, 'brenth') assert_pint_allclose(h, 0.1, u.m) # Check the table and approximations T1.set_table(dx=1*u.cm) assert 151 == len(T1.volumes) assert_pint_allclose1d(T1.heights[0:3], [0, 0.01, 0.02], u.m) T1.set_table(n=10) assert 10 == len(T1.volumes) T1.set_table(n=10*u.dimensionless) assert 10 == len(T1.volumes) T1.set_chebyshev_approximators(8, 8) T1.set_chebyshev_approximators(8*u.dimensionless, 8) T1.set_chebyshev_approximators(8, 8*u.dimensionless) assert 16 == len(T1.c_forward) assert 16 == len(T1.c_backward) # Check the properties assert_pint_allclose(T1.h_max, 1.5, u.m) assert_pint_allclose(T1.V_total, 5.301437602932776, u.m**3) assert_pint_allclose(T1.L_over_D, 2, u.dimensionless) assert_pint_allclose(T1.A_sideA, 1.76714586764, u.m**2) assert_pint_allclose(T1.A_sideB, 1.76714586764, u.m**2) assert_pint_allclose(T1.A_lateral, 14.1371669412, u.m**2) assert_pint_allclose(T1.A, 17.6714586764, u.m**2) def test_HelicalCoil_units(): C2 = HelicalCoil(Do=30*u.cm, H=20*u.cm, pitch=5*u.cm, Dt=2*u.cm) C3 = HelicalCoil(2*u.cm, 30*u.cm, 5*u.cm, 20*u.cm) for C1 in [C2, C3]: assert_pint_allclose(C1.Dt, 0.02, u.m) assert_pint_allclose(C1.Do, 0.3, u.m) assert_pint_allclose(C1.Do_total, 0.32, u.m) assert_pint_allclose(C1.pitch, 0.05, u.m) assert_pint_allclose(C1.H, 0.2, u.m) assert_pint_allclose(C1.H_total, 0.22, u.m) assert_pint_allclose(C1.N, 4, u.dimensionless) assert_pint_allclose(C1.tube_circumference, 0.942477796077, u.m) assert_pint_allclose(C1.tube_length, 3.7752126215, u.m) assert_pint_allclose(C1.surface_area, 0.237203604749 , u.m**2) assert_pint_allclose(C1.curvature, 0.06, u.dimensionless) assert_pint_allclose(C1.helix_angle, 0.0530019606897, u.radians) def test_ATMOSPHERE_1976_units(): five_km = ATMOSPHERE_1976(5000*u.m) assert_pint_allclose(five_km.T, 255.675543222, u.K) assert_pint_allclose(five_km.P, 54048.2861458, u.Pa) assert_pint_allclose(five_km.rho, 0.73642842078, u.kg/u.m**3) assert_pint_allclose(five_km.g, 9.79124107698, u.m/u.s**2) assert_pint_allclose(five_km.mu, 1.62824813536e-05, u.Pa*u.s) assert_pint_allclose(five_km.k, 0.0227319029514, u.W/u.K/u.m) assert_pint_allclose(five_km.v_sonic, 320.54551967, u.m/u.s) assert_pint_allclose(five_km.sonic_velocity(300*u.K), 347.220809082, u.m/u.s) # Test the staticmethod works alone assert_pint_allclose(ATMOSPHERE_1976.sonic_velocity(300*u.K), 347.220809082, u.m/u.s) # Check AttribtueError is property raised on __getstate__ for classes # as they now have a __getattr_ method import copy copy.copy(five_km) copy.deepcopy(five_km) def test_ATMOSPHERE_NRLMSISE00(): a = ATMOSPHERE_NRLMSISE00(Z=1E3*u.m, latitude=45*u.degrees, longitude=45*u.degrees, day=150*u.day) assert_pint_allclose(a.T, 285.544086062, u.K) assert_pint_allclose(a.rho, 1.10190620264, u.kg/u.m**3) assert_pint_allclose(a.O2_density, 4.80470350725e+24, u.count/u.m**3) assert_pint_allclose(a.day, 12960000, u.day)fluids-1.0.22/tests/test_nrlmsise00_file_output.py0000644000175000017500000002177714302004506021606 0ustar nileshnilesh# -*- coding: utf-8 -*- '''Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2016, 2017, 2020 Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. The `gtd7_file_output` test is copyright: 12/19/2013 Author: Joshua Milas Python Version: 3.3.2 The NRLMSISE-00 model 2001 ported to python Based off of Dominik Brodowski 20100516 version available here http://www.brodo.de/english/pub/nrlmsise/ This is the test program, and the output should be compared to The MIT License (MIT) Copyright (c) 2016 Joshua Milas Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. /* -------------------------------------------------------------------- */ /* --------- N R L M S I S E - 0 0 M O D E L 2 0 0 1 ---------- */ /* -------------------------------------------------------------------- */ /* This file is part of the NRLMSISE-00 C source code package - release * 20041227 * * The NRLMSISE-00 model was developed by Mike Picone, Alan Hedin, and * Doug Drob. They also wrote a NRLMSISE-00 distribution package in * FORTRAN which is available at * http://uap-www.nrl.navy.mil/models_web/msis/msis_home.htm * * Dominik Brodowski implemented and maintains this C version. You can * reach him at mail@brodo.de. See the file "DOCUMENTATION" for details, * and check http://www.brodo.de/english/pub/nrlmsise/index.html for * updated releases of this package. */ ''' from __future__ import division import time from fluids.nrlmsise00.nrlmsise_00 import gtd7 from fluids.nrlmsise00.nrlmsise_00_header import nrlmsise_output, nrlmsise_input, nrlmsise_flags , ap_array import hashlib import os import pytest base = '' def build_file(txt, end=''): # TODO: replace print with this call. Return a giant string, not a plain text output. # It is important to not have to start a new python process - slow global base base += txt + end def gtd7_file_output(): output = [nrlmsise_output() for _ in range(17)] Input = [nrlmsise_input() for _ in range(17)] flags = nrlmsise_flags() aph = ap_array() for i in range(7): aph.a[i]=100 flags.switches[0] = 0 for i in range(1, 24): flags.switches[i]=1 for i in range(17): Input[i].doy=172; Input[i].year=0; #/* without effect */ Input[i].sec=29000; Input[i].alt=400; Input[i].g_lat=60; Input[i].g_long=-70; Input[i].lst=16; Input[i].f107A=150; Input[i].f107=150; Input[i].ap=4; Input[1].doy=81; Input[2].sec=75000; Input[2].alt=1000; Input[3].alt=100; Input[10].alt=0; Input[11].alt=10; Input[12].alt=30; Input[13].alt=50; Input[14].alt=70; Input[16].alt=100; Input[4].g_lat=0; Input[5].g_long=0; Input[6].lst=4; Input[7].f107A=70; Input[8].f107=180; Input[9].ap=40; Input[15].ap_a = aph Input[16].ap_a = aph #evaluate 0 to 14 for i in range(15): gtd7(Input[i], flags, output[i]) #/* evaluate 15 and 16 */ flags.switches[9] = -1 for i in range(15, 17): gtd7(Input[i], flags, output[i]) #/* output type 1 */ for i in range(17): build_file('\n', end='') for j in range(9): build_file('%E ' % output[i].d[j], end='') build_file('%E ' % output[i].t[0], end='') build_file('%E ' % output[i].t[1], end='\n') #/* DL omitted */ #/* output type 2 */ for i in range(3): build_file('\n', end='') build_file("\nDAY ", end='') for j in range(5): build_file(" %3i" % Input[i*5+j].doy, end='') build_file("\nUT ", end='') for j in range(5): build_file(" %5.0f" % Input[i*5+j].sec, end='') build_file("\nALT ", end='') for j in range(5): build_file(" %4.0f" % Input[i*5+j].alt, end='') build_file("\nLAT ", end='') for j in range(5): build_file(" %3.0f" % Input[i*5+j].g_lat, end='') build_file("\nLONG ", end='') for j in range(5): build_file(" %3.0f" % Input[i*5+j].g_long, end='') build_file("\nLST ", end='') for j in range(5): build_file(" %5.0f" % Input[i*5+j].lst, end='') build_file("\nF107A ", end='') for j in range(5): build_file(" %3.0f" % Input[i*5+j].f107A, end='') build_file("\nF107 ", end='') for j in range(5): build_file(" %3.0f" % Input[i*5+j].f107, end='') build_file('\n\n', end='') build_file("\nTINF ", end='') for j in range(5): build_file(" %7.2f" % output[i*5+j].t[0], end='') build_file("\nTG ", end='') for j in range(5): build_file(" %7.2f" % output[i*5+j].t[1], end='') build_file("\nHE ", end='') for j in range(5): build_file(" %1.3e" % output[i*5+j].d[0], end='') build_file("\nO ", end='') for j in range(5): build_file(" %1.3e" % output[i*5+j].d[1], end='') build_file("\nN2 ", end='') for j in range(5): build_file(" %1.3e" % output[i*5+j].d[2], end='') build_file("\nO2 ", end='') for j in range(5): build_file(" %1.3e" % output[i*5+j].d[3], end='') build_file("\nAR ", end='') for j in range(5): build_file(" %1.3e" % output[i*5+j].d[4], end='') build_file("\nH ", end='') for j in range(5): build_file(" %1.3e" % output[i*5+j].d[6], end='') build_file("\nN ", end='') for j in range(5): build_file(" %1.3e" % output[i*5+j].d[7], end='') build_file("\nANM ", end='') for j in range(5): build_file(" %1.3e" % output[i*5+j].d[8], end='') build_file("\nRHO ", end='') for j in range(5): build_file(" %1.3e" % output[i*5+j].d[5], end='') build_file('\n', '\n') known_hash = 'bb504fc1ab541260f13b2d2d89884c4d' @pytest.mark.slow def test_NRLMSISE00_against_C_output(): global base # Test results currently match up exactly with those of the C test file. script = os.path.join(os.path.dirname(__file__), 'nrlmsise_00_test.py') # Load known data known = os.path.join(os.path.dirname(__file__), 'data_from_C_version.txt') # On a separate process, run the test script, and capture its output from sys import platform if platform == "linux" or platform == "linux2" or platform == "darwin": # Run the test only on linux; print statements to files have different # formats on windows gtd7_file_output() response = base try: response = response.encode("utf-8") except: pass #proc = subprocess.Popen(["python", script], stdout=subprocess.PIPE) #response = proc.communicate()[0] # Hash it, check it is as expected. hasher = hashlib.md5() hasher.update(response) expect = hasher.hexdigest() assert expect == known_hash base = '' fluids-1.0.22/tests/test_safety_valve.py0000644000175000017500000000650114302004506017647 0ustar nileshnilesh# -*- coding: utf-8 -*- '''Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2016, 2017 Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.''' from __future__ import division from fluids.safety_valve import * from fluids.numerics import assert_close, assert_close1d from fluids.constants import atm import pytest def test_safety_valve(): A = API520_round_size(1E-4) assert_close(A, 0.00012645136) assert 'E' == API526_letters[API526_A.index(API520_round_size(1E-4))] with pytest.raises(Exception): API520_round_size(1) C1, C2 = API520_C(1.35), API520_C(1.) Cs = [0.02669419967057233, 0.023945830445454768] assert_close1d([C1, C2], Cs) F2 = API520_F2(1.8, 1E6, 7E5) assert_close(F2, 0.8600724121105563) Kv_calcs = [API520_Kv(100), API520_Kv(4525), API520_Kv(1E5)] Kvs = [0.6157445891444229, 0.9639390032437682, 0.9973949303006829] assert_close1d(Kv_calcs, Kvs) KN = API520_N(1774700) assert_close(KN, 1) with pytest.raises(Exception): API520_SH(593+273.15, 21E6) with pytest.raises(Exception): API520_SH(1000, 1066E3) # Test under 15 psig sat case assert API520_SH(320, 5E4) == 1 from fluids.safety_valve import _KSH_Pa, _KSH_tempKs KSH_tot = sum([API520_SH(T, P) for P in _KSH_Pa[:-1] for T in _KSH_tempKs]) assert_close(229.93, KSH_tot) KW = [API520_W(1E6, 3E5), API520_W(1E6, 1E5)] assert_close1d(KW, [0.9511471848008564, 1]) B_calc = [API520_B(1E6, 3E5), API520_B(1E6, 5E5), API520_B(1E6, 5E5, overpressure=.16), API520_B(1E6, 5E5, overpressure=.21)] Bs = [1, 0.7929945420944432, 0.94825439189912, 1] assert_close1d(B_calc, Bs) # Issue # 45 assert 1 == API520_B(2*atm, 1.5*atm, overpressure=.21) with pytest.raises(Exception): API520_B(1E6, 5E5, overpressure=.17) with pytest.raises(Exception): API520_B(1E6, 7E5, overpressure=.16) A1 = API520_A_g(m=24270/3600., T=348., Z=0.90, MW=51., k=1.11, P1=670E3, Kb=1.0, Kc=1.0) A2 = API520_A_g(m=24270/3600., T=348., Z=0.90, MW=51., k=1.11, P1=670E3, P2=532E3, Kd=0.975, Kb=1.0, Kc=1.0) As = [0.0036990460646834414, 0.004248358775943481] assert_close1d([A1, A2], As) A = API520_A_steam(m=69615/3600., T=592.5, P1=12236E3, Kd=0.975, Kb=1.0, Kc=1.0) assert_close(A, 0.0011034712423692733) fluids-1.0.22/tests/nrlmsise00/0000755000175000017500000000000014302004506015540 5ustar nileshnileshfluids-1.0.22/tests/nrlmsise00/known_data_day_of_year.txt0000644000175000017500000010525514302004506022777 0ustar nileshnilesh100.0 6.104E+11 9.118E+12 1.964E+12 5.506E-10 176.5 1027 1.398E+08 9.317E+10 2.131E+07 2.147E+05 100.0 6.093E+11 9.119E+12 1.965E+12 5.506E-10 176.5 1027 1.397E+08 9.318E+10 2.131E+07 2.150E+05 100.0 6.083E+11 9.120E+12 1.967E+12 5.507E-10 176.5 1027 1.395E+08 9.320E+10 2.131E+07 2.153E+05 100.0 6.073E+11 9.122E+12 1.968E+12 5.509E-10 176.4 1027 1.394E+08 9.324E+10 2.131E+07 2.156E+05 100.0 6.064E+11 9.126E+12 1.970E+12 5.511E-10 176.4 1027 1.392E+08 9.329E+10 2.131E+07 2.160E+05 100.0 6.054E+11 9.131E+12 1.972E+12 5.514E-10 176.4 1027 1.391E+08 9.334E+10 2.132E+07 2.164E+05 100.0 6.046E+11 9.137E+12 1.974E+12 5.518E-10 176.3 1027 1.390E+08 9.341E+10 2.132E+07 2.168E+05 100.0 6.037E+11 9.144E+12 1.976E+12 5.522E-10 176.3 1027 1.389E+08 9.349E+10 2.133E+07 2.173E+05 100.0 6.029E+11 9.152E+12 1.979E+12 5.527E-10 176.3 1027 1.388E+08 9.358E+10 2.134E+07 2.178E+05 100.0 6.021E+11 9.161E+12 1.982E+12 5.533E-10 176.3 1027 1.388E+08 9.368E+10 2.135E+07 2.184E+05 100.0 6.014E+11 9.172E+12 1.984E+12 5.539E-10 176.3 1027 1.387E+08 9.380E+10 2.136E+07 2.190E+05 100.0 6.007E+11 9.183E+12 1.988E+12 5.546E-10 176.2 1027 1.387E+08 9.392E+10 2.137E+07 2.196E+05 100.0 6.001E+11 9.196E+12 1.991E+12 5.554E-10 176.2 1027 1.387E+08 9.405E+10 2.138E+07 2.203E+05 100.0 5.995E+11 9.209E+12 1.995E+12 5.562E-10 176.2 1027 1.386E+08 9.420E+10 2.140E+07 2.210E+05 100.0 5.989E+11 9.224E+12 1.998E+12 5.571E-10 176.2 1027 1.386E+08 9.435E+10 2.142E+07 2.217E+05 100.0 5.983E+11 9.240E+12 2.002E+12 5.580E-10 176.2 1027 1.387E+08 9.452E+10 2.143E+07 2.225E+05 100.0 5.978E+11 9.257E+12 2.006E+12 5.590E-10 176.1 1027 1.387E+08 9.469E+10 2.145E+07 2.233E+05 100.0 5.974E+11 9.275E+12 2.011E+12 5.601E-10 176.1 1027 1.387E+08 9.488E+10 2.147E+07 2.241E+05 100.0 5.969E+11 9.294E+12 2.015E+12 5.612E-10 176.1 1027 1.388E+08 9.508E+10 2.149E+07 2.250E+05 100.0 5.965E+11 9.314E+12 2.020E+12 5.624E-10 176.1 1027 1.388E+08 9.528E+10 2.151E+07 2.259E+05 100.0 5.962E+11 9.335E+12 2.024E+12 5.636E-10 176.1 1027 1.389E+08 9.550E+10 2.154E+07 2.269E+05 100.0 5.959E+11 9.357E+12 2.029E+12 5.649E-10 176.1 1027 1.390E+08 9.572E+10 2.156E+07 2.278E+05 100.0 5.956E+11 9.380E+12 2.034E+12 5.663E-10 176.0 1027 1.391E+08 9.595E+10 2.158E+07 2.288E+05 100.0 5.953E+11 9.404E+12 2.040E+12 5.677E-10 176.0 1027 1.392E+08 9.620E+10 2.161E+07 2.299E+05 100.0 5.951E+11 9.429E+12 2.045E+12 5.691E-10 176.0 1027 1.393E+08 9.645E+10 2.164E+07 2.309E+05 100.0 5.949E+11 9.455E+12 2.051E+12 5.706E-10 176.0 1027 1.394E+08 9.671E+10 2.167E+07 2.320E+05 100.0 5.947E+11 9.481E+12 2.056E+12 5.722E-10 176.0 1027 1.395E+08 9.697E+10 2.169E+07 2.331E+05 100.0 5.945E+11 9.509E+12 2.062E+12 5.738E-10 176.0 1027 1.397E+08 9.725E+10 2.172E+07 2.343E+05 100.0 5.944E+11 9.537E+12 2.068E+12 5.754E-10 176.0 1027 1.398E+08 9.753E+10 2.175E+07 2.355E+05 100.0 5.943E+11 9.566E+12 2.074E+12 5.771E-10 176.0 1027 1.400E+08 9.782E+10 2.178E+07 2.367E+05 100.0 5.942E+11 9.596E+12 2.080E+12 5.788E-10 176.0 1027 1.401E+08 9.812E+10 2.181E+07 2.379E+05 100.0 5.941E+11 9.627E+12 2.086E+12 5.806E-10 176.0 1027 1.403E+08 9.842E+10 2.185E+07 2.391E+05 100.0 5.941E+11 9.658E+12 2.093E+12 5.824E-10 176.0 1027 1.405E+08 9.873E+10 2.188E+07 2.404E+05 100.0 5.940E+11 9.690E+12 2.099E+12 5.842E-10 176.0 1027 1.407E+08 9.904E+10 2.191E+07 2.417E+05 100.0 5.940E+11 9.722E+12 2.105E+12 5.861E-10 176.0 1027 1.409E+08 9.936E+10 2.194E+07 2.430E+05 100.0 5.940E+11 9.755E+12 2.112E+12 5.880E-10 176.0 1027 1.411E+08 9.969E+10 2.198E+07 2.443E+05 100.0 5.940E+11 9.789E+12 2.119E+12 5.899E-10 176.0 1027 1.413E+08 1.000E+11 2.201E+07 2.457E+05 100.0 5.940E+11 9.823E+12 2.125E+12 5.919E-10 176.0 1027 1.415E+08 1.003E+11 2.204E+07 2.470E+05 100.0 5.940E+11 9.857E+12 2.132E+12 5.939E-10 176.0 1027 1.417E+08 1.007E+11 2.208E+07 2.484E+05 100.0 5.940E+11 9.892E+12 2.138E+12 5.959E-10 176.0 1027 1.419E+08 1.010E+11 2.211E+07 2.498E+05 100.0 5.940E+11 9.928E+12 2.145E+12 5.979E-10 176.0 1027 1.421E+08 1.014E+11 2.215E+07 2.512E+05 100.0 5.940E+11 9.963E+12 2.152E+12 5.999E-10 176.1 1027 1.423E+08 1.017E+11 2.218E+07 2.526E+05 100.0 5.939E+11 9.999E+12 2.158E+12 6.020E-10 176.1 1027 1.425E+08 1.021E+11 2.221E+07 2.541E+05 100.0 5.939E+11 1.004E+13 2.165E+12 6.040E-10 176.1 1027 1.427E+08 1.024E+11 2.225E+07 2.555E+05 100.0 5.939E+11 1.007E+13 2.172E+12 6.061E-10 176.1 1027 1.429E+08 1.028E+11 2.228E+07 2.569E+05 100.0 5.938E+11 1.011E+13 2.178E+12 6.082E-10 176.1 1027 1.431E+08 1.031E+11 2.231E+07 2.584E+05 100.0 5.937E+11 1.014E+13 2.185E+12 6.102E-10 176.1 1027 1.433E+08 1.035E+11 2.234E+07 2.598E+05 100.0 5.936E+11 1.018E+13 2.191E+12 6.123E-10 176.2 1027 1.435E+08 1.038E+11 2.237E+07 2.613E+05 100.0 5.935E+11 1.022E+13 2.198E+12 6.144E-10 176.2 1027 1.437E+08 1.041E+11 2.241E+07 2.627E+05 100.0 5.934E+11 1.025E+13 2.204E+12 6.164E-10 176.2 1027 1.439E+08 1.045E+11 2.244E+07 2.642E+05 100.0 5.932E+11 1.029E+13 2.210E+12 6.185E-10 176.2 1027 1.441E+08 1.048E+11 2.246E+07 2.656E+05 100.0 5.930E+11 1.033E+13 2.217E+12 6.205E-10 176.3 1027 1.443E+08 1.052E+11 2.249E+07 2.670E+05 100.0 5.927E+11 1.036E+13 2.223E+12 6.225E-10 176.3 1027 1.444E+08 1.055E+11 2.252E+07 2.685E+05 100.0 5.925E+11 1.040E+13 2.229E+12 6.245E-10 176.3 1027 1.446E+08 1.058E+11 2.255E+07 2.699E+05 100.0 5.921E+11 1.043E+13 2.234E+12 6.265E-10 176.4 1027 1.448E+08 1.062E+11 2.257E+07 2.713E+05 100.0 5.918E+11 1.047E+13 2.240E+12 6.284E-10 176.4 1027 1.449E+08 1.065E+11 2.260E+07 2.727E+05 100.0 5.914E+11 1.050E+13 2.245E+12 6.303E-10 176.4 1027 1.450E+08 1.068E+11 2.262E+07 2.741E+05 100.0 5.909E+11 1.054E+13 2.251E+12 6.322E-10 176.5 1027 1.452E+08 1.071E+11 2.264E+07 2.754E+05 100.0 5.904E+11 1.057E+13 2.256E+12 6.340E-10 176.5 1027 1.453E+08 1.074E+11 2.266E+07 2.768E+05 100.0 5.898E+11 1.060E+13 2.261E+12 6.358E-10 176.6 1027 1.454E+08 1.077E+11 2.268E+07 2.781E+05 100.0 5.892E+11 1.064E+13 2.265E+12 6.376E-10 176.6 1027 1.455E+08 1.080E+11 2.270E+07 2.794E+05 100.0 5.885E+11 1.067E+13 2.270E+12 6.393E-10 176.7 1027 1.455E+08 1.083E+11 2.271E+07 2.807E+05 100.0 5.877E+11 1.070E+13 2.274E+12 6.409E-10 176.7 1027 1.456E+08 1.085E+11 2.273E+07 2.819E+05 100.0 5.869E+11 1.073E+13 2.278E+12 6.425E-10 176.8 1027 1.456E+08 1.088E+11 2.274E+07 2.831E+05 100.0 5.860E+11 1.076E+13 2.282E+12 6.440E-10 176.8 1027 1.457E+08 1.090E+11 2.275E+07 2.843E+05 100.0 5.851E+11 1.079E+13 2.285E+12 6.455E-10 176.9 1027 1.457E+08 1.093E+11 2.276E+07 2.854E+05 100.0 5.840E+11 1.081E+13 2.289E+12 6.469E-10 176.9 1027 1.457E+08 1.095E+11 2.276E+07 2.866E+05 100.0 5.829E+11 1.084E+13 2.292E+12 6.483E-10 177.0 1027 1.456E+08 1.097E+11 2.277E+07 2.876E+05 100.0 5.818E+11 1.086E+13 2.294E+12 6.496E-10 177.0 1027 1.456E+08 1.099E+11 2.277E+07 2.887E+05 100.0 5.805E+11 1.089E+13 2.297E+12 6.508E-10 177.1 1027 1.455E+08 1.101E+11 2.277E+07 2.897E+05 100.0 5.792E+11 1.091E+13 2.299E+12 6.519E-10 177.2 1027 1.454E+08 1.103E+11 2.277E+07 2.907E+05 100.0 5.778E+11 1.093E+13 2.301E+12 6.530E-10 177.2 1027 1.453E+08 1.104E+11 2.276E+07 2.916E+05 100.0 5.763E+11 1.095E+13 2.302E+12 6.540E-10 177.3 1027 1.452E+08 1.106E+11 2.276E+07 2.925E+05 100.0 5.747E+11 1.097E+13 2.303E+12 6.549E-10 177.4 1027 1.451E+08 1.107E+11 2.275E+07 2.933E+05 100.0 5.730E+11 1.099E+13 2.304E+12 6.557E-10 177.5 1027 1.449E+08 1.108E+11 2.274E+07 2.941E+05 100.0 5.713E+11 1.100E+13 2.305E+12 6.564E-10 177.5 1027 1.447E+08 1.109E+11 2.272E+07 2.948E+05 100.0 5.694E+11 1.102E+13 2.305E+12 6.570E-10 177.6 1027 1.445E+08 1.110E+11 2.271E+07 2.955E+05 100.0 5.675E+11 1.103E+13 2.305E+12 6.576E-10 177.7 1027 1.443E+08 1.111E+11 2.269E+07 2.961E+05 100.0 5.655E+11 1.104E+13 2.304E+12 6.580E-10 177.8 1027 1.440E+08 1.111E+11 2.267E+07 2.967E+05 100.0 5.634E+11 1.105E+13 2.304E+12 6.584E-10 177.9 1027 1.437E+08 1.112E+11 2.264E+07 2.972E+05 100.0 5.612E+11 1.106E+13 2.302E+12 6.586E-10 178.0 1027 1.434E+08 1.112E+11 2.262E+07 2.977E+05 100.0 5.589E+11 1.107E+13 2.301E+12 6.588E-10 178.1 1027 1.431E+08 1.112E+11 2.259E+07 2.981E+05 100.0 5.565E+11 1.107E+13 2.299E+12 6.589E-10 178.1 1027 1.427E+08 1.112E+11 2.256E+07 2.984E+05 100.0 5.540E+11 1.107E+13 2.297E+12 6.588E-10 178.2 1027 1.424E+08 1.111E+11 2.252E+07 2.987E+05 100.0 5.515E+11 1.108E+13 2.294E+12 6.587E-10 178.3 1027 1.420E+08 1.111E+11 2.249E+07 2.990E+05 100.0 5.488E+11 1.108E+13 2.291E+12 6.584E-10 178.4 1027 1.415E+08 1.110E+11 2.245E+07 2.992E+05 100.0 5.461E+11 1.107E+13 2.288E+12 6.581E-10 178.5 1027 1.411E+08 1.109E+11 2.241E+07 2.993E+05 100.0 5.433E+11 1.107E+13 2.284E+12 6.576E-10 178.6 1027 1.406E+08 1.108E+11 2.236E+07 2.994E+05 100.0 5.404E+11 1.106E+13 2.280E+12 6.571E-10 178.7 1027 1.401E+08 1.107E+11 2.232E+07 2.994E+05 100.0 5.374E+11 1.106E+13 2.275E+12 6.564E-10 178.9 1027 1.396E+08 1.105E+11 2.227E+07 2.993E+05 100.0 5.343E+11 1.105E+13 2.271E+12 6.556E-10 179.0 1027 1.390E+08 1.104E+11 2.222E+07 2.992E+05 100.0 5.311E+11 1.104E+13 2.265E+12 6.548E-10 179.1 1027 1.385E+08 1.102E+11 2.216E+07 2.990E+05 100.0 5.279E+11 1.102E+13 2.260E+12 6.538E-10 179.2 1027 1.379E+08 1.100E+11 2.211E+07 2.988E+05 100.0 5.246E+11 1.101E+13 2.254E+12 6.527E-10 179.3 1027 1.373E+08 1.098E+11 2.205E+07 2.985E+05 100.0 5.212E+11 1.099E+13 2.248E+12 6.515E-10 179.4 1027 1.366E+08 1.095E+11 2.198E+07 2.981E+05 100.0 5.177E+11 1.098E+13 2.241E+12 6.502E-10 179.5 1027 1.360E+08 1.093E+11 2.192E+07 2.977E+05 100.0 5.142E+11 1.096E+13 2.234E+12 6.488E-10 179.7 1027 1.353E+08 1.090E+11 2.185E+07 2.973E+05 100.0 5.106E+11 1.093E+13 2.227E+12 6.473E-10 179.8 1027 1.346E+08 1.087E+11 2.179E+07 2.967E+05 100.0 5.069E+11 1.091E+13 2.220E+12 6.457E-10 179.9 1027 1.339E+08 1.084E+11 2.171E+07 2.961E+05 100.0 5.032E+11 1.089E+13 2.212E+12 6.441E-10 180.1 1027 1.331E+08 1.081E+11 2.164E+07 2.955E+05 100.0 4.994E+11 1.086E+13 2.204E+12 6.423E-10 180.2 1027 1.324E+08 1.078E+11 2.157E+07 2.948E+05 100.0 4.955E+11 1.083E+13 2.195E+12 6.404E-10 180.3 1027 1.316E+08 1.074E+11 2.149E+07 2.941E+05 100.0 4.916E+11 1.080E+13 2.187E+12 6.384E-10 180.5 1027 1.308E+08 1.071E+11 2.141E+07 2.933E+05 100.0 4.876E+11 1.077E+13 2.178E+12 6.363E-10 180.6 1027 1.300E+08 1.067E+11 2.133E+07 2.924E+05 100.0 4.836E+11 1.074E+13 2.168E+12 6.342E-10 180.7 1027 1.292E+08 1.063E+11 2.124E+07 2.915E+05 100.0 4.796E+11 1.070E+13 2.159E+12 6.319E-10 180.9 1027 1.283E+08 1.059E+11 2.116E+07 2.905E+05 100.0 4.754E+11 1.067E+13 2.149E+12 6.296E-10 181.0 1027 1.274E+08 1.054E+11 2.107E+07 2.895E+05 100.0 4.713E+11 1.063E+13 2.139E+12 6.272E-10 181.2 1027 1.266E+08 1.050E+11 2.098E+07 2.885E+05 100.0 4.671E+11 1.059E+13 2.129E+12 6.247E-10 181.3 1027 1.257E+08 1.045E+11 2.089E+07 2.874E+05 100.0 4.629E+11 1.055E+13 2.118E+12 6.221E-10 181.4 1027 1.248E+08 1.041E+11 2.080E+07 2.863E+05 100.0 4.586E+11 1.051E+13 2.108E+12 6.195E-10 181.6 1027 1.239E+08 1.036E+11 2.071E+07 2.851E+05 100.0 4.544E+11 1.047E+13 2.097E+12 6.167E-10 181.7 1027 1.229E+08 1.031E+11 2.061E+07 2.839E+05 100.0 4.500E+11 1.042E+13 2.086E+12 6.139E-10 181.9 1027 1.220E+08 1.026E+11 2.051E+07 2.826E+05 100.0 4.457E+11 1.038E+13 2.074E+12 6.111E-10 182.1 1027 1.210E+08 1.021E+11 2.042E+07 2.813E+05 100.0 4.414E+11 1.033E+13 2.063E+12 6.082E-10 182.2 1027 1.201E+08 1.016E+11 2.032E+07 2.800E+05 100.0 4.370E+11 1.028E+13 2.051E+12 6.052E-10 182.4 1027 1.191E+08 1.010E+11 2.022E+07 2.786E+05 100.0 4.327E+11 1.023E+13 2.040E+12 6.022E-10 182.5 1027 1.181E+08 1.005E+11 2.012E+07 2.772E+05 100.0 4.283E+11 1.018E+13 2.028E+12 5.991E-10 182.7 1027 1.172E+08 9.995E+10 2.001E+07 2.758E+05 100.0 4.239E+11 1.013E+13 2.016E+12 5.960E-10 182.8 1027 1.162E+08 9.939E+10 1.991E+07 2.743E+05 100.0 4.196E+11 1.008E+13 2.004E+12 5.928E-10 183.0 1027 1.152E+08 9.882E+10 1.981E+07 2.729E+05 100.0 4.152E+11 1.003E+13 1.992E+12 5.896E-10 183.2 1027 1.142E+08 9.825E+10 1.970E+07 2.714E+05 100.0 4.108E+11 9.978E+12 1.979E+12 5.863E-10 183.3 1027 1.132E+08 9.767E+10 1.960E+07 2.698E+05 100.0 4.065E+11 9.924E+12 1.967E+12 5.830E-10 183.5 1027 1.122E+08 9.709E+10 1.949E+07 2.683E+05 100.0 4.022E+11 9.870E+12 1.955E+12 5.797E-10 183.7 1027 1.112E+08 9.650E+10 1.939E+07 2.667E+05 100.0 3.978E+11 9.816E+12 1.942E+12 5.763E-10 183.8 1027 1.102E+08 9.591E+10 1.928E+07 2.652E+05 100.0 3.936E+11 9.761E+12 1.930E+12 5.730E-10 184.0 1027 1.092E+08 9.531E+10 1.917E+07 2.636E+05 100.0 3.893E+11 9.705E+12 1.917E+12 5.696E-10 184.1 1027 1.082E+08 9.472E+10 1.907E+07 2.620E+05 100.0 3.850E+11 9.649E+12 1.905E+12 5.662E-10 184.3 1027 1.072E+08 9.411E+10 1.896E+07 2.604E+05 100.0 3.808E+11 9.593E+12 1.892E+12 5.627E-10 184.5 1027 1.063E+08 9.351E+10 1.885E+07 2.588E+05 100.0 3.766E+11 9.537E+12 1.880E+12 5.593E-10 184.7 1027 1.053E+08 9.291E+10 1.875E+07 2.571E+05 100.0 3.725E+11 9.480E+12 1.867E+12 5.558E-10 184.8 1027 1.043E+08 9.230E+10 1.864E+07 2.555E+05 100.0 3.684E+11 9.423E+12 1.855E+12 5.524E-10 185.0 1027 1.033E+08 9.170E+10 1.853E+07 2.539E+05 100.0 3.643E+11 9.366E+12 1.842E+12 5.489E-10 185.2 1027 1.023E+08 9.110E+10 1.843E+07 2.522E+05 100.0 3.603E+11 9.309E+12 1.830E+12 5.455E-10 185.3 1027 1.014E+08 9.049E+10 1.832E+07 2.506E+05 100.0 3.563E+11 9.253E+12 1.818E+12 5.421E-10 185.5 1027 1.004E+08 8.989E+10 1.822E+07 2.490E+05 100.0 3.523E+11 9.196E+12 1.806E+12 5.386E-10 185.7 1027 9.949E+07 8.929E+10 1.811E+07 2.474E+05 100.0 3.484E+11 9.139E+12 1.794E+12 5.352E-10 185.8 1027 9.856E+07 8.870E+10 1.801E+07 2.457E+05 100.0 3.446E+11 9.083E+12 1.782E+12 5.318E-10 186.0 1027 9.763E+07 8.811E+10 1.791E+07 2.441E+05 100.0 3.408E+11 9.027E+12 1.770E+12 5.284E-10 186.2 1027 9.672E+07 8.752E+10 1.780E+07 2.425E+05 100.0 3.371E+11 8.971E+12 1.758E+12 5.251E-10 186.3 1027 9.581E+07 8.694E+10 1.770E+07 2.410E+05 100.0 3.334E+11 8.915E+12 1.746E+12 5.217E-10 186.5 1027 9.492E+07 8.636E+10 1.760E+07 2.394E+05 100.0 3.298E+11 8.860E+12 1.735E+12 5.184E-10 186.7 1027 9.404E+07 8.578E+10 1.750E+07 2.378E+05 100.0 3.263E+11 8.806E+12 1.723E+12 5.152E-10 186.8 1027 9.317E+07 8.522E+10 1.740E+07 2.363E+05 100.0 3.228E+11 8.752E+12 1.712E+12 5.119E-10 187.0 1027 9.232E+07 8.465E+10 1.731E+07 2.348E+05 100.0 3.193E+11 8.698E+12 1.701E+12 5.087E-10 187.2 1027 9.148E+07 8.410E+10 1.721E+07 2.332E+05 100.0 3.160E+11 8.645E+12 1.690E+12 5.055E-10 187.3 1027 9.065E+07 8.355E+10 1.712E+07 2.318E+05 100.0 3.127E+11 8.593E+12 1.680E+12 5.024E-10 187.5 1027 8.984E+07 8.301E+10 1.703E+07 2.303E+05 100.0 3.094E+11 8.541E+12 1.669E+12 4.993E-10 187.6 1027 8.904E+07 8.248E+10 1.693E+07 2.288E+05 100.0 3.063E+11 8.490E+12 1.659E+12 4.963E-10 187.8 1027 8.826E+07 8.196E+10 1.684E+07 2.274E+05 100.0 3.032E+11 8.440E+12 1.649E+12 4.933E-10 188.0 1027 8.749E+07 8.144E+10 1.676E+07 2.260E+05 100.0 3.002E+11 8.391E+12 1.639E+12 4.904E-10 188.1 1027 8.674E+07 8.094E+10 1.667E+07 2.247E+05 100.0 2.972E+11 8.342E+12 1.629E+12 4.875E-10 188.3 1027 8.601E+07 8.044E+10 1.658E+07 2.233E+05 100.0 2.943E+11 8.294E+12 1.619E+12 4.847E-10 188.4 1027 8.529E+07 7.996E+10 1.650E+07 2.220E+05 100.0 2.915E+11 8.248E+12 1.610E+12 4.819E-10 188.6 1027 8.459E+07 7.948E+10 1.642E+07 2.207E+05 100.0 2.888E+11 8.202E+12 1.601E+12 4.792E-10 188.7 1027 8.391E+07 7.901E+10 1.634E+07 2.194E+05 100.0 2.861E+11 8.157E+12 1.592E+12 4.765E-10 188.9 1027 8.325E+07 7.856E+10 1.626E+07 2.182E+05 100.0 2.835E+11 8.113E+12 1.583E+12 4.739E-10 189.0 1027 8.260E+07 7.812E+10 1.619E+07 2.170E+05 100.0 2.810E+11 8.070E+12 1.575E+12 4.714E-10 189.2 1027 8.197E+07 7.768E+10 1.611E+07 2.158E+05 100.0 2.786E+11 8.029E+12 1.567E+12 4.689E-10 189.3 1027 8.136E+07 7.726E+10 1.604E+07 2.147E+05 100.0 2.762E+11 7.988E+12 1.559E+12 4.665E-10 189.5 1027 8.077E+07 7.685E+10 1.597E+07 2.136E+05 100.0 2.740E+11 7.948E+12 1.551E+12 4.642E-10 189.6 1027 8.020E+07 7.645E+10 1.590E+07 2.125E+05 100.0 2.718E+11 7.910E+12 1.544E+12 4.619E-10 189.7 1027 7.964E+07 7.607E+10 1.584E+07 2.115E+05 100.0 2.696E+11 7.873E+12 1.537E+12 4.597E-10 189.9 1027 7.911E+07 7.570E+10 1.578E+07 2.105E+05 100.0 2.676E+11 7.837E+12 1.530E+12 4.576E-10 190.0 1027 7.859E+07 7.534E+10 1.571E+07 2.095E+05 100.0 2.656E+11 7.802E+12 1.523E+12 4.556E-10 190.1 1027 7.810E+07 7.499E+10 1.566E+07 2.086E+05 100.0 2.637E+11 7.768E+12 1.517E+12 4.536E-10 190.2 1027 7.762E+07 7.465E+10 1.560E+07 2.077E+05 100.0 2.619E+11 7.735E+12 1.511E+12 4.517E-10 190.4 1027 7.716E+07 7.433E+10 1.555E+07 2.069E+05 100.0 2.602E+11 7.704E+12 1.505E+12 4.499E-10 190.5 1027 7.673E+07 7.402E+10 1.549E+07 2.061E+05 100.0 2.585E+11 7.674E+12 1.500E+12 4.481E-10 190.6 1027 7.631E+07 7.373E+10 1.544E+07 2.053E+05 100.0 2.570E+11 7.645E+12 1.495E+12 4.465E-10 190.7 1027 7.591E+07 7.345E+10 1.540E+07 2.045E+05 100.0 2.555E+11 7.618E+12 1.490E+12 4.449E-10 190.8 1027 7.553E+07 7.318E+10 1.535E+07 2.038E+05 100.0 2.540E+11 7.592E+12 1.485E+12 4.433E-10 190.9 1027 7.518E+07 7.292E+10 1.531E+07 2.032E+05 100.0 2.527E+11 7.567E+12 1.480E+12 4.419E-10 191.0 1027 7.484E+07 7.268E+10 1.527E+07 2.025E+05 100.0 2.514E+11 7.544E+12 1.476E+12 4.405E-10 191.1 1027 7.452E+07 7.246E+10 1.523E+07 2.020E+05 100.0 2.502E+11 7.522E+12 1.472E+12 4.393E-10 191.2 1027 7.422E+07 7.224E+10 1.520E+07 2.014E+05 100.0 2.491E+11 7.501E+12 1.469E+12 4.381E-10 191.3 1027 7.395E+07 7.205E+10 1.516E+07 2.009E+05 100.0 2.481E+11 7.481E+12 1.466E+12 4.369E-10 191.4 1027 7.369E+07 7.186E+10 1.513E+07 2.004E+05 100.0 2.472E+11 7.463E+12 1.463E+12 4.359E-10 191.5 1027 7.346E+07 7.169E+10 1.510E+07 2.000E+05 100.0 2.463E+11 7.446E+12 1.460E+12 4.350E-10 191.6 1027 7.324E+07 7.154E+10 1.508E+07 1.996E+05 100.0 2.455E+11 7.431E+12 1.458E+12 4.341E-10 191.6 1027 7.305E+07 7.139E+10 1.506E+07 1.993E+05 100.0 2.448E+11 7.417E+12 1.455E+12 4.333E-10 191.7 1027 7.287E+07 7.127E+10 1.504E+07 1.989E+05 100.0 2.442E+11 7.405E+12 1.454E+12 4.326E-10 191.8 1027 7.272E+07 7.115E+10 1.502E+07 1.987E+05 100.0 2.436E+11 7.393E+12 1.452E+12 4.320E-10 191.9 1027 7.259E+07 7.105E+10 1.500E+07 1.984E+05 100.0 2.432E+11 7.384E+12 1.451E+12 4.314E-10 191.9 1027 7.248E+07 7.097E+10 1.499E+07 1.982E+05 100.0 2.428E+11 7.375E+12 1.450E+12 4.310E-10 192.0 1027 7.239E+07 7.090E+10 1.498E+07 1.981E+05 100.0 2.425E+11 7.368E+12 1.449E+12 4.306E-10 192.0 1027 7.232E+07 7.084E+10 1.497E+07 1.980E+05 100.0 2.423E+11 7.363E+12 1.449E+12 4.303E-10 192.1 1027 7.227E+07 7.080E+10 1.497E+07 1.979E+05 100.0 2.421E+11 7.358E+12 1.449E+12 4.301E-10 192.1 1027 7.224E+07 7.078E+10 1.496E+07 1.979E+05 100.0 2.420E+11 7.355E+12 1.449E+12 4.300E-10 192.2 1027 7.223E+07 7.076E+10 1.496E+07 1.979E+05 100.0 2.421E+11 7.354E+12 1.449E+12 4.299E-10 192.2 1027 7.224E+07 7.076E+10 1.497E+07 1.979E+05 100.0 2.421E+11 7.354E+12 1.450E+12 4.300E-10 192.2 1027 7.227E+07 7.078E+10 1.497E+07 1.980E+05 100.0 2.423E+11 7.355E+12 1.451E+12 4.301E-10 192.3 1027 7.233E+07 7.081E+10 1.498E+07 1.981E+05 100.0 2.426E+11 7.358E+12 1.453E+12 4.303E-10 192.3 1027 7.240E+07 7.086E+10 1.499E+07 1.982E+05 100.0 2.429E+11 7.362E+12 1.454E+12 4.306E-10 192.3 1027 7.250E+07 7.091E+10 1.500E+07 1.984E+05 100.0 2.433E+11 7.367E+12 1.456E+12 4.310E-10 192.3 1027 7.262E+07 7.099E+10 1.502E+07 1.987E+05 100.0 2.438E+11 7.374E+12 1.458E+12 4.314E-10 192.4 1027 7.276E+07 7.107E+10 1.503E+07 1.989E+05 100.0 2.444E+11 7.382E+12 1.461E+12 4.319E-10 192.4 1027 7.291E+07 7.117E+10 1.505E+07 1.992E+05 100.0 2.451E+11 7.392E+12 1.463E+12 4.325E-10 192.4 1027 7.309E+07 7.129E+10 1.508E+07 1.996E+05 100.0 2.458E+11 7.403E+12 1.466E+12 4.332E-10 192.4 1027 7.330E+07 7.142E+10 1.510E+07 2.000E+05 100.0 2.466E+11 7.415E+12 1.470E+12 4.340E-10 192.4 1027 7.352E+07 7.156E+10 1.513E+07 2.004E+05 100.0 2.475E+11 7.428E+12 1.473E+12 4.349E-10 192.4 1027 7.376E+07 7.172E+10 1.516E+07 2.008E+05 100.0 2.485E+11 7.443E+12 1.477E+12 4.358E-10 192.4 1027 7.402E+07 7.189E+10 1.519E+07 2.013E+05 100.0 2.496E+11 7.459E+12 1.481E+12 4.368E-10 192.3 1027 7.431E+07 7.207E+10 1.523E+07 2.018E+05 100.0 2.508E+11 7.477E+12 1.485E+12 4.379E-10 192.3 1027 7.461E+07 7.226E+10 1.526E+07 2.024E+05 100.0 2.520E+11 7.496E+12 1.490E+12 4.390E-10 192.3 1027 7.494E+07 7.247E+10 1.530E+07 2.029E+05 100.0 2.533E+11 7.516E+12 1.495E+12 4.403E-10 192.3 1027 7.529E+07 7.270E+10 1.534E+07 2.036E+05 100.0 2.548E+11 7.537E+12 1.500E+12 4.416E-10 192.3 1027 7.566E+07 7.293E+10 1.539E+07 2.042E+05 100.0 2.563E+11 7.560E+12 1.505E+12 4.430E-10 192.2 1027 7.605E+07 7.318E+10 1.544E+07 2.049E+05 100.0 2.578E+11 7.583E+12 1.511E+12 4.444E-10 192.2 1027 7.646E+07 7.344E+10 1.548E+07 2.056E+05 100.0 2.595E+11 7.608E+12 1.517E+12 4.460E-10 192.1 1027 7.689E+07 7.371E+10 1.553E+07 2.063E+05 100.0 2.613E+11 7.634E+12 1.523E+12 4.476E-10 192.1 1027 7.734E+07 7.400E+10 1.559E+07 2.071E+05 100.0 2.631E+11 7.662E+12 1.529E+12 4.493E-10 192.0 1027 7.781E+07 7.430E+10 1.564E+07 2.079E+05 100.0 2.650E+11 7.690E+12 1.535E+12 4.510E-10 192.0 1027 7.831E+07 7.461E+10 1.570E+07 2.087E+05 100.0 2.670E+11 7.720E+12 1.542E+12 4.528E-10 191.9 1027 7.882E+07 7.493E+10 1.576E+07 2.096E+05 100.0 2.691E+11 7.751E+12 1.549E+12 4.547E-10 191.9 1027 7.936E+07 7.526E+10 1.582E+07 2.105E+05 100.0 2.713E+11 7.783E+12 1.556E+12 4.566E-10 191.8 1027 7.991E+07 7.561E+10 1.589E+07 2.114E+05 100.0 2.736E+11 7.816E+12 1.564E+12 4.586E-10 191.7 1027 8.049E+07 7.596E+10 1.595E+07 2.123E+05 100.0 2.760E+11 7.849E+12 1.571E+12 4.607E-10 191.7 1027 8.108E+07 7.633E+10 1.602E+07 2.132E+05 100.0 2.784E+11 7.884E+12 1.579E+12 4.628E-10 191.6 1027 8.170E+07 7.671E+10 1.609E+07 2.142E+05 100.0 2.810E+11 7.920E+12 1.587E+12 4.650E-10 191.5 1027 8.234E+07 7.709E+10 1.616E+07 2.152E+05 100.0 2.836E+11 7.957E+12 1.595E+12 4.673E-10 191.4 1027 8.300E+07 7.749E+10 1.624E+07 2.162E+05 100.0 2.863E+11 7.995E+12 1.604E+12 4.696E-10 191.4 1027 8.367E+07 7.790E+10 1.631E+07 2.173E+05 100.0 2.891E+11 8.034E+12 1.612E+12 4.720E-10 191.3 1027 8.437E+07 7.831E+10 1.639E+07 2.183E+05 100.0 2.920E+11 8.074E+12 1.621E+12 4.744E-10 191.2 1027 8.508E+07 7.874E+10 1.647E+07 2.194E+05 100.0 2.950E+11 8.114E+12 1.630E+12 4.768E-10 191.1 1027 8.582E+07 7.917E+10 1.655E+07 2.205E+05 100.0 2.980E+11 8.156E+12 1.639E+12 4.794E-10 191.0 1027 8.657E+07 7.962E+10 1.663E+07 2.216E+05 100.0 3.012E+11 8.198E+12 1.648E+12 4.819E-10 190.9 1027 8.735E+07 8.007E+10 1.671E+07 2.227E+05 100.0 3.044E+11 8.241E+12 1.658E+12 4.845E-10 190.8 1027 8.814E+07 8.053E+10 1.680E+07 2.238E+05 100.0 3.078E+11 8.285E+12 1.667E+12 4.872E-10 190.7 1027 8.895E+07 8.099E+10 1.689E+07 2.249E+05 100.0 3.112E+11 8.329E+12 1.677E+12 4.899E-10 190.6 1027 8.977E+07 8.147E+10 1.697E+07 2.261E+05 100.0 3.147E+11 8.374E+12 1.687E+12 4.926E-10 190.5 1027 9.062E+07 8.195E+10 1.706E+07 2.273E+05 100.0 3.183E+11 8.419E+12 1.697E+12 4.954E-10 190.3 1027 9.148E+07 8.243E+10 1.715E+07 2.284E+05 100.0 3.219E+11 8.465E+12 1.706E+12 4.982E-10 190.2 1027 9.236E+07 8.292E+10 1.725E+07 2.296E+05 100.0 3.257E+11 8.512E+12 1.717E+12 5.010E-10 190.1 1027 9.326E+07 8.342E+10 1.734E+07 2.308E+05 100.0 3.295E+11 8.559E+12 1.727E+12 5.039E-10 190.0 1027 9.417E+07 8.393E+10 1.743E+07 2.319E+05 100.0 3.334E+11 8.606E+12 1.737E+12 5.068E-10 189.9 1027 9.510E+07 8.443E+10 1.753E+07 2.331E+05 100.0 3.374E+11 8.654E+12 1.747E+12 5.097E-10 189.7 1027 9.604E+07 8.495E+10 1.762E+07 2.343E+05 100.0 3.415E+11 8.702E+12 1.758E+12 5.126E-10 189.6 1027 9.700E+07 8.546E+10 1.772E+07 2.355E+05 100.0 3.457E+11 8.751E+12 1.768E+12 5.156E-10 189.5 1027 9.797E+07 8.598E+10 1.782E+07 2.366E+05 100.0 3.499E+11 8.800E+12 1.779E+12 5.185E-10 189.4 1027 9.896E+07 8.650E+10 1.792E+07 2.378E+05 100.0 3.542E+11 8.849E+12 1.789E+12 5.215E-10 189.2 1027 9.996E+07 8.703E+10 1.802E+07 2.390E+05 100.0 3.586E+11 8.898E+12 1.800E+12 5.245E-10 189.1 1027 1.010E+08 8.755E+10 1.812E+07 2.401E+05 100.0 3.631E+11 8.947E+12 1.810E+12 5.275E-10 189.0 1027 1.020E+08 8.808E+10 1.822E+07 2.413E+05 100.0 3.676E+11 8.996E+12 1.821E+12 5.305E-10 188.8 1027 1.030E+08 8.861E+10 1.832E+07 2.424E+05 100.0 3.722E+11 9.045E+12 1.831E+12 5.335E-10 188.7 1027 1.041E+08 8.913E+10 1.842E+07 2.435E+05 100.0 3.769E+11 9.094E+12 1.842E+12 5.365E-10 188.6 1027 1.051E+08 8.966E+10 1.852E+07 2.447E+05 100.0 3.816E+11 9.143E+12 1.852E+12 5.395E-10 188.4 1027 1.062E+08 9.019E+10 1.862E+07 2.458E+05 100.0 3.864E+11 9.192E+12 1.863E+12 5.425E-10 188.3 1027 1.073E+08 9.071E+10 1.872E+07 2.468E+05 100.0 3.912E+11 9.241E+12 1.873E+12 5.455E-10 188.1 1027 1.084E+08 9.124E+10 1.883E+07 2.479E+05 100.0 3.961E+11 9.289E+12 1.884E+12 5.484E-10 188.0 1027 1.094E+08 9.176E+10 1.893E+07 2.489E+05 100.0 4.011E+11 9.338E+12 1.894E+12 5.514E-10 187.8 1027 1.105E+08 9.228E+10 1.903E+07 2.500E+05 100.0 4.061E+11 9.385E+12 1.904E+12 5.543E-10 187.7 1027 1.116E+08 9.280E+10 1.913E+07 2.510E+05 100.0 4.112E+11 9.433E+12 1.914E+12 5.572E-10 187.5 1027 1.128E+08 9.331E+10 1.923E+07 2.519E+05 100.0 4.163E+11 9.479E+12 1.924E+12 5.601E-10 187.4 1027 1.139E+08 9.381E+10 1.933E+07 2.529E+05 100.0 4.214E+11 9.526E+12 1.934E+12 5.630E-10 187.3 1027 1.150E+08 9.432E+10 1.943E+07 2.538E+05 100.0 4.266E+11 9.571E+12 1.944E+12 5.658E-10 187.1 1027 1.161E+08 9.481E+10 1.953E+07 2.547E+05 100.0 4.318E+11 9.616E+12 1.954E+12 5.686E-10 187.0 1027 1.172E+08 9.530E+10 1.963E+07 2.556E+05 100.0 4.371E+11 9.661E+12 1.963E+12 5.713E-10 186.8 1027 1.183E+08 9.579E+10 1.973E+07 2.564E+05 100.0 4.424E+11 9.705E+12 1.973E+12 5.740E-10 186.7 1027 1.194E+08 9.626E+10 1.983E+07 2.572E+05 100.0 4.477E+11 9.747E+12 1.982E+12 5.767E-10 186.5 1027 1.205E+08 9.673E+10 1.993E+07 2.580E+05 100.0 4.530E+11 9.789E+12 1.991E+12 5.793E-10 186.4 1027 1.217E+08 9.719E+10 2.002E+07 2.587E+05 100.0 4.583E+11 9.831E+12 2.000E+12 5.818E-10 186.2 1027 1.228E+08 9.764E+10 2.012E+07 2.594E+05 100.0 4.637E+11 9.871E+12 2.009E+12 5.843E-10 186.1 1027 1.239E+08 9.809E+10 2.021E+07 2.601E+05 100.0 4.690E+11 9.910E+12 2.017E+12 5.868E-10 185.9 1027 1.250E+08 9.852E+10 2.030E+07 2.607E+05 100.0 4.744E+11 9.948E+12 2.025E+12 5.892E-10 185.8 1027 1.260E+08 9.894E+10 2.039E+07 2.613E+05 100.0 4.797E+11 9.986E+12 2.033E+12 5.915E-10 185.6 1027 1.271E+08 9.936E+10 2.048E+07 2.618E+05 100.0 4.851E+11 1.002E+13 2.041E+12 5.938E-10 185.5 1027 1.282E+08 9.976E+10 2.057E+07 2.623E+05 100.0 4.904E+11 1.006E+13 2.049E+12 5.960E-10 185.3 1027 1.293E+08 1.001E+11 2.066E+07 2.628E+05 100.0 4.958E+11 1.009E+13 2.056E+12 5.981E-10 185.2 1027 1.303E+08 1.005E+11 2.074E+07 2.632E+05 100.0 5.011E+11 1.012E+13 2.064E+12 6.001E-10 185.0 1027 1.313E+08 1.009E+11 2.083E+07 2.636E+05 100.0 5.063E+11 1.015E+13 2.071E+12 6.021E-10 184.9 1027 1.324E+08 1.012E+11 2.091E+07 2.639E+05 100.0 5.116E+11 1.018E+13 2.077E+12 6.040E-10 184.7 1027 1.334E+08 1.016E+11 2.099E+07 2.642E+05 100.0 5.168E+11 1.021E+13 2.084E+12 6.059E-10 184.6 1027 1.344E+08 1.019E+11 2.107E+07 2.645E+05 100.0 5.220E+11 1.024E+13 2.090E+12 6.076E-10 184.4 1027 1.353E+08 1.022E+11 2.114E+07 2.647E+05 100.0 5.271E+11 1.027E+13 2.096E+12 6.093E-10 184.3 1027 1.363E+08 1.025E+11 2.122E+07 2.649E+05 100.0 5.322E+11 1.029E+13 2.101E+12 6.109E-10 184.1 1027 1.373E+08 1.028E+11 2.129E+07 2.650E+05 100.0 5.372E+11 1.031E+13 2.107E+12 6.124E-10 184.0 1027 1.382E+08 1.031E+11 2.136E+07 2.651E+05 100.0 5.422E+11 1.034E+13 2.112E+12 6.138E-10 183.9 1027 1.391E+08 1.033E+11 2.143E+07 2.651E+05 100.0 5.471E+11 1.036E+13 2.117E+12 6.152E-10 183.7 1027 1.400E+08 1.036E+11 2.149E+07 2.651E+05 100.0 5.519E+11 1.037E+13 2.121E+12 6.164E-10 183.6 1027 1.408E+08 1.038E+11 2.156E+07 2.651E+05 100.0 5.567E+11 1.039E+13 2.125E+12 6.176E-10 183.4 1027 1.417E+08 1.040E+11 2.162E+07 2.650E+05 100.0 5.614E+11 1.041E+13 2.129E+12 6.187E-10 183.3 1027 1.425E+08 1.042E+11 2.168E+07 2.649E+05 100.0 5.660E+11 1.042E+13 2.133E+12 6.197E-10 183.2 1027 1.433E+08 1.044E+11 2.174E+07 2.647E+05 100.0 5.705E+11 1.043E+13 2.136E+12 6.206E-10 183.0 1027 1.441E+08 1.046E+11 2.179E+07 2.645E+05 100.0 5.750E+11 1.045E+13 2.139E+12 6.214E-10 182.9 1027 1.448E+08 1.047E+11 2.184E+07 2.642E+05 100.0 5.793E+11 1.046E+13 2.142E+12 6.221E-10 182.8 1027 1.455E+08 1.048E+11 2.189E+07 2.639E+05 100.0 5.835E+11 1.046E+13 2.144E+12 6.227E-10 182.6 1027 1.462E+08 1.050E+11 2.194E+07 2.636E+05 100.0 5.877E+11 1.047E+13 2.146E+12 6.233E-10 182.5 1027 1.469E+08 1.051E+11 2.199E+07 2.632E+05 100.0 5.917E+11 1.048E+13 2.148E+12 6.237E-10 182.4 1027 1.475E+08 1.051E+11 2.203E+07 2.628E+05 100.0 5.957E+11 1.048E+13 2.150E+12 6.241E-10 182.2 1027 1.481E+08 1.052E+11 2.207E+07 2.623E+05 100.0 5.995E+11 1.048E+13 2.151E+12 6.243E-10 182.1 1027 1.487E+08 1.053E+11 2.211E+07 2.618E+05 100.0 6.032E+11 1.048E+13 2.152E+12 6.245E-10 182.0 1027 1.493E+08 1.053E+11 2.214E+07 2.613E+05 100.0 6.068E+11 1.048E+13 2.153E+12 6.246E-10 181.9 1027 1.498E+08 1.053E+11 2.217E+07 2.607E+05 100.0 6.103E+11 1.048E+13 2.153E+12 6.246E-10 181.7 1027 1.503E+08 1.053E+11 2.221E+07 2.601E+05 100.0 6.137E+11 1.047E+13 2.153E+12 6.245E-10 181.6 1027 1.508E+08 1.053E+11 2.223E+07 2.595E+05 100.0 6.169E+11 1.047E+13 2.153E+12 6.244E-10 181.5 1027 1.512E+08 1.053E+11 2.226E+07 2.588E+05 100.0 6.200E+11 1.046E+13 2.153E+12 6.241E-10 181.4 1027 1.516E+08 1.053E+11 2.228E+07 2.582E+05 100.0 6.230E+11 1.046E+13 2.152E+12 6.238E-10 181.3 1027 1.520E+08 1.052E+11 2.230E+07 2.574E+05 100.0 6.259E+11 1.045E+13 2.151E+12 6.234E-10 181.1 1027 1.523E+08 1.052E+11 2.232E+07 2.567E+05 100.0 6.286E+11 1.044E+13 2.150E+12 6.229E-10 181.0 1027 1.527E+08 1.051E+11 2.234E+07 2.559E+05 100.0 6.312E+11 1.042E+13 2.149E+12 6.224E-10 180.9 1027 1.530E+08 1.050E+11 2.235E+07 2.551E+05 100.0 6.337E+11 1.041E+13 2.147E+12 6.218E-10 180.8 1027 1.532E+08 1.049E+11 2.236E+07 2.543E+05 100.0 6.361E+11 1.040E+13 2.145E+12 6.211E-10 180.7 1027 1.535E+08 1.048E+11 2.237E+07 2.535E+05 100.0 6.383E+11 1.038E+13 2.143E+12 6.203E-10 180.6 1027 1.537E+08 1.047E+11 2.238E+07 2.526E+05 100.0 6.404E+11 1.037E+13 2.141E+12 6.195E-10 180.5 1027 1.538E+08 1.045E+11 2.239E+07 2.517E+05 100.0 6.423E+11 1.035E+13 2.139E+12 6.186E-10 180.4 1027 1.540E+08 1.044E+11 2.239E+07 2.508E+05 100.0 6.441E+11 1.033E+13 2.136E+12 6.176E-10 180.3 1027 1.541E+08 1.042E+11 2.239E+07 2.499E+05 100.0 6.458E+11 1.031E+13 2.133E+12 6.166E-10 180.2 1027 1.542E+08 1.041E+11 2.239E+07 2.490E+05 100.0 6.474E+11 1.029E+13 2.130E+12 6.155E-10 180.1 1027 1.543E+08 1.039E+11 2.239E+07 2.480E+05 100.0 6.488E+11 1.027E+13 2.127E+12 6.144E-10 180.0 1027 1.543E+08 1.037E+11 2.238E+07 2.471E+05 100.0 6.501E+11 1.025E+13 2.124E+12 6.132E-10 179.9 1027 1.544E+08 1.035E+11 2.238E+07 2.461E+05 100.0 6.513E+11 1.022E+13 2.120E+12 6.120E-10 179.8 1027 1.544E+08 1.033E+11 2.237E+07 2.452E+05 100.0 6.524E+11 1.020E+13 2.117E+12 6.107E-10 179.7 1027 1.543E+08 1.031E+11 2.236E+07 2.442E+05 100.0 6.533E+11 1.018E+13 2.113E+12 6.094E-10 179.6 1027 1.543E+08 1.029E+11 2.235E+07 2.432E+05 100.0 6.541E+11 1.015E+13 2.109E+12 6.080E-10 179.5 1027 1.542E+08 1.027E+11 2.233E+07 2.422E+05 100.0 6.548E+11 1.013E+13 2.105E+12 6.067E-10 179.4 1027 1.541E+08 1.024E+11 2.232E+07 2.412E+05 100.0 6.554E+11 1.010E+13 2.101E+12 6.052E-10 179.3 1027 1.540E+08 1.022E+11 2.230E+07 2.402E+05 100.0 6.558E+11 1.007E+13 2.097E+12 6.038E-10 179.2 1027 1.539E+08 1.019E+11 2.229E+07 2.392E+05 100.0 6.562E+11 1.005E+13 2.093E+12 6.023E-10 179.1 1027 1.537E+08 1.017E+11 2.227E+07 2.383E+05 100.0 6.564E+11 1.002E+13 2.088E+12 6.008E-10 179.1 1027 1.535E+08 1.015E+11 2.225E+07 2.373E+05 100.0 6.566E+11 9.991E+12 2.084E+12 5.993E-10 179.0 1027 1.533E+08 1.012E+11 2.223E+07 2.363E+05 100.0 6.566E+11 9.963E+12 2.080E+12 5.977E-10 178.9 1027 1.531E+08 1.009E+11 2.221E+07 2.353E+05 100.0 6.566E+11 9.935E+12 2.075E+12 5.962E-10 178.8 1027 1.529E+08 1.007E+11 2.219E+07 2.344E+05 100.0 6.564E+11 9.907E+12 2.071E+12 5.946E-10 178.7 1027 1.527E+08 1.004E+11 2.216E+07 2.334E+05 100.0 6.561E+11 9.879E+12 2.066E+12 5.930E-10 178.7 1027 1.524E+08 1.002E+11 2.214E+07 2.325E+05 100.0 6.558E+11 9.850E+12 2.062E+12 5.914E-10 178.6 1027 1.521E+08 9.989E+10 2.211E+07 2.316E+05 100.0 6.554E+11 9.821E+12 2.058E+12 5.898E-10 178.5 1027 1.519E+08 9.962E+10 2.209E+07 2.306E+05 100.0 6.549E+11 9.793E+12 2.053E+12 5.882E-10 178.4 1027 1.516E+08 9.935E+10 2.206E+07 2.297E+05 100.0 6.543E+11 9.765E+12 2.049E+12 5.866E-10 178.4 1027 1.513E+08 9.909E+10 2.204E+07 2.289E+05 100.0 6.536E+11 9.736E+12 2.044E+12 5.851E-10 178.3 1027 1.510E+08 9.883E+10 2.201E+07 2.280E+05 100.0 6.529E+11 9.708E+12 2.040E+12 5.835E-10 178.2 1027 1.506E+08 9.856E+10 2.198E+07 2.271E+05 100.0 6.521E+11 9.680E+12 2.036E+12 5.819E-10 178.2 1027 1.503E+08 9.830E+10 2.195E+07 2.263E+05 100.0 6.513E+11 9.653E+12 2.031E+12 5.804E-10 178.1 1027 1.500E+08 9.804E+10 2.193E+07 2.255E+05 100.0 6.504E+11 9.625E+12 2.027E+12 5.788E-10 178.0 1027 1.496E+08 9.779E+10 2.190E+07 2.247E+05 100.0 6.494E+11 9.598E+12 2.023E+12 5.773E-10 178.0 1027 1.493E+08 9.753E+10 2.187E+07 2.239E+05 100.0 6.484E+11 9.572E+12 2.019E+12 5.758E-10 177.9 1027 1.489E+08 9.728E+10 2.184E+07 2.232E+05 100.0 6.473E+11 9.545E+12 2.015E+12 5.743E-10 177.8 1027 1.486E+08 9.704E+10 2.182E+07 2.224E+05 100.0 6.462E+11 9.520E+12 2.011E+12 5.729E-10 177.8 1027 1.482E+08 9.680E+10 2.179E+07 2.217E+05 100.0 6.450E+11 9.495E+12 2.007E+12 5.715E-10 177.7 1027 1.479E+08 9.656E+10 2.176E+07 2.211E+05 100.0 6.438E+11 9.470E+12 2.004E+12 5.701E-10 177.7 1027 1.475E+08 9.633E+10 2.173E+07 2.204E+05 100.0 6.426E+11 9.446E+12 2.000E+12 5.687E-10 177.6 1027 1.471E+08 9.611E+10 2.171E+07 2.198E+05 100.0 6.413E+11 9.422E+12 1.997E+12 5.674E-10 177.5 1027 1.468E+08 9.589E+10 2.168E+07 2.192E+05 100.0 6.401E+11 9.400E+12 1.993E+12 5.661E-10 177.5 1027 1.464E+08 9.568E+10 2.166E+07 2.186E+05 100.0 6.388E+11 9.377E+12 1.990E+12 5.649E-10 177.4 1027 1.461E+08 9.547E+10 2.163E+07 2.181E+05 100.0 6.374E+11 9.356E+12 1.987E+12 5.637E-10 177.4 1027 1.457E+08 9.527E+10 2.161E+07 2.176E+05 100.0 6.361E+11 9.335E+12 1.984E+12 5.625E-10 177.3 1027 1.453E+08 9.508E+10 2.158E+07 2.171E+05 100.0 6.347E+11 9.316E+12 1.982E+12 5.614E-10 177.3 1027 1.450E+08 9.490E+10 2.156E+07 2.167E+05 100.0 6.334E+11 9.297E+12 1.979E+12 5.603E-10 177.2 1027 1.447E+08 9.472E+10 2.154E+07 2.163E+05 100.0 6.320E+11 9.278E+12 1.977E+12 5.593E-10 177.2 1027 1.443E+08 9.455E+10 2.152E+07 2.159E+05 100.0 6.307E+11 9.261E+12 1.974E+12 5.584E-10 177.1 1027 1.440E+08 9.439E+10 2.149E+07 2.155E+05 100.0 6.293E+11 9.245E+12 1.972E+12 5.574E-10 177.1 1027 1.437E+08 9.424E+10 2.147E+07 2.152E+05 100.0 6.279E+11 9.229E+12 1.970E+12 5.566E-10 177.1 1027 1.433E+08 9.410E+10 2.146E+07 2.149E+05 100.0 6.266E+11 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176.6 1027 1.404E+08 9.319E+10 2.132E+07 2.142E+05 100.0 6.126E+11 9.121E+12 1.963E+12 5.507E-10 176.6 1027 1.402E+08 9.317E+10 2.132E+07 2.143E+05 100.0 6.115E+11 9.119E+12 1.963E+12 5.506E-10 176.6 1027 1.400E+08 9.317E+10 2.131E+07 2.145E+05 100.0 6.104E+11 9.118E+12 1.964E+12 5.506E-10 176.5 1027 1.398E+08 9.317E+10 2.131E+07 2.147E+05fluids-1.0.22/tests/nrlmsise00/known_data_hours.txt0000644000175000017500000000442714302004506021655 0ustar nileshnilesh100.0 6.107E+11 8.796E+12 1.895E+12 5.317E-10 178.3 1027 1.378E+08 8.957E+10 2.070E+07 1.963E+05 100.0 6.087E+11 8.389E+12 1.810E+12 5.079E-10 180.4 1027 1.341E+08 8.519E+10 1.982E+07 1.893E+05 100.0 6.047E+11 7.973E+12 1.725E+12 4.837E-10 181.9 1027 1.295E+08 8.082E+10 1.889E+07 1.941E+05 100.0 5.990E+11 7.639E+12 1.659E+12 4.642E-10 182.1 1027 1.251E+08 7.738E+10 1.810E+07 2.104E+05 100.0 5.924E+11 7.466E+12 1.626E+12 4.542E-10 181.4 1027 1.219E+08 7.565E+10 1.759E+07 2.374E+05 100.0 5.869E+11 7.502E+12 1.635E+12 4.562E-10 180.7 1027 1.207E+08 7.607E+10 1.739E+07 2.726E+05 100.0 5.840E+11 7.745E+12 1.684E+12 4.702E-10 180.6 1027 1.217E+08 7.861E+10 1.746E+07 3.114E+05 100.0 5.835E+11 8.138E+12 1.759E+12 4.927E-10 181.1 1027 1.241E+08 8.265E+10 1.770E+07 3.481E+05 100.0 5.834E+11 8.559E+12 1.834E+12 5.165E-10 181.4 1027 1.266E+08 8.699E+10 1.793E+07 3.770E+05 100.0 5.805E+11 8.866E+12 1.884E+12 5.336E-10 180.9 1027 1.275E+08 9.022E+10 1.803E+07 3.952E+05 100.0 5.724E+11 8.964E+12 1.892E+12 5.384E-10 179.2 1027 1.260E+08 9.138E+10 1.792E+07 4.034E+05 100.0 5.592E+11 8.853E+12 1.863E+12 5.313E-10 177.0 1027 1.222E+08 9.048E+10 1.762E+07 4.048E+05 100.0 5.433E+11 8.624E+12 1.818E+12 5.177E-10 175.4 1027 1.173E+08 8.843E+10 1.726E+07 4.031E+05 100.0 5.286E+11 8.402E+12 1.781E+12 5.049E-10 175.6 1027 1.131E+08 8.642E+10 1.694E+07 4.011E+05 100.0 5.186E+11 8.276E+12 1.767E+12 4.980E-10 178.2 1027 1.106E+08 8.536E+10 1.677E+07 3.996E+05 100.0 5.153E+11 8.281E+12 1.780E+12 4.988E-10 182.7 1027 1.104E+08 8.556E+10 1.681E+07 3.977E+05 100.0 5.195E+11 8.404E+12 1.815E+12 5.066E-10 187.7 1027 1.126E+08 8.688E+10 1.709E+07 3.936E+05 100.0 5.309E+11 8.611E+12 1.863E+12 5.192E-10 190.9 1027 1.166E+08 8.900E+10 1.763E+07 3.848E+05 100.0 5.480E+11 8.862E+12 1.918E+12 5.344E-10 190.9 1027 1.221E+08 9.152E+10 1.843E+07 3.694E+05 100.0 5.678E+11 9.107E+12 1.969E+12 5.492E-10 187.7 1027 1.280E+08 9.395E+10 1.941E+07 3.456E+05 100.0 5.860E+11 9.290E+12 2.006E+12 5.603E-10 183.0 1027 1.335E+08 9.570E+10 2.038E+07 3.140E+05 100.0 5.993E+11 9.368E+12 2.020E+12 5.651E-10 178.7 1027 1.376E+08 9.629E+10 2.114E+07 2.779E+05 100.0 6.071E+11 9.313E+12 2.007E+12 5.620E-10 176.5 1027 1.397E+08 9.547E+10 2.147E+07 2.430E+05 100.0 6.104E+11 9.118E+12 1.964E+12 5.506E-10 176.5 1027 1.398E+08 9.317E+10 2.131E+07 2.147E+05fluids-1.0.22/tests/nrlmsise00/known_data_latitudes.txt0000644000175000017500000004222414302004506022510 0ustar nileshnilesh100.0 1.651E+11 6.146E+12 1.188E+12 3.571E-10 215.5 1027 5.260E+07 5.944E+10 1.020E+07 2.073E+05 100.0 1.643E+11 6.151E+12 1.192E+12 3.575E-10 215.6 1027 5.258E+07 5.951E+10 1.023E+07 2.065E+05 100.0 1.635E+11 6.158E+12 1.195E+12 3.580E-10 215.7 1027 5.256E+07 5.959E+10 1.026E+07 2.056E+05 100.0 1.627E+11 6.165E+12 1.199E+12 3.585E-10 215.8 1027 5.256E+07 5.967E+10 1.030E+07 2.046E+05 100.0 1.620E+11 6.172E+12 1.202E+12 3.590E-10 215.9 1027 5.258E+07 5.975E+10 1.034E+07 2.036E+05 100.0 1.613E+11 6.180E+12 1.206E+12 3.595E-10 216.1 1027 5.261E+07 5.984E+10 1.038E+07 2.026E+05 100.0 1.607E+11 6.188E+12 1.210E+12 3.601E-10 216.3 1027 5.267E+07 5.993E+10 1.042E+07 2.015E+05 100.0 1.601E+11 6.197E+12 1.214E+12 3.608E-10 216.5 1027 5.274E+07 6.002E+10 1.046E+07 2.003E+05 100.0 1.595E+11 6.208E+12 1.218E+12 3.615E-10 216.7 1027 5.283E+07 6.013E+10 1.051E+07 1.992E+05 100.0 1.591E+11 6.219E+12 1.223E+12 3.622E-10 216.9 1027 5.294E+07 6.024E+10 1.056E+07 1.980E+05 100.0 1.586E+11 6.232E+12 1.227E+12 3.631E-10 217.1 1027 5.308E+07 6.036E+10 1.061E+07 1.967E+05 100.0 1.583E+11 6.246E+12 1.232E+12 3.640E-10 217.3 1027 5.324E+07 6.049E+10 1.067E+07 1.954E+05 100.0 1.580E+11 6.262E+12 1.237E+12 3.650E-10 217.5 1027 5.343E+07 6.065E+10 1.073E+07 1.942E+05 100.0 1.578E+11 6.280E+12 1.243E+12 3.661E-10 217.7 1027 5.365E+07 6.081E+10 1.080E+07 1.929E+05 100.0 1.577E+11 6.300E+12 1.249E+12 3.674E-10 217.9 1027 5.389E+07 6.100E+10 1.086E+07 1.916E+05 100.0 1.576E+11 6.323E+12 1.255E+12 3.688E-10 218.0 1027 5.418E+07 6.122E+10 1.094E+07 1.904E+05 100.0 1.577E+11 6.348E+12 1.262E+12 3.704E-10 218.1 1027 5.449E+07 6.146E+10 1.101E+07 1.891E+05 100.0 1.579E+11 6.377E+12 1.270E+12 3.721E-10 218.1 1027 5.485E+07 6.173E+10 1.110E+07 1.880E+05 100.0 1.582E+11 6.409E+12 1.278E+12 3.741E-10 218.1 1027 5.524E+07 6.203E+10 1.119E+07 1.868E+05 100.0 1.586E+11 6.444E+12 1.287E+12 3.762E-10 218.0 1027 5.567E+07 6.237E+10 1.128E+07 1.858E+05 100.0 1.592E+11 6.484E+12 1.296E+12 3.786E-10 217.9 1027 5.615E+07 6.274E+10 1.139E+07 1.848E+05 100.0 1.599E+11 6.528E+12 1.306E+12 3.813E-10 217.6 1027 5.668E+07 6.316E+10 1.150E+07 1.839E+05 100.0 1.608E+11 6.576E+12 1.317E+12 3.841E-10 217.3 1027 5.726E+07 6.362E+10 1.161E+07 1.831E+05 100.0 1.619E+11 6.629E+12 1.329E+12 3.873E-10 216.9 1027 5.789E+07 6.413E+10 1.174E+07 1.824E+05 100.0 1.631E+11 6.688E+12 1.342E+12 3.908E-10 216.4 1027 5.857E+07 6.469E+10 1.188E+07 1.818E+05 100.0 1.646E+11 6.751E+12 1.356E+12 3.945E-10 215.9 1027 5.931E+07 6.531E+10 1.202E+07 1.814E+05 100.0 1.662E+11 6.820E+12 1.371E+12 3.986E-10 215.2 1027 6.011E+07 6.597E+10 1.217E+07 1.811E+05 100.0 1.681E+11 6.895E+12 1.387E+12 4.031E-10 214.4 1027 6.096E+07 6.670E+10 1.234E+07 1.809E+05 100.0 1.702E+11 6.975E+12 1.404E+12 4.078E-10 213.5 1027 6.188E+07 6.749E+10 1.252E+07 1.810E+05 100.0 1.725E+11 7.062E+12 1.423E+12 4.129E-10 212.5 1027 6.287E+07 6.834E+10 1.270E+07 1.812E+05 100.0 1.751E+11 7.155E+12 1.442E+12 4.184E-10 211.5 1027 6.391E+07 6.925E+10 1.290E+07 1.815E+05 100.0 1.779E+11 7.254E+12 1.463E+12 4.243E-10 210.3 1027 6.503E+07 7.022E+10 1.311E+07 1.821E+05 100.0 1.810E+11 7.359E+12 1.485E+12 4.305E-10 209.0 1027 6.621E+07 7.127E+10 1.334E+07 1.829E+05 100.0 1.844E+11 7.471E+12 1.508E+12 4.370E-10 207.6 1027 6.746E+07 7.237E+10 1.357E+07 1.838E+05 100.0 1.881E+11 7.589E+12 1.532E+12 4.440E-10 206.1 1027 6.877E+07 7.355E+10 1.382E+07 1.850E+05 100.0 1.921E+11 7.713E+12 1.557E+12 4.513E-10 204.6 1027 7.015E+07 7.478E+10 1.408E+07 1.864E+05 100.0 1.964E+11 7.843E+12 1.584E+12 4.590E-10 203.0 1027 7.160E+07 7.609E+10 1.435E+07 1.880E+05 100.0 2.010E+11 7.979E+12 1.612E+12 4.670E-10 201.3 1027 7.312E+07 7.745E+10 1.464E+07 1.898E+05 100.0 2.059E+11 8.121E+12 1.641E+12 4.753E-10 199.5 1027 7.469E+07 7.888E+10 1.494E+07 1.919E+05 100.0 2.112E+11 8.268E+12 1.670E+12 4.840E-10 197.7 1027 7.633E+07 8.036E+10 1.525E+07 1.942E+05 100.0 2.169E+11 8.420E+12 1.701E+12 4.929E-10 195.8 1027 7.803E+07 8.190E+10 1.557E+07 1.967E+05 100.0 2.228E+11 8.577E+12 1.733E+12 5.022E-10 194.0 1027 7.978E+07 8.349E+10 1.590E+07 1.994E+05 100.0 2.292E+11 8.738E+12 1.765E+12 5.116E-10 192.0 1027 8.159E+07 8.513E+10 1.624E+07 2.024E+05 100.0 2.358E+11 8.902E+12 1.798E+12 5.213E-10 190.1 1027 8.344E+07 8.681E+10 1.660E+07 2.056E+05 100.0 2.429E+11 9.070E+12 1.832E+12 5.312E-10 188.1 1027 8.533E+07 8.853E+10 1.696E+07 2.090E+05 100.0 2.503E+11 9.240E+12 1.866E+12 5.412E-10 186.2 1027 8.726E+07 9.027E+10 1.733E+07 2.126E+05 100.0 2.580E+11 9.411E+12 1.900E+12 5.513E-10 184.2 1027 8.922E+07 9.204E+10 1.771E+07 2.164E+05 100.0 2.660E+11 9.583E+12 1.935E+12 5.615E-10 182.3 1027 9.120E+07 9.382E+10 1.809E+07 2.204E+05 100.0 2.744E+11 9.755E+12 1.970E+12 5.717E-10 180.4 1027 9.320E+07 9.561E+10 1.848E+07 2.246E+05 100.0 2.831E+11 9.926E+12 2.004E+12 5.818E-10 178.5 1027 9.520E+07 9.740E+10 1.887E+07 2.290E+05 100.0 2.921E+11 1.010E+13 2.038E+12 5.919E-10 176.6 1027 9.720E+07 9.918E+10 1.926E+07 2.335E+05 100.0 3.014E+11 1.026E+13 2.072E+12 6.018E-10 174.8 1027 9.920E+07 1.009E+11 1.965E+07 2.382E+05 100.0 3.110E+11 1.043E+13 2.105E+12 6.115E-10 173.0 1027 1.012E+08 1.027E+11 2.004E+07 2.430E+05 100.0 3.208E+11 1.058E+13 2.137E+12 6.209E-10 171.3 1027 1.031E+08 1.044E+11 2.043E+07 2.480E+05 100.0 3.308E+11 1.074E+13 2.168E+12 6.301E-10 169.6 1027 1.050E+08 1.060E+11 2.081E+07 2.530E+05 100.0 3.409E+11 1.088E+13 2.198E+12 6.389E-10 168.0 1027 1.069E+08 1.076E+11 2.118E+07 2.580E+05 100.0 3.512E+11 1.102E+13 2.226E+12 6.472E-10 166.4 1027 1.087E+08 1.091E+11 2.155E+07 2.631E+05 100.0 3.616E+11 1.116E+13 2.253E+12 6.551E-10 164.9 1027 1.105E+08 1.105E+11 2.190E+07 2.683E+05 100.0 3.721E+11 1.128E+13 2.278E+12 6.625E-10 163.5 1027 1.121E+08 1.119E+11 2.224E+07 2.733E+05 100.0 3.825E+11 1.139E+13 2.301E+12 6.693E-10 162.2 1027 1.137E+08 1.132E+11 2.256E+07 2.784E+05 100.0 3.930E+11 1.149E+13 2.323E+12 6.755E-10 160.9 1027 1.152E+08 1.143E+11 2.287E+07 2.833E+05 100.0 4.034E+11 1.158E+13 2.342E+12 6.811E-10 159.7 1027 1.166E+08 1.154E+11 2.316E+07 2.882E+05 100.0 4.136E+11 1.166E+13 2.359E+12 6.860E-10 158.5 1027 1.180E+08 1.163E+11 2.342E+07 2.929E+05 100.0 4.237E+11 1.173E+13 2.373E+12 6.901E-10 157.5 1027 1.192E+08 1.171E+11 2.367E+07 2.974E+05 100.0 4.335E+11 1.178E+13 2.386E+12 6.936E-10 156.5 1027 1.202E+08 1.178E+11 2.389E+07 3.017E+05 100.0 4.431E+11 1.182E+13 2.395E+12 6.963E-10 155.6 1027 1.212E+08 1.183E+11 2.409E+07 3.057E+05 100.0 4.523E+11 1.185E+13 2.403E+12 6.982E-10 154.8 1027 1.221E+08 1.187E+11 2.426E+07 3.094E+05 100.0 4.612E+11 1.186E+13 2.408E+12 6.994E-10 154.0 1027 1.228E+08 1.190E+11 2.441E+07 3.129E+05 100.0 4.697E+11 1.186E+13 2.410E+12 6.998E-10 153.4 1027 1.234E+08 1.192E+11 2.453E+07 3.160E+05 100.0 4.778E+11 1.185E+13 2.410E+12 6.995E-10 152.8 1027 1.239E+08 1.192E+11 2.462E+07 3.188E+05 100.0 4.853E+11 1.183E+13 2.407E+12 6.984E-10 152.2 1027 1.243E+08 1.191E+11 2.469E+07 3.211E+05 100.0 4.924E+11 1.179E+13 2.402E+12 6.966E-10 151.8 1027 1.245E+08 1.188E+11 2.473E+07 3.231E+05 100.0 4.990E+11 1.174E+13 2.395E+12 6.941E-10 151.4 1027 1.247E+08 1.184E+11 2.474E+07 3.246E+05 100.0 5.049E+11 1.168E+13 2.386E+12 6.910E-10 151.1 1027 1.247E+08 1.179E+11 2.473E+07 3.258E+05 100.0 5.104E+11 1.161E+13 2.374E+12 6.872E-10 150.9 1027 1.246E+08 1.173E+11 2.470E+07 3.265E+05 100.0 5.152E+11 1.153E+13 2.361E+12 6.829E-10 150.7 1027 1.244E+08 1.166E+11 2.464E+07 3.268E+05 100.0 5.195E+11 1.144E+13 2.345E+12 6.780E-10 150.6 1027 1.241E+08 1.158E+11 2.455E+07 3.266E+05 100.0 5.232E+11 1.135E+13 2.329E+12 6.726E-10 150.6 1027 1.238E+08 1.149E+11 2.445E+07 3.260E+05 100.0 5.264E+11 1.124E+13 2.310E+12 6.668E-10 150.6 1027 1.233E+08 1.139E+11 2.432E+07 3.250E+05 100.0 5.290E+11 1.113E+13 2.290E+12 6.606E-10 150.7 1027 1.228E+08 1.128E+11 2.418E+07 3.237E+05 100.0 5.310E+11 1.101E+13 2.270E+12 6.540E-10 150.9 1027 1.223E+08 1.117E+11 2.402E+07 3.219E+05 100.0 5.326E+11 1.089E+13 2.248E+12 6.471E-10 151.1 1027 1.216E+08 1.105E+11 2.385E+07 3.198E+05 100.0 5.337E+11 1.077E+13 2.225E+12 6.400E-10 151.4 1027 1.209E+08 1.093E+11 2.366E+07 3.173E+05 100.0 5.343E+11 1.064E+13 2.201E+12 6.327E-10 151.7 1027 1.202E+08 1.080E+11 2.346E+07 3.146E+05 100.0 5.345E+11 1.051E+13 2.177E+12 6.252E-10 152.1 1027 1.195E+08 1.067E+11 2.326E+07 3.115E+05 100.0 5.344E+11 1.037E+13 2.153E+12 6.177E-10 152.5 1027 1.187E+08 1.054E+11 2.305E+07 3.083E+05 100.0 5.339E+11 1.024E+13 2.129E+12 6.101E-10 153.0 1027 1.180E+08 1.041E+11 2.283E+07 3.048E+05 100.0 5.332E+11 1.011E+13 2.104E+12 6.025E-10 153.5 1027 1.172E+08 1.027E+11 2.260E+07 3.011E+05 100.0 5.322E+11 9.975E+12 2.080E+12 5.950E-10 154.0 1027 1.164E+08 1.014E+11 2.238E+07 2.973E+05 100.0 5.309E+11 9.845E+12 2.056E+12 5.875E-10 154.6 1027 1.157E+08 1.001E+11 2.216E+07 2.933E+05 100.0 5.296E+11 9.717E+12 2.032E+12 5.802E-10 155.2 1027 1.149E+08 9.875E+10 2.194E+07 2.893E+05 100.0 5.281E+11 9.592E+12 2.009E+12 5.731E-10 155.8 1027 1.142E+08 9.747E+10 2.172E+07 2.852E+05 100.0 5.265E+11 9.471E+12 1.986E+12 5.661E-10 156.5 1027 1.135E+08 9.623E+10 2.150E+07 2.811E+05 100.0 5.249E+11 9.354E+12 1.964E+12 5.594E-10 157.1 1027 1.129E+08 9.502E+10 2.130E+07 2.769E+05 100.0 5.234E+11 9.241E+12 1.943E+12 5.529E-10 157.8 1027 1.123E+08 9.386E+10 2.110E+07 2.728E+05 100.0 5.218E+11 9.133E+12 1.923E+12 5.467E-10 158.5 1027 1.118E+08 9.274E+10 2.091E+07 2.688E+05 100.0 5.204E+11 9.030E+12 1.904E+12 5.408E-10 159.3 1027 1.113E+08 9.167E+10 2.072E+07 2.648E+05 100.0 5.190E+11 8.933E+12 1.886E+12 5.352E-10 160.0 1027 1.109E+08 9.066E+10 2.055E+07 2.609E+05 100.0 5.178E+11 8.842E+12 1.869E+12 5.300E-10 160.7 1027 1.105E+08 8.971E+10 2.039E+07 2.571E+05 100.0 5.168E+11 8.757E+12 1.853E+12 5.251E-10 161.4 1027 1.102E+08 8.882E+10 2.024E+07 2.535E+05 100.0 5.159E+11 8.678E+12 1.839E+12 5.206E-10 162.1 1027 1.100E+08 8.800E+10 2.010E+07 2.499E+05 100.0 5.153E+11 8.605E+12 1.825E+12 5.164E-10 162.9 1027 1.099E+08 8.724E+10 1.998E+07 2.466E+05 100.0 5.150E+11 8.539E+12 1.813E+12 5.126E-10 163.6 1027 1.098E+08 8.655E+10 1.987E+07 2.433E+05 100.0 5.149E+11 8.480E+12 1.802E+12 5.093E-10 164.3 1027 1.098E+08 8.592E+10 1.977E+07 2.403E+05 100.0 5.150E+11 8.427E+12 1.793E+12 5.063E-10 164.9 1027 1.099E+08 8.537E+10 1.969E+07 2.374E+05 100.0 5.155E+11 8.381E+12 1.785E+12 5.037E-10 165.6 1027 1.101E+08 8.488E+10 1.962E+07 2.347E+05 100.0 5.162E+11 8.342E+12 1.778E+12 5.015E-10 166.2 1027 1.103E+08 8.446E+10 1.956E+07 2.322E+05 100.0 5.172E+11 8.309E+12 1.772E+12 4.997E-10 166.8 1027 1.107E+08 8.411E+10 1.952E+07 2.298E+05 100.0 5.186E+11 8.283E+12 1.768E+12 4.983E-10 167.4 1027 1.111E+08 8.384E+10 1.949E+07 2.277E+05 100.0 5.202E+11 8.263E+12 1.765E+12 4.972E-10 168.0 1027 1.116E+08 8.362E+10 1.948E+07 2.257E+05 100.0 5.221E+11 8.249E+12 1.764E+12 4.965E-10 168.6 1027 1.121E+08 8.348E+10 1.948E+07 2.239E+05 100.0 5.244E+11 8.242E+12 1.763E+12 4.962E-10 169.1 1027 1.128E+08 8.340E+10 1.949E+07 2.223E+05 100.0 5.269E+11 8.241E+12 1.764E+12 4.963E-10 169.6 1027 1.135E+08 8.339E+10 1.951E+07 2.208E+05 100.0 5.297E+11 8.245E+12 1.766E+12 4.966E-10 170.0 1027 1.143E+08 8.343E+10 1.954E+07 2.195E+05 100.0 5.327E+11 8.255E+12 1.769E+12 4.974E-10 170.5 1027 1.152E+08 8.354E+10 1.959E+07 2.184E+05 100.0 5.360E+11 8.270E+12 1.773E+12 4.984E-10 170.9 1027 1.161E+08 8.370E+10 1.964E+07 2.174E+05 100.0 5.396E+11 8.290E+12 1.778E+12 4.997E-10 171.3 1027 1.171E+08 8.391E+10 1.971E+07 2.166E+05 100.0 5.433E+11 8.315E+12 1.784E+12 5.013E-10 171.7 1027 1.182E+08 8.418E+10 1.978E+07 2.159E+05 100.0 5.472E+11 8.344E+12 1.791E+12 5.031E-10 172.0 1027 1.193E+08 8.450E+10 1.986E+07 2.153E+05 100.0 5.513E+11 8.377E+12 1.799E+12 5.052E-10 172.4 1027 1.204E+08 8.485E+10 1.995E+07 2.148E+05 100.0 5.555E+11 8.414E+12 1.808E+12 5.075E-10 172.7 1027 1.216E+08 8.525E+10 2.004E+07 2.145E+05 100.0 5.598E+11 8.454E+12 1.817E+12 5.100E-10 173.0 1027 1.229E+08 8.569E+10 2.014E+07 2.142E+05 100.0 5.641E+11 8.497E+12 1.826E+12 5.127E-10 173.2 1027 1.241E+08 8.616E+10 2.024E+07 2.140E+05 100.0 5.685E+11 8.543E+12 1.837E+12 5.155E-10 173.5 1027 1.254E+08 8.666E+10 2.034E+07 2.139E+05 100.0 5.729E+11 8.590E+12 1.847E+12 5.184E-10 173.8 1027 1.267E+08 8.718E+10 2.044E+07 2.138E+05 100.0 5.773E+11 8.640E+12 1.858E+12 5.214E-10 174.0 1027 1.280E+08 8.772E+10 2.055E+07 2.138E+05 100.0 5.815E+11 8.690E+12 1.869E+12 5.245E-10 174.2 1027 1.293E+08 8.828E+10 2.065E+07 2.139E+05 100.0 5.857E+11 8.741E+12 1.881E+12 5.276E-10 174.5 1027 1.306E+08 8.885E+10 2.075E+07 2.140E+05 100.0 5.897E+11 8.792E+12 1.892E+12 5.308E-10 174.7 1027 1.319E+08 8.942E+10 2.084E+07 2.141E+05 100.0 5.935E+11 8.843E+12 1.903E+12 5.339E-10 175.0 1027 1.332E+08 8.999E+10 2.093E+07 2.142E+05 100.0 5.970E+11 8.893E+12 1.914E+12 5.369E-10 175.2 1027 1.344E+08 9.056E+10 2.102E+07 2.143E+05 100.0 6.004E+11 8.942E+12 1.925E+12 5.399E-10 175.4 1027 1.356E+08 9.112E+10 2.109E+07 2.144E+05 100.0 6.034E+11 8.990E+12 1.936E+12 5.428E-10 175.7 1027 1.368E+08 9.166E+10 2.116E+07 2.145E+05 100.0 6.061E+11 9.035E+12 1.946E+12 5.455E-10 176.0 1027 1.378E+08 9.219E+10 2.122E+07 2.146E+05 100.0 6.084E+11 9.078E+12 1.955E+12 5.481E-10 176.2 1027 1.389E+08 9.269E+10 2.127E+07 2.147E+05 100.0 6.104E+11 9.118E+12 1.964E+12 5.506E-10 176.5 1027 1.398E+08 9.317E+10 2.131E+07 2.147E+05 100.0 6.120E+11 9.155E+12 1.973E+12 5.528E-10 176.8 1027 1.407E+08 9.361E+10 2.134E+07 2.147E+05 100.0 6.131E+11 9.189E+12 1.980E+12 5.548E-10 177.1 1027 1.415E+08 9.402E+10 2.135E+07 2.147E+05 100.0 6.138E+11 9.218E+12 1.987E+12 5.566E-10 177.5 1027 1.422E+08 9.438E+10 2.135E+07 2.146E+05 100.0 6.141E+11 9.243E+12 1.993E+12 5.581E-10 177.8 1027 1.429E+08 9.471E+10 2.134E+07 2.145E+05 100.0 6.139E+11 9.264E+12 1.998E+12 5.594E-10 178.2 1027 1.434E+08 9.499E+10 2.131E+07 2.144E+05 100.0 6.132E+11 9.280E+12 2.003E+12 5.603E-10 178.6 1027 1.438E+08 9.522E+10 2.127E+07 2.142E+05 100.0 6.121E+11 9.292E+12 2.006E+12 5.610E-10 179.0 1027 1.442E+08 9.541E+10 2.122E+07 2.139E+05 100.0 6.106E+11 9.298E+12 2.008E+12 5.614E-10 179.4 1027 1.444E+08 9.554E+10 2.115E+07 2.137E+05 100.0 6.086E+11 9.300E+12 2.009E+12 5.615E-10 179.9 1027 1.445E+08 9.562E+10 2.107E+07 2.134E+05 100.0 6.062E+11 9.297E+12 2.010E+12 5.613E-10 180.3 1027 1.446E+08 9.565E+10 2.098E+07 2.131E+05 100.0 6.034E+11 9.289E+12 2.009E+12 5.608E-10 180.8 1027 1.445E+08 9.563E+10 2.088E+07 2.128E+05 100.0 6.002E+11 9.275E+12 2.008E+12 5.601E-10 181.3 1027 1.444E+08 9.556E+10 2.076E+07 2.125E+05 100.0 5.966E+11 9.258E+12 2.005E+12 5.590E-10 181.9 1027 1.441E+08 9.543E+10 2.063E+07 2.121E+05 100.0 5.927E+11 9.235E+12 2.002E+12 5.577E-10 182.4 1027 1.438E+08 9.526E+10 2.050E+07 2.118E+05 100.0 5.885E+11 9.208E+12 1.998E+12 5.561E-10 183.0 1027 1.434E+08 9.504E+10 2.035E+07 2.115E+05 100.0 5.841E+11 9.177E+12 1.993E+12 5.542E-10 183.5 1027 1.429E+08 9.477E+10 2.020E+07 2.112E+05 100.0 5.794E+11 9.142E+12 1.987E+12 5.521E-10 184.1 1027 1.423E+08 9.446E+10 2.003E+07 2.109E+05 100.0 5.745E+11 9.103E+12 1.980E+12 5.498E-10 184.7 1027 1.416E+08 9.411E+10 1.986E+07 2.107E+05 100.0 5.694E+11 9.061E+12 1.973E+12 5.473E-10 185.3 1027 1.409E+08 9.372E+10 1.969E+07 2.105E+05 100.0 5.642E+11 9.016E+12 1.965E+12 5.447E-10 186.0 1027 1.402E+08 9.330E+10 1.951E+07 2.103E+05 100.0 5.589E+11 8.969E+12 1.957E+12 5.418E-10 186.6 1027 1.394E+08 9.285E+10 1.933E+07 2.103E+05 100.0 5.536E+11 8.919E+12 1.948E+12 5.389E-10 187.2 1027 1.385E+08 9.237E+10 1.914E+07 2.103E+05 100.0 5.482E+11 8.867E+12 1.940E+12 5.358E-10 187.8 1027 1.376E+08 9.187E+10 1.896E+07 2.104E+05 100.0 5.429E+11 8.814E+12 1.930E+12 5.327E-10 188.5 1027 1.367E+08 9.135E+10 1.877E+07 2.106E+05 100.0 5.375E+11 8.759E+12 1.921E+12 5.295E-10 189.1 1027 1.358E+08 9.082E+10 1.858E+07 2.109E+05 100.0 5.323E+11 8.704E+12 1.911E+12 5.262E-10 189.7 1027 1.349E+08 9.028E+10 1.840E+07 2.113E+05 100.0 5.272E+11 8.649E+12 1.902E+12 5.230E-10 190.3 1027 1.339E+08 8.973E+10 1.822E+07 2.118E+05 100.0 5.222E+11 8.593E+12 1.892E+12 5.197E-10 190.9 1027 1.330E+08 8.919E+10 1.804E+07 2.124E+05 100.0 5.174E+11 8.538E+12 1.883E+12 5.165E-10 191.4 1027 1.320E+08 8.864E+10 1.786E+07 2.132E+05 100.0 5.127E+11 8.484E+12 1.874E+12 5.134E-10 192.0 1027 1.311E+08 8.810E+10 1.770E+07 2.141E+05 100.0 5.083E+11 8.431E+12 1.865E+12 5.103E-10 192.5 1027 1.302E+08 8.757E+10 1.753E+07 2.151E+05 100.0 5.041E+11 8.380E+12 1.856E+12 5.073E-10 193.0 1027 1.293E+08 8.706E+10 1.737E+07 2.163E+05 100.0 5.002E+11 8.330E+12 1.848E+12 5.044E-10 193.5 1027 1.285E+08 8.656E+10 1.722E+07 2.177E+05 100.0 4.965E+11 8.283E+12 1.841E+12 5.017E-10 194.0 1027 1.276E+08 8.608E+10 1.708E+07 2.192E+05 100.0 4.932E+11 8.238E+12 1.834E+12 4.991E-10 194.4 1027 1.269E+08 8.562E+10 1.694E+07 2.209E+05 100.0 4.901E+11 8.196E+12 1.827E+12 4.967E-10 194.7 1027 1.261E+08 8.520E+10 1.682E+07 2.227E+05 100.0 4.873E+11 8.156E+12 1.821E+12 4.944E-10 195.1 1027 1.255E+08 8.480E+10 1.670E+07 2.247E+05 100.0 4.849E+11 8.120E+12 1.816E+12 4.924E-10 195.4 1027 1.248E+08 8.443E+10 1.659E+07 2.268E+05 100.0 4.828E+11 8.087E+12 1.811E+12 4.905E-10 195.6 1027 1.243E+08 8.409E+10 1.649E+07 2.292E+05 100.0 4.810E+11 8.057E+12 1.808E+12 4.889E-10 195.9 1027 1.237E+08 8.379E+10 1.639E+07 2.317E+05 100.0 4.796E+11 8.032E+12 1.804E+12 4.875E-10 196.0 1027 1.233E+08 8.353E+10 1.631E+07 2.343E+05 100.0 4.785E+11 8.010E+12 1.802E+12 4.863E-10 196.1 1027 1.229E+08 8.330E+10 1.624E+07 2.372E+05 100.0 4.778E+11 7.991E+12 1.801E+12 4.853E-10 196.2 1027 1.225E+08 8.311E+10 1.617E+07 2.401E+05 100.0 4.775E+11 7.977E+12 1.800E+12 4.846E-10 196.3 1027 1.222E+08 8.297E+10 1.612E+07 2.433E+05 100.0 4.774E+11 7.967E+12 1.800E+12 4.841E-10 196.2 1027 1.220E+08 8.286E+10 1.607E+07 2.466E+05fluids-1.0.22/tests/nrlmsise00/known_data_longitudes.txt0000644000175000017500000010431014302004506022662 0ustar nileshnilesh100.0 5.632E+11 9.289E+12 2.039E+12 5.614E-10 183.0 1027 1.326E+08 9.506E+10 2.027E+07 3.020E+05 100.0 5.641E+11 9.298E+12 2.040E+12 5.618E-10 182.6 1027 1.329E+08 9.516E+10 2.034E+07 3.001E+05 100.0 5.650E+11 9.306E+12 2.041E+12 5.623E-10 182.3 1027 1.332E+08 9.525E+10 2.040E+07 2.981E+05 100.0 5.659E+11 9.314E+12 2.042E+12 5.627E-10 182.0 1027 1.335E+08 9.534E+10 2.046E+07 2.961E+05 100.0 5.668E+11 9.321E+12 2.042E+12 5.631E-10 181.7 1027 1.338E+08 9.543E+10 2.052E+07 2.940E+05 100.0 5.677E+11 9.328E+12 2.043E+12 5.635E-10 181.4 1027 1.341E+08 9.550E+10 2.058E+07 2.920E+05 100.0 5.687E+11 9.335E+12 2.043E+12 5.639E-10 181.1 1027 1.344E+08 9.557E+10 2.064E+07 2.899E+05 100.0 5.696E+11 9.340E+12 2.044E+12 5.642E-10 180.8 1027 1.347E+08 9.564E+10 2.070E+07 2.879E+05 100.0 5.706E+11 9.346E+12 2.044E+12 5.645E-10 180.5 1027 1.349E+08 9.570E+10 2.076E+07 2.858E+05 100.0 5.715E+11 9.350E+12 2.044E+12 5.647E-10 180.2 1027 1.352E+08 9.575E+10 2.081E+07 2.837E+05 100.0 5.725E+11 9.355E+12 2.044E+12 5.649E-10 180.0 1027 1.354E+08 9.580E+10 2.086E+07 2.816E+05 100.0 5.735E+11 9.358E+12 2.043E+12 5.651E-10 179.7 1027 1.357E+08 9.584E+10 2.091E+07 2.795E+05 100.0 5.744E+11 9.361E+12 2.043E+12 5.653E-10 179.4 1027 1.359E+08 9.587E+10 2.096E+07 2.774E+05 100.0 5.754E+11 9.364E+12 2.043E+12 5.654E-10 179.2 1027 1.362E+08 9.590E+10 2.101E+07 2.752E+05 100.0 5.764E+11 9.365E+12 2.042E+12 5.655E-10 179.0 1027 1.364E+08 9.592E+10 2.105E+07 2.731E+05 100.0 5.774E+11 9.367E+12 2.041E+12 5.655E-10 178.7 1027 1.366E+08 9.594E+10 2.110E+07 2.710E+05 100.0 5.785E+11 9.367E+12 2.041E+12 5.655E-10 178.5 1027 1.369E+08 9.595E+10 2.114E+07 2.689E+05 100.0 5.795E+11 9.367E+12 2.040E+12 5.655E-10 178.3 1027 1.371E+08 9.595E+10 2.118E+07 2.667E+05 100.0 5.805E+11 9.367E+12 2.039E+12 5.655E-10 178.1 1027 1.373E+08 9.594E+10 2.121E+07 2.646E+05 100.0 5.815E+11 9.366E+12 2.038E+12 5.654E-10 177.9 1027 1.375E+08 9.593E+10 2.125E+07 2.625E+05 100.0 5.826E+11 9.364E+12 2.036E+12 5.652E-10 177.7 1027 1.377E+08 9.591E+10 2.128E+07 2.604E+05 100.0 5.836E+11 9.362E+12 2.035E+12 5.651E-10 177.5 1027 1.379E+08 9.588E+10 2.131E+07 2.583E+05 100.0 5.847E+11 9.359E+12 2.033E+12 5.649E-10 177.4 1027 1.380E+08 9.585E+10 2.134E+07 2.562E+05 100.0 5.858E+11 9.355E+12 2.032E+12 5.647E-10 177.2 1027 1.382E+08 9.581E+10 2.136E+07 2.542E+05 100.0 5.868E+11 9.351E+12 2.030E+12 5.644E-10 177.1 1027 1.384E+08 9.576E+10 2.138E+07 2.521E+05 100.0 5.879E+11 9.346E+12 2.028E+12 5.641E-10 177.0 1027 1.385E+08 9.571E+10 2.141E+07 2.501E+05 100.0 5.890E+11 9.341E+12 2.026E+12 5.638E-10 176.8 1027 1.387E+08 9.565E+10 2.142E+07 2.480E+05 100.0 5.901E+11 9.335E+12 2.024E+12 5.634E-10 176.7 1027 1.388E+08 9.558E+10 2.144E+07 2.460E+05 100.0 5.912E+11 9.328E+12 2.021E+12 5.630E-10 176.6 1027 1.389E+08 9.551E+10 2.145E+07 2.440E+05 100.0 5.923E+11 9.321E+12 2.019E+12 5.625E-10 176.5 1027 1.390E+08 9.542E+10 2.146E+07 2.421E+05 100.0 5.934E+11 9.313E+12 2.017E+12 5.621E-10 176.5 1027 1.392E+08 9.533E+10 2.147E+07 2.401E+05 100.0 5.945E+11 9.304E+12 2.014E+12 5.615E-10 176.4 1027 1.393E+08 9.524E+10 2.148E+07 2.382E+05 100.0 5.956E+11 9.295E+12 2.011E+12 5.610E-10 176.3 1027 1.394E+08 9.514E+10 2.148E+07 2.363E+05 100.0 5.968E+11 9.285E+12 2.008E+12 5.604E-10 176.3 1027 1.395E+08 9.502E+10 2.148E+07 2.345E+05 100.0 5.979E+11 9.274E+12 2.005E+12 5.598E-10 176.3 1027 1.395E+08 9.491E+10 2.148E+07 2.327E+05 100.0 5.990E+11 9.263E+12 2.002E+12 5.591E-10 176.2 1027 1.396E+08 9.478E+10 2.148E+07 2.309E+05 100.0 6.002E+11 9.252E+12 1.999E+12 5.584E-10 176.2 1027 1.397E+08 9.465E+10 2.147E+07 2.291E+05 100.0 6.013E+11 9.239E+12 1.995E+12 5.577E-10 176.2 1027 1.397E+08 9.451E+10 2.146E+07 2.273E+05 100.0 6.024E+11 9.226E+12 1.992E+12 5.569E-10 176.2 1027 1.398E+08 9.437E+10 2.145E+07 2.256E+05 100.0 6.036E+11 9.213E+12 1.988E+12 5.561E-10 176.2 1027 1.398E+08 9.422E+10 2.144E+07 2.240E+05 100.0 6.047E+11 9.198E+12 1.985E+12 5.553E-10 176.3 1027 1.398E+08 9.406E+10 2.142E+07 2.223E+05 100.0 6.058E+11 9.184E+12 1.981E+12 5.544E-10 176.3 1027 1.398E+08 9.389E+10 2.141E+07 2.207E+05 100.0 6.070E+11 9.168E+12 1.977E+12 5.535E-10 176.3 1027 1.399E+08 9.372E+10 2.138E+07 2.192E+05 100.0 6.081E+11 9.152E+12 1.973E+12 5.525E-10 176.4 1027 1.399E+08 9.354E+10 2.136E+07 2.177E+05 100.0 6.093E+11 9.136E+12 1.969E+12 5.516E-10 176.5 1027 1.398E+08 9.336E+10 2.134E+07 2.162E+05 100.0 6.104E+11 9.118E+12 1.964E+12 5.506E-10 176.5 1027 1.398E+08 9.317E+10 2.131E+07 2.147E+05 100.0 6.115E+11 9.101E+12 1.960E+12 5.495E-10 176.6 1027 1.398E+08 9.297E+10 2.128E+07 2.133E+05 100.0 6.126E+11 9.082E+12 1.955E+12 5.484E-10 176.7 1027 1.398E+08 9.277E+10 2.125E+07 2.120E+05 100.0 6.138E+11 9.063E+12 1.951E+12 5.473E-10 176.8 1027 1.397E+08 9.256E+10 2.121E+07 2.106E+05 100.0 6.149E+11 9.044E+12 1.946E+12 5.462E-10 176.9 1027 1.397E+08 9.234E+10 2.118E+07 2.094E+05 100.0 6.160E+11 9.024E+12 1.941E+12 5.450E-10 177.0 1027 1.396E+08 9.212E+10 2.114E+07 2.081E+05 100.0 6.171E+11 9.003E+12 1.936E+12 5.438E-10 177.1 1027 1.395E+08 9.189E+10 2.110E+07 2.069E+05 100.0 6.182E+11 8.982E+12 1.931E+12 5.426E-10 177.2 1027 1.394E+08 9.166E+10 2.106E+07 2.058E+05 100.0 6.193E+11 8.961E+12 1.926E+12 5.413E-10 177.3 1027 1.394E+08 9.142E+10 2.102E+07 2.047E+05 100.0 6.203E+11 8.939E+12 1.921E+12 5.401E-10 177.4 1027 1.393E+08 9.118E+10 2.097E+07 2.036E+05 100.0 6.214E+11 8.916E+12 1.916E+12 5.387E-10 177.6 1027 1.391E+08 9.093E+10 2.092E+07 2.026E+05 100.0 6.224E+11 8.893E+12 1.911E+12 5.374E-10 177.7 1027 1.390E+08 9.068E+10 2.087E+07 2.017E+05 100.0 6.235E+11 8.870E+12 1.905E+12 5.360E-10 177.8 1027 1.389E+08 9.042E+10 2.082E+07 2.008E+05 100.0 6.245E+11 8.846E+12 1.900E+12 5.346E-10 178.0 1027 1.388E+08 9.016E+10 2.077E+07 1.999E+05 100.0 6.255E+11 8.821E+12 1.894E+12 5.332E-10 178.1 1027 1.386E+08 8.989E+10 2.072E+07 1.991E+05 100.0 6.265E+11 8.796E+12 1.889E+12 5.318E-10 178.3 1027 1.385E+08 8.962E+10 2.066E+07 1.983E+05 100.0 6.275E+11 8.771E+12 1.883E+12 5.303E-10 178.4 1027 1.383E+08 8.935E+10 2.061E+07 1.976E+05 100.0 6.284E+11 8.746E+12 1.877E+12 5.288E-10 178.6 1027 1.381E+08 8.907E+10 2.055E+07 1.969E+05 100.0 6.293E+11 8.720E+12 1.872E+12 5.273E-10 178.7 1027 1.380E+08 8.879E+10 2.049E+07 1.963E+05 100.0 6.302E+11 8.694E+12 1.866E+12 5.258E-10 178.9 1027 1.378E+08 8.850E+10 2.043E+07 1.957E+05 100.0 6.311E+11 8.667E+12 1.860E+12 5.243E-10 179.0 1027 1.376E+08 8.822E+10 2.037E+07 1.951E+05 100.0 6.320E+11 8.640E+12 1.854E+12 5.227E-10 179.2 1027 1.374E+08 8.793E+10 2.031E+07 1.947E+05 100.0 6.328E+11 8.613E+12 1.848E+12 5.212E-10 179.3 1027 1.372E+08 8.763E+10 2.024E+07 1.942E+05 100.0 6.336E+11 8.586E+12 1.842E+12 5.196E-10 179.5 1027 1.370E+08 8.734E+10 2.018E+07 1.939E+05 100.0 6.344E+11 8.559E+12 1.836E+12 5.180E-10 179.6 1027 1.367E+08 8.704E+10 2.011E+07 1.935E+05 100.0 6.352E+11 8.531E+12 1.830E+12 5.164E-10 179.8 1027 1.365E+08 8.674E+10 2.005E+07 1.932E+05 100.0 6.359E+11 8.503E+12 1.824E+12 5.148E-10 179.9 1027 1.363E+08 8.644E+10 1.998E+07 1.930E+05 100.0 6.366E+11 8.475E+12 1.818E+12 5.131E-10 180.0 1027 1.360E+08 8.614E+10 1.991E+07 1.928E+05 100.0 6.373E+11 8.447E+12 1.812E+12 5.115E-10 180.2 1027 1.358E+08 8.584E+10 1.985E+07 1.927E+05 100.0 6.379E+11 8.418E+12 1.806E+12 5.099E-10 180.3 1027 1.355E+08 8.554E+10 1.978E+07 1.926E+05 100.0 6.385E+11 8.390E+12 1.800E+12 5.082E-10 180.4 1027 1.353E+08 8.523E+10 1.971E+07 1.926E+05 100.0 6.391E+11 8.362E+12 1.794E+12 5.066E-10 180.6 1027 1.350E+08 8.493E+10 1.964E+07 1.926E+05 100.0 6.396E+11 8.333E+12 1.788E+12 5.049E-10 180.7 1027 1.347E+08 8.463E+10 1.957E+07 1.927E+05 100.0 6.401E+11 8.305E+12 1.782E+12 5.033E-10 180.8 1027 1.344E+08 8.433E+10 1.950E+07 1.928E+05 100.0 6.406E+11 8.277E+12 1.776E+12 5.017E-10 180.9 1027 1.342E+08 8.403E+10 1.944E+07 1.930E+05 100.0 6.410E+11 8.248E+12 1.770E+12 5.000E-10 181.1 1027 1.339E+08 8.373E+10 1.937E+07 1.932E+05 100.0 6.414E+11 8.220E+12 1.765E+12 4.984E-10 181.2 1027 1.336E+08 8.343E+10 1.930E+07 1.935E+05 100.0 6.418E+11 8.192E+12 1.759E+12 4.968E-10 181.3 1027 1.333E+08 8.313E+10 1.923E+07 1.938E+05 100.0 6.421E+11 8.164E+12 1.753E+12 4.951E-10 181.4 1027 1.330E+08 8.283E+10 1.916E+07 1.942E+05 100.0 6.424E+11 8.136E+12 1.747E+12 4.935E-10 181.5 1027 1.327E+08 8.254E+10 1.909E+07 1.946E+05 100.0 6.426E+11 8.109E+12 1.742E+12 4.919E-10 181.5 1027 1.324E+08 8.225E+10 1.902E+07 1.951E+05 100.0 6.428E+11 8.082E+12 1.736E+12 4.904E-10 181.6 1027 1.321E+08 8.196E+10 1.895E+07 1.956E+05 100.0 6.430E+11 8.054E+12 1.731E+12 4.888E-10 181.7 1027 1.318E+08 8.168E+10 1.889E+07 1.962E+05 100.0 6.431E+11 8.028E+12 1.725E+12 4.873E-10 181.8 1027 1.315E+08 8.140E+10 1.882E+07 1.968E+05 100.0 6.432E+11 8.001E+12 1.720E+12 4.857E-10 181.8 1027 1.311E+08 8.112E+10 1.875E+07 1.975E+05 100.0 6.432E+11 7.975E+12 1.715E+12 4.842E-10 181.9 1027 1.308E+08 8.085E+10 1.869E+07 1.982E+05 100.0 6.432E+11 7.949E+12 1.710E+12 4.827E-10 181.9 1027 1.305E+08 8.058E+10 1.862E+07 1.990E+05 100.0 6.431E+11 7.924E+12 1.704E+12 4.813E-10 182.0 1027 1.302E+08 8.032E+10 1.856E+07 1.998E+05 100.0 6.431E+11 7.899E+12 1.700E+12 4.798E-10 182.0 1027 1.299E+08 8.006E+10 1.849E+07 2.007E+05 100.0 6.429E+11 7.875E+12 1.695E+12 4.784E-10 182.1 1027 1.296E+08 7.981E+10 1.843E+07 2.016E+05 100.0 6.428E+11 7.851E+12 1.690E+12 4.770E-10 182.1 1027 1.293E+08 7.956E+10 1.837E+07 2.026E+05 100.0 6.426E+11 7.827E+12 1.685E+12 4.757E-10 182.1 1027 1.290E+08 7.932E+10 1.831E+07 2.036E+05 100.0 6.423E+11 7.804E+12 1.681E+12 4.743E-10 182.1 1027 1.286E+08 7.908E+10 1.824E+07 2.047E+05 100.0 6.420E+11 7.782E+12 1.677E+12 4.730E-10 182.1 1027 1.283E+08 7.885E+10 1.819E+07 2.058E+05 100.0 6.417E+11 7.760E+12 1.672E+12 4.718E-10 182.1 1027 1.280E+08 7.862E+10 1.813E+07 2.070E+05 100.0 6.413E+11 7.738E+12 1.668E+12 4.705E-10 182.1 1027 1.277E+08 7.841E+10 1.807E+07 2.082E+05 100.0 6.409E+11 7.718E+12 1.664E+12 4.694E-10 182.1 1027 1.274E+08 7.820E+10 1.801E+07 2.095E+05 100.0 6.405E+11 7.698E+12 1.661E+12 4.682E-10 182.1 1027 1.271E+08 7.799E+10 1.796E+07 2.108E+05 100.0 6.400E+11 7.678E+12 1.657E+12 4.671E-10 182.1 1027 1.268E+08 7.780E+10 1.790E+07 2.122E+05 100.0 6.395E+11 7.660E+12 1.654E+12 4.660E-10 182.1 1027 1.265E+08 7.761E+10 1.785E+07 2.136E+05 100.0 6.389E+11 7.642E+12 1.650E+12 4.650E-10 182.1 1027 1.263E+08 7.743E+10 1.780E+07 2.150E+05 100.0 6.384E+11 7.625E+12 1.647E+12 4.640E-10 182.0 1027 1.260E+08 7.725E+10 1.775E+07 2.165E+05 100.0 6.377E+11 7.608E+12 1.644E+12 4.630E-10 182.0 1027 1.257E+08 7.709E+10 1.770E+07 2.181E+05 100.0 6.371E+11 7.592E+12 1.641E+12 4.621E-10 182.0 1027 1.254E+08 7.693E+10 1.765E+07 2.197E+05 100.0 6.364E+11 7.577E+12 1.639E+12 4.612E-10 181.9 1027 1.252E+08 7.678E+10 1.760E+07 2.213E+05 100.0 6.357E+11 7.563E+12 1.636E+12 4.604E-10 181.9 1027 1.249E+08 7.664E+10 1.755E+07 2.230E+05 100.0 6.350E+11 7.550E+12 1.634E+12 4.597E-10 181.9 1027 1.246E+08 7.651E+10 1.751E+07 2.247E+05 100.0 6.342E+11 7.537E+12 1.632E+12 4.589E-10 181.8 1027 1.244E+08 7.639E+10 1.747E+07 2.264E+05 100.0 6.334E+11 7.526E+12 1.630E+12 4.583E-10 181.8 1027 1.242E+08 7.628E+10 1.742E+07 2.282E+05 100.0 6.326E+11 7.515E+12 1.628E+12 4.576E-10 181.7 1027 1.239E+08 7.617E+10 1.738E+07 2.301E+05 100.0 6.317E+11 7.505E+12 1.627E+12 4.571E-10 181.7 1027 1.237E+08 7.608E+10 1.734E+07 2.319E+05 100.0 6.309E+11 7.496E+12 1.625E+12 4.566E-10 181.6 1027 1.235E+08 7.599E+10 1.731E+07 2.338E+05 100.0 6.300E+11 7.488E+12 1.624E+12 4.561E-10 181.6 1027 1.233E+08 7.592E+10 1.727E+07 2.358E+05 100.0 6.291E+11 7.481E+12 1.623E+12 4.557E-10 181.5 1027 1.231E+08 7.585E+10 1.723E+07 2.378E+05 100.0 6.282E+11 7.475E+12 1.622E+12 4.553E-10 181.4 1027 1.229E+08 7.579E+10 1.720E+07 2.398E+05 100.0 6.272E+11 7.469E+12 1.622E+12 4.550E-10 181.4 1027 1.227E+08 7.575E+10 1.717E+07 2.419E+05 100.0 6.263E+11 7.465E+12 1.622E+12 4.548E-10 181.3 1027 1.225E+08 7.571E+10 1.714E+07 2.439E+05 100.0 6.253E+11 7.461E+12 1.621E+12 4.546E-10 181.3 1027 1.223E+08 7.568E+10 1.711E+07 2.461E+05 100.0 6.243E+11 7.459E+12 1.621E+12 4.544E-10 181.2 1027 1.222E+08 7.567E+10 1.708E+07 2.482E+05 100.0 6.233E+11 7.457E+12 1.622E+12 4.543E-10 181.2 1027 1.220E+08 7.566E+10 1.705E+07 2.504E+05 100.0 6.224E+11 7.457E+12 1.622E+12 4.543E-10 181.1 1027 1.219E+08 7.567E+10 1.703E+07 2.526E+05 100.0 6.213E+11 7.457E+12 1.623E+12 4.543E-10 181.1 1027 1.218E+08 7.568E+10 1.700E+07 2.548E+05 100.0 6.203E+11 7.459E+12 1.624E+12 4.544E-10 181.0 1027 1.216E+08 7.570E+10 1.698E+07 2.571E+05 100.0 6.193E+11 7.461E+12 1.625E+12 4.546E-10 181.0 1027 1.215E+08 7.574E+10 1.696E+07 2.594E+05 100.0 6.183E+11 7.464E+12 1.626E+12 4.548E-10 180.9 1027 1.214E+08 7.578E+10 1.694E+07 2.617E+05 100.0 6.173E+11 7.469E+12 1.627E+12 4.550E-10 180.9 1027 1.213E+08 7.584E+10 1.692E+07 2.640E+05 100.0 6.163E+11 7.474E+12 1.629E+12 4.553E-10 180.8 1027 1.212E+08 7.590E+10 1.690E+07 2.663E+05 100.0 6.153E+11 7.480E+12 1.631E+12 4.557E-10 180.8 1027 1.212E+08 7.598E+10 1.689E+07 2.687E+05 100.0 6.143E+11 7.488E+12 1.633E+12 4.561E-10 180.7 1027 1.211E+08 7.606E+10 1.687E+07 2.711E+05 100.0 6.133E+11 7.496E+12 1.635E+12 4.566E-10 180.7 1027 1.211E+08 7.616E+10 1.686E+07 2.735E+05 100.0 6.123E+11 7.505E+12 1.638E+12 4.571E-10 180.7 1027 1.210E+08 7.626E+10 1.685E+07 2.759E+05 100.0 6.113E+11 7.515E+12 1.640E+12 4.577E-10 180.6 1027 1.210E+08 7.637E+10 1.684E+07 2.783E+05 100.0 6.103E+11 7.526E+12 1.643E+12 4.584E-10 180.6 1027 1.210E+08 7.650E+10 1.683E+07 2.807E+05 100.0 6.093E+11 7.538E+12 1.646E+12 4.591E-10 180.6 1027 1.209E+08 7.663E+10 1.682E+07 2.832E+05 100.0 6.084E+11 7.551E+12 1.649E+12 4.598E-10 180.6 1027 1.209E+08 7.678E+10 1.681E+07 2.856E+05 100.0 6.074E+11 7.565E+12 1.653E+12 4.606E-10 180.6 1027 1.209E+08 7.693E+10 1.681E+07 2.880E+05 100.0 6.065E+11 7.579E+12 1.656E+12 4.615E-10 180.5 1027 1.210E+08 7.709E+10 1.680E+07 2.905E+05 100.0 6.056E+11 7.595E+12 1.660E+12 4.624E-10 180.5 1027 1.210E+08 7.726E+10 1.680E+07 2.929E+05 100.0 6.047E+11 7.611E+12 1.664E+12 4.634E-10 180.5 1027 1.210E+08 7.744E+10 1.679E+07 2.954E+05 100.0 6.038E+11 7.629E+12 1.668E+12 4.644E-10 180.5 1027 1.211E+08 7.763E+10 1.679E+07 2.978E+05 100.0 6.029E+11 7.647E+12 1.672E+12 4.654E-10 180.5 1027 1.211E+08 7.783E+10 1.679E+07 3.002E+05 100.0 6.021E+11 7.666E+12 1.677E+12 4.665E-10 180.5 1027 1.212E+08 7.803E+10 1.679E+07 3.027E+05 100.0 6.013E+11 7.685E+12 1.681E+12 4.677E-10 180.5 1027 1.212E+08 7.824E+10 1.679E+07 3.051E+05 100.0 6.005E+11 7.706E+12 1.686E+12 4.689E-10 180.5 1027 1.213E+08 7.846E+10 1.679E+07 3.075E+05 100.0 5.997E+11 7.727E+12 1.691E+12 4.701E-10 180.6 1027 1.214E+08 7.869E+10 1.680E+07 3.099E+05 100.0 5.989E+11 7.749E+12 1.696E+12 4.714E-10 180.6 1027 1.215E+08 7.893E+10 1.680E+07 3.123E+05 100.0 5.982E+11 7.772E+12 1.701E+12 4.727E-10 180.6 1027 1.216E+08 7.917E+10 1.680E+07 3.146E+05 100.0 5.975E+11 7.795E+12 1.706E+12 4.741E-10 180.6 1027 1.217E+08 7.942E+10 1.681E+07 3.170E+05 100.0 5.968E+11 7.819E+12 1.711E+12 4.754E-10 180.6 1027 1.218E+08 7.967E+10 1.682E+07 3.193E+05 100.0 5.961E+11 7.843E+12 1.717E+12 4.769E-10 180.7 1027 1.220E+08 7.993E+10 1.682E+07 3.216E+05 100.0 5.954E+11 7.868E+12 1.722E+12 4.783E-10 180.7 1027 1.221E+08 8.020E+10 1.683E+07 3.239E+05 100.0 5.948E+11 7.894E+12 1.728E+12 4.798E-10 180.7 1027 1.222E+08 8.047E+10 1.684E+07 3.262E+05 100.0 5.942E+11 7.920E+12 1.733E+12 4.813E-10 180.8 1027 1.224E+08 8.075E+10 1.684E+07 3.284E+05 100.0 5.937E+11 7.946E+12 1.739E+12 4.829E-10 180.8 1027 1.225E+08 8.103E+10 1.685E+07 3.306E+05 100.0 5.931E+11 7.973E+12 1.745E+12 4.844E-10 180.8 1027 1.227E+08 8.132E+10 1.686E+07 3.328E+05 100.0 5.926E+11 8.000E+12 1.751E+12 4.860E-10 180.9 1027 1.228E+08 8.161E+10 1.687E+07 3.349E+05 100.0 5.921E+11 8.028E+12 1.757E+12 4.876E-10 180.9 1027 1.230E+08 8.190E+10 1.688E+07 3.370E+05 100.0 5.916E+11 8.056E+12 1.763E+12 4.893E-10 180.9 1027 1.231E+08 8.220E+10 1.689E+07 3.391E+05 100.0 5.911E+11 8.084E+12 1.769E+12 4.909E-10 181.0 1027 1.233E+08 8.250E+10 1.690E+07 3.411E+05 100.0 5.907E+11 8.113E+12 1.775E+12 4.926E-10 181.0 1027 1.235E+08 8.280E+10 1.691E+07 3.431E+05 100.0 5.903E+11 8.141E+12 1.781E+12 4.942E-10 181.1 1027 1.236E+08 8.310E+10 1.692E+07 3.450E+05 100.0 5.899E+11 8.170E+12 1.787E+12 4.959E-10 181.1 1027 1.238E+08 8.340E+10 1.693E+07 3.469E+05 100.0 5.895E+11 8.199E+12 1.793E+12 4.976E-10 181.1 1027 1.240E+08 8.371E+10 1.694E+07 3.488E+05 100.0 5.892E+11 8.228E+12 1.800E+12 4.993E-10 181.2 1027 1.242E+08 8.401E+10 1.695E+07 3.506E+05 100.0 5.889E+11 8.257E+12 1.806E+12 5.009E-10 181.2 1027 1.243E+08 8.432E+10 1.696E+07 3.524E+05 100.0 5.886E+11 8.286E+12 1.812E+12 5.026E-10 181.2 1027 1.245E+08 8.462E+10 1.697E+07 3.541E+05 100.0 5.883E+11 8.314E+12 1.818E+12 5.043E-10 181.3 1027 1.247E+08 8.492E+10 1.698E+07 3.558E+05 100.0 5.881E+11 8.343E+12 1.824E+12 5.059E-10 181.3 1027 1.248E+08 8.522E+10 1.699E+07 3.575E+05 100.0 5.878E+11 8.371E+12 1.830E+12 5.076E-10 181.3 1027 1.250E+08 8.552E+10 1.700E+07 3.591E+05 100.0 5.876E+11 8.400E+12 1.836E+12 5.092E-10 181.4 1027 1.252E+08 8.582E+10 1.701E+07 3.606E+05 100.0 5.874E+11 8.428E+12 1.841E+12 5.109E-10 181.4 1027 1.253E+08 8.611E+10 1.702E+07 3.621E+05 100.0 5.872E+11 8.455E+12 1.847E+12 5.125E-10 181.4 1027 1.255E+08 8.641E+10 1.703E+07 3.636E+05 100.0 5.870E+11 8.483E+12 1.853E+12 5.141E-10 181.4 1027 1.257E+08 8.669E+10 1.703E+07 3.650E+05 100.0 5.869E+11 8.510E+12 1.858E+12 5.156E-10 181.4 1027 1.258E+08 8.698E+10 1.704E+07 3.663E+05 100.0 5.867E+11 8.536E+12 1.864E+12 5.172E-10 181.4 1027 1.260E+08 8.725E+10 1.705E+07 3.676E+05 100.0 5.866E+11 8.562E+12 1.869E+12 5.187E-10 181.4 1027 1.261E+08 8.753E+10 1.706E+07 3.688E+05 100.0 5.865E+11 8.588E+12 1.874E+12 5.201E-10 181.4 1027 1.263E+08 8.779E+10 1.706E+07 3.700E+05 100.0 5.864E+11 8.613E+12 1.880E+12 5.216E-10 181.4 1027 1.264E+08 8.805E+10 1.707E+07 3.712E+05 100.0 5.863E+11 8.637E+12 1.884E+12 5.230E-10 181.4 1027 1.265E+08 8.831E+10 1.707E+07 3.723E+05 100.0 5.862E+11 8.661E+12 1.889E+12 5.244E-10 181.4 1027 1.266E+08 8.856E+10 1.708E+07 3.733E+05 100.0 5.862E+11 8.684E+12 1.894E+12 5.257E-10 181.4 1027 1.268E+08 8.880E+10 1.708E+07 3.743E+05 100.0 5.861E+11 8.706E+12 1.898E+12 5.270E-10 181.4 1027 1.269E+08 8.903E+10 1.709E+07 3.752E+05 100.0 5.861E+11 8.728E+12 1.903E+12 5.282E-10 181.4 1027 1.270E+08 8.926E+10 1.709E+07 3.761E+05 100.0 5.860E+11 8.749E+12 1.907E+12 5.294E-10 181.3 1027 1.270E+08 8.947E+10 1.709E+07 3.769E+05 100.0 5.860E+11 8.769E+12 1.911E+12 5.306E-10 181.3 1027 1.271E+08 8.968E+10 1.709E+07 3.777E+05 100.0 5.859E+11 8.788E+12 1.915E+12 5.317E-10 181.2 1027 1.272E+08 8.988E+10 1.709E+07 3.785E+05 100.0 5.859E+11 8.806E+12 1.919E+12 5.328E-10 181.2 1027 1.273E+08 9.007E+10 1.709E+07 3.792E+05 100.0 5.859E+11 8.823E+12 1.922E+12 5.338E-10 181.1 1027 1.273E+08 9.026E+10 1.709E+07 3.798E+05 100.0 5.859E+11 8.840E+12 1.925E+12 5.347E-10 181.1 1027 1.274E+08 9.043E+10 1.709E+07 3.804E+05 100.0 5.858E+11 8.855E+12 1.928E+12 5.356E-10 181.0 1027 1.274E+08 9.059E+10 1.709E+07 3.809E+05 100.0 5.858E+11 8.870E+12 1.931E+12 5.365E-10 180.9 1027 1.274E+08 9.074E+10 1.708E+07 3.814E+05 100.0 5.858E+11 8.884E+12 1.934E+12 5.372E-10 180.9 1027 1.274E+08 9.088E+10 1.708E+07 3.819E+05 100.0 5.858E+11 8.896E+12 1.936E+12 5.380E-10 180.8 1027 1.274E+08 9.101E+10 1.707E+07 3.823E+05 100.0 5.857E+11 8.908E+12 1.939E+12 5.386E-10 180.7 1027 1.274E+08 9.113E+10 1.707E+07 3.827E+05 100.0 5.857E+11 8.918E+12 1.941E+12 5.392E-10 180.6 1027 1.274E+08 9.124E+10 1.706E+07 3.830E+05 100.0 5.857E+11 8.928E+12 1.943E+12 5.398E-10 180.5 1027 1.274E+08 9.134E+10 1.706E+07 3.833E+05 100.0 5.856E+11 8.937E+12 1.944E+12 5.403E-10 180.4 1027 1.274E+08 9.143E+10 1.705E+07 3.836E+05 100.0 5.856E+11 8.944E+12 1.946E+12 5.407E-10 180.3 1027 1.273E+08 9.151E+10 1.704E+07 3.838E+05 100.0 5.855E+11 8.951E+12 1.947E+12 5.411E-10 180.2 1027 1.272E+08 9.158E+10 1.703E+07 3.839E+05 100.0 5.855E+11 8.956E+12 1.948E+12 5.414E-10 180.0 1027 1.272E+08 9.163E+10 1.702E+07 3.841E+05 100.0 5.854E+11 8.960E+12 1.949E+12 5.416E-10 179.9 1027 1.271E+08 9.168E+10 1.701E+07 3.842E+05 100.0 5.854E+11 8.964E+12 1.950E+12 5.418E-10 179.8 1027 1.270E+08 9.171E+10 1.700E+07 3.843E+05 100.0 5.853E+11 8.966E+12 1.950E+12 5.420E-10 179.7 1027 1.269E+08 9.174E+10 1.698E+07 3.843E+05 100.0 5.852E+11 8.967E+12 1.950E+12 5.421E-10 179.5 1027 1.268E+08 9.175E+10 1.697E+07 3.843E+05 100.0 5.851E+11 8.968E+12 1.951E+12 5.421E-10 179.4 1027 1.267E+08 9.176E+10 1.696E+07 3.843E+05 100.0 5.850E+11 8.967E+12 1.950E+12 5.420E-10 179.2 1027 1.265E+08 9.175E+10 1.694E+07 3.842E+05 100.0 5.848E+11 8.966E+12 1.950E+12 5.419E-10 179.1 1027 1.264E+08 9.173E+10 1.693E+07 3.842E+05 100.0 5.847E+11 8.963E+12 1.950E+12 5.418E-10 179.0 1027 1.262E+08 9.170E+10 1.691E+07 3.840E+05 100.0 5.846E+11 8.960E+12 1.949E+12 5.416E-10 178.8 1027 1.261E+08 9.167E+10 1.690E+07 3.839E+05 100.0 5.844E+11 8.955E+12 1.948E+12 5.413E-10 178.7 1027 1.259E+08 9.162E+10 1.688E+07 3.838E+05 100.0 5.842E+11 8.950E+12 1.947E+12 5.410E-10 178.5 1027 1.257E+08 9.157E+10 1.686E+07 3.836E+05 100.0 5.840E+11 8.944E+12 1.946E+12 5.407E-10 178.3 1027 1.255E+08 9.150E+10 1.685E+07 3.834E+05 100.0 5.838E+11 8.937E+12 1.945E+12 5.403E-10 178.2 1027 1.253E+08 9.143E+10 1.683E+07 3.832E+05 100.0 5.836E+11 8.929E+12 1.943E+12 5.398E-10 178.0 1027 1.251E+08 9.135E+10 1.681E+07 3.830E+05 100.0 5.834E+11 8.921E+12 1.942E+12 5.393E-10 177.9 1027 1.249E+08 9.126E+10 1.679E+07 3.827E+05 100.0 5.831E+11 8.911E+12 1.940E+12 5.388E-10 177.7 1027 1.247E+08 9.116E+10 1.677E+07 3.824E+05 100.0 5.829E+11 8.901E+12 1.938E+12 5.382E-10 177.6 1027 1.244E+08 9.106E+10 1.675E+07 3.822E+05 100.0 5.826E+11 8.891E+12 1.937E+12 5.376E-10 177.4 1027 1.242E+08 9.094E+10 1.673E+07 3.819E+05 100.0 5.823E+11 8.879E+12 1.934E+12 5.370E-10 177.3 1027 1.239E+08 9.083E+10 1.671E+07 3.816E+05 100.0 5.820E+11 8.867E+12 1.932E+12 5.363E-10 177.1 1027 1.237E+08 9.070E+10 1.669E+07 3.812E+05 100.0 5.817E+11 8.855E+12 1.930E+12 5.356E-10 177.0 1027 1.234E+08 9.057E+10 1.667E+07 3.809E+05 100.0 5.814E+11 8.842E+12 1.928E+12 5.348E-10 176.8 1027 1.232E+08 9.043E+10 1.665E+07 3.806E+05 100.0 5.810E+11 8.829E+12 1.925E+12 5.341E-10 176.7 1027 1.229E+08 9.029E+10 1.663E+07 3.802E+05 100.0 5.807E+11 8.815E+12 1.923E+12 5.333E-10 176.6 1027 1.226E+08 9.015E+10 1.660E+07 3.799E+05 100.0 5.803E+11 8.800E+12 1.920E+12 5.324E-10 176.4 1027 1.224E+08 9.000E+10 1.658E+07 3.795E+05 100.0 5.799E+11 8.785E+12 1.918E+12 5.316E-10 176.3 1027 1.221E+08 8.984E+10 1.656E+07 3.792E+05 100.0 5.795E+11 8.770E+12 1.915E+12 5.307E-10 176.2 1027 1.218E+08 8.968E+10 1.654E+07 3.788E+05 100.0 5.791E+11 8.755E+12 1.912E+12 5.298E-10 176.1 1027 1.215E+08 8.952E+10 1.652E+07 3.785E+05 100.0 5.787E+11 8.739E+12 1.910E+12 5.290E-10 175.9 1027 1.212E+08 8.936E+10 1.650E+07 3.781E+05 100.0 5.783E+11 8.723E+12 1.907E+12 5.281E-10 175.8 1027 1.210E+08 8.919E+10 1.648E+07 3.777E+05 100.0 5.778E+11 8.707E+12 1.904E+12 5.271E-10 175.7 1027 1.207E+08 8.902E+10 1.646E+07 3.774E+05 100.0 5.773E+11 8.691E+12 1.902E+12 5.262E-10 175.7 1027 1.204E+08 8.885E+10 1.643E+07 3.770E+05 100.0 5.769E+11 8.675E+12 1.899E+12 5.253E-10 175.6 1027 1.201E+08 8.868E+10 1.641E+07 3.766E+05 100.0 5.764E+11 8.659E+12 1.896E+12 5.244E-10 175.5 1027 1.198E+08 8.851E+10 1.639E+07 3.763E+05 100.0 5.759E+11 8.642E+12 1.893E+12 5.234E-10 175.4 1027 1.195E+08 8.834E+10 1.637E+07 3.759E+05 100.0 5.754E+11 8.626E+12 1.890E+12 5.225E-10 175.4 1027 1.192E+08 8.816E+10 1.635E+07 3.756E+05 100.0 5.749E+11 8.609E+12 1.888E+12 5.216E-10 175.3 1027 1.189E+08 8.799E+10 1.633E+07 3.752E+05 100.0 5.743E+11 8.593E+12 1.885E+12 5.206E-10 175.3 1027 1.187E+08 8.782E+10 1.631E+07 3.749E+05 100.0 5.738E+11 8.577E+12 1.882E+12 5.197E-10 175.2 1027 1.184E+08 8.765E+10 1.630E+07 3.745E+05 100.0 5.732E+11 8.561E+12 1.880E+12 5.188E-10 175.2 1027 1.181E+08 8.748E+10 1.628E+07 3.742E+05 100.0 5.727E+11 8.545E+12 1.877E+12 5.179E-10 175.2 1027 1.178E+08 8.731E+10 1.626E+07 3.739E+05 100.0 5.721E+11 8.529E+12 1.875E+12 5.170E-10 175.2 1027 1.176E+08 8.715E+10 1.624E+07 3.735E+05 100.0 5.716E+11 8.514E+12 1.872E+12 5.162E-10 175.2 1027 1.173E+08 8.699E+10 1.622E+07 3.732E+05 100.0 5.710E+11 8.499E+12 1.870E+12 5.153E-10 175.2 1027 1.170E+08 8.683E+10 1.621E+07 3.729E+05 100.0 5.704E+11 8.484E+12 1.868E+12 5.145E-10 175.2 1027 1.168E+08 8.667E+10 1.619E+07 3.726E+05 100.0 5.698E+11 8.470E+12 1.865E+12 5.136E-10 175.2 1027 1.165E+08 8.652E+10 1.618E+07 3.723E+05 100.0 5.692E+11 8.455E+12 1.863E+12 5.128E-10 175.3 1027 1.163E+08 8.636E+10 1.616E+07 3.720E+05 100.0 5.686E+11 8.442E+12 1.861E+12 5.121E-10 175.3 1027 1.160E+08 8.622E+10 1.615E+07 3.718E+05 100.0 5.680E+11 8.428E+12 1.859E+12 5.113E-10 175.4 1027 1.158E+08 8.608E+10 1.614E+07 3.715E+05 100.0 5.674E+11 8.415E+12 1.857E+12 5.106E-10 175.5 1027 1.156E+08 8.594E+10 1.612E+07 3.712E+05 100.0 5.668E+11 8.403E+12 1.856E+12 5.099E-10 175.6 1027 1.154E+08 8.580E+10 1.611E+07 3.710E+05 100.0 5.662E+11 8.390E+12 1.854E+12 5.092E-10 175.7 1027 1.151E+08 8.567E+10 1.610E+07 3.707E+05 100.0 5.656E+11 8.379E+12 1.852E+12 5.085E-10 175.8 1027 1.149E+08 8.555E+10 1.609E+07 3.705E+05 100.0 5.649E+11 8.368E+12 1.851E+12 5.079E-10 175.9 1027 1.147E+08 8.543E+10 1.608E+07 3.703E+05 100.0 5.643E+11 8.357E+12 1.850E+12 5.073E-10 176.0 1027 1.145E+08 8.531E+10 1.607E+07 3.701E+05 100.0 5.637E+11 8.347E+12 1.848E+12 5.068E-10 176.2 1027 1.144E+08 8.520E+10 1.606E+07 3.698E+05 100.0 5.631E+11 8.337E+12 1.847E+12 5.062E-10 176.3 1027 1.142E+08 8.510E+10 1.606E+07 3.696E+05 100.0 5.624E+11 8.328E+12 1.846E+12 5.057E-10 176.5 1027 1.140E+08 8.500E+10 1.605E+07 3.695E+05 100.0 5.618E+11 8.320E+12 1.845E+12 5.053E-10 176.7 1027 1.139E+08 8.491E+10 1.605E+07 3.693E+05 100.0 5.612E+11 8.312E+12 1.844E+12 5.048E-10 176.9 1027 1.137E+08 8.482E+10 1.604E+07 3.691E+05 100.0 5.606E+11 8.304E+12 1.844E+12 5.044E-10 177.0 1027 1.136E+08 8.474E+10 1.604E+07 3.689E+05 100.0 5.600E+11 8.298E+12 1.843E+12 5.041E-10 177.3 1027 1.134E+08 8.466E+10 1.604E+07 3.688E+05 100.0 5.593E+11 8.291E+12 1.843E+12 5.037E-10 177.5 1027 1.133E+08 8.460E+10 1.603E+07 3.686E+05 100.0 5.587E+11 8.286E+12 1.842E+12 5.034E-10 177.7 1027 1.132E+08 8.453E+10 1.603E+07 3.684E+05 100.0 5.581E+11 8.281E+12 1.842E+12 5.032E-10 177.9 1027 1.131E+08 8.447E+10 1.603E+07 3.683E+05 100.0 5.575E+11 8.276E+12 1.842E+12 5.029E-10 178.2 1027 1.130E+08 8.442E+10 1.603E+07 3.682E+05 100.0 5.569E+11 8.272E+12 1.842E+12 5.027E-10 178.4 1027 1.129E+08 8.438E+10 1.604E+07 3.680E+05 100.0 5.563E+11 8.269E+12 1.842E+12 5.026E-10 178.7 1027 1.128E+08 8.434E+10 1.604E+07 3.679E+05 100.0 5.557E+11 8.267E+12 1.842E+12 5.024E-10 179.0 1027 1.127E+08 8.431E+10 1.604E+07 3.678E+05 100.0 5.551E+11 8.265E+12 1.842E+12 5.023E-10 179.2 1027 1.127E+08 8.428E+10 1.605E+07 3.676E+05 100.0 5.545E+11 8.263E+12 1.843E+12 5.023E-10 179.5 1027 1.126E+08 8.426E+10 1.606E+07 3.675E+05 100.0 5.540E+11 8.262E+12 1.843E+12 5.023E-10 179.8 1027 1.126E+08 8.424E+10 1.606E+07 3.674E+05 100.0 5.534E+11 8.262E+12 1.844E+12 5.023E-10 180.1 1027 1.125E+08 8.424E+10 1.607E+07 3.673E+05 100.0 5.528E+11 8.262E+12 1.845E+12 5.023E-10 180.4 1027 1.125E+08 8.423E+10 1.608E+07 3.671E+05 100.0 5.522E+11 8.263E+12 1.846E+12 5.024E-10 180.7 1027 1.125E+08 8.424E+10 1.609E+07 3.670E+05 100.0 5.517E+11 8.265E+12 1.847E+12 5.025E-10 181.1 1027 1.125E+08 8.425E+10 1.610E+07 3.669E+05 100.0 5.511E+11 8.267E+12 1.848E+12 5.026E-10 181.4 1027 1.125E+08 8.426E+10 1.611E+07 3.668E+05 100.0 5.506E+11 8.269E+12 1.849E+12 5.028E-10 181.7 1027 1.125E+08 8.428E+10 1.613E+07 3.667E+05 100.0 5.501E+11 8.273E+12 1.850E+12 5.030E-10 182.0 1027 1.125E+08 8.431E+10 1.614E+07 3.666E+05 100.0 5.496E+11 8.276E+12 1.852E+12 5.032E-10 182.4 1027 1.126E+08 8.434E+10 1.616E+07 3.664E+05 100.0 5.491E+11 8.281E+12 1.853E+12 5.035E-10 182.7 1027 1.126E+08 8.438E+10 1.617E+07 3.663E+05 100.0 5.486E+11 8.285E+12 1.855E+12 5.038E-10 183.0 1027 1.127E+08 8.443E+10 1.619E+07 3.662E+05 100.0 5.481E+11 8.291E+12 1.856E+12 5.041E-10 183.4 1027 1.127E+08 8.448E+10 1.621E+07 3.660E+05 100.0 5.476E+11 8.296E+12 1.858E+12 5.045E-10 183.7 1027 1.128E+08 8.453E+10 1.623E+07 3.659E+05 100.0 5.471E+11 8.303E+12 1.860E+12 5.049E-10 184.1 1027 1.129E+08 8.459E+10 1.625E+07 3.658E+05 100.0 5.467E+11 8.310E+12 1.862E+12 5.053E-10 184.4 1027 1.129E+08 8.466E+10 1.627E+07 3.656E+05 100.0 5.462E+11 8.317E+12 1.864E+12 5.057E-10 184.8 1027 1.130E+08 8.473E+10 1.630E+07 3.654E+05 100.0 5.458E+11 8.325E+12 1.866E+12 5.062E-10 185.1 1027 1.131E+08 8.480E+10 1.632E+07 3.653E+05 100.0 5.454E+11 8.333E+12 1.868E+12 5.067E-10 185.4 1027 1.132E+08 8.488E+10 1.635E+07 3.651E+05 100.0 5.450E+11 8.342E+12 1.870E+12 5.072E-10 185.8 1027 1.134E+08 8.497E+10 1.637E+07 3.649E+05 100.0 5.446E+11 8.351E+12 1.872E+12 5.077E-10 186.1 1027 1.135E+08 8.506E+10 1.640E+07 3.647E+05 100.0 5.442E+11 8.360E+12 1.874E+12 5.083E-10 186.4 1027 1.136E+08 8.515E+10 1.643E+07 3.645E+05 100.0 5.438E+11 8.370E+12 1.877E+12 5.089E-10 186.7 1027 1.138E+08 8.525E+10 1.646E+07 3.643E+05 100.0 5.435E+11 8.381E+12 1.879E+12 5.095E-10 187.1 1027 1.139E+08 8.536E+10 1.649E+07 3.641E+05 100.0 5.432E+11 8.392E+12 1.882E+12 5.101E-10 187.4 1027 1.141E+08 8.546E+10 1.652E+07 3.638E+05 100.0 5.429E+11 8.403E+12 1.884E+12 5.108E-10 187.7 1027 1.143E+08 8.558E+10 1.656E+07 3.636E+05 100.0 5.426E+11 8.415E+12 1.887E+12 5.114E-10 188.0 1027 1.144E+08 8.569E+10 1.659E+07 3.633E+05 100.0 5.423E+11 8.426E+12 1.889E+12 5.121E-10 188.3 1027 1.146E+08 8.581E+10 1.663E+07 3.630E+05 100.0 5.420E+11 8.439E+12 1.892E+12 5.128E-10 188.5 1027 1.148E+08 8.594E+10 1.667E+07 3.627E+05 100.0 5.418E+11 8.451E+12 1.895E+12 5.136E-10 188.8 1027 1.150E+08 8.607E+10 1.671E+07 3.624E+05 100.0 5.416E+11 8.464E+12 1.898E+12 5.143E-10 189.1 1027 1.152E+08 8.620E+10 1.675E+07 3.621E+05 100.0 5.414E+11 8.478E+12 1.900E+12 5.151E-10 189.3 1027 1.154E+08 8.634E+10 1.679E+07 3.618E+05 100.0 5.412E+11 8.491E+12 1.903E+12 5.159E-10 189.5 1027 1.156E+08 8.647E+10 1.683E+07 3.614E+05 100.0 5.411E+11 8.505E+12 1.906E+12 5.167E-10 189.8 1027 1.159E+08 8.662E+10 1.687E+07 3.610E+05 100.0 5.409E+11 8.519E+12 1.909E+12 5.175E-10 190.0 1027 1.161E+08 8.676E+10 1.692E+07 3.606E+05 100.0 5.408E+11 8.534E+12 1.912E+12 5.184E-10 190.2 1027 1.163E+08 8.691E+10 1.696E+07 3.602E+05 100.0 5.407E+11 8.549E+12 1.915E+12 5.192E-10 190.3 1027 1.166E+08 8.706E+10 1.701E+07 3.598E+05 100.0 5.407E+11 8.564E+12 1.918E+12 5.201E-10 190.5 1027 1.168E+08 8.722E+10 1.706E+07 3.593E+05 100.0 5.406E+11 8.579E+12 1.921E+12 5.210E-10 190.7 1027 1.171E+08 8.738E+10 1.711E+07 3.588E+05 100.0 5.406E+11 8.594E+12 1.924E+12 5.218E-10 190.8 1027 1.174E+08 8.754E+10 1.716E+07 3.583E+05 100.0 5.406E+11 8.610E+12 1.927E+12 5.227E-10 190.9 1027 1.176E+08 8.770E+10 1.721E+07 3.578E+05 100.0 5.406E+11 8.626E+12 1.930E+12 5.237E-10 191.1 1027 1.179E+08 8.786E+10 1.726E+07 3.572E+05 100.0 5.407E+11 8.642E+12 1.933E+12 5.246E-10 191.2 1027 1.182E+08 8.803E+10 1.732E+07 3.566E+05 100.0 5.407E+11 8.658E+12 1.936E+12 5.255E-10 191.2 1027 1.185E+08 8.820E+10 1.737E+07 3.560E+05 100.0 5.408E+11 8.674E+12 1.940E+12 5.264E-10 191.3 1027 1.188E+08 8.837E+10 1.743E+07 3.554E+05 100.0 5.409E+11 8.691E+12 1.943E+12 5.274E-10 191.3 1027 1.191E+08 8.855E+10 1.749E+07 3.548E+05 100.0 5.411E+11 8.707E+12 1.946E+12 5.283E-10 191.4 1027 1.194E+08 8.872E+10 1.755E+07 3.541E+05 100.0 5.413E+11 8.724E+12 1.949E+12 5.293E-10 191.4 1027 1.197E+08 8.890E+10 1.760E+07 3.534E+05 100.0 5.414E+11 8.741E+12 1.952E+12 5.303E-10 191.4 1027 1.200E+08 8.908E+10 1.767E+07 3.526E+05 100.0 5.417E+11 8.758E+12 1.955E+12 5.312E-10 191.4 1027 1.203E+08 8.926E+10 1.773E+07 3.519E+05 100.0 5.419E+11 8.775E+12 1.958E+12 5.322E-10 191.3 1027 1.206E+08 8.944E+10 1.779E+07 3.511E+05 100.0 5.422E+11 8.792E+12 1.961E+12 5.332E-10 191.3 1027 1.210E+08 8.962E+10 1.785E+07 3.502E+05 100.0 5.425E+11 8.809E+12 1.964E+12 5.342E-10 191.2 1027 1.213E+08 8.980E+10 1.792E+07 3.494E+05 100.0 5.428E+11 8.826E+12 1.967E+12 5.351E-10 191.1 1027 1.216E+08 8.999E+10 1.798E+07 3.485E+05 100.0 5.431E+11 8.843E+12 1.970E+12 5.361E-10 191.1 1027 1.220E+08 9.017E+10 1.805E+07 3.476E+05 100.0 5.435E+11 8.860E+12 1.973E+12 5.371E-10 190.9 1027 1.223E+08 9.035E+10 1.812E+07 3.466E+05 100.0 5.439E+11 8.878E+12 1.976E+12 5.381E-10 190.8 1027 1.226E+08 9.054E+10 1.819E+07 3.456E+05 100.0 5.443E+11 8.895E+12 1.979E+12 5.390E-10 190.7 1027 1.230E+08 9.072E+10 1.826E+07 3.446E+05 100.0 5.447E+11 8.912E+12 1.982E+12 5.400E-10 190.5 1027 1.233E+08 9.090E+10 1.832E+07 3.436E+05 100.0 5.451E+11 8.928E+12 1.985E+12 5.410E-10 190.4 1027 1.237E+08 9.109E+10 1.840E+07 3.425E+05 100.0 5.456E+11 8.945E+12 1.988E+12 5.419E-10 190.2 1027 1.240E+08 9.127E+10 1.847E+07 3.413E+05 100.0 5.461E+11 8.962E+12 1.991E+12 5.429E-10 190.0 1027 1.244E+08 9.145E+10 1.854E+07 3.402E+05 100.0 5.466E+11 8.979E+12 1.994E+12 5.438E-10 189.8 1027 1.247E+08 9.163E+10 1.861E+07 3.390E+05 100.0 5.472E+11 8.995E+12 1.996E+12 5.448E-10 189.5 1027 1.251E+08 9.181E+10 1.868E+07 3.378E+05 100.0 5.477E+11 9.011E+12 1.999E+12 5.457E-10 189.3 1027 1.254E+08 9.199E+10 1.876E+07 3.365E+05 100.0 5.483E+11 9.028E+12 2.002E+12 5.466E-10 189.1 1027 1.258E+08 9.217E+10 1.883E+07 3.352E+05 100.0 5.489E+11 9.043E+12 2.004E+12 5.475E-10 188.8 1027 1.262E+08 9.234E+10 1.890E+07 3.338E+05 100.0 5.495E+11 9.059E+12 2.007E+12 5.484E-10 188.6 1027 1.265E+08 9.251E+10 1.898E+07 3.325E+05 100.0 5.501E+11 9.075E+12 2.009E+12 5.493E-10 188.3 1027 1.269E+08 9.268E+10 1.905E+07 3.311E+05 100.0 5.508E+11 9.090E+12 2.012E+12 5.502E-10 188.0 1027 1.272E+08 9.285E+10 1.912E+07 3.296E+05 100.0 5.515E+11 9.105E+12 2.014E+12 5.510E-10 187.7 1027 1.276E+08 9.302E+10 1.920E+07 3.281E+05 100.0 5.521E+11 9.120E+12 2.016E+12 5.518E-10 187.4 1027 1.279E+08 9.318E+10 1.927E+07 3.266E+05 100.0 5.528E+11 9.134E+12 2.019E+12 5.527E-10 187.1 1027 1.283E+08 9.334E+10 1.935E+07 3.251E+05 100.0 5.536E+11 9.148E+12 2.021E+12 5.535E-10 186.8 1027 1.286E+08 9.349E+10 1.942E+07 3.235E+05 100.0 5.543E+11 9.162E+12 2.023E+12 5.542E-10 186.5 1027 1.290E+08 9.365E+10 1.949E+07 3.219E+05 100.0 5.550E+11 9.176E+12 2.025E+12 5.550E-10 186.2 1027 1.293E+08 9.380E+10 1.957E+07 3.202E+05 100.0 5.558E+11 9.189E+12 2.027E+12 5.557E-10 185.9 1027 1.297E+08 9.394E+10 1.964E+07 3.185E+05 100.0 5.566E+11 9.202E+12 2.028E+12 5.565E-10 185.6 1027 1.300E+08 9.408E+10 1.971E+07 3.168E+05 100.0 5.574E+11 9.214E+12 2.030E+12 5.572E-10 185.2 1027 1.303E+08 9.422E+10 1.979E+07 3.151E+05 100.0 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8.066E+18 2.164E+18 4.962E-04 224.8 1027 5.413E+13 9.648E+16 0.000E+00 0.000E+00 8.7 0.000E+00 7.962E+18 2.136E+18 4.899E-04 224.3 1027 5.343E+13 9.524E+16 0.000E+00 0.000E+00 8.8 0.000E+00 7.860E+18 2.108E+18 4.836E-04 223.8 1027 5.274E+13 9.401E+16 0.000E+00 0.000E+00 8.9 0.000E+00 7.758E+18 2.081E+18 4.773E-04 223.3 1027 5.206E+13 9.279E+16 0.000E+00 0.000E+00 9.0 0.000E+00 7.656E+18 2.054E+18 4.711E-04 222.9 1027 5.138E+13 9.158E+16 0.000E+00 0.000E+00 9.1 0.000E+00 7.556E+18 2.027E+18 4.649E-04 222.4 1027 5.070E+13 9.038E+16 0.000E+00 0.000E+00 9.2 0.000E+00 7.456E+18 2.000E+18 4.587E-04 221.9 1027 5.003E+13 8.918E+16 0.000E+00 0.000E+00 9.3 0.000E+00 7.357E+18 1.974E+18 4.526E-04 221.5 1027 4.937E+13 8.800E+16 0.000E+00 0.000E+00 9.4 0.000E+00 7.258E+18 1.947E+18 4.466E-04 221.1 1027 4.871E+13 8.682E+16 0.000E+00 0.000E+00 9.5 0.000E+00 7.161E+18 1.921E+18 4.406E-04 220.7 1027 4.805E+13 8.565E+16 0.000E+00 0.000E+00 9.6 0.000E+00 7.064E+18 1.895E+18 4.346E-04 220.3 1027 4.740E+13 8.449E+16 0.000E+00 0.000E+00 9.7 0.000E+00 6.968E+18 1.869E+18 4.287E-04 219.9 1027 4.676E+13 8.334E+16 0.000E+00 0.000E+00 9.8 0.000E+00 6.872E+18 1.844E+18 4.228E-04 219.5 1027 4.612E+13 8.220E+16 0.000E+00 0.000E+00 9.9 0.000E+00 6.777E+18 1.818E+18 4.170E-04 219.2 1027 4.548E+13 8.107E+16 0.000E+00 0.000E+00 10.0 0.000E+00 6.683E+18 1.793E+18 4.112E-04 218.8 1027 4.485E+13 7.994E+16 0.000E+00 0.000E+00 10.1 0.000E+00 6.590E+18 1.768E+18 4.054E-04 218.5 1027 4.422E+13 7.883E+16 0.000E+00 0.000E+00 10.2 0.000E+00 6.498E+18 1.743E+18 3.998E-04 218.2 1027 4.360E+13 7.772E+16 0.000E+00 0.000E+00 10.3 0.000E+00 6.406E+18 1.718E+18 3.941E-04 217.9 1027 4.299E+13 7.662E+16 0.000E+00 0.000E+00 10.4 0.000E+00 6.315E+18 1.694E+18 3.885E-04 217.6 1027 4.238E+13 7.554E+16 0.000E+00 0.000E+00 10.5 0.000E+00 6.225E+18 1.670E+18 3.830E-04 217.3 1027 4.177E+13 7.446E+16 0.000E+00 0.000E+00 10.6 0.000E+00 6.136E+18 1.646E+18 3.775E-04 217.0 1027 4.117E+13 7.339E+16 0.000E+00 0.000E+00 10.7 0.000E+00 6.047E+18 1.622E+18 3.721E-04 216.8 1027 4.058E+13 7.233E+16 0.000E+00 0.000E+00 10.8 0.000E+00 5.960E+18 1.599E+18 3.667E-04 216.5 1027 3.999E+13 7.129E+16 0.000E+00 0.000E+00 10.9 0.000E+00 5.873E+18 1.576E+18 3.613E-04 216.3 1027 3.941E+13 7.025E+16 0.000E+00 0.000E+00 11.0 0.000E+00 5.787E+18 1.553E+18 3.561E-04 216.1 1027 3.884E+13 6.922E+16 0.000E+00 0.000E+00 11.1 0.000E+00 5.702E+18 1.530E+18 3.508E-04 215.8 1027 3.827E+13 6.821E+16 0.000E+00 0.000E+00 11.2 0.000E+00 5.619E+18 1.507E+18 3.457E-04 215.6 1027 3.770E+13 6.721E+16 0.000E+00 0.000E+00 11.3 0.000E+00 5.535E+18 1.485E+18 3.406E-04 215.5 1027 3.715E+13 6.621E+16 0.000E+00 0.000E+00 11.4 0.000E+00 5.453E+18 1.463E+18 3.355E-04 215.3 1027 3.660E+13 6.523E+16 0.000E+00 0.000E+00 11.5 0.000E+00 5.372E+18 1.441E+18 3.305E-04 215.1 1027 3.605E+13 6.426E+16 0.000E+00 0.000E+00 11.6 0.000E+00 5.292E+18 1.420E+18 3.256E-04 214.9 1027 3.551E+13 6.330E+16 0.000E+00 0.000E+00 11.7 0.000E+00 5.213E+18 1.398E+18 3.207E-04 214.8 1027 3.498E+13 6.235E+16 0.000E+00 0.000E+00 11.8 0.000E+00 5.134E+18 1.377E+18 3.159E-04 214.6 1027 3.445E+13 6.141E+16 0.000E+00 0.000E+00 11.9 0.000E+00 5.057E+18 1.357E+18 3.111E-04 214.5 1027 3.394E+13 6.049E+16 0.000E+00 0.000E+00 12.0 0.000E+00 4.980E+18 1.336E+18 3.064E-04 214.3 1027 3.342E+13 5.957E+16 0.000E+00 0.000E+00 12.1 0.000E+00 4.905E+18 1.316E+18 3.018E-04 214.2 1027 3.292E+13 5.867E+16 0.000E+00 0.000E+00 12.2 0.000E+00 4.830E+18 1.296E+18 2.972E-04 214.1 1027 3.241E+13 5.778E+16 0.000E+00 0.000E+00 12.3 0.000E+00 4.757E+18 1.276E+18 2.927E-04 214.0 1027 3.192E+13 5.690E+16 0.000E+00 0.000E+00 12.4 0.000E+00 4.684E+18 1.257E+18 2.882E-04 213.9 1027 3.143E+13 5.603E+16 0.000E+00 0.000E+00 12.5 0.000E+00 4.612E+18 1.237E+18 2.838E-04 213.8 1027 3.095E+13 5.517E+16 0.000E+00 0.000E+00 12.6 0.000E+00 4.541E+18 1.218E+18 2.794E-04 213.7 1027 3.048E+13 5.432E+16 0.000E+00 0.000E+00 12.7 0.000E+00 4.472E+18 1.200E+18 2.751E-04 213.6 1027 3.001E+13 5.349E+16 0.000E+00 0.000E+00 12.8 0.000E+00 4.403E+18 1.181E+18 2.709E-04 213.5 1027 2.955E+13 5.266E+16 0.000E+00 0.000E+00 12.9 0.000E+00 4.335E+18 1.163E+18 2.667E-04 213.4 1027 2.909E+13 5.185E+16 0.000E+00 0.000E+00 13.0 0.000E+00 4.268E+18 1.145E+18 2.626E-04 213.3 1027 2.864E+13 5.105E+16 0.000E+00 0.000E+00 13.1 0.000E+00 4.202E+18 1.127E+18 2.585E-04 213.3 1027 2.820E+13 5.026E+16 0.000E+00 0.000E+00 13.2 0.000E+00 4.136E+18 1.110E+18 2.545E-04 213.2 1027 2.776E+13 4.948E+16 0.000E+00 0.000E+00 13.3 0.000E+00 4.072E+18 1.092E+18 2.505E-04 213.1 1027 2.733E+13 4.871E+16 0.000E+00 0.000E+00 13.4 0.000E+00 4.009E+18 1.075E+18 2.466E-04 213.1 1027 2.690E+13 4.795E+16 0.000E+00 0.000E+00 13.5 0.000E+00 3.946E+18 1.059E+18 2.428E-04 213.0 1027 2.648E+13 4.720E+16 0.000E+00 0.000E+00 13.6 0.000E+00 3.885E+18 1.042E+18 2.390E-04 213.0 1027 2.607E+13 4.647E+16 0.000E+00 0.000E+00 13.7 0.000E+00 3.824E+18 1.026E+18 2.353E-04 212.9 1027 2.566E+13 4.574E+16 0.000E+00 0.000E+00 13.8 0.000E+00 3.764E+18 1.010E+18 2.316E-04 212.9 1027 2.526E+13 4.503E+16 0.000E+00 0.000E+00 13.9 0.000E+00 3.706E+18 9.941E+17 2.280E-04 212.8 1027 2.487E+13 4.432E+16 0.000E+00 0.000E+00 14.0 0.000E+00 3.648E+18 9.785E+17 2.244E-04 212.8 1027 2.448E+13 4.363E+16 0.000E+00 0.000E+00 14.1 0.000E+00 3.590E+18 9.632E+17 2.209E-04 212.8 1027 2.409E+13 4.295E+16 0.000E+00 0.000E+00 14.2 0.000E+00 3.534E+18 9.481E+17 2.174E-04 212.7 1027 2.372E+13 4.227E+16 0.000E+00 0.000E+00 14.3 0.000E+00 3.479E+18 9.333E+17 2.140E-04 212.7 1027 2.335E+13 4.161E+16 0.000E+00 0.000E+00 14.4 0.000E+00 3.424E+18 9.186E+17 2.107E-04 212.6 1027 2.298E+13 4.096E+16 0.000E+00 0.000E+00 14.5 0.000E+00 3.370E+18 9.042E+17 2.074E-04 212.6 1027 2.262E+13 4.032E+16 0.000E+00 0.000E+00 14.6 0.000E+00 3.318E+18 8.900E+17 2.041E-04 212.6 1027 2.226E+13 3.968E+16 0.000E+00 0.000E+00 14.7 0.000E+00 3.265E+18 8.760E+17 2.009E-04 212.5 1027 2.191E+13 3.906E+16 0.000E+00 0.000E+00 14.8 0.000E+00 3.214E+18 8.623E+17 1.978E-04 212.5 1027 2.157E+13 3.845E+16 0.000E+00 0.000E+00 14.9 0.000E+00 3.164E+18 8.487E+17 1.946E-04 212.5 1027 2.123E+13 3.784E+16 0.000E+00 0.000E+00 15.0 0.000E+00 3.114E+18 8.354E+17 1.916E-04 212.4 1027 2.090E+13 3.725E+16 0.000E+00 0.000E+00 15.1 0.000E+00 3.065E+18 8.223E+17 1.886E-04 212.4 1027 2.057E+13 3.666E+16 0.000E+00 0.000E+00 15.2 0.000E+00 3.017E+18 8.094E+17 1.856E-04 212.4 1027 2.025E+13 3.609E+16 0.000E+00 0.000E+00 15.3 0.000E+00 2.970E+18 7.967E+17 1.827E-04 212.3 1027 1.993E+13 3.552E+16 0.000E+00 0.000E+00 15.4 0.000E+00 2.923E+18 7.842E+17 1.798E-04 212.3 1027 1.962E+13 3.496E+16 0.000E+00 0.000E+00 15.5 0.000E+00 2.877E+18 7.719E+17 1.770E-04 212.2 1027 1.931E+13 3.441E+16 0.000E+00 0.000E+00 15.6 0.000E+00 2.832E+18 7.597E+17 1.742E-04 212.2 1027 1.900E+13 3.387E+16 0.000E+00 0.000E+00 15.7 0.000E+00 2.788E+18 7.478E+17 1.715E-04 212.2 1027 1.871E+13 3.334E+16 0.000E+00 0.000E+00 15.8 0.000E+00 2.744E+18 7.361E+17 1.688E-04 212.1 1027 1.841E+13 3.282E+16 0.000E+00 0.000E+00 15.9 0.000E+00 2.701E+18 7.245E+17 1.662E-04 212.1 1027 1.812E+13 3.230E+16 0.000E+00 0.000E+00 16.0 0.000E+00 2.658E+18 7.131E+17 1.635E-04 212.0 1027 1.784E+13 3.180E+16 0.000E+00 0.000E+00 16.1 0.000E+00 2.616E+18 7.019E+17 1.610E-04 212.0 1027 1.756E+13 3.130E+16 0.000E+00 0.000E+00 16.2 0.000E+00 2.575E+18 6.909E+17 1.584E-04 212.0 1027 1.728E+13 3.081E+16 0.000E+00 0.000E+00 16.3 0.000E+00 2.535E+18 6.800E+17 1.560E-04 211.9 1027 1.701E+13 3.032E+16 0.000E+00 0.000E+00 16.4 0.000E+00 2.495E+18 6.693E+17 1.535E-04 211.9 1027 1.674E+13 2.984E+16 0.000E+00 0.000E+00 16.5 0.000E+00 2.456E+18 6.588E+17 1.511E-04 211.8 1027 1.648E+13 2.938E+16 0.000E+00 0.000E+00 16.6 0.000E+00 2.417E+18 6.485E+17 1.487E-04 211.8 1027 1.622E+13 2.891E+16 0.000E+00 0.000E+00 16.7 0.000E+00 2.379E+18 6.383E+17 1.464E-04 211.8 1027 1.597E+13 2.846E+16 0.000E+00 0.000E+00 16.8 0.000E+00 2.342E+18 6.282E+17 1.441E-04 211.7 1027 1.571E+13 2.801E+16 0.000E+00 0.000E+00 16.9 0.000E+00 2.305E+18 6.183E+17 1.418E-04 211.7 1027 1.547E+13 2.757E+16 0.000E+00 0.000E+00 17.0 0.000E+00 2.269E+18 6.086E+17 1.396E-04 211.6 1027 1.522E+13 2.714E+16 0.000E+00 0.000E+00 17.1 0.000E+00 2.233E+18 5.990E+17 1.374E-04 211.6 1027 1.498E+13 2.671E+16 0.000E+00 0.000E+00 17.2 0.000E+00 2.198E+18 5.896E+17 1.352E-04 211.6 1027 1.475E+13 2.629E+16 0.000E+00 0.000E+00 17.3 0.000E+00 2.163E+18 5.803E+17 1.331E-04 211.5 1027 1.452E+13 2.587E+16 0.000E+00 0.000E+00 17.4 0.000E+00 2.129E+18 5.711E+17 1.310E-04 211.5 1027 1.429E+13 2.547E+16 0.000E+00 0.000E+00 17.5 0.000E+00 2.095E+18 5.621E+17 1.289E-04 211.5 1027 1.406E+13 2.506E+16 0.000E+00 0.000E+00 17.6 0.000E+00 2.062E+18 5.533E+17 1.269E-04 211.4 1027 1.384E+13 2.467E+16 0.000E+00 0.000E+00 17.7 0.000E+00 2.030E+18 5.445E+17 1.249E-04 211.4 1027 1.362E+13 2.428E+16 0.000E+00 0.000E+00 17.8 0.000E+00 1.998E+18 5.359E+17 1.229E-04 211.4 1027 1.341E+13 2.390E+16 0.000E+00 0.000E+00 17.9 0.000E+00 1.966E+18 5.275E+17 1.210E-04 211.3 1027 1.319E+13 2.352E+16 0.000E+00 0.000E+00 18.0 0.000E+00 1.935E+18 5.191E+17 1.191E-04 211.3 1027 1.299E+13 2.315E+16 0.000E+00 0.000E+00 18.1 0.000E+00 1.904E+18 5.109E+17 1.172E-04 211.3 1027 1.278E+13 2.278E+16 0.000E+00 0.000E+00 18.2 0.000E+00 1.874E+18 5.028E+17 1.153E-04 211.3 1027 1.258E+13 2.242E+16 0.000E+00 0.000E+00 18.3 0.000E+00 1.845E+18 4.949E+17 1.135E-04 211.2 1027 1.238E+13 2.207E+16 0.000E+00 0.000E+00 18.4 0.000E+00 1.815E+18 4.870E+17 1.117E-04 211.2 1027 1.218E+13 2.172E+16 0.000E+00 0.000E+00 18.5 0.000E+00 1.787E+18 4.793E+17 1.099E-04 211.2 1027 1.199E+13 2.137E+16 0.000E+00 0.000E+00 18.6 0.000E+00 1.758E+18 4.717E+17 1.082E-04 211.2 1027 1.180E+13 2.103E+16 0.000E+00 0.000E+00 18.7 0.000E+00 1.730E+18 4.642E+17 1.065E-04 211.1 1027 1.161E+13 2.070E+16 0.000E+00 0.000E+00 18.8 0.000E+00 1.703E+18 4.569E+17 1.048E-04 211.1 1027 1.143E+13 2.037E+16 0.000E+00 0.000E+00 18.9 0.000E+00 1.676E+18 4.496E+17 1.031E-04 211.1 1027 1.125E+13 2.005E+16 0.000E+00 0.000E+00 19.0 0.000E+00 1.649E+18 4.425E+17 1.015E-04 211.1 1027 1.107E+13 1.973E+16 0.000E+00 0.000E+00 19.1 0.000E+00 1.623E+18 4.354E+17 9.986E-05 211.1 1027 1.089E+13 1.941E+16 0.000E+00 0.000E+00 19.2 0.000E+00 1.597E+18 4.285E+17 9.827E-05 211.1 1027 1.072E+13 1.911E+16 0.000E+00 0.000E+00 19.3 0.000E+00 1.572E+18 4.217E+17 9.671E-05 211.1 1027 1.055E+13 1.880E+16 0.000E+00 0.000E+00 19.4 0.000E+00 1.547E+18 4.150E+17 9.517E-05 211.1 1027 1.038E+13 1.850E+16 0.000E+00 0.000E+00 19.5 0.000E+00 1.522E+18 4.084E+17 9.365E-05 211.1 1027 1.021E+13 1.821E+16 0.000E+00 0.000E+00 19.6 0.000E+00 1.498E+18 4.018E+17 9.216E-05 211.1 1027 1.005E+13 1.792E+16 0.000E+00 0.000E+00 19.7 0.000E+00 1.474E+18 3.954E+17 9.069E-05 211.1 1027 9.892E+12 1.763E+16 0.000E+00 0.000E+00 19.8 0.000E+00 1.450E+18 3.891E+17 8.924E-05 211.1 1027 9.734E+12 1.735E+16 0.000E+00 0.000E+00 19.9 0.000E+00 1.427E+18 3.829E+17 8.781E-05 211.1 1027 9.578E+12 1.707E+16 0.000E+00 0.000E+00 20.0 0.000E+00 1.404E+18 3.768E+17 8.641E-05 211.1 1027 9.425E+12 1.680E+16 0.000E+00 0.000E+00 20.1 0.000E+00 1.382E+18 3.707E+17 8.502E-05 211.1 1027 9.274E+12 1.653E+16 0.000E+00 0.000E+00 20.2 0.000E+00 1.360E+18 3.648E+17 8.366E-05 211.1 1027 9.125E+12 1.627E+16 0.000E+00 0.000E+00 20.3 0.000E+00 1.338E+18 3.590E+17 8.232E-05 211.1 1027 8.979E+12 1.600E+16 0.000E+00 0.000E+00 20.4 0.000E+00 1.317E+18 3.532E+17 8.100E-05 211.2 1027 8.835E+12 1.575E+16 0.000E+00 0.000E+00 20.5 0.000E+00 1.295E+18 3.475E+17 7.970E-05 211.2 1027 8.693E+12 1.550E+16 0.000E+00 0.000E+00 20.6 0.000E+00 1.275E+18 3.420E+17 7.842E-05 211.2 1027 8.554E+12 1.525E+16 0.000E+00 0.000E+00 20.7 0.000E+00 1.254E+18 3.365E+17 7.716E-05 211.2 1027 8.416E+12 1.500E+16 0.000E+00 0.000E+00 20.8 0.000E+00 1.234E+18 3.311E+17 7.592E-05 211.3 1027 8.281E+12 1.476E+16 0.000E+00 0.000E+00 20.9 0.000E+00 1.214E+18 3.257E+17 7.470E-05 211.3 1027 8.148E+12 1.452E+16 0.000E+00 0.000E+00 21.0 0.000E+00 1.195E+18 3.205E+17 7.350E-05 211.3 1027 8.017E+12 1.429E+16 0.000E+00 0.000E+00 21.1 0.000E+00 1.175E+18 3.153E+17 7.232E-05 211.4 1027 7.888E+12 1.406E+16 0.000E+00 0.000E+00 21.2 0.000E+00 1.156E+18 3.102E+17 7.115E-05 211.4 1027 7.761E+12 1.383E+16 0.000E+00 0.000E+00 21.3 0.000E+00 1.138E+18 3.052E+17 7.001E-05 211.5 1027 7.636E+12 1.361E+16 0.000E+00 0.000E+00 21.4 0.000E+00 1.119E+18 3.003E+17 6.888E-05 211.5 1027 7.513E+12 1.339E+16 0.000E+00 0.000E+00 21.5 0.000E+00 1.101E+18 2.955E+17 6.777E-05 211.6 1027 7.391E+12 1.317E+16 0.000E+00 0.000E+00 21.6 0.000E+00 1.084E+18 2.907E+17 6.667E-05 211.6 1027 7.272E+12 1.296E+16 0.000E+00 0.000E+00 21.7 0.000E+00 1.066E+18 2.860E+17 6.560E-05 211.7 1027 7.155E+12 1.275E+16 0.000E+00 0.000E+00 21.8 0.000E+00 1.049E+18 2.814E+17 6.454E-05 211.7 1027 7.039E+12 1.255E+16 0.000E+00 0.000E+00 21.9 0.000E+00 1.032E+18 2.769E+17 6.349E-05 211.8 1027 6.925E+12 1.234E+16 0.000E+00 0.000E+00 22.0 0.000E+00 1.015E+18 2.724E+17 6.247E-05 211.8 1027 6.814E+12 1.214E+16 0.000E+00 0.000E+00 22.1 0.000E+00 9.989E+17 2.680E+17 6.146E-05 211.9 1027 6.703E+12 1.195E+16 0.000E+00 0.000E+00 22.2 0.000E+00 9.827E+17 2.636E+17 6.046E-05 212.0 1027 6.595E+12 1.176E+16 0.000E+00 0.000E+00 22.3 0.000E+00 9.668E+17 2.594E+17 5.949E-05 212.0 1027 6.488E+12 1.156E+16 0.000E+00 0.000E+00 22.4 0.000E+00 9.512E+17 2.552E+17 5.852E-05 212.1 1027 6.383E+12 1.138E+16 0.000E+00 0.000E+00 22.5 0.000E+00 9.358E+17 2.510E+17 5.757E-05 212.2 1027 6.280E+12 1.119E+16 0.000E+00 0.000E+00 22.6 0.000E+00 9.206E+17 2.470E+17 5.664E-05 212.2 1027 6.178E+12 1.101E+16 0.000E+00 0.000E+00 22.7 0.000E+00 9.057E+17 2.430E+17 5.572E-05 212.3 1027 6.078E+12 1.083E+16 0.000E+00 0.000E+00 22.8 0.000E+00 8.910E+17 2.390E+17 5.482E-05 212.4 1027 5.980E+12 1.066E+16 0.000E+00 0.000E+00 22.9 0.000E+00 8.766E+17 2.352E+17 5.393E-05 212.5 1027 5.883E+12 1.049E+16 0.000E+00 0.000E+00 23.0 0.000E+00 8.624E+17 2.314E+17 5.306E-05 212.6 1027 5.787E+12 1.032E+16 0.000E+00 0.000E+00 23.1 0.000E+00 8.484E+17 2.276E+17 5.220E-05 212.7 1027 5.693E+12 1.015E+16 0.000E+00 0.000E+00 23.2 0.000E+00 8.346E+17 2.239E+17 5.135E-05 212.7 1027 5.601E+12 9.984E+15 0.000E+00 0.000E+00 23.3 0.000E+00 8.211E+17 2.203E+17 5.052E-05 212.8 1027 5.510E+12 9.822E+15 0.000E+00 0.000E+00 23.4 0.000E+00 8.078E+17 2.167E+17 4.970E-05 212.9 1027 5.421E+12 9.662E+15 0.000E+00 0.000E+00 23.5 0.000E+00 7.947E+17 2.132E+17 4.889E-05 213.0 1027 5.333E+12 9.505E+15 0.000E+00 0.000E+00 23.6 0.000E+00 7.818E+17 2.097E+17 4.810E-05 213.1 1027 5.246E+12 9.351E+15 0.000E+00 0.000E+00 23.7 0.000E+00 7.691E+17 2.063E+17 4.732E-05 213.2 1027 5.161E+12 9.199E+15 0.000E+00 0.000E+00 23.8 0.000E+00 7.566E+17 2.030E+17 4.655E-05 213.3 1027 5.077E+12 9.050E+15 0.000E+00 0.000E+00 23.9 0.000E+00 7.443E+17 1.997E+17 4.579E-05 213.4 1027 4.995E+12 8.903E+15 0.000E+00 0.000E+00 24.0 0.000E+00 7.322E+17 1.964E+17 4.505E-05 213.5 1027 4.914E+12 8.758E+15 0.000E+00 0.000E+00 24.1 0.000E+00 7.203E+17 1.932E+17 4.432E-05 213.6 1027 4.834E+12 8.616E+15 0.000E+00 0.000E+00 24.2 0.000E+00 7.086E+17 1.901E+17 4.360E-05 213.7 1027 4.755E+12 8.476E+15 0.000E+00 0.000E+00 24.3 0.000E+00 6.971E+17 1.870E+17 4.289E-05 213.9 1027 4.678E+12 8.339E+15 0.000E+00 0.000E+00 24.4 0.000E+00 6.858E+17 1.840E+17 4.219E-05 214.0 1027 4.602E+12 8.203E+15 0.000E+00 0.000E+00 24.5 0.000E+00 6.746E+17 1.810E+17 4.151E-05 214.1 1027 4.527E+12 8.070E+15 0.000E+00 0.000E+00 24.6 0.000E+00 6.637E+17 1.780E+17 4.083E-05 214.2 1027 4.454E+12 7.939E+15 0.000E+00 0.000E+00 24.7 0.000E+00 6.529E+17 1.752E+17 4.017E-05 214.3 1027 4.381E+12 7.810E+15 0.000E+00 0.000E+00 24.8 0.000E+00 6.423E+17 1.723E+17 3.952E-05 214.5 1027 4.310E+12 7.683E+15 0.000E+00 0.000E+00 24.9 0.000E+00 6.319E+17 1.695E+17 3.887E-05 214.6 1027 4.240E+12 7.558E+15 0.000E+00 0.000E+00 25.0 0.000E+00 6.216E+17 1.668E+17 3.824E-05 214.7 1027 4.171E+12 7.435E+15 0.000E+00 0.000E+00 25.1 0.000E+00 6.115E+17 1.640E+17 3.762E-05 214.8 1027 4.104E+12 7.314E+15 0.000E+00 0.000E+00 25.2 0.000E+00 6.016E+17 1.614E+17 3.701E-05 215.0 1027 4.037E+12 7.196E+15 0.000E+00 0.000E+00 25.3 0.000E+00 5.918E+17 1.588E+17 3.641E-05 215.1 1027 3.971E+12 7.079E+15 0.000E+00 0.000E+00 25.4 0.000E+00 5.822E+17 1.562E+17 3.582E-05 215.2 1027 3.907E+12 6.964E+15 0.000E+00 0.000E+00 25.5 0.000E+00 5.727E+17 1.536E+17 3.524E-05 215.4 1027 3.843E+12 6.851E+15 0.000E+00 0.000E+00 25.6 0.000E+00 5.634E+17 1.511E+17 3.466E-05 215.5 1027 3.781E+12 6.739E+15 0.000E+00 0.000E+00 25.7 0.000E+00 5.543E+17 1.487E+17 3.410E-05 215.7 1027 3.719E+12 6.630E+15 0.000E+00 0.000E+00 25.8 0.000E+00 5.453E+17 1.463E+17 3.355E-05 215.8 1027 3.659E+12 6.522E+15 0.000E+00 0.000E+00 25.9 0.000E+00 5.364E+17 1.439E+17 3.300E-05 216.0 1027 3.600E+12 6.416E+15 0.000E+00 0.000E+00 26.0 0.000E+00 5.277E+17 1.416E+17 3.247E-05 216.1 1027 3.541E+12 6.312E+15 0.000E+00 0.000E+00 26.1 0.000E+00 5.191E+17 1.393E+17 3.194E-05 216.3 1027 3.484E+12 6.210E+15 0.000E+00 0.000E+00 26.2 0.000E+00 5.107E+17 1.370E+17 3.142E-05 216.4 1027 3.427E+12 6.109E+15 0.000E+00 0.000E+00 26.3 0.000E+00 5.024E+17 1.348E+17 3.091E-05 216.6 1027 3.372E+12 6.010E+15 0.000E+00 0.000E+00 26.4 0.000E+00 4.943E+17 1.326E+17 3.041E-05 216.7 1027 3.317E+12 5.912E+15 0.000E+00 0.000E+00 26.5 0.000E+00 4.862E+17 1.304E+17 2.992E-05 216.9 1027 3.263E+12 5.816E+15 0.000E+00 0.000E+00 26.6 0.000E+00 4.784E+17 1.283E+17 2.943E-05 217.1 1027 3.210E+12 5.722E+15 0.000E+00 0.000E+00 26.7 0.000E+00 4.706E+17 1.262E+17 2.895E-05 217.2 1027 3.158E+12 5.629E+15 0.000E+00 0.000E+00 26.8 0.000E+00 4.630E+17 1.242E+17 2.848E-05 217.4 1027 3.107E+12 5.538E+15 0.000E+00 0.000E+00 26.9 0.000E+00 4.555E+17 1.222E+17 2.802E-05 217.5 1027 3.057E+12 5.448E+15 0.000E+00 0.000E+00 27.0 0.000E+00 4.481E+17 1.202E+17 2.757E-05 217.7 1027 3.007E+12 5.360E+15 0.000E+00 0.000E+00 27.1 0.000E+00 4.408E+17 1.183E+17 2.712E-05 217.9 1027 2.958E+12 5.273E+15 0.000E+00 0.000E+00 27.2 0.000E+00 4.337E+17 1.163E+17 2.668E-05 218.1 1027 2.910E+12 5.188E+15 0.000E+00 0.000E+00 27.3 0.000E+00 4.267E+17 1.145E+17 2.625E-05 218.2 1027 2.863E+12 5.104E+15 0.000E+00 0.000E+00 27.4 0.000E+00 4.198E+17 1.126E+17 2.583E-05 218.4 1027 2.817E+12 5.021E+15 0.000E+00 0.000E+00 27.5 0.000E+00 4.130E+17 1.108E+17 2.541E-05 218.6 1027 2.771E+12 4.940E+15 0.000E+00 0.000E+00 27.6 0.000E+00 4.063E+17 1.090E+17 2.500E-05 218.8 1027 2.726E+12 4.860E+15 0.000E+00 0.000E+00 27.7 0.000E+00 3.997E+17 1.072E+17 2.459E-05 219.0 1027 2.682E+12 4.781E+15 0.000E+00 0.000E+00 27.8 0.000E+00 3.933E+17 1.055E+17 2.419E-05 219.1 1027 2.639E+12 4.704E+15 0.000E+00 0.000E+00 27.9 0.000E+00 3.869E+17 1.038E+17 2.380E-05 219.3 1027 2.596E+12 4.628E+15 0.000E+00 0.000E+00 28.0 0.000E+00 3.806E+17 1.021E+17 2.342E-05 219.5 1027 2.554E+12 4.553E+15 0.000E+00 0.000E+00 28.1 0.000E+00 3.745E+17 1.005E+17 2.304E-05 219.7 1027 2.513E+12 4.480E+15 0.000E+00 0.000E+00 28.2 0.000E+00 3.685E+17 9.885E+16 2.267E-05 219.9 1027 2.473E+12 4.407E+15 0.000E+00 0.000E+00 28.3 0.000E+00 3.625E+17 9.725E+16 2.230E-05 220.1 1027 2.433E+12 4.336E+15 0.000E+00 0.000E+00 28.4 0.000E+00 3.567E+17 9.568E+16 2.194E-05 220.3 1027 2.393E+12 4.266E+15 0.000E+00 0.000E+00 28.5 0.000E+00 3.509E+17 9.414E+16 2.159E-05 220.5 1027 2.355E+12 4.197E+15 0.000E+00 0.000E+00 28.6 0.000E+00 3.453E+17 9.262E+16 2.124E-05 220.7 1027 2.317E+12 4.130E+15 0.000E+00 0.000E+00 28.7 0.000E+00 3.397E+17 9.113E+16 2.090E-05 220.9 1027 2.280E+12 4.063E+15 0.000E+00 0.000E+00 28.8 0.000E+00 3.342E+17 8.966E+16 2.056E-05 221.1 1027 2.243E+12 3.998E+15 0.000E+00 0.000E+00 28.9 0.000E+00 3.288E+17 8.822E+16 2.023E-05 221.3 1027 2.207E+12 3.933E+15 0.000E+00 0.000E+00 29.0 0.000E+00 3.235E+17 8.680E+16 1.991E-05 221.5 1027 2.171E+12 3.870E+15 0.000E+00 0.000E+00 29.1 0.000E+00 3.183E+17 8.540E+16 1.959E-05 221.7 1027 2.136E+12 3.808E+15 0.000E+00 0.000E+00 29.2 0.000E+00 3.132E+17 8.403E+16 1.927E-05 221.9 1027 2.102E+12 3.747E+15 0.000E+00 0.000E+00 29.3 0.000E+00 3.082E+17 8.268E+16 1.896E-05 222.2 1027 2.068E+12 3.686E+15 0.000E+00 0.000E+00 29.4 0.000E+00 3.032E+17 8.135E+16 1.866E-05 222.4 1027 2.035E+12 3.627E+15 0.000E+00 0.000E+00 29.5 0.000E+00 2.984E+17 8.004E+16 1.836E-05 222.6 1027 2.002E+12 3.569E+15 0.000E+00 0.000E+00 29.6 0.000E+00 2.936E+17 7.876E+16 1.806E-05 222.8 1027 1.970E+12 3.512E+15 0.000E+00 0.000E+00 29.7 0.000E+00 2.889E+17 7.750E+16 1.777E-05 223.0 1027 1.939E+12 3.455E+15 0.000E+00 0.000E+00 29.8 0.000E+00 2.842E+17 7.625E+16 1.749E-05 223.3 1027 1.907E+12 3.400E+15 0.000E+00 0.000E+00 29.9 0.000E+00 2.797E+17 7.503E+16 1.721E-05 223.5 1027 1.877E+12 3.345E+15 0.000E+00 0.000E+00 30.0 0.000E+00 2.752E+17 7.383E+16 1.693E-05 223.7 1027 1.847E+12 3.292E+15 0.000E+00 0.000E+00 30.1 0.000E+00 2.708E+17 7.265E+16 1.666E-05 223.9 1027 1.817E+12 3.239E+15 0.000E+00 0.000E+00 30.2 0.000E+00 2.665E+17 7.149E+16 1.639E-05 224.2 1027 1.788E+12 3.187E+15 0.000E+00 0.000E+00 30.3 0.000E+00 2.622E+17 7.034E+16 1.613E-05 224.4 1027 1.760E+12 3.136E+15 0.000E+00 0.000E+00 30.4 0.000E+00 2.580E+17 6.922E+16 1.587E-05 224.6 1027 1.732E+12 3.086E+15 0.000E+00 0.000E+00 30.5 0.000E+00 2.539E+17 6.811E+16 1.562E-05 224.9 1027 1.704E+12 3.037E+15 0.000E+00 0.000E+00 30.6 0.000E+00 2.498E+17 6.703E+16 1.537E-05 225.1 1027 1.677E+12 2.989E+15 0.000E+00 0.000E+00 30.7 0.000E+00 2.459E+17 6.596E+16 1.513E-05 225.4 1027 1.650E+12 2.941E+15 0.000E+00 0.000E+00 30.8 0.000E+00 2.419E+17 6.491E+16 1.489E-05 225.6 1027 1.624E+12 2.894E+15 0.000E+00 0.000E+00 30.9 0.000E+00 2.381E+17 6.387E+16 1.465E-05 225.8 1027 1.598E+12 2.848E+15 0.000E+00 0.000E+00 31.0 0.000E+00 2.343E+17 6.285E+16 1.442E-05 226.1 1027 1.572E+12 2.803E+15 0.000E+00 0.000E+00 31.1 0.000E+00 2.306E+17 6.185E+16 1.419E-05 226.3 1027 1.547E+12 2.758E+15 0.000E+00 0.000E+00 31.2 0.000E+00 2.269E+17 6.087E+16 1.396E-05 226.6 1027 1.523E+12 2.714E+15 0.000E+00 0.000E+00 31.3 0.000E+00 2.233E+17 5.990E+16 1.374E-05 226.8 1027 1.498E+12 2.671E+15 0.000E+00 0.000E+00 31.4 0.000E+00 2.198E+17 5.895E+16 1.352E-05 227.1 1027 1.475E+12 2.629E+15 0.000E+00 0.000E+00 31.5 0.000E+00 2.163E+17 5.802E+16 1.331E-05 227.3 1027 1.451E+12 2.587E+15 0.000E+00 0.000E+00 31.6 0.000E+00 2.128E+17 5.710E+16 1.309E-05 227.6 1027 1.428E+12 2.546E+15 0.000E+00 0.000E+00 31.7 0.000E+00 2.095E+17 5.619E+16 1.289E-05 227.8 1027 1.406E+12 2.505E+15 0.000E+00 0.000E+00 31.8 0.000E+00 2.061E+17 5.530E+16 1.268E-05 228.1 1027 1.383E+12 2.466E+15 0.000E+00 0.000E+00 31.9 0.000E+00 2.029E+17 5.443E+16 1.248E-05 228.4 1027 1.361E+12 2.427E+15 0.000E+00 0.000E+00 32.0 0.000E+00 1.997E+17 5.357E+16 1.228E-05 228.6 1027 1.340E+12 2.388E+15 0.000E+00 0.000E+00 32.1 0.000E+00 1.965E+17 5.272E+16 1.209E-05 228.9 1027 1.319E+12 2.351E+15 0.000E+00 0.000E+00 32.2 0.000E+00 1.934E+17 5.189E+16 1.190E-05 229.2 1027 1.298E+12 2.314E+15 0.000E+00 0.000E+00 32.3 0.000E+00 1.904E+17 5.107E+16 1.171E-05 229.4 1027 1.277E+12 2.277E+15 0.000E+00 0.000E+00 32.4 0.000E+00 1.874E+17 5.026E+16 1.153E-05 229.7 1027 1.257E+12 2.241E+15 0.000E+00 0.000E+00 32.5 0.000E+00 1.844E+17 4.947E+16 1.135E-05 230.0 1027 1.237E+12 2.206E+15 0.000E+00 0.000E+00 32.6 0.000E+00 1.815E+17 4.869E+16 1.117E-05 230.2 1027 1.218E+12 2.171E+15 0.000E+00 0.000E+00 32.7 0.000E+00 1.786E+17 4.793E+16 1.099E-05 230.5 1027 1.199E+12 2.137E+15 0.000E+00 0.000E+00 32.8 0.000E+00 1.758E+17 4.717E+16 1.082E-05 230.8 1027 1.180E+12 2.103E+15 0.000E+00 0.000E+00 32.9 0.000E+00 1.731E+17 4.643E+16 1.065E-05 231.1 1027 1.161E+12 2.070E+15 0.000E+00 0.000E+00 33.0 0.000E+00 1.704E+17 4.570E+16 1.048E-05 231.3 1027 1.143E+12 2.038E+15 0.000E+00 0.000E+00 33.1 0.000E+00 1.677E+17 4.498E+16 1.032E-05 231.6 1027 1.125E+12 2.006E+15 0.000E+00 0.000E+00 33.2 0.000E+00 1.650E+17 4.428E+16 1.015E-05 231.9 1027 1.108E+12 1.974E+15 0.000E+00 0.000E+00 33.3 0.000E+00 1.625E+17 4.358E+16 9.995E-06 232.2 1027 1.090E+12 1.943E+15 0.000E+00 0.000E+00 33.4 0.000E+00 1.599E+17 4.290E+16 9.839E-06 232.5 1027 1.073E+12 1.913E+15 0.000E+00 0.000E+00 33.5 0.000E+00 1.574E+17 4.223E+16 9.685E-06 232.8 1027 1.056E+12 1.883E+15 0.000E+00 0.000E+00 33.6 0.000E+00 1.549E+17 4.157E+16 9.533E-06 233.1 1027 1.040E+12 1.853E+15 0.000E+00 0.000E+00 33.7 0.000E+00 1.525E+17 4.092E+16 9.384E-06 233.4 1027 1.024E+12 1.824E+15 0.000E+00 0.000E+00 33.8 0.000E+00 1.501E+17 4.028E+16 9.237E-06 233.7 1027 1.008E+12 1.796E+15 0.000E+00 0.000E+00 33.9 0.000E+00 1.478E+17 3.965E+16 9.093E-06 234.0 1027 9.918E+11 1.768E+15 0.000E+00 0.000E+00 34.0 0.000E+00 1.455E+17 3.903E+16 8.951E-06 234.3 1027 9.764E+11 1.740E+15 0.000E+00 0.000E+00 34.1 0.000E+00 1.432E+17 3.842E+16 8.812E-06 234.6 1027 9.612E+11 1.713E+15 0.000E+00 0.000E+00 34.2 0.000E+00 1.410E+17 3.783E+16 8.675E-06 234.9 1027 9.462E+11 1.687E+15 0.000E+00 0.000E+00 34.3 0.000E+00 1.388E+17 3.724E+16 8.540E-06 235.2 1027 9.315E+11 1.660E+15 0.000E+00 0.000E+00 34.4 0.000E+00 1.366E+17 3.666E+16 8.407E-06 235.5 1027 9.170E+11 1.635E+15 0.000E+00 0.000E+00 34.5 0.000E+00 1.345E+17 3.609E+16 8.277E-06 235.8 1027 9.028E+11 1.609E+15 0.000E+00 0.000E+00 34.6 0.000E+00 1.324E+17 3.553E+16 8.148E-06 236.1 1027 8.888E+11 1.584E+15 0.000E+00 0.000E+00 34.7 0.000E+00 1.304E+17 3.498E+16 8.022E-06 236.4 1027 8.750E+11 1.560E+15 0.000E+00 0.000E+00 34.8 0.000E+00 1.284E+17 3.444E+16 7.898E-06 236.7 1027 8.614E+11 1.535E+15 0.000E+00 0.000E+00 34.9 0.000E+00 1.264E+17 3.390E+16 7.776E-06 237.1 1027 8.481E+11 1.512E+15 0.000E+00 0.000E+00 35.0 0.000E+00 1.244E+17 3.338E+16 7.656E-06 237.4 1027 8.350E+11 1.488E+15 0.000E+00 0.000E+00 35.1 0.000E+00 1.225E+17 3.287E+16 7.537E-06 237.7 1027 8.221E+11 1.465E+15 0.000E+00 0.000E+00 35.2 0.000E+00 1.206E+17 3.236E+16 7.421E-06 238.0 1027 8.095E+11 1.443E+15 0.000E+00 0.000E+00 35.3 0.000E+00 1.188E+17 3.186E+16 7.307E-06 238.3 1027 7.970E+11 1.421E+15 0.000E+00 0.000E+00 35.4 0.000E+00 1.169E+17 3.137E+16 7.195E-06 238.7 1027 7.847E+11 1.399E+15 0.000E+00 0.000E+00 35.5 0.000E+00 1.151E+17 3.089E+16 7.084E-06 239.0 1027 7.727E+11 1.377E+15 0.000E+00 0.000E+00 35.6 0.000E+00 1.134E+17 3.041E+16 6.975E-06 239.3 1027 7.608E+11 1.356E+15 0.000E+00 0.000E+00 35.7 0.000E+00 1.116E+17 2.995E+16 6.868E-06 239.6 1027 7.491E+11 1.335E+15 0.000E+00 0.000E+00 35.8 0.000E+00 1.099E+17 2.949E+16 6.763E-06 239.9 1027 7.377E+11 1.315E+15 0.000E+00 0.000E+00 35.9 0.000E+00 1.082E+17 2.904E+16 6.660E-06 240.3 1027 7.264E+11 1.295E+15 0.000E+00 0.000E+00 36.0 0.000E+00 1.066E+17 2.859E+16 6.558E-06 240.6 1027 7.153E+11 1.275E+15 0.000E+00 0.000E+00 36.1 0.000E+00 1.050E+17 2.816E+16 6.458E-06 240.9 1027 7.044E+11 1.256E+15 0.000E+00 0.000E+00 36.2 0.000E+00 1.034E+17 2.773E+16 6.359E-06 241.3 1027 6.936E+11 1.236E+15 0.000E+00 0.000E+00 36.3 0.000E+00 1.018E+17 2.731E+16 6.263E-06 241.6 1027 6.831E+11 1.218E+15 0.000E+00 0.000E+00 36.4 0.000E+00 1.002E+17 2.689E+16 6.167E-06 241.9 1027 6.727E+11 1.199E+15 0.000E+00 0.000E+00 36.5 0.000E+00 9.872E+16 2.648E+16 6.074E-06 242.2 1027 6.625E+11 1.181E+15 0.000E+00 0.000E+00 36.6 0.000E+00 9.722E+16 2.608E+16 5.982E-06 242.6 1027 6.524E+11 1.163E+15 0.000E+00 0.000E+00 36.7 0.000E+00 9.575E+16 2.569E+16 5.891E-06 242.9 1027 6.426E+11 1.145E+15 0.000E+00 0.000E+00 36.8 0.000E+00 9.430E+16 2.530E+16 5.802E-06 243.2 1027 6.328E+11 1.128E+15 0.000E+00 0.000E+00 36.9 0.000E+00 9.288E+16 2.492E+16 5.714E-06 243.5 1027 6.233E+11 1.111E+15 0.000E+00 0.000E+00 37.0 0.000E+00 9.148E+16 2.454E+16 5.628E-06 243.9 1027 6.139E+11 1.094E+15 0.000E+00 0.000E+00 37.1 0.000E+00 9.010E+16 2.417E+16 5.543E-06 244.2 1027 6.046E+11 1.078E+15 0.000E+00 0.000E+00 37.2 0.000E+00 8.875E+16 2.381E+16 5.460E-06 244.5 1027 5.955E+11 1.062E+15 0.000E+00 0.000E+00 37.3 0.000E+00 8.741E+16 2.345E+16 5.378E-06 244.9 1027 5.866E+11 1.046E+15 0.000E+00 0.000E+00 37.4 0.000E+00 8.610E+16 2.310E+16 5.297E-06 245.2 1027 5.778E+11 1.030E+15 0.000E+00 0.000E+00 37.5 0.000E+00 8.481E+16 2.275E+16 5.218E-06 245.5 1027 5.692E+11 1.014E+15 0.000E+00 0.000E+00 37.6 0.000E+00 8.354E+16 2.241E+16 5.140E-06 245.8 1027 5.606E+11 9.993E+14 0.000E+00 0.000E+00 37.7 0.000E+00 8.230E+16 2.208E+16 5.063E-06 246.2 1027 5.523E+11 9.844E+14 0.000E+00 0.000E+00 37.8 0.000E+00 8.107E+16 2.175E+16 4.988E-06 246.5 1027 5.440E+11 9.697E+14 0.000E+00 0.000E+00 37.9 0.000E+00 7.986E+16 2.143E+16 4.914E-06 246.8 1027 5.359E+11 9.553E+14 0.000E+00 0.000E+00 38.0 0.000E+00 7.868E+16 2.111E+16 4.841E-06 247.1 1027 5.280E+11 9.411E+14 0.000E+00 0.000E+00 38.1 0.000E+00 7.751E+16 2.079E+16 4.769E-06 247.5 1027 5.201E+11 9.271E+14 0.000E+00 0.000E+00 38.2 0.000E+00 7.636E+16 2.049E+16 4.698E-06 247.8 1027 5.124E+11 9.134E+14 0.000E+00 0.000E+00 38.3 0.000E+00 7.523E+16 2.018E+16 4.629E-06 248.1 1027 5.049E+11 8.999E+14 0.000E+00 0.000E+00 38.4 0.000E+00 7.412E+16 1.988E+16 4.560E-06 248.4 1027 4.974E+11 8.866E+14 0.000E+00 0.000E+00 38.5 0.000E+00 7.303E+16 1.959E+16 4.493E-06 248.7 1027 4.901E+11 8.735E+14 0.000E+00 0.000E+00 38.6 0.000E+00 7.195E+16 1.930E+16 4.427E-06 249.1 1027 4.828E+11 8.606E+14 0.000E+00 0.000E+00 38.7 0.000E+00 7.089E+16 1.902E+16 4.362E-06 249.4 1027 4.757E+11 8.480E+14 0.000E+00 0.000E+00 38.8 0.000E+00 6.985E+16 1.874E+16 4.298E-06 249.7 1027 4.688E+11 8.356E+14 0.000E+00 0.000E+00 38.9 0.000E+00 6.883E+16 1.847E+16 4.235E-06 250.0 1027 4.619E+11 8.233E+14 0.000E+00 0.000E+00 39.0 0.000E+00 6.782E+16 1.820E+16 4.173E-06 250.3 1027 4.551E+11 8.113E+14 0.000E+00 0.000E+00 39.1 0.000E+00 6.683E+16 1.793E+16 4.112E-06 250.6 1027 4.485E+11 7.994E+14 0.000E+00 0.000E+00 39.2 0.000E+00 6.586E+16 1.767E+16 4.052E-06 250.9 1027 4.420E+11 7.878E+14 0.000E+00 0.000E+00 39.3 0.000E+00 6.490E+16 1.741E+16 3.993E-06 251.3 1027 4.355E+11 7.763E+14 0.000E+00 0.000E+00 39.4 0.000E+00 6.396E+16 1.716E+16 3.935E-06 251.6 1027 4.292E+11 7.650E+14 0.000E+00 0.000E+00 39.5 0.000E+00 6.303E+16 1.691E+16 3.878E-06 251.9 1027 4.230E+11 7.539E+14 0.000E+00 0.000E+00 39.6 0.000E+00 6.212E+16 1.666E+16 3.822E-06 252.2 1027 4.169E+11 7.430E+14 0.000E+00 0.000E+00 39.7 0.000E+00 6.122E+16 1.642E+16 3.767E-06 252.5 1027 4.108E+11 7.323E+14 0.000E+00 0.000E+00 39.8 0.000E+00 6.034E+16 1.619E+16 3.712E-06 252.8 1027 4.049E+11 7.217E+14 0.000E+00 0.000E+00 39.9 0.000E+00 5.947E+16 1.595E+16 3.659E-06 253.1 1027 3.991E+11 7.113E+14 0.000E+00 0.000E+00 40.0 0.000E+00 5.862E+16 1.572E+16 3.606E-06 253.4 1027 3.933E+11 7.011E+14 0.000E+00 0.000E+00 40.1 0.000E+00 5.777E+16 1.550E+16 3.555E-06 253.6 1027 3.877E+11 6.911E+14 0.000E+00 0.000E+00 40.2 0.000E+00 5.695E+16 1.528E+16 3.504E-06 253.9 1027 3.822E+11 6.812E+14 0.000E+00 0.000E+00 40.3 0.000E+00 5.613E+16 1.506E+16 3.454E-06 254.2 1027 3.767E+11 6.714E+14 0.000E+00 0.000E+00 40.4 0.000E+00 5.533E+16 1.484E+16 3.404E-06 254.5 1027 3.713E+11 6.619E+14 0.000E+00 0.000E+00 40.5 0.000E+00 5.455E+16 1.463E+16 3.356E-06 254.8 1027 3.660E+11 6.524E+14 0.000E+00 0.000E+00 40.6 0.000E+00 5.377E+16 1.442E+16 3.308E-06 255.1 1027 3.608E+11 6.432E+14 0.000E+00 0.000E+00 40.7 0.000E+00 5.301E+16 1.422E+16 3.261E-06 255.3 1027 3.557E+11 6.341E+14 0.000E+00 0.000E+00 40.8 0.000E+00 5.226E+16 1.402E+16 3.215E-06 255.6 1027 3.507E+11 6.251E+14 0.000E+00 0.000E+00 40.9 0.000E+00 5.152E+16 1.382E+16 3.170E-06 255.9 1027 3.457E+11 6.162E+14 0.000E+00 0.000E+00 41.0 0.000E+00 5.079E+16 1.363E+16 3.125E-06 256.1 1027 3.409E+11 6.076E+14 0.000E+00 0.000E+00 41.1 0.000E+00 5.008E+16 1.343E+16 3.081E-06 256.4 1027 3.361E+11 5.990E+14 0.000E+00 0.000E+00 41.2 0.000E+00 4.937E+16 1.325E+16 3.038E-06 256.6 1027 3.313E+11 5.906E+14 0.000E+00 0.000E+00 41.3 0.000E+00 4.868E+16 1.306E+16 2.995E-06 256.9 1027 3.267E+11 5.823E+14 0.000E+00 0.000E+00 41.4 0.000E+00 4.800E+16 1.288E+16 2.953E-06 257.1 1027 3.221E+11 5.742E+14 0.000E+00 0.000E+00 41.5 0.000E+00 4.733E+16 1.270E+16 2.912E-06 257.4 1027 3.176E+11 5.662E+14 0.000E+00 0.000E+00 41.6 0.000E+00 4.667E+16 1.252E+16 2.872E-06 257.6 1027 3.132E+11 5.583E+14 0.000E+00 0.000E+00 41.7 0.000E+00 4.602E+16 1.235E+16 2.832E-06 257.9 1027 3.089E+11 5.505E+14 0.000E+00 0.000E+00 41.8 0.000E+00 4.539E+16 1.218E+16 2.792E-06 258.1 1027 3.046E+11 5.429E+14 0.000E+00 0.000E+00 41.9 0.000E+00 4.476E+16 1.201E+16 2.754E-06 258.3 1027 3.003E+11 5.354E+14 0.000E+00 0.000E+00 42.0 0.000E+00 4.414E+16 1.184E+16 2.716E-06 258.6 1027 2.962E+11 5.280E+14 0.000E+00 0.000E+00 42.1 0.000E+00 4.353E+16 1.168E+16 2.678E-06 258.8 1027 2.921E+11 5.207E+14 0.000E+00 0.000E+00 42.2 0.000E+00 4.293E+16 1.152E+16 2.641E-06 259.0 1027 2.881E+11 5.135E+14 0.000E+00 0.000E+00 42.3 0.000E+00 4.234E+16 1.136E+16 2.605E-06 259.2 1027 2.841E+11 5.065E+14 0.000E+00 0.000E+00 42.4 0.000E+00 4.176E+16 1.120E+16 2.569E-06 259.4 1027 2.802E+11 4.995E+14 0.000E+00 0.000E+00 42.5 0.000E+00 4.119E+16 1.105E+16 2.534E-06 259.6 1027 2.764E+11 4.927E+14 0.000E+00 0.000E+00 42.6 0.000E+00 4.063E+16 1.090E+16 2.500E-06 259.8 1027 2.726E+11 4.860E+14 0.000E+00 0.000E+00 42.7 0.000E+00 4.008E+16 1.075E+16 2.466E-06 260.0 1027 2.689E+11 4.794E+14 0.000E+00 0.000E+00 42.8 0.000E+00 3.953E+16 1.060E+16 2.432E-06 260.2 1027 2.653E+11 4.728E+14 0.000E+00 0.000E+00 42.9 0.000E+00 3.900E+16 1.046E+16 2.399E-06 260.4 1027 2.617E+11 4.664E+14 0.000E+00 0.000E+00 43.0 0.000E+00 3.847E+16 1.032E+16 2.367E-06 260.6 1027 2.581E+11 4.601E+14 0.000E+00 0.000E+00 43.1 0.000E+00 3.795E+16 1.018E+16 2.335E-06 260.7 1027 2.547E+11 4.539E+14 0.000E+00 0.000E+00 43.2 0.000E+00 3.744E+16 1.004E+16 2.303E-06 260.9 1027 2.512E+11 4.478E+14 0.000E+00 0.000E+00 43.3 0.000E+00 3.693E+16 9.908E+15 2.272E-06 261.1 1027 2.479E+11 4.418E+14 0.000E+00 0.000E+00 43.4 0.000E+00 3.644E+16 9.776E+15 2.242E-06 261.2 1027 2.445E+11 4.359E+14 0.000E+00 0.000E+00 43.5 0.000E+00 3.595E+16 9.645E+15 2.212E-06 261.4 1027 2.413E+11 4.300E+14 0.000E+00 0.000E+00 43.6 0.000E+00 3.547E+16 9.516E+15 2.182E-06 261.5 1027 2.380E+11 4.243E+14 0.000E+00 0.000E+00 43.7 0.000E+00 3.500E+16 9.389E+15 2.153E-06 261.7 1027 2.349E+11 4.186E+14 0.000E+00 0.000E+00 43.8 0.000E+00 3.453E+16 9.265E+15 2.125E-06 261.8 1027 2.318E+11 4.131E+14 0.000E+00 0.000E+00 43.9 0.000E+00 3.408E+16 9.142E+15 2.097E-06 261.9 1027 2.287E+11 4.076E+14 0.000E+00 0.000E+00 44.0 0.000E+00 3.363E+16 9.021E+15 2.069E-06 262.0 1027 2.257E+11 4.022E+14 0.000E+00 0.000E+00 44.1 0.000E+00 3.318E+16 8.902E+15 2.042E-06 262.2 1027 2.227E+11 3.969E+14 0.000E+00 0.000E+00 44.2 0.000E+00 3.275E+16 8.785E+15 2.015E-06 262.3 1027 2.197E+11 3.917E+14 0.000E+00 0.000E+00 44.3 0.000E+00 3.232E+16 8.669E+15 1.988E-06 262.4 1027 2.169E+11 3.865E+14 0.000E+00 0.000E+00 44.4 0.000E+00 3.189E+16 8.556E+15 1.962E-06 262.5 1027 2.140E+11 3.815E+14 0.000E+00 0.000E+00 44.5 0.000E+00 3.147E+16 8.444E+15 1.936E-06 262.6 1027 2.112E+11 3.765E+14 0.000E+00 0.000E+00 44.6 0.000E+00 3.106E+16 8.333E+15 1.911E-06 262.6 1027 2.085E+11 3.716E+14 0.000E+00 0.000E+00 44.7 0.000E+00 3.066E+16 8.225E+15 1.886E-06 262.7 1027 2.057E+11 3.667E+14 0.000E+00 0.000E+00 44.8 0.000E+00 3.026E+16 8.118E+15 1.862E-06 262.8 1027 2.031E+11 3.620E+14 0.000E+00 0.000E+00 44.9 0.000E+00 2.987E+16 8.013E+15 1.838E-06 262.8 1027 2.004E+11 3.573E+14 0.000E+00 0.000E+00 45.0 0.000E+00 2.948E+16 7.909E+15 1.814E-06 262.9 1027 1.978E+11 3.527E+14 0.000E+00 0.000E+00 45.1 0.000E+00 2.910E+16 7.807E+15 1.791E-06 262.9 1027 1.953E+11 3.481E+14 0.000E+00 0.000E+00 45.2 0.000E+00 2.873E+16 7.707E+15 1.767E-06 263.0 1027 1.928E+11 3.436E+14 0.000E+00 0.000E+00 45.3 0.000E+00 2.836E+16 7.608E+15 1.745E-06 263.0 1027 1.903E+11 3.392E+14 0.000E+00 0.000E+00 45.4 0.000E+00 2.800E+16 7.510E+15 1.722E-06 263.0 1027 1.879E+11 3.349E+14 0.000E+00 0.000E+00 45.5 0.000E+00 2.764E+16 7.414E+15 1.700E-06 263.1 1027 1.855E+11 3.306E+14 0.000E+00 0.000E+00 45.6 0.000E+00 2.728E+16 7.320E+15 1.679E-06 263.1 1027 1.831E+11 3.264E+14 0.000E+00 0.000E+00 45.7 0.000E+00 2.694E+16 7.226E+15 1.657E-06 263.1 1027 1.808E+11 3.222E+14 0.000E+00 0.000E+00 45.8 0.000E+00 2.659E+16 7.134E+15 1.636E-06 263.1 1027 1.785E+11 3.181E+14 0.000E+00 0.000E+00 45.9 0.000E+00 2.626E+16 7.044E+15 1.615E-06 263.1 1027 1.762E+11 3.141E+14 0.000E+00 0.000E+00 46.0 0.000E+00 2.592E+16 6.955E+15 1.595E-06 263.1 1027 1.740E+11 3.101E+14 0.000E+00 0.000E+00 46.1 0.000E+00 2.560E+16 6.867E+15 1.575E-06 263.0 1027 1.718E+11 3.062E+14 0.000E+00 0.000E+00 46.2 0.000E+00 2.527E+16 6.780E+15 1.555E-06 263.0 1027 1.696E+11 3.023E+14 0.000E+00 0.000E+00 46.3 0.000E+00 2.496E+16 6.695E+15 1.535E-06 263.0 1027 1.675E+11 2.985E+14 0.000E+00 0.000E+00 46.4 0.000E+00 2.464E+16 6.611E+15 1.516E-06 262.9 1027 1.654E+11 2.948E+14 0.000E+00 0.000E+00 46.5 0.000E+00 2.433E+16 6.528E+15 1.497E-06 262.9 1027 1.633E+11 2.911E+14 0.000E+00 0.000E+00 46.6 0.000E+00 2.403E+16 6.446E+15 1.478E-06 262.9 1027 1.612E+11 2.874E+14 0.000E+00 0.000E+00 46.7 0.000E+00 2.373E+16 6.365E+15 1.460E-06 262.8 1027 1.592E+11 2.838E+14 0.000E+00 0.000E+00 46.8 0.000E+00 2.343E+16 6.286E+15 1.442E-06 262.7 1027 1.572E+11 2.803E+14 0.000E+00 0.000E+00 46.9 0.000E+00 2.314E+16 6.207E+15 1.424E-06 262.7 1027 1.553E+11 2.768E+14 0.000E+00 0.000E+00 47.0 0.000E+00 2.285E+16 6.130E+15 1.406E-06 262.6 1027 1.533E+11 2.733E+14 0.000E+00 0.000E+00 47.1 0.000E+00 2.257E+16 6.054E+15 1.388E-06 262.5 1027 1.514E+11 2.699E+14 0.000E+00 0.000E+00 47.2 0.000E+00 2.229E+16 5.979E+15 1.371E-06 262.4 1027 1.496E+11 2.666E+14 0.000E+00 0.000E+00 47.3 0.000E+00 2.201E+16 5.905E+15 1.354E-06 262.3 1027 1.477E+11 2.633E+14 0.000E+00 0.000E+00 47.4 0.000E+00 2.174E+16 5.831E+15 1.337E-06 262.2 1027 1.459E+11 2.600E+14 0.000E+00 0.000E+00 47.5 0.000E+00 2.147E+16 5.759E+15 1.321E-06 262.1 1027 1.441E+11 2.568E+14 0.000E+00 0.000E+00 47.6 0.000E+00 2.120E+16 5.688E+15 1.305E-06 262.0 1027 1.423E+11 2.536E+14 0.000E+00 0.000E+00 47.7 0.000E+00 2.094E+16 5.618E+15 1.288E-06 261.9 1027 1.405E+11 2.505E+14 0.000E+00 0.000E+00 47.8 0.000E+00 2.068E+16 5.549E+15 1.273E-06 261.8 1027 1.388E+11 2.474E+14 0.000E+00 0.000E+00 47.9 0.000E+00 2.043E+16 5.480E+15 1.257E-06 261.7 1027 1.371E+11 2.444E+14 0.000E+00 0.000E+00 48.0 0.000E+00 2.018E+16 5.413E+15 1.241E-06 261.6 1027 1.354E+11 2.413E+14 0.000E+00 0.000E+00 48.1 0.000E+00 1.993E+16 5.346E+15 1.226E-06 261.4 1027 1.337E+11 2.384E+14 0.000E+00 0.000E+00 48.2 0.000E+00 1.968E+16 5.281E+15 1.211E-06 261.3 1027 1.321E+11 2.355E+14 0.000E+00 0.000E+00 48.3 0.000E+00 1.944E+16 5.216E+15 1.196E-06 261.2 1027 1.305E+11 2.326E+14 0.000E+00 0.000E+00 48.4 0.000E+00 1.920E+16 5.152E+15 1.182E-06 261.0 1027 1.289E+11 2.297E+14 0.000E+00 0.000E+00 48.5 0.000E+00 1.897E+16 5.089E+15 1.167E-06 260.9 1027 1.273E+11 2.269E+14 0.000E+00 0.000E+00 48.6 0.000E+00 1.874E+16 5.027E+15 1.153E-06 260.7 1027 1.257E+11 2.241E+14 0.000E+00 0.000E+00 48.7 0.000E+00 1.851E+16 4.965E+15 1.139E-06 260.6 1027 1.242E+11 2.214E+14 0.000E+00 0.000E+00 48.8 0.000E+00 1.828E+16 4.905E+15 1.125E-06 260.4 1027 1.227E+11 2.187E+14 0.000E+00 0.000E+00 48.9 0.000E+00 1.806E+16 4.845E+15 1.111E-06 260.2 1027 1.212E+11 2.160E+14 0.000E+00 0.000E+00 49.0 0.000E+00 1.784E+16 4.786E+15 1.098E-06 260.1 1027 1.197E+11 2.134E+14 0.000E+00 0.000E+00 49.1 0.000E+00 1.762E+16 4.727E+15 1.084E-06 259.9 1027 1.182E+11 2.108E+14 0.000E+00 0.000E+00 49.2 0.000E+00 1.741E+16 4.670E+15 1.071E-06 259.7 1027 1.168E+11 2.082E+14 0.000E+00 0.000E+00 49.3 0.000E+00 1.719E+16 4.613E+15 1.058E-06 259.5 1027 1.154E+11 2.057E+14 0.000E+00 0.000E+00 49.4 0.000E+00 1.698E+16 4.556E+15 1.045E-06 259.4 1027 1.140E+11 2.032E+14 0.000E+00 0.000E+00 49.5 0.000E+00 1.678E+16 4.501E+15 1.032E-06 259.2 1027 1.126E+11 2.007E+14 0.000E+00 0.000E+00 49.6 0.000E+00 1.657E+16 4.446E+15 1.020E-06 259.0 1027 1.112E+11 1.982E+14 0.000E+00 0.000E+00 49.7 0.000E+00 1.637E+16 4.392E+15 1.007E-06 258.8 1027 1.099E+11 1.958E+14 0.000E+00 0.000E+00 49.8 0.000E+00 1.617E+16 4.339E+15 9.950E-07 258.6 1027 1.085E+11 1.935E+14 0.000E+00 0.000E+00 49.9 0.000E+00 1.598E+16 4.286E+15 9.829E-07 258.4 1027 1.072E+11 1.911E+14 0.000E+00 0.000E+00 50.0 0.000E+00 1.578E+16 4.234E+15 9.710E-07 258.2 1027 1.059E+11 1.888E+14 0.000E+00 0.000E+00 50.1 0.000E+00 1.559E+16 4.182E+15 9.592E-07 258.0 1027 1.046E+11 1.865E+14 0.000E+00 0.000E+00 50.2 0.000E+00 1.540E+16 4.132E+15 9.475E-07 257.8 1027 1.033E+11 1.842E+14 0.000E+00 0.000E+00 50.3 0.000E+00 1.521E+16 4.081E+15 9.360E-07 257.6 1027 1.021E+11 1.820E+14 0.000E+00 0.000E+00 50.4 0.000E+00 1.503E+16 4.032E+15 9.246E-07 257.4 1027 1.009E+11 1.798E+14 0.000E+00 0.000E+00 50.5 0.000E+00 1.485E+16 3.983E+15 9.134E-07 257.1 1027 9.963E+10 1.776E+14 0.000E+00 0.000E+00 50.6 0.000E+00 1.467E+16 3.934E+15 9.023E-07 256.9 1027 9.842E+10 1.754E+14 0.000E+00 0.000E+00 50.7 0.000E+00 1.449E+16 3.887E+15 8.913E-07 256.7 1027 9.722E+10 1.733E+14 0.000E+00 0.000E+00 50.8 0.000E+00 1.431E+16 3.839E+15 8.805E-07 256.5 1027 9.604E+10 1.712E+14 0.000E+00 0.000E+00 50.9 0.000E+00 1.414E+16 3.793E+15 8.698E-07 256.3 1027 9.487E+10 1.691E+14 0.000E+00 0.000E+00 51.0 0.000E+00 1.397E+16 3.747E+15 8.592E-07 256.0 1027 9.372E+10 1.670E+14 0.000E+00 0.000E+00 51.1 0.000E+00 1.380E+16 3.701E+15 8.488E-07 255.8 1027 9.258E+10 1.650E+14 0.000E+00 0.000E+00 51.2 0.000E+00 1.363E+16 3.656E+15 8.385E-07 255.6 1027 9.145E+10 1.630E+14 0.000E+00 0.000E+00 51.3 0.000E+00 1.346E+16 3.611E+15 8.283E-07 255.3 1027 9.034E+10 1.610E+14 0.000E+00 0.000E+00 51.4 0.000E+00 1.330E+16 3.568E+15 8.182E-07 255.1 1027 8.924E+10 1.591E+14 0.000E+00 0.000E+00 51.5 0.000E+00 1.314E+16 3.524E+15 8.082E-07 254.9 1027 8.815E+10 1.571E+14 0.000E+00 0.000E+00 51.6 0.000E+00 1.298E+16 3.481E+15 7.984E-07 254.6 1027 8.708E+10 1.552E+14 0.000E+00 0.000E+00 51.7 0.000E+00 1.282E+16 3.439E+15 7.886E-07 254.4 1027 8.602E+10 1.533E+14 0.000E+00 0.000E+00 51.8 0.000E+00 1.266E+16 3.397E+15 7.790E-07 254.1 1027 8.497E+10 1.515E+14 0.000E+00 0.000E+00 51.9 0.000E+00 1.251E+16 3.355E+15 7.695E-07 253.9 1027 8.394E+10 1.496E+14 0.000E+00 0.000E+00 52.0 0.000E+00 1.236E+16 3.315E+15 7.601E-07 253.7 1027 8.291E+10 1.478E+14 0.000E+00 0.000E+00 52.1 0.000E+00 1.220E+16 3.274E+15 7.509E-07 253.4 1027 8.190E+10 1.460E+14 0.000E+00 0.000E+00 52.2 0.000E+00 1.206E+16 3.234E+15 7.417E-07 253.2 1027 8.090E+10 1.442E+14 0.000E+00 0.000E+00 52.3 0.000E+00 1.191E+16 3.195E+15 7.326E-07 252.9 1027 7.991E+10 1.424E+14 0.000E+00 0.000E+00 52.4 0.000E+00 1.176E+16 3.155E+15 7.237E-07 252.7 1027 7.893E+10 1.407E+14 0.000E+00 0.000E+00 52.5 0.000E+00 1.162E+16 3.117E+15 7.148E-07 252.4 1027 7.797E+10 1.390E+14 0.000E+00 0.000E+00 52.6 0.000E+00 1.148E+16 3.079E+15 7.061E-07 252.2 1027 7.701E+10 1.373E+14 0.000E+00 0.000E+00 52.7 0.000E+00 1.134E+16 3.041E+15 6.974E-07 251.9 1027 7.607E+10 1.356E+14 0.000E+00 0.000E+00 52.8 0.000E+00 1.120E+16 3.004E+15 6.889E-07 251.7 1027 7.514E+10 1.339E+14 0.000E+00 0.000E+00 52.9 0.000E+00 1.106E+16 2.967E+15 6.804E-07 251.4 1027 7.421E+10 1.323E+14 0.000E+00 0.000E+00 53.0 0.000E+00 1.092E+16 2.930E+15 6.721E-07 251.2 1027 7.330E+10 1.307E+14 0.000E+00 0.000E+00 53.1 0.000E+00 1.079E+16 2.894E+15 6.638E-07 250.9 1027 7.240E+10 1.291E+14 0.000E+00 0.000E+00 53.2 0.000E+00 1.066E+16 2.859E+15 6.556E-07 250.6 1027 7.151E+10 1.275E+14 0.000E+00 0.000E+00 53.3 0.000E+00 1.053E+16 2.824E+15 6.476E-07 250.4 1027 7.063E+10 1.259E+14 0.000E+00 0.000E+00 53.4 0.000E+00 1.040E+16 2.789E+15 6.396E-07 250.1 1027 6.976E+10 1.243E+14 0.000E+00 0.000E+00 53.5 0.000E+00 1.027E+16 2.754E+15 6.317E-07 249.9 1027 6.890E+10 1.228E+14 0.000E+00 0.000E+00 53.6 0.000E+00 1.014E+16 2.720E+15 6.239E-07 249.6 1027 6.805E+10 1.213E+14 0.000E+00 0.000E+00 53.7 0.000E+00 1.002E+16 2.687E+15 6.162E-07 249.4 1027 6.721E+10 1.198E+14 0.000E+00 0.000E+00 53.8 0.000E+00 9.891E+15 2.654E+15 6.086E-07 249.1 1027 6.638E+10 1.183E+14 0.000E+00 0.000E+00 53.9 0.000E+00 9.769E+15 2.621E+15 6.010E-07 248.9 1027 6.556E+10 1.168E+14 0.000E+00 0.000E+00 54.0 0.000E+00 9.648E+15 2.588E+15 5.936E-07 248.6 1027 6.474E+10 1.154E+14 0.000E+00 0.000E+00 54.1 0.000E+00 9.528E+15 2.556E+15 5.862E-07 248.4 1027 6.394E+10 1.140E+14 0.000E+00 0.000E+00 54.2 0.000E+00 9.410E+15 2.524E+15 5.789E-07 248.1 1027 6.315E+10 1.126E+14 0.000E+00 0.000E+00 54.3 0.000E+00 9.293E+15 2.493E+15 5.717E-07 247.8 1027 6.236E+10 1.112E+14 0.000E+00 0.000E+00 54.4 0.000E+00 9.177E+15 2.462E+15 5.646E-07 247.6 1027 6.158E+10 1.098E+14 0.000E+00 0.000E+00 54.5 0.000E+00 9.063E+15 2.431E+15 5.576E-07 247.3 1027 6.082E+10 1.084E+14 0.000E+00 0.000E+00 54.6 0.000E+00 8.950E+15 2.401E+15 5.506E-07 247.1 1027 6.006E+10 1.071E+14 0.000E+00 0.000E+00 54.7 0.000E+00 8.838E+15 2.371E+15 5.437E-07 246.8 1027 5.931E+10 1.057E+14 0.000E+00 0.000E+00 54.8 0.000E+00 8.727E+15 2.341E+15 5.369E-07 246.6 1027 5.857E+10 1.044E+14 0.000E+00 0.000E+00 54.9 0.000E+00 8.618E+15 2.312E+15 5.302E-07 246.3 1027 5.783E+10 1.031E+14 0.000E+00 0.000E+00 55.0 0.000E+00 8.510E+15 2.283E+15 5.236E-07 246.1 1027 5.711E+10 1.018E+14 0.000E+00 0.000E+00 55.1 0.000E+00 8.403E+15 2.254E+15 5.170E-07 245.8 1027 5.639E+10 1.005E+14 0.000E+00 0.000E+00 55.2 0.000E+00 8.298E+15 2.226E+15 5.105E-07 245.6 1027 5.568E+10 9.925E+13 0.000E+00 0.000E+00 55.3 0.000E+00 8.193E+15 2.198E+15 5.041E-07 245.3 1027 5.498E+10 9.800E+13 0.000E+00 0.000E+00 55.4 0.000E+00 8.090E+15 2.170E+15 4.977E-07 245.1 1027 5.429E+10 9.677E+13 0.000E+00 0.000E+00 55.5 0.000E+00 7.988E+15 2.143E+15 4.914E-07 244.8 1027 5.360E+10 9.555E+13 0.000E+00 0.000E+00 55.6 0.000E+00 7.887E+15 2.116E+15 4.852E-07 244.6 1027 5.293E+10 9.434E+13 0.000E+00 0.000E+00 55.7 0.000E+00 7.787E+15 2.089E+15 4.791E-07 244.3 1027 5.226E+10 9.315E+13 0.000E+00 0.000E+00 55.8 0.000E+00 7.689E+15 2.063E+15 4.730E-07 244.1 1027 5.160E+10 9.197E+13 0.000E+00 0.000E+00 55.9 0.000E+00 7.591E+15 2.036E+15 4.670E-07 243.9 1027 5.094E+10 9.080E+13 0.000E+00 0.000E+00 56.0 0.000E+00 7.495E+15 2.011E+15 4.611E-07 243.6 1027 5.030E+10 8.965E+13 0.000E+00 0.000E+00 56.1 0.000E+00 7.399E+15 1.985E+15 4.553E-07 243.4 1027 4.966E+10 8.851E+13 0.000E+00 0.000E+00 56.2 0.000E+00 7.305E+15 1.960E+15 4.495E-07 243.1 1027 4.902E+10 8.738E+13 0.000E+00 0.000E+00 56.3 0.000E+00 7.212E+15 1.935E+15 4.437E-07 242.9 1027 4.840E+10 8.627E+13 0.000E+00 0.000E+00 56.4 0.000E+00 7.120E+15 1.910E+15 4.381E-07 242.7 1027 4.778E+10 8.517E+13 0.000E+00 0.000E+00 56.5 0.000E+00 7.029E+15 1.886E+15 4.325E-07 242.4 1027 4.717E+10 8.408E+13 0.000E+00 0.000E+00 56.6 0.000E+00 6.939E+15 1.862E+15 4.269E-07 242.2 1027 4.657E+10 8.301E+13 0.000E+00 0.000E+00 56.7 0.000E+00 6.851E+15 1.838E+15 4.215E-07 242.0 1027 4.597E+10 8.194E+13 0.000E+00 0.000E+00 56.8 0.000E+00 6.763E+15 1.814E+15 4.161E-07 241.7 1027 4.538E+10 8.089E+13 0.000E+00 0.000E+00 56.9 0.000E+00 6.676E+15 1.791E+15 4.107E-07 241.5 1027 4.480E+10 7.985E+13 0.000E+00 0.000E+00 57.0 0.000E+00 6.590E+15 1.768E+15 4.055E-07 241.3 1027 4.422E+10 7.883E+13 0.000E+00 0.000E+00 57.1 0.000E+00 6.505E+15 1.745E+15 4.002E-07 241.0 1027 4.366E+10 7.781E+13 0.000E+00 0.000E+00 57.2 0.000E+00 6.422E+15 1.723E+15 3.951E-07 240.8 1027 4.309E+10 7.681E+13 0.000E+00 0.000E+00 57.3 0.000E+00 6.339E+15 1.700E+15 3.900E-07 240.6 1027 4.254E+10 7.582E+13 0.000E+00 0.000E+00 57.4 0.000E+00 6.257E+15 1.679E+15 3.850E-07 240.3 1027 4.199E+10 7.484E+13 0.000E+00 0.000E+00 57.5 0.000E+00 6.176E+15 1.657E+15 3.800E-07 240.1 1027 4.145E+10 7.387E+13 0.000E+00 0.000E+00 57.6 0.000E+00 6.096E+15 1.635E+15 3.751E-07 239.9 1027 4.091E+10 7.292E+13 0.000E+00 0.000E+00 57.7 0.000E+00 6.017E+15 1.614E+15 3.702E-07 239.7 1027 4.038E+10 7.197E+13 0.000E+00 0.000E+00 57.8 0.000E+00 5.939E+15 1.593E+15 3.654E-07 239.4 1027 3.985E+10 7.104E+13 0.000E+00 0.000E+00 57.9 0.000E+00 5.862E+15 1.573E+15 3.606E-07 239.2 1027 3.934E+10 7.012E+13 0.000E+00 0.000E+00 58.0 0.000E+00 5.786E+15 1.552E+15 3.560E-07 239.0 1027 3.883E+10 6.920E+13 0.000E+00 0.000E+00 58.1 0.000E+00 5.710E+15 1.532E+15 3.513E-07 238.8 1027 3.832E+10 6.830E+13 0.000E+00 0.000E+00 58.2 0.000E+00 5.636E+15 1.512E+15 3.467E-07 238.5 1027 3.782E+10 6.741E+13 0.000E+00 0.000E+00 58.3 0.000E+00 5.562E+15 1.492E+15 3.422E-07 238.3 1027 3.733E+10 6.653E+13 0.000E+00 0.000E+00 58.4 0.000E+00 5.489E+15 1.473E+15 3.377E-07 238.1 1027 3.684E+10 6.566E+13 0.000E+00 0.000E+00 58.5 0.000E+00 5.418E+15 1.453E+15 3.333E-07 237.9 1027 3.636E+10 6.480E+13 0.000E+00 0.000E+00 58.6 0.000E+00 5.347E+15 1.434E+15 3.290E-07 237.7 1027 3.588E+10 6.395E+13 0.000E+00 0.000E+00 58.7 0.000E+00 5.277E+15 1.416E+15 3.246E-07 237.5 1027 3.541E+10 6.312E+13 0.000E+00 0.000E+00 58.8 0.000E+00 5.207E+15 1.397E+15 3.204E-07 237.2 1027 3.494E+10 6.229E+13 0.000E+00 0.000E+00 58.9 0.000E+00 5.139E+15 1.379E+15 3.162E-07 237.0 1027 3.448E+10 6.147E+13 0.000E+00 0.000E+00 59.0 0.000E+00 5.071E+15 1.360E+15 3.120E-07 236.8 1027 3.403E+10 6.066E+13 0.000E+00 0.000E+00 59.1 0.000E+00 5.004E+15 1.343E+15 3.079E-07 236.6 1027 3.358E+10 5.986E+13 0.000E+00 0.000E+00 59.2 0.000E+00 4.938E+15 1.325E+15 3.038E-07 236.4 1027 3.314E+10 5.907E+13 0.000E+00 0.000E+00 59.3 0.000E+00 4.873E+15 1.307E+15 2.998E-07 236.2 1027 3.270E+10 5.829E+13 0.000E+00 0.000E+00 59.4 0.000E+00 4.809E+15 1.290E+15 2.958E-07 236.0 1027 3.227E+10 5.752E+13 0.000E+00 0.000E+00 59.5 0.000E+00 4.745E+15 1.273E+15 2.919E-07 235.8 1027 3.184E+10 5.676E+13 0.000E+00 0.000E+00 59.6 0.000E+00 4.682E+15 1.256E+15 2.881E-07 235.6 1027 3.142E+10 5.600E+13 0.000E+00 0.000E+00 59.7 0.000E+00 4.620E+15 1.239E+15 2.842E-07 235.4 1027 3.100E+10 5.526E+13 0.000E+00 0.000E+00 59.8 0.000E+00 4.558E+15 1.223E+15 2.805E-07 235.2 1027 3.059E+10 5.453E+13 0.000E+00 0.000E+00 59.9 0.000E+00 4.498E+15 1.207E+15 2.767E-07 235.0 1027 3.018E+10 5.380E+13 0.000E+00 0.000E+00 60.0 0.000E+00 4.438E+15 1.191E+15 2.730E-07 234.7 1027 2.978E+10 5.308E+13 0.000E+00 0.000E+00 60.1 0.000E+00 4.379E+15 1.175E+15 2.694E-07 234.5 1027 2.938E+10 5.238E+13 0.000E+00 0.000E+00 60.2 0.000E+00 4.320E+15 1.159E+15 2.658E-07 234.3 1027 2.899E+10 5.168E+13 0.000E+00 0.000E+00 60.3 0.000E+00 4.263E+15 1.144E+15 2.623E-07 234.1 1027 2.860E+10 5.099E+13 0.000E+00 0.000E+00 60.4 0.000E+00 4.206E+15 1.128E+15 2.587E-07 234.0 1027 2.822E+10 5.030E+13 0.000E+00 0.000E+00 60.5 0.000E+00 4.149E+15 1.113E+15 2.553E-07 233.8 1027 2.784E+10 4.963E+13 0.000E+00 0.000E+00 60.6 0.000E+00 4.094E+15 1.098E+15 2.519E-07 233.6 1027 2.747E+10 4.897E+13 0.000E+00 0.000E+00 60.7 0.000E+00 4.039E+15 1.083E+15 2.485E-07 233.4 1027 2.710E+10 4.831E+13 0.000E+00 0.000E+00 60.8 0.000E+00 3.984E+15 1.069E+15 2.451E-07 233.2 1027 2.674E+10 4.766E+13 0.000E+00 0.000E+00 60.9 0.000E+00 3.931E+15 1.054E+15 2.418E-07 233.0 1027 2.638E+10 4.702E+13 0.000E+00 0.000E+00 61.0 0.000E+00 3.878E+15 1.040E+15 2.386E-07 232.8 1027 2.602E+10 4.638E+13 0.000E+00 0.000E+00 61.1 0.000E+00 3.825E+15 1.026E+15 2.354E-07 232.6 1027 2.567E+10 4.576E+13 0.000E+00 0.000E+00 61.2 0.000E+00 3.774E+15 1.012E+15 2.322E-07 232.4 1027 2.532E+10 4.514E+13 0.000E+00 0.000E+00 61.3 0.000E+00 3.723E+15 9.987E+14 2.290E-07 232.2 1027 2.498E+10 4.453E+13 0.000E+00 0.000E+00 61.4 0.000E+00 3.672E+15 9.852E+14 2.259E-07 232.0 1027 2.464E+10 4.393E+13 0.000E+00 0.000E+00 61.5 0.000E+00 3.623E+15 9.718E+14 2.229E-07 231.8 1027 2.431E+10 4.333E+13 0.000E+00 0.000E+00 61.6 0.000E+00 3.574E+15 9.587E+14 2.199E-07 231.7 1027 2.398E+10 4.274E+13 0.000E+00 0.000E+00 61.7 0.000E+00 3.525E+15 9.457E+14 2.169E-07 231.5 1027 2.366E+10 4.216E+13 0.000E+00 0.000E+00 61.8 0.000E+00 3.477E+15 9.328E+14 2.139E-07 231.3 1027 2.333E+10 4.159E+13 0.000E+00 0.000E+00 61.9 0.000E+00 3.430E+15 9.201E+14 2.110E-07 231.1 1027 2.302E+10 4.103E+13 0.000E+00 0.000E+00 62.0 0.000E+00 3.383E+15 9.076E+14 2.081E-07 230.9 1027 2.270E+10 4.047E+13 0.000E+00 0.000E+00 62.1 0.000E+00 3.337E+15 8.952E+14 2.053E-07 230.8 1027 2.239E+10 3.991E+13 0.000E+00 0.000E+00 62.2 0.000E+00 3.291E+15 8.830E+14 2.025E-07 230.6 1027 2.209E+10 3.937E+13 0.000E+00 0.000E+00 62.3 0.000E+00 3.246E+15 8.709E+14 1.997E-07 230.4 1027 2.179E+10 3.883E+13 0.000E+00 0.000E+00 62.4 0.000E+00 3.202E+15 8.590E+14 1.970E-07 230.2 1027 2.149E+10 3.830E+13 0.000E+00 0.000E+00 62.5 0.000E+00 3.158E+15 8.472E+14 1.943E-07 230.0 1027 2.119E+10 3.778E+13 0.000E+00 0.000E+00 62.6 0.000E+00 3.115E+15 8.354E+14 1.916E-07 229.9 1027 2.091E+10 3.726E+13 0.000E+00 0.000E+00 62.7 0.000E+00 3.072E+15 8.237E+14 1.890E-07 229.7 1027 2.062E+10 3.674E+13 0.000E+00 0.000E+00 62.8 0.000E+00 3.030E+15 8.122E+14 1.864E-07 229.5 1027 2.034E+10 3.624E+13 0.000E+00 0.000E+00 62.9 0.000E+00 2.988E+15 8.008E+14 1.838E-07 229.4 1027 2.007E+10 3.574E+13 0.000E+00 0.000E+00 63.0 0.000E+00 2.947E+15 7.895E+14 1.813E-07 229.2 1027 1.979E+10 3.525E+13 0.000E+00 0.000E+00 63.1 0.000E+00 2.906E+15 7.784E+14 1.787E-07 229.0 1027 1.952E+10 3.476E+13 0.000E+00 0.000E+00 63.2 0.000E+00 2.866E+15 7.675E+14 1.763E-07 228.9 1027 1.926E+10 3.428E+13 0.000E+00 0.000E+00 63.3 0.000E+00 2.827E+15 7.567E+14 1.738E-07 228.7 1027 1.899E+10 3.381E+13 0.000E+00 0.000E+00 63.4 0.000E+00 2.788E+15 7.460E+14 1.714E-07 228.5 1027 1.873E+10 3.334E+13 0.000E+00 0.000E+00 63.5 0.000E+00 2.749E+15 7.355E+14 1.690E-07 228.4 1027 1.848E+10 3.287E+13 0.000E+00 0.000E+00 63.6 0.000E+00 2.711E+15 7.251E+14 1.667E-07 228.2 1027 1.823E+10 3.242E+13 0.000E+00 0.000E+00 63.7 0.000E+00 2.673E+15 7.149E+14 1.644E-07 228.0 1027 1.798E+10 3.197E+13 0.000E+00 0.000E+00 63.8 0.000E+00 2.636E+15 7.048E+14 1.621E-07 227.9 1027 1.773E+10 3.152E+13 0.000E+00 0.000E+00 63.9 0.000E+00 2.600E+15 6.948E+14 1.598E-07 227.7 1027 1.749E+10 3.108E+13 0.000E+00 0.000E+00 64.0 0.000E+00 2.563E+15 6.849E+14 1.576E-07 227.6 1027 1.724E+10 3.065E+13 0.000E+00 0.000E+00 64.1 0.000E+00 2.528E+15 6.752E+14 1.554E-07 227.4 1027 1.701E+10 3.022E+13 0.000E+00 0.000E+00 64.2 0.000E+00 2.492E+15 6.656E+14 1.532E-07 227.3 1027 1.677E+10 2.980E+13 0.000E+00 0.000E+00 64.3 0.000E+00 2.458E+15 6.561E+14 1.510E-07 227.1 1027 1.654E+10 2.938E+13 0.000E+00 0.000E+00 64.4 0.000E+00 2.423E+15 6.468E+14 1.489E-07 227.0 1027 1.631E+10 2.897E+13 0.000E+00 0.000E+00 64.5 0.000E+00 2.389E+15 6.376E+14 1.468E-07 226.8 1027 1.609E+10 2.857E+13 0.000E+00 0.000E+00 64.6 0.000E+00 2.356E+15 6.285E+14 1.448E-07 226.7 1027 1.587E+10 2.817E+13 0.000E+00 0.000E+00 64.7 0.000E+00 2.323E+15 6.195E+14 1.427E-07 226.5 1027 1.565E+10 2.777E+13 0.000E+00 0.000E+00 64.8 0.000E+00 2.290E+15 6.107E+14 1.407E-07 226.4 1027 1.543E+10 2.738E+13 0.000E+00 0.000E+00 64.9 0.000E+00 2.258E+15 6.019E+14 1.387E-07 226.2 1027 1.521E+10 2.700E+13 0.000E+00 0.000E+00 65.0 0.000E+00 2.227E+15 5.933E+14 1.368E-07 226.1 1027 1.500E+10 2.662E+13 0.000E+00 0.000E+00 65.1 0.000E+00 2.195E+15 5.848E+14 1.348E-07 225.9 1027 1.479E+10 2.624E+13 0.000E+00 0.000E+00 65.2 0.000E+00 2.164E+15 5.764E+14 1.329E-07 225.8 1027 1.459E+10 2.587E+13 0.000E+00 0.000E+00 65.3 0.000E+00 2.134E+15 5.681E+14 1.311E-07 225.6 1027 1.439E+10 2.551E+13 0.000E+00 0.000E+00 65.4 0.000E+00 2.104E+15 5.600E+14 1.292E-07 225.5 1027 1.418E+10 2.515E+13 0.000E+00 0.000E+00 65.5 0.000E+00 2.074E+15 5.519E+14 1.274E-07 225.4 1027 1.399E+10 2.479E+13 0.000E+00 0.000E+00 65.6 0.000E+00 2.045E+15 5.440E+14 1.256E-07 225.2 1027 1.379E+10 2.444E+13 0.000E+00 0.000E+00 65.7 0.000E+00 2.016E+15 5.361E+14 1.238E-07 225.1 1027 1.360E+10 2.409E+13 0.000E+00 0.000E+00 65.8 0.000E+00 1.987E+15 5.284E+14 1.220E-07 224.9 1027 1.341E+10 2.375E+13 0.000E+00 0.000E+00 65.9 0.000E+00 1.959E+15 5.207E+14 1.203E-07 224.8 1027 1.322E+10 2.341E+13 0.000E+00 0.000E+00 66.0 0.000E+00 1.931E+15 5.132E+14 1.186E-07 224.7 1027 1.303E+10 2.308E+13 0.000E+00 0.000E+00 66.1 0.000E+00 1.904E+15 5.058E+14 1.169E-07 224.6 1027 1.285E+10 2.275E+13 0.000E+00 0.000E+00 66.2 0.000E+00 1.877E+15 4.985E+14 1.152E-07 224.4 1027 1.267E+10 2.243E+13 0.000E+00 0.000E+00 66.3 0.000E+00 1.850E+15 4.912E+14 1.136E-07 224.3 1027 1.249E+10 2.211E+13 0.000E+00 0.000E+00 66.4 0.000E+00 1.824E+15 4.841E+14 1.119E-07 224.2 1027 1.232E+10 2.179E+13 0.000E+00 0.000E+00 66.5 0.000E+00 1.798E+15 4.771E+14 1.103E-07 224.0 1027 1.214E+10 2.148E+13 0.000E+00 0.000E+00 66.6 0.000E+00 1.772E+15 4.701E+14 1.087E-07 223.9 1027 1.197E+10 2.117E+13 0.000E+00 0.000E+00 66.7 0.000E+00 1.747E+15 4.633E+14 1.072E-07 223.8 1027 1.180E+10 2.087E+13 0.000E+00 0.000E+00 66.8 0.000E+00 1.722E+15 4.566E+14 1.056E-07 223.7 1027 1.164E+10 2.057E+13 0.000E+00 0.000E+00 66.9 0.000E+00 1.697E+15 4.499E+14 1.041E-07 223.5 1027 1.147E+10 2.028E+13 0.000E+00 0.000E+00 67.0 0.000E+00 1.673E+15 4.433E+14 1.026E-07 223.4 1027 1.131E+10 1.999E+13 0.000E+00 0.000E+00 67.1 0.000E+00 1.649E+15 4.369E+14 1.012E-07 223.3 1027 1.115E+10 1.970E+13 0.000E+00 0.000E+00 67.2 0.000E+00 1.625E+15 4.305E+14 9.970E-08 223.2 1027 1.099E+10 1.942E+13 0.000E+00 0.000E+00 67.3 0.000E+00 1.602E+15 4.242E+14 9.826E-08 223.1 1027 1.083E+10 1.914E+13 0.000E+00 0.000E+00 67.4 0.000E+00 1.579E+15 4.180E+14 9.684E-08 223.0 1027 1.068E+10 1.886E+13 0.000E+00 0.000E+00 67.5 0.000E+00 1.556E+15 4.119E+14 9.544E-08 222.8 1027 1.053E+10 1.859E+13 0.000E+00 0.000E+00 67.6 0.000E+00 1.534E+15 4.058E+14 9.406E-08 222.7 1027 1.038E+10 1.832E+13 0.000E+00 0.000E+00 67.7 0.000E+00 1.512E+15 3.999E+14 9.270E-08 222.6 1027 1.023E+10 1.806E+13 0.000E+00 0.000E+00 67.8 0.000E+00 1.490E+15 3.940E+14 9.136E-08 222.5 1027 1.008E+10 1.780E+13 0.000E+00 0.000E+00 67.9 0.000E+00 1.468E+15 3.882E+14 9.003E-08 222.4 1027 9.941E+09 1.754E+13 0.000E+00 0.000E+00 68.0 0.000E+00 1.447E+15 3.825E+14 8.873E-08 222.3 1027 9.799E+09 1.729E+13 0.000E+00 0.000E+00 68.1 0.000E+00 1.426E+15 3.768E+14 8.744E-08 222.2 1027 9.658E+09 1.704E+13 0.000E+00 0.000E+00 68.2 0.000E+00 1.406E+15 3.713E+14 8.617E-08 222.1 1027 9.520E+09 1.679E+13 0.000E+00 0.000E+00 68.3 0.000E+00 1.385E+15 3.658E+14 8.491E-08 222.0 1027 9.384E+09 1.655E+13 0.000E+00 0.000E+00 68.4 0.000E+00 1.365E+15 3.604E+14 8.368E-08 221.9 1027 9.249E+09 1.630E+13 0.000E+00 0.000E+00 68.5 0.000E+00 1.345E+15 3.551E+14 8.246E-08 221.8 1027 9.117E+09 1.607E+13 0.000E+00 0.000E+00 68.6 0.000E+00 1.326E+15 3.498E+14 8.126E-08 221.7 1027 8.986E+09 1.583E+13 0.000E+00 0.000E+00 68.7 0.000E+00 1.307E+15 3.447E+14 8.007E-08 221.6 1027 8.857E+09 1.560E+13 0.000E+00 0.000E+00 68.8 0.000E+00 1.288E+15 3.396E+14 7.890E-08 221.5 1027 8.729E+09 1.538E+13 0.000E+00 0.000E+00 68.9 0.000E+00 1.269E+15 3.345E+14 7.775E-08 221.4 1027 8.604E+09 1.515E+13 0.000E+00 0.000E+00 69.0 0.000E+00 1.250E+15 3.296E+14 7.661E-08 221.3 1027 8.480E+09 1.493E+13 0.000E+00 0.000E+00 69.1 0.000E+00 1.232E+15 3.247E+14 7.549E-08 221.2 1027 8.357E+09 1.471E+13 0.000E+00 0.000E+00 69.2 0.000E+00 1.214E+15 3.198E+14 7.438E-08 221.1 1027 8.237E+09 1.450E+13 0.000E+00 0.000E+00 69.3 0.000E+00 1.196E+15 3.151E+14 7.329E-08 221.0 1027 8.118E+09 1.429E+13 0.000E+00 0.000E+00 69.4 0.000E+00 1.179E+15 3.104E+14 7.222E-08 220.9 1027 8.001E+09 1.408E+13 0.000E+00 0.000E+00 69.5 0.000E+00 1.162E+15 3.058E+14 7.116E-08 220.9 1027 7.885E+09 1.387E+13 0.000E+00 0.000E+00 69.6 0.000E+00 1.145E+15 3.012E+14 7.011E-08 220.8 1027 7.771E+09 1.367E+13 0.000E+00 0.000E+00 69.7 0.000E+00 1.128E+15 2.967E+14 6.908E-08 220.7 1027 7.658E+09 1.347E+13 0.000E+00 0.000E+00 69.8 0.000E+00 1.111E+15 2.923E+14 6.806E-08 220.6 1027 7.547E+09 1.327E+13 0.000E+00 0.000E+00 69.9 0.000E+00 1.095E+15 2.879E+14 6.706E-08 220.5 1027 7.438E+09 1.307E+13 0.000E+00 0.000E+00 70.0 0.000E+00 1.079E+15 2.836E+14 6.607E-08 220.4 1027 7.330E+09 1.288E+13 0.000E+00 0.000E+00 70.1 0.000E+00 1.063E+15 2.794E+14 6.510E-08 220.4 1027 7.223E+09 1.269E+13 0.000E+00 0.000E+00 70.2 0.000E+00 1.047E+15 2.752E+14 6.414E-08 220.3 1027 7.118E+09 1.251E+13 0.000E+00 0.000E+00 70.3 0.000E+00 1.032E+15 2.711E+14 6.319E-08 220.2 1027 7.014E+09 1.232E+13 0.000E+00 0.000E+00 70.4 0.000E+00 1.017E+15 2.670E+14 6.225E-08 220.1 1027 6.912E+09 1.214E+13 0.000E+00 0.000E+00 70.5 0.000E+00 1.002E+15 2.630E+14 6.133E-08 220.1 1027 6.812E+09 1.196E+13 0.000E+00 0.000E+00 70.6 0.000E+00 9.871E+14 2.591E+14 6.043E-08 220.0 1027 6.712E+09 1.178E+13 0.000E+00 0.000E+00 70.7 0.000E+00 9.726E+14 2.552E+14 5.953E-08 219.9 1027 6.614E+09 1.161E+13 0.000E+00 0.000E+00 70.8 0.000E+00 9.582E+14 2.513E+14 5.865E-08 219.9 1027 6.518E+09 1.144E+13 0.000E+00 0.000E+00 70.9 0.000E+00 9.440E+14 2.475E+14 5.778E-08 219.8 1027 6.422E+09 1.127E+13 0.000E+00 0.000E+00 71.0 0.000E+00 9.301E+14 2.438E+14 5.692E-08 219.7 1027 6.328E+09 1.110E+13 0.000E+00 0.000E+00 71.1 0.000E+00 9.163E+14 2.401E+14 5.607E-08 219.7 1027 6.236E+09 1.094E+13 0.000E+00 0.000E+00 71.2 0.000E+00 9.028E+14 2.365E+14 5.524E-08 219.6 1027 6.144E+09 1.077E+13 0.000E+00 0.000E+00 71.3 0.000E+00 8.894E+14 2.330E+14 5.442E-08 219.5 1027 6.054E+09 1.061E+13 0.000E+00 0.000E+00 71.4 0.000E+00 8.762E+14 2.294E+14 5.361E-08 219.5 1027 5.966E+09 1.046E+13 0.000E+00 0.000E+00 71.5 0.000E+00 8.632E+14 2.260E+14 5.281E-08 219.4 1027 5.878E+09 1.030E+13 0.000E+00 0.000E+00 71.6 0.000E+00 8.504E+14 2.226E+14 5.202E-08 219.4 1027 5.792E+09 1.015E+13 0.000E+00 0.000E+00 71.7 0.000E+00 8.377E+14 2.192E+14 5.125E-08 219.3 1027 5.707E+09 9.998E+12 0.000E+00 0.000E+00 71.8 0.000E+00 8.253E+14 2.159E+14 5.048E-08 219.2 1027 5.623E+09 9.849E+12 0.000E+00 0.000E+00 71.9 0.000E+00 8.130E+14 2.126E+14 4.973E-08 219.2 1027 5.540E+09 9.702E+12 0.000E+00 0.000E+00 72.0 0.000E+00 8.009E+14 2.094E+14 4.898E-08 219.1 1027 5.458E+09 9.557E+12 0.000E+00 0.000E+00 72.1 0.000E+00 7.890E+14 2.062E+14 4.825E-08 219.1 1027 5.378E+09 9.415E+12 0.000E+00 0.000E+00 72.2 0.000E+00 7.772E+14 2.031E+14 4.753E-08 219.0 1027 5.299E+09 9.274E+12 0.000E+00 0.000E+00 72.3 0.000E+00 7.656E+14 2.000E+14 4.682E-08 219.0 1027 5.220E+09 9.136E+12 0.000E+00 0.000E+00 72.4 0.000E+00 7.542E+14 1.969E+14 4.611E-08 219.0 1027 5.143E+09 8.999E+12 0.000E+00 0.000E+00 72.6 6.109E+06 7.324E+14 1.912E+14 4.478E-08 218.9 1027 4.997E+09 8.739E+12 3.005E-29 2.674E+04 72.7 6.724E+06 7.215E+14 1.883E+14 4.411E-08 218.8 1027 4.923E+09 8.608E+12 1.355E-27 2.694E+04 72.8 7.401E+06 7.107E+14 1.854E+14 4.345E-08 218.8 1027 4.851E+09 8.479E+12 5.209E-26 2.715E+04 72.9 8.145E+06 7.001E+14 1.826E+14 4.280E-08 218.7 1027 4.780E+09 8.352E+12 1.718E-24 2.735E+04 73.0 8.962E+06 6.896E+14 1.798E+14 4.215E-08 218.7 1027 4.710E+09 8.227E+12 4.888E-23 2.756E+04 73.1 9.861E+06 6.793E+14 1.771E+14 4.152E-08 218.6 1027 4.640E+09 8.104E+12 1.206E-21 2.777E+04 73.2 1.085E+07 6.692E+14 1.744E+14 4.090E-08 218.6 1027 4.572E+09 7.983E+12 2.595E-20 2.798E+04 73.3 1.193E+07 6.592E+14 1.718E+14 4.029E-08 218.5 1027 4.505E+09 7.863E+12 4.893E-19 2.819E+04 73.4 1.312E+07 6.494E+14 1.692E+14 3.969E-08 218.5 1027 4.439E+09 7.746E+12 8.130E-18 2.841E+04 73.5 1.443E+07 6.397E+14 1.666E+14 3.909E-08 218.4 1027 4.374E+09 7.630E+12 1.196E-16 2.863E+04 73.6 1.587E+07 6.302E+14 1.641E+14 3.851E-08 218.4 1027 4.310E+09 7.516E+12 1.564E-15 2.885E+04 73.7 1.744E+07 6.208E+14 1.616E+14 3.793E-08 218.3 1027 4.247E+09 7.403E+12 1.829E-14 2.907E+04 73.8 1.917E+07 6.115E+14 1.592E+14 3.736E-08 218.3 1027 4.185E+09 7.292E+12 1.919E-13 2.929E+04 73.9 2.106E+07 6.024E+14 1.568E+14 3.680E-08 218.2 1027 4.124E+09 7.183E+12 1.815E-12 2.952E+04 74.0 2.314E+07 5.934E+14 1.544E+14 3.625E-08 218.1 1027 4.063E+09 7.076E+12 1.555E-11 2.975E+04 74.1 2.542E+07 5.846E+14 1.521E+14 3.571E-08 218.1 1027 4.004E+09 6.970E+12 1.211E-10 2.998E+04 74.2 2.792E+07 5.758E+14 1.498E+14 3.518E-08 218.0 1027 3.945E+09 6.866E+12 8.601E-10 3.021E+04 74.3 3.065E+07 5.673E+14 1.475E+14 3.465E-08 218.0 1027 3.888E+09 6.763E+12 5.598E-09 3.044E+04 74.4 3.365E+07 5.588E+14 1.453E+14 3.413E-08 217.9 1027 3.831E+09 6.662E+12 3.350E-08 3.068E+04 74.5 3.692E+07 5.505E+14 1.431E+14 3.362E-08 217.8 1027 3.775E+09 6.563E+12 1.850E-07 3.092E+04 74.6 4.051E+07 5.423E+14 1.409E+14 3.312E-08 217.8 1027 3.720E+09 6.464E+12 9.454E-07 3.116E+04 74.7 4.444E+07 5.342E+14 1.388E+14 3.262E-08 217.7 1027 3.666E+09 6.368E+12 4.488E-06 3.141E+04 74.8 4.873E+07 5.262E+14 1.367E+14 3.214E-08 217.6 1027 3.612E+09 6.273E+12 1.985E-05 3.165E+04 74.9 5.343E+07 5.184E+14 1.346E+14 3.165E-08 217.6 1027 3.560E+09 6.179E+12 8.207E-05 3.190E+04 75.0 5.856E+07 5.107E+14 1.326E+14 3.118E-08 217.5 1027 3.508E+09 6.087E+12 3.180E-04 3.215E+04 75.1 6.417E+07 5.031E+14 1.306E+14 3.072E-08 217.4 1027 3.457E+09 5.996E+12 1.158E-03 3.241E+04 75.2 7.029E+07 4.956E+14 1.286E+14 3.026E-08 217.4 1027 3.406E+09 5.906E+12 3.975E-03 3.266E+04 75.3 7.698E+07 4.882E+14 1.266E+14 2.980E-08 217.3 1027 3.357E+09 5.818E+12 1.289E-02 3.292E+04 75.4 8.427E+07 4.809E+14 1.247E+14 2.936E-08 217.2 1027 3.308E+09 5.731E+12 3.960E-02 3.318E+04 75.5 9.223E+07 4.738E+14 1.228E+14 2.892E-08 217.1 1027 3.260E+09 5.645E+12 1.155E-01 3.345E+04 75.6 1.009E+08 4.667E+14 1.210E+14 2.849E-08 217.1 1027 3.212E+09 5.561E+12 3.206E-01 3.371E+04 75.7 1.104E+08 4.597E+14 1.191E+14 2.806E-08 217.0 1027 3.166E+09 5.478E+12 8.487E-01 3.398E+04 75.8 1.207E+08 4.529E+14 1.173E+14 2.764E-08 216.9 1027 3.120E+09 5.396E+12 2.147E+00 3.425E+04 75.9 1.319E+08 4.462E+14 1.155E+14 2.723E-08 216.8 1027 3.075E+09 5.315E+12 5.203E+00 3.453E+04 76.0 1.441E+08 4.395E+14 1.138E+14 2.682E-08 216.7 1027 3.030E+09 5.236E+12 1.210E+01 3.480E+04 76.1 1.574E+08 4.330E+14 1.121E+14 2.642E-08 216.7 1027 2.986E+09 5.157E+12 2.704E+01 3.508E+04 76.2 1.719E+08 4.265E+14 1.104E+14 2.603E-08 216.6 1027 2.943E+09 5.080E+12 5.819E+01 3.536E+04 76.3 1.876E+08 4.202E+14 1.087E+14 2.564E-08 216.5 1027 2.900E+09 5.004E+12 1.208E+02 3.565E+04 76.4 2.047E+08 4.139E+14 1.071E+14 2.525E-08 216.4 1027 2.858E+09 4.929E+12 2.423E+02 3.593E+04 76.5 2.233E+08 4.078E+14 1.054E+14 2.488E-08 216.3 1027 2.817E+09 4.856E+12 4.704E+02 3.622E+04 76.6 2.434E+08 4.017E+14 1.038E+14 2.450E-08 216.2 1027 2.776E+09 4.783E+12 8.848E+02 3.652E+04 76.7 2.653E+08 3.957E+14 1.023E+14 2.414E-08 216.1 1027 2.736E+09 4.712E+12 1.615E+03 3.681E+04 76.8 2.891E+08 3.898E+14 1.007E+14 2.378E-08 216.0 1027 2.696E+09 4.641E+12 2.866E+03 3.711E+04 76.9 3.148E+08 3.840E+14 9.918E+13 2.342E-08 215.9 1027 2.657E+09 4.572E+12 4.948E+03 3.741E+04 77.0 3.427E+08 3.783E+14 9.768E+13 2.307E-08 215.9 1027 2.619E+09 4.503E+12 8.324E+03 3.771E+04 77.1 3.729E+08 3.727E+14 9.620E+13 2.273E-08 215.8 1027 2.581E+09 4.436E+12 1.366E+04 3.802E+04 77.2 4.056E+08 3.671E+14 9.474E+13 2.239E-08 215.7 1027 2.544E+09 4.370E+12 2.189E+04 3.833E+04 77.3 4.410E+08 3.617E+14 9.330E+13 2.205E-08 215.6 1027 2.507E+09 4.304E+12 3.428E+04 3.864E+04 77.4 4.793E+08 3.563E+14 9.188E+13 2.172E-08 215.5 1027 2.471E+09 4.240E+12 5.256E+04 3.895E+04 77.5 5.206E+08 3.510E+14 9.049E+13 2.140E-08 215.4 1027 2.435E+09 4.176E+12 7.894E+04 3.927E+04 77.6 5.654E+08 3.457E+14 8.911E+13 2.108E-08 215.3 1027 2.400E+09 4.114E+12 1.162E+05 3.959E+04 77.7 6.136E+08 3.406E+14 8.776E+13 2.076E-08 215.2 1027 2.366E+09 4.052E+12 1.680E+05 3.992E+04 77.8 6.658E+08 3.355E+14 8.643E+13 2.045E-08 215.0 1027 2.332E+09 3.992E+12 2.385E+05 4.024E+04 77.9 7.220E+08 3.305E+14 8.511E+13 2.014E-08 214.9 1027 2.298E+09 3.932E+12 3.329E+05 4.057E+04 78.0 7.826E+08 3.256E+14 8.382E+13 1.984E-08 214.8 1027 2.265E+09 3.873E+12 4.571E+05 4.091E+04 78.1 8.479E+08 3.207E+14 8.255E+13 1.955E-08 214.7 1027 2.232E+09 3.815E+12 6.179E+05 4.124E+04 78.2 9.183E+08 3.160E+14 8.129E+13 1.925E-08 214.6 1027 2.200E+09 3.758E+12 8.232E+05 4.158E+04 78.3 9.940E+08 3.113E+14 8.006E+13 1.897E-08 214.5 1027 2.169E+09 3.702E+12 1.081E+06 4.192E+04 78.4 1.076E+09 3.066E+14 7.884E+13 1.868E-08 214.4 1027 2.138E+09 3.646E+12 1.401E+06 4.227E+04 78.5 1.163E+09 3.021E+14 7.764E+13 1.840E-08 214.3 1027 2.107E+09 3.592E+12 1.792E+06 4.262E+04 78.6 1.257E+09 2.976E+14 7.646E+13 1.813E-08 214.2 1027 2.077E+09 3.538E+12 2.265E+06 4.297E+04 78.7 1.358E+09 2.931E+14 7.529E+13 1.786E-08 214.0 1027 2.047E+09 3.485E+12 2.829E+06 4.333E+04 78.8 1.467E+09 2.888E+14 7.415E+13 1.759E-08 213.9 1027 2.018E+09 3.433E+12 3.495E+06 4.368E+04 78.9 1.584E+09 2.845E+14 7.302E+13 1.732E-08 213.8 1027 1.989E+09 3.381E+12 4.272E+06 4.405E+04 79.0 1.708E+09 2.802E+14 7.191E+13 1.707E-08 213.7 1027 1.960E+09 3.330E+12 5.169E+06 4.441E+04 79.1 1.842E+09 2.760E+14 7.081E+13 1.681E-08 213.6 1027 1.932E+09 3.281E+12 6.194E+06 4.478E+04 79.2 1.986E+09 2.719E+14 6.973E+13 1.656E-08 213.4 1027 1.905E+09 3.231E+12 7.354E+06 4.515E+04 79.3 2.139E+09 2.679E+14 6.867E+13 1.631E-08 213.3 1027 1.877E+09 3.183E+12 8.655E+06 4.552E+04 79.4 2.303E+09 2.639E+14 6.762E+13 1.607E-08 213.2 1027 1.850E+09 3.135E+12 1.010E+07 4.590E+04 79.5 2.479E+09 2.599E+14 6.659E+13 1.582E-08 213.1 1027 1.824E+09 3.088E+12 1.170E+07 4.628E+04 79.6 2.667E+09 2.561E+14 6.557E+13 1.559E-08 212.9 1027 1.798E+09 3.042E+12 1.344E+07 4.667E+04 79.7 2.867E+09 2.522E+14 6.457E+13 1.535E-08 212.8 1027 1.772E+09 2.996E+12 1.534E+07 4.706E+04 79.8 3.081E+09 2.485E+14 6.359E+13 1.512E-08 212.7 1027 1.747E+09 2.951E+12 1.738E+07 4.745E+04 79.9 3.309E+09 2.448E+14 6.262E+13 1.490E-08 212.5 1027 1.722E+09 2.907E+12 1.956E+07 4.785E+04 80.0 3.552E+09 2.411E+14 6.166E+13 1.467E-08 212.4 1027 1.698E+09 2.863E+12 2.188E+07 4.824E+04 80.1 3.811E+09 2.375E+14 6.072E+13 1.445E-08 212.3 1027 1.673E+09 2.820E+12 2.432E+07 4.865E+04 80.2 4.087E+09 2.340E+14 5.979E+13 1.424E-08 212.1 1027 1.650E+09 2.777E+12 2.689E+07 4.905E+04 80.3 4.381E+09 2.305E+14 5.888E+13 1.402E-08 212.0 1027 1.626E+09 2.736E+12 2.957E+07 4.946E+04 80.4 4.693E+09 2.270E+14 5.798E+13 1.381E-08 211.9 1027 1.603E+09 2.695E+12 3.235E+07 4.988E+04 80.5 5.025E+09 2.236E+14 5.709E+13 1.360E-08 211.7 1027 1.580E+09 2.654E+12 3.521E+07 5.029E+04 80.6 5.377E+09 2.203E+14 5.621E+13 1.340E-08 211.6 1027 1.558E+09 2.614E+12 3.815E+07 5.071E+04 80.7 5.751E+09 2.170E+14 5.535E+13 1.320E-08 211.4 1027 1.536E+09 2.575E+12 4.114E+07 5.114E+04 80.8 6.148E+09 2.138E+14 5.451E+13 1.300E-08 211.3 1027 1.514E+09 2.536E+12 4.419E+07 5.157E+04 80.9 6.569E+09 2.106E+14 5.367E+13 1.280E-08 211.1 1027 1.492E+09 2.498E+12 4.726E+07 5.200E+04 81.0 7.015E+09 2.074E+14 5.285E+13 1.261E-08 211.0 1027 1.471E+09 2.460E+12 5.036E+07 5.244E+04 81.1 7.488E+09 2.043E+14 5.204E+13 1.242E-08 210.8 1027 1.451E+09 2.423E+12 5.346E+07 5.288E+04 81.2 7.988E+09 2.013E+14 5.124E+13 1.224E-08 210.7 1027 1.430E+09 2.386E+12 5.655E+07 5.332E+04 81.3 8.517E+09 1.983E+14 5.045E+13 1.205E-08 210.5 1027 1.410E+09 2.350E+12 5.962E+07 5.377E+04 81.4 9.076E+09 1.953E+14 4.968E+13 1.187E-08 210.4 1027 1.390E+09 2.315E+12 6.265E+07 5.422E+04 81.5 9.666E+09 1.924E+14 4.891E+13 1.169E-08 210.2 1027 1.370E+09 2.280E+12 6.564E+07 5.467E+04 81.6 1.029E+10 1.895E+14 4.816E+13 1.152E-08 210.1 1027 1.351E+09 2.245E+12 6.857E+07 5.513E+04 81.7 1.095E+10 1.866E+14 4.742E+13 1.134E-08 209.9 1027 1.332E+09 2.211E+12 7.144E+07 5.559E+04 81.8 1.164E+10 1.839E+14 4.669E+13 1.117E-08 209.7 1027 1.313E+09 2.178E+12 7.423E+07 5.606E+04 81.9 1.237E+10 1.811E+14 4.597E+13 1.100E-08 209.6 1027 1.294E+09 2.145E+12 7.693E+07 5.653E+04 82.0 1.314E+10 1.784E+14 4.527E+13 1.084E-08 209.4 1027 1.276E+09 2.113E+12 7.955E+07 5.701E+04 82.1 1.395E+10 1.757E+14 4.457E+13 1.067E-08 209.3 1027 1.258E+09 2.081E+12 8.206E+07 5.749E+04 82.2 1.480E+10 1.731E+14 4.388E+13 1.051E-08 209.1 1027 1.241E+09 2.049E+12 8.447E+07 5.797E+04 82.3 1.570E+10 1.705E+14 4.320E+13 1.035E-08 208.9 1027 1.223E+09 2.018E+12 8.678E+07 5.846E+04 82.4 1.664E+10 1.679E+14 4.254E+13 1.020E-08 208.8 1027 1.206E+09 1.987E+12 8.896E+07 5.895E+04 82.5 1.763E+10 1.654E+14 4.188E+13 1.004E-08 208.6 1027 1.189E+09 1.957E+12 9.104E+07 5.944E+04 82.6 1.866E+10 1.629E+14 4.123E+13 9.891E-09 208.4 1027 1.172E+09 1.928E+12 9.299E+07 5.994E+04 82.7 1.975E+10 1.605E+14 4.060E+13 9.741E-09 208.3 1027 1.156E+09 1.898E+12 9.483E+07 6.045E+04 82.8 2.089E+10 1.580E+14 3.997E+13 9.594E-09 208.1 1027 1.140E+09 1.870E+12 9.655E+07 6.096E+04 82.9 2.208E+10 1.557E+14 3.935E+13 9.449E-09 207.9 1027 1.124E+09 1.841E+12 9.814E+07 6.147E+04 83.0 2.333E+10 1.533E+14 3.874E+13 9.306E-09 207.7 1027 1.108E+09 1.813E+12 9.961E+07 6.199E+04 83.1 2.464E+10 1.510E+14 3.814E+13 9.165E-09 207.5 1027 1.093E+09 1.786E+12 1.010E+08 6.251E+04 83.2 2.600E+10 1.488E+14 3.755E+13 9.026E-09 207.4 1027 1.077E+09 1.758E+12 1.022E+08 6.303E+04 83.3 2.743E+10 1.465E+14 3.697E+13 8.889E-09 207.2 1027 1.062E+09 1.732E+12 1.033E+08 6.356E+04 83.4 2.892E+10 1.443E+14 3.639E+13 8.755E-09 207.0 1027 1.047E+09 1.705E+12 1.043E+08 6.410E+04 83.5 3.047E+10 1.421E+14 3.583E+13 8.622E-09 206.8 1027 1.033E+09 1.679E+12 1.052E+08 6.464E+04 83.6 3.209E+10 1.400E+14 3.527E+13 8.491E-09 206.6 1027 1.018E+09 1.654E+12 1.060E+08 6.518E+04 83.7 3.378E+10 1.379E+14 3.472E+13 8.362E-09 206.5 1027 1.004E+09 1.628E+12 1.067E+08 6.573E+04 83.8 3.554E+10 1.358E+14 3.418E+13 8.235E-09 206.3 1027 9.903E+08 1.603E+12 1.073E+08 6.628E+04 83.9 3.737E+10 1.337E+14 3.365E+13 8.110E-09 206.1 1027 9.765E+08 1.579E+12 1.078E+08 6.683E+04 84.0 3.927E+10 1.317E+14 3.313E+13 7.987E-09 205.9 1027 9.630E+08 1.555E+12 1.081E+08 6.739E+04 84.1 4.125E+10 1.297E+14 3.261E+13 7.865E-09 205.7 1027 9.496E+08 1.531E+12 1.084E+08 6.796E+04 84.2 4.331E+10 1.278E+14 3.210E+13 7.746E-09 205.5 1027 9.364E+08 1.508E+12 1.086E+08 6.853E+04 84.3 4.544E+10 1.258E+14 3.160E+13 7.628E-09 205.3 1027 9.235E+08 1.484E+12 1.088E+08 6.910E+04 84.4 4.766E+10 1.239E+14 3.111E+13 7.512E-09 205.1 1027 9.107E+08 1.462E+12 1.088E+08 6.968E+04 84.5 4.995E+10 1.221E+14 3.062E+13 7.397E-09 204.9 1027 8.981E+08 1.439E+12 1.088E+08 7.027E+04 84.6 5.233E+10 1.202E+14 3.014E+13 7.284E-09 204.7 1027 8.857E+08 1.417E+12 1.087E+08 7.086E+04 84.7 5.480E+10 1.184E+14 2.967E+13 7.173E-09 204.5 1027 8.734E+08 1.395E+12 1.085E+08 7.145E+04 84.8 5.735E+10 1.166E+14 2.921E+13 7.064E-09 204.3 1027 8.614E+08 1.374E+12 1.082E+08 7.205E+04 84.9 5.999E+10 1.148E+14 2.875E+13 6.956E-09 204.1 1027 8.495E+08 1.353E+12 1.079E+08 7.265E+04 85.0 6.272E+10 1.131E+14 2.830E+13 6.850E-09 203.9 1027 8.378E+08 1.332E+12 1.076E+08 7.326E+04 85.1 6.555E+10 1.114E+14 2.786E+13 6.745E-09 203.7 1027 8.263E+08 1.311E+12 1.072E+08 7.387E+04 85.2 6.846E+10 1.097E+14 2.742E+13 6.642E-09 203.5 1027 8.149E+08 1.291E+12 1.067E+08 7.448E+04 85.3 7.147E+10 1.080E+14 2.699E+13 6.540E-09 203.3 1027 8.037E+08 1.271E+12 1.062E+08 7.511E+04 85.4 7.457E+10 1.064E+14 2.656E+13 6.440E-09 203.1 1027 7.927E+08 1.252E+12 1.056E+08 7.573E+04 85.5 7.776E+10 1.048E+14 2.614E+13 6.342E-09 202.9 1027 7.819E+08 1.232E+12 1.050E+08 7.636E+04 85.6 8.106E+10 1.032E+14 2.573E+13 6.244E-09 202.7 1027 7.712E+08 1.213E+12 1.044E+08 7.700E+04 85.7 8.445E+10 1.016E+14 2.533E+13 6.149E-09 202.4 1027 7.606E+08 1.194E+12 1.037E+08 7.764E+04 85.8 8.794E+10 1.000E+14 2.493E+13 6.054E-09 202.2 1027 7.502E+08 1.176E+12 1.030E+08 7.829E+04 85.9 9.152E+10 9.851E+13 2.453E+13 5.961E-09 202.0 1027 7.400E+08 1.158E+12 1.022E+08 7.894E+04 86.0 9.521E+10 9.701E+13 2.415E+13 5.870E-09 201.8 1027 7.299E+08 1.140E+12 1.015E+08 7.959E+04 86.1 9.900E+10 9.553E+13 2.376E+13 5.780E-09 201.6 1027 7.199E+08 1.122E+12 1.007E+08 8.025E+04 86.2 1.029E+11 9.407E+13 2.339E+13 5.691E-09 201.4 1027 7.101E+08 1.105E+12 9.987E+07 8.092E+04 86.3 1.069E+11 9.263E+13 2.302E+13 5.603E-09 201.1 1027 7.005E+08 1.087E+12 9.903E+07 8.159E+04 86.4 1.110E+11 9.122E+13 2.265E+13 5.517E-09 200.9 1027 6.910E+08 1.070E+12 9.818E+07 8.226E+04 86.5 1.152E+11 8.982E+13 2.229E+13 5.432E-09 200.7 1027 6.816E+08 1.054E+12 9.730E+07 8.294E+04 86.6 1.194E+11 8.845E+13 2.194E+13 5.348E-09 200.5 1027 6.724E+08 1.037E+12 9.641E+07 8.363E+04 86.7 1.238E+11 8.709E+13 2.159E+13 5.266E-09 200.2 1027 6.633E+08 1.021E+12 9.551E+07 8.432E+04 86.8 1.283E+11 8.575E+13 2.125E+13 5.185E-09 200.0 1027 6.543E+08 1.005E+12 9.460E+07 8.502E+04 86.9 1.329E+11 8.444E+13 2.091E+13 5.105E-09 199.8 1027 6.455E+08 9.895E+11 9.367E+07 8.572E+04 87.0 1.376E+11 8.314E+13 2.057E+13 5.026E-09 199.6 1027 6.368E+08 9.740E+11 9.274E+07 8.642E+04 87.1 1.424E+11 8.186E+13 2.025E+13 4.948E-09 199.3 1027 6.282E+08 9.587E+11 9.180E+07 8.713E+04 87.2 1.473E+11 8.061E+13 1.992E+13 4.871E-09 199.1 1027 6.198E+08 9.437E+11 9.086E+07 8.785E+04 87.3 1.523E+11 7.937E+13 1.960E+13 4.796E-09 198.9 1027 6.114E+08 9.288E+11 8.991E+07 8.857E+04 87.4 1.574E+11 7.814E+13 1.929E+13 4.722E-09 198.6 1027 6.032E+08 9.142E+11 8.895E+07 8.930E+04 87.5 1.626E+11 7.694E+13 1.898E+13 4.648E-09 198.4 1027 5.952E+08 8.998E+11 8.800E+07 9.003E+04 87.6 1.678E+11 7.575E+13 1.868E+13 4.576E-09 198.1 1027 5.872E+08 8.857E+11 8.704E+07 9.076E+04 87.7 1.732E+11 7.458E+13 1.838E+13 4.505E-09 197.9 1027 5.794E+08 8.717E+11 8.608E+07 9.151E+04 87.8 1.787E+11 7.343E+13 1.808E+13 4.435E-09 197.7 1027 5.716E+08 8.579E+11 8.513E+07 9.225E+04 87.9 1.842E+11 7.230E+13 1.779E+13 4.366E-09 197.4 1027 5.640E+08 8.444E+11 8.417E+07 9.301E+04 88.0 1.899E+11 7.118E+13 1.750E+13 4.298E-09 197.2 1027 5.565E+08 8.310E+11 8.322E+07 9.376E+04 88.1 1.956E+11 7.008E+13 1.722E+13 4.232E-09 196.9 1027 5.491E+08 8.178E+11 8.227E+07 9.453E+04 88.2 2.014E+11 6.899E+13 1.694E+13 4.166E-09 196.7 1027 5.419E+08 8.049E+11 8.132E+07 9.529E+04 88.3 2.073E+11 6.792E+13 1.667E+13 4.101E-09 196.4 1027 5.347E+08 7.921E+11 8.038E+07 9.607E+04 88.4 2.133E+11 6.687E+13 1.640E+13 4.037E-09 196.2 1027 5.276E+08 7.795E+11 7.944E+07 9.685E+04 88.5 2.193E+11 6.583E+13 1.613E+13 3.974E-09 195.9 1027 5.206E+08 7.671E+11 7.850E+07 9.763E+04 88.6 2.255E+11 6.481E+13 1.587E+13 3.912E-09 195.7 1027 5.138E+08 7.549E+11 7.758E+07 9.842E+04 88.7 2.317E+11 6.380E+13 1.562E+13 3.850E-09 195.4 1027 5.070E+08 7.428E+11 7.666E+07 9.921E+04 88.8 2.380E+11 6.281E+13 1.536E+13 3.790E-09 195.2 1027 5.004E+08 7.310E+11 7.574E+07 1.000E+05 88.9 2.443E+11 6.183E+13 1.511E+13 3.731E-09 194.9 1027 4.938E+08 7.193E+11 7.483E+07 1.008E+05 89.0 2.507E+11 6.086E+13 1.487E+13 3.672E-09 194.7 1027 4.873E+08 7.078E+11 7.393E+07 1.016E+05 89.1 2.572E+11 5.991E+13 1.462E+13 3.615E-09 194.4 1027 4.810E+08 6.964E+11 7.304E+07 1.024E+05 89.2 2.637E+11 5.898E+13 1.439E+13 3.558E-09 194.2 1027 4.747E+08 6.852E+11 7.215E+07 1.033E+05 89.3 2.703E+11 5.806E+13 1.415E+13 3.502E-09 193.9 1027 4.685E+08 6.742E+11 7.128E+07 1.041E+05 89.4 2.769E+11 5.715E+13 1.392E+13 3.447E-09 193.6 1027 4.624E+08 6.634E+11 7.041E+07 1.049E+05 89.5 2.836E+11 5.625E+13 1.369E+13 3.393E-09 193.4 1027 4.564E+08 6.527E+11 6.955E+07 1.058E+05 89.6 2.903E+11 5.537E+13 1.347E+13 3.339E-09 193.1 1027 4.505E+08 6.421E+11 6.870E+07 1.066E+05 89.7 2.971E+11 5.450E+13 1.324E+13 3.287E-09 192.9 1027 4.447E+08 6.318E+11 6.785E+07 1.075E+05 89.8 3.039E+11 5.365E+13 1.303E+13 3.235E-09 192.6 1027 4.390E+08 6.215E+11 6.702E+07 1.083E+05 89.9 3.108E+11 5.280E+13 1.281E+13 3.184E-09 192.3 1027 4.333E+08 6.115E+11 6.620E+07 1.092E+05 90.0 3.176E+11 5.197E+13 1.260E+13 3.133E-09 192.1 1027 4.277E+08 6.015E+11 6.538E+07 1.100E+05 90.1 3.245E+11 5.115E+13 1.239E+13 3.084E-09 191.8 1027 4.223E+08 5.918E+11 6.458E+07 1.109E+05 90.2 3.315E+11 5.035E+13 1.219E+13 3.035E-09 191.5 1027 4.169E+08 5.821E+11 6.378E+07 1.118E+05 90.3 3.384E+11 4.955E+13 1.199E+13 2.987E-09 191.2 1027 4.115E+08 5.726E+11 6.299E+07 1.127E+05 90.4 3.454E+11 4.877E+13 1.179E+13 2.940E-09 191.0 1027 4.063E+08 5.633E+11 6.222E+07 1.136E+05 90.5 3.524E+11 4.800E+13 1.159E+13 2.893E-09 190.7 1027 4.011E+08 5.541E+11 6.145E+07 1.144E+05 90.6 3.593E+11 4.724E+13 1.140E+13 2.847E-09 190.4 1027 3.960E+08 5.450E+11 6.069E+07 1.153E+05 90.7 3.663E+11 4.649E+13 1.121E+13 2.802E-09 190.2 1027 3.910E+08 5.361E+11 5.994E+07 1.162E+05 90.8 3.733E+11 4.575E+13 1.102E+13 2.757E-09 189.9 1027 3.861E+08 5.273E+11 5.920E+07 1.172E+05 90.9 3.803E+11 4.502E+13 1.084E+13 2.713E-09 189.6 1027 3.812E+08 5.186E+11 5.847E+07 1.181E+05 91.0 3.873E+11 4.431E+13 1.066E+13 2.670E-09 189.3 1027 3.764E+08 5.100E+11 5.775E+07 1.190E+05 91.1 3.942E+11 4.360E+13 1.048E+13 2.627E-09 189.1 1027 3.717E+08 5.016E+11 5.704E+07 1.199E+05 91.2 4.012E+11 4.290E+13 1.030E+13 2.585E-09 188.8 1027 3.670E+08 4.933E+11 5.634E+07 1.208E+05 91.3 4.081E+11 4.222E+13 1.013E+13 2.543E-09 188.5 1027 3.624E+08 4.851E+11 5.564E+07 1.218E+05 91.4 4.149E+11 4.154E+13 9.960E+12 2.503E-09 188.3 1027 3.579E+08 4.770E+11 5.496E+07 1.227E+05 91.5 4.218E+11 4.088E+13 9.792E+12 2.462E-09 188.0 1027 3.535E+08 4.691E+11 5.428E+07 1.236E+05 91.6 4.286E+11 4.022E+13 9.626E+12 2.423E-09 187.7 1027 3.491E+08 4.613E+11 5.362E+07 1.246E+05 91.7 4.354E+11 3.957E+13 9.463E+12 2.384E-09 187.4 1027 3.447E+08 4.535E+11 5.296E+07 1.255E+05 91.8 4.421E+11 3.893E+13 9.302E+12 2.345E-09 187.2 1027 3.405E+08 4.459E+11 5.231E+07 1.265E+05 91.9 4.488E+11 3.831E+13 9.144E+12 2.307E-09 186.9 1027 3.363E+08 4.384E+11 5.168E+07 1.274E+05 92.0 4.554E+11 3.769E+13 8.988E+12 2.270E-09 186.6 1027 3.321E+08 4.310E+11 5.105E+07 1.284E+05 92.1 4.620E+11 3.708E+13 8.835E+12 2.233E-09 186.4 1027 3.280E+08 4.238E+11 5.042E+07 1.294E+05 92.2 4.685E+11 3.647E+13 8.684E+12 2.197E-09 186.1 1027 3.240E+08 4.166E+11 4.981E+07 1.303E+05 92.3 4.749E+11 3.588E+13 8.535E+12 2.161E-09 185.8 1027 3.200E+08 4.095E+11 4.921E+07 1.313E+05 92.4 4.813E+11 3.530E+13 8.388E+12 2.126E-09 185.6 1027 3.161E+08 4.026E+11 4.861E+07 1.323E+05 92.5 4.876E+11 3.472E+13 8.244E+12 2.091E-09 185.3 1027 3.123E+08 3.957E+11 4.802E+07 1.333E+05 92.6 4.938E+11 3.415E+13 8.101E+12 2.057E-09 185.1 1027 3.085E+08 3.889E+11 4.744E+07 1.343E+05 92.7 5.000E+11 3.360E+13 7.961E+12 2.023E-09 184.8 1027 3.047E+08 3.823E+11 4.687E+07 1.353E+05 92.8 5.060E+11 3.304E+13 7.823E+12 1.990E-09 184.6 1027 3.010E+08 3.757E+11 4.631E+07 1.363E+05 92.9 5.120E+11 3.250E+13 7.687E+12 1.957E-09 184.3 1027 2.974E+08 3.692E+11 4.575E+07 1.373E+05 93.0 5.178E+11 3.197E+13 7.553E+12 1.925E-09 184.0 1027 2.938E+08 3.629E+11 4.521E+07 1.383E+05 93.1 5.236E+11 3.144E+13 7.421E+12 1.893E-09 183.8 1027 2.903E+08 3.566E+11 4.467E+07 1.393E+05 93.2 5.293E+11 3.092E+13 7.291E+12 1.862E-09 183.6 1027 2.868E+08 3.504E+11 4.413E+07 1.403E+05 93.3 5.349E+11 3.041E+13 7.163E+12 1.831E-09 183.3 1027 2.834E+08 3.443E+11 4.361E+07 1.413E+05 93.4 5.403E+11 2.990E+13 7.038E+12 1.800E-09 183.1 1027 2.800E+08 3.383E+11 4.309E+07 1.423E+05 93.5 5.457E+11 2.940E+13 6.913E+12 1.770E-09 182.8 1027 2.767E+08 3.324E+11 4.258E+07 1.433E+05 93.6 5.509E+11 2.891E+13 6.791E+12 1.741E-09 182.6 1027 2.734E+08 3.265E+11 4.208E+07 1.443E+05 93.7 5.561E+11 2.843E+13 6.671E+12 1.712E-09 182.4 1027 2.702E+08 3.208E+11 4.159E+07 1.454E+05 93.8 5.611E+11 2.795E+13 6.553E+12 1.683E-09 182.1 1027 2.670E+08 3.151E+11 4.110E+07 1.464E+05 93.9 5.660E+11 2.749E+13 6.436E+12 1.655E-09 181.9 1027 2.638E+08 3.095E+11 4.062E+07 1.474E+05 94.0 5.707E+11 2.702E+13 6.321E+12 1.627E-09 181.7 1027 2.607E+08 3.040E+11 4.015E+07 1.485E+05 94.1 5.754E+11 2.657E+13 6.208E+12 1.600E-09 181.5 1027 2.577E+08 2.986E+11 3.968E+07 1.495E+05 94.2 5.799E+11 2.612E+13 6.097E+12 1.573E-09 181.2 1027 2.547E+08 2.933E+11 3.922E+07 1.505E+05 94.3 5.843E+11 2.568E+13 5.987E+12 1.546E-09 181.0 1027 2.517E+08 2.880E+11 3.877E+07 1.516E+05 94.4 5.886E+11 2.524E+13 5.879E+12 1.520E-09 180.8 1027 2.488E+08 2.829E+11 3.832E+07 1.526E+05 94.5 5.927E+11 2.481E+13 5.773E+12 1.494E-09 180.6 1027 2.459E+08 2.778E+11 3.788E+07 1.537E+05 94.6 5.967E+11 2.439E+13 5.669E+12 1.469E-09 180.4 1027 2.431E+08 2.728E+11 3.745E+07 1.547E+05 94.7 6.005E+11 2.398E+13 5.566E+12 1.444E-09 180.2 1027 2.403E+08 2.678E+11 3.702E+07 1.558E+05 94.8 6.043E+11 2.357E+13 5.464E+12 1.419E-09 180.0 1027 2.376E+08 2.630E+11 3.660E+07 1.568E+05 94.9 6.078E+11 2.316E+13 5.365E+12 1.395E-09 179.8 1027 2.348E+08 2.582E+11 3.618E+07 1.579E+05 95.0 6.113E+11 2.276E+13 5.266E+12 1.371E-09 179.6 1027 2.322E+08 2.534E+11 3.577E+07 1.589E+05 95.1 6.146E+11 2.237E+13 5.170E+12 1.347E-09 179.4 1027 2.295E+08 2.488E+11 3.537E+07 1.600E+05 95.2 6.177E+11 2.199E+13 5.075E+12 1.324E-09 179.2 1027 2.270E+08 2.442E+11 3.497E+07 1.611E+05 95.3 6.207E+11 2.161E+13 4.981E+12 1.301E-09 179.0 1027 2.244E+08 2.397E+11 3.458E+07 1.621E+05 95.4 6.236E+11 2.123E+13 4.889E+12 1.279E-09 178.9 1027 2.219E+08 2.353E+11 3.420E+07 1.632E+05 95.5 6.263E+11 2.086E+13 4.798E+12 1.257E-09 178.7 1027 2.194E+08 2.309E+11 3.382E+07 1.643E+05 95.6 6.289E+11 2.050E+13 4.709E+12 1.235E-09 178.5 1027 2.170E+08 2.266E+11 3.344E+07 1.653E+05 95.7 6.313E+11 2.014E+13 4.622E+12 1.213E-09 178.4 1027 2.146E+08 2.224E+11 3.307E+07 1.664E+05 95.8 6.336E+11 1.979E+13 4.535E+12 1.192E-09 178.2 1027 2.122E+08 2.182E+11 3.271E+07 1.675E+05 95.9 6.358E+11 1.944E+13 4.450E+12 1.171E-09 178.1 1027 2.099E+08 2.141E+11 3.235E+07 1.686E+05 96.0 6.378E+11 1.910E+13 4.367E+12 1.151E-09 177.9 1027 2.076E+08 2.101E+11 3.200E+07 1.697E+05 96.1 6.396E+11 1.877E+13 4.285E+12 1.131E-09 177.8 1027 2.053E+08 2.061E+11 3.165E+07 1.708E+05 96.2 6.413E+11 1.844E+13 4.204E+12 1.111E-09 177.6 1027 2.031E+08 2.022E+11 3.131E+07 1.718E+05 96.3 6.429E+11 1.811E+13 4.124E+12 1.091E-09 177.5 1027 2.009E+08 1.983E+11 3.097E+07 1.729E+05 96.4 6.443E+11 1.779E+13 4.046E+12 1.072E-09 177.4 1027 1.987E+08 1.946E+11 3.063E+07 1.740E+05 96.5 6.456E+11 1.747E+13 3.969E+12 1.053E-09 177.2 1027 1.966E+08 1.908E+11 3.031E+07 1.751E+05 96.6 6.467E+11 1.716E+13 3.893E+12 1.034E-09 177.1 1027 1.945E+08 1.872E+11 2.998E+07 1.762E+05 96.7 6.477E+11 1.686E+13 3.819E+12 1.016E-09 177.0 1027 1.925E+08 1.836E+11 2.966E+07 1.773E+05 96.8 6.485E+11 1.656E+13 3.746E+12 9.977E-10 176.9 1027 1.904E+08 1.800E+11 2.935E+07 1.784E+05 96.9 6.492E+11 1.626E+13 3.674E+12 9.799E-10 176.8 1027 1.884E+08 1.765E+11 2.904E+07 1.795E+05 97.0 6.498E+11 1.597E+13 3.603E+12 9.624E-10 176.7 1027 1.865E+08 1.731E+11 2.873E+07 1.806E+05 97.1 6.502E+11 1.568E+13 3.533E+12 9.451E-10 176.6 1027 1.845E+08 1.697E+11 2.843E+07 1.817E+05 97.2 6.505E+11 1.540E+13 3.465E+12 9.282E-10 176.5 1027 1.826E+08 1.664E+11 2.814E+07 1.828E+05 97.3 6.507E+11 1.512E+13 3.398E+12 9.115E-10 176.4 1027 1.807E+08 1.631E+11 2.784E+07 1.839E+05 97.4 6.507E+11 1.485E+13 3.332E+12 8.950E-10 176.3 1027 1.789E+08 1.599E+11 2.756E+07 1.851E+05 97.5 6.506E+11 1.458E+13 3.267E+12 8.788E-10 176.2 1027 1.771E+08 1.567E+11 2.727E+07 1.862E+05 97.6 6.504E+11 1.431E+13 3.203E+12 8.629E-10 176.2 1027 1.753E+08 1.536E+11 2.699E+07 1.873E+05 97.7 6.500E+11 1.405E+13 3.140E+12 8.473E-10 176.1 1027 1.735E+08 1.506E+11 2.672E+07 1.884E+05 97.8 6.495E+11 1.380E+13 3.078E+12 8.319E-10 176.1 1027 1.718E+08 1.476E+11 2.644E+07 1.895E+05 97.9 6.489E+11 1.355E+13 3.018E+12 8.167E-10 176.0 1027 1.701E+08 1.446E+11 2.618E+07 1.906E+05 98.0 6.481E+11 1.330E+13 2.958E+12 8.018E-10 176.0 1027 1.684E+08 1.417E+11 2.591E+07 1.918E+05 98.1 6.473E+11 1.305E+13 2.900E+12 7.872E-10 175.9 1027 1.667E+08 1.389E+11 2.565E+07 1.929E+05 98.2 6.463E+11 1.281E+13 2.842E+12 7.727E-10 175.9 1027 1.651E+08 1.361E+11 2.539E+07 1.940E+05 98.3 6.452E+11 1.258E+13 2.785E+12 7.586E-10 175.9 1027 1.635E+08 1.333E+11 2.514E+07 1.952E+05 98.4 6.439E+11 1.235E+13 2.730E+12 7.446E-10 175.9 1027 1.619E+08 1.306E+11 2.489E+07 1.963E+05 98.5 6.426E+11 1.212E+13 2.675E+12 7.309E-10 175.8 1027 1.604E+08 1.279E+11 2.464E+07 1.974E+05 98.6 6.412E+11 1.189E+13 2.622E+12 7.174E-10 175.8 1027 1.588E+08 1.253E+11 2.440E+07 1.986E+05 98.7 6.396E+11 1.167E+13 2.569E+12 7.041E-10 175.8 1027 1.573E+08 1.227E+11 2.416E+07 1.997E+05 98.8 6.379E+11 1.146E+13 2.517E+12 6.911E-10 175.9 1027 1.559E+08 1.202E+11 2.392E+07 2.008E+05 98.9 6.362E+11 1.124E+13 2.466E+12 6.783E-10 175.9 1027 1.544E+08 1.177E+11 2.369E+07 2.020E+05 99.0 6.343E+11 1.103E+13 2.417E+12 6.656E-10 175.9 1027 1.530E+08 1.153E+11 2.346E+07 2.031E+05 99.1 6.323E+11 1.083E+13 2.368E+12 6.532E-10 175.9 1027 1.516E+08 1.129E+11 2.323E+07 2.043E+05 99.2 6.303E+11 1.062E+13 2.319E+12 6.410E-10 176.0 1027 1.502E+08 1.105E+11 2.300E+07 2.054E+05 99.3 6.281E+11 1.042E+13 2.272E+12 6.291E-10 176.0 1027 1.488E+08 1.082E+11 2.278E+07 2.066E+05 99.4 6.258E+11 1.023E+13 2.226E+12 6.173E-10 176.1 1027 1.475E+08 1.060E+11 2.256E+07 2.077E+05 99.5 6.235E+11 1.003E+13 2.180E+12 6.057E-10 176.1 1027 1.461E+08 1.037E+11 2.235E+07 2.089E+05 99.6 6.210E+11 9.846E+12 2.135E+12 5.943E-10 176.2 1027 1.448E+08 1.016E+11 2.214E+07 2.101E+05 99.7 6.185E+11 9.659E+12 2.092E+12 5.831E-10 176.3 1027 1.436E+08 9.940E+10 2.193E+07 2.112E+05 99.8 6.159E+11 9.476E+12 2.048E+12 5.721E-10 176.3 1027 1.423E+08 9.729E+10 2.172E+07 2.124E+05 99.9 6.132E+11 9.297E+12 2.006E+12 5.613E-10 176.4 1027 1.411E+08 9.522E+10 2.151E+07 2.135E+05fluids-1.0.22/tests/nrlmsise00/__init__.py0000644000175000017500000000225114302004506017651 0ustar nileshnilesh# -*- coding: utf-8 -*- '''Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2016, Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.''' fluids-1.0.22/tests/nrlmsise00/known_data_high_height.txt0000644000175000017500000025077014302004506022770 0ustar nileshnilesh100.0 6.104E+11 9.118E+12 1.964E+12 5.506E-10 176.5 1027 1.398E+08 9.317E+10 2.131E+07 2.147E+05 101.0 5.788E+11 7.514E+12 1.590E+12 4.541E-10 178.0 1027 1.287E+08 7.482E+10 1.942E+07 2.266E+05 102.0 5.423E+11 6.179E+12 1.282E+12 3.737E-10 180.2 1027 1.193E+08 5.975E+10 1.776E+07 2.389E+05 103.0 5.030E+11 5.074E+12 1.031E+12 3.072E-10 183.2 1027 1.114E+08 4.749E+10 1.628E+07 2.519E+05 104.0 4.629E+11 4.166E+12 8.283E+11 2.524E-10 187.0 1027 1.049E+08 3.760E+10 1.496E+07 2.658E+05 105.0 4.233E+11 3.422E+12 6.648E+11 2.076E-10 191.6 1027 9.941E+07 2.969E+10 1.377E+07 2.807E+05 106.0 3.852E+11 2.814E+12 5.335E+11 1.709E-10 196.9 1027 9.487E+07 2.340E+10 1.270E+07 2.968E+05 107.0 3.492E+11 2.318E+12 4.285E+11 1.410E-10 203.2 1027 9.107E+07 1.842E+10 1.172E+07 3.143E+05 108.0 3.157E+11 1.914E+12 3.447E+11 1.166E-10 210.3 1027 8.787E+07 1.449E+10 1.082E+07 3.332E+05 109.0 2.848E+11 1.585E+12 2.778E+11 9.673E-11 218.3 1027 8.515E+07 1.141E+10 9.995E+06 3.537E+05 110.0 2.565E+11 1.316E+12 2.245E+11 8.050E-11 227.2 1027 8.280E+07 8.998E+09 9.233E+06 3.758E+05 111.0 2.309E+11 1.097E+12 1.819E+11 6.725E-11 237.1 1027 8.072E+07 7.110E+09 8.527E+06 3.997E+05 112.0 2.077E+11 9.175E+11 1.480E+11 5.640E-11 248.1 1027 7.885E+07 5.634E+09 7.872E+06 4.254E+05 113.0 1.868E+11 7.706E+11 1.208E+11 4.749E-11 260.2 1027 7.710E+07 4.479E+09 7.264E+06 4.530E+05 114.0 1.680E+11 6.499E+11 9.905E+10 4.017E-11 273.4 1027 7.544E+07 3.575E+09 6.700E+06 4.826E+05 115.0 1.513E+11 5.506E+11 8.157E+10 3.413E-11 287.7 1027 7.382E+07 2.866E+09 6.177E+06 5.143E+05 116.0 1.363E+11 4.686E+11 6.750E+10 2.914E-11 303.2 1027 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2.667273E+04 1.220146E+03 1.212712E+03 5.776251E+05 6.979139E+07 1.236814E+07 2.492868E+05 1.405739E+03 2.470651E-15 5.291986E+04 1.069814E+06 2.667273E+04 1.116385E+03 1.112999E+03 3.740304E+05 4.782720E+07 5.240380E+06 1.759875E+05 5.501649E+02 1.571889E-15 8.896776E+04 1.979741E+06 9.121815E+03 1.031247E+03 1.024848E+03 6.748339E+05 1.245315E+08 2.369010E+07 4.911583E+05 4.578781E+03 4.564420E-15 3.244595E+04 5.370833E+06 2.667273E+04 1.306052E+03 1.293374E+03 5.528601E+05 1.198041E+08 3.495798E+07 9.339618E+05 1.096255E+04 4.974543E-15 2.686428E+04 4.889974E+06 2.805445E+04 1.361868E+03 1.347389E+03 1.375488E+14 0.000000E+00 2.049687E+19 5.498695E+18 2.451733E+17 1.261066E-03 0.000000E+00 0.000000E+00 0.000000E+00 1.027318E+03 2.814648E+02 4.427443E+13 0.000000E+00 6.597567E+18 1.769929E+18 7.891680E+16 4.059139E-04 0.000000E+00 0.000000E+00 0.000000E+00 1.027318E+03 2.274180E+02 2.127829E+12 0.000000E+00 3.170791E+17 8.506280E+16 3.792741E+15 1.950822E-05 0.000000E+00 0.000000E+00 0.000000E+00 1.027318E+03 2.374389E+02 1.412184E+11 0.000000E+00 2.104370E+16 5.645392E+15 2.517142E+14 1.294709E-06 0.000000E+00 0.000000E+00 0.000000E+00 1.027318E+03 2.795551E+02 1.254884E+10 0.000000E+00 1.874533E+15 4.923051E+14 2.239685E+13 1.147668E-07 0.000000E+00 0.000000E+00 0.000000E+00 1.027318E+03 2.190732E+02 5.196477E+05 1.274494E+08 4.850450E+07 1.720838E+06 2.354487E+04 5.881940E-15 2.500078E+04 6.279210E+06 2.667273E+04 1.426412E+03 1.408608E+03 4.260860E+07 1.241342E+11 4.929562E+12 1.048407E+12 4.993465E+10 2.914304E-10 8.831229E+06 2.252516E+05 2.415246E-42 1.027318E+03 1.934071E+02 DAY 172 81 172 172 172 UT 29000 29000 75000 29000 29000 ALT 400 400 1000 100 400 LAT 60 60 60 60 0 LONG -70 -70 -70 -70 -70 LST 16 16 16 16 16 F107A 150 150 150 150 150 F107 150 150 150 150 150 TINF 1250.54 1166.75 1239.89 1027.32 1212.40 TG 1241.42 1161.71 1239.89 206.89 1208.14 HE 6.665e+05 3.407e+06 1.124e+05 5.412e+07 1.851e+06 O 1.139e+08 1.586e+08 6.934e+04 1.919e+11 1.477e+08 N2 1.998e+07 1.391e+07 4.247e+01 6.116e+12 1.579e+07 O2 4.023e+05 3.263e+05 1.323e-01 1.225e+12 2.634e+05 AR 3.557e+03 1.560e+03 2.619e-05 6.023e+10 1.589e+03 H 3.475e+04 4.854e+04 2.017e+04 1.060e+07 5.816e+04 N 4.096e+06 4.381e+06 5.741e+03 2.616e+05 5.479e+06 ANM 2.667e+04 6.957e+03 2.374e+04 2.820e-42 1.264e+03 RHO 4.075e-15 5.002e-15 2.757e-18 3.584e-10 4.810e-15 DAY 172 172 172 172 172 UT 29000 29000 29000 29000 29000 ALT 400 400 400 400 400 LAT 60 60 60 60 60 LONG 0 -70 -70 -70 -70 LST 16 4 16 16 16 F107A 150 150 70 150 150 F107 150 150 150 180 150 TINF 1220.15 1116.39 1031.25 1306.05 1361.87 TG 1212.71 1113.00 1024.85 1293.37 1347.39 HE 8.673e+05 5.776e+05 3.740e+05 6.748e+05 5.529e+05 O 1.279e+08 6.979e+07 4.783e+07 1.245e+08 1.198e+08 N2 1.823e+07 1.237e+07 5.240e+06 2.369e+07 3.496e+07 O2 2.922e+05 2.493e+05 1.760e+05 4.912e+05 9.340e+05 AR 2.403e+03 1.406e+03 5.502e+02 4.579e+03 1.096e+04 H 3.686e+04 5.292e+04 8.897e+04 3.245e+04 2.686e+04 N 3.897e+06 1.070e+06 1.980e+06 5.371e+06 4.890e+06 ANM 2.667e+04 2.667e+04 9.122e+03 2.667e+04 2.805e+04 RHO 4.356e-15 2.471e-15 1.572e-15 4.564e-15 4.975e-15 DAY 172 172 172 172 172 UT 29000 29000 29000 29000 29000 ALT 0 10 30 50 70 LAT 60 60 60 60 60 LONG -70 -70 -70 -70 -70 LST 16 16 16 16 16 F107A 150 150 150 150 150 F107 150 150 150 150 150 TINF 1027.32 1027.32 1027.32 1027.32 1027.32 TG 281.46 227.42 237.44 279.56 219.07 HE 1.375e+14 4.427e+13 2.128e+12 1.412e+11 1.255e+10 O 0.000e+00 0.000e+00 0.000e+00 0.000e+00 0.000e+00 N2 2.050e+19 6.598e+18 3.171e+17 2.104e+16 1.875e+15 O2 5.499e+18 1.770e+18 8.506e+16 5.645e+15 4.923e+14 AR 2.452e+17 7.892e+16 3.793e+15 2.517e+14 2.240e+13 H 0.000e+00 0.000e+00 0.000e+00 0.000e+00 0.000e+00 N 0.000e+00 0.000e+00 0.000e+00 0.000e+00 0.000e+00 ANM 0.000e+00 0.000e+00 0.000e+00 0.000e+00 0.000e+00 RHO 1.261e-03 4.059e-04 1.951e-05 1.295e-06 1.148e-07 fluids-1.0.22/tests/make_test_stubs.py0000644000175000017500000000256514302004506017322 0ustar nileshnilesh#!/usr/bin/env python3 # -*- coding: utf-8 -*- import os import sys tests = ['test_drag', 'test_control_valve', 'test_two_phase', 'test_two_phase_voidage', 'test_separator', 'test_piping', 'test_packed_bed', 'test_compressible', 'test_core', 'test_safety_valve', 'test_open_flow', 'test_filters', 'test_flow_meter', 'test_atmosphere', 'test_pump', 'test_friction', 'test_fittings', 'test_packed_tower', 'test_saltation', 'test_mixing', 'test_geometry', 'test_particle_size_distribution', 'test_jet_pump'] #tests = ['test_geometry'] try: os.remove("monkeytype.sqlite3") except: pass for t in tests: os.system("python3 -m monkeytype run manual_runner.py %s" %t) for t in tests: mod = t[5:] os.system("python3 -m monkeytype stub fluids.%s > ../fluids/%s.pyi" %(mod, mod)) type_hit_path = "../fluids/%s.pyi" %mod dat = open(type_hit_path, 'r').read() imports = 'from typing import List\n' future = 'from __future__ import annotations\n' dat = '# DO NOT EDIT - AUTOMATICALLY GENERATED BY tests/make_test_stubs.py!\n' + future + imports + dat dat = dat.replace('Union[int, float]', 'float') dat = dat.replace('Union[float, int]', 'float') dat += '\n__all__: List[str]' open(type_hit_path, 'w').write(dat) ''' First thing not supported by monkeytype: Tuple[t1, ...] in CountryPower ''' try: os.remove("monkeytype.sqlite3") except: pass fluids-1.0.22/tests/test_separator.py0000644000175000017500000001254614302004506017165 0ustar nileshnilesh# -*- coding: utf-8 -*- '''Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2016, 2017 Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.''' from fluids.separator import K_separator_Watkins, K_separator_demister_York, v_Sounders_Brown, K_Sounders_Brown_theoretical import pytest from fluids.numerics import assert_close, assert_close1d, assert_close2d @pytest.mark.scipy def test_K_separator_Watkins_fit(): import numpy as np from fluids.separator import tck_Watkins from scipy.interpolate import UnivariateSpline, splev, splrep v_factors_Watkins = [0.006, 0.00649546, 0.00700535, 0.00755527, 0.00817788, 0.00881991, 0.00954676, 0.0103522, 0.0112256, 0.0121947, 0.0132476, 0.0143655, 0.0156059, 0.0169841, 0.018484, 0.0201165, 0.0219329, 0.0239133, 0.0260727, 0.0284272, 0.0309944, 0.0339158, 0.037046, 0.0403924, 0.0441998, 0.0483665, 0.0529259, 0.0579153, 0.0632613, 0.0692251, 0.0756157, 0.0825962, 0.0902214, 0.0983732, 0.107262, 0.116954, 0.127753, 0.139047, 0.151614, 0.165317, 0.179934, 0.195845, 0.21278, 0.231181, 0.251627, 0.272897, 0.295966, 0.32041, 0.347497, 0.3762, 0.407274, 0.440914, 0.476478, 0.513983, 0.554442, 0.59701, 0.642851, 0.690966, 0.744018, 0.798268, 0.856477, 0.920588, 0.987716, 1.05784, 1.13294, 1.21337, 1.29718, 1.38678, 1.4799, 1.58212, 1.68837, 1.79851, 1.91583, 2.04083, 2.16616, 2.29918, 2.44037, 2.59025, 2.73944, 2.89725, 3.06414, 3.24064, 3.42731, 3.61822, 3.81976, 4.02527, 4.24949, 4.47008, 4.71907, 4.96404, 5.22172, 5.43354] Kv_Watkins = [0.23722, 0.248265, 0.260298, 0.272915, 0.284578, 0.297283, 0.309422, 0.322054, 0.33398, 0.345714, 0.355905, 0.366397, 0.377197, 0.386898, 0.396125, 0.404831, 0.411466, 0.41821, 0.424289, 0.428886, 0.433533, 0.435832, 0.436547, 0.436468, 0.437982, 0.437898, 0.437815, 0.436932, 0.435258, 0.434381, 0.431138, 0.427919, 0.42395, 0.420018, 0.415364, 0.410012, 0.403988, 0.39733, 0.390067, 0.38154, 0.373883, 0.364378, 0.354467, 0.344197, 0.333613, 0.322767, 0.311704, 0.299923, 0.289114, 0.277173, 0.265725, 0.254749, 0.243338, 0.232438, 0.221621, 0.211309, 0.200742, 0.190704, 0.181498, 0.172108, 0.162906, 0.154196, 0.145952, 0.137897, 0.130049, 0.122647, 0.115667, 0.108885, 0.102502, 0.0963159, 0.0903385, 0.0847323, 0.0796194, 0.0744062, 0.0695348, 0.0651011, 0.060839, 0.0567521, 0.0529401, 0.0492041, 0.0458154, 0.0426601, 0.039722, 0.036919, 0.0343137, 0.0318924, 0.0296419, 0.0275001, 0.0255595, 0.0237127, 0.0219993, 0.0207107] Watkins_interp = UnivariateSpline(v_factors_Watkins, Kv_Watkins, s=.00001) tck_Watkins_recalc = splrep(np.log(v_factors_Watkins), np.log(Kv_Watkins), s=0.001, k=3) [assert_close1d(i, j, rtol=1e-3) for i, j in zip(tck_Watkins[:-1], tck_Watkins_recalc[:-1])] # plt.loglog(v_factors_Watkins, Watkins_interp(v_factors_Watkins)) # my_vs = np.logspace(np.log10(0.006/10), np.log10(5.43354*10), 1000) # plt.loglog(my_vs, np.exp(splev(np.log(my_vs), tck_Watkins)), 'x') # plt.show() def test_K_separator_Watkins(): calc = [[K_separator_Watkins(0.88, 985.4, 1.3, horizontal, method) for method in ['spline', 'branan', 'blackwell']] for horizontal in [False, True]] expect = [[0.06361290880381038, 0.06108986837654085, 0.06994527471072351], [0.07951613600476297, 0.07636233547067607, 0.0874315933884044]] assert_close2d(calc, expect, rtol=1e-4) with pytest.raises(Exception): K_separator_Watkins(0.88, 985.4, 1.3, horizontal=True, method='BADMETHOD') def test_K_separator_demister_York(): from fluids.constants import psi Ks_expect = [0.056387999999999994, 0.056387999999999994, 0.09662736507185091, 0.10667999999999998, 0.10520347947487964, 0.1036391539227465, 0.07068690636639535] Ks = [] for P in [.1, 1, 10, 20, 40, 50, 5600]: Ks.append(K_separator_demister_York(P*psi)) assert_close1d(Ks, Ks_expect) K = K_separator_demister_York(25*psi, horizontal=True) assert_close(K, 0.13334999999999997) def test_v_Sounders_Brown(): v = v_Sounders_Brown(K=0.08, rhol=985.4, rhog=1.3) assert_close(v, 2.2010906387516167) def test_K_Sounders_Brown_theoretical(): K = K_Sounders_Brown_theoretical(D=150E-6, Cd=0.5) assert_close(K, 0.06263114241333939)fluids-1.0.22/tests/test_utils.py0000644000175000017500000000470414302004506016322 0ustar nileshnilesh# -*- coding: utf-8 -*- '''Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2020 Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.''' from __future__ import division import pytest def swap_funcs_and_test(names, substitutions, test): '''Function to replace some globals in another function, run that function, and then set the globals back. names : list[str] object names to switch out substitutions : list[obj] Objects to put in test : function Unit test to run in the file ''' originals = {} glob = test.__globals__ for name, sub in zip(names, substitutions): if name in glob: originals[name] = glob[name] glob[name] = sub try: test() except Exception as e: glob.update(originals) raise e glob.update(originals) try: import fluids.numba numba_substitutions = [] numba_func_names = [] for s in fluids.numba.__all__: if hasattr(fluids.numba, s): f = getattr(fluids.numba, s) numba_substitutions.append(f) numba_func_names.append(s) except: pass def swap_for_numba_test(func): return swap_funcs_and_test(fluids.numba.__all__, numba_substitutions, func) def mark_as_numba(func): func = pytest.mark.numba(func) func = pytest.mark.slow(func) func = pytest.mark.skipif(numba is None, reason="Numba is missing")(func) return func fluids-1.0.22/tests/test_control_valve.py0000644000175000017500000004226414302004506020042 0ustar nileshnilesh# -*- coding: utf-8 -*- '''Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2016, 2017 Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.''' from fluids.control_valve import cavitation_index, FF_critical_pressure_ratio_l, is_choked_turbulent_l, is_choked_turbulent_g, Reynolds_valve, loss_coefficient_piping, Reynolds_factor from fluids.fittings import Cv_to_Kv from fluids.control_valve import * from fluids.numerics import assert_close, assert_close1d, assert_close2d, isclose import pytest def test_control_valve(): CI = cavitation_index(1E6, 8E5, 2E5) assert_close(CI, 4.0) FF = FF_critical_pressure_ratio_l(70100.0, 22120000.0) assert_close(FF, 0.9442375225233299) F = is_choked_turbulent_l(460.0, 680.0, 70.1, 0.9442375225233299, 0.9) assert not F T = is_choked_turbulent_l(460.0, 680.0, 70.1, 0.9442375225233299, 0.6) assert T with pytest.raises(Exception): is_choked_turbulent_l(460.0, 680.0, 70.1, 0.9442375225233299) # Example 4, compressible flow - small flow trim sized for gas flow: assert False == is_choked_turbulent_g(0.536, 1.193, 0.8) # Custom example assert True == is_choked_turbulent_g(0.9, 1.193, 0.7) with pytest.raises(Exception): is_choked_turbulent_g(0.544, 0.929) Rev = Reynolds_valve(3.26e-07, 360, 100.0, 0.6, 0.98, 238.05817216710483) assert_close(Rev, 6596953.826574914) Rev = Reynolds_valve(3.26e-07, 360, 150.0, 0.9, 0.46, 164.9954763704956) assert_close(Rev, 2967024.346783506) K = loss_coefficient_piping(0.05, 0.08, 0.1) assert_close(K, 0.6580810546875) ### Reynolds factor (laminar) # In Example 4, compressible flow with small flow trim sized for gas flow # (Cv in the problem was converted to Kv here to make FR match with N32, N2): f = Reynolds_factor(FL=0.98, C=0.015483, d=15., Rev=1202., full_trim=False) assert_close(f, 0.7148753122302025) # Custom, same as above but with full trim: f = Reynolds_factor(FL=0.98, C=0.015483, d=15., Rev=1202., full_trim=True) assert_close(f, 0.9875328782172637) # Example 4 with Rev < 10: f = Reynolds_factor(FL=0.98, C=0.015483, d=15., Rev=8., full_trim=False) assert_close(f, 0.08339546213461975) # Same, with full_trim f = Reynolds_factor(FL=0.98, C=0.015483, d=15., Rev=8., full_trim=True) assert_close(f, 43.619397389803986) def test_control_valve_size_l(): ### Control valve liquid # From [1]_, matching example 1 for a globe, parabolic plug, # flow-to-open valve. Kv = size_control_valve_l(rho=965.4, Psat=70.1E3, Pc=22120E3, mu=3.1472E-4, P1=680E3, P2=220E3, Q=0.1, D1=0.15, D2=0.15, d=0.15, FL=0.9, Fd=0.46) assert_close(Kv, 164.9954763704956) # Same as above - diameters removed Kv = size_control_valve_l(rho=965.4, Psat=70.1E3, Pc=22120E3, mu=3.1472E-4, P1=680E3, P2=220E3, Q=0.1) assert_close(Kv, 164.9954763704956) # From [1]_, matching example 2 for a ball, segmented ball, # flow-to-open valve. Kv = size_control_valve_l(rho=965.4, Psat=70.1E3, Pc=22120E3, mu=3.1472E-4, P1=680E3, P2=220E3, Q=0.1, D1=0.1, D2=0.1, d=0.1, FL=0.6, Fd=0.98) assert_close(Kv, 238.05817216710483) # Modified example 1 with non-choked flow, with reducer and expander Kv = size_control_valve_l(rho=965.4, Psat=70.1E3, Pc=22120E3, mu=3.1472E-4, P1=680E3, P2=220E3, Q=0.1, D1=0.1, D2=0.09, d=0.08, FL=0.9, Fd=0.46) assert_close(Kv, 177.44417090966715) # Modified example 2 with non-choked flow, with reducer and expander Kv = size_control_valve_l(rho=965.4, Psat=70.1E3, Pc=22120E3, mu=3.1472E-4, P1=680E3, P2=220E3, Q=0.1, D1=0.1, D2=0.1, d=0.095, FL=0.6, Fd=0.98) assert_close(Kv, 241.6812562245056) # Same, test intermediate values ans = size_control_valve_l(rho=965.4, Psat=70.1E3, Pc=22120E3, mu=3.1472E-4, P1=680E3, P2=220E3, Q=0.1, D1=0.1, D2=0.1, d=0.095, FL=0.6, Fd=0.98, full_output=True) del ans['choked'] del ans['FR'] ans_expect = {'FF': 0.9442375225233299, 'FLP': 0.5912597868996382, 'FP': 0.9969139124178094, 'Kv': 241.6812562245056, 'Rev': 6596962.21111206, 'laminar': False} for k in ans_expect.keys(): assert_close(ans[k], ans_expect[k]) # Modified example 2 with laminar flow at 100x viscosity, 100th flow rate, and 1/10th diameters: Kv = size_control_valve_l(rho=965.4, Psat=70.1E3, Pc=22120E3, mu=3.1472E-2, P1=680E3, P2=220E3, Q=0.001, D1=0.01, D2=0.01, d=0.01, FL=0.6, Fd=0.98) assert_close(Kv, 3.0947562381723626) # Last test, laminar full trim Kv = size_control_valve_l(rho=965.4, Psat=70.1E3, Pc=22120E3, mu=3.1472E-2, P1=680E3, P2=220E3, Q=0.001, D1=0.01, D2=0.01, d=0.02, FL=0.6, Fd=0.98) assert_close(Kv, 3.0947562381723626) # TODO: find a test where the following is tested, or remove it as unnecessary. # if C/FR >= Ci: # Ci = iterate_piping_laminar(Ci) # Efforts to make this happen have been unsuccessful. # Test the ignore choked option ans = size_control_valve_l(rho=965.4, Psat=70.1E3, Pc=22120E3, mu=3.1472E-4, P1=680E3, P2=220E3, Q=0.1, D1=0.1, D2=0.1, d=0.1, FL=0.6, Fd=0.98, allow_choked=False, full_output=True) assert_close(ans['Kv'], 164.9954763704956) assert_close(ans['Rev'], 7805019.992655547) assert ans['choked'] == True # Still true even though the choke is ignored assert ans['FF'] assert ans['FLP'] is None assert ans['FP'] is None assert ans['FR'] is None # Test the laminar switch for Kv, boolean in zip((0.014547698964079439, 0.011190537664676491), (True, False)): ans = size_control_valve_l(rho=965.4, Psat=70.1E3, Pc=22120E3, mu=3.1472E-4, P1=680E3, P2=670E3, Q=0.000001, D1=0.1, D2=0.1, d=0.1, FL=0.6, Fd=0.98, allow_laminar=boolean, full_output=True) assert_close(ans['Kv'], Kv) # Test for too many iterations, does not converge kwargs = {'allow_laminar': True, 'allow_choked': True, 'Fd': 1.0, 'FL': 1.0, 'D1': 0.1, 'D2': 0.1, 'd': 0.09, 'full_output': True, 'P1': 1000000.0, 'mu': 0.0008512512422708317, 'rho': 995.4212225776154, 'Pc': 22048320.0, 'Q': 0.004018399356246507, 'Psat': 3537.075987237396, 'P2': 999990.0} res = size_control_valve_l(**kwargs) assert 'warning' in res # Test 'choked' in results kwargs = {'allow_laminar': True, 'allow_choked': True, 'Fd': 0.42, 'FL': 0.85, 'D1': 0.08, 'D2': 0.1, 'd': 0.05, 'full_output': True, 'P1': 680000.0, 'mu': 2.099826023627934e-05, 'T': 433.0, 'MW': 44.0095, 'gamma': 1.2567580165935908, 'Z': 0.9896087377962121, 'xT': 0.6, 'Q': 1.0632314140418966, 'P2': 313744.8065927219} res = size_control_valve_g(**kwargs) assert res['choked'] def test_control_valve_size_g(): # From [1]_, matching example 3 for non-choked gas flow with attached # fittings and a rotary, eccentric plug, flow-to-open control valve: Kv = size_control_valve_g(T=433., MW=44.01, mu=1.4665E-4, gamma=1.30, Z=0.988, P1=680E3, P2=310E3, Q=38/36., D1=0.08, D2=0.1, d=0.05, FL=0.85, Fd=0.42, xT=0.60) assert_close(Kv, 72.58664545391052) # From [1]_, roughly matching example 4 for a small flow trim sized tapered # needle plug valve. Difference is 3% and explained by the difference in # algorithms used. Kv = size_control_valve_g(T=320., MW=39.95, mu=5.625E-5, gamma=1.67, Z=1.0, P1=2.8E5, P2=1.3E5, Q=0.46/3600., D1=0.015, D2=0.015, d=0.015, FL=0.98, Fd=0.07, xT=0.8) assert_close(Kv, 0.016498765335995726) # Diameters removed Kv = size_control_valve_g(T=320., MW=39.95, mu=5.625E-5, gamma=1.67, Z=1.0, P1=2.8E5, P2=1.3E5, Q=0.46/3600., xT=0.8) assert_close(Kv, 0.012691357950765944) ans = size_control_valve_g(T=320., MW=39.95, mu=5.625E-5, gamma=1.67, Z=1.0, P1=2.8E5, P2=1.3E5, Q=0.46/3600., xT=0.8, full_output=True) assert ans['laminar'] == False assert ans['choked'] == False assert ans['FP'] is None assert ans['FR'] is None assert ans['xTP'] is None assert ans['Rev'] is None # Choked custom example Kv = size_control_valve_g(T=433., MW=44.01, mu=1.4665E-4, gamma=1.30, Z=0.988, P1=680E3, P2=30E3, Q=38/36., D1=0.08, D2=0.1, d=0.05, FL=0.85, Fd=0.42, xT=0.60) assert_close(Kv, 70.67468803987839) # Laminar custom example Kv = size_control_valve_g(T=320., MW=39.95, mu=5.625E-5, gamma=1.67, Z=1.0, P1=2.8E5, P2=1.3E5, Q=0.46/3600., D1=0.015, D2=0.015, d=0.001, FL=0.98, Fd=0.07, xT=0.8) assert_close(Kv, 0.016498765335995726) # Laminar custom example with iteration Kv = size_control_valve_g(T=320., MW=39.95, mu=5.625E-5, gamma=1.67, Z=1.0, P1=2.8E5, P2=2.7E5, Q=0.1/3600., D1=0.015, D2=0.015, d=0.001, FL=0.98, Fd=0.07, xT=0.8) assert_close(Kv, 0.989125783445497) # test not allowing chokes ans_choked = size_control_valve_g(T=320., MW=39.95, mu=5.625E-5, gamma=1.67, Z=1.0, P1=2.8E5, P2=1e4, Q=0.46/3600., D1=0.015, D2=0.015, d=0.015, FL=0.98, Fd=0.07, xT=0.8, full_output=True, allow_choked=True) ans = size_control_valve_g(T=320., MW=39.95, mu=5.625E-5, gamma=1.67, Z=1.0, P1=2.8E5, P2=1e4, Q=0.46/3600., D1=0.015, D2=0.015, d=0.015, FL=0.98, Fd=0.07, xT=0.8, full_output=True, allow_choked=False) assert not isclose(ans_choked['Kv'], ans['Kv'], rel_tol=1E-4) # Test not allowing laminar for Kv, boolean in zip((0.001179609179354541, 0.00090739167642657), (True, False)): ans = size_control_valve_g(T=320., MW=39.95, mu=5.625E-5, gamma=1.67, Z=1.0, P1=2.8E5, P2=1e4, Q=1e-5, D1=0.015, D2=0.015, d=0.015, FL=0.98, Fd=0.07, xT=0.8, full_output=True, allow_laminar=boolean) assert_close(Kv, ans['Kv']) assert ans['choked'] # Still true even though the choke is ignored assert ans['xTP'] is None assert ans['Y'] assert ans['FP'] is None assert ans['FR'] is None assert ans['Rev'] # Test a warning is issued and a solution is still returned when in an unending loop # Ends with C ratio converged to 0.907207790871228 args = {'P1': 680000.0, 'full_output': True, 'allow_choked': True, 'Q': 0.24873053149856303, 'T': 433.0, 'Z': 0.9908749375670418, 'FL': 0.85, 'allow_laminar': True, 'd': 0.05, 'mu': 2.119519588834806e-05, 'MW': 44.0095, 'Fd': 0.42, 'gamma': 1.2431389717945152, 'D2': 0.1, 'xT': 0.6, 'D1': 0.08} ans = size_control_valve_g(P2=678000., **args) assert ans['warning'] # Test Kv does not reach infinity kwargs = {'P2': 310000.0028935982, 'P1': 680000.0, 'full_output': True, 'allow_choked': True, 'T': 433.0, 'Z': 0.9896087377962123, 'FL': 0.85, 'allow_laminar': True, 'd': 0.05, 'mu': 2.119519588834806e-05, 'MW': 44.0095, 'Fd': 0.42, 'gamma': 1.2431389717945152, 'D2': 0.1, 'xT': 0.6, 'D1': 0.08} size_control_valve_g(Q=1000000000.0, **kwargs) def test_control_valve_choke_P_l(): P2 = control_valve_choke_P_l(69682.89291024722, 22048320.0, 0.6, 680000.0) assert_close(P2, 458887.5306077305) P1 = control_valve_choke_P_l(69682.89291024722, 22048320.0, 0.6, P2=P2) assert_close(P1, 680000.0) def test_control_valve_choke_P_g(): P2 = control_valve_choke_P_g(1.0, 1.3, 1E5) assert_close(P2, 7142.857142857143) P1 = control_valve_choke_P_g(1.0, 1.3, P2=P2) assert_close(P1, 100000.0) def test_control_valve_noise_l_2015(): m = 30 # kg/s P1 = 1E6 P2 = 8E5 Psat = 2.32E3 rho = 997.0 c = 1400.0 Kv = Cv_to_Kv(90) d = .1 Di =.1071 FL = 0.92 Fd = 0.42 rho_air = 1.293 c_air = 343.0 t_pipe = .0036 # Example 1 noise = control_valve_noise_l_2015(m, P1, P2, Psat, rho, c, Kv, d, Di, FL, Fd, t_pipe, rho_pipe=7800.0, c_pipe=5000.0, rho_air=rho_air, c_air=343.0, xFz=None, An=-4.6) assert_close(noise, 65.47210071692108) # Example 2 m = 40 # kg/s P1 = 1E6 P2 = 6.5E5 noise = control_valve_noise_l_2015(m, P1, P2, Psat, rho, c, Kv, d, Di, FL, Fd, t_pipe, rho_pipe=7800.0, c_pipe=5000.0, rho_air=rho_air, c_air=343.0, xFz=None, An=-4.6) assert_close(noise, 81.58199982219298) # Example 3 m = 40 # kg/s P1 = 1E6 P2 = 6.5E5 noise = control_valve_noise_l_2015(m, P1, P2, Psat, rho, c, Kv, d, Di, FL, Fd, t_pipe, rho_pipe=7800.0, c_pipe=5000.0, rho_air=rho_air, c_air=343.0, xFz=0.254340899267+0.1, An=-4.6) assert_close(noise, 69.93930269695811) def test_control_valve_noise_g_2011(): ans = control_valve_noise_g_2011(m=2.22, P1=1E6, P2=7.2E5, T1=450, rho=5.3, gamma=1.22, MW=19.8, Kv=Cv_to_Kv(90.0), d=0.1, Di=0.2031, FL=None, FLP=0.792, FP=0.98, Fd=0.2959450058448346, t_pipe=0.008, rho_pipe=8000.0, c_pipe=5000.0, rho_air=1.293, c_air=343.0, An=-3.8, Stp=0.2) assert_close(ans, 91.67631681476502) ans = control_valve_noise_g_2011(m=2.29, P1=1E6, P2=6.9E5, T1=450, rho=5.3, gamma=1.22, MW=19.8, Kv=Cv_to_Kv(90.0), d=0.1, Di=0.2031, FL=None, FLP=0.792, FP=0.98, Fd=0.2959450058448346, t_pipe=0.008, rho_pipe=8000.0, c_pipe=5000.0, rho_air=1.293, c_air=343.0, An=-3.8, Stp=0.2) assert_close(ans, 92.80027236454005) ans = control_valve_noise_g_2011(m=2.59, P1=1E6, P2=4.8E5, T1=450, rho=5.3, gamma=1.22, MW=19.8, Kv=Cv_to_Kv(90.0), d=0.1, Di=0.2031, FL=None, FLP=0.792, FP=0.98, Fd=0.2959450058448346, t_pipe=0.008, rho_pipe=8000.0, c_pipe=5000.0, rho_air=1.293, c_air=343.0, An=-3.8, Stp=0.2) assert_close(97.65988432967984, ans) ans = control_valve_noise_g_2011(m=1.18, P1=1E6, P2=4.2E5, T1=450, rho=5.3, gamma=1.22, MW=19.8, Kv=Cv_to_Kv(40.0), d=0.2031, Di=0.2031, FL=None, FLP=0.792, FP=0.98, Fd=0.2959450058448346, t_pipe=0.008, rho_pipe=8000.0, c_pipe=5000.0, rho_air=1.293, c_air=343.0, An=-3.8, Stp=0.2) assert_close(94.16189978031449, ans)# should be 94 ans = control_valve_noise_g_2011(m=1.19, P1=1E6, P2=5E4, T1=450, rho=5.3, gamma=1.22, MW=19.8, Kv=Cv_to_Kv(40.0), d=0.2031, Di=0.2031, FL=None, FLP=0.792, FP=0.98, Fd=0.2959450058448346, t_pipe=0.008, rho_pipe=8000.0, c_pipe=5000.0, rho_air=1.293, c_air=343.0, An=-3.8, Stp=0.2) assert_close(ans, 97.48317214321824) ans = control_valve_noise_g_2011(m=0.89, P1=1E6, P2=5E4, T1=450, rho=5.3, gamma=1.22, MW=19.8, Kv=Cv_to_Kv(30.0), d=0.1, Di=0.15, FL=None, FLP=0.792, FP=0.98, Fd=0.2959450058448346, t_pipe=0.008, rho_pipe=8000.0, c_pipe=5000.0, rho_air=1.293, c_air=343.0, An=-3.8, Stp=0.2) assert_close(ans, 93.38835049261132) @pytest.mark.scipy def test_opening_quick_data(): # Add some tolerance to tests after failures on arm64 https://bugs.debian.org/cgi-bin/bugreport.cgi?bug=976558 from scipy.interpolate import splrep from fluids.control_valve import opening_quick_tck, opening_quick, frac_CV_quick tck_recalc = splrep(opening_quick, frac_CV_quick, k=3, s=0) [assert_close1d(i, j, atol=1e-10) for i, j in zip(opening_quick_tck[:-1], tck_recalc[:-1])] @pytest.mark.scipy def test_opening_equal_data(): # Add some tolerance to tests after failures on arm64 https://bugs.debian.org/cgi-bin/bugreport.cgi?bug=976558 from scipy.interpolate import splrep from fluids.control_valve import opening_equal, frac_CV_equal, opening_equal_tck tck_recalc = splrep(opening_equal, frac_CV_equal, k=3, s=0) [assert_close1d(i, j, atol=1e-10) for i, j in zip(opening_equal_tck[:-1], tck_recalc[:-1])] fluids-1.0.22/tests/test_friction.py0000644000175000017500000004720014302004506016775 0ustar nileshnilesh# -*- coding: utf-8 -*- '''Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2016, 2017 2018 Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.''' from __future__ import division from math import log10, log, exp, isnan, pi from fluids.numerics import secant, logspace, linspace, assert_close, assert_close1d, assert_close2d, assert_close3d import fluids.friction from fluids.friction import * import pytest from fluids.friction import _roughness, _Farshad_roughness try: import fuzzywuzzy has_fuzzywuzzy = True except: has_fuzzywuzzy = False try: import mpmath has_mpmath = True except: has_mpmath = False def test_friction_basic(): assert_close(Moody(1E5, 1E-4), 0.01809185666808665) assert_close(Alshul_1952(1E5, 1E-4), 0.018382997825686878) assert_close(Wood_1966(1E5, 1E-4), 0.021587570560090762) assert_close(Churchill_1973(1E5, 1E-4), 0.01846708694482294) assert_close(Eck_1973(1E5, 1E-4), 0.01775666973488564) assert_close(Jain_1976(1E5, 1E-4), 0.018436560312693327) assert_close(Swamee_Jain_1976(1E5, 1E-4), 0.018452424431901808) assert_close(Churchill_1977(1E5, 1E-4), 0.018462624566280075) assert_close(Chen_1979(1E5, 1E-4), 0.018552817507472126) assert_close(Round_1980(1E5, 1E-4), 0.01831475391244354) assert_close(Shacham_1980(1E5, 1E-4), 0.01860641215097828) assert_close(Barr_1981(1E5, 1E-4), 0.01849836032779929) assert_close(Zigrang_Sylvester_1(1E5, 1E-4), 0.018646892425980794) assert_close(Zigrang_Sylvester_2(1E5, 1E-4), 0.01850021312358548) assert_close(Haaland(1E5, 1E-4), 0.018265053014793857) assert_close(Serghides_1(1E5, 1E-4), 0.01851358983180063) assert_close(Serghides_2(1E5, 1E-4), 0.018486377560664482) assert_close(Tsal_1989(1E5, 1E-4), 0.018382997825686878) assert_close(Tsal_1989(1E8, 1E-4), 0.012165854627780102) assert_close(Manadilli_1997(1E5, 1E-4), 0.01856964649724108) assert_close(Romeo_2002(1E5, 1E-4), 0.018530291219676177) assert_close(Sonnad_Goudar_2006(1E5, 1E-4), 0.0185971269898162) assert_close(Rao_Kumar_2007(1E5, 1E-4), 0.01197759334600925) assert_close(Buzzelli_2008(1E5, 1E-4), 0.018513948401365277) assert_close(Avci_Karagoz_2009(1E5, 1E-4), 0.01857058061066499) assert_close(Papaevangelo_2010(1E5, 1E-4), 0.015685600818488177) assert_close(Brkic_2011_1(1E5, 1E-4), 0.01812455874141297) assert_close(Brkic_2011_2(1E5, 1E-4), 0.018619745410688716) assert_close(Fang_2011(1E5, 1E-4), 0.018481390682985432) assert_close(Clamond(1E5, 1E-4), 0.01851386607747165) assert_close(Clamond(1E5, 1E-4, fast=True), 0.01851486771096876) assert_close(friction_laminar(128), 0.5) assert_close(Blasius(10000.0), 0.03164) fd = ft_Crane(.1) assert_close(fd, 0.01628845962146481) assert_close(ft_Crane(1e-5), 604.8402578042682) def test_friction(): assert_close(sum(_roughness.values()), 0.01504508) assert_close(friction_factor(Re=1E5, eD=1E-4), 0.01851386607747165) methods_1 = friction_factor_methods(Re=1E5, eD=1E-4) methods_1.sort() methods_2 = ['Clamond', 'Colebrook', 'Manadilli_1997', 'Haaland', 'Alshul_1952', 'Avci_Karagoz_2009', 'Rao_Kumar_2007', 'Zigrang_Sylvester_2', 'Eck_1973', 'Buzzelli_2008', 'Tsal_1989', 'Papaevangelo_2010', 'Barr_1981', 'Jain_1976', 'Moody', 'Brkic_2011_2', 'Brkic_2011_1', 'Swamee_Jain_1976', 'Wood_1966', 'Shacham_1980', 'Romeo_2002', 'Chen_1979', 'Fang_2011', 'Round_1980', 'Sonnad_Goudar_2006', 'Churchill_1973', 'Churchill_1977', 'Serghides_2', 'Serghides_1', 'Zigrang_Sylvester_1'] methods_2.sort() assert methods_1 == methods_2 assert_close(friction_factor(Re=1E5, eD=1E-4, Darcy=False), 0.01851386607747165/4) assert_close(friction_factor(Re=128), 0.5) assert_close(friction_factor(Re=1E5, eD=0, Method=None), 0.01798977308427384) assert_close(friction_factor(20000, eD=0.0, Method='laminar'), 0.0032) with pytest.raises(ValueError): friction_factor(Re=1E5, eD=0, Method='BADMETHOD') assert ['laminar'] == friction_factor_methods(200, 0, True) assert 31 == len(friction_factor_methods(200, 0, False)) for m in friction_factor_methods(200, 0, False): friction_factor(Re=1E5, eD=1e-6, Method=m) fd = ft_Crane(.1) Di = 0.1 fd_act = Clamond(7.5E6*Di, eD=roughness_Farshad(ID='Carbon steel, bare', D=Di)/Di) assert_close(fd, fd_act, rtol=5e-6) def test_friction_Colebrook(): assert_close(Colebrook(1E5, 1E-4), 0.018513866077471648) # Test the colebrook is the clamond when tol=-1 assert Colebrook(1E5, 1E-4, -1) == Clamond(1E5, 1E-4) # Test the colebrook is the analytical solution when Re < 10 # even when the clamond solution is specified assert Colebrook(1, 1E-4, -1) == Colebrook(1, 1e-4) @pytest.mark.slow @pytest.mark.mpmath @pytest.mark.skipif(not has_mpmath, reason='mpmath is not installed') def test_Colebrook_numerical_mpmath(): # tested at n=500 for both Re and eD Res = logspace(log10(1e-12), log10(1E12), 30) # 1E12 is too large for sympy - it slows down too much eDs = logspace(log10(1e-20), log10(.1), 21) # 1-1e-9 for Re in Res: for eD in eDs: fd_exact = Colebrook(Re, eD, tol=0) fd_numerical = Colebrook(Re, eD, tol=1e-12) assert_close(fd_exact, fd_numerical, rtol=1e-5) @pytest.mark.slow @pytest.mark.mpmath @pytest.mark.skipif(not has_mpmath, reason='mpmath is not installed') def test_Colebrook_scipy_mpmath(): # Faily grueling test - check the lambertw implementations are matching mostly # NOTE the test is to Re = 1E7; at higher Res the numerical solver is almost # always used Res = logspace(log10(1e-12), log10(1e7), 20) # 1E12 is too large for sympy eDs = logspace(log10(1e-20), log10(.1), 19) # 1-1e-9 for Re in Res: for eD in eDs: Re = float(Re) eD = float(eD) fd_exact = Colebrook(Re, eD, tol=0) fd_scipy = Colebrook(Re, eD) assert_close(fd_exact, fd_scipy, rtol=1e-9) @pytest.mark.slow def test_Colebrook_vs_Clamond(): Res = logspace(log10(10), log10(1E50), 40) eDs = logspace(log10(1e-20), log10(1), 40) for Re in Res: for eD in eDs: fd_exact = Colebrook(Re, eD) fd_clamond = Clamond(Re, eD) # Interestingly, matches to rtol=1e-9 vs. numerical solver # But does not have such accuracy compared to mpmath if isnan(fd_exact) or isnan(fd_clamond): continue # older scipy on 3.4 returns a nan sometimes assert_close(fd_exact, fd_clamond, rtol=1e-9) # If rtol is moved to 1E-7, eD can be increased to 1 @pytest.mark.mpmath def test_Colebrook_hard_regimes(): fd_inf_regime = Colebrook(104800000000, 2.55e-08) assert_close(fd_inf_regime, 0.0037751087365339906, rtol=1e-10) def test_one_phase_dP(): dP = one_phase_dP(10.0, 1000., 1E-5, .1, L=1.000) assert_close(dP, 63.43447321097365) def test_one_phase_dP_gravitational(): dP = one_phase_dP_gravitational(angle=90., rho=2.6) assert_close(dP, 25.49729) dP = one_phase_dP_gravitational(angle=90, rho=2.6, L=2.) assert_close(dP, 25.49729*2) def test_one_phase_dP_dz_acceleration(): dP = one_phase_dP_dz_acceleration(m=1., D=0.1, rho=827.1, dv_dP=-1.1E-5, dP_dL=5E5, dA_dL=0.0001) assert_close(dP, 89162.89116373913) @pytest.mark.slow @pytest.mark.thermo @pytest.mark.skip def test_one_phase_dP_dz_acceleration_example(): # This requires thermo! from thermo import Stream, Vm_to_rho from fluids import one_phase_dP, one_phase_dP_acceleration import numpy as np from scipy.integrate import odeint from fluids.numerics import assert_close P0 = 1E5 s = Stream(['nitrogen', 'methane'], T=300, P=P0, zs=[0.5, 0.5], m=1) rho0 = s.rho D = 0.1 def dP_dz(P, L, acc=False): s.flash(P=float(P), Hm=s.Hm) dPf = one_phase_dP(m=s.m, rho=s.rhog, mu=s.rhog, D=D, roughness=0, L=1.0) if acc: G = 4.0*s.m/(pi*D*D) der = s.VolumeGasMixture.property_derivative_P(P=s.P, T=s.T, zs=s.zs, ws=s.ws) der = 1/Vm_to_rho(der, s.MW) factor = G*G*der dP = dPf/(1.0 + factor) return -dP return -dPf ls = linspace(0, .01) dP_noacc = odeint(dP_dz, s.P, ls, args=(False,))[-1] s.flash(P=float(P0), Hm=s.Hm) # Reset the stream object profile = odeint(dP_dz, s.P, ls, args=(True,)) dP_acc = profile[-1] s.flash(P=dP_acc, Hm=s.Hm) rho1 = s.rho dP_acc_numerical = dP_noacc - dP_acc dP_acc_basic = one_phase_dP_acceleration(m=s.m, D=D, rho_o=rho1, rho_i=rho0) assert_close(dP_acc_basic, dP_acc_numerical, rtol=1E-4) del test_one_phase_dP_dz_acceleration_example def test_transmission_factor(): assert_close(transmission_factor(fd=0.0185), 14.704292441876154) assert_close(transmission_factor(F=14.704292441876154), 0.0185) assert_close(transmission_factor(0.0185), 14.704292441876154) # Example in [1]_, lists answer as 12.65 assert_close(transmission_factor(fd=0.025), 12.649110640673516) with pytest.raises(Exception): transmission_factor() def test_roughness_Farshad(): e = roughness_Farshad('Cr13, bare', 0.05) assert_close(e, 5.3141677781137006e-05) e = roughness_Farshad('Cr13, bare') assert_close(e, 5.5e-05) e = roughness_Farshad(coeffs=(0.0021, -1.0055), D=0.05) assert_close(e, 5.3141677781137006e-05) tot = sum([abs(j) for i in _Farshad_roughness.values() for j in i]) assert_close(tot, 7.0729095) with pytest.raises(Exception): roughness_Farshad('BADID', 0.05) @pytest.mark.skipif(not has_fuzzywuzzy, reason='missing fuzzywuzzy') def test_nearest_material_roughness(): hit1 = nearest_material_roughness('condensate pipes', clean=False) assert hit1 == 'Seamless steel tubes, Condensate pipes in open systems or periodically operated steam pipelines' hit2 = nearest_material_roughness('Plastic', clean=True) assert hit2 == 'Plastic coated' @pytest.mark.skipif(not has_fuzzywuzzy, reason='missing fuzzywuzzy') def test_material_roughness(): e1 = material_roughness('Plastic coated') assert_close(e1, 5e-06) e2 = material_roughness('Plastic coated', D=1E-3) assert_close(e2, 5.243618447826409e-06) e3 = material_roughness('Brass') assert_close(e3, 1.52e-06) e4 = material_roughness('condensate pipes') assert_close(e4, 0.0005) ID = 'Old, poor fitting and manufacture; with an overgrown surface' e5 = [material_roughness(ID, optimism=i) for i in (True, False)] assert_close1d(e5, [0.001, 0.004]) def test_von_Karman(): f = von_Karman(1E-4) f_precalc = 0.01197365149564789 assert_close(f, f_precalc) def Prandtl_von_Karman_Nikuradse_numeric(Re): rat = 2.51/Re def to_solve(f): # Good to 1E75, down to 1E-17 v = f**-0.5 return v + 2.0*log10(rat*v) return secant(to_solve, 0.000001) def test_Prandtl_von_Karman_Nikuradse(): Re = 200 assert_close(Prandtl_von_Karman_Nikuradse_numeric(Re), Prandtl_von_Karman_Nikuradse(Re)) def test_Prandtl_von_Karman_Nikuradse_full(): # Tested to a very high number of points fds = [] fds_numeric = [] for Re in logspace(1E-15, 30, 40): fds.append(Prandtl_von_Karman_Nikuradse_numeric(Re)) fds_numeric.append(Prandtl_von_Karman_Nikuradse(Re)) assert_close1d(fds, fds_numeric) def test_helical_laminar_fd_White(): fd = helical_laminar_fd_White(250., .02, .1) assert_close(fd, 0.4063281817830202) assert_close(helical_laminar_fd_White(250, .02, 100), 0.256) def test_helical_laminar_fd_Mori_Nakayama(): fd = helical_laminar_fd_Mori_Nakayama(250., .02, .1) assert_close(fd, 0.4222458285779544) assert_close(4.4969472, helical_laminar_fd_Mori_Nakayama(20, .02, .1)) def test_helical_laminar_fd_Schmidt(): fd = helical_laminar_fd_Schmidt(250., .02, .1) assert_close(fd, 0.47460725672835236) # Test convergence at low curvature assert_close(helical_laminar_fd_Schmidt(250., 1, 1E10), friction_laminar(250)) def test_helical_turbulent_fd_Srinivasan(): fd = helical_turbulent_fd_Srinivasan(1E4, 0.01, .02) assert_close(fd, 0.0570745212117107) def test_helical_turbulent_fd_Schmidt(): fd = helical_turbulent_fd_Schmidt(1E4, 0.01, .02) assert_close(fd, 0.08875550767040916) fd = helical_turbulent_fd_Schmidt(1E4, 0.01, .2) assert_close(fd, 0.04476560991345504) assert_close(friction_factor(1E4), helical_turbulent_fd_Schmidt(1E4, 0.01, 1E11)) fd = helical_turbulent_fd_Schmidt(1E6, 0.01, .02) assert_close(fd, 0.04312877383550924) def test_helical_turbulent_fd_Mori_Nakayama(): # Formula in [1]_ is hard to read, but the powers have been confirmed in # two sources to be 1/5. [3]_ butchers the formula's brackets/power raising, # but is otherwise correct. fd = helical_turbulent_fd_Mori_Nakayama(1E4, 0.01, .2) assert_close(fd, 0.037311802071379796) def test_helical_turbulent_fd_Prasad(): # Checks out, formula in [2]_ is the same as in [1]_! fd = helical_turbulent_fd_Prasad(1E4, 0.01, .2) assert_close(fd, 0.043313098093994626) assert_close(helical_turbulent_fd_Prasad(1E4, 0.01, 1E20), friction_factor(1E4)) def test_helical_turbulent_fd_Czop(): fd = helical_turbulent_fd_Czop(1E4, 0.01, .2) assert_close(fd, 0.02979575250574106) def test_helical_turbulent_fd_Guo(): fd = helical_turbulent_fd_Guo(2E5, 0.01, .2) assert_close(fd, 0.022189161013253147) def test_helical_turbulent_fd_Ju(): fd = helical_turbulent_fd_Ju(1E4, 0.01, .2) assert_close(fd, 0.04945959480770937) assert_close(helical_turbulent_fd_Ju(1E4, 0.01, 1E80), friction_factor(1E4)) def test_helical_turbulent_fd_Mandal_Nigam(): fd = helical_turbulent_fd_Mandal_Nigam(1E4, 0.01, .2) assert_close(fd, 0.03831658117115902) assert_close(helical_turbulent_fd_Mandal_Nigam(1E4, 0.01, 1E80), friction_factor(1E4)) def test_helical_transition_Re_Seth_Stahel(): # Read the original assert_close(helical_transition_Re_Seth_Stahel(1, 7.), 7645.0599897402535) assert_close(helical_transition_Re_Seth_Stahel(1, 1E20), 1900) def test_helical_transition_Re_Ito(): assert_close(helical_transition_Re_Ito(1, 7.), 10729.972844697186) def test_helical_transition_Re_Kubair_Kuloor(): assert_close(helical_transition_Re_Kubair_Kuloor(1, 7), 8625.986927588123) def test_helical_transition_Re_Kutateladze_Borishanskii(): assert_close(helical_transition_Re_Kutateladze_Borishanskii(1, 7.), 7121.143774574058) assert_close(helical_transition_Re_Kutateladze_Borishanskii(1, 1E20), 2300) def test_helical_transition_Re_Schmidt(): assert_close(helical_transition_Re_Schmidt(1, 7.), 10540.094061770815) assert_close(helical_transition_Re_Schmidt(1, 1E20), 2300) def test_helical_transition_Re_Srinivasan(): assert_close(helical_transition_Re_Srinivasan(1, 7.), 11624.704719832524,) assert_close(helical_transition_Re_Srinivasan(1, 1E20), 2100) def test_friction_factor_curved(): fd = friction_factor_curved(2E4, 0.01, .02) assert_close(fd, 0.050134646621603024) fd = friction_factor_curved(250, .02, .1) assert_close(fd, 0.47460725672835236) fd_transition = [friction_factor_curved(i, 0.01, .02) for i in [16779, 16780]] assert_close1d(fd_transition, [0.03323676794260526, 0.057221855744623344]) with pytest.raises(Exception): friction_factor_curved(16779, 0.01, .02, Method='BADMETHOD') with pytest.raises(Exception): friction_factor_curved(16779, 0.01, .02, Rec_method='BADMETHOD') fd_rough_false = friction_factor_curved(20000, 0.01, .02, roughness=.0001, turbulent_method='Guo') assert_close(fd_rough_false, 0.1014240343662085) methods = friction_factor_curved_methods(20000, 0.01, .02, check_ranges=True) assert sorted(methods) == sorted(['Guo','Ju','Schmidt turbulent','Prasad','Mandel Nigam','Mori Nakayama turbulent','Czop', 'Srinivasan turbulent']) methods = friction_factor_curved_methods(2000, 0.01, .02, check_ranges=True) assert sorted(methods) == sorted(['White', 'Schmidt laminar', 'Mori Nakayama laminar']) assert 'Schmidt turbulent' in friction_factor_curved_methods(Re=1E5, Di=0.02, Dc=0.5) assert 11 == len(friction_factor_curved_methods(Re=1E5, Di=0.02, Dc=0.5, check_ranges=False)) for m in friction_factor_curved_methods(Re=1E5, Di=0.02, Dc=0.5, check_ranges=False): friction_factor_curved(2000, 0.01, .02, Method=m) # Test the Fanning case fd = friction_factor_curved(2E4, 0.01, .02, Darcy=False) assert_close(fd, 0.012533661655400756) for m in ['Seth Stahel', 'Ito', 'Kubair Kuloor', 'Kutateladze Borishanskii', 'Schmidt', 'Srinivasan']: helical_Re_crit(Di=0.02, Dc=0.5, Method=m) def test_friction_plate(): fd = friction_plate_Martin_1999(Re=20000., plate_enlargement_factor=1.15) assert_close(fd, 2.284018089834134) fd = friction_plate_Martin_1999(Re=1999., plate_enlargement_factor=1.15) assert_close(fd, 2.749383588479863) fd = friction_plate_Martin_VDI(Re=20000., plate_enlargement_factor=1.15) assert_close(fd, 2.702534119024076) fd = friction_plate_Martin_VDI(Re=1999., plate_enlargement_factor=1.15) assert_close(fd, 3.294294334690556) fd = friction_plate_Muley_Manglik(Re=2000., chevron_angle=45., plate_enlargement_factor=1.2) assert_close(fd, 1.0880870804075413) def test_friction_Kumar(): from fluids.friction import Kumar_beta_list, Kumar_fd_Res fd = friction_plate_Kumar(2000, 30) assert_close(fd, 2.9760669055634517) all_ans_expect = [[[22.22222222222222, 18.900854099814858, 5.181226661414687, 5.139730745446174], [20.88888888888889, 17.09090909090909, 3.656954441625244, 3.609575756782771]], [[13.428571428571427, 12.000171923243482, 1.7788367041690634, 1.7788497785371564], [9.714285714285714, 8.5, 1.2332865464612235, 1.2320492987599356]], [[7.157894736842104, 6.590102034105372, 1.2332865464612235, 1.2320492987599356], [5.052631578947368, 4.571428571428571, 0.9576862861589914, 0.9547729646969146]], [[2.4615384615384617, 2.374448634025773, 0.8393834232628009, 0.8379103279437352], [2.4615384615384617, 2.3414634146341466, 0.7519331759748705, 0.7502394735017442]], [[1.9591836734693877, 1.9015330284979595, 0.6797898512309091, 0.6799788644298855], [1.9591836734693877, 1.9015330284979595, 0.6797898512309091, 0.6799788644298855]]] all_ans = [] for i, beta_main in enumerate(Kumar_beta_list): beta_ans = [] for beta in (beta_main-1, beta_main+1): Re_ans = [] for Re_main in Kumar_fd_Res[i]: for Re in [Re_main-1, Re_main+1]: ans = friction_plate_Kumar(Re, beta) Re_ans.append(ans) beta_ans.append(Re_ans) all_ans.append(beta_ans) assert_close3d(all_ans, all_ans_expect) fluids-1.0.22/tests/spa/0000755000175000017500000000000014302004506014327 5ustar nileshnileshfluids-1.0.22/tests/spa/test_spa.py0000644000175000017500000004535114302004506016533 0ustar nileshnilesh# -*- coding: utf-8 -*- """ test_spa unit test suite from pvlib =================================== Vendorized version from: https://github.com/pvlib/pvlib-python/ The rational for not including this library as a strict dependency is to avoid including a dependency on pandas, keeping load time low, and PyPy compatibility . .. moduleauthor :: Tony Lorenzo .. moduleauthor :: Will Holmgren .. moduleauthor :: Volker Beutner < VolkerBeu@gmail.com > Some tests were changed and added as well. The copyright notice (BSD-3 clause) is as follows: BSD 3-Clause License Copyright (c) 2013-2018, Sandia National Laboratories and pvlib python Development Team All rights reserved. Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met: Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer. Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution. Neither the name of the {organization} nor the names of its contributors may be used to endorse or promote products derived from this software without specific prior written permission. THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. """ import os import datetime as dt try: from importlib import reload except ImportError: try: from imp import reload except ImportError: pass import numpy as np from numpy.testing import assert_almost_equal, assert_allclose import pandas as pd import unittest import pytest try: from numba import __version__ as numba_version numba_version_int = int(numba_version.split('.')[0] + numba_version.split('.')[1]) except ImportError: numba_version_int = 0 except: numba_version_int = -1 from fluids.optional import spa times = (pd.date_range('2003-10-17 12:30:30', periods=1, freq='D') .tz_localize('MST')) unixtimes = np.array(times.tz_convert('UTC').view(np.int64)*1.0/10**9) unixtimes = float(np.array(times.tz_convert('UTC').view(np.int64)*1.0/10**9)[0]) lat = 39.742476 lon = -105.1786 elev = 1830.14 pressure = 820 temp = 11 delta_t = 67.0 atmos_refract= 0.5667 JD = 2452930.312847 JC = 0.0379277986858 JDE = 2452930.313623 JCE = 0.037927819916852 JME = 0.003792781991685 L = 24.0182616917 B = -0.0001011219 R = 0.9965422974 Theta = 204.0182616917 beta = 0.0001011219 X0 = 17185.861179 X1 = 1722.893218 X2 = 18234.075703 X3 = 18420.071012 X4 = 51.686951 dPsi = -0.00399840 dEpsilon = 0.00166657 epsilon0 = 84379.672625 epsilon = 23.440465 dTau = -0.005711 lamd = 204.0085519281 v0 = 318.515579 v = 318.511910 alpha = 202.227408 delta = -9.31434 H = 11.10590 xi = 0.002451 dAlpha = -0.000369 alpha_prime = 202.22704 delta_prime = -9.316179 H_prime = 11.10627 e0 = 39.872046 de = 0.016332 e = 39.888378 theta = 50.11162 theta0 = 90 - e0 Gamma = 14.340241 Phi = 194.340241 year = 1985 month = 2 year_array = np.array([-499, 500, 1000, 1500, 1800, 1900, 1950, 1970, 1985, 1990, 2000, 2005]) month_array = np.array([1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12]) dt_actual = 54.413442486 dt_actual_array = np.array([1.7184831e+04, 5.7088051e+03, 1.5730419e+03, 1.9801820e+02, 1.3596506e+01, -2.1171894e+00, 2.9289261e+01, 4.0824887e+01, 5.4724581e+01, 5.7426651e+01, 6.4108015e+01, 6.5038015e+01]) mix_year_array = np.full((10), year) mix_month_array = np.full((10), month) mix_year_actual = np.full((10), dt_actual) mix_month_actual = mix_year_actual class SpaBase(object): """Test functions common to numpy and numba spa""" def test_julian_day_dt(self): dt = times.tz_convert('UTC')[0] year = dt.year month = dt.month day = dt.day hour = dt.hour minute = dt.minute second = dt.second microsecond = dt.microsecond assert_almost_equal(JD, self.spa.julian_day_dt(year, month, day, hour, minute, second, microsecond), 6) def test_julian_ephemeris_day(self): assert_almost_equal(JDE, self.spa.julian_ephemeris_day(JD, delta_t), 5) def test_julian_century(self): assert_almost_equal(JC, self.spa.julian_century(JD), 6) def test_julian_ephemeris_century(self): assert_almost_equal(JCE, self.spa.julian_ephemeris_century(JDE), 10) def test_julian_ephemeris_millenium(self): assert_almost_equal(JME, self.spa.julian_ephemeris_millennium(JCE), 10) def test_heliocentric_longitude(self): assert_almost_equal(L, self.spa.heliocentric_longitude(JME), 6) def test_heliocentric_latitude(self): assert_almost_equal(B, self.spa.heliocentric_latitude(JME), 6) def test_heliocentric_radius_vector(self): assert_almost_equal(R, self.spa.heliocentric_radius_vector(JME), 6) def test_geocentric_longitude(self): assert_almost_equal(Theta, self.spa.geocentric_longitude(L), 6) def test_geocentric_latitude(self): assert_almost_equal(beta, self.spa.geocentric_latitude(B), 6) def test_mean_elongation(self): assert_almost_equal(X0, self.spa.mean_elongation(JCE), 5) def test_mean_anomaly_sun(self): assert_almost_equal(X1, self.spa.mean_anomaly_sun(JCE), 5) def test_mean_anomaly_moon(self): assert_almost_equal(X2, self.spa.mean_anomaly_moon(JCE), 5) def test_moon_argument_latitude(self): assert_almost_equal(X3, self.spa.moon_argument_latitude(JCE), 5) def test_moon_ascending_longitude(self): assert_almost_equal(X4, self.spa.moon_ascending_longitude(JCE), 6) def test_longitude_nutation(self): assert_almost_equal(dPsi, self.spa.longitude_nutation(JCE, X0, X1, X2, X3, X4), 6) def test_obliquity_nutation(self): assert_almost_equal(dEpsilon, self.spa.obliquity_nutation(JCE, X0, X1, X2, X3, X4), 6) def test_mean_ecliptic_obliquity(self): assert_almost_equal(epsilon0, self.spa.mean_ecliptic_obliquity(JME), 6) def test_true_ecliptic_obliquity(self): assert_almost_equal(epsilon, self.spa.true_ecliptic_obliquity( epsilon0, dEpsilon), 6) def test_aberration_correction(self): assert_almost_equal(dTau, self.spa.aberration_correction(R), 6) def test_apparent_sun_longitude(self): assert_almost_equal(lamd, self.spa.apparent_sun_longitude( Theta, dPsi, dTau), 6) def test_mean_sidereal_time(self): assert_almost_equal(v0, self.spa.mean_sidereal_time(JD, JC), 3) def test_apparent_sidereal_time(self): assert_almost_equal(v, self.spa.apparent_sidereal_time( v0, dPsi, epsilon), 5) def test_geocentric_sun_right_ascension(self): assert_almost_equal(alpha, self.spa.geocentric_sun_right_ascension( lamd, epsilon, beta), 6) def test_geocentric_sun_declination(self): assert_almost_equal(delta, self.spa.geocentric_sun_declination( lamd, epsilon, beta), 6) def test_local_hour_angle(self): assert_almost_equal(H, self.spa.local_hour_angle(v, lon, alpha), 4) def test_equatorial_horizontal_parallax(self): assert_almost_equal(xi, self.spa.equatorial_horizontal_parallax(R), 6) def test_parallax_sun_right_ascension(self): u = self.spa.uterm(lat) x = self.spa.xterm(u, lat, elev) y = self.spa.yterm(u, lat, elev) assert_almost_equal(dAlpha, self.spa.parallax_sun_right_ascension( x, xi, H, delta), 4) def test_topocentric_sun_right_ascension(self): assert_almost_equal(alpha_prime, self.spa.topocentric_sun_right_ascension( alpha, dAlpha), 5) def test_topocentric_sun_declination(self): u = self.spa.uterm(lat) x = self.spa.xterm(u, lat, elev) y = self.spa.yterm(u, lat, elev) assert_almost_equal(delta_prime, self.spa.topocentric_sun_declination( delta, x, y, xi, dAlpha,H), 5) def test_topocentric_local_hour_angle(self): assert_almost_equal(H_prime, self.spa.topocentric_local_hour_angle( H, dAlpha), 5) def test_topocentric_elevation_angle_without_atmosphere(self): assert_almost_equal( e0, self.spa.topocentric_elevation_angle_without_atmosphere( lat, delta_prime, H_prime), 6) def test_atmospheric_refraction_correction(self): assert_almost_equal(de, self.spa.atmospheric_refraction_correction( pressure, temp, e0, atmos_refract), 6) def test_topocentric_elevation_angle(self): assert_almost_equal(e, self.spa.topocentric_elevation_angle(e0, de), 6) def test_topocentric_zenith_angle(self): assert_almost_equal(theta, self.spa.topocentric_zenith_angle(e), 5) def test_topocentric_astronomers_azimuth(self): assert_almost_equal(Gamma, self.spa.topocentric_astronomers_azimuth( H_prime, delta_prime, lat), 5) def test_topocentric_azimuth_angle(self): assert_almost_equal(Phi, self.spa.topocentric_azimuth_angle(Gamma), 5) def test_solar_position(self): assert_almost_equal(np.array([theta, theta0, e, e0, Phi]), self.spa.solar_position(unixtimes, lat, lon, elev, pressure, temp, delta_t, atmos_refract)[:-1], 5) assert_almost_equal(np.array([v, alpha, delta]), self.spa.solar_position(unixtimes, lat, lon, elev, pressure, temp, delta_t, atmos_refract, sst=True)[:3], 5) def test_equation_of_time(self): eot = 14.64 M = self.spa.sun_mean_longitude(JME) assert_almost_equal(eot, self.spa.equation_of_time( M, alpha, dPsi, epsilon), 2) def test_transit_sunrise_sunset(self): # tests at greenwich times = pd.DatetimeIndex([dt.datetime(1996, 7, 5, 0), dt.datetime(2004, 12, 4, 0)] ).tz_localize('UTC').view(np.int64)*1.0/10**9 sunrise = pd.DatetimeIndex([dt.datetime(1996, 7, 5, 7, 8, 15), dt.datetime(2004, 12, 4, 4, 38, 57)] ).tz_localize('UTC').view(np.int64)*1.0/10**9 sunset = pd.DatetimeIndex([dt.datetime(1996, 7, 5, 17, 1, 4), dt.datetime(2004, 12, 4, 19, 2, 2)] ).tz_localize('UTC').view(np.int64)*1.0/10**9 times = np.array(times) sunrise = np.array(sunrise) sunset = np.array(sunset) result = [self.spa.transit_sunrise_sunset(t, -35.0, 0.0, 64.0) for t in times] for i in range(2): assert_almost_equal(sunrise[i]/1e3, result[i][1]/1e3, 3) assert_almost_equal(sunset[i]/1e3, result[i][2]/1e3, 3) times = pd.DatetimeIndex([dt.datetime(1994, 1, 2),] ).tz_localize('UTC').view(np.int64)*1.0/10**9 sunset = pd.DatetimeIndex([dt.datetime(1994, 1, 2, 16, 59, 55),] ).tz_localize('UTC').view(np.int64)*1.0/10**9 sunrise = pd.DatetimeIndex([dt.datetime(1994, 1, 2, 7, 8, 12),] ).tz_localize('UTC').view(np.int64)*1.0/10**9 times = np.array(times) sunrise = np.array(sunrise) sunset = np.array(sunset) result = [self.spa.transit_sunrise_sunset(t, 35.0, 0.0, 64.0) for t in times] for i in range(1): assert_almost_equal(sunrise[i]/1e3, result[i][1]/1e3, 3) assert_almost_equal(sunset[i]/1e3, result[i][2]/1e3, 3) # tests from USNO # Golden times = pd.DatetimeIndex([dt.datetime(2015, 1, 2), dt.datetime(2015, 4, 2), dt.datetime(2015, 8, 2), dt.datetime(2015, 12, 2),], ).tz_localize('UTC').view(np.int64)*1.0/10**9 sunrise = pd.DatetimeIndex([dt.datetime(2015, 1, 2, 7, 19), dt.datetime(2015, 4, 2, 5, 43), dt.datetime(2015, 8, 2, 5, 1), dt.datetime(2015, 12, 2, 7, 1),], ).tz_localize('MST').view(np.int64)*1.0/10**9 sunset = pd.DatetimeIndex([dt.datetime(2015, 1, 2, 16, 49), dt.datetime(2015, 4, 2, 18, 24), dt.datetime(2015, 8, 2, 19, 10), dt.datetime(2015, 12, 2, 16, 38),], ).tz_localize('MST').view(np.int64)*1.0/10**9 times = np.array(times) sunrise = np.array(sunrise) sunset = np.array(sunset) result = [self.spa.transit_sunrise_sunset(t, 39.0, -105.0, 64.0) for t in times] for i in range(4): assert_almost_equal(sunrise[i]/1e3, result[i][1]/1e3, 1) assert_almost_equal(sunset[i]/1e3, result[i][2]/1e3, 1) # Beijing times = pd.DatetimeIndex([dt.datetime(2015, 1, 2), dt.datetime(2015, 4, 2), dt.datetime(2015, 8, 2), dt.datetime(2015, 12, 2),], ).tz_localize('UTC').view(np.int64)*1.0/10**9 sunrise = pd.DatetimeIndex([dt.datetime(2015, 1, 2, 7, 36), dt.datetime(2015, 4, 2, 5, 58), dt.datetime(2015, 8, 2, 5, 13), dt.datetime(2015, 12, 2, 7, 17),], ).tz_localize('Asia/Shanghai' ).view(np.int64)*1.0/10**9 sunset = pd.DatetimeIndex([dt.datetime(2015, 1, 2, 17, 0), dt.datetime(2015, 4, 2, 18, 39), dt.datetime(2015, 8, 2, 19, 28), dt.datetime(2015, 12, 2, 16, 50),], ).tz_localize('Asia/Shanghai' ).view(np.int64)*1.0/10**9 times = np.array(times) sunrise = np.array(sunrise) sunset = np.array(sunset) result = [self.spa.transit_sunrise_sunset(t, 39.917, 116.383, 64.0) for t in times] for i in range(4): assert_almost_equal(sunrise[i]/1e3, result[i][1]/1e3, 1) assert_almost_equal(sunset[i]/1e3, result[i][2]/1e3, 1) def test_earthsun_distance(self): times = (pd.date_range('2003-10-17 12:30:30', periods=1, freq='D') .tz_localize('MST')) unixtimes = times.tz_convert('UTC').view(np.int64)*1.0/10**9 unixtimes = float(np.array(unixtimes)[0]) result = self.spa.earthsun_distance(unixtimes, 64.0) assert_almost_equal(R, result, 6) def test_calculate_deltat(self): result_mix_year = [self.spa.calculate_deltat(t, month) for t in mix_year_array] assert_almost_equal(mix_year_actual, result_mix_year) result_mix_month = self.spa.calculate_deltat(year, mix_month_array) assert_almost_equal(mix_month_actual, result_mix_month) result_array = [self.spa.calculate_deltat(t, m) for t, m in zip(year_array, month_array)] assert_almost_equal(dt_actual_array, result_array, 3) result_scalar = self.spa.calculate_deltat(year,month) assert_almost_equal(dt_actual, result_scalar) class NumpySpaTest(unittest.TestCase, SpaBase): """Import spa without compiling to numba then run tests""" @classmethod def setUpClass(self): from fluids.optional import spa spa = reload(spa) self.spa = spa @classmethod def tearDownClass(self): pass def test_julian_day(self): assert_almost_equal(JD, self.spa.julian_day(unixtimes), 6) @pytest.mark.skipif(numba_version_int < 17, reason='Numba not installed or version not >= 0.17.0') class NumbaSpaTest(unittest.TestCase, SpaBase): """Import spa, compiling to numba, and run tests""" @classmethod def setUpClass(self): if numba_version_int >= 17: from fluids.optional import spa spa = reload(spa) self.spa = spa @classmethod def tearDownClass(self): pass def test_julian_day(self): assert_almost_equal(JD, self.spa.julian_day(unixtimes), 6) def test_solar_position_singlethreaded(self): assert_almost_equal( np.array([theta, theta0, e, e0, Phi]), self.spa.solar_position( unixtimes, lat, lon, elev, pressure, temp, delta_t, atmos_refract)[:-1], 5) assert_almost_equal( np.array([v, alpha, delta]), self.spa.solar_position( unixtimes, lat, lon, elev, pressure, temp, delta_t, atmos_refract, sst=True)[:3], 5) try: import astropy except: astropy = None @pytest.mark.skipif(astropy is None, reason='Astropy is not installed') def test_deltat_astropy(): # Can't do a full range of tests because astropy doesn't have # answers before 1960, after 1999 in this version from astropy.time import Time from datetime import datetime def delta_t_astropy(dt): t = Time(dt, scale='utc') return -(dt - t.tt.value).total_seconds() # years = range(1, 3000, 100) + [3000] years = range(1960, 1999, 1) months = range(1, 13) for year in years: for month in months: delta_t_pvlib = spa.calculate_deltat(year, month) dt = datetime(year, month, 1) delta_t_external = delta_t_astropy(dt) assert_allclose(delta_t_pvlib, delta_t_external, atol=.5, rtol=.01) #suite = unittest.TestSuite() #suite.addTest(NumpySpaTest("testItIsHot")) #runner = unittest.TextTestRunner() #runner.run(suite) # #NumpySpaTest.test_calculate_deltat() if __name__ == '__main__': unittest.main() fluids-1.0.22/tests/particle_size_distribution/0000755000175000017500000000000014302004506021200 5ustar nileshnileshfluids-1.0.22/tests/particle_size_distribution/unsoda_distributions_20140206.csv0000644000175000017500000064071214302004506027160 0ustar nileshnileshcode particle_size particle_fraction 1010 2.0000000000000000e+00 2.9999999999999999e-02 1010 5.0000000000000000e+01 1.7000000000000001e-01 1010 1.0600000000000000e+02 2.7900000000000003e-01 1010 2.5000000000000000e+02 7.3499999999999999e-01 1010 5.0000000000000000e+02 9.2100000000000004e-01 1010 1.0000000000000000e+03 9.9399999999999999e-01 1010 2.0000000000000000e+03 1.0020000000000000e+00 1011 2.0000000000000000e+00 2.9999999999999999e-02 1011 5.0000000000000000e+01 1.7499999999999999e-01 1011 1.0600000000000000e+02 2.9499999999999998e-01 1011 2.5000000000000000e+02 7.5700000000000001e-01 1011 5.0000000000000000e+02 9.2700000000000005e-01 1011 1.0000000000000000e+03 9.9500000000000000e-01 1011 2.0000000000000000e+03 1.0040000000000000e+00 1012 2.0000000000000000e+00 2.5000000000000001e-02 1012 5.0000000000000000e+01 1.7499999999999999e-01 1012 1.0600000000000000e+02 2.8499999999999998e-01 1012 2.5000000000000000e+02 7.3399999999999999e-01 1012 5.0000000000000000e+02 9.0500000000000003e-01 1012 1.0000000000000000e+03 9.8599999999999999e-01 1012 2.0000000000000000e+03 1.0020000000000000e+00 1013 2.0000000000000000e+00 2.0000000000000000e-02 1013 5.0000000000000000e+01 1.4999999999999999e-01 1013 1.0600000000000000e+02 2.8599999999999998e-01 1013 2.5000000000000000e+02 7.5800000000000001e-01 1013 5.0000000000000000e+02 9.2000000000000004e-01 1013 1.0000000000000000e+03 9.9099999999999999e-01 1013 2.0000000000000000e+03 1.0020000000000000e+00 1014 2.0000000000000000e+00 2.0000000000000000e-02 1014 5.0000000000000000e+01 1.3000000000000000e-01 1014 1.0600000000000000e+02 2.5600000000000001e-01 1014 2.5000000000000000e+02 7.4299999999999999e-01 1014 5.0000000000000000e+02 9.1600000000000004e-01 1014 1.0000000000000000e+03 9.8499999999999999e-01 1014 2.0000000000000000e+03 9.9700000000000000e-01 1015 2.0000000000000000e+00 5.9999999999999998e-02 1015 5.0000000000000000e+01 1.7999999999999999e-01 1015 1.0600000000000000e+02 3.0700000000000000e-01 1015 2.5000000000000000e+02 7.5000000000000000e-01 1015 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7.0000000000000000e+02 8.4199999999999997e-01 4940 1.4000000000000000e+03 1.0009999999999999e+00 4941 2.5000000000000000e+02 3.4799999999999998e-01 4941 5.0000000000000000e+02 5.9099999999999997e-01 4941 7.0000000000000000e+02 8.3799999999999997e-01 4941 1.4000000000000000e+03 1.0009999999999999e+00 4950 2.0000000000000000e+01 1.0000000000000001e-01 4950 1.5000000000000000e+02 5.0000000000000000e-01 4950 3.0000000000000000e+02 5.9999999999999998e-01 4950 2.0000000000000000e+03 1.0000000000000000e+00 4960 fluids-1.0.22/tests/test_mixing.py0000644000175000017500000000442314302004506016453 0ustar nileshnilesh# -*- coding: utf-8 -*- '''Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2016, 2017 Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.''' from __future__ import division from fluids.mixing import * from fluids.numerics import assert_close, assert_close1d import pytest def test_mixing(): t1 = agitator_time_homogeneous(D=36*.0254, N=56/60., P=957., T=1.83, H=1.83, mu=0.018, rho=1020.0, homogeneity=.995) t2 = agitator_time_homogeneous(D=1, N=125/60., P=298., T=3, H=2.5, mu=.5, rho=980, homogeneity=.95) t3 = agitator_time_homogeneous(N=125/60., P=298., T=3, H=2.5, mu=.5, rho=980, homogeneity=.95) assert_close1d([t1, t2, t3], [15.143198226374668, 67.7575069865228, 51.70865552491966]) Kp = Kp_helical_ribbon_Rieger(D=1.9, h=1.9, nb=2, pitch=1.9, width=.19, T=2.0) assert_close(Kp, 357.39749163259256) t = time_helical_ribbon_Grenville(357.4, 4/60.) assert_close(t, 650.980654028894) CoV = size_tee(Q1=11.7, Q2=2.74, D=0.762, D2=None, n=1, pipe_diameters=5.0) assert_close(CoV, 0.2940930233038544) CoV = COV_motionless_mixer(Ki=.33, Q1=11.7, Q2=2.74, pipe_diameters=4.74/.762) assert_close(CoV, 0.0020900028665727685) K = K_motionless_mixer(K=150.0, L=.762*5, D=.762, fd=.01) assert_close(K, 7.5) fluids-1.0.22/tests/__init__.py0000644000175000017500000000225114302004506015655 0ustar nileshnilesh# -*- coding: utf-8 -*- '''Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2016, Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.''' fluids-1.0.22/tests/test_packed_bed.py0000644000175000017500000001204414302004506017217 0ustar nileshnilesh# -*- coding: utf-8 -*- '''Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2016, 2017 Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.''' from __future__ import division from fluids.packed_bed import * from fluids.numerics import assert_close, assert_close1d import pytest def test_packed_bed(): dP = Ergun(dp=8E-4, voidage=0.4, vs=1E-3, rho=1E3, mu=1E-3) assert_close(dP, 1338.8671874999995) dP = Kuo_Nydegger(dp=8E-1, voidage=0.4, vs=1E-3, rho=1E3, mu=1E-3) assert_close(dP, 0.025651460973648624) dP = Jones_Krier(dp=8E-4, voidage=0.4, vs=1E-3, rho=1E3, mu=1E-3) assert_close(dP, 1362.2719449873746) dP = Carman(dp=8E-4, voidage=0.4, vs=1E-3, rho=1E3, mu=1E-3) assert_close(dP, 1614.721678121775) dP = Hicks(dp=0.01, voidage=0.4, vs=1E-3, rho=1E3, mu=1E-3) assert_close(dP, 3.631703956680737) dP = Brauer(dp=8E-4, voidage=0.4, vs=1E-3, rho=1E3, mu=1E-3) assert_close(dP, 1441.5479196020563) dP = KTA(dp=8E-4, voidage=0.4, vs=1E-3, rho=1E3, mu=1E-3) assert_close(dP, 1440.409277034248) dP = Erdim_Akgiray_Demir(dp=8E-4, voidage=0.4, vs=1E-3, rho=1E3, mu=1E-3) assert_close(dP, 1438.2826958844414) dP = Tallmadge(dp=8E-4, voidage=0.4, vs=1E-3, rho=1E3, mu=1E-3) assert_close(dP, 1365.2739144209424) dP = Fahien_Schriver(dp=8E-4, voidage=0.4, vs=1E-3, rho=1E3, mu=1E-3) assert_close(dP, 1470.6175541844711) dP = Idelchik(dp=8E-4, voidage=0.4, vs=1E-3, rho=1E3, mu=1E-3) assert_close(dP, 1571.909125999067) dP1 = Harrison_Brunner_Hecker(dp=8E-4, voidage=0.4, vs=1E-3, rho=1E3, mu=1E-3) dP2 = Harrison_Brunner_Hecker(dp=8E-4, voidage=0.4, vs=1E-3, rho=1E3, mu=1E-3, Dt=1E-2) assert_close1d([dP1, dP2], [1104.6473821473724, 1255.1625662548427]) dP1 = Montillet_Akkari_Comiti(dp=0.0008, voidage=0.4, L=0.5, vs=0.00132629120, rho=1000., mu=1.00E-003) dP2 = Montillet_Akkari_Comiti(dp=0.08, voidage=0.4, L=0.5, vs=0.05, rho=1000., mu=1.00E-003) dP3 = Montillet_Akkari_Comiti(dp=0.08, voidage=0.3, L=0.5, vs=0.05, rho=1000., mu=1.00E-003, Dt=1.0) assert_close1d([dP1, dP2, dP3], [1148.1905244077548, 212.67409611116554, 540.501305905986]) dP1 = dP_packed_bed(dp=8E-4, voidage=0.4, vs=1E-3, rho=1E3, mu=1E-3) dP2 = dP_packed_bed(dp=8E-4, voidage=0.4, vs=1E-3, rho=1E3, mu=1E-3, Dt=0.01) dP3 = dP_packed_bed(dp=8E-4, voidage=0.4, vs=1E-3, rho=1E3, mu=1E-3, Dt=0.01, Method='Ergun') dP4 = dP_packed_bed(dp=8E-4, voidage=0.4, sphericity=0.6, vs=1E-3, rho=1E3, mu=1E-3, Dt=0.01, Method='Ergun') dP5 = dP_packed_bed(8E-4, 0.4, 1E-3, 1E3, 1E-3) assert_close1d([dP1, dP2, dP3, dP4, dP5], [1438.2826958844414, 1255.1625662548427, 1338.8671874999995, 3696.2890624999986, 1438.2826958844414]) # REMOVE ONCE DEPRECATED methods_dP_val = ['Harrison, Brunner & Hecker', 'Carman', 'Guo, Sun, Zhang, Ding & Liu', 'Hicks', 'Montillet, Akkari & Comiti', 'Idelchik', 'Erdim, Akgiray & Demir', 'KTA', 'Kuo & Nydegger', 'Ergun', 'Brauer', 'Fahien & Schriver', 'Jones & Krier', 'Tallmadge'] methods_dP_val.sort() for m in methods_dP_val: dP_packed_bed(dp=8E-4, voidage=0.4, vs=1E-3, rho=1E3, mu=1E-3, Dt=0.01, Method=m) all_methods = dP_packed_bed_methods(dp=8E-4, voidage=0.4, vs=1E-3, rho=1E3, mu=1E-3, L=1, Dt=1e-2) assert 'Erdim, Akgiray & Demir' == dP_packed_bed_methods(dp=8E-4, voidage=0.4, vs=1E-3, rho=1E3, mu=1E-3, L=1.0)[0] assert 'Harrison, Brunner & Hecker' == all_methods[0] all_methods.sort() assert all_methods == methods_dP_val with pytest.raises(Exception): dP_packed_bed(8E-4, 0.4, 1E-3, 1E3, 1E-3, Method='Fail') v = voidage_Benyahia_Oneil(1E-3, 1E-2, .8) assert_close(v, 0.41395363849210065) v = voidage_Benyahia_Oneil_spherical(.001, .05) assert_close(v, 0.3906653157443224) v = voidage_Benyahia_Oneil_cylindrical(.01, .1, .6) assert_close(v, 0.38812523109607894) def test_Guo_Sun(): dP = Guo_Sun(dp=14.2E-3, voidage=0.492, vs=0.6, rho=1E3, mu=1E-3, Dt=40.9E-3) assert_close(dP, 42019.529911473706) # Confirmed to be 42 kPa from a graph they providedfluids-1.0.22/tests/test_drag.py0000644000175000017500000001776414302004506016111 0ustar nileshnilesh# -*- coding: utf-8 -*- '''Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2016, 2017 Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.''' from fluids.drag import drag_sphere, drag_sphere_methods, v_terminal, integrate_drag_sphere, time_v_terminal_Stokes, drag_sphere_correlations from fluids.drag import * from fluids.numerics import assert_close1d, assert_close import pytest close = assert_close1d def test_drag(): Cd = Stokes(0.1) assert_close(Cd, 240.0) # All examples from [1]_, in a table of calculated values, matches. Cds = [Barati(200.), Barati(0.002)] close(Cds, [0.7682237950389874, 12008.864343802072]) # All examples from [1]_, in a table of calculated values, matches. Cds = [Barati_high(i) for i in [200, 0.002, 1E6]] Cd_values = [0.7730544082789523, 12034.714777630921, 0.21254574397767056] close(Cds, Cd_values) Cds = [Rouse(i) for i in [200, 0.002]] Cd_values = [0.6721320343559642, 12067.422039324994] close(Cds, Cd_values) Cds = [Engelund_Hansen(i) for i in [200, 0.002]] Cd_values = [1.62, 12001.5] close(Cds, Cd_values) Cds = [Clift_Gauvin(i) for i in [200, 0.002]] Cd_values = [0.7905400398000133, 12027.153270425813] close(Cds, Cd_values) Cds = [Morsi_Alexander(i) for i in [0.002, 0.5, 5., 50., 500., 25E2, 7.5E3, 1E5]] Cd_values = [12000.0, 49.511199999999995, 6.899784, 1.500032, 0.549948, 0.408848, 0.4048818666666667, 0.50301667] close(Cds, Cd_values) Cds = [Graf(i) for i in [200, 0.002]] Cd_values = [0.8520984424785725, 12007.237509093471] close(Cds, Cd_values) Cds = [Flemmer_Banks(i) for i in [200, 0.002]] Cd_values = [0.7849169609270039, 12194.582998088363] close(Cds, Cd_values) Cds = [Khan_Richardson(i) for i in [200, 0.002]] Cd_values = [0.7747572379211097, 12335.279663284822] close(Cds, Cd_values) Cds = [Swamee_Ojha(i) for i in [200, 0.002]] Cd_values = [0.8490012397545713, 12006.510258198376] close(Cds, Cd_values) Cds = [Yen(i) for i in [200, 0.002]] Cd_values = [0.7822647002187014, 12080.906446259793] close(Cds, Cd_values) Cds = [Haider_Levenspiel(i) for i in [200, 0.002]] Cd_values = [0.7959551680251666, 12039.14121183969] close(Cds, Cd_values) Cds = [Cheng(i) for i in [200, 0.002]] Cd_values = [0.7939143028294227, 12002.787740305668] close(Cds, Cd_values) Cds = [Terfous(i) for i in [200]] Cd_values = [0.7814651149769638] close(Cds, Cd_values) Cds = [Mikhailov_Freire(i) for i in [200, 0.002]] Cd_values = [0.7514111388018659, 12132.189886046555] close(Cds, Cd_values) Cds = [Clift(i) for i in [0.002, 0.5, 50., 500., 2500., 40000, 75000., 340000, 5E5]] Cd_values = [12000.1875, 51.538273834491875, 1.5742657203722197, 0.5549240285782678, 0.40817983162668914, 0.4639066546786017, 0.49399935325210037, 0.4631617396760497, 0.5928043008238435] close(Cds, Cd_values) Cds = [Ceylan(i) for i in [200]] Cd_values = [0.7816735980280175] close(Cds, Cd_values) Cds = [Almedeij(i) for i in [200, 0.002]] Cd_values = [0.7114768646813396, 12000.000000391443] close(Cds, Cd_values) Cds = [Morrison(i) for i in [200, 0.002]] Cd_values = [0.767731559965325, 12000.134917101897] close(Cds, Cd_values) Cd = Song_Xu(1.72525554724508000000) assert_close(Cd, 17.1249219416881000000) Cd = Song_Xu(1.24798925062065, sphericity=0.64, S=0.55325984525397) assert_close(Cd, 36.00464629658840) for k in drag_sphere_correlations.keys(): drag_sphere(1e6, Method=k) def test_drag_sphere(): Cd = drag_sphere(200) assert_close(Cd, 0.7682237950389874) Cd = drag_sphere(1E6) assert_close(Cd, 0.21254574397767056) Cd = drag_sphere(1E6, Method='Barati_high') assert_close(Cd, 0.21254574397767056) Cd = drag_sphere(0.001) assert_close(Cd, 24000.0) Cd = drag_sphere(0.05) assert_close(Cd, 481.23769162684573) with pytest.raises(Exception): drag_sphere(200, Method='BADMETHOD') with pytest.raises(Exception): drag_sphere(1E7) methods = drag_sphere_methods(3E5, True) method_known = ['Barati_high', 'Ceylan', 'Morrison', 'Clift', 'Almedeij'] assert sorted(method_known) == sorted(methods) assert 20 == len(drag_sphere_methods(200)) assert 21 == len(drag_sphere_methods(200000, check_ranges=False)) assert 5 == len(drag_sphere_methods(200000, check_ranges=True)) def test_v_terminal(): v_t = v_terminal(D=70E-6, rhop=2600., rho=1000., mu=1E-3) assert_close(v_t, 0.00414249724453) v_t = v_terminal(D=70E-9, rhop=2600., rho=1000., mu=1E-3) assert_close(v_t, 4.271340888888889e-09) # [2] has a good example v_t = v_terminal(D=70E-6, rhop=2.6E3, rho=1000., mu=1E-3) assert_close(v_t, 0.004142497244531304) # vs 0.00406 by [2], with the Oseen correlation not implemented here # It also has another example v_t = v_terminal(D=50E-6, rhop=2.8E3, rho=1000., mu=1E-3) assert_close(v_t, 0.0024195143465496655) # vs 0.002453 in [2] # Laminar example v_t = v_terminal(D=70E-6, rhop=2600., rho=1000., mu=1E-1) assert_close(v_t, 4.271340888888888e-05) v_t = v_terminal(D=70E-6, rhop=2600., rho=1000., mu=1E-3, Method='Rouse') assert_close(v_t, 0.003991779430745852) @pytest.mark.scipy def test_integrate_drag_sphere(): ans = integrate_drag_sphere(D=0.001, rhop=2200., rho=1.2, mu=1.78E-5, t=0.5, V=30.0, distance=True) assert_close1d(ans, (9.686465044063436, 7.829454643649386)) ans = integrate_drag_sphere(D=0.001, rhop=2200., rho=1.2, mu=1.78E-5, t=0.5, V=30.0) assert_close(ans, 9.686465044063436) # Check no error when V is zero ans = integrate_drag_sphere(D=0.001, rhop=1.20001, rho=1.2, mu=1.78E-5, t=0.5, V=0.0) assert_close(ans, 3.0607521920092645e-07) # Stokes law regime integration ans = integrate_drag_sphere(D=0.001, rhop=2200., rho=1.2, mu=1.78E-5, t=0.1, V=0, distance=True, Method='Stokes') assert_close1d(ans, [0.9730274844308592, 0.04876946395795378]) ans = integrate_drag_sphere(D=0.001, rhop=2200., rho=1.2, mu=1.78E-5, t=0.1, V=10, distance=True, Method='Stokes') assert_close1d(ans, [10.828446488771524, 1.041522867361668]) ans = integrate_drag_sphere(D=0.001, rhop=2200., rho=1.2, mu=1.78E-5, t=0.1, V=-10, distance=True, Method='Stokes') assert_close1d(ans, [-8.882391519909806, -0.9439839394457605]) # Stokes law regime - test case where particle is ensured to be laminar before and after the simulation for m in (None, 'Stokes'): ans = integrate_drag_sphere(D=0.000001, rhop=2200., rho=1.2, mu=1.78E-5, t=0.1, V=0, distance=True, Method=m) assert_close1d(ans, [6.729981897140177e-05, 6.729519788530099e-06], rtol=1e-11) def test_time_v_terminal_Stokes(): t = time_v_terminal_Stokes(D=1e-7, rhop=2200., rho=1.2, mu=1.78E-5, V0=1.0) assert_close(t, 3.188003113787154e-06) # Very slow - many iterations t = time_v_terminal_Stokes(D=1e-2, rhop=2200., rho=1.2, mu=1.78E-5, V0=1.0, tol=1e-30) assert_close(t, 24800.636391802)fluids-1.0.22/tests/test_piping.py0000644000175000017500000001653214302004506016452 0ustar nileshnilesh# -*- coding: utf-8 -*- '''Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2016, 2017 Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.''' from __future__ import division from fluids.piping import nearest_pipe, gauge_from_t, t_from_gauge, erosional_velocity from fluids.numerics import assert_close, assert_close1d import pytest def test_piping(): P1 = nearest_pipe(Di=0.021) assert_close1d(P1, (1, 0.02664, 0.0334, 0.0033799999999999998)) P2 = nearest_pipe(Do=.273, schedule='5S') assert_close1d(P2, (10, 0.26630000000000004, 0.2731, 0.0034)) ans_str = nearest_pipe(Do=0.5, schedule='80') ans_int = nearest_pipe(Do=0.5, schedule=80) ans_float = nearest_pipe(Do=0.5, schedule=80.0) ans_expect = (20, 0.45562, 0.508, 0.02619) assert_close1d(ans_str, ans_expect) assert_close1d(ans_str, ans_int) assert_close1d(ans_str, ans_float) def test_gauge(): g1s = gauge_from_t(.5, False, 'BWG'), gauge_from_t(0.005588, True) assert_close1d(g1s, (0.2, 5)) g2s = gauge_from_t(0.5165, False, 'AWG'), gauge_from_t(0.00462026, True, 'AWG') assert_close1d(g2s, (0.2, 5)) g3s = gauge_from_t(.4305, False, 'SWG'), gauge_from_t(0.0052578, True, 'SWG') assert_close1d(g3s, (0.2, 5)) g4s = gauge_from_t(.005, False, 'MWG'), gauge_from_t(0.0003556, True, 'MWG') assert_close1d(g4s, (0.2, 5)) g5s = gauge_from_t(.432, False, 'BSWG'), gauge_from_t(0.0053848, True, 'BSWG') assert_close1d(g5s, (0.2, 5)) g6s = gauge_from_t(0.227, False, 'SSWG'), gauge_from_t(0.0051816, True, 'SSWG') assert_close1d(g6s, (1, 5)) with pytest.raises(Exception): gauge_from_t(.5, False, 'FAIL') # Not in schedule with pytest.raises(Exception): gauge_from_t(0.02) # Too large g1 = gauge_from_t(0.002) # not in index; gauge 14, 2 mm g2 = gauge_from_t(0.00185) # not in index, gauge 15, within tol (10% default) # Limits between them are 0.0018288 and 0.0021082 m. g3 = gauge_from_t(0.00002) assert_close1d([g1, g2, g3], [14, 15, 0.004]) t1s = t_from_gauge(.2, False, 'BWG'), t_from_gauge(5, True) assert_close1d(t1s, (0.5, 0.005588)) t2s = t_from_gauge(.2, False, 'AWG'), t_from_gauge(5, True, 'AWG') assert_close1d(t2s, (0.5165, 0.00462026)) t3s = t_from_gauge(.2, False, 'SWG'), t_from_gauge(5, True, 'SWG') assert_close1d(t3s, (0.4305, 0.0052578)) t4s = t_from_gauge(.2, False, 'MWG'), t_from_gauge(5, True, 'MWG') assert_close1d(t4s, (0.005, 0.0003556)) t5s = t_from_gauge(.2, False, 'BSWG'), t_from_gauge(5, True, 'BSWG') assert_close1d(t5s, (0.432, 0.0053848)) t6s = t_from_gauge(1, False, 'SSWG'), t_from_gauge(5, True, 'SSWG') assert_close1d(t6s, (0.227, 0.0051816)) with pytest.raises(Exception): t_from_gauge(17.5, schedule='FAIL') with pytest.raises(Exception): t_from_gauge(17.5, schedule='MWG') # Test schedule is implemented NPS, Di, Do, t = nearest_pipe(Do=.273, schedule='80D1527') assert NPS == 10 assert_close1d((Di, Do, t), (0.2429256, 0.27305, 0.015062200000000001)) # initially accidentally implemented this using the mm's given in the standard # however the IPS ones are authoritative. NPS, Di, Do, t = nearest_pipe(NPS=8, schedule='ABSD2680') assert NPS == 8 assert_close1d((0.19685, 0.239014, 0.021082), (Di, Do, t), rtol=1e-12) # initially accidentally implemented this using the mm's given in the standard # however the IPS ones are authoritative. NPS, Di, Do, t = nearest_pipe(NPS=27, schedule='PS115F679') assert NPS == 27 assert_close1d((0.6591046, 0.7100062, 0.025450800000000003), (Di, Do, t), rtol=1e-12) NPS, Di, Do, t = nearest_pipe(NPS=27, schedule='PS75F679') assert NPS == 27 assert_close1d((0.665607, 0.7100062, 0.0221996), (Di, Do, t), rtol=1e-12) NPS, Di, Do, t = nearest_pipe(NPS=27, schedule='PS46F679') assert NPS == 27 assert_close1d((0.6721602, 0.7100062, 0.018923), (Di, Do, t), rtol=1e-12) from fluids.piping import NPS120_D1785 assert_close(NPS120_D1785[0], 0.5) assert_close(NPS120_D1785[-1], 12) # initially accidentally implemented this using the mm's given in the standard # however the IPS ones are authoritative. NPS, Di, Do, t = nearest_pipe(NPS=6, schedule='PVCD2665') assert_close1d((0.154051, 0.168275, 0.007112), (Di, Do, t), rtol=1e-12) # initially accidentally implemented this using the mm's given in the standard # however the IPS ones are authoritative. NPS, Di, Do, t = nearest_pipe(NPS=6, schedule='80D1785') assert_close1d((0.1463294, 0.168275, 0.0109728), (Di, Do, t), rtol=1e-12) # initially accidentally implemented this using the mm's given in the standard # however the IPS ones are authoritative. NPS, Di, Do, t = nearest_pipe(NPS=6, schedule='DR21D2241') assert_close1d((0.15222219999999997, 0.168275, 0.008026400000000001), (Di, Do, t), rtol=1e-12) # initially accidentally implemented this using the mm's given in the standard # however the IPS ones are authoritative. NPS, Di, Do, t = nearest_pipe(NPS=1, schedule='DR21D2241CTS') assert_close1d((0.025527, 0.028575, 0.001524), (Di, Do, t), rtol=1e-12) # initially accidentally implemented this using the mm's given in the standard # however the IPS ones are authoritative. NPS, Di, Do, t = nearest_pipe(NPS=10, schedule='DR325D2241PIP') assert_close1d((0.2431288, 0.25908, 0.0079756), (Di, Do, t), rtol=1e-12) # Test schedule with DN NPS, Di, Do, t = nearest_pipe(NPS=100, schedule='S40F441SI') assert_close1d((0.10226, 0.1143, 0.006019999999999999), (Di, Do, t), rtol=1e-12) def test_piping_schedule_basics(): from fluids.piping import schedule_lookup for k, (NPSs, Dis, Dos, ts) in schedule_lookup.items(): assert len(NPSs) == len(Dis) assert len(Dis) == len(Dos) assert len(Dos) == len(ts) for i in range(len(NPSs)-1): assert NPSs[i+1] >= NPSs[i] for i in range(len(Dis)-1): assert Dis[i+1] >= Dis[i] for i in range(len(Dos)-1): assert Dos[i+1] >= Dos[i] for i in range(len(ts)-1): assert ts[i+1] >= ts[i] for i in range(len(NPSs)): err = abs((Dis[i] + ts[i]*2)/Dos[i] -1) assert err < 1e-14 def test_erosional_velocity(): v = erosional_velocity(1000, 100) assert_close(v, 3.857672800497152)fluids-1.0.22/tests/test_core.py0000644000175000017500000002233714302004506016114 0ustar nileshnilesh# -*- coding: utf-8 -*- '''Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2016, 2017, 2018 Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.''' from __future__ import division from fluids.core import C2K, K2C, F2C, C2F, F2K, K2F, C2R, K2R, F2R, R2C, R2K, R2F from fluids.core import * from fluids.numerics import assert_close, assert_close1d import pytest def test_core_misc(): alpha = thermal_diffusivity(0.02, 1., 1000.) assert_close(alpha, 2e-05) c = c_ideal_gas(1.4, 303., 28.96) assert_close(c, 348.9820361755092, rtol=1e-05) def test_core_dimensionless(): Re = Reynolds(2.5, 0.25, 1.1613, 1.9E-5) assert_close(Re, 38200.65789473684) Re = Reynolds(2.5, 0.25, nu=1.636e-05) assert_close(Re, 38202.93398533008) with pytest.raises(Exception): Reynolds(2.5, 0.25, 1.1613) PeH = Peclet_heat(1.5, 2, 1000., 4000., 0.6) assert_close(PeH, 20000000.0) PeH = Peclet_heat(1.5, 2., alpha=1E-7) assert_close(PeH, 30000000.0) with pytest.raises(Exception): Peclet_heat(1.5, 2, 1000., 4000.) PeM = Peclet_mass(1.5, 2., 1E-9) assert_close(PeM, 3000000000) FH1 = Fourier_heat(1.5, 2., 1000., 4000., 0.6) FH2 = Fourier_heat(1.5, 2, alpha=1E-7) assert_close1d([FH1, FH2], [5.625e-08, 3.75e-08]) with pytest.raises(Exception): Fourier_heat(1.5, 2, 1000., 4000.) FHM = Fourier_mass(1.5, 2.0, 1E-9) assert_close(FHM, 3.7500000000000005e-10) GZh1 = Graetz_heat(1.5, 0.25, 5., 800., 2200., 0.6) GZh2 = Graetz_heat(1.5, 0.25, 5, alpha=1E-7) assert_close1d([GZh1, GZh2], [55000.0, 187500.0]) with pytest.raises(Exception): Graetz_heat(1.5, 0.25, 5, 800., 2200.) Sc1 = Schmidt(D=2E-6, mu=4.61E-6, rho=800.) Sc2 = Schmidt(D=1E-9, nu=6E-7) assert_close1d([Sc1, Sc2], [0.00288125, 600.]) with pytest.raises(Exception): Schmidt(D=2E-6, mu=4.61E-6) Le1 = Lewis(D=22.6E-6, alpha=19.1E-6) Le2 = Lewis(D=22.6E-6, rho=800., k=.2, Cp=2200.) assert_close1d([Le1, Le2], [0.8451327433628318, 0.00502815768302494]) with pytest.raises(Exception): Lewis(D=22.6E-6, rho=800., k=.2) We = Weber(0.18, 0.001, 900., 0.01) assert_close(We, 2.916) Ma = Mach(33., 330.) assert_close(Ma, 0.1) Kn = Knudsen(1e-10, .001) assert_close(Kn, 1e-07) Pr1 = Prandtl(Cp=1637., k=0.010, mu=4.61E-6) Pr2 = Prandtl(Cp=1637., k=0.010, nu=6.4E-7, rho=7.1) Pr3 = Prandtl(nu=6.3E-7, alpha=9E-7) assert_close1d([Pr1, Pr2, Pr3], [0.754657, 0.7438528, 0.7]) with pytest.raises(Exception): Prandtl(Cp=1637., k=0.010) Gr1 = Grashof(L=0.9144, beta=0.000933, T1=178.2, rho=1.1613, mu=1.9E-5) Gr2 = Grashof(L=0.9144, beta=0.000933, T1=378.2, T2=200., nu=1.636e-05) assert_close1d([Gr1, Gr2], [4656936556.178915, 4657491516.530312]) with pytest.raises(Exception): Grashof(L=0.9144, beta=0.000933, T1=178.2, rho=1.1613) Bo1 = Bond(1000., 1.2, .0589, 2.) assert_close(Bo1, 665187.2339558573) Ra1 = Rayleigh(1.2, 4.6E9) assert_close(Ra1, 5520000000) Fr1 = Froude(1.83, 2., 1.63) Fr2 = Froude(1.83, L=2., squared=True) assert_close1d([Fr1, Fr2], [1.0135432593877318, 0.17074638128208924]) St = Strouhal(8., 2., 4.) assert_close(St, 4.0) Nu1 = Nusselt(1000., 1.2, 300.) Nu2 = Nusselt(10000., .01, 4000.) assert_close1d([Nu1, Nu2], [4.0, 0.025]) Sh = Sherwood(1000., 1.2, 300.) assert_close(Sh, 4.0) Bi1 = Biot(1000., 1.2, 300.) Bi2 = Biot(10000., .01, 4000.) assert_close1d([Bi1, Bi2], [4.0, 0.025]) St1 = Stanton(5000., 5., 800., 2000.) assert_close(St1, 0.000625) Eu1 = Euler(1E5, 1000., 4.) assert_close(Eu1, 6.25) Ca1 = Cavitation(2E5, 1E4, 1000., 10.) assert_close(Ca1, 3.8) Ec1 = Eckert(10., 2000., 25.) assert_close(Ec1, 0.002) Ja1 = Jakob(4000., 2E6, 10.) assert_close(Ja1, 0.02) Po1 = Power_number(P=180., L=0.01, N=2.5, rho=800.) assert_close(Po1, 144000000) Cd1 = Drag(1000., 0.0001, 5., 2000.) assert_close(Cd1, 400) Ca1 = Capillary(1.2, 0.01, .1) assert_close(Ca1, 0.12) Ar1 = Archimedes(0.002, 0.2804, 2699.37, 4E-5) Ar2 = Archimedes(0.002, 2., 3000., 1E-3) assert_close1d([Ar1, Ar2], [37109.575890227665, 470.4053872]) Oh1 = Ohnesorge(1E-4, 1000., 1E-3, 1E-1) assert_close(Oh1, 0.01) Su = Suratman(1E-4, 1000., 1E-3, 1E-1) assert_close(Su, 10000.0) BeL1 = Bejan_L(1E4, 1., 1E-3, 1E-6) assert_close(BeL1, 10000000000000) Bep1 = Bejan_p(1E4, 1., 1E-3, 1E-6) assert_close(Bep1, 10000000000000) Bo = Boiling(300., 3000., 800000.) assert_close(Bo, 1.25e-05) e_D1 = relative_roughness(0.0254) e_D2 = relative_roughness(0.5, 1E-4) assert_close1d([e_D1, e_D2], [5.9842519685039374e-05, 0.0002]) Co = Confinement(0.001, 1077, 76.5, 4.27E-3) assert_close(Co, 0.6596978265315191) De = Dean(10000., 0.1, 0.4) assert_close(De, 5000.0) Stk = Stokes_number(V=0.9, Dp=1E-5, D=1E-3, rhop=1000., mu=1E-5) assert_close(Stk, 0.5) Hg = Hagen(Re=2610., fd=1.935235) assert_close(Hg, 6591507.17175) # Where fd was obtained from: def Hagen2(rho, D, mu): return rho*D**3/mu**2 correct = Hagen2(rho=992., mu=653E-6, D=6.568E-3)*10000 guess = Hagen(Re=2610., fd=1.935235) assert_close(correct, guess) Fr = Froude_densimetric(1.83, L=2., rho2=1.2, rho1=800., g=9.81) assert_close(Fr, 0.4134543386272418) Fr = Froude_densimetric(1.83, L=2., rho2=1.2, rho1=800, g=9.81, heavy=False) assert_close(Fr, 0.016013017679205096) Mo = Morton(1077.0, 76.5, 4.27E-3, 0.023) assert_close(Mo, 2.311183104430743e-07) def test_core_misc2(): mu1 = nu_mu_converter(998., nu=1.0E-6) nu1 = nu_mu_converter(998., mu=0.000998) assert_close1d([mu1, nu1], [0.000998, 1E-6]) with pytest.raises(Exception): nu_mu_converter(990) with pytest.raises(Exception): nu_mu_converter(990, 0.000998, 1E-6) g1 = gravity(55., 1E4) assert_close(g1, 9.784151976863571) K = K_from_f(fd=0.018, L=100., D=.3) assert_close(K, 6.0) K = K_from_L_equiv(240.) assert_close(K, 3.6) L_D = L_equiv_from_K(3.6) assert_close(L_D, 240.) L = L_from_K(K=6., fd=0.018, D=.3) assert_close(L, 100) dP = dP_from_K(K=10., rho=1000., V=3.) assert_close(dP, 45000) head = head_from_K(K=10., V=1.5) assert_close(head, 1.1471807396001694) head = head_from_P(P=98066.5, rho=1000.) assert_close(head, 10.0) P = P_from_head(head=5., rho=800.) assert_close(P, 39226.6) fd = f_from_K(K=0.6, L=100., D=.3) assert_close(fd, 0.0018, rtol=1e-13) #from fluids.core import C2K, K2C, F2C, C2F, F2K, K2F, C2R, K2R, F2R, R2C, R2K, R2F # The following are tests which were deprecated from scipy # but are still desired to be here # Taken from scipy/constants/constants.py as in commit # https://github.com/scipy/scipy/commit/4b7d325cd50e8828b06d628e69426a18283dc5b5 # Also from https://github.com/scipy/scipy/pull/5292 # by Gillu13 (Gilles Aouizerate) # Copyright individual contributors to SciPy def test_fahrenheit_to_celcius(): assert_close(F2C(32.), 0) assert_close1d([F2C(32)], [0]) def test_celcius_to_kelvin(): assert_close1d([C2K(0.)], [273.15]) def test_kelvin_to_celcius(): assert_close1d([K2C(0.)], [-273.15]) def test_fahrenheit_to_kelvin(): assert_close1d([F2K(32.), F2K(32)], [273.15, 273.15]) def test_kelvin_to_fahrenheit(): assert_close1d([K2F(273.15), K2F(273.15)], [32, 32]) def test_celcius_to_fahrenheit(): assert_close1d([C2F(0.)]*2, [32, 32]) def test_celcius_to_rankine(): assert_close1d([C2R(0.), C2R(0.)], [491.67, 491.67], rtol=0., atol=1e-13) def test_kelvin_to_rankine(): assert_close1d([K2R(273.15), K2R(273.15)], [491.67, 491.67], rtol=0., atol=1e-13) def test_fahrenheit_to_rankine(): assert_close1d([F2R(32.), F2R(32.)], [491.67, 491.67], rtol=0., atol=1e-13) def test_rankine_to_fahrenheit(): assert_close1d([R2F(491.67), R2F(491.67)], [32., 32.], rtol=0., atol=1e-13) def test_rankine_to_celcius(): assert_close1d([R2C(491.67), R2C(491.67)], [0., 0.], rtol=0., atol=1e-13) def test_rankine_to_kelvin(): assert_close1d([R2K(491.67), R2K(0.)], [273.15, 0.], rtol=0., atol=1e-13) fluids-1.0.22/tests/test_geometry.py0000644000175000017500000016630114302004506017017 0ustar nileshnilesh# -*- coding: utf-8 -*- '''Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2016, 2017 Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.''' from __future__ import division from fluids import * from fluids.numerics import assert_close, assert_close1d, assert_close2d, isclose, linspace from math import * from fluids.constants import * import pytest def test_SA_partial_sphere(): SA1 = SA_partial_sphere(1., 0.7) assert_close(SA1, 2.199114857512855) SA2 = SA_partial_sphere(2, 1) # One spherical head's surface area: assert_close(SA2, 6.283185307179586) def test_V_partial_sphere(): V1 = V_partial_sphere(1., 0.7) assert_close(V1, 0.4105014400690663) assert 0.0 == V_partial_sphere(1., 0.0) def test_V_horiz_conical(): # Two examples from [1]_, and at midway, full, and empty. Vs_horiz_conical1 = [V_horiz_conical(D=108., L=156., a=42., h=i)/231. for i in (36, 84, 54, 108, 0)] Vs_horiz_conical1s = [2041.1923581273443, 6180.540773905826, 3648.490668241736, 7296.981336483472, 0.0] assert_close1d(Vs_horiz_conical1, Vs_horiz_conical1s) with pytest.raises(Exception): V_horiz_conical(D=108., L=156., a=42., h=109) # Head only custom example: V_head1 = V_horiz_conical(D=108., L=156., a=42., h=84., headonly=True)/231. V_head2 = V_horiz_conical(108., 156., 42., 84., headonly=True)/231. assert_close1d([V_head1, V_head2], [508.8239000645628]*2) assert V_horiz_conical(D=108., L=156., a=42., h=0, headonly=True) == 0.0 def test_V_horiz_ellipsoidal(): # Two examples from [1]_, and at midway, full, and empty. Vs_horiz_ellipsoidal = [V_horiz_ellipsoidal(D=108., L=156., a=42., h=i)/231. for i in (36, 84, 54, 108, 0)] Vs_horiz_ellipsoidals = [2380.9565415578145, 7103.445235921378, 4203.695769930696, 8407.391539861392, 0.0] assert_close1d(Vs_horiz_ellipsoidal, Vs_horiz_ellipsoidals) #Head only custom example: V_head1 = V_horiz_ellipsoidal(D=108., L=156., a=42., h=84., headonly=True)/231. V_head2 = V_horiz_ellipsoidal(108., 156., 42., 84., headonly=True)/231. assert_close1d([V_head1, V_head2], [970.2761310723387]*2) assert 0.0 == V_horiz_ellipsoidal(108., 156., 42., 0., headonly=True) def test_V_horiz_guppy(): # Two examples from [1]_, and at midway, full, and empty. V_calc = [V_horiz_guppy(D=108., L=156., a=42., h=i)/231. for i in (36, 84, 54, 108, 0)] Vs = [1931.7208029476762, 5954.110515329029, 3412.8543046053724, 7296.981336483472, 0.0] assert_close1d(V_calc, Vs) # Head only custom example: V_head1 = V_horiz_guppy(D=108., L=156., a=42., h=36, headonly=True)/231. V_head2 = V_horiz_guppy(108., 156., 42., 36, headonly=True)/231. assert_close1d([V_head1, V_head2], [63.266257496613804]*2) assert 0.0 == V_horiz_guppy(108., 156., 42., 0.0, headonly=True) def test_V_horiz_spherical(): # Two examples from [1]_, and at midway, full, and empty. V_calc = [V_horiz_spherical(D=108., L=156., a=42., h=i)/231. for i in (36, 84, 54, 108, 0)] Vs = [2303.9615116986183, 6935.163365275476, 4094.025626387197, 8188.051252774394, 0.0] assert_close1d(V_calc, Vs) assert 0.0 == V_horiz_spherical(D=108., L=156., a=42., h=0) # Test z = 0 zero division error base = V_horiz_spherical(D=108., L=156., a=54, h=36, headonly=True) perturbed = V_horiz_spherical(D=108., L=156., a=53.999999999, h=36, headonly=True) assert_close(base, perturbed, rtol=1e-10) # Test while z is very very slow perturbed = V_horiz_spherical(D=108., L=156., a=53.99999999, h=36, headonly=True) assert_close(base, perturbed, rtol=1e-7) # Test when the integration function is called, on its limits: # The integral can be done analytically, but there's a zero to the power of negative integer error # the expression is # -cmath.atan(cmath.sqrt((R ** 2 - x ** 2) / (-R ** 2 + r ** 2))) * x ** 3 / 3 + cmath.atan(cmath.sqrt((R ** 2 - x ** 2) / (-R ** 2 + r ** 2))) * r ** 2 * x + x * (R ** 2 - r ** 2) * cmath.sqrt(0.1e1 / (R ** 2 - r ** 2) * x ** 2 - R ** 2 / (R ** 2 - r ** 2)) / 6 + R ** 2 * cmath.log(x / (R ** 2 - r ** 2) * (0.1e1 / (R ** 2 - r ** 2)) ** (-0.1e1 / 0.2e1) + cmath.sqrt(0.1e1 / (R ** 2 - r ** 2) * x ** 2 - R ** 2 / (R ** 2 - r ** 2))) * (0.1e1 / (R ** 2 - r ** 2)) ** (-0.1e1 / 0.2e1) / 6 - 0.2e1 / 0.3e1 * r ** 2 * cmath.log(x / (R ** 2 - r ** 2) * (0.1e1 / (R ** 2 - r ** 2)) ** (-0.1e1 / 0.2e1) + cmath.sqrt(0.1e1 / (R ** 2 - r ** 2) * x ** 2 - R ** 2 / (R ** 2 - r ** 2))) * (0.1e1 / (R ** 2 - r ** 2)) ** (-0.1e1 / 0.2e1) - r ** 3 * cmath.atan((-2 + 2 / (R ** 2 - r ** 2) * r * (x - r)) * (0.1e1 / (R ** 2 - r ** 2) * (x - r) ** 2 + 2 / (R ** 2 - r ** 2) * r * (x - r) - 1) ** (-0.1e1 / 0.2e1) / 2) / 3 + r ** 3 * cmath.atan((-2 - 2 / (R ** 2 - r ** 2) * r * (x + r)) * (0.1e1 / (R ** 2 - r ** 2) * (x + r) ** 2 - 2 / (R ** 2 - r ** 2) * r * (x + r) - 1) ** (-0.1e1 / 0.2e1) / 2) / 3 Vs = [V_horiz_spherical(D=108., L=156., a=i, h=84.)/231. for i in (108*.009999999, 108*.01000001)] V_calc = [5201.54341872961, 5201.543461255985] assert_close1d(Vs, V_calc) # Head only custom example: V_head1 = V_horiz_spherical(D=108., L=156., a=42., h=84., headonly=True)/231. V_head2 = V_horiz_spherical(108., 156., 42., 84., headonly=True)/231. assert_close1d([V_head1, V_head2], [886.1351957493874]*2) def test_V_horiz_torispherical(): # Two examples from [1]_, and at midway, full, empty, and 1 inch; covering # all code cases. V_calc = [V_horiz_torispherical(D=108., L=156., f=1., k=0.06, h=i)/231. for i in [36, 84, 54, 108, 0, 1]] Vs = [2028.626670842139, 5939.897910157917, 3534.9973314622794, 7069.994662924554, 0.0, 9.580013820942611] assert_close1d(V_calc, Vs) # Head only custom example: V_head1 = V_horiz_torispherical(D=108., L=156., f=1., k=0.06, h=36, headonly=True)/231. V_head2 = V_horiz_torispherical(108., 156., 1., 0.06, 36, headonly=True)/231. assert_close1d([V_head1, V_head2], [111.71919144384525]*2) assert 0.0 == V_horiz_torispherical(108., 156., 1., 0.06, 0.0) def test_V_vertical_conical(): # Two examples from [1]_, and at empty and h=D. Vs_calc = [V_vertical_conical(132., 33., i)/231. for i in [24, 60, 0, 132]] Vs = [250.67461381371024, 2251.175535772343, 0.0, 6516.560761446257] assert_close1d(Vs_calc, Vs) assert 0.0 == V_vertical_conical(132., 33., 0.0) def test_V_vertical_ellipsoidal(): # Two examples from [1]_, and at empty and h=D. Vs_calc = [V_vertical_ellipsoidal(132., 33., i)/231. for i in [24, 60, 0, 132]] Vs = [783.3581681678445, 2902.831611916969, 0.0, 7168.216837590883] assert_close1d(Vs_calc, Vs) assert 0.0 == V_vertical_ellipsoidal(132., 33., 0.0) def test_V_vertical_spherical(): # Two examples from [1]_, and at empty and h=D. Vs_calc = [V_vertical_spherical(132., 33., i)/231. for i in [24, 60, 0, 132]] Vs = [583.6018352850442, 2658.4605833627343, 0.0, 6923.845809036648] assert_close1d(Vs_calc, Vs) assert 0.0 == V_vertical_spherical(132., 33., 0.0) def test_V_vertical_torispherical(): # Two examples from [1]_, and at empty, 1, 22, and h=D. Vs_calc = [V_vertical_torispherical(132., 1.0, 0.06, i)/231. for i in [24, 60, 0, 1, 22, 132]] Vs = [904.0688283793511, 3036.7614412163075, 0.0, 1.7906624793188568, 785.587561468186, 7302.146666890221] assert_close1d(Vs_calc, Vs) assert 0.0 == V_vertical_torispherical(132., 1.0, 0.06, 0.0) def test_V_vertical_conical_concave(): # Three examples from [1]_, and at empty and with h=D. Vs_calc = [V_vertical_conical_concave(113., -33.0, i)/231 for i in [15., 25., 50., 0, 113]] Vs = [251.15825565795188, 614.6068425492208, 1693.1654406426783, 0.0, 4428.278844757774] assert_close1d(Vs_calc, Vs) assert 0.0 == V_vertical_conical_concave(113., -33.0, 0.0) def test_V_vertical_ellipsoidal_concave(): # Three examples from [1]_, and at empty and with h=D. Vs_calc = [V_vertical_ellipsoidal_concave(113., -33.0, i)/231 for i in [15., 25., 50., 0, 113]] Vs = [44.84968851034856, 207.6374468071692, 1215.605957384487, 0.0, 3950.7193614995826] assert_close1d(Vs_calc, Vs) assert 0.0 == V_vertical_ellipsoidal_concave(113., -33, 0.0) def test_V_vertical_spherical_concave(): # Three examples from [1]_, and at empty and with h=D. Vs_calc = [V_vertical_spherical_concave(113., -33.0, i)/231 for i in [15., 25., 50., 0, 113]] Vs = [112.81405437348528, 341.7056403375114, 1372.9286894955042, 0.0, 4108.042093610599] assert_close1d(Vs_calc, Vs) assert 0.0 == V_vertical_spherical_concave(113., -33, 0.0) def test_V_vertical_torispherical_concave(): # Three examples from [1]_, and at empty and with h=D. Vs_calc = [V_vertical_torispherical_concave(D=113., f=0.71, k=0.081, h=i)/231 for i in [15., 25., 50., 0, 113]] Vs = [103.88569287163769, 388.72142877582087, 1468.762358198084, 0.0, 4203.87576231318] assert_close1d(Vs_calc, Vs) assert 0.0 == V_vertical_torispherical_concave(D=113., f=0.71, k=0.081, h=0.0) # Does not use 0 <= h < a2; and then does use it; should be the same base = V_vertical_torispherical_concave(D=113., f=0.71, k=0.16794375443150927, h=15) perturbed = V_vertical_torispherical_concave(D=113., f=0.71, k=0.16794375443151, h=15) assert_close(base, perturbed, rtol=1e-14) def test_geometry(): SA1 = SA_ellipsoidal_head(2, 1) SA2 = SA_ellipsoidal_head(2, 0.999) SAs = [6.283185307179586, 6.278996936093318] assert_close1d([SA1, SA2], SAs) SA = SA_ellipsoidal_head(2, 1.5) assert_close(SA, 8.459109081729984, rtol=1e-12) # Check code avoids zero division error assert_close(SA_ellipsoidal_head(2, 1e-8), pi) SA1 = SA_conical_head(2, 1) SAs = 4.442882938158366 assert_close(SA1, SAs) SA1 = SA_guppy_head(2, 1) assert_close(SA1, 6.654000019110157) SA1 = SA_torispheroidal(D=2.54, f=1.039370079, k=0.062362205) assert_close(SA1, 6.00394283477063, rtol=1e-12) SA1 = SA_tank(D=2, L=2)[0] SA2 = SA_tank(D=1., L=0, sideA='ellipsoidal', sideA_a=2, sideB='ellipsoidal', sideB_a=2)[0] SA3 = SA_tank(D=1., L=5, sideA='conical', sideA_a=2, sideB='conical', sideB_a=2)[0] SA4 = SA_tank(D=1., L=5, sideA='spherical', sideA_a=0.5, sideB='spherical', sideB_a=0.5)[0] SAs = [18.84955592153876, 10.124375616183064, 22.18452243965656, 18.84955592153876] assert_close1d([SA1, SA2, SA3, SA4], SAs) SA1, SA2, SA3, SA4 = SA_tank(D=2.54, L=5, sideA='torispherical', sideB='torispherical', sideA_f=1.039370079, sideA_k=0.062362205, sideB_f=1.039370079, sideB_k=0.062362205) SAs = [51.90611237013163, 6.00394283477063, 6.00394283477063, 39.89822670059037] assert_close1d([SA1, SA2, SA3, SA4], SAs) SA1 = SA_tank(D=1., L=5, sideA='guppy', sideA_a=0.5, sideB='guppy', sideB_a=0.5)[0] assert_close(SA1, 19.034963277504044) a1 = a_torispherical(D=96., f=0.9, k=0.2) a2 = a_torispherical(D=108., f=1., k=0.06) ais = [25.684268924767125, 18.288462280484797] assert_close1d([a1, a2], ais) # Horizontal configurations, compared with TankCalc - Ellipsoidal*2, # Ellipsoidal/None, spherical/conical, None/None. Final test is guppy/torispherical, # no checks available. Vs_calc = [V_from_h(h=h, D=10., L=25., horizontal=True, sideA='ellipsoidal', sideB='ellipsoidal', sideA_a=2, sideB_a=2) for h in [1, 2.5, 5, 7.5, 10]] Vs = [108.05249928250362, 416.5904542901302, 1086.4674593664702, 1756.34446444281, 2172.9349187329403] assert_close1d(Vs_calc, Vs) Vs_calc =[V_from_h(h=h, D=10., L=25., horizontal=True, sideA='ellipsoidal', sideA_a=2) for h in [1, 2.5, 5, 7.5, 10]] Vs = [105.12034613915314, 400.22799255268336, 1034.1075818066402, 1667.9871710605971, 2068.2151636132803] assert_close1d(Vs_calc, Vs) Vs_calc = [V_from_h(h=h, D=10., L=25., horizontal=True, sideA='spherical', sideB='conical', sideA_a=2, sideB_a=2) for h in [1, 2.5, 5, 7.5, 10]] Vs = [104.20408244287965, 400.47607362329063, 1049.291946298991, 1698.107818974691, 2098.583892597982] assert_close1d(Vs_calc, Vs) Vs_calc = [V_from_h(h=h, D=10., L=25., horizontal=True, sideB='spherical', sideA='conical', sideB_a=2, sideA_a=2) for h in [1, 2.5, 5, 7.5, 10]] assert_close1d(Vs_calc, Vs) Vs_calc = [V_from_h(h=h, D=1.5, L=5., horizontal=True) for h in [0, 0.75, 1.5]] Vs = [0.0, 4.417864669110647, 8.835729338221293] assert_close1d(Vs_calc, Vs) Vs_calc = [V_from_h(h=h, D=10., L=25., horizontal=True, sideA='guppy', sideB='torispherical', sideA_a=2, sideB_f=1., sideB_k=0.06) for h in [1, 2.5, 5, 7.5, 10]] Vs = [104.68706323659293, 399.0285611453449, 1037.3160340613756, 1683.391972469731, 2096.854290344973] assert_close1d(Vs_calc, Vs) Vs_calc = [V_from_h(h=h, D=10., L=25., horizontal=True, sideB='guppy', sideA='torispherical', sideB_a=2, sideA_f=1., sideA_k=0.06) for h in [1, 2.5, 5, 7.5, 10]] assert_close1d(Vs_calc, Vs) with pytest.raises(Exception): V_from_h(h=7, D=1.5, L=5) # bad head cases with pytest.raises(Exception): V_from_h(h=2.6, D=10., L=25., horizontal=True, sideA='BADHEAD', sideB='torispherical', sideA_a=2, sideB_f=1., sideB_k=0.06) with pytest.raises(Exception): V_from_h(h=2.6, D=10., L=25., horizontal=True, sideA='torispherical', sideB='BADHEAD', sideA_a=2, sideB_f=1., sideB_k=0.06) # Vertical configurations, compared with TankCalc - conical*2, spherical*2, # ellipsoidal*2. Torispherical*2 has no check. None*2 checks. Vs_calc = [V_from_h(h=h, D=1.5, L=5., horizontal=False, sideA='conical', sideB='conical', sideA_a=2., sideB_a=1.) for h in [0, 1, 2, 5., 7, 7.2, 8]] Vs = [0.0, 0.14726215563702155, 1.1780972450961726, 6.4795348480289485, 10.013826583317465, 10.301282311120932, 10.602875205865551] assert_close1d(Vs_calc, Vs) Vs_calc = [V_from_h(h=h, D=8., L=10., horizontal=False, sideA='spherical', sideB='spherical', sideA_a=3., sideB_a=4.) for h in [0, 1.5, 3, 8.5, 13., 15., 16.2, 17]] Vs = [0.0, 25.91813939211579, 89.5353906273091, 365.99554414321085, 592.190215201676, 684.3435997069765, 718.7251897078633, 726.2315017548405] assert_close1d(Vs_calc, Vs) Vs_calc = [V_from_h(h=h, D=8., L=10., horizontal=False, sideA='ellipsoidal', sideB='ellipsoidal', sideA_a=3., sideB_a=4.) for h in [0, 1.5, 3, 8.5, 13., 15., 16.2, 17]] Vs = [0.0, 31.41592653589793, 100.53096491487338, 376.99111843077515, 603.1857894892403, 695.3391739945409, 729.7207639954277, 737.2270760424049] assert_close1d(Vs_calc, Vs) Vs_calc = [V_from_h(h=h, D=8., L=10., horizontal=False, sideA='torispherical', sideB='torispherical', sideA_a=1.3547, sideB_a=1.3547, sideA_f=1., sideA_k=0.06, sideB_f=1., sideB_k=0.06) for h in [0, 1.3, 9.3, 10.1, 10.7094, 12]] Vs = [0.0, 38.723353379954276, 440.84578224136413, 481.0581682073135, 511.68995321687544, 573.323556832692] assert_close1d(Vs_calc, Vs) Vs_calc = [V_from_h(h=h, D=1.5, L=5., horizontal=False) for h in [0, 2.5, 5]] Vs = [0, 4.417864669110647, 8.835729338221293] assert_close1d(Vs_calc, Vs) with pytest.raises(Exception): V_from_h(h=7, D=1.5, L=5., horizontal=False) def test_TANK_cross_sectional_area(): T1 = TANK(L=120*inch, D=72*inch, horizontal=False, sideA='torispherical' ,sideB='same') assert_close(T1.A_cross_sectional(0.5*T1.h_max), 0.25*pi*T1.D**2) def test_from_two_specs(): # Takes about 1 ms T0 = TANK(horizontal=True, L=15, D=3) A_cross = T0.A_cross_sectional(1.5) T1 = TANK.from_two_specs(T0.V_total, A_cross, spec0_name='V', spec1_name='A_cross', h=1e-10, horizontal=False) assert_close(T1.V_total, T0.V_total) assert_close(T0.A_cross_sectional(1.5), T1.A_cross_sectional(1e-10)) def test_SA_partial(): # Checked with # https://www.aqua-calc.com/calculate/volume-in-a-horizontal-cylinder SA = SA_partial_cylindrical_body(L=120*inch, D=72*inch, h=24*inch) + 2*A_partial_circle(D=72*inch, h=24*inch) assert_close(SA/(foot**2), (8.250207631*2+73.85756504)) # partial area of one circle # Checked at https://www.aqua-calc.com/calculate/volume-in-a-horizontal-cylinder assert_close(A_partial_circle(D=72, h=24), 1188.02989891) assert_close(A_partial_circle(D=72, h=72), 0.25*pi*72**2) assert_close(A_partial_circle(D=72, h=0), 0) # hard checks assert A_partial_circle(D=72, h=72*(1+1e-15)) == A_partial_circle(D=72, h=72) assert 0 == A_partial_circle(D=72, h=1e-9) assert 0 == A_partial_circle(D=72, h=-1e-20) assert_close(SA_partial_cylindrical_body(L=200.0, D=96., h=22.0), 19168.852890279868, rtol=1e-12) assert_close(SA_partial_cylindrical_body(L=200.0, D=96., h=96), pi*96*200.0, rtol=1e-15) # Pi D L check for full assert 0 == SA_partial_cylindrical_body(L=200.0, D=96., h=0) assert 0 == SA_partial_cylindrical_body(L=200.0, D=96., h=-1e-14) SA_higher = SA_partial_cylindrical_body(L=200.0, D=1., h=1+1e-15) assert_close(SA_higher, pi*200.0, rtol=1e-15) def test_SA_partial_horiz_conical_head(): # Conical heads As_expect = [101.35826, 141.37167, 181.38508] hs = [24*inch, 36*inch, 48*inch] for h, A_expect in zip(hs, As_expect): SA = (2*SA_partial_horiz_conical_head(D=72*inch, a=48*inch, h=h) + SA_partial_cylindrical_body(D=72*inch, L=120*inch, h=h)) A_calc = SA/(foot**2) assert_close(A_calc, A_expect, rtol=4e-8) assert 0 == SA_partial_horiz_conical_head(D=72., a=48.0, h=0) assert 0 == SA_partial_horiz_conical_head(D=72., a=48.0, h=-1e-16) assert SA_partial_horiz_conical_head(D=72., a=48.0, h=72) == SA_partial_horiz_conical_head(D=72., a=48.0, h=72+1e-5) assert_close(SA_partial_horiz_conical_head(D=72., a=0, h=35), A_partial_circle(D=72, h=35), rtol=1e-12) # Integration tests T1 = TANK(L=120*inch, D=72*inch, horizontal=True, sideA='conical', sideA_a=48*inch, sideB='same') assert_close(T1.SA_from_h(24*inch)/foot**2, 101.35826, rtol=1e-7) assert_close(T1.SA_from_h(36*inch)/foot**2, 141.37167, rtol=1e-7) assert_close(T1.SA_from_h(48*inch)/foot**2, 181.38508, rtol=1e-7) assert T1.SA_from_h(0) == 0.0 assert_close(T1.SA_from_h(T1.h_max), T1.A, rtol=1e-14) def test_SA_partial_horiz_spherical_head(): L = 120*inch D = 72*inch a_values = [24*inch]*3 + [36*inch]*3 h_values = [24*inch, 36*inch, 48*inch]*2 SA_expect = [99.49977, 135.08848, 170.67720, 111.55668, 150.79645, 190.03622] SA_expect = [i*foot**2 for i in SA_expect] for i in range(6): SA = (2*SA_partial_horiz_spherical_head(D=D, a=a_values[i], h=h_values[i]) + SA_partial_cylindrical_body(D=D, L=L, h=h_values[i])) assert_close(SA, SA_expect[i], rtol=4e-8) # numerical integral, expect 1e-7 tol from the code SA_calc = SA_partial_horiz_spherical_head(D=72., a=48.0, h=24.0) assert_close(SA_calc, 2027.2672091672684, rtol=1e-7) assert 0 == SA_partial_horiz_spherical_head(D=72., a=48.0, h=1e-20) assert 0 == SA_partial_horiz_spherical_head(D=72., a=48.0, h=-1e-12) assert SA_partial_horiz_spherical_head(D=72., a=48.0, h=7200) == SA_partial_horiz_spherical_head(D=72., a=48.0, h=72) assert_close(SA_partial_horiz_spherical_head(D=72., a=36+1e-11, h=22), SA_partial_horiz_spherical_head(D=72., a=36, h=22), rtol=1e-8) # Integration tests T1 = TANK(L=120*inch, D=72*inch, horizontal=True, sideA='spherical', sideA_a=24*inch, sideB='same') assert_close(T1.SA_from_h(24*inch)/foot**2, 99.49977, rtol=1e-7) assert_close(T1.SA_from_h(36*inch)/foot**2, 135.08848, rtol=1e-7) assert_close(T1.SA_from_h(48*inch)/foot**2, 170.67720, rtol=1e-7) assert 0.0 == T1.SA_from_h(0) # Numerical integral here too assert_close(T1.SA_from_h(T1.h_max), T1.A, rtol=1e-7) T2 = TANK(L=120*inch, D=72*inch, horizontal=True, sideA='spherical', sideA_a=36*inch, sideB='same') assert_close(T2.SA_from_h(24*inch)/foot**2, 111.55668, rtol=1e-7) assert_close(T2.SA_from_h(36*inch)/foot**2, 150.79645, rtol=1e-7) assert_close(T2.SA_from_h(48*inch)/foot**2, 190.03622, rtol=1e-7) assert 0.0 == T2.SA_from_h(0) assert_close(T2.SA_from_h(T2.h_max), T2.A, rtol=2e-12) def test_SA_partial_horiz_guppy_head(): L = 120*inch D = 72*inch h_values = [24*inch, 36*inch, 48*inch] SA_expect = [94.24500, 129.98330, 167.06207] SA_expect = [i*foot**2 for i in SA_expect] for i in range(3): SA = (2*SA_partial_horiz_guppy_head(D=D, a=48*inch, h=h_values[i]) + SA_partial_cylindrical_body(D=D, L=L, h=h_values[i])) assert_close(SA, SA_expect[i], rtol=5e-8) assert 0 == SA_partial_horiz_guppy_head(D=72., a=48.0, h=1e-20) assert 0 == SA_partial_horiz_guppy_head(D=72., a=48.0, h=-1e-12) assert SA_partial_horiz_guppy_head(D=72., a=48.0, h=7200) == SA_partial_horiz_guppy_head(D=72., a=48.0, h=72) assert_close(SA_partial_horiz_guppy_head(D=72., a=48.0, h=24.0), 1467.8949780037, rtol=1e-8) assert pi*72*inch/2*72*inch == SA_partial_horiz_guppy_head(D=72*inch, a=36*inch, h=72*inch) # Area is NOT CONSISTENT! T1 = TANK(L=120*inch, D=72*inch, horizontal=True, sideA='guppy', sideA_a=48*inch, sideB='same') assert_close(T1.SA_from_h(24*inch)/foot**2, 94.24500, rtol=1e-7) assert_close(T1.SA_from_h(36*inch)/foot**2, 129.98330, rtol=1e-7) assert_close(T1.SA_from_h(48*inch)/foot**2, 167.06207, rtol=1e-7) assert 0.0 == T1.SA_from_h(0) # assert_close(T1.SA_from_h(T1.h_max), T1.A, rtol=1e-12) def test_SA_partial_horiz_ellipsoidal_head(): L = 120*inch D = 72*inch h_values = [24*inch, 36*inch, 48*inch]*3 SA_expect = [102.59905, 138.74815, 174.89725, 111.55668, 150.79645, 190.03622, 121.09692, 163.71486, 206.33279] SA_expect = [i*foot**2 for i in SA_expect] a_values = [24*inch]*3 + [36*inch]*3 + [48*inch]*3 for i in range(9): SA = (2*SA_partial_horiz_ellipsoidal_head(D=D, a=a_values[i], h=h_values[i]) + SA_partial_cylindrical_body(D=D, L=L, h=h_values[i])) assert_close(SA, SA_expect[i], rtol=5e-8) assert 0 == SA_partial_horiz_ellipsoidal_head(D=72., a=48.0, h=1e-20) assert 0 == SA_partial_horiz_ellipsoidal_head(D=72., a=48.0, h=-1e-12) assert SA_partial_horiz_ellipsoidal_head(D=72., a=48.0, h=7200) == SA_partial_horiz_ellipsoidal_head(D=72., a=48.0, h=72) assert_close(SA_partial_horiz_ellipsoidal_head(D=72., a=48.0, h=24.0), 3401.2336225352738, rtol=1e-11) # Integration tests T1 = TANK(L=120*inch, D=72*inch, horizontal=True, sideA='ellipsoidal', sideA_a=24*inch, sideB='same') assert_close(T1.SA_from_h(24*inch)/foot**2, 102.59905, rtol=1e-7) assert_close(T1.SA_from_h(36*inch)/foot**2, 138.74815, rtol=1e-7) assert_close(T1.SA_from_h(48*inch)/foot**2, 174.89725, rtol=1e-7) assert_close(T1.SA_from_h(T1.h_max), T1.A, rtol=1e-12) assert 0.0 == T1.SA_from_h(0) T2 = TANK(L=120*inch, D=72*inch, horizontal=True, sideA='ellipsoidal', sideA_a=36*inch, sideB='same') assert_close(T2.SA_from_h(24*inch)/foot**2, 111.55668, rtol=1e-7) assert_close(T2.SA_from_h(36*inch)/foot**2, 150.79645, rtol=1e-7) assert_close(T2.SA_from_h(48*inch)/foot**2, 190.03622, rtol=1e-7) assert 0.0 == T2.SA_from_h(0) assert_close(T2.SA_from_h(T2.h_max), T2.A, rtol=1e-12) T3 = TANK(L=120*inch, D=72*inch, horizontal=True, sideA='ellipsoidal', sideA_a=48*inch, sideB='same') assert_close(T3.SA_from_h(24*inch)/foot**2, 121.09692, rtol=1e-7) assert_close(T3.SA_from_h(36*inch)/foot**2, 163.71486, rtol=1e-7) assert_close(T3.SA_from_h(48*inch)/foot**2, 206.33279, rtol=1e-7) assert 0.0 == T3.SA_from_h(0) assert_close(T3.SA_from_h(T3.h_max), T3.A, rtol=1e-12) def test_SA_partial_horiz_torispherical_head(): # Nasty Python-2 only numerical issue in _SA_partial_horiz_torispherical_head_int_1 ; fixed # by ensuring numbers were complex assert_close(SA_partial_horiz_torispherical_head(D=1.8288, f=1.0, k=0.06, h=0.6095999999999999), 0.9491605631461236) # Python 2 issue with trig due to my own mistake assert_close(SA_partial_horiz_torispherical_head(D=1.8288, f=0.9, k=0.1, h=0.6095999999999999), 1.037030313486593, rtol=1e-6) L = 120*inch D = 72*inch h_values = [2.28*inch, 24*inch, 36*inch, 48*inch, 69.72*inch] h_values += [3*inch, 24*inch, 36*inch, 48*inch, 69*inch] SA_expect = [22.74924, 94.29092, 127.74876, 161.20660, 232.74828, 26.82339, 96.18257, 130.22802, 164.27347, 233.63265] SA_expect = [i*foot**2 for i in SA_expect] k_values = [.06]*5 + [.1]*5 f_values = [1.0]*5 + [.9]*5 for i in range(9): SA = (2*SA_partial_horiz_torispherical_head(D=D, f=f_values[i], k=k_values[i], h=h_values[i]) + SA_partial_cylindrical_body(D=D, L=L, h=h_values[i])) assert_close(SA, SA_expect[i], rtol=2e-7) # Precision points for the three regimes SA = SA_partial_horiz_torispherical_head(D=72., f=1, k=.06, h=2) assert_close(SA, 80.54614956735351, rtol=1e-7) # Only have 1e-7 tolerance here due to numerical itnegration SA = SA_partial_horiz_torispherical_head(D=72., f=1, k=.06, h=20) assert_close(SA, 1171.9138610357936, rtol=1e-7) SA = SA_partial_horiz_torispherical_head(D=72., f=1, k=.06, h=71) assert_close(SA, 4784.441787378645, rtol=1e-7) # Error handling # Was a bug computing this SA_partial_horiz_torispherical_head(D=72., f=1, k=.06, h=1e-20) assert 0 == SA_partial_horiz_torispherical_head(D=72., f=1, k=.06, h=0) assert 0 == SA_partial_horiz_torispherical_head(D=72., f=1, k=.06, h=-1e-12) assert SA_partial_horiz_torispherical_head(D=72., f=1, k=.06, h=7200) == SA_partial_horiz_torispherical_head(D=72., f=1, k=.06, h=72) # Check G returns a real number assert_close(SA_partial_horiz_torispherical_head(D=72., f=1, k=.06, h=1e-13), 3.859157404406146e-12, rtol=.1) # Torispherical tests T1 = TANK(L=120*inch, D=72*inch, horizontal=True, sideA='torispherical', sideA_f=1, sideA_k=.06, sideB='same') assert_close(T1.SA_from_h(2.28*inch)/foot**2, 22.74924, rtol=1e-7) assert_close(T1.SA_from_h(24*inch)/foot**2, 94.29092, rtol=1e-7) assert_close(T1.SA_from_h(36*inch)/foot**2, 127.74876, rtol=1e-7) assert_close(T1.SA_from_h(48*inch)/foot**2, 161.20660, rtol=1e-7) assert_close(T1.SA_from_h(69.72*inch)/foot**2, 232.74828, rtol=1e-7) assert 0.0 == T1.SA_from_h(0) assert_close(T1.SA_from_h(T1.h_max), T1.A, rtol=1e-12) T2 = TANK(L=120*inch, D=72*inch, horizontal=True, sideA='torispherical', sideA_f=.9, sideA_k=.1, sideB='same') assert_close(T2.SA_from_h(3*inch)/foot**2, 26.82339, rtol=2e-7) assert_close(T2.SA_from_h(24*inch)/foot**2, 96.18257, rtol=1e-7) assert_close(T2.SA_from_h(36*inch)/foot**2, 130.22802, rtol=1e-7) assert_close(T2.SA_from_h(48*inch)/foot**2, 164.27347, rtol=1e-7) assert_close(T2.SA_from_h(69*inch)/foot**2, 233.63265, rtol=1e-7) assert 0.0 == T2.SA_from_h(0) assert_close(T2.SA_from_h(T2.h_max), T2.A, rtol=1e-12) def test_SA_vert_flat_got_area(): T_actually_flat = TANK(L=120, D=72, horizontal=False) assert_close(T_actually_flat.SA_from_h(0), 4071.5040790523717, rtol=1e-15) assert_close(T_actually_flat.SA_from_h(T_actually_flat.h_max), 35286.36868512056, rtol=1e-15) T_actually_flat2 = TANK(L=1e-100, D=72, horizontal=False) assert_close(T_actually_flat2.SA_from_h(0), 4071.5040790523717, rtol=1e-15) assert_close(T_actually_flat2.SA_from_h(T_actually_flat2.h_max), 2*4071.5040790523717, rtol=1e-15) def test_SA_partial_vertical_conical_head(): SA = SA_partial_vertical_conical_head(D=72., a=48.0, h=24.0) assert_close(SA, 1696.4600329384882) # Integration tests T1 = TANK(L=120*inch, D=72*inch, horizontal=False, sideA='conical', sideA_a=36*inch, sideB='same') assert_close(T1.SA_from_h(36*inch)/foot**2, 39.98595) assert_close(T1.SA_from_h(0)/foot**2, 0) assert_close(T1.SA_from_h(-1e-14)/foot**2, 0) T2 = TANK(L=120*inch, D=72*inch, horizontal=False, sideA='conical', sideA_a=48*inch, sideB='same') assert_close(T2.SA_from_h(24*inch)/foot**2, 11.78097, rtol=3e-7) assert_close(T2.SA_from_h(36*inch)/foot**2, 26.50719, rtol=1e-7) assert_close(T2.SA_from_h(48*inch)/foot**2, 47.12389, rtol=1e-7) assert_close(T2.SA_from_h(60*inch)/foot**2, 65.97345, rtol=1e-7) assert_close(T2.SA_from_h(72*inch)/foot**2, 84.82300, rtol=1e-7) assert_close(T2.SA_from_h(0)/foot**2,0, rtol=1e-7) assert_close(T2.SA_from_h(-1e-14)/foot**2,0, rtol=1e-7) assert_close(T2.SA_from_h(T2.h_max), 26.26771571641428, rtol=1e-12) assert_close(T2.SA_from_h(T2.h_max*.95), 26.046081865057033, rtol=1e-12) T_flat = TANK(L=120*inch, D=72*inch, horizontal=False, sideA='conical', sideA_a=0, sideB='same') T_actually_flat = TANK(L=120*inch, D=72*inch, horizontal=False) for h in (0, T_flat.h_max*.1, T_flat.h_max*.4, T_flat.h_max*.9, T_flat.h_max): assert_close(T_flat.SA_from_h(h), T_actually_flat.SA_from_h(h), rtol=1e-11) def test_SA_partial_vertical_spherical_head(): SA = SA_partial_vertical_spherical_head(72, a=24, h=12) assert_close(SA, 2940.5307237600464) # Make sure we cover zeros, avoid the zero division assert_close(SA_partial_vertical_spherical_head(D=1, a=0.0, h=1e-100), 0.7853981633974483, rtol=1e-12) # Integration tests T1 = TANK(L=120*inch, D=72*inch, horizontal=False, sideA='spherical', sideA_a=24*inch, sideB='same') assert_close(T1.SA_from_h(12*inch)/foot**2, 20.42035, rtol=2e-7) assert_close(T1.SA_from_h(24*inch)/foot**2, 40.84070, rtol=2e-7) assert_close(T1.SA_from_h(48*inch)/foot**2, 78.53982, rtol=2e-7) T2 = TANK(L=120*inch, D=72*inch, horizontal=False, sideA='spherical', sideA_a=36*inch, sideB='same') assert_close(T2.SA_from_h(18*inch)/foot**2, 28.27433, rtol=2e-7) assert_close(T2.SA_from_h(36*inch)/foot**2, 56.54867, rtol=2e-7) assert_close(T2.SA_from_h(60*inch)/foot**2, 94.24778, rtol=2e-7) assert_close(T2.SA_from_h(T2.h_max), 28.01889676417523, rtol=1e-10) assert 0 == T2.SA_from_h(0) assert 0 == T2.SA_from_h(-1e-12) # T2.SA_from_h(1e-320) # works :) T_flat = TANK(L=120*inch, D=72*inch, horizontal=False, sideA='spherical', sideA_a=0, sideB='same') T_actually_flat = TANK(L=120*inch, D=72*inch, horizontal=False) for h in (0, T_flat.h_max*.1, T_flat.h_max*.4, T_flat.h_max*.9, T_flat.h_max): assert_close(T_flat.SA_from_h(h), T_actually_flat.SA_from_h(h), rtol=1e-15) def test_SA_partial_vertical_torispherical_head(): assert_close(SA_partial_vertical_torispherical_head(D=1.8288, f=1, k=.06, h=0.2127198169675985*(1-1e-12)), SA_partial_vertical_torispherical_head(D=1.8288, f=1, k=.06, h=0.2127198169675985*(1+1e-12)), rtol=1e-9) assert_close(SA_partial_vertical_torispherical_head(D=1.8288, f=1, k=.06, h=.2), 2.2981378579540053, rtol=1e-12) assert_close(SA_partial_vertical_torispherical_head(D=1.8288, f=1, k=.06, h=.3), 3.056637737809865, rtol=1e-12) assert 0 == SA_partial_vertical_torispherical_head(D=72*inch, f=1, k=.06, h=0) assert 0 == SA_partial_vertical_torispherical_head(D=72*inch, f=1, k=.06, h=-1e-16) # Integration tests T1 = TANK(L=120*inch, D=72*inch, horizontal=False, sideA='torispherical', sideA_f=1, sideA_k=.06, sideB='same') assert_close(T1.SA_from_h(2*inch)/foot**2, 6.28319, rtol=1e-6) assert_close(T1.SA_from_h(6*inch)/foot**2, 18.84956, rtol=2.5e-7) assert_close(T1.SA_from_h(12*inch)/foot**2, 33.19882, rtol=1e-7) assert_close(T1.SA_from_h(T1.sideA_a)/foot**2, 33.50098, rtol=1e-7) assert_close(T1.SA_from_h(36.19231*inch)/foot**2, 71.20010, rtol=1e-7) T2 = TANK(L=120*inch, D=72*inch, horizontal=False, sideA='torispherical', sideA_f=.9, sideA_k=.1, sideB='same') assert_close(T2.SA_from_h(6*inch)/foot**2, 16.96460, rtol=2e-7) assert_close(T2.SA_from_h(8*inch)/foot**2, 22.61947, rtol=2e-7) assert_close(T2.SA_from_h(12*inch)/foot**2, 31.28983, rtol=2e-7) assert_close(T2.SA_from_h(14.91694*inch)/foot**2, 35.98024, rtol=2e-7) assert_close(T2.SA_from_h(38.91694*inch)/foot**2, 73.67936, rtol=2e-7) assert_close(T2.SA_from_h(1), 6.911163458435757, rtol=1e-12) assert_close(T2.SA_from_h(T2.h_max), 24.197157590255674, rtol=1e-12) assert_close(T2.SA_from_h(T2.h_max*.9642342), 22.789489525238952, rtol=1e-12) assert T2.SA_from_h(0) == 0 assert T2.SA_from_h(-1e-12) == 0 # Cannot do flat tests with torispherical, it does not support it def test_SA_partial_vertical_ellipsoidal_head(): SA = SA_partial_vertical_ellipsoidal_head(D=72., a=48.0, h=24.0) assert_close(SA, 4675.237891376319, rtol=1e-12) # Integration tests T1 = TANK(L=120*inch, D=72*inch, horizontal=False, sideA='ellipsoidal', sideA_a=24*inch, sideB='same') assert_close(T1.SA_from_h(12*inch)/foot**2, 24.71061) assert_close(T1.SA_from_h(24*inch)/foot**2, 44.50037) assert_close(T1.SA_from_h(48*inch)/foot**2, 82.19948) T2 = TANK(L=120*inch, D=72*inch, horizontal=False, sideA='ellipsoidal', sideA_a=36*inch, sideB='same') assert_close(T2.SA_from_h(18*inch)/foot**2, 28.27433, rtol=1.5e-7) assert_close(T2.SA_from_h(36*inch)/foot**2, 56.54867, rtol=1e-7) assert_close(T2.SA_from_h(60*inch)/foot**2, 94.24778, rtol=1e-7) T3 = TANK(L=120*inch, D=72*inch, horizontal=False, sideA='ellipsoidal', sideA_a=48*inch, sideB='same') assert_close(T3.SA_from_h(24*inch)/foot**2, 32.46693, rtol=1e-7) assert_close(T3.SA_from_h(48*inch)/foot**2, 69.46708, rtol=1e-7) assert_close(T3.SA_from_h(72*inch)/foot**2, 107.16619, rtol=1e-7) assert_close(T3.SA_from_h(T3.h_max), 30.419215944509517, rtol=1e-12) assert T3.SA_from_h(0) == 0 assert T3.SA_from_h(-1e-13) == 0 # Flat test case T_flat = TANK(L=120*inch, D=72*inch, horizontal=False, sideA='ellipsoidal', sideA_a=0, sideB='same') T_actually_flat = TANK(L=120*inch, D=72*inch, horizontal=False) for h in (0, T_flat.h_max*.1, T_flat.h_max*.4, T_flat.h_max*.9, T_flat.h_max): assert_close(T_flat.SA_from_h(h), T_actually_flat.SA_from_h(h), rtol=1e-11) # Numerical issue - unsolved, when `a` approaches `R`. The switch is smooth if we zoom out but not if we are close low = SA_partial_vertical_ellipsoidal_head(72*inch, a=36.*inch*(1+1e-9), h=18*inch) high = SA_partial_vertical_ellipsoidal_head(72*inch, a=36.*inch*(1-1e-9), h=18*inch) assert_close(low, high, rtol=1e-8) # The issue has been identified to be occurring in the just-above 36 code with pytest.raises(Exception): low = SA_partial_vertical_ellipsoidal_head(72*inch, a=36.*inch*(1+1e-12), h=18*inch) high = SA_partial_vertical_ellipsoidal_head(72*inch, a=36.*inch*(1-1e-12), h=18*inch) assert_close(low, high, rtol=1e-8) assert_close(0.25*pi*72**2*inch**2, SA_partial_vertical_ellipsoidal_head(72*inch, a=0.0, h=1e-20)) def test_SA_from_h_basics(): # Bad side names with pytest.raises(ValueError): SA_from_h(h=7, D=1.5, L=5., horizontal=False, sideA='conical', sideB='NOTASIDE', sideA_a=2., sideB_a=1.) with pytest.raises(ValueError): SA_from_h(h=7, D=1.5, L=5., horizontal=False, sideB='conical', sideA='NOTASIDE', sideA_a=2., sideB_a=1.) # height above tank height with pytest.raises(ValueError): SA_from_h(h=70, D=1.5, L=5., horizontal=False, sideA='conical', sideB='conical', sideA_a=2., sideB_a=1.) # height above tank height with pytest.raises(ValueError): SA_from_h(h=15, D=1.5, L=5., horizontal=True, sideA=None, sideB=None) assert_close(SA_from_h(h=1.5, D=1.5, L=5., horizontal=True, sideA=None, sideB=None), 0.25*pi*1.5**2*2 + 1.5*5*pi, rtol=1e-13) def test_pitch_angle_solver(): ans = [{'angle': 30.0, 'pitch': 2., 'pitch_parallel': 1.7320508075688774, 'pitch_normal': 1.}, {'angle': 60.0, 'pitch': 2., 'pitch_parallel': 1., 'pitch_normal': 1.7320508075688774}, {'angle': 45.0, 'pitch': 2., 'pitch_parallel': 1.414213562373095, 'pitch_normal': 1.414213562373095}, {'angle': 90.0, 'pitch': 1., 'pitch_parallel': 0., 'pitch_normal': 1.}, {'angle': 0.0, 'pitch': 1., 'pitch_parallel': 1., 'pitch_normal': 0.}, ] for ans_set in ans: for k1, v1 in ans_set.items(): for k2, v2 in ans_set.items(): if k1 != k2 and v1 != 0 and v2 != 0: angle, pitch, pitch_parallel, pitch_normal = pitch_angle_solver(**{k1:v1, k2:v2}) assert_close(ans_set['angle'], angle, atol=1e-16) assert_close(ans_set['pitch'], pitch, atol=1e-16) assert_close(ans_set['pitch_parallel'], pitch_parallel, atol=1e-16) assert_close(ans_set['pitch_normal'], pitch_normal, atol=1e-16) with pytest.raises(Exception): pitch_angle_solver(30) def test_AirCooledExchanger(): # Full solution, exchanger in Serth AC = AirCooledExchanger(tube_rows=1, tube_passes=1, tubes_per_row=56, tube_length=10.9728, tube_diameter=1*inch, fin_thickness=0.013*inch, fin_density=10/inch, angle=30, pitch=2.5*inch, fin_height=0.625*inch, tube_thickness=0.00338) assert_close(AC.A_fin_per_tube, 18.041542744557212) # Minimal solution AC = AirCooledExchanger(tube_rows=1, tube_passes=1, tubes_per_row=56, tube_length=10.9728, tube_diameter=1*inch, fin_thickness=0.013*inch, fin_density=10/inch, angle=30, pitch=2.5*inch, fin_height=0.625*inch) with pytest.raises(Exception): AirCooledExchanger(tube_rows=1, tube_passes=1, tubes_per_row=56, tube_length=10.9728, tube_diameter=1*inch, fin_thickness=0.013*inch, fin_density=10/inch, angle=30, pitch=2.5*inch) # test AC with geometry whose minimum area is lower on the diagonal plane AC = AirCooledExchanger(tube_rows=1, tube_passes=1, tubes_per_row=56, tube_length=10.9728, tube_diameter=1*inch, fin_thickness=0.013*inch, fin_density=10/inch, angle=60, pitch=2.2*inch, fin_height=0.625*inch, tube_thickness=0.00338) assert_close(AC.A_diagonal_per_bundle, AC.A_min_per_bundle) def test_AirCooledExchangerFull(): AC = AirCooledExchanger(tube_rows=4, tube_passes=4, tubes_per_row=56, tube_length=10.9728, tube_diameter=1*inch, fin_thickness=0.013*inch, fin_density=10/inch, angle=30, pitch=2.5*inch, fin_height=0.625*inch, tube_thickness=0.00338, bundles_per_bay=2, parallel_bays=3) assert_close(AC.bare_length, 0.0022097999999999996) assert AC.tubes_per_bundle == 224 assert AC.tubes_per_bay == 224*2 assert AC.tubes == 224*2*3 assert_close(AC.pitch_diagonal, 0.057238126497990836) assert_close(AC.A_bare_tube_per_tube, 0.875590523880476) assert_close(AC.A_bare_tube_per_row, AC.A_bare_tube_per_tube*AC.tubes_per_row) assert_close(AC.A_bare_tube_per_bundle, AC.A_bare_tube_per_tube*AC.tubes_per_bundle) assert_close(AC.A_bare_tube_per_bay, AC.A_bare_tube_per_tube*AC.tubes_per_bay) assert_close(AC.A_bare_tube, AC.A_bare_tube_per_tube*AC.tubes) assert_close(AC.A_tube_showing_per_tube, 0.7617637557760141) assert_close(AC.A_tube_showing_per_row, AC.A_tube_showing_per_tube*AC.tubes_per_row) assert_close(AC.A_tube_showing_per_bundle, AC.A_tube_showing_per_tube*AC.tubes_per_bundle) assert_close(AC.A_tube_showing_per_bay, AC.A_tube_showing_per_tube*AC.tubes_per_bay) assert_close(AC.A_tube_showing, AC.A_tube_showing_per_tube*AC.tubes) assert_close(AC.A_per_fin, 0.0041762830427215765) assert_close(AC.A_fin_per_tube, 18.041542744557212) assert_close(AC.A_fin_per_row, AC.A_fin_per_tube*AC.tubes_per_row) assert_close(AC.A_fin_per_bundle, AC.A_fin_per_tube*AC.tubes_per_bundle) assert_close(AC.A_fin_per_bay, AC.A_fin_per_tube*AC.tubes_per_bay) assert_close(AC.A_fin, AC.A_fin_per_tube*AC.tubes) assert_close(AC.A_per_tube, 18.803306500333225) assert_close(AC.A_per_row, AC.A_per_tube*AC.tubes_per_row) assert_close(AC.A_per_bundle, AC.A_per_tube*AC.tubes_per_bundle) assert_close(AC.A_per_bay, AC.A_per_tube*AC.tubes_per_bay) assert_close(AC.A, AC.A_per_tube*AC.tubes) assert_close(AC.A_increase, 21.47500000000001) assert_close(AC.A_diagonal_per_bundle, 34.05507419296123) assert_close(AC.A_normal_per_bundle, 1.365674687999997) assert_close(AC.A_normal_per_bundle, AC.A_normal_per_bundle) assert_close(AC.A_min_per_bay, AC.A_min_per_bundle*AC.bundles_per_bay) assert_close(AC.A_min, AC.A_min_per_bay*AC.parallel_bays) assert_close(AC.A_face_per_bundle, 19.858025) assert_close(AC.A_face_per_bay, AC.A_face_per_bundle*AC.bundles_per_bay) assert_close(AC.A_face, AC.A_face_per_bay*AC.parallel_bays) assert_close(AC.flow_area_contraction_ratio, 0.06877192982456128) assert_close(AC.Di, 0.018639999999999997) assert_close(AC.A_tube_flow, 0.00027288627771317794) assert_close(AC.tube_volume_per_tube, 0.0029943265480911587) assert_close(AC.tube_volume_per_row, AC.tube_volume_per_tube*AC.tubes_per_row) assert_close(AC.tube_volume_per_bundle, AC.tube_volume_per_tube*AC.tubes_per_bundle) assert_close(AC.tube_volume, AC.tube_volume_per_tube*AC.tubes) assert AC.channels == 56 assert AC.pitch_str == 'triangular' assert AC.pitch_class == 'staggered' # test with corbels AC = AirCooledExchanger(tube_rows=4, tube_passes=4, tubes_per_row=56, tube_length=10.9728, tube_diameter=1*inch, fin_thickness=0.013*inch, fin_density=10/inch, angle=30, pitch=2.5*inch, fin_height=0.625*inch, tube_thickness=0.00338, bundles_per_bay=2, parallel_bays=3, corbels=True) assert_close(AC.A_face_per_bundle, 19.683831599999998) def test_geometry_tank(): V1 = TANK(D=1.2, L=4, horizontal=False).V_total assert_close(V1, 4.523893421169302) V2 = TANK(D=1.2, L=4, horizontal=False).V_from_h(.5) assert_close(V2, 0.5654866776461628) V3 = TANK(D=1.2, L=4, horizontal=False).h_from_V(.5) assert_close(V3, 0.44209706414415373) T1 = TANK(V=10, L_over_D=0.7, sideB='conical', sideB_a=0.5) # T1.set_table(dx=0.001) things_calc = T1.A, T1.A_sideA, T1.A_sideB, T1.A_lateral things = (24.94775907657148, 5.118555935958284, 5.497246519930003, 14.331956620683194) assert_close1d(things_calc, things) L1 = TANK(D=10., horizontal=True, sideA='conical', sideB='conical', V=500).L D1 = TANK(L=4.69953105701, horizontal=True, sideA='conical', sideB='conical', V=500).D L2 = TANK(L_over_D=0.469953105701, horizontal=True, sideA='conical', sideB='conical', V=500).L assert_close1d([L1, D1, L2], [4.699531057009146, 9.999999999999407, 4.69953105700979]) L1 = TANK(D=10., horizontal=False, sideA='conical', sideB='conical', V=500).L D1 = TANK(L=4.69953105701, horizontal=False, sideA='conical', sideB='conical', V=500).D L2 = TANK(L_over_D=0.469953105701, horizontal=False, sideA='conical', sideB='conical', V=500).L assert_close1d([L1, D1, L2], [4.699531057009146, 9.999999999999407, 4.69953105700979]) # Test L_over_D setting simple cases L1 = TANK(D=1.2, L_over_D=3.5, horizontal=False).L D1 = TANK(L=1.2, L_over_D=3.5, horizontal=False).D assert_close1d([L1, D1], [4.2, 0.342857142857]) # Test toripsherical a calculation V = TANK(L=1.2, L_over_D=3.5, sideA='torispherical', sideB='torispherical', sideA_f=1., sideA_k=0.06, sideB_f=1., sideB_k=0.06).V_total assert_close(V, 0.117318265914) # Test default a_ratio assert_close(0.25, TANK(V=10, L=10, sideA='conical', sideA_a_ratio=None).sideA_a_ratio) with pytest.raises(Exception): # Test overdefinition case TANK(V=10, L=10, D=10) with pytest.raises(Exception): # Test sides specified with V solving TANK(V=10, L=10, sideA='conical', sideB_a=0.5) # Couple points that needed some polishing base = TANK(D=10., horizontal=True, sideA_a_ratio=.25, sideB_f=1., sideB_k=0.06, sideA='conical', sideB='torispherical', V=500) forward = TANK(D=10.0, horizontal=True, sideA_a_ratio=.25, sideB_f=1., sideB_k=0.06, sideA='conical', sideB='torispherical', L=base.L) assert_close(base.V, forward.V_total, rtol=1e-11) base = TANK(D=10., horizontal=True, sideB_a_ratio=.25, sideA_f=1., sideA_k=0.06, sideB='conical', sideA='torispherical', V=500) forward = TANK(D=10.0, horizontal=True, sideB_a_ratio=.25, sideA_f=1., sideA_k=0.06, sideB='conical', sideA='torispherical', L=base.L) assert_close(base.V, forward.V_total, rtol=1e-11) # Same tank keyword T1 = TANK(V=10, L_over_D=0.7, sideB='conical', sideB_a=0.5, sideA='same') assert T1.sideB == T1.sideA assert T1.sideB_a == T1.sideA_a assert T1.sideB_f == T1.sideA_f assert T1.sideB_k == T1.sideB_k assert T1.sideB_a_ratio == T1.sideA_a_ratio T1 = TANK(D=10.0, horizontal=True, sideA_f=1., sideA_k=0.06, sideA='torispherical', L=3, sideB='same') assert T1.sideB == T1.sideA assert T1.sideB_a == T1.sideA_a assert T1.sideB_f == T1.sideA_f assert T1.sideB_k == T1.sideB_k assert T1.sideB_a_ratio == T1.sideA_a_ratio T1 = TANK(D=10.0, horizontal=True, sideB_f=1., sideB_k=0.06, sideB='torispherical', L=3, sideA='same') assert T1.sideB == T1.sideA assert T1.sideB_a == T1.sideA_a assert T1.sideB_f == T1.sideA_f assert T1.sideB_k == T1.sideB_k assert T1.sideB_a_ratio == T1.sideA_a_ratio # No spec at all T1 = TANK(D=10.0, horizontal=True, L=3, sideA='same') assert T1.sideB == T1.sideA assert T1.sideB_a == T1.sideA_a assert T1.sideB_f == T1.sideA_f assert T1.sideB_k == T1.sideB_k assert T1.sideB_a_ratio == T1.sideA_a_ratio assert T1.sideB_a == 0 with pytest.raises(Exception): T1 = TANK(D=10.0, horizontal=True, L=3, sideA='same', sideB='same') # Default k, f T1 = TANK(D=10.0, horizontal=True, L=3, sideA='torispherical', sideB='torispherical') assert T1.sideB == T1.sideA assert T1.sideB_a == T1.sideA_a assert T1.sideB_f == T1.sideA_f assert T1.sideB_k == T1.sideB_k assert T1.sideB_a_ratio == T1.sideA_a_ratio assert T1.sideB_k == 0.06 assert T1.sideB_f == 1.0 def test_TANK_issues(): # GH issue 31 Tk = TANK(L=3, D=5, horizontal=False, sideA='torispherical', sideA_f=1, sideA_k=0.1, sideB='torispherical', sideB_f=1, sideB_k=0.1) #DIN28011 assert_close(Tk.V_total, Tk.V_from_h(Tk.h_max*.9999999999), rtol=1e-12) # Issue where checking sideA_a was for truthiness and not not None kwargs = {'L': 2.0, 'horizontal': False, 'L_over_D': None, 'V': None, 'sideA': 'ellipsoidal', 'sideB': 'ellipsoidal', 'sideA_a': 0.0, 'sideB_a': 1e-06, 'sideA_a_ratio': None, 'sideB_a_ratio': None, 'sideA_f': None, 'sideA_k': None, 'sideB_f': None, 'sideB_k': None} assert_close(TANK(D=.5, **kwargs).V_total, 0.39269921259841806, rtol=1e-11) # case that failed once kwargs = {'D': 0.5, 'L': 2.0, 'horizontal': False, 'L_over_D': None, 'V': None, 'sideA': 'ellipsoidal', 'sideB': 'ellipsoidal', 'sideA_a': 0.0, 'sideB_a': 0.0, 'sideA_a_ratio': None, 'sideB_a_ratio': None, 'sideA_f': None, 'sideA_k': None, 'sideB_f': None, 'sideB_k': None} TANK(**kwargs) def assert_TANKs_equal(T1, T2): for k, v in T1.__dict__.items(): if isinstance(v, (float, int)): assert_close(v, T2.__dict__[k]) else: assert v == T2.__dict__[k] def test_add_thickness(): t = 1e-4 T1 = TANK(L=3, D=.6, sideA='ellipsoidal', sideA_a = .2, sideB='conical', sideB_a=0.5) T1 = T1.add_thickness(t) T2 = TANK(L=3+2*t, D=.6+2*t, sideA='ellipsoidal', sideA_a = .2+t, sideB='conical', sideB_a=0.5+t) assert_TANKs_equal(T1, T2) # Also add a test that there are no default values for `k` and `f` when the tank is not torispherical # and the `a` ratios are correctly calculated not default values for T in (T1, T2): assert T.sideA_f is None assert T.sideA_k is None assert T.sideB_f is None assert T.sideB_k is None assert_close(T.sideA_a_ratio, 0.3333888703765412) assert_close(T.sideB_a_ratio, 0.8332222592469177) t = .1 T1 = TANK(L=3, D=.6, sideA='spherical', sideA_a = .2, sideB='guppy', sideB_a=0.5) T1 = T1.add_thickness(t) T2 = TANK(L=3+2*t, D=.6+2*t, sideA='spherical', sideA_a = .2+t, sideB='guppy', sideB_a=0.5+t) assert_TANKs_equal(T1, T2) for T in (T1, T2): assert T.sideA_f is None assert T.sideA_k is None assert T.sideB_f is None assert T.sideB_k is None assert_close(T.sideA_a_ratio, 0.375) assert_close(T.sideB_a_ratio, .75) # Torispherical as well t = .15311351231 T1 = TANK(L=3, D=.6, sideA='torispherical', sideB='torispherical', sideA_f=0.9, sideA_k=0.17) T1 = T1.add_thickness(t) T2 = TANK(L=3+2*t, D=.6+2*t, sideA='torispherical', sideA_f=0.9, sideA_k=0.17, sideB='torispherical') assert_TANKs_equal(T1, T2) @pytest.mark.slow def test_geometry_tank_chebyshev(): # Test auto set Chebyshev table T = TANK(L=1.2, L_over_D=3.5) assert_close(T.h_from_V(T.V_total, 'chebyshev'), T.h_max) assert_close(T.h_from_V(.1, 'chebyshev'), 0.2901805880470152, rtol=1e-4) assert_close(T.h_from_V(.05, 'chebyshev'), 0.15830377515496144, rtol=1e-4) assert_close(T.h_from_V(.02, 'chebyshev'), 0.08101343184833742, rtol=1e-4) T = TANK(L=1.2, L_over_D=3.5) assert_close(T.V_from_h(T.h_max, 'chebyshev'), T.V_total) @pytest.mark.slow def test_geometry_tank_fuzz_h_from_V(): T = TANK(L=1.2, L_over_D=3.5, sideA='torispherical', sideB='torispherical', sideA_f=1., horizontal=True, sideA_k=0.06, sideB_f=1., sideB_k=0.06) T.set_chebyshev_approximators(deg_forward=100, deg_backwards=600) # test V_from_h - pretty easy to get right for h in linspace(0, T.h_max, 30): # It's the top and the bottom of the tank that works poorly V1 = T.V_from_h(h, 'full') V2 = T.V_from_h(h, 'chebyshev') assert_close(V1, V2, rtol=1E-7, atol=1E-7) with pytest.raises(Exception): T.V_from_h(1E-5, 'NOTAMETHOD') # reverse - the spline is also pretty easy, with a limited number of points # when the required precision is low T.set_table(n=150) for V in linspace(0, T.V_total, 30): h1 = T.h_from_V(V, 'brenth') h2 = T.h_from_V(V, 'spline') assert_close(h1, h2, rtol=1E-5, atol=1E-6) h3 = T.h_from_V(V, 'chebyshev') # Even with a 600-degree polynomial, there will be failures if N # is high enough, but the tolerance should just be lowered assert_close(h1, h3, rtol=1E-7, atol=1E-7) with pytest.raises(Exception): T.h_from_V(1E-5, 'NOTAMETHOD') def test_basic(): psi = sphericity(10., 2.) assert_close(psi, 0.767663317071005) a_r = aspect_ratio(.2, 2.) assert_close(a_r, 0.1) f_circ = circularity(1.5, .1) assert_close(f_circ, 1884.9555921538756) A = A_cylinder(0.01, .1) assert_close(A, 0.0032986722862692833) V = V_cylinder(0.01, .1) assert_close(V, 7.853981633974484e-06) A = A_hollow_cylinder(0.005, 0.01, 0.1) assert_close(A, 0.004830198704894308) V = V_hollow_cylinder(0.005, 0.01, 0.1) assert_close(V, 5.890486225480862e-06) A = A_multiple_hole_cylinder(0.01, 0.1, [(0.005, 1)]) assert_close(A, 0.004830198704894308) V = V_multiple_hole_cylinder(0.01, 0.1, [(0.005, 1)]) assert_close(V, 5.890486225480862e-06) def test_HelicalCoil(): for kwargs in [{'Do': 30, 'H': 20, 'pitch': 5, 'Dt':2}, {'Do': 30, 'N': 4, 'pitch': 5, 'Dt':2}, {'Do': 30, 'N': 4, 'H': 20, 'Dt':2}, {'Do_total': 32, 'N': 4, 'H': 20, 'Dt':2}, {'Do_total': 32, 'N': 4, 'H_total': 22, 'Dt':2}]: a = HelicalCoil(Di=1.8, **kwargs) assert_close(a.N, 4) assert_close(a.H, 20) assert_close(a.H_total, 22) assert_close(a.Do_total, 32) assert_close(a.pitch, 5) assert_close(a.tube_length, 377.5212621504738) assert_close(a.surface_area, 2372.0360474917497) # Other parameters assert_close(a.curvature, 0.06) assert_close(a.helix_angle, 0.053001960689651316) assert_close(a.tube_circumference, 94.24777960769379) assert_close(a.total_inlet_area, 3.141592653589793) assert_close(a.total_volume, 1186.0180237458749) # with Di specified assert_close(a.Di, 1.8) assert_close(a.inner_surface_area, 2134.832442742575) assert_close(a.inlet_area, 2.5446900494077327) assert_close(a.inner_volume, 960.6745992341587) assert_close(a.annulus_area, 0.5969026041820604) assert_close(a.annulus_volume, 225.3434245117162) # Fusion 360 agrees with the tube length. # It says the SA should be 2370.3726964956063057 # Hopefully its own calculation is flawed # Test successfully creating a helix with HelicalCoil(Di=1.8, Do=30, H=20, pitch=2, Dt=2) with pytest.raises(Exception): HelicalCoil(Di=1.8, Do=30, H=20, pitch=1.999, Dt=2) with pytest.raises(Exception): HelicalCoil(Di=1.8, Do=30, H=20, N=10.0001, Dt=2) # Test Dt < Do HelicalCoil(Do=10, H=30, N=2, Dt=10) with pytest.raises(Exception): HelicalCoil(Do=10, H=30, N=2, Dt=10.00000001) with pytest.raises(Exception): HelicalCoil(Do_total=20-1E-9, H=30, N=3., Dt=10.000) def test_PlateExchanger(): ex = PlateExchanger(amplitude=5E-4, wavelength=3.7E-3, length=1.2, width=.3, d_port=.05, plates=51) assert ex.plate_exchanger_identifier == 'L3.7A0.5B45-45' assert_close(ex.amplitude, 0.0005) assert_close(ex.a, 0.0005) assert_close(ex.b, 0.001) assert_close(ex.wavelength, 3.7E-3) assert_close(ex.pitch, 3.7E-3) assert ex.chevron_angle == 45 assert ex.chevron_angles == (45, 45) assert ex.inclination_angle == 45 assert_close(ex.plate_corrugation_aspect_ratio, 0.5405405405405406) assert_close(ex.gamma, 0.5405405405405406) assert_close(ex.plate_enlargement_factor, 1.1611862034509677) assert_close(ex.D_eq, 0.002) assert_close(ex.D_hydraulic, 0.0017223766473078426) assert_close(ex.length_port, 1.25) assert_close(ex.A_plate_surface, 0.41802703324234836) assert_close(ex.A_heat_transfer, 20.483324628875071) assert_close(ex.A_channel_flow, 0.0003) assert ex.channels == 50 assert ex.channels_per_fluid == 25 ex = PlateExchanger(amplitude=5E-4, wavelength=3.7E-3, length=1.2, width=.3, d_port=.05, plates=51, chevron_angles=(30, 60)) assert ex.chevron_angle == 45 assert ex.chevron_angles == (30, 60) ex = PlateExchanger(amplitude=5E-4, wavelength=3.7E-3) def plate_enlargement_factor_numerical(amplitude, wavelength): from scipy.integrate import quad lambda1 = wavelength b = amplitude gamma = 4*b/lambda1 def to_int(s): return (1 + (gamma*pi/2)**2*cos(2*pi/lambda1*s)**2)**0.5 main = quad(to_int, 0, lambda1)[0] return main/lambda1 def test_plate_enhancement_factor(): def plate_enlargement_factor_approx(amplitude, wavelength): # Approximate formula lambda1 = wavelength b = amplitude A = 2*pi*b/lambda1 return 1/6.*(1 + (1 + A**2)**0.5 + 4*(1 + 0.5*A**2)**0.5) # 1.218 in VDI example phi = plate_enlargement_factor_approx(amplitude=0.002, wavelength=0.0126) assert_close(phi, 1.217825410973735) assert_close(phi, 1.218, rtol=1E-3) phi = plate_enlargement_factor_numerical(amplitude=0.002, wavelength=0.0126) assert_close(phi, 1.2149896289702244) @pytest.mark.fuzz @pytest.mark.slow def test_plate_enhancement_factor_fuzz(): # Confirm it's correct to within 1E-7 for x in linspace(1E-5, 100, 3): for y in linspace(1E-5, 100, 3): a = plate_enlargement_factor(x, y) b = plate_enlargement_factor_numerical(x, y) assert_close(a, b, rtol=1E-7) def test_RectangularFinExchanger(): PFE = RectangularFinExchanger(0.03, 0.001, 0.012) assert_close(PFE.fin_height, 0.03) assert_close(PFE.fin_thickness, 0.001) assert_close(PFE.fin_spacing, 0.012) # calculated values assert_close(PFE.channel_height, 0.029) assert_close(PFE.blockage_ratio, 0.8861111111111111) assert_close(PFE.fin_count, 83.33333333333333) assert_close(PFE.Dh, 0.01595) assert_close(PFE.channel_width, 0.011) # with layers, plate thickness, width, and length (fully defined) PFE = RectangularFinExchanger(0.03, 0.001, 0.012, length=1.2, width=2.401, plate_thickness=.005, layers=40) assert_close(PFE.A_HX_layer, 19.2) assert_close(PFE.layer_fin_count, 200) assert_close(PFE.A_HX, 768.0) assert_close(PFE.height, 1.4+.005) assert_close(PFE.volume, 4.048085999999999) assert_close(PFE.A_specific_HX, 189.71928956054794) def test_RectangularOffsetStripFinExchanger(): ROSFE = RectangularOffsetStripFinExchanger(fin_length=.05, fin_height=.01, fin_thickness=.003, fin_spacing=.05) assert_close(ROSFE.fin_length, 0.05) assert_close(ROSFE.fin_height, 0.01) assert_close(ROSFE.fin_thickness, 0.003) assert_close(ROSFE.fin_spacing, 0.05) assert_close(ROSFE.blockage_ratio, 0.348) assert_close(ROSFE.blockage_ratio_Kim, 0.34199999999999997) assert_close(ROSFE.alpha, 5) assert_close(ROSFE.delta, 0.06) assert_close(ROSFE.gamma, 0.06) assert_close(ROSFE.A_channel, 0.000329) # assert_close(ROSFE.SA_fin, 0.005574) assert_close(ROSFE.Dh, 0.011804808037316112) assert_close(ROSFE.Dh_Kays_London, 0.012185185185185186) assert_close(ROSFE.Dh_Joshi_Webb, 0.011319367879456085) # With layers, plate thickness, width (fully defined) # ROSFE = RectangularOffsetStripFinExchanger(fin_length=.05, fin_height=.01, fin_thickness=.003, fin_spacing=.05, length=1.2, width=2.401, plate_thickness=.005, layers=40) # assert_close(ROSFE.A_HX_layer, 0.267552) def test_HyperbolicCoolingTower(): pass def test_circle_segment_h_from_A(): from fluids.geometry import circle_segment_area_inner assert_close(circle_segment_h_from_A(1.3, 4.5), 0.6128105860337293, rtol=1e-13) assert_close(circle_segment_h_from_A(D=20, A=137.113), 8.99999918630794, rtol=1e-13) # Point at low area assert_close(circle_segment_h_from_A(D=20, A=.006), 0.010042502885593678, rtol=1e-12) assert_close(circle_segment_h_from_A(D=20, A=1e-20), 4.443057211031748e-08, rtol=1e-12) # Special cases assert circle_segment_h_from_A(0.0, 4.5) == 0.0 assert_close(circle_segment_h_from_A(pi/4*4.5**2/2, 4.5), 2.25, rtol=1e-13) fluids-1.0.22/tests/test_compressible.py0000644000175000017500000003110214302004506017641 0ustar nileshnilesh# -*- coding: utf-8 -*- '''Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2016, 2017 Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.''' from fluids.compressible import * from fluids.constants import * from fluids.core import F2K from fluids.numerics import assert_close, assert_close1d import pytest from math import log, pi def test_isothermal_work_compression(): assert_close(isothermal_work_compression(1E5, 1E6, 300.0), 5743.425357533477, rtol=1e-05) def test_isentropic_work_compression(): dH = isentropic_work_compression(P1=1E5, P2=1E6, T1=300.0, k=1.4, eta=1) assert_close(dH, 8125.161295388634, rtol=1e-05) dH = isentropic_work_compression(P1=1E5, P2=1E6, T1=300, k=1.4, eta=0.78) assert_close(dH, 10416.873455626454, rtol=1e-05) dH = isentropic_work_compression(P1=1E5, P2=1E6, T1=300, k=1.4, eta=0.78, Z=0.9) assert_close(dH, 9375.186110063809, rtol=1e-05) # Other solutions - P1, P2, and eta P1 = isentropic_work_compression(W=9375.186110063809, P2=1E6, T1=300., k=1.4, eta=0.78, Z=0.9) assert_close(P1, 1E5, rtol=1E-5) P2 = isentropic_work_compression(W=9375.186110063809, P1=1E5, T1=300., k=1.4, eta=0.78, Z=0.9) assert_close(P2, 1E6, rtol=1E-5) eta = isentropic_work_compression(W=9375.186110063809, P1=1E5, P2=1E6, T1=300, k=1.4, Z=0.9, eta=None) assert_close(eta, 0.78, rtol=1E-5) with pytest.raises(Exception): isentropic_work_compression(P1=1E5, P2=1E6, k=1.4, T1=None) def test_isentropic_T_rise_compression(): T2 = isentropic_T_rise_compression(286.8, 54050.0, 432400., 1.4) assert_close(T2, 519.5230938217768, rtol=1e-05) T2 = isentropic_T_rise_compression(286.8, 54050, 432400, 1.4, eta=0.78) assert_close(T2, 585.1629407971498, rtol=1e-05) # Test against the simpler formula for eta=1: # T2 = T2*(P2/P1)^((k-1)/k) T2_ideal = 286.8*((432400/54050)**((1.4-1)/1.4)) assert_close(T2_ideal, 519.5230938217768, rtol=1e-05) def test_isentropic_efficiency(): eta_s = isentropic_efficiency(1E5, 1E6, 1.4, eta_p=0.78) assert_close(eta_s, 0.7027614191263858) eta_p = isentropic_efficiency(1E5, 1E6, 1.4, eta_s=0.7027614191263858) assert_close(eta_p, 0.78) with pytest.raises(Exception): isentropic_efficiency(1E5, 1E6, 1.4) # Example 7.6 of the reference: eta_s = isentropic_efficiency(1E5, 3E5, 1.4, eta_p=0.75) assert_close(eta_s, 0.7095085923615653) eta_p = isentropic_efficiency(1E5, 3E5, 1.4, eta_s=eta_s) assert_close(eta_p, 0.75) def test_polytropic_exponent(): assert_close(polytropic_exponent(1.4, eta_p=0.78), 1.5780346820809246) assert_close(polytropic_exponent(1.4, n=1.5780346820809246), 0.78) with pytest.raises(Exception): polytropic_exponent(1.4) def test_compressible(): T = T_critical_flow(473., 1.289) assert_close(T, 413.2809086937528) P = P_critical_flow(1400000., 1.289) assert_close(P, 766812.9022792266) assert not is_critical_flow(670E3, 532E3, 1.11) assert is_critical_flow(670E3, 101E3, 1.11) SE = stagnation_energy(125.) assert_close(SE, 7812.5) PST = P_stagnation(54050., 255.7, 286.8, 1.4) assert_close(PST, 80772.80495900588) Tst = T_stagnation(286.8, 54050., 54050*8., 1.4) assert_close(Tst, 519.5230938217768) Tstid = T_stagnation_ideal(255.7, 250., 1005.) assert_close(Tstid, 286.79452736318405) def test_Panhandle_A(): # Example 7-18 Gas of Crane TP 410M D = 0.340 P1 = 90E5 P2 = 20E5 L = 160E3 SG=0.693 Tavg = 277.15 Q = 42.56082051195928 # Test all combinations of relevant missing inputs assert_close(Panhandle_A(D=D, P1=P1, P2=P2, L=L, SG=SG, Tavg=Tavg), Q) assert_close(Panhandle_A(D=D, Q=Q, P2=P2, L=L, SG=SG, Tavg=Tavg), P1) assert_close(Panhandle_A(D=D, Q=Q, P1=P1, L=L, SG=SG, Tavg=Tavg), P2) assert_close(Panhandle_A(D=D, Q=Q, P1=P1, P2=P2, SG=SG, Tavg=Tavg), L) assert_close(Panhandle_A(L=L, Q=Q, P1=P1, P2=P2, SG=SG, Tavg=Tavg), D) with pytest.raises(Exception): Panhandle_A(D=0.340, P1=90E5, L=160E3, SG=0.693, Tavg=277.15) # Sample problem from "Natural Gas Pipeline Flow Calculations" by "Harlan H. Bengtson" Q_panhandle = Panhandle_A(SG=0.65, Tavg=F2K(80), Ts=F2K(60), Ps=14.7*psi, L=500*foot, D=12*inch, P1=510*psi, P2=490*psi, Zavg=0.919, E=0.92) mmscfd = Q_panhandle*day/foot**3/1e6 assert_close(mmscfd, 401.3019451856126, rtol=1e-12) def test_Panhandle_B(): # Example 7-18 Gas of Crane TP 410M D = 0.340 P1 = 90E5 P2 = 20E5 L = 160E3 SG=0.693 Tavg = 277.15 Q = 42.35366178004172 # Test all combinations of relevant missing inputs assert_close(Panhandle_B(D=D, P1=P1, P2=P2, L=L, SG=SG, Tavg=Tavg), Q) assert_close(Panhandle_B(D=D, Q=Q, P2=P2, L=L, SG=SG, Tavg=Tavg), P1) assert_close(Panhandle_B(D=D, Q=Q, P1=P1, L=L, SG=SG, Tavg=Tavg), P2) assert_close(Panhandle_B(D=D, Q=Q, P1=P1, P2=P2, SG=SG, Tavg=Tavg), L) assert_close(Panhandle_B(L=L, Q=Q, P1=P1, P2=P2, SG=SG, Tavg=Tavg), D) with pytest.raises(Exception): Panhandle_B(D=0.340, P1=90E5, L=160E3, SG=0.693, Tavg=277.15) def test_Weymouth(): D = 0.340 P1 = 90E5 P2 = 20E5 L = 160E3 SG=0.693 Tavg = 277.15 Q = 32.07729055913029 assert_close(Weymouth(D=D, P1=P1, P2=P2, L=L, SG=SG, Tavg=Tavg), Q) assert_close(Weymouth(D=D, Q=Q, P2=P2, L=L, SG=SG, Tavg=Tavg), P1) assert_close(Weymouth(D=D, Q=Q, P1=P1, L=L, SG=SG, Tavg=Tavg), P2) assert_close(Weymouth(D=D, Q=Q, P1=P1, P2=P2, SG=SG, Tavg=Tavg), L) assert_close(Weymouth(L=L, Q=Q, P1=P1, P2=P2, SG=SG, Tavg=Tavg), D) with pytest.raises(Exception): Weymouth(D=0.340, P1=90E5, L=160E3, SG=0.693, Tavg=277.15) Q_Weymouth = Weymouth(SG=0.65, Tavg=F2K(80), Ts=F2K(60), Ps=14.7*psi, L=500*foot, D=12*inch, P1=510*psi, P2=490*psi, Zavg=0.919, E=0.92) mmscfd = Q_Weymouth*day/foot**3/1e6 assert_close(mmscfd, 272.5879686092862, rtol=1e-12) def test_Spitzglass_high(): D = 0.340 P1 = 90E5 P2 = 20E5 L = 160E3 SG=0.693 Tavg = 277.15 Q = 29.42670246281681 assert_close(Spitzglass_high(D=D, P1=P1, P2=P2, L=L, SG=SG, Tavg=Tavg), Q) assert_close(Spitzglass_high(D=D, Q=Q, P2=P2, L=L, SG=SG, Tavg=Tavg), P1) assert_close(Spitzglass_high(D=D, Q=Q, P1=P1, L=L, SG=SG, Tavg=Tavg), P2) assert_close(Spitzglass_high(D=D, Q=Q, P1=P1, P2=P2, SG=SG, Tavg=Tavg), L) assert_close(Spitzglass_high(L=L, Q=Q, P1=P1, P2=P2, SG=SG, Tavg=Tavg), D) with pytest.raises(Exception): Spitzglass_high(D=0.340, P1=90E5, L=160E3, SG=0.693, Tavg=277.15) def test_Spitzglass_low(): D = 0.154051 P1 = 6720.3199 P2 = 0.0 L = 54.864 SG = 0.6 Tavg = 288.7 Q = 0.9488775242530617 assert_close(Spitzglass_low(D=D, P1=P1, P2=P2, L=L, SG=SG, Tavg=Tavg), Q) assert_close(Spitzglass_low(D=D, Q=Q, P2=P2, L=L, SG=SG, Tavg=Tavg), P1) assert_close(Spitzglass_low(D=D, Q=Q, P1=P1, L=L, SG=SG, Tavg=Tavg), P2, atol=1E-10) assert_close(Spitzglass_low(D=D, Q=Q, P1=P1, P2=P2, SG=SG, Tavg=Tavg), L) assert_close(Spitzglass_low(L=L, Q=Q, P1=P1, P2=P2, SG=SG, Tavg=Tavg), D) with pytest.raises(Exception): Spitzglass_low(D=0.340, P1=90E5, L=160E3, SG=0.693, Tavg=277.15) def test_Oliphant(): D = 0.340 P1 = 90E5 P2 = 20E5 L = 160E3 SG=0.693 Tavg = 277.15 Q = 28.851535408143057 assert_close(Oliphant(D=D, P1=P1, P2=P2, L=L, SG=SG, Tavg=Tavg), Q) assert_close(Oliphant(D=D, Q=Q, P2=P2, L=L, SG=SG, Tavg=Tavg), P1) assert_close(Oliphant(D=D, Q=Q, P1=P1, L=L, SG=SG, Tavg=Tavg), P2) assert_close(Oliphant(D=D, Q=Q, P1=P1, P2=P2, SG=SG, Tavg=Tavg), L) assert_close(Oliphant(L=L, Q=Q, P1=P1, P2=P2, SG=SG, Tavg=Tavg), D) with pytest.raises(Exception): Oliphant(D=0.340, P1=90E5, L=160E3, SG=0.693, Tavg=277.15) def test_Fritzsche(): D = 0.340 P1 = 90E5 P2 = 20E5 L = 160E3 SG=0.693 Tavg = 277.15 Q = 39.421535157535565 assert_close(Fritzsche(D=D, P1=P1, P2=P2, L=L, SG=SG, Tavg=Tavg), Q) assert_close(Fritzsche(D=D, Q=Q, P2=P2, L=L, SG=SG, Tavg=Tavg), P1) assert_close(Fritzsche(D=D, Q=Q, P1=P1, L=L, SG=SG, Tavg=Tavg), P2) assert_close(Fritzsche(D=D, Q=Q, P1=P1, P2=P2, SG=SG, Tavg=Tavg), L) assert_close(Fritzsche(L=L, Q=Q, P1=P1, P2=P2, SG=SG, Tavg=Tavg), D) with pytest.raises(Exception): Fritzsche(D=0.340, P1=90E5, L=160E3, SG=0.693, Tavg=277.15) def test_Muller(): D = 0.340 mu = 1E-5 P1 = 90E5 P2 = 20E5 L = 160E3 SG=0.693 Tavg = 277.15 Q = 60.45796698148663 assert_close(Muller(D=D, P1=P1, P2=P2, L=L, SG=SG, mu=mu, Tavg=Tavg), Q) assert_close(Muller(D=D, Q=Q, P2=P2, L=L, SG=SG, mu=mu, Tavg=Tavg), P1) assert_close(Muller(D=D, Q=Q, P1=P1, L=L, SG=SG, mu=mu, Tavg=Tavg), P2) assert_close(Muller(D=D, Q=Q, P1=P1, P2=P2, SG=SG, mu=mu, Tavg=Tavg), L) assert_close(Muller(L=L, Q=Q, P1=P1, P2=P2, SG=SG, mu=mu, Tavg=Tavg), D) with pytest.raises(Exception): Muller(D=D, P2=P2, L=L, SG=SG, mu=mu, Tavg=Tavg) def test_IGT(): D = 0.340 mu = 1E-5 P1 = 90E5 P2 = 20E5 L = 160E3 SG=0.693 Tavg = 277.15 Q = 48.92351786788815 assert_close(IGT(D=D, P1=P1, P2=P2, L=L, SG=SG, mu=mu, Tavg=Tavg), Q) assert_close(IGT(D=D, Q=Q, P2=P2, L=L, SG=SG, mu=mu, Tavg=Tavg), P1) assert_close(IGT(D=D, Q=Q, P1=P1, L=L, SG=SG, mu=mu, Tavg=Tavg), P2) assert_close(IGT(D=D, Q=Q, P1=P1, P2=P2, SG=SG, mu=mu, Tavg=Tavg), L) assert_close(IGT(L=L, Q=Q, P1=P1, P2=P2, SG=SG, mu=mu, Tavg=Tavg), D) with pytest.raises(Exception): IGT(D=D, P2=P2, L=L, SG=SG, mu=mu, Tavg=Tavg) def test_isothermal_gas(): mcalc = isothermal_gas(11.3, 0.00185, P1=1E6, P2=9E5, L=1000., D=0.5) assert_close(mcalc, 145.484757264) assert_close(isothermal_gas(11.3, 0.00185, P1=1E6, P2=9E5, m=145.484757264, D=0.5), 1000) assert_close(isothermal_gas(11.3, 0.00185, P2=9E5, m=145.484757264, L=1000., D=0.5), 1E6) assert_close(isothermal_gas(11.3, 0.00185, P1=1E6, m=145.484757264, L=1000., D=0.5), 9E5) assert_close(isothermal_gas(11.3, 0.00185, P1=1E6, P2=9E5, m=145.484757264, L=1000.), 0.5) with pytest.raises(Exception): isothermal_gas(11.3, 0.00185, P1=1E6, P2=9E5, L=1000.) with pytest.raises(Exception): isothermal_gas(rho=11.3, fd=0.00185, P1=1E6, P2=1E5, L=1000., D=0.5) with pytest.raises(Exception): isothermal_gas(rho=11.3, fd=0.00185, P2=1E6, P1=9E5, L=1000., D=0.5) # Newton can't converge, need a bounded solver P1 = isothermal_gas(rho=11.3, fd=0.00185, m=390., P2=9E5, L=1000., D=0.5) assert_close(P1, 2298973.786533209) # Case where the desired flow is greater than the choked flow's rate with pytest.raises(Exception): isothermal_gas(rho=11.3, fd=0.00185, m=400, P2=9E5, L=1000., D=0.5) # test the case where the ideal gas assumption is baked in: rho = 10.75342009105268 # Chemical('nitrogen', P=(1E6+9E5)/2).rho m1 = isothermal_gas(rho=rho, fd=0.00185, P1=1E6, P2=9E5, L=1000., D=0.5) assert_close(m1, 141.92260633059334) # They are fairly similar fd = 0.00185 P1 = 1E6 P2 = 9E5 L = 1000 D = 0.5 T = 298.15 # from scipy.constants import R # from thermo import property_molar_to_mass, Chemical, pi, log R = 296.8029514446658 # property_molar_to_mass(R, Chemical('nitrogen').MW) m2 = (pi**2/16*D**4/(R*T*(fd*L/D + 2*log(P1/P2)))*(P1**2-P2**2))**0.5 assert_close(m2, 145.48786057477403) def test_P_isothermal_critical_flow(): P2_max = P_isothermal_critical_flow(P=1E6, fd=0.00185, L=1000., D=0.5) assert_close(P2_max, 389699.7317645518)fluids-1.0.22/tests/test_fittings.py0000644000175000017500000007435014302004506017015 0ustar nileshnilesh# -*- coding: utf-8 -*- '''Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2016, 2017 Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.''' from __future__ import division import os import fluids.fittings from fluids.fittings import * from math import pi, log10, log, isnan, isinf try: from random import uniform except: pass from fluids.numerics import secant from fluids.constants import * from fluids.core import Engauge_2d_parser, Reynolds from fluids.friction import ft_Crane #from fluids.optional.pychebfun import * from fluids.numerics import assert_close, assert_close1d, assert_close2d import pytest def log_uniform(low, high): return 10**uniform(log10(low), log10(high)) def test_fittings(): K = entrance_beveled_orifice(Di=0.1, do=.07, l=0.003, angle=45.0) assert_close(K, 1.2987552913818574) ### Exits assert_close(exit_normal(), 1.0) K_helix = helix(Di=0.01, rs=0.1, pitch=.03, N=10, fd=.0185) assert_close(K_helix, 14.525134924495514) K_spiral = spiral(Di=0.01, rmax=.1, rmin=.02, pitch=.01, fd=0.0185) assert_close(K_spiral, 7.950918552775473) ### Contractions K_beveled = contraction_beveled(Di1=0.5, Di2=0.1, l=.7*.1, angle=120.0) assert_close(K_beveled, 0.40946469413070485) ### Expansions (diffusers) K = diffuser_curved(Di1=.25**0.5, Di2=1., l=2.) assert_close(K, 0.2299781250000002) K = diffuser_pipe_reducer(Di1=.5, Di2=.75, l=1.5, fd1=0.07) assert_close(K, 0.06873244301714816) K = diffuser_pipe_reducer(Di1=.5, Di2=.75, l=1.5, fd1=0.07, fd2=.08) assert_close(K, 0.06952256647393829) # Misc K1 = Darby3K(NPS=2., Re=10000., name='Valve, Angle valve, 45°, full line size, β = 1') K2 = Darby3K(NPS=12., Re=10000., name='Valve, Angle valve, 45°, full line size, β = 1') K3 = Darby3K(NPS=12., Re=10000., K1=950., Ki=0.25, Kd=4.) Ks = [1.1572523963562353, 0.819510280626355, 0.819510280626355] assert_close1d([K1, K2, K3], Ks) with pytest.raises(Exception): Darby3K(NPS=12., Re=10000) with pytest.raises(Exception): Darby3K(NPS=12., Re=10000, name='fail') tot = sum([Darby3K(NPS=2., Re=1000, name=i) for i in Darby.keys()]) assert_close(tot, 67.96442287975898) K1 = Hooper2K(Di=2., Re=10000., name='Valve, Globe, Standard') K2 = Hooper2K(Di=2., Re=10000., K1=900., Kinfty=4.) assert_close1d([K1, K2], [6.15, 6.09]) tot = sum([Hooper2K(Di=2., Re=10000., name=i) for i in Hooper.keys()]) assert_close(tot, 46.18) with pytest.raises(Exception): Hooper2K(Di=2, Re=10000) with pytest.raises(Exception): Hooper2K(Di=2., Re=10000, name='fail') K2 = change_K_basis(K1=32.68875692997804, D1=.01, D2=.02) assert_close(K2, 523.0201108796487) ### Entrances def test_entrance_distance_45_Miller(): from fluids.fittings import entrance_distance_45_Miller K = entrance_distance_45_Miller(Di=0.1, Di0=0.14) assert_close(K, 0.24407641818143339) def test_entrance_distance(): K1 = entrance_distance(0.1, t=0.0005) assert_close(K1, 1.0154100000000004) assert_close(entrance_distance(Di=0.1, t=0.05), 0.57) K = entrance_distance(Di=0.1, t=0.0005, method='Miller') assert_close(K, 1.0280427936730414) K = entrance_distance(Di=0.1, t=0.0005, method='Idelchik') assert_close(K, 0.9249999999999999) K = entrance_distance(Di=0.1, t=0.0005, l=.02, method='Idelchik') assert_close(K, 0.8475000000000001) K = entrance_distance(Di=0.1, t=0.0005, method='Harris') assert_close(K, 0.8705806231290558, 3e-3) K = entrance_distance(Di=0.1, method='Crane') assert_close(K, 0.78) with pytest.raises(Exception): entrance_distance(Di=0.1, t=0.01, method='BADMETHOD') def test_entrance_rounded(): K = entrance_rounded(Di=0.1, rc=0.0235) assert_close(K, 0.09839534618360923) assert_close(entrance_rounded(Di=0.1, rc=0.2), 0.03) K = entrance_rounded(Di=0.1, rc=0.0235, method='Miller') assert_close(K, 0.057734448458542094) K = entrance_rounded(Di=0.1, rc=0.0235, method='Swamee') assert_close(K, 0.06818838227156554) K = entrance_rounded(Di=0.1, rc=0.01, method='Crane') assert_close(K, .09) K = entrance_rounded(Di=0.1, rc=0.01, method='Harris') assert_close(K, 0.04864878230217168) # Limiting condition K = entrance_rounded(Di=0.1, rc=0.0235, method='Harris') assert_close(K, 0.0) K = entrance_rounded(Di=0.1, rc=0.01, method='Idelchik') assert_close(K, 0.11328005177738182) # Limiting condition K = entrance_rounded(Di=0.1, rc=0.0235, method='Idelchik') assert_close(K, 0.03) with pytest.raises(Exception): entrance_rounded(Di=0.1, rc=0.01, method='BADMETHOD') def test_entrance_beveled(): K = entrance_beveled(Di=0.1, l=0.003, angle=45.0) assert_close(K, 0.45086864221916984) K = entrance_beveled(Di=0.1, l=0.003, angle=45.0, method='Idelchik') assert_close(K, 0.3995000000000001) def test_entrance_sharp(): assert_close(entrance_sharp(), 0.57) with pytest.raises(Exception): entrance_sharp(method='BADMETHOD') for method in ['Swamee', 'Blevins', 'Idelchik', 'Crane']: assert_close(0.5, entrance_sharp(method=method)) entrance_sharp(method='Miller') # Don't bother checking a value for the Miller method def test_entrance_angled(): K_30_Idelchik = 0.9798076211353316 assert_close(entrance_angled(30.0), K_30_Idelchik) assert_close(entrance_angled(30.0, method='Idelchik'), K_30_Idelchik) with pytest.raises(Exception): entrance_angled(30, method='BADMETHOD') ### Bends def test_bend_rounded_Crane(): K = bend_rounded_Crane(Di=.4020, rc=.4*5, angle=30.0) assert_close(K, 0.09321910015613409) K_max = bend_rounded_Crane(Di=.400, rc=.4*25, angle=30) K_limit = bend_rounded_Crane(Di=.400, rc=.4*20, angle=30.0) assert_close(K_max, K_limit) # Test default assert_close(bend_rounded_Crane(Di=.4020, rc=.4020*5, angle=30, bend_diameters=5.0), bend_rounded_Crane(Di=.4020, rc=.4020*5, angle=30.0)) with pytest.raises(Exception): bend_rounded_Crane(Di=.4020, rc=.4*5, bend_diameters=8, angle=30) def test_bend_rounded_Miller(): # Miller examples - 9.12 D = .6 Re = Reynolds(V=4, D=D, nu=1.14E-6) kwargs = dict(Di=D, bend_diameters=2, angle=90, Re=Re, roughness=.02E-3) K = bend_rounded_Miller(L_unimpeded=30*D, **kwargs) assert_close(K, 0.1513266131915296, rtol=1e-4)# 0.150 in Miller- 1% difference due to fd K = bend_rounded_Miller(L_unimpeded=0*D, **kwargs) assert_close(K, 0.1414607344374372, rtol=1e-4) # 0.135 in Miller - Difference mainly from Co interpolation method, OK with that K = bend_rounded_Miller(L_unimpeded=2*D, **kwargs) assert_close(K, 0.09343184457353562, rtol=1e-4) # 0.093 in miller def test_bend_rounded(): ### Bends K_5_rc = [bend_rounded(Di=4.020, rc=4.0*5, angle=i, fd=0.0163) for i in [15.0, 30.0, 45, 60, 75, 90]] K_5_rc_values = [0.07038212630028828, 0.10680196344492195, 0.13858204974134541, 0.16977191374717754, 0.20114941557508642, 0.23248382866658507] assert_close1d(K_5_rc, K_5_rc_values) K_10_rc = [bend_rounded(Di=34.500, rc=36*10, angle=i, fd=0.0106) for i in [15, 30, 45, 60, 75, 90]] K_10_rc_values = [0.061075866683922314, 0.10162621862720357, 0.14158887563243763, 0.18225270014527103, 0.22309967045081655, 0.26343782210280947] assert_close1d(K_10_rc, K_10_rc_values) K = bend_rounded(Di=4.020, bend_diameters=5.0, angle=30.0, fd=0.0163) assert_close(K, 0.106920213333191) K = bend_rounded(Di=4.020, bend_diameters=5.0, angle=30, Re=1E5) assert_close(K, 0.11532121658742862) K = bend_rounded(Di=4.020, bend_diameters=5.0, angle=30, Re=1E5, method='Miller') assert_close(K, 0.10276501180879682) K = bend_rounded(Di=.5, bend_diameters=5.0, angle=30, Re=1E5, method='Crane') assert_close(K, 0.08959057097762159) K = bend_rounded(Di=.5, bend_diameters=5.0, angle=30, Re=1E5, method='Ito') assert_close(K, 0.10457946464978755) K = bend_rounded(Di=.5, bend_diameters=5.0, angle=30, Re=1E5, method='Swamee') assert_close(K, 0.055429466248839564) assert type(bend_rounded(Di=4.020, rc=4.0*5, angle=30, Re=1E5, method='Miller')) == float # Crane standard fittings Di = 4 v0 = bend_rounded(Di=4, angle=45, method='Crane standard')/ft_Crane(Di) assert_close(v0, 16.0) v0 = bend_rounded(Di=4, angle=90, method='Crane standard')/ft_Crane(Di) assert_close(v0, 30.0) v0 = bend_rounded(Di=4, angle=180, method='Crane standard')/ft_Crane(Di) assert_close(v0, 50.0) # extrapolation - check behavior is sane v0 = bend_rounded(Di=4, angle=360, method='Crane standard')/ft_Crane(Di) assert_close(v0, 90.0) v0 = bend_rounded(Di=4, angle=0, method='Crane standard')/ft_Crane(Di) assert_close(v0, 2.0) def test_bend_miter(): K_miters = [bend_miter(i) for i in [150.0, 120, 90, 75, 60, 45, 30, 15]] K_miter_values = [2.7128147734758103, 2.0264994448555864, 1.2020815280171306, 0.8332188430731828, 0.5299999999999998, 0.30419633092708653, 0.15308822558050816, 0.06051389308126326] assert_close1d(K_miters, K_miter_values) K = bend_miter(Di=.6, angle=45.0, Re=1e6, roughness=1e-5, L_unimpeded=20.0, method='Miller') assert_close(K, 0.2944060416245167) K = bend_miter(Di=.05, angle=45, Re=1e6, roughness=1e-5, method='Crane') assert_close(K, 0.28597953150073047) K = bend_miter(angle=45, Re=1e6, method='Rennels') assert_close(K, 0.30419633092708653) with pytest.raises(Exception): bend_miter(angle=45, Re=1e6, method='BADMETHOD') def test_bend_miter_Miller(): K = bend_miter_Miller(Di=.6, angle=45, Re=1e6, roughness=1e-5, L_unimpeded=20.0) assert_close(K, 0.2944060416245167) K_default_L_unimpeded = bend_miter_Miller(Di=.6, angle=45, Re=1e6, roughness=1e-5) assert_close(K, K_default_L_unimpeded) K_high_angle = bend_miter_Miller(Di=.6, angle=120.0, Re=1e6, roughness=1e-5, L_unimpeded=20.0) K_higher_angle = bend_miter_Miller(Di=.6, angle=150.0, Re=1e6, roughness=1e-5, L_unimpeded=20.0) assert_close(K_high_angle, K_higher_angle) assert type(bend_rounded_Miller(Di=.6, bend_diameters=2, angle=90, Re=2e6, roughness=2E-5, L_unimpeded=30*.6)) is float @pytest.mark.slow @pytest.mark.fuzz def test_bend_rounded_Miller_fuzz(): # Tested for quite a while without problems answers = [] for i in range(500): Di = log_uniform(1e-5, 100) rc = uniform(0, 100) angle = uniform(0, 180) Re = log_uniform(1e-5, 1E15) roughness = uniform(1e-10, Di*.95) L_unimpeded = log_uniform(1e-10, Di*1000) ans = bend_rounded_Miller(Di=Di, rc=rc, angle=angle, Re=Re, roughness=roughness, L_unimpeded=L_unimpeded) if isnan(ans) or isinf(ans): raise Exception answers.append(ans) assert min(answers) >= 0 assert max(answers) < 1E10 @pytest.mark.slow @pytest.mark.fuzz def test_bend_miter_Miller_fuzz(): # Tested for quite a while without problems answers = [] for i in range(10**3): Di = log_uniform(1e-5, 100) angle = uniform(0, 120) Re = log_uniform(1e-5, 1E15) roughness = uniform(1e-10, Di*.95) L_unimpeded = log_uniform(1e-10, Di*1000) ans = bend_miter_Miller(Di=Di, angle=angle, Re=Re, roughness=roughness, L_unimpeded=L_unimpeded) if isnan(ans) or isinf(ans): raise Exception answers.append(ans) assert min(answers) >= 0 assert max(answers) < 1E10 ### Diffusers def test_diffuser_sharp(): K_sharp = diffuser_sharp(Di1=.5, Di2=1.0) assert_close(K_sharp, 0.5625, rtol=1e-12) K = diffuser_sharp(Di1=.5, Di2=1.0, Re=1e5, method='Hooper') assert_close(K, 0.5705953978879232, rtol=1e-12) K = diffuser_sharp(Di1=.5, Di2=1.0, Re=1e3, method='Hooper') assert_close(K, 1.875, rtol=1e-12) K = diffuser_sharp(Di1=.5, Di2=1.0, Re=1e5, fd=1e-7, method='Hooper') assert_close(K, 0.562500045) with pytest.raises(Exception): diffuser_sharp(Di1=.5, Di2=1.0, method='Hooper') with pytest.raises(Exception): diffuser_sharp(Di1=.5, Di2=1.0, method='BADMETHOD') def test_diffuser_conical(): assert_close(diffuser_conical(Di1=1/3., Di2=1.0, angle=50.0, Re=1e7), 0.8017372988217512) K1 = diffuser_conical(Di1=.1**0.5, Di2=1, angle=10., fd=0.020) K2 = diffuser_conical(Di1=1/3., Di2=1, angle=50.0, fd=0.03) # 2 K3 = diffuser_conical(Di1=2/3., Di2=1, angle=40, fd=0.03) # 3 K4 = diffuser_conical(Di1=1/3., Di2=1, angle=120, fd=0.0185) # #4 K5 = diffuser_conical(Di1=2/3., Di2=1, angle=120, fd=0.0185) # Last K6 = diffuser_conical(Di1=.1**0.5, Di2=1, l=3.908, fd=0.020) Ks = [0.12301652230915454, 0.8081340270019336, 0.32533470783539786, 0.812308728765127, 0.3282650135070033, 0.12300865396254032] assert_close1d([K1, K2, K3, K4, K5, K6], Ks) with pytest.raises(Exception): diffuser_conical(Di1=.1, Di2=0.1, angle=1800., fd=0.020) with pytest.raises(Exception): diffuser_conical(Di1=.1, Di2=0.1, fd=0.020) K1 = diffuser_conical_staged(Di1=1., Di2=10., DEs=[2.0,3,4,5,6,7,8,9], ls=[1.0,1.0,1,1,1,1,1,1,1], fd=0.01) K2 = diffuser_conical(Di1=1., Di2=10.,l=9, fd=0.01) Ks = [1.7681854713484308, 0.973137914861591] assert_close1d([K1, K2], Ks) # Idelchilk Ks_Idelchik = [diffuser_conical(Di1=.1**0.5, Di2=1, l=l, method='Idelchik') for l in [.1, .5, 1, 2, 3, 4, 5, 20]] Ks_Idelchik_expect = [0.8617385829640242, 0.9283647028367953, 0.7082429168951839, 0.291016580744589, 0.18504484868875992, 0.147705693811332, 0.12911637682462676, 0.17] assert_close1d(Ks_Idelchik, Ks_Idelchik_expect, rtol=1e-2) K = diffuser_conical(Di1=1/3., Di2=1.0, angle=50.0, Re=1E6, method='Hooper') assert_close(K, 0.79748427282836) K = diffuser_conical(Di1=1/3., Di2=1.0, angle=15.0, Re=1E6, method='Hooper') assert_close(K, 0.2706407222679227) K = diffuser_conical(Di1=1/3., Di2=1.0, angle=15.0, Re=1E6, method='Hooper', fd=0.0) assert_close(K, 0.26814269611625413) K = diffuser_conical(Di1=1/3., Di2=1.0, angle=15.0, Re=100, method='Hooper') assert_close(K, 1.9753086419753085) with pytest.raises(Exception): diffuser_conical(Di1=1/3., Di2=1.0, angle=15.0, method='Hooper') with pytest.raises(Exception): diffuser_conical(Di1=1/3., Di2=1.0, angle=15.0, method='BADMETHOD') ### Contractions def test_contraction_sharp(): K_sharp = contraction_sharp(Di1=1.0, Di2=0.4) assert_close(K_sharp, 0.5301269161591805) K = contraction_sharp(Di1=1.0, Di2=0.4, Re=1e5, method='Hooper') assert_close(K, 0.5112534765075794) K = contraction_sharp(Di1=1, Di2=0.4, Re=1e3, method='Hooper') assert_close(K, 1.3251840000000001) K = contraction_sharp(Di1=1, Di2=0.4, Re=1e7, fd=1e-5, method='Hooper') assert_close(K, 0.5040040320000001) with pytest.raises(Exception): contraction_sharp(Di1=1, Di2=0.4, method='Hooper') with pytest.raises(Exception): K = contraction_sharp(Di1=1, Di2=0.4, Re=1e5, method='BADMETHOD') K = contraction_sharp(3.0, 2.0, method='Crane') assert_close(K, 0.2777777777777778) # From Crane 7-19 Water sample problem # Convert back to the larger 3 inch diameter K = change_K_basis(contraction_conical_Crane(3*inch, 2*inch, l=1e-10), 2.*inch, 3.*inch,) assert_close(K, 1.4062499999999991) K = change_K_basis(contraction_sharp(3*inch, 2*inch, method='Crane'), 2.*inch, 3.*inch,) assert_close(K, 1.4062499999999991) def test_contraction_conical_Crane(): K2 = contraction_conical_Crane(Di1=0.0779, Di2=0.0525, l=0) assert_close(K2, 0.2729017979998056) def test_contraction_round(): K_round = contraction_round(Di1=1.0, Di2=0.4, rc=0.04) assert_close(K_round, 0.1783332490866574) K = contraction_round(Di1=1.0, Di2=0.4, rc=0.04, method='Miller') assert_close(K, 0.085659530512986387) K = contraction_round(Di1=1.0, Di2=0.4, rc=0.04, method='Idelchik') assert_close(K, 0.1008) with pytest.raises(Exception): contraction_round(Di1=1.0, Di2=0.4, rc=0.04, method='BADMETHOD') def test_contraction_round_Miller(): K = contraction_round_Miller(Di1=1, Di2=0.4, rc=0.04) assert_close(K, 0.085659530512986387) def test_contraction_conical(): K_conical1 = contraction_conical(Di1=0.1, Di2=0.04, l=0.04, fd=0.0185) K_conical2 = contraction_conical(Di1=0.1, Di2=0.04, angle=73.74, fd=0.0185) assert_close1d([K_conical1, K_conical2], [0.15779041548350314, 0.15779101784158286]) with pytest.raises(Exception): contraction_conical(Di1=0.1, Di2=0.04, fd=0.0185) K = contraction_conical(Di1=0.1, Di2=.04, l=.004, Re=1E6, method='Rennels') assert_close(K, 0.47462419839494946) K = contraction_conical(Di1=0.1, Di2=.04, l=.004, Re=1E6, method='Idelchik') assert_close(K, 0.391723) K = contraction_conical(Di1=0.1, Di2=.04, l=.004, Re=1E6, method='Crane') assert_close(K, 0.41815380146594) K = contraction_conical(Di1=0.1, Di2=.04, l=.004, Re=1E6, method='Swamee') assert_close(K, 0.4479863925376303) K = contraction_conical(Di1=0.1, Di2=.04, l=.004, Re=1E6, method='Blevins') assert_close(K, 0.365) K = contraction_conical(Di1=0.1, Di2=0.04, l=0.04, Re=1E6, method='Miller') assert_close(K, 0.0918289683812792) # high l ratio rounding K = contraction_conical(Di1=0.1, Di2=0.06, l=0.04, Re=1E6, method='Miller') assert_close(K, 0.08651515699621345) # low a ratio rounding K = contraction_conical(Di1=0.1, Di2=0.099, l=0.04, Re=1E6, method='Miller') assert_close(K, 0.03065262382984957) # low l ratio K = contraction_conical(Di1=0.1, Di2=0.04, l=0.001, Re=1E6, method='Miller') assert_close(K, 0.5) # high l ratio rounding K = contraction_conical(Di1=0.1, Di2=0.05, l=1, Re=1E6, method='Miller') assert_close(K, 0.04497085709551787) with pytest.raises(Exception): contraction_conical(Di1=0.1, Di2=.04, l=.004, Re=1E6, method='BADMETHOD') K = contraction_conical(Di1=0.1, Di2=0.04, l=0.04, Re=1E6, method='Hooper') # Turb, high angle assert_close(K, 0.39403366995770217, rtol=1e-12) K = contraction_conical(Di1=0.1, Di2=0.04, l=.5, Re=1E6, method='Hooper') # low angle assert_close(K, 0.04874708101353686, rtol=1e-12) K = contraction_conical(Di1=0.1, Di2=0.04, l=.5, Re=10, method='Hooper') # laminar assert_close(K, 1.606041003307766) K = contraction_conical(Di1=0.1, Di2=0.04, l=.5, Re=1E6, fd=1e-6, method='Hooper') assert_close(K, 0.04829718188073081) with pytest.raises(Exception): # Need re to determine regime contraction_conical(Di1=0.1, Di2=0.04, l=.5, fd=1e-6, method='Hooper') with pytest.raises(Exception): contraction_conical(Di1=0.1, Di2=0.04, l=.5, method='Rennels') # l_ratio > 0.6 case K = contraction_conical(Di1=0.1, Di2=0.04, l=10, fd=1e-6, method='Blevins') assert_close(K, 0.2025) # Case A_ratio > 10 K = contraction_conical(Di1=0.1, Di2=0.01, l=10, fd=1e-6, method='Blevins') assert_close(K, 0.27) # Case with A_ratio < 1.2 K = contraction_conical(Di1=0.1, Di2=0.099999, l=100, fd=1e-6, method='Blevins') assert_close(K, 0.03) # case angle_rad > 20.0*deg2rad K = contraction_conical(Di1=1, Di2=0.01, l=.5, fd=1e-6, method='Idelchik') assert_close(K, 0.21089636998777261) # case angle_rad < 2.0*deg2rad K = contraction_conical(Di1=1, Di2=0.99, l=.5, fd=1e-6, method='Idelchik') assert_close(K, 0.09947364590616913) # case angle_fric = angle_rad*rad2deg K = contraction_conical(Di1=1, Di2=0.5, l=10, fd=1e-6, method='Idelchik') assert_close(K, 0.431024986913148) # Default method assert_close(contraction_conical(Di1=0.1, Di2=0.04, l=0.04, Re=1e6), contraction_conical(Di1=0.1, Di2=0.04, l=0.04, Re=1e6, method='Rennels')) ### Valves def test_valve_coefficients(): Cv = Kv_to_Cv(2) assert_close(Cv, 2.3121984567073133) Kv = Cv_to_Kv(2.312) assert_close(Kv, 1.9998283393826013) K = Kv_to_K(2.312, .015) assert_close(K, 15.15337460039990) Kv = K_to_Kv(15.15337460039990, .015) assert_close(Kv, 2.312) # Two way conversions K = Cv_to_K(2.712, .015) assert_close(K, 14.719595348352552) assert_close(K, Kv_to_K(Cv_to_Kv(2.712), 0.015)) Cv = K_to_Cv(14.719595348352552, .015) assert_close(Cv, 2.712) assert_close(Cv, Kv_to_Cv(K_to_Kv(14.719595348352552, 0.015))) # Code to generate the Kv Cv conversion factor # Round 1 trip; randomly assume Kv = 12, rho = 900; they can be anything # an tit still works dP = 1E5 rho = 900. Kv = 12. Q = Kv/3600. D = .01 V = Q/(pi/4*D**2) K = dP/(.5*rho*V*V) good_K = K def to_solve(x): from fluids.constants import gallon, minute, hour, psi conversion = gallon/minute*hour # from gpm to m^3/hr dP = 1*psi Cv = Kv*x*conversion Q = Cv/3600 D = .01 V = Q/(pi/4*D**2) K = dP/(.5*rho*V*V) return K - good_K ans = secant(to_solve, 1.2) assert_close(ans, 1.1560992283536566) def test_K_gate_valve_Crane(): K = K_gate_valve_Crane(D1=.01, D2=.02, angle=45, fd=.015) assert_close(K, 14.548553268047963) K = K_gate_valve_Crane(D1=.1, D2=.1, angle=0, fd=.015) assert_close(K, 0.12) # non-smooth transition test K = K_gate_valve_Crane(D1=.1, D2=.146, angle=45, fd=.015) assert_close(K, 2.5577948931946746) K = K_gate_valve_Crane(D1=.1, D2=.146, angle=45.01, fd=.015) assert_close(K, 2.5719286772143595) K = K_gate_valve_Crane(D1=.1, D2=.146, angle=13.115) assert_close(K, 1.1466029421844073, rtol=1e-4) def test_K_globe_valve_Crane(): K = K_globe_valve_Crane(.01, .02, fd=.015) assert_close(K, 87.1) assert_close(K_globe_valve_Crane(.01, .01, fd=.015), .015*340) K = K_globe_valve_Crane(.01, .02) assert_close(K, 135.9200548324305) def test_K_angle_valve_Crane(): K = K_angle_valve_Crane(.01, .02, fd=.016) assert_close(K, 19.58) K = K_angle_valve_Crane(.01, .02, fd=.016, style=1) assert_close(K, 43.9) K = K_angle_valve_Crane(.01, .01, fd=.016, style=1) assert_close(K, 2.4) with pytest.raises(Exception): K_angle_valve_Crane(.01, .02, fd=.016, style=-1) K = K_angle_valve_Crane(.01, .02) assert_close(K, 26.597361811128465) def test_K_swing_check_valve_Crane(): K = K_swing_check_valve_Crane(D=.1, fd=.016) assert_close(K, 1.6) K = K_swing_check_valve_Crane(D=.1, fd=.016, angled=False) assert_close(K, 0.8) K = K_swing_check_valve_Crane(D=.02) assert_close(K, 2.3974274785373257) def test_K_lift_check_valve_Crane(): K = K_lift_check_valve_Crane(.01, .02, fd=.016) assert_close(K, 21.58) K = K_lift_check_valve_Crane(.01, .01, fd=.016) assert_close(K, 0.88) K = K_lift_check_valve_Crane(.01, .01, fd=.016, angled=False) assert_close(K, 9.6) K = K_lift_check_valve_Crane(.01, .02, fd=.016, angled=False) assert_close(K, 161.1) K = K_lift_check_valve_Crane(.01, .02) assert_close(K, 28.597361811128465) def test_K_tilting_disk_check_valve_Crane(): K = K_tilting_disk_check_valve_Crane(.01, 5.0, fd=.016) assert_close(K, 0.64) K = K_tilting_disk_check_valve_Crane(.25, 5, fd=.016) assert_close(K, .48) K = K_tilting_disk_check_valve_Crane(.9, 5, fd=.016) assert_close(K, 0.32) K = K_tilting_disk_check_valve_Crane(.01, 15, fd=.016) assert_close(K, 1.92) K = K_tilting_disk_check_valve_Crane(.25, 15, fd=.016) assert_close(K, 1.44) K = K_tilting_disk_check_valve_Crane(.9, 15, fd=.016) assert_close(K, 0.96) K = K_tilting_disk_check_valve_Crane(.01, 5) assert_close(K, 1.1626516551826345) def test_K_globe_stop_check_valve_Crane(): K = K_globe_stop_check_valve_Crane(.1, .02, .0165) assert_close(K, 4.5225599999999995) K = K_globe_stop_check_valve_Crane(.1, .02, .0165, style=1) assert_close(K, 4.51992) K = K_globe_stop_check_valve_Crane(.1, .02, .0165, style=2) assert_close(K, 4.513452) with pytest.raises(Exception): K_globe_stop_check_valve_Crane(.1, .02, .0165, style=-1) K = K_globe_stop_check_valve_Crane(.1, .1, .0165) assert_close(K, 6.6) K = K_globe_stop_check_valve_Crane(.1, .02, style=1) assert_close(K, 4.5235076518969795) def test_K_angle_stop_check_valve_Crane(): K = K_angle_stop_check_valve_Crane(.1, .02, .0165) assert_close(K, 4.51728) K = K_angle_stop_check_valve_Crane(.1, .02, .0165, style=1) assert_close(K, 4.52124) K = K_angle_stop_check_valve_Crane(.1, .02, .0165, style=2) assert_close(K, 4.513452) with pytest.raises(Exception): K_angle_stop_check_valve_Crane(.1, .02, .0165, style=-1) K = K_angle_stop_check_valve_Crane(.1, .1, .0165) assert_close(K, 3.3) K = K_angle_stop_check_valve_Crane(.1, .02, style=1) assert_close(K, 4.525425593879809) def test_K_ball_valve_Crane(): K = K_ball_valve_Crane(.01, .02, 50., .025) assert_close(K, 14.100545785228675) K = K_ball_valve_Crane(.01, .02, 40, .025) assert_close(K, 12.48666472974707) K = K_ball_valve_Crane(.01, .01, 0, .025) assert_close(K, 0.07500000000000001) K = K_ball_valve_Crane(.01, .02, 50) assert_close(K, 14.051310974926592) def test_K_diaphragm_valve_Crane(): K = K_diaphragm_valve_Crane(fd=0.015, style=0) assert_close(2.235, K) K = K_diaphragm_valve_Crane(fd=0.015, style=1) assert_close(K, 0.585) with pytest.raises(Exception): K_diaphragm_valve_Crane(fd=0.015, style=-1) K = K_diaphragm_valve_Crane(D=.1, style=0) assert_close(K, 2.4269804835982565) def test_K_foot_valve_Crane(): K = K_foot_valve_Crane(fd=0.015, style=0) assert_close(K, 6.3) K = K_foot_valve_Crane(fd=0.015, style=1) assert_close(K, 1.125) with pytest.raises(Exception): K_foot_valve_Crane(fd=0.015, style=-1) K = K_foot_valve_Crane(D=0.2, style=0) assert_close(K, 5.912221498436275) def test_K_butterfly_valve_Crane(): K = K_butterfly_valve_Crane(.1, 0.0165) assert_close(K, 0.7425) K = K_butterfly_valve_Crane(.3, 0.0165, style=1) assert_close(K, 0.8580000000000001) K = K_butterfly_valve_Crane(.6, 0.0165, style=2) assert_close(K, 0.9075000000000001) with pytest.raises(Exception): K_butterfly_valve_Crane(.6, 0.0165, style=-1) K = K_butterfly_valve_Crane(D=.1, style=2) assert_close(K, 3.5508841974793284) def test_K_plug_valve_Crane(): K = K_plug_valve_Crane(.01, .02, 50.0, .025) assert_close(K, 20.100545785228675) K = K_plug_valve_Crane(.01, .02, 50, .025, style=1) assert_close(K, 24.900545785228676) K = K_plug_valve_Crane(.01, .02, 50, .025, style=2) assert_close(K, 48.90054578522867) K = K_plug_valve_Crane(.01, .01, 50, .025, style=2) assert_close(K, 2.25) with pytest.raises(Exception): K_plug_valve_Crane(.01, .01, 50, .025, style=-1) K = K_plug_valve_Crane(D1=.01, D2=.02, angle=50) assert_close(K, 19.80513692341617) def test_v_lift_valve_Crane(): v = v_lift_valve_Crane(rho=998.2, D1=0.0627, D2=0.0779, style='lift check straight') assert_close(v, 1.0252301935349286) v = v_lift_valve_Crane(rho=998.2, style='swing check angled') assert_close(v, 1.4243074011010037) ### Tees def test_K_branch_converging_Crane(): K = K_branch_converging_Crane(0.1023, 0.1023, 1135*liter/minute, 380*liter/minute, angle=90) assert_close(K, -0.04026, atol=.0001) K = K_branch_converging_Crane(0.1023, 0.05, 1135*liter/minute, 380*liter/minute, angle=90) assert_close(K, 0.9799379575823042) K = K_branch_converging_Crane(0.1023, 0.1023, 0.018917, 0.0133) assert_close(K, 0.2644824555594152) K = K_branch_converging_Crane(0.1023, 0.1023, 0.018917, 0.0133, angle=45) assert_close(K, 0.13231793346761025) def test_K_run_converging_Crane(): K = K_run_converging_Crane(0.1023, 0.1023, 0.018917, 0.00633) assert_close(K, 0.32575847854551254) K = K_run_converging_Crane(0.1023, 0.1023, 0.018917, 0.00633, angle=30.0) assert_close(K, 0.32920396892611553) K = K_run_converging_Crane(0.1023, 0.1023, 0.018917, 0.00633, angle=60) assert_close(K, 0.3757218131135227) def test_K_branch_diverging_Crane(): K = K_branch_diverging_Crane(0.146, 0.146, 1515*liter/minute, 950*liter/minute, angle=45.) assert_close(K, 0.4640, atol=0.0001) K = K_branch_diverging_Crane(0.146, 0.146, 0.02525, 0.01583, angle=90) assert_close(K, 1.0910792393446236) K = K_branch_diverging_Crane(0.146, 0.07, 0.02525, 0.01583, angle=45) assert_close(K, 1.1950718299625727) K = K_branch_diverging_Crane(0.146, 0.07, 0.01425, 0.02283, angle=45) assert_close(K, 3.7281052908078762) K = K_branch_diverging_Crane(0.146, 0.146, 0.02525, 0.01983, angle=90) assert_close(K, 1.1194688533508077) # New test cases post-errata K = K_branch_diverging_Crane(0.146, 0.146, 0.02525, 0.04183, angle=45) assert_close(K, 0.30418565498014477) K = K_branch_diverging_Crane(0.146, 0.116, 0.02525, 0.01983, angle=90) assert_close(K, 1.1456727552755597) def test_K_run_diverging_Crane(): K = K_run_diverging_Crane(0.146, 0.146, 1515*liter/minute, 950*liter/minute, angle=45.) assert_close(K, -0.06809, atol=.00001) K = K_run_diverging_Crane(0.146, 0.146, 0.01025, 0.01983, angle=45) assert_close(K, 0.041523953539921235) K = K_run_diverging_Crane(0.146, 0.08, 0.02525, 0.01583, angle=90) assert_close(K, 0.0593965132275684) fluids-1.0.22/tests/test_flow_meter.py0000644000175000017500000013644414302004506017334 0ustar nileshnilesh# -*- coding: utf-8 -*- '''Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2018 Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.''' from fluids.flow_meter import flow_meter_discharge from fluids.flow_meter import * from fluids.constants import inch from math import log10, log, exp from fluids.numerics import secant, linspace, logspace, assert_close, isclose, assert_close1d, assert_close2d import pytest def test_flow_meter_discharge(): m = flow_meter_discharge(D=0.0739, Do=0.0222, P1=1E5, P2=9.9E4, rho=1.1646, C=0.5988, expansibility=0.9975) assert_close(m, 0.01120390943807026) def test_orifice_expansibility(): epsilon = orifice_expansibility(D=0.0739, Do=0.0222, P1=1E5, P2=9.9E4, k=1.4) assert_close(epsilon, 0.9974739057343425) # Tested against a value in the standard def test_orifice_expansibility_1989(): # No actual sample points epsilon = orifice_expansibility_1989(D=0.0739, Do=0.0222, P1=1E5, P2=9.9E4, k=1.4) assert_close(epsilon, 0.9970510687411718) def test_C_Reader_Harris_Gallagher(): C = C_Reader_Harris_Gallagher(D=0.07391, Do=0.0222, rho=1.1645909036, mu=0.0000185861753095, m=0.124431876, taps='corner' ) assert_close(C, 0.6000085121444034) C = C_Reader_Harris_Gallagher(D=0.07391, Do=0.0222, rho=1.1645909036, mu=0.0000185861753095, m=0.124431876, taps='D' ) assert_close(C, 0.5988219225153976) C = C_Reader_Harris_Gallagher(D=0.07391, Do=0.0222, rho=1.1645909036, mu=0.0000185861753095, m=0.124431876, taps='flange' ) assert_close(C, 0.5990042535666878) # #def test_Reader_Harris_Gallagher_discharge(): # m = Reader_Harris_Gallagher_discharge(D=0.07366, Do=0.05, P1=200000.0, P2=183000.0, rho=999.1, mu=0.0011, k=1.33, taps='D') # assert_close(m, 7.702338035732167) with pytest.raises(Exception): C_Reader_Harris_Gallagher(D=0.07391, Do=0.0222, rho=1.165, mu=1.85E-5, m=0.12, taps='NOTALOCATION') # Test continuity at the low-diameter function kwargs = dict(Do=0.0222, rho=1.1645909036, mu=0.0000185861753095, m=0.124431876, taps='corner') C1 = C_Reader_Harris_Gallagher(D=0.07112, **kwargs) C2 = C_Reader_Harris_Gallagher(D=0.07112-1e-13, **kwargs) assert_close(C1, C2) def test_C_Miller_1996(): C_flange_ISO = C_Reader_Harris_Gallagher(D=0.07391, Do=0.0222, rho=1.165, mu=1.85E-5, m=0.12, taps='flange') C_corner_ISO = C_Reader_Harris_Gallagher(D=0.07391, Do=0.0222, rho=1.165, mu=1.85E-5, m=0.12, taps='corner') C_D_D2_ISO = C_Reader_Harris_Gallagher(D=0.07391, Do=0.0222, rho=1.165, mu=1.85E-5, m=0.12, taps=ORIFICE_D_AND_D_2_TAPS) C_flange = C_Miller_1996(D=0.07391, Do=0.0222, rho=1.165, mu=1.85E-5, m=0.12, subtype=MILLER_ORIFICE, taps=ORIFICE_FLANGE_TAPS) C_flange_2 = C_Miller_1996(D=0.07391, Do=0.0222, rho=1.165, mu=1.85E-5, m=0.12, subtype='orifice', taps=ORIFICE_FLANGE_TAPS) assert C_flange == C_flange_2 assert_close(C_flange, 0.599065557156788, rtol=1e-12) assert_close(C_flange, C_flange_ISO, rtol=2e-4) C_flange_small_ISO = C_Reader_Harris_Gallagher(D=0.04, Do=0.02, rho=1.165, mu=1.85E-5, m=0.2, taps='flange') C_flange_small = C_Miller_1996(D=0.04, Do=0.02, rho=1.165, mu=1.85E-5, m=0.2, subtype=MILLER_ORIFICE, taps=ORIFICE_FLANGE_TAPS) assert_close(C_flange_small, 0.6035249226284967, rtol=1e-12) assert_close(C_flange_small_ISO, C_flange_small, rtol=1e-2) C_corner = C_Miller_1996(D=0.07391, Do=0.0222, rho=1.165, mu=1.85E-5, m=0.12, subtype=MILLER_ORIFICE, taps=ORIFICE_CORNER_TAPS) assert_close(C_corner, 0.5991255880475622, rtol=1e-12) assert_close(C_corner, C_corner_ISO, rtol=2e-3) C_D_D2 = C_Miller_1996(D=0.07391, Do=0.0222, rho=1.165, mu=1.85E-5, m=0.12, subtype=MILLER_ORIFICE, taps=ORIFICE_D_AND_D_2_TAPS) assert_close(C_D_D2, 0.5836056345693277, rtol=1e-12) assert_close(C_D_D2, C_D_D2_ISO, rtol=3e-2) C_pipe = C_Miller_1996(D=0.07391, Do=0.0222, rho=1.165, mu=1.85E-5, m=0.12, subtype=MILLER_ORIFICE, taps=ORIFICE_PIPE_TAPS) assert_close(C_pipe, 0.6338716097225481, rtol=1e-12) C_flange_small = C_Miller_1996(D=0.07391, Do=0.0222, rho=1.165, mu=1.85E-5, m=0.12, subtype=MILLER_SEGMENTAL_ORIFICE, taps=ORIFICE_FLANGE_TAPS) C_flange_small2 = C_Miller_1996(D=0.07391, Do=0.0222, rho=1.165, mu=1.85E-5, m=0.12, subtype='segmental orifice', taps=ORIFICE_FLANGE_TAPS) assert C_flange_small == C_flange_small C_flange_large = C_Miller_1996(D=0.2, Do=0.08, rho=1.165, mu=1.85E-5, m=2, subtype=MILLER_SEGMENTAL_ORIFICE, taps=ORIFICE_FLANGE_TAPS) assert_close(C_flange_small, 0.6343546437000684, rtol=1e-12) assert_close(C_flange_large, 0.6301688962913937, rtol=1e-12) C_vc_small = C_Miller_1996(D=0.07391, Do=0.0222, rho=1.165, mu=1.85E-5, m=0.12, subtype=MILLER_SEGMENTAL_ORIFICE, taps=ORIFICE_VENA_CONTRACTA_TAPS) C_vc_large = C_Miller_1996(D=0.2, Do=0.08, rho=1.165, mu=1.85E-5, m=2, subtype=MILLER_SEGMENTAL_ORIFICE, taps=ORIFICE_VENA_CONTRACTA_TAPS) assert_close(C_vc_small, 0.6341386019820933, rtol=1e-12) assert_close(C_vc_large, 0.6301688962913937, rtol=1e-12) C_flange_opp_small = C_Miller_1996(D=0.07391, Do=0.0222, rho=1.165, mu=1.85E-5, m=0.12, subtype=MILLER_ECCENTRIC_ORIFICE, taps='flange', tap_position=TAPS_OPPOSITE) C_flange_opp_small2 = C_Miller_1996(D=0.07391, Do=0.0222, rho=1.165, mu=1.85E-5, m=0.12, subtype='eccentric orifice', taps='flange', tap_position=TAPS_OPPOSITE) assert_close(C_flange_opp_small, 0.6096299230744815, rtol=1e-12) C_flange_opp_large = C_Miller_1996(D=0.2, Do=0.08, rho=1.165, mu=1.85E-5, m=2, subtype=MILLER_ECCENTRIC_ORIFICE, taps='flange', tap_position=TAPS_OPPOSITE) assert_close(C_flange_opp_large, 0.6196903510975135, rtol=1e-12) C_flange_side_small = C_Miller_1996(D=0.07391, Do=0.0222, rho=1.165, mu=1.85E-5, m=0.12, subtype=MILLER_ECCENTRIC_ORIFICE, taps='flange', tap_position=TAPS_SIDE) C_flange_side_large = C_Miller_1996(D=0.2, Do=0.08, rho=1.165, mu=1.85E-5, m=2, subtype=MILLER_ECCENTRIC_ORIFICE, taps='flange', tap_position=TAPS_SIDE) assert_close(C_flange_side_small, 0.6086231594104639, rtol=1e-12) assert_close(C_flange_side_large, 0.6227796822413327, rtol=1e-12) C_vc_opp_small = C_Miller_1996(D=0.07391, Do=0.0222, rho=1.165, mu=1.85E-5, m=0.12, subtype=MILLER_ECCENTRIC_ORIFICE, taps=ORIFICE_VENA_CONTRACTA_TAPS, tap_position=TAPS_OPPOSITE) assert_close(C_vc_opp_small, 0.6108105171632562, rtol=1e-12) C_vc_opp_large = C_Miller_1996(D=0.2, Do=0.08, rho=1.165, mu=1.85E-5, m=2, subtype=MILLER_ECCENTRIC_ORIFICE, taps=ORIFICE_VENA_CONTRACTA_TAPS, tap_position=TAPS_OPPOSITE) assert_close(C_vc_opp_large, 0.6190713098741648, rtol=1e-12) C_vc_side_small = C_Miller_1996(D=0.07391, Do=0.0222, rho=1.165, mu=1.85E-5, m=0.12, subtype=MILLER_ECCENTRIC_ORIFICE, taps=ORIFICE_VENA_CONTRACTA_TAPS, tap_position=TAPS_SIDE) C_vc_side_large = C_Miller_1996(D=0.2, Do=0.08, rho=1.165, mu=1.85E-5, m=2, subtype=MILLER_ECCENTRIC_ORIFICE, taps=ORIFICE_VENA_CONTRACTA_TAPS, tap_position=TAPS_SIDE) assert_close(C_vc_side_small, 0.6089351556538237, rtol=1e-12) assert_close(C_vc_side_large, 0.6214809940486437, rtol=1e-12) # Error testing with pytest.raises(ValueError): C_Miller_1996(D=0.07391, Do=0.0222, rho=1.165, mu=1.85E-5, m=0.12, subtype=MILLER_ORIFICE, taps='NOTATAP') with pytest.raises(ValueError): C_Miller_1996(D=0.07391, Do=0.0222, rho=1.165, mu=1.85E-5, m=0.12, subtype=MILLER_ECCENTRIC_ORIFICE, taps='NOTATAP') with pytest.raises(ValueError): C_Miller_1996(D=0.07391, Do=0.0222, rho=1.165, mu=1.85E-5, m=0.12, subtype=MILLER_ECCENTRIC_ORIFICE, taps=ORIFICE_FLANGE_TAPS, tap_position='NOTAPOSITION') with pytest.raises(ValueError): C_Miller_1996(D=0.2, Do=0.08, rho=1.165, mu=1.85E-5, m=2, subtype=MILLER_SEGMENTAL_ORIFICE, taps='BADTAP') with pytest.raises(ValueError): C_Miller_1996(D=0.07391, Do=0.0222, rho=1.165, mu=1.85E-5, m=0.12, subtype='BADTYPE') # Conical C_high = C_Miller_1996(D=0.07391, Do=0.0222, rho=1.165, mu=1.85E-5, m=0.12, subtype=MILLER_CONICAL_ORIFICE) assert C_high == 0.73 C_low = C_Miller_1996(D=0.07391, Do=0.0222, rho=1.165, mu=1.85E-5, m=0.0001, subtype=MILLER_CONICAL_ORIFICE) assert C_low == 0.734 C_low2 = C_Miller_1996(D=0.07391, Do=0.0222, rho=1.165, mu=1.85E-5, m=0.0001, subtype='conical orifice') assert C_low2 == C_low # Quarter circle C_circ = C_Miller_1996(D=0.07391, Do=0.0222, rho=1.165, mu=1.85E-5, m=0.12, subtype=MILLER_QUARTER_CIRCLE_ORIFICE) assert_close(C_circ, 0.7750496225919683) C_circ2 = C_Miller_1996(D=0.07391, Do=0.0222, rho=1.165, mu=1.85E-5, m=0.12, subtype='quarter circle orifice') assert C_circ == C_circ2 def test_differential_pressure_meter_discharge(): # Orifice m = differential_pressure_meter_solver(D=0.07366, D2=0.05, P1=200000.0, P2=183000.0, rho=999.1, mu=0.0011, k=1.33, meter_type=ISO_5167_ORIFICE, taps='D') assert_close(m, 7.702338035732167) # Nozzle meters m = differential_pressure_meter_solver(D=0.07366, D2=0.05, P1=200000.0, P2=183000.0, rho=999.1, mu=0.0011, k=1.33, meter_type=LONG_RADIUS_NOZZLE) assert_close(m, 11.86828167015467) m = differential_pressure_meter_solver(D=0.07366, D2=0.05, P1=200000.0, P2=183000.0, rho=999.1, mu=0.0011, k=1.33, meter_type=ISA_1932_NOZZLE) assert_close(m, 11.370262314304702) m = differential_pressure_meter_solver(D=0.07366, D2=0.05, P1=200000.0, P2=183000.0, rho=999.1, mu=0.0011, k=1.33, meter_type=VENTURI_NOZZLE) assert_close(m, 11.471786198133566) # Venturi tubes m = differential_pressure_meter_solver(D=0.07366, D2=0.05, P1=200000.0, P2=183000.0, rho=999.1, mu=0.0011, k=1.33, meter_type=AS_CAST_VENTURI_TUBE) assert_close(m, 11.867774156238344) m = differential_pressure_meter_solver(D=0.07366, D2=0.05, P1=200000.0, P2=183000.0, rho=999.1, mu=0.0011, k=1.33, meter_type=MACHINED_CONVERGENT_VENTURI_TUBE) assert_close(m, 12.000442363269464) m = differential_pressure_meter_solver(D=0.07366, D2=0.05, P1=200000.0, P2=183000.0, rho=999.1, mu=0.0011, k=1.33, meter_type=ROUGH_WELDED_CONVERGENT_VENTURI_TUBE) assert_close(m, 11.879834902332082) # Cone meter m = differential_pressure_meter_solver(D=0.07366, D2=0.05, P1=200000.0, P2=183000.0, rho=999.1, mu=0.0011, k=1.33, meter_type=CONE_METER) assert_close(m, 9.997923896460703) # wedge meter m = differential_pressure_meter_solver(D=0.07366, D2=0.05, P1=200000.0, P2=183000.0, rho=999.1, mu=0.0011, k=1.33, meter_type=WEDGE_METER) assert_close(m, 8.941980099523539) with pytest.raises(ValueError): differential_pressure_meter_solver(D=.07366, m=7.702338, P2=183000.0, rho=999.1, mu=0.0011, k=1.33, meter_type='ISO 5167 orifice', taps='D') def test_differential_pressure_meter_diameter(): # ISO 5167 orifice D2 = differential_pressure_meter_solver(D=0.07366, m=7.702338035732167, P1=200000.0, P2=183000.0, rho=999.1, mu=0.0011, k=1.33, meter_type=ISO_5167_ORIFICE, taps='D') assert_close(D2, 0.05) # Nozzle meters D2 = differential_pressure_meter_solver(D=0.07366, m= 11.86828167015467, P1=200000.0, P2=183000.0, rho=999.1, mu=0.0011, k=1.33, meter_type=LONG_RADIUS_NOZZLE) assert_close(D2, 0.05) D2 = differential_pressure_meter_solver(D=0.07366, m=11.370262314304702, P1=200000.0, P2=183000.0, rho=999.1, mu=0.0011, k=1.33, meter_type=ISA_1932_NOZZLE) assert_close(D2, 0.05) D2 = differential_pressure_meter_solver(D=0.07366, m=11.471786198133566, P1=200000.0, P2=183000.0, rho=999.1, mu=0.0011, k=1.33, meter_type=VENTURI_NOZZLE) assert_close(D2, 0.05) # Venturi tubes D2 = differential_pressure_meter_solver(D=0.07366, m=11.867774156238344, P1=200000.0, P2=183000.0, rho=999.1, mu=0.0011, k=1.33, meter_type=AS_CAST_VENTURI_TUBE) assert_close(D2, 0.05) D2 = differential_pressure_meter_solver(D=0.07366, m=12.000442363269464, P1=200000.0, P2=183000.0, rho=999.1, mu=0.0011, k=1.33, meter_type=MACHINED_CONVERGENT_VENTURI_TUBE) assert_close(D2, 0.05) D2 = differential_pressure_meter_solver(D=0.07366, m=11.879834902332082, P1=200000.0, P2=183000.0, rho=999.1, mu=0.0011, k=1.33, meter_type=ROUGH_WELDED_CONVERGENT_VENTURI_TUBE) assert_close(D2, 0.05) # Cone meter D2 = differential_pressure_meter_solver(D=0.07366, m=9.997923896460703, P1=200000.0, P2=183000.0, rho=999.1, mu=0.0011, k=1.33, meter_type=CONE_METER) assert_close(D2, 0.05) # wedge meter D2 = differential_pressure_meter_solver(D=0.07366, m=8.941980099523539, P1=200000.0, P2=183000.0, rho=999.1, mu=0.0011, k=1.33, meter_type=WEDGE_METER) assert_close(D2, 0.05) def test_differential_pressure_meter_P2(): P2 = differential_pressure_meter_solver(D=0.07366, m=7.702338035732167, P1=200000.0, D2=0.05, rho=999.1, mu=0.0011, k=1.33, meter_type=ISO_5167_ORIFICE, taps='D') assert_close(P2, 183000.0) # Nozzle meters P2 = differential_pressure_meter_solver(D=0.07366, m= 11.86828167015467, P1=200000.0, D2=0.05, rho=999.1, mu=0.0011, k=1.33, meter_type=LONG_RADIUS_NOZZLE) assert_close(P2, 183000.0) P2 = differential_pressure_meter_solver(D=0.07366, m=11.370262314304702, P1=200000.0, D2=0.05, rho=999.1, mu=0.0011, k=1.33, meter_type=ISA_1932_NOZZLE) assert_close(P2, 183000.0) P2 = differential_pressure_meter_solver(D=0.07366, m=11.471786198133566, P1=200000.0, D2=0.05, rho=999.1, mu=0.0011, k=1.33, meter_type=VENTURI_NOZZLE) assert_close(P2, 183000.0) # Venturi tubes P2 = differential_pressure_meter_solver(D=0.07366, m=11.867774156238344, P1=200000.0, D2=0.05, rho=999.1, mu=0.0011, k=1.33, meter_type=AS_CAST_VENTURI_TUBE) assert_close(P2, 183000.0) P2 = differential_pressure_meter_solver(D=0.07366, m=12.000442363269464, P1=200000.0, D2=0.05, rho=999.1, mu=0.0011, k=1.33, meter_type=MACHINED_CONVERGENT_VENTURI_TUBE) assert_close(P2, 183000.0) P2 = differential_pressure_meter_solver(D=0.07366, m=11.879834902332082, P1=200000.0, D2=0.05, rho=999.1, mu=0.0011, k=1.33, meter_type=ROUGH_WELDED_CONVERGENT_VENTURI_TUBE) assert_close(P2, 183000.0) # Cone meter P2 = differential_pressure_meter_solver(D=0.07366, m=9.997923896460703, P1=200000.0, D2=0.05, rho=999.1, mu=0.0011, k=1.33, meter_type=CONE_METER) assert_close(P2, 183000.0) # Wedge meter P2 = differential_pressure_meter_solver(D=0.07366, m=8.941980099523539, P1=200000.0, D2=0.05, rho=999.1, mu=0.0011, k=1.33, meter_type=WEDGE_METER) assert_close(P2, 183000.0) def test_differential_pressure_meter_P1(): P1 = differential_pressure_meter_solver(D=0.07366, m=7.702338035732167, P2=183000.0, D2=0.05, rho=999.1, mu=0.0011, k=1.33, meter_type=ISO_5167_ORIFICE, taps='D') assert_close(P1, 200000) # Nozzle meters P1 = differential_pressure_meter_solver(D=0.07366, m=11.86828167015467, P2=183000.0, D2=0.05, rho=999.1, mu=0.0011, k=1.33, meter_type=LONG_RADIUS_NOZZLE) assert_close(P1, 200000) P1 = differential_pressure_meter_solver(D=0.07366, m=11.370262314304702, P2=183000.0, D2=0.05, rho=999.1, mu=0.0011, k=1.33, meter_type=ISA_1932_NOZZLE) assert_close(P1, 200000) P1 = differential_pressure_meter_solver(D=0.07366, m=11.471786198133566, P2=183000.0, D2=0.05, rho=999.1, mu=0.0011, k=1.33, meter_type=VENTURI_NOZZLE) assert_close(P1, 200000) # Venturi tubes P1 = differential_pressure_meter_solver(D=0.07366, m=11.867774156238344, P2=183000.0, D2=0.05, rho=999.1, mu=0.0011, k=1.33, meter_type=AS_CAST_VENTURI_TUBE) assert_close(P1, 200000) P1 = differential_pressure_meter_solver(D=0.07366, m=12.000442363269464, P2=183000.0, D2=0.05, rho=999.1, mu=0.0011, k=1.33, meter_type=MACHINED_CONVERGENT_VENTURI_TUBE) assert_close(P1, 200000) P1 = differential_pressure_meter_solver(D=0.07366, m=11.879834902332082, P2=183000.0, D2=0.05, rho=999.1, mu=0.0011, k=1.33, meter_type=ROUGH_WELDED_CONVERGENT_VENTURI_TUBE) assert_close(P1, 200000) # Cone meter P1 = differential_pressure_meter_solver(D=0.07366, m=9.997923896460703, P2=183000.0, D2=0.05, rho=999.1, mu=0.0011, k=1.33, meter_type=CONE_METER) assert_close(P1, 200000) # Wedge meter P1 = differential_pressure_meter_solver(D=0.07366, m=8.941980099523539, P2=183000.0, D2=0.05, rho=999.1, mu=0.0011, k=1.33, meter_type=WEDGE_METER) assert_close(P1, 200000) def test_differential_pressure_meter_solver_limits(): # ISO 5167 orifice - How low can P out go? P_out = differential_pressure_meter_solver(D=0.07366, m=7.702338, P1=200000.0, D2=0.0345, rho=999.1, mu=0.0011, k=1.33, meter_type='ISO 5167 orifice', taps='D') assert_close(P_out, 37914.15989971644) # same point D2_recalc = differential_pressure_meter_solver(D=0.07366, m=7.702338, P1=200000.0, P2=37914.15989971644, rho=999.1, mu=0.0011, k=1.33, meter_type='ISO 5167 orifice', taps='D') assert_close(D2_recalc, 0.0345) P1_recalc = differential_pressure_meter_solver(D=0.07366, m=7.702338, P2=37914.15989971644, D2=0.0345, rho=999.1, mu=0.0011, k=1.33, meter_type='ISO 5167 orifice', taps='D') assert_close(P1_recalc, 200000.0) m_recalc = differential_pressure_meter_solver(D=0.07366, P1=200000, P2=37914.15989971644, D2=0.0345, rho=999.1, mu=0.0011, k=1.33, meter_type='ISO 5167 orifice', taps='D') assert_close(m_recalc, 7.702338) def test_differential_pressure_meter_solver_misc(): # Test for types m_expect = 7.918128618951788 m = differential_pressure_meter_solver(D=0.07366, D2=0.05, P1=200000.0, P2=183000.0, rho=999.1, mu=0.0011, k=1.33, meter_type=MILLER_ECCENTRIC_ORIFICE, taps=ORIFICE_FLANGE_TAPS, tap_position=TAPS_SIDE) assert_close(m, m_expect) P1 = differential_pressure_meter_solver(m=7.918128618951788, D=0.07366, D2=0.05, P2=183000.0, rho=999.1, mu=0.0011, k=1.33, meter_type=MILLER_ECCENTRIC_ORIFICE, taps=ORIFICE_FLANGE_TAPS, tap_position=TAPS_SIDE) assert_close(P1, 200000) P2 = differential_pressure_meter_solver(m=7.918128618951788, D=0.07366, D2=0.05, P1=200000.0, rho=999.1, mu=0.0011, k=1.33, meter_type=MILLER_ECCENTRIC_ORIFICE, taps=ORIFICE_FLANGE_TAPS, tap_position=TAPS_SIDE) assert_close(P2, 183000) D2 = differential_pressure_meter_solver(m=7.918128618951788, D=0.07366, P1=200000.0, P2=183000.0, rho=999.1, mu=0.0011, k=1.33, meter_type=MILLER_ECCENTRIC_ORIFICE, taps=ORIFICE_FLANGE_TAPS, tap_position=TAPS_SIDE) assert_close(D2, 0.05) m = differential_pressure_meter_solver(D=0.07366, D2=0.05, P1=200000.0, P2=183000.0, rho=1.2, mu=0.00011, k=1.33, meter_type='ISO 5167 orifice', taps='D') assert_close(m, 0.2695835697819371) m_expect = 7.9299168920313425 m = differential_pressure_meter_solver(D=0.07366, D2=0.05, P1=200000.0, P2=183000.0, rho=999.1, mu=0.0011, k=1.33, meter_type='ISO 5167 orifice', taps='D', epsilon_specified=1) assert_close(m, m_expect) m = differential_pressure_meter_solver(D=0.07366, D2=0.05, P1=200000.0, P2=183000.0, rho=999.1, mu=0.0011, meter_type='ISO 5167 orifice', taps='D', epsilon_specified=1) assert_close(m, m_expect) def test_unspecified_meter_C_specified(): for t in ('unspecified meter', 'ISO 5167 orifice'): m = differential_pressure_meter_solver(D=0.07366, D2=0.05, P1=200000.0, P2=183000.0, rho=999.1, mu=0.0011, k=1.33, meter_type=t, taps='D', C_specified=0.6) assert_close(m, 7.512945567976503) D2 = differential_pressure_meter_solver(D=0.07366, m=7.512945567976503, D2=None, P1=200000.0, P2=183000.0, rho=999.1, mu=0.0011, k=1.33, meter_type=t, taps='D', C_specified=0.6) assert_close(D2, 0.05) P1 = differential_pressure_meter_solver(D=0.07366, D2=0.05, m=7.512945567976503, P2=183000.0, rho=999.1, mu=0.0011, k=1.33, meter_type=t, taps='D', C_specified=0.6) assert_close(P1, 200000.0) P2 = differential_pressure_meter_solver(D=0.07366, D2=0.05, m=7.512945567976503, P1=200000.0, rho=999.1, mu=0.0011, k=1.33, meter_type=t, taps='D', C_specified=0.6) assert_close(P2, 183000.0) with pytest.raises(ValueError): differential_pressure_meter_solver(D=0.07366, D2=0.05, P1=200000.0, P2=183000.0, rho=999.1, mu=0.0011, k=1.33, meter_type='unspecified meter', taps='D', C_specified=None) def test_C_eccentric_orifice_ISO_15377_1998(): C = C_eccentric_orifice_ISO_15377_1998(.2, .075) assert_close(C, 0.6351923828125) # Does not perfectly match - like error in ISO. D = 1.0 betas = [1e-2*i for i in range(46, 85, 1)] Cs_expect = [0.627, 0.627, 0.627, 0.627, 0.627, 0.627, 0.627, 0.627, 0.627, 0.628, 0.628, 0.628, 0.628, 0.629, 0.629, 0.629, 0.629, 0.629, 0.629, 0.629, 0.629, 0.629, 0.628, 0.628, 0.627, 0.626, 0.625, 0.624, 0.623, 0.621, 0.620, 0.618, 0.616, 0.613, 0.611, 0.608, 0.605, 0.601, 0.597] Cs_calc = [C_eccentric_orifice_ISO_15377_1998(D=D, Do=beta_i) for beta_i in betas] for Ci, Cj in zip(Cs_expect, Cs_calc): assert isclose(Ci, Cj, rel_tol=1.02e-3) def test_C_quarter_circle_orifice_ISO_15377_1998(): C = C_quarter_circle_orifice_ISO_15377_1998(.2, .075) assert_close(C, 0.7785148437500001, rtol=1e-12) betas = [0.245, 0.250, 0.260, 0.270, 0.280, 0.290, 0.300, 0.310, 0.320, 0.330, 0.340, 0.350, 0.360, 0.370, 0.380, 0.390, 0.400, 0.410, 0.420, 0.430, 0.440, 0.450, 0.460, 0.470, 0.480, 0.490, 0.500, 0.510, 0.520, 0.530, 0.540, 0.550, 0.560, 0.570, 0.580, 0.590, 0.600] Cs_expect = [0.772, 0.772, 0.772, 0.773, 0.773, 0.773, 0.774, 0.774, 0.775, 0.775, 0.776, 0.776, 0.777, 0.778, 0.779, 0.780, 0.781, 0.783, 0.784, 0.786, 0.787, 0.789, 0.791, 0.794, 0.796, 0.799, 0.802, 0.805, 0.808, 0.812, 0.816, 0.820, 0.824, 0.829, 0.834, 0.839, 0.844] for Do, C_expect in zip(betas, Cs_expect): C = C_quarter_circle_orifice_ISO_15377_1998(D=1, Do=Do) assert (round(C, 3) == C_expect) def test_K_to_discharge_coefficient(): C = K_to_discharge_coefficient(D=0.07366, Do=0.05, K=5.2314291729754) assert_close(C, 0.6151200000000001) def test_discharge_coefficient_to_K(): K = discharge_coefficient_to_K(D=0.07366, Do=0.05, C=0.61512) assert_close(K, 5.2314291729754) def test_dP_orifice(): dP = dP_orifice(D=0.07366, Do=0.05, P1=200000.0, P2=183000.0, C=0.61512) assert_close(dP, 9069.474705745388) def test_velocity_of_approach_factor(): factor = velocity_of_approach_factor(D=0.0739, Do=0.0222) assert_close(factor, 1.0040970074165514) def test_flow_coefficient(): factor = flow_coefficient(D=0.0739, Do=0.0222, C=0.6) assert_close(factor, 0.6024582044499308) def test_nozzle_expansibility(): epsilon = nozzle_expansibility(D=0.0739, Do=0.0222, P1=1E5, P2=9.9E4, k=1.4) assert_close(epsilon, 0.9945702344566746) assert_close(nozzle_expansibility(D=0.0739, Do=0.0222, P1=1E5, P2=1e5, k=1.4), 1, rtol=1e-14) assert_close(nozzle_expansibility(D=0.0739, Do=0.0222, P1=1E5, P2=9.9E4, k=1), 0.9924074233062772, rtol=1e-13) def test_C_long_radius_nozzle(): C = C_long_radius_nozzle(D=0.07391, Do=0.0422, rho=1.2, mu=1.8E-5, m=0.1) assert_close(C, 0.9805503704679863) def test_C_ISA_1932_nozzle(): C = C_ISA_1932_nozzle(D=0.07391, Do=0.0422, rho=1.2, mu=1.8E-5, m=0.1) assert_close(C, 0.9635849973250495) def test_C_venturi_nozzle(): C = C_venturi_nozzle(D=0.07391, Do=0.0422) assert_close(C, 0.9698996454169576) def test_diameter_ratio_cone_meter(): beta = diameter_ratio_cone_meter(D=0.2575, Dc=0.184) assert_close(beta, 0.6995709873957624) # Example in 1 matches exactly; beta = diameter_ratio_cone_meter(D=10.137*inch, Dc=7.244*inch) assert_close(beta, 0.6995232442563669) def test_diameter_ratio_wedge_meter(): beta = diameter_ratio_wedge_meter(D=6.065*inch, H=1.82*inch) assert_close(beta, 0.5024062047655528) beta = diameter_ratio_wedge_meter(D=7.981*inch, H=3.192*inch) assert_close(beta, 0.6111198863284705) beta = diameter_ratio_wedge_meter(D=7.981*inch, H=2.394*inch) assert_close(beta, 0.5022667856496335) def test_cone_meter_expansibility_Stewart(): eps = cone_meter_expansibility_Stewart(D=1, Dc=0.8930285549745876, P1=1E6, P2=1E6*.85, k=1.2) assert_close(eps, 0.91530745625) def test_wedge_meter_expansibility(): data = [[1.0000, 0.9871, 0.9741, 0.9610, 0.9478, 0.9345, 0.9007, 0.8662, 0.8308], [1.0000, 0.9863, 0.9726, 0.9588, 0.9449, 0.9310, 0.8957, 0.8599, 0.8234], [1.0000, 0.9848, 0.9696, 0.9544, 0.9393, 0.9241, 0.8860, 0.8479, 0.8094], [1.0000, 0.9820, 0.9643, 0.9467, 0.9292, 0.9119, 0.8692, 0.8272, 0.7857], [1.0000, 0.9771, 0.9547, 0.9329, 0.9117, 0.8909, 0.8408, 0.7930, 0.7472]] h_ds = [0.2, 0.3, 0.4, 0.5, 0.6] pressure_ratios = [1.0, 0.98, 0.96, 0.94, 0.92, 0.9, 0.85, 0.8, 0.75] calculated = [] for i, h_d in enumerate(h_ds): row = [] beta = diameter_ratio_wedge_meter(D=1, H=h_d) for j, p_ratio in enumerate(pressure_ratios): ans = nozzle_expansibility(D=1, Do=h_d, P1=1E5, P2=1E5*p_ratio, k=1.2, beta=beta) row.append(ans) calculated.append(row) assert_close2d(data, calculated, rtol=1e-4) def test_dP_wedge_meter(): dP = dP_wedge_meter(1, .7, 1E6, 9.5E5) assert_close(dP, 20344.849697483587) def test_dP_cone_meter(): dP = dP_cone_meter(1, .7, 1E6, 9.5E5) assert_close(dP, 25470.093437973323) def test_C_wedge_meter_Miller(): # Large bore D = 0.15239999999999998 C = C_wedge_meter_Miller(D=D, H=0.3*D) assert_close(C, 0.7267069372687651) # Tiny bore C = C_wedge_meter_Miller(D=.6*inch, H=0.3*.6*inch) assert_close(C, 0.8683022107124251) # Medium bore C = C_wedge_meter_Miller(D=1.3*inch, H=0.3*1.3*inch) assert_close(C, 1.15113726440674) def test_C_wedge_meter_ISO_5167_6_2017(): C = C_wedge_meter_ISO_5167_6_2017(D=0.1524, H=0.3*0.1524) assert_close(C, 0.724792059539853) def test_dP_venturi_tube(): dP = dP_venturi_tube(D=0.07366, Do=0.05, P1=200000.0, P2=183000.0) assert_close(dP, 1788.5717754177406) def test_C_Reader_Harris_Gallagher_wet_venturi_tube(): # Example 1 # Works don't change anything C = C_Reader_Harris_Gallagher_wet_venturi_tube(mg=5.31926, ml=5.31926/2, rhog=50.0, rhol=800., D=.1, Do=.06, H=1) assert_close(C, 0.9754210845876333) # From ISO 5167-4:2003, 5.6, # epsilon = 0.994236 # nozzle_expansibility, orifice_expansibility epsilon = nozzle_expansibility(D=.1, Do=.06, P1=60E5, P2=59.5E5, k=1.3) assert_close(epsilon, 0.994236, rtol=0, atol=.0000001) # Example 2 # Had to solve backwards to get ml, but C checks out perfectly C = C_Reader_Harris_Gallagher_wet_venturi_tube(ml=0.434947009566078, mg=6.3817, rhog=50.0, rhol=1000., D=.1, Do=.06, H=1.35) # Don't know what the ml is # 0,976 992 is C assert_close(C, 0.9769937323602329) def test_dP_Reader_Harris_Gallagher_wet_venturi_tube(): dP = dP_Reader_Harris_Gallagher_wet_venturi_tube(ml=5.31926/2, mg=5.31926, rhog=50.0, rhol=800., D=.1, Do=.06, H=1.0, P1=6E6, P2=6E6-5E4) assert_close(dP, 16957.43843129572) def test_differential_pressure_meter_dP(): for m in [AS_CAST_VENTURI_TUBE, MACHINED_CONVERGENT_VENTURI_TUBE, ROUGH_WELDED_CONVERGENT_VENTURI_TUBE, HOLLINGSHEAD_VENTURI_SMOOTH, HOLLINGSHEAD_VENTURI_SHARP]: dP = differential_pressure_meter_dP(D=0.07366, D2=0.05, P1=200000.0, P2=183000.0, meter_type=m) assert_close(dP, 1788.5717754177406) dP = differential_pressure_meter_dP(D=0.07366, D2=0.05, P1=200000.0, P2=183000.0, C=0.61512, meter_type=ISO_5167_ORIFICE) assert_close(dP, 9069.474705745388) dP = differential_pressure_meter_dP(D=0.07366, D2=0.05, P1=200000.0, P2=183000.0, C=0.61512, meter_type=LONG_RADIUS_NOZZLE) assert_close(dP, 9069.474705745388) dP = differential_pressure_meter_dP(D=0.07366, D2=0.05, P1=200000.0, P2=183000.0, C=0.61512, meter_type=ISA_1932_NOZZLE) assert_close(dP, 9069.474705745388) for m in (CONE_METER, HOLLINGSHEAD_CONE): dP = differential_pressure_meter_dP(D=0.07366, D2=0.05, P1=200000.0, P2=183000.0, meter_type=m) assert_close(dP, 8380.848307054845) for m in (WEDGE_METER, HOLLINGSHEAD_WEDGE): dP = differential_pressure_meter_dP(D=0.07366, D2=0.05, P1=200000.0, P2=183000.0, meter_type=m) assert_close(dP, 7112.927753356824) with pytest.raises(Exception): differential_pressure_meter_dP(D=0.07366, D2=0.05, P1=200000.0, P2=183000.0, meter_type=VENTURI_NOZZLE) with pytest.raises(ValueError): differential_pressure_meter_dP(D=0.07366, D2=0.05, P1=200000.0, P2=183000.0, meter_type='NOTAMETER') def test_differential_pressure_meter_beta(): beta = differential_pressure_meter_beta(D=0.2575, D2=0.184, meter_type=LONG_RADIUS_NOZZLE) assert_close(beta, 0.7145631067961165) beta = differential_pressure_meter_beta(D=0.2575, D2=0.184, meter_type=WEDGE_METER) assert_close(beta, 0.8743896375172885) beta = differential_pressure_meter_beta(D=0.2575, D2=0.184, meter_type=CONE_METER) assert_close(beta, 0.6995709873957624) with pytest.raises(ValueError): differential_pressure_meter_beta(D=0.07366, D2=0.05, meter_type='NOTAMETER') assert_close(differential_pressure_meter_beta(D=0.2575, D2=0.184, meter_type=HOLLINGSHEAD_CONE), differential_pressure_meter_beta(D=0.2575, D2=0.184, meter_type=CONE_METER)) assert_close(differential_pressure_meter_beta(D=0.2575, D2=0.184, meter_type=HOLLINGSHEAD_WEDGE), differential_pressure_meter_beta(D=0.2575, D2=0.184, meter_type=WEDGE_METER)) def test_cone_meter_expansibility_Stewart_full(): err = lambda Dc, beta : diameter_ratio_cone_meter(D=1, Dc=Dc) - beta solve_Dc = lambda beta : float(secant(err, .7, args=(beta,))) # Accidentally missed the beta ratio 0.75, oops vals = [[1.0000, 0.9887, 0.9774, 0.9661, 0.9548, 0.9435, 0.9153, 0.8871, 0.8588], [1.0000, 0.9885, 0.9769, 0.9654, 0.9538, 0.9423, 0.9134, 0.8846, 0.8557], [1.0000, 0.9881, 0.9762, 0.9644, 0.9525, 0.9406, 0.9109, 0.8812, 0.8515], [1.0000, 0.9877, 0.9754, 0.9630, 0.9507, 0.9384, 0.9076, 0.8768, 0.8460], [1.0000, 0.9871, 0.9742, 0.9613, 0.9485, 0.9356, 0.9033, 0.8711, 0.8389], [1.0000, 0.9864, 0.9728, 0.9592, 0.9456, 0.9320, 0.8980, 0.8640, 0.8300]] pressure_ratios = [1, 0.98, 0.96, 0.94, 0.92, 0.9, 0.85, 0.8, 0.75] betas = [.45, .5, .55, .6, .65, .7, .75] k = 1.2 for i, beta in enumerate(betas[:-1]): Dc = solve_Dc(beta) for j, pr in enumerate(pressure_ratios): eps = cone_meter_expansibility_Stewart(D=1, Dc=Dc, P1=1E5, P2=pr*1E5, k=1.2) eps = round(eps, 4) assert eps == vals[i][j] def test_C_ISA_1932_nozzle_full(): Cs = [[0.9616, 0.9692, 0.9750, 0.9773, 0.9789, 0.9813, 0.9820, 0.9821, 0.9822], [0.9604, 0.9682, 0.9741, 0.9764, 0.9781, 0.9805, 0.9812, 0.9813, 0.9814], [0.9592, 0.9672, 0.9731, 0.9755, 0.9773, 0.9797, 0.9804, 0.9805, 0.9806], [0.9579, 0.9661, 0.9722, 0.9746, 0.9763, 0.9788, 0.9795, 0.9797, 0.9797], [0.9567, 0.9650, 0.9711, 0.9736, 0.9754, 0.9779, 0.9786, 0.9787, 0.9788], [0.9554, 0.9638, 0.9700, 0.9726, 0.9743, 0.9769, 0.9776, 0.9777, 0.9778], [0.9542, 0.9626, 0.9689, 0.9715, 0.9733, 0.9758, 0.9766, 0.9767, 0.9768], [0.9529, 0.9614, 0.9678, 0.9703, 0.9721, 0.9747, 0.9754, 0.9756, 0.9757], [0.9516, 0.9602, 0.9665, 0.9691, 0.9709, 0.9735, 0.9743, 0.9744, 0.9745], [0.9503, 0.9589, 0.9653, 0.9678, 0.9696, 0.9722, 0.9730, 0.9731, 0.9732], [0.9490, 0.9576, 0.9639, 0.9665, 0.9683, 0.9709, 0.9717, 0.9718, 0.9719], [0.9477, 0.9562, 0.9626, 0.9651, 0.9669, 0.9695, 0.9702, 0.9704, 0.9705], [0.9464, 0.9548, 0.9611, 0.9637, 0.9655, 0.9680, 0.9688, 0.9689, 0.9690], [0.9451, 0.9534, 0.9596, 0.9621, 0.9639, 0.9664, 0.9672, 0.9673, 0.9674], [0.9438, 0.9520, 0.9581, 0.9606, 0.9623, 0.9648, 0.9655, 0.9656, 0.9657], [0.9424, 0.9505, 0.9565, 0.9589, 0.9606, 0.9630, 0.9638, 0.9639, 0.9640], [0.9411, 0.9490, 0.9548, 0.9572, 0.9588, 0.9612, 0.9619, 0.9620, 0.9621], [0.9398, 0.9474, 0.9531, 0.9554, 0.9570, 0.9593, 0.9600, 0.9601, 0.9602], [0.9385, 0.9458, 0.9513, 0.9535, 0.9550, 0.9573, 0.9579, 0.9580, 0.9581], [0.9371, 0.9442, 0.9494, 0.9515, 0.9530, 0.9551, 0.9558, 0.9559, 0.9560], [0.9358, 0.9425, 0.9475, 0.9495, 0.9509, 0.9529, 0.9535, 0.9536, 0.9537], [0.9345, 0.9408, 0.9455, 0.9473, 0.9487, 0.9506, 0.9511, 0.9512, 0.9513], [0.9332, 0.9390, 0.9434, 0.9451, 0.9464, 0.9481, 0.9487, 0.9487, 0.9488], [0.9319, 0.9372, 0.9412, 0.9428, 0.9440, 0.9456, 0.9460, 0.9461, 0.9462], [0.9306, 0.9354, 0.9390, 0.9404, 0.9414, 0.9429, 0.9433, 0.9434, 0.9435], [0.9293, 0.9335, 0.9367, 0.9379, 0.9388, 0.9401, 0.9405, 0.9405, 0.9406], [0.9280, 0.9316, 0.9343, 0.9353, 0.9361, 0.9372, 0.9375, 0.9375, 0.9376], [0.9268, 0.9296, 0.9318, 0.9326, 0.9332, 0.9341, 0.9344, 0.9344, 0.9344], [0.9255, 0.9276, 0.9292, 0.9298, 0.9303, 0.9309, 0.9311, 0.9311, 0.9312], [0.9243, 0.9256, 0.9265, 0.9269, 0.9272, 0.9276, 0.9277, 0.9277, 0.9278], [0.9231, 0.9235, 0.9238, 0.9239, 0.9240, 0.9241, 0.9242, 0.9242, 0.9242], [0.9219, 0.9213, 0.9209, 0.9208, 0.9207, 0.9205, 0.9205, 0.9205, 0.9205], [0.9207, 0.9192, 0.9180, 0.9176, 0.9172, 0.9168, 0.9166, 0.9166, 0.9166], [0.9195, 0.9169, 0.9150, 0.9142, 0.9136, 0.9128, 0.9126, 0.9126, 0.9125], [0.9184, 0.9147, 0.9118, 0.9107, 0.9099, 0.9088, 0.9084, 0.9084, 0.9083], [0.9173, 0.9123, 0.9086, 0.9071, 0.9060, 0.9045, 0.9041, 0.9040, 0.9040], [0.9162, 0.9100, 0.9053, 0.9034, 0.9020, 0.9001, 0.8996, 0.8995, 0.8994]] def C_ISA_1932_nozzle(D, Do, Re_D): beta = Do/D C = (0.9900 - 0.2262*beta**4.1 - (0.00175*beta**2 - 0.0033*beta**4.15)*(1E6/Re_D)**1.15) return C Rd_values = [2E4, 3E4, 5E4, 7E4, 1E5, 3E5, 1E6, 2E6, 1E7] betas = [i/100. for i in range(44, 81)] for i in range(len(betas)): Cs_expect = Cs[i] beta = betas[i] Cs_calc = [round(C_ISA_1932_nozzle(D=1, Do=beta, Re_D=i), 4) for i in Rd_values] assert_close1d(Cs_expect, Cs_calc, atol=1E-4) # There were three typos in there in the values for beta of 0.77 or 0.78. # values: 0.9215, 0.9412, 0.9803 def test_C_long_radius_nozzle_full(): Cs = [[0.9673, 0.9759, 0.9834, 0.9873, 0.9900, 0.9924, 0.9936, 0.9952, 0.9956], [0.9659, 0.9748, 0.9828, 0.9868, 0.9897, 0.9922, 0.9934, 0.9951, 0.9955], [0.9645, 0.9739, 0.9822, 0.9864, 0.9893, 0.9920, 0.9933, 0.9951, 0.9955], [0.9632, 0.9730, 0.9816, 0.9860, 0.9891, 0.9918, 0.9932, 0.9950, 0.9954], [0.9619, 0.9721, 0.9810, 0.9856, 0.9888, 0.9916, 0.9930, 0.9950, 0.9954], [0.9607, 0.9712, 0.9805, 0.9852, 0.9885, 0.9914, 0.9929, 0.9949, 0.9954], [0.9596, 0.9704, 0.9800, 0.9848, 0.9882, 0.9913, 0.9928, 0.9948, 0.9953], [0.9584, 0.9696, 0.9795, 0.9845, 0.9880, 0.9911, 0.9927, 0.9948, 0.9953], [0.9573, 0.9688, 0.9790, 0.9841, 0.9877, 0.9910, 0.9926, 0.9947, 0.9953], [0.9562, 0.9680, 0.9785, 0.9838, 0.9875, 0.9908, 0.9925, 0.9947, 0.9952], [0.9552, 0.9673, 0.9780, 0.9834, 0.9873, 0.9907, 0.9924, 0.9947, 0.9952], [0.9542, 0.9666, 0.9776, 0.9831, 0.9870, 0.9905, 0.9923, 0.9946, 0.9952], [0.9532, 0.9659, 0.9771, 0.9828, 0.9868, 0.9904, 0.9922, 0.9946, 0.9951], [0.9523, 0.9652, 0.9767, 0.9825, 0.9866, 0.9902, 0.9921, 0.9945, 0.9951], [0.9513, 0.9645, 0.9763, 0.9822, 0.9864, 0.9901, 0.9920, 0.9945, 0.9951], [0.9503, 0.9639, 0.9759, 0.9819, 0.9862, 0.9900, 0.9919, 0.9944, 0.9950], [0.9499, 0.9635, 0.9756, 0.9818, 0.9861, 0.9899, 0.9918, 0.9944, 0.9950], [0.9494, 0.9632, 0.9754, 0.9816, 0.9860, 0.9898, 0.9918, 0.9944, 0.9950], [0.9490, 0.9629, 0.9752, 0.9815, 0.9859, 0.9898, 0.9917, 0.9944, 0.9950], [0.9485, 0.9626, 0.9750, 0.9813, 0.9858, 0.9897, 0.9917, 0.9944, 0.9950], [0.9481, 0.9623, 0.9748, 0.9812, 0.9857, 0.9897, 0.9917, 0.9943, 0.9950], [0.9476, 0.9619, 0.9746, 0.9810, 0.9856, 0.9896, 0.9916, 0.9943, 0.9950], [0.9472, 0.9616, 0.9745, 0.9809, 0.9855, 0.9895, 0.9916, 0.9943, 0.9949], [0.9468, 0.9613, 0.9743, 0.9808, 0.9854, 0.9895, 0.9915, 0.9943, 0.9949], [0.9463, 0.9610, 0.9741, 0.9806, 0.9853, 0.9894, 0.9915, 0.9943, 0.9949], [0.9459, 0.9607, 0.9739, 0.9805, 0.9852, 0.9893, 0.9914, 0.9942, 0.9949], [0.9455, 0.9604, 0.9737, 0.9804, 0.9851, 0.9893, 0.9914, 0.9942, 0.9949], [0.9451, 0.9601, 0.9735, 0.9802, 0.9850, 0.9892, 0.9914, 0.9942, 0.9949], [0.9447, 0.9599, 0.9733, 0.9801, 0.9849, 0.9892, 0.9913, 0.9942, 0.9949], [0.9443, 0.9596, 0.9731, 0.9800, 0.9848, 0.9891, 0.9913, 0.9942, 0.9948], [0.9439, 0.9593, 0.9730, 0.9799, 0.9847, 0.9891, 0.9912, 0.9941, 0.9948], [0.9435, 0.9590, 0.9728, 0.9797, 0.9846, 0.9890, 0.9912, 0.9941, 0.9948], [0.9430, 0.9587, 0.9726, 0.9796, 0.9845, 0.9889, 0.9912, 0.9941, 0.9948], [0.9427, 0.9584, 0.9724, 0.9795, 0.9845, 0.9889, 0.9911, 0.9941, 0.9948], [0.9423, 0.9581, 0.9722, 0.9793, 0.9844, 0.9888, 0.9911, 0.9941, 0.9948], [0.9419, 0.9579, 0.9721, 0.9792, 0.9843, 0.9888, 0.9910, 0.9941, 0.9948], [0.9415, 0.9576, 0.9719, 0.9791, 0.9842, 0.9887, 0.9910, 0.9940, 0.9948], [0.9411, 0.9573, 0.9717, 0.9790, 0.9841, 0.9887, 0.9910, 0.9940, 0.9947], [0.9407, 0.9570, 0.9715, 0.9789, 0.9840, 0.9886, 0.9909, 0.9940, 0.9947], [0.9403, 0.9568, 0.9714, 0.9787, 0.9839, 0.9886, 0.9909, 0.9940, 0.9947], [0.9399, 0.9565, 0.9712, 0.9786, 0.9839, 0.9885, 0.9908, 0.9940, 0.9947], [0.9396, 0.9562, 0.9710, 0.9785, 0.9838, 0.9884, 0.9908, 0.9940, 0.9947], [0.9392, 0.9560, 0.9709, 0.9784, 0.9837, 0.9884, 0.9908, 0.9939, 0.9947], [0.9388, 0.9557, 0.9707, 0.9783, 0.9836, 0.9883, 0.9907, 0.9939, 0.9947], [0.9385, 0.9555, 0.9705, 0.9781, 0.9835, 0.9883, 0.9907, 0.9939, 0.9947], [0.9381, 0.9552, 0.9704, 0.9780, 0.9834, 0.9882, 0.9907, 0.9939, 0.9947]] Rd_values = [1E4, 2E4, 5E4, 1E5, 2E5, 5E5, 1E6, 5E6, 1E7] betas = [i/100. for i in list(range(20, 51, 2)) + list(range(51, 81))] def C_long_radius_nozzle(D, Do, Re_D): beta = Do/D return 0.9965 - 0.00653*beta**0.5*(1E6/Re_D)**0.5 for i in range(len(betas)): Cs_expect = Cs[i] beta = betas[i] Cs_calc = [round(C_long_radius_nozzle(D=1, Do=beta, Re_D=i), 4) for i in Rd_values] assert_close1d(Cs_expect, Cs_calc, atol=1E-4) # Errata: # 0.9834 to 0.9805 # 0.9828 to 9800 # 0.9822 to 0.9795 # 0.9816 to 0.979 # 0.981 to 0.9785 # 0.9805 to 0.9780 # 0.98 to 0.9776 # 0.9795 to 0.9771 # 0.979 to 0.9767 # 0.9785 to 0.9763 # 9.9607 to 0.9607 # 0.9875 to 0.9785 def test_C_venturi_nozzle_full(): # Many values do not match well, but the equation has been checked with both standards. betas = [0.32, 0.32, 0.33, 0.34, 0.35, 0.36, 0.37, 0.38, 0.39, 0.40, 0.41, 0.42, 0.43, 0.44, 0.45, 0.46, 0.47, 0.48, 0.49, 0.50, 0.51, 0.52, 0.53, 0.54, 0.55, 0.56, 0.57, 0.58, 0.59, 0.60, 0.61, 0.62, 0.63, 0.64, 0.65, 0.66, 0.67, 0.68, 0.69, 0.70, 0.71, 0.72, 0.73, 0.74, 0.75, 0.76, 0.77, 0.78] Cs = [0.9847, 0.9846, 0.9845, 0.9843, 0.9841, 0.9838, 0.9836, 0.9833, 0.9830, 0.9826, 0.9823, 0.9818, 0.9814, 0.9809, 0.9804, 0.9798, 0.9792, 0.9786, 0.9779, 0.9771, 0.9763, 0.9755, 0.9745, 0.9736, 0.9725, 0.9714, 0.9702, 0.9689, 0.9676, 0.9661, 0.9646, 0.9630, 0.9613, 0.9595, 0.9576, 0.9556, 0.9535, 0.9512, 0.9489, 0.9464, 0.9438, 0.9411, 0.9382, 0.9352, 0.9321, 0.9288, 0.9253, 0.9236] Cs_calc = [C_venturi_nozzle(D=1, Do=beta) for beta in betas] assert_close1d(Cs, Cs_calc, rtol=5E-3) def test_differential_pressure_meter_C_epsilon(): # Some random cases C, eps = differential_pressure_meter_C_epsilon(D=0.07366, D2=0.05, P1=200000.0, P2=183000.0, rho=999.1, mu=0.0011, k=1.33, m=7.702338035732168, meter_type=ISO_15377_ECCENTRIC_ORIFICE) assert_close(C, 0.6284616939680627) assert_close(eps, 0.9711026966676307) C, eps = differential_pressure_meter_C_epsilon(D=0.07366, D2=0.05, P1=200000.0, P2=183000.0, rho=999.1, mu=0.0011, k=1.33, m=7.702338035732168, meter_type=ISO_15377_QUARTER_CIRCLE_ORIFICE) assert_close(C, 0.899402420975695) assert_close(eps, 0.9711026966676307) C, eps = differential_pressure_meter_C_epsilon(D=0.07366, D2=0.05, P1=200000.0, P2=183000.0, rho=999.1, mu=0.0011, k=1.33, m=7.702338035732168, meter_type=ISO_15377_CONICAL_ORIFICE) assert_close(C, 0.734) assert_close(eps, 0.9532330165749132) C, eps = differential_pressure_meter_C_epsilon(D=0.07366, D2=0.05, P1=200000.0, P2=183000.0, rho=999.1, mu=0.0011, k=1.33, m=7.702338035732168, meter_type=MILLER_ORIFICE, taps='corner') assert_close(C, 0.6068011224659587) assert_close(eps, 0.9711026966676307) C, eps = differential_pressure_meter_C_epsilon(D=0.07366, D2=0.05, P1=200000.0, P2=183000.0, rho=999.1, mu=0.0011, k=1.33, m=7.702338035732168, meter_type=MILLER_CONICAL_ORIFICE) assert_close(C, 0.73) assert_close(eps, 0.9532330165749132) # Test one case of the default translation C, eps = differential_pressure_meter_C_epsilon(D=0.07366, D2=0.05, P1=200000.0, P2=183000.0, rho=999.1, mu=0.0011, k=1.33, m=7.702338035732168,taps='corner', meter_type=CONCENTRIC_ORIFICE) C_iso, eps_iso = differential_pressure_meter_C_epsilon(D=0.07366, D2=0.05, P1=200000.0, P2=183000.0, rho=999.1, mu=0.0011, k=1.33, m=7.702338035732168,taps='corner', meter_type=CONCENTRIC_ORIFICE) assert C == C_iso assert eps == eps_iso with pytest.raises(ValueError): differential_pressure_meter_C_epsilon(D=0.07366, D2=0.05, P1=200000.0, P2=183000.0, rho=999.1, mu=0.0011, k=1.33, m=7.702338035732168, meter_type='NOTAREAMETER') C, eps = differential_pressure_meter_C_epsilon(D=0.07366, D2=0.05, P1=200000.0, P2=183000.0, rho=999.1, mu=0.0011, k=1.33, m=.01, meter_type=HOLLINGSHEAD_ORIFICE) assert_close(C, 0.7809066489631418) C, eps = differential_pressure_meter_C_epsilon(D=0.07366, D2=0.05, P1=200000.0, P2=183000.0, rho=999.1, mu=0.0011, k=1.33, m=.01, meter_type=HOLLINGSHEAD_VENTURI_SMOOTH) assert_close(C, 0.7765555753764869) C, eps = differential_pressure_meter_C_epsilon(D=0.07366, D2=0.05, P1=200000.0, P2=183000.0, rho=999.1, mu=0.0011, k=1.33, m=.01, meter_type=HOLLINGSHEAD_VENTURI_SHARP) assert_close(C, 0.7710760458207614) C, eps = differential_pressure_meter_C_epsilon(D=0.07366, D2=0.05, P1=200000.0, P2=183000.0, rho=999.1, mu=0.0011, k=1.33, m=.01, meter_type=HOLLINGSHEAD_CONE) assert_close(C, 0.5796605776735264) C, eps = differential_pressure_meter_C_epsilon(D=0.07366, D2=0.025, P1=200000.0, P2=183000.0, rho=999.1, mu=0.0011, k=1.33, m=.01, meter_type=HOLLINGSHEAD_WEDGE) assert_close(C, 0.7002380207294499) def test_issue_49(): kwargs = {'D': 0.36, 'rho': 39.6, 'mu': 1.32e-05, 'k': 1.3,'D2': 0.28,'P1': 5000000.0, 'P2': 4995000.0, 'meter_type': 'long radius nozzle'} massflow = differential_pressure_meter_solver(kwargs['D'], kwargs['rho'], kwargs['mu'], kwargs['k'], kwargs['D2'], kwargs['P1'], kwargs['P2'], meter_type=kwargs['meter_type']) assert_close(massflow, 48.36465032864742) @pytest.mark.fuzz @pytest.mark.slow def test_fuzz_K_to_discharge_coefficient(): ''' # Testing the different formulas from sympy import * C, beta, K = symbols('C, beta, K') expr = Eq(K, (sqrt(1 - beta**4*(1 - C*C))/(C*beta**2) - 1)**2) solns = solve(expr, C) [i.subs({'K': 5.2314291729754, 'beta': 0.05/0.07366}) for i in solns] [-sqrt(-beta**4/(-2*sqrt(K)*beta**4 + K*beta**4) + 1/(-2*sqrt(K)*beta**4 + K*beta**4)), sqrt(-beta**4/(-2*sqrt(K)*beta**4 + K*beta**4) + 1/(-2*sqrt(K)*beta**4 + K*beta**4)), -sqrt(-beta**4/(2*sqrt(K)*beta**4 + K*beta**4) + 1/(2*sqrt(K)*beta**4 + K*beta**4)), sqrt(-beta**4/(2*sqrt(K)*beta**4 + K*beta**4) + 1/(2*sqrt(K)*beta**4 + K*beta**4))] # Getting the formula from sympy import * C, beta, K = symbols('C, beta, K') expr = Eq(K, (sqrt(1 - beta**4*(1 - C*C))/(C*beta**2) - 1)**2) print(latex(solve(expr, C)[3])) ''' Ds = logspace(log10(1-1E-9), log10(1E-9), 8) for D_ratio in Ds: Ks = logspace(log10(1E-9), log10(50000), 8) Ks_recalc = [] for K in Ks: C = K_to_discharge_coefficient(D=1.0, Do=D_ratio, K=K) K_calc = discharge_coefficient_to_K(D=1.0, Do=D_ratio, C=C) Ks_recalc.append(K_calc) assert_close1d(Ks, Ks_recalc) @pytest.mark.scipy @pytest.mark.slow def test_orifice_std_Hollingshead_fit(): from scipy.interpolate import RectBivariateSpline, bisplev from fluids.flow_meter import orifice_std_Hollingshead_tck, orifice_std_logRes_Hollingshead, orifice_std_betas_Hollingshead, orifice_std_Hollingshead_Cs import numpy as np obj = RectBivariateSpline(orifice_std_betas_Hollingshead, orifice_std_logRes_Hollingshead, np.array(orifice_std_Hollingshead_Cs), s=0, kx=3, ky=3) assert_close(obj(.55, log(1e3))[0][0], bisplev(.55, log(1e3), orifice_std_Hollingshead_tck)) assert_close1d(obj.tck[0], orifice_std_Hollingshead_tck[0]) assert_close1d(obj.tck[1], orifice_std_Hollingshead_tck[1]) assert_close1d(obj.tck[2], orifice_std_Hollingshead_tck[2]) @pytest.mark.scipy @pytest.mark.slow def test_wedge_Hollingshead_fit(): from scipy.interpolate import RectBivariateSpline, bisplev import numpy as np from fluids.flow_meter import wedge_betas_Hollingshead, wedge_logRes_Hollingshead, wedge_Hollingshead_Cs, wedge_Hollingshead_tck obj = RectBivariateSpline(wedge_betas_Hollingshead, wedge_logRes_Hollingshead, np.array(wedge_Hollingshead_Cs), s=0, kx=1, ky=3) assert_close(obj(.55, log(1e4)), bisplev(.55, log(1e4), wedge_Hollingshead_tck)) assert_close1d(obj.tck[0], wedge_Hollingshead_tck[0]) assert_close1d(obj.tck[1], wedge_Hollingshead_tck[1]) assert_close1d(obj.tck[2], wedge_Hollingshead_tck[2]) @pytest.mark.scipy @pytest.mark.slow def test_cone_Hollingshead_fit(): from scipy.interpolate import RectBivariateSpline, bisplev import numpy as np from fluids.flow_meter import cone_logRes_Hollingshead, cone_betas_Hollingshead, cone_Hollingshead_Cs, cone_Hollingshead_tck obj = RectBivariateSpline(cone_betas_Hollingshead, cone_logRes_Hollingshead, np.array(cone_Hollingshead_Cs), s=0, kx=2, ky=3) assert_close(obj(.77, log(1e4)), bisplev(.77, log(1e4), cone_Hollingshead_tck)) assert_close1d(obj.tck[0], cone_Hollingshead_tck[0]) assert_close1d(obj.tck[1], cone_Hollingshead_tck[1]) assert_close1d(obj.tck[2], cone_Hollingshead_tck[2]) fluids-1.0.22/tests/test_jet_pump.py0000644000175000017500000003132414302004506017003 0ustar nileshnilesh# -*- coding: utf-8 -*- '''Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2018 Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.''' from __future__ import division from fluids import * from fluids.constants import mmHg, atm from fluids.numerics import linspace, assert_close, assert_close1d import pytest def test_liquid_jet_pump_ancillary(): # This equation has been checked from theory 2018-05-08 - it is # confirmed to be correct more than the large one!!! rhop=998. rhos=1098. Ks=0.11 Kp=.04 solution_vars = {'P1': 426256.1597041593, 'P2': 133600, 'Qp': 0.01, 'Qs': 0.01, 'd_mixing': 0.045, 'd_nozzle': 0.022382858811037732} for key, value in solution_vars.items(): kwargs = dict(solution_vars) del kwargs[key] new_value = liquid_jet_pump_ancillary(rhop=rhop, rhos=rhos, Ks=Ks, Kp=Kp, **kwargs) assert_close(new_value, value) @pytest.mark.slow @pytest.mark.fuzz def test_liquid_jet_pump_ancillary_rhos_Ks_Ps(): for rhop in [998., 1050, 1150, 1250, 800]: for rhos in [1098., 1100, 1200, 1600, 4000, 100]: for Ks in [1E-9, 1E-3, 0.11, .5, 1, 5, 10, 100, 1000]: for Kp in [1E-9, 1E-3, 0.11, .5, 1, 5, 10, 100, 1000]: for P_mult in [0.1, 0.5, 1, 2, 10]: solution_vars = {'P1': 426256.1597041593, 'P2': 133600, 'Qp': 0.01, 'd_mixing': 0.045, 'd_nozzle': 0.022382858811037732} solution_vars['P1'] *= P_mult if solution_vars['P1'] < solution_vars['P2']: continue # Finish calculating good known values solution_vars['Qs'] = liquid_jet_pump_ancillary(rhop=rhop, rhos=rhos, Ks=Ks, Kp=Kp, **solution_vars) if solution_vars['Qs'].imag: # Do not keep testing if obtained an imaginary flow rate continue # Try each variable with the solver for key, value in solution_vars.items(): kwargs = dict(solution_vars) del kwargs[key] new_value = liquid_jet_pump_ancillary(rhop=rhop, rhos=rhos, Ks=Ks, Kp=Kp, **kwargs) assert_close(new_value, value) @pytest.mark.slow @pytest.mark.fuzz def test_liquid_jet_pump_ancillary_d_mixing(): rhop=998. rhos=1098. Ks=0.11 Kp=.04 for rhos in [1098., 1100, 1200, 1600, 4000, 100]: for Ks in [1E-9, 1E-3, 0.11, .5, 1, 5, 10, 100, 1000]: for D_mult in linspace(0.1, 10, 100): solution_vars = {'P1': 426256.1597041593, 'P2': 133600, 'Qp': 0.01, 'd_mixing': 0.045, 'd_nozzle': 0.022382858811037732} solution_vars['d_mixing'] *= D_mult if solution_vars['d_mixing'] < solution_vars['d_nozzle']*1.43: continue # Finish calculating good known values solution_vars['Qs'] = liquid_jet_pump_ancillary(rhop=rhop, rhos=rhos, Ks=Ks, Kp=Kp, **solution_vars) if solution_vars['Qs'].imag: # Do not keep testing if obtained an imaginary flow rate continue # Try each variable with the solver for key, value in solution_vars.items(): kwargs = dict(solution_vars) del kwargs[key] # print(solution_vars, key) new_value = liquid_jet_pump_ancillary(rhop=rhop, rhos=rhos, Ks=Ks, Kp=Kp, **kwargs) assert_close(new_value, value) def validate_liquid_jet_pump(rhop, rhos, Ks, Kp, Km, Kd, nozzle_retracted, solution_vars, d_diffuser=None, full=False): '''Helper function for testing `liquid_jet_pump`. Returns the number of solutions where the return values are the same as those given in `solution_vars`, and the number of cases where it is not. There is nothing wrong with getting a different answer; there are multiple solutions in the case of many variable sets. Raises an exception if a solution cannot be found. ''' if full: all_solution_vars = dict(solution_vars) solution_vars = dict(solution_vars) del solution_vars['M'] del solution_vars['N'] del solution_vars['R'] del solution_vars['alpha'] del solution_vars['d_diffuser'] del solution_vars['efficiency'] same, different = 0, 0 done = {} for i in solution_vars.keys(): for j in solution_vars.keys(): if i == j: continue elif frozenset([i, j]) in done: continue # Skip tests with alreardy tested variables; and where the two variables are the same kwargs = dict(solution_vars) del kwargs[i] del kwargs[j] # print('SOLVING FOR', i, j, kwargs) # ans = liquid_jet_pump(rhop=rhop, rhos=rhos, Ks=Ks, Kp=Kp, Km=Km, d_diffuser=d_diffuser, Kd=Kd, max_variations=10000, nozzle_retracted=nozzle_retracted, **kwargs) # print(i, j, ans[i], ans[j]) # print('SOLVED, STARTING NEXT') try: for key, value in solution_vars.items(): assert_close(value, abs(ans[key])) same += 1 # Since it matched, check the other parameters as well if full: for key, value in all_solution_vars.items(): assert_close(value, abs(ans[key])) except: for key, value in ans.items(): # Had some issues with under zero values assert value > 0 different += 1 done[frozenset([i, j])] = True return same, different @pytest.mark.slow def test_liquid_jet_pump_examples_round_robin(): # Example one and two variants solution_vars = {'P1': 426256.1597041593, 'P2': 133600, 'P5': 200000.0, 'Qp': 0.01, 'Qs': 0.01, 'd_mixing': 0.045, 'd_nozzle': 0.022382858811037732} validate_liquid_jet_pump(rhop=998., rhos=1098., Ks=0.11, Kp=0.04, Km=.186, Kd=0.12, nozzle_retracted=False, solution_vars=solution_vars) solution_vars = { 'P1': 468726.56966322445, 'P2': 133600, 'P5': 200000.0, 'Qp': 0.01, 'Qs': 0.001, 'd_mixing': 0.0665377148831667, 'd_nozzle': 0.022382858811037732} validate_liquid_jet_pump(rhop=998., rhos=1098., Ks=0.11, Kp=0.04, Km=.186, Kd=0.12, nozzle_retracted=False, solution_vars=solution_vars) solution_vars = { 'P1': 426256.1597041593, 'P2': 133600, 'P5': 200000.0, 'Qp': 0.1, 'Qs': 0.0201, 'd_mixing': 0.19926717348339726, 'd_nozzle': 0.07320212423451278} validate_liquid_jet_pump(rhop=998., rhos=1098., Ks=0.11, Kp=0.04, Km=.186, Kd=0.12, nozzle_retracted=False, solution_vars=solution_vars) # Example 2 solution_vars = {'P1': 550000.0, 'P2': 170000.0, 'P5': 192362.72123108635, 'Qp': 0.0005588580085548165, 'Qs': 0.0018975332068311196, 'd_mixing': 0.024, 'd_nozzle': 0.0048} validate_liquid_jet_pump(rhop=790.5, rhos=790.5, Km=.1, Kd=0.1, Ks=0.1, Kp=0.03, nozzle_retracted=False, solution_vars=solution_vars) #@pytest.mark.slow def test_liquid_jet_pump_examples_round_robin_Ex3(): # Not worth testing - requires further work # Example 3 rhop=765.0 rhos=765.0 Km=.15 Kd=0.12 Ks=0.38 Kp=0.05 nozzle_retracted=True d_diffuser=0.0318 # point 5 solution_vars = { 'P1': 1000000.0, 'P2': 47500.0, 'P5': 109500.0, 'Qp': 0.0005587193619566122, 'Qs': 0.001400084261324908, 'd_mixing': 0.017, 'd_nozzle': 0.0038} same, different = validate_liquid_jet_pump(nozzle_retracted=nozzle_retracted, d_diffuser=d_diffuser,rhop=rhop, rhos=rhos, Km=Km, Kd=Kd, Ks=Ks, Kp=Kp, solution_vars=solution_vars) assert same > 10 # Point 4 solution_vars = { 'P1': 800000.0, 'P2': 46020.0, 'P5': 95000.0, 'Qp': 0.0004971366273938245, 'Qs': 0.0012500084707104235, 'd_mixing': 0.017, 'd_nozzle': 0.0038} same, different = validate_liquid_jet_pump(nozzle_retracted=nozzle_retracted, d_diffuser=d_diffuser,rhop=rhop, rhos=rhos, Km=Km, Kd=Kd, Ks=Ks, Kp=Kp, solution_vars=solution_vars) assert same > 10 # Custom point with full validation expected = {'M': 2.633280822186772, 'N': 0.06818823529411765, 'P1': 500000.0, 'P2': 46020.0, 'P5': 75000.0, 'Qp': 0.0003864114714478578, 'Qs': 0.0010175299172366153, 'R': 0.05097107567130409, 'alpha': 0.28014905021125414, 'd_diffuser': 0.0318, 'd_mixing': 0.016831456429424897, 'd_nozzle': 0.0038, 'efficiency': 0.1795587722987592} same, different = validate_liquid_jet_pump(nozzle_retracted=nozzle_retracted, d_diffuser=d_diffuser,rhop=rhop, rhos=rhos, Km=Km, Kd=Kd, Ks=Ks, Kp=Kp, solution_vars=expected, full=True) assert same > 15 del test_liquid_jet_pump_examples_round_robin_Ex3 def test_vacuum_air_leakage_Seider(): flow = vacuum_air_leakage_Seider(10, 10000) assert_close(flow, 0.0018775547320870965) # Check that lower operating pressures have higher air leaks assert vacuum_air_leakage_Seider(10, 90000) > vacuum_air_leakage_Seider(10, 95000) assert vacuum_air_leakage_Seider(10, 9000) > vacuum_air_leakage_Seider(10, 9500) assert vacuum_air_leakage_Seider(10, 900) > vacuum_air_leakage_Seider(10, 950) def test_vacuum_air_leakage_Coker_Worthington(): from fluids.constants import inchHg pressures = (atm-700*mmHg, atm-100*mmHg, atm-50*mmHg, atm-4*mmHg, atm-2*mmHg, atm-.5*mmHg, atm-6*inchHg, 10000) for P in pressures: for b in (True, False): vacuum_air_leakage_Coker_Worthington(P, P_atm=101325.0, conservative=b) # Check that lower operating pressures have higher air leaks assert vacuum_air_leakage_Coker_Worthington(10000) > vacuum_air_leakage_Coker_Worthington(80000) flow = vacuum_air_leakage_Coker_Worthington(10000) assert_close(flow, 0.005039915222222222) def test_vacuum_air_leakage_HEI2633(): l = vacuum_air_leakage_HEI2633(10, 10000) assert_close(l, 0.001186252403781038, rtol=1e-4) pressures = (atm-700*mmHg, atm-100*mmHg, atm-50*mmHg, atm-4*mmHg, atm-2*mmHg, atm-.5*mmHg) for p in pressures: assert vacuum_air_leakage_HEI2633(.1, p) == vacuum_air_leakage_HEI2633(.2, p) values = [] for p in pressures: values.append(vacuum_air_leakage_HEI2633(6, p)) values_expect = [0.0008442279742808746, 0.0008442279742808746, 0.0006390170057983002, 0.00042906223685548387, 0.0002171483498876099, 0.0001093779195609018] assert_close1d(values, values_expect, rtol=1e-4) def test_vacuum_air_leakage_Ryans_Croll(): l = vacuum_air_leakage_Ryans_Croll(10, 10000) assert_close(l, 0.0004512759324612646) l = vacuum_air_leakage_Ryans_Croll(100, 99000) assert_close(l, 0.0011404637061758096) l = vacuum_air_leakage_Ryans_Croll(100, 99900, P_atm=1e5) assert_close(l, 0.00039961577892830735) assert vacuum_air_leakage_Ryans_Croll(10, 94000) > vacuum_air_leakage_Ryans_Croll(10, 95000) l = vacuum_air_leakage_Ryans_Croll(10, 70000) assert_close(0.0004512759324612646, l) l = vacuum_air_leakage_Ryans_Croll(100, 300) assert_close(l, 0.0017965618461104518) fluids-1.0.22/benchmarks/0000755000175000017500000000000014302004506014517 5ustar nileshnileshfluids-1.0.22/benchmarks/benchmarks.py0000644000175000017500000007755114302004506017225 0ustar nileshnilesh#from fluids import * from fluids.numerics import IS_PYPY from fluids.constants import * #IS_PYPY = True if not IS_PYPY: import fluids.numba import numba from datetime import datetime import numpy as np import pytz import inspect def also_numba(f): if not IS_PYPY: f.duplicate_with_numba = True return f from fluids.atmosphere import ATMOSPHERE_1976, ATMOSPHERE_NRLMSISE00, airmass, solar_position, earthsun_distance, sunrise_sunset, solar_irradiation if not IS_PYPY: ATMOSPHERE_1976_numba = fluids.numba.ATMOSPHERE_1976 airmass_numba = fluids.numba.atmosphere.airmass @numba.njit def numba_int_airmass(Z): return fluids.numba.atmosphere.ATMOSPHERE_1976(Z, 0).rho class BaseTimeSuite(object): def setup(self): if not IS_PYPY: for k in dir(self.__class__): if 'time' in k and 'numba' in k: c = getattr(self, k) c() class TimeAtmosphereSuite(BaseTimeSuite): def setup(self): if not IS_PYPY: self.time_ATMOSPHERE_1976_numba() self.date_test_es = datetime(2020, 6, 6, 10, 0, 0, 0) self.tz_dt = pytz.timezone('Australia/Perth').localize(datetime(2020, 6, 6, 7, 10, 57)) self.tz_dt2 = pytz.timezone('America/Edmonton').localize(datetime(2018, 4, 15, 13, 43, 5)) def time_ATMOSPHERE_1976(self): ATMOSPHERE_1976(5000.0) def time_ATMOSPHERE_1976_numba(self): ATMOSPHERE_1976_numba(5000.0) def time_ATMOSPHERE_1976_pressure_integral(self): ATMOSPHERE_1976.pressure_integral(288.6, 84100.0, 147.0) def time_ATMOSPHERE_NRLMSISE00(self): ATMOSPHERE_NRLMSISE00(1E3, 45, 45, 150) def time_airmass(self): airmass(lambda Z : ATMOSPHERE_1976(Z).rho, 90.0) def time_airmass_numba(self): airmass_numba(numba_int_airmass, 90.0) def time_earthsun_distance(self): earthsun_distance(self.date_test_es) def time_solar_position(self): solar_position(self.tz_dt, -31.95265, 115.85742) def time_sunrise_sunset(self): sunrise_sunset(self.tz_dt, 51.0486, -114.07) def time_solar_irradiation(self): solar_irradiation(Z=1100.0, latitude=51.0486, longitude=-114.07, linke_turbidity=3, moment=self.tz_dt2, surface_tilt=41.0, surface_azimuth=180.0) from fluids import isothermal_gas, isentropic_work_compression, isentropic_efficiency, P_isothermal_critical_flow if not IS_PYPY: isentropic_work_compression_numba = fluids.numba.isentropic_work_compression isentropic_efficiency_numba = fluids.numba.isentropic_efficiency P_isothermal_critical_flow_numba = fluids.numba.P_isothermal_critical_flow isothermal_gas_numba = fluids.numba.isothermal_gas class TimeCompressibleSuite(BaseTimeSuite): def setup(self): if not IS_PYPY: self.time_isentropic_work_compression_numba() self.time_isentropic_efficiency_numba() #self.time_P_isothermal_critical_flow_numba() self.time_compressible_D_numba() #self.time_compressible_P1_numba() #self.time_compressible_P2_numba() def time_compressible_D(self): isothermal_gas(rho=11.3, fd=0.00185, P1=1E6, P2=9E5, L=1000, m=145.48475726, D=None) def time_compressible_D_numba(self): isothermal_gas_numba(rho=11.3, fd=0.00185, P1=1E6, P2=9E5, L=1000, m=145.48475726, D=None) def time_compressible_P1(self): isothermal_gas(rho=11.3, fd=0.00185, P2=9E5, L=1000, m=145.48475726, D=0.5) #def time_compressible_P1_numba(self): #isothermal_gas_numba(rho=11.3, fd=0.00185, P2=9E5, L=1000, m=145.48475726, D=0.5) def time_compressible_P2(self): isothermal_gas(rho=11.3, fd=0.00185, P1=1E6, L=1000, m=145.48475726, D=0.5) #def time_compressible_P2_numba(self): #isothermal_gas_numba(rho=11.3, fd=0.00185, P1=1E6, L=1000, m=145.48475726, D=0.5) def time_isentropic_work_compression(self): isentropic_work_compression(P1=1E5, P2=1E6, T1=300.0, k=1.4, eta=0.78) def time_isentropic_work_compression_numba(self): isentropic_work_compression_numba(P1=1E5, P2=1E6, T1=300.0, k=1.4, eta=0.78) def time_isentropic_efficiency(self): isentropic_efficiency(1E5, 1E6, 1.4, eta_p=0.78) def time_isentropic_efficiency_numba(self): isentropic_efficiency_numba(1E5, 1E6, 1.4, eta_p=0.78) def time_P_isothermal_critical_flow(self): P_isothermal_critical_flow(P=1E6, fd=0.00185, L=1000., D=0.5) #def time_P_isothermal_critical_flow_numba(self): #P_isothermal_critical_flow_numba(P=1E6, fd=0.00185, L=1000., D=0.5) from fluids import control_valve_noise_g_2011, control_valve_noise_l_2015, size_control_valve_l, size_control_valve_g if not IS_PYPY: control_valve_noise_l_2015_numba = fluids.numba.control_valve_noise_l_2015 control_valve_noise_g_2011_numba = fluids.numba.control_valve_noise_g_2011 class TimeControlValveSuite(BaseTimeSuite): def time_size_control_valve_g(self): size_control_valve_g(T=433., MW=44.01, mu=1.4665E-4, gamma=1.30, Z=0.988, P1=680E3, P2=310E3, Q=38/36., D1=0.08, D2=0.1, d=0.05, FL=0.85, Fd=0.42, xT=0.60) def time_size_control_valve_l(self): size_control_valve_l(rho=965.4, Psat=70.1E3, Pc=22120E3, mu=3.1472E-4, P1=680E3, P2=220E3, Q=0.1, D1=0.15, D2=0.15, d=0.15, FL=0.9, Fd=0.46) def time_control_valve_noise_l_2015(self): control_valve_noise_l_2015(m=40, P1=1E6, P2=6.5E5, Psat=2.32E3, rho=997, c=1400, Kv=77.848, d=0.1, Di=0.1071, FL=0.92, Fd=0.42, t_pipe=0.0036, rho_pipe=7800.0, c_pipe=5000.0,rho_air=1.293, c_air=343.0, An=-4.6) def time_control_valve_noise_l_2015_numba(self): control_valve_noise_l_2015_numba(m=40, P1=1E6, P2=6.5E5, Psat=2.32E3, rho=997, c=1400, Kv=77.848, d=0.1, Di=0.1071, FL=0.92, Fd=0.42, t_pipe=0.0036, rho_pipe=7800.0, c_pipe=5000.0,rho_air=1.293, c_air=343.0, An=-4.6) def time_control_valve_noise_g_2011(self): control_valve_noise_g_2011(m=2.22, P1=1E6, P2=7.2E5, T1=450, rho=5.3, gamma=1.22, MW=19.8, Kv=77.85, d=0.1, Di=0.2031, FL=None, FLP=0.792, FP=0.98, Fd=0.296, t_pipe=0.008, rho_pipe=8000.0, c_pipe=5000.0, rho_air=1.293, c_air=343.0, An=-3.8, Stp=0.2) def time_control_valve_noise_g_2011_numba(self): control_valve_noise_g_2011_numba(m=2.22, P1=1E6, P2=7.2E5, T1=450, rho=5.3, gamma=1.22, MW=19.8, Kv=77.85, d=0.1, Di=0.2031, FL=None, FLP=0.792, FP=0.98, Fd=0.296, t_pipe=0.008, rho_pipe=8000.0, c_pipe=5000.0, rho_air=1.293, c_air=343.0, An=-3.8, Stp=0.2) from fluids import drag_sphere, v_terminal, integrate_drag_sphere if not IS_PYPY: drag_sphere_numba = fluids.numba.drag_sphere v_terminal_numba = fluids.numba.v_terminal #integrate_drag_sphere_numba = fluids.numba.integrate_drag_sphere class TimeDragSuite(BaseTimeSuite): def time_drag_sphere(self): drag_sphere(20000.0, 'Barati_high') def time_drag_sphere_numba(self): drag_sphere_numba(20000.0, 'Barati_high') def time_v_terminal(self): v_terminal(D=70E-6, rhop=2600., rho=1000., mu=1E-3) def time_v_terminal_numba(self): v_terminal_numba(D=70E-6, rhop=2600., rho=1000., mu=1E-3) def time_integrate_drag_sphere(self): integrate_drag_sphere(D=0.001, rhop=2200., rho=1.2, mu=1.78E-5, t=0.5, V=30, distance=True) from fluids import change_K_basis, entrance_distance, Darby3K, Hooper2K, K_angle_valve_Crane, v_lift_valve_Crane, K_branch_converging_Crane if not IS_PYPY: change_K_basis_numba = fluids.numba.change_K_basis entrance_distance_numba = fluids.numba.entrance_distance Darby3K_numba = fluids.numba.Darby3K Hooper2K_numba = fluids.numba.Hooper2K K_angle_valve_Crane_numba = fluids.numba.K_angle_valve_Crane v_lift_valve_Crane_numba = fluids.numba.v_lift_valve_Crane K_branch_converging_Crane_numba = fluids.numba.K_branch_converging_Crane class TimeFittingsSuite(BaseTimeSuite): #def setup(self): #pass #self.time_change_K_basis_numba() #self.time_entrance_distance_idelchik_numba() #self.time_entrance_distance_harris_numba() #self.time_Darby3K_numba() #self.time_Hooper2K_numba() def time_change_K_basis(self): change_K_basis(K1=32.68875692997804, D1=.01, D2=.02) def time_change_K_basis_numba(self): change_K_basis_numba(K1=32.68875692997804, D1=.01, D2=.02) def time_entrance_distance_idelchik(self): entrance_distance(Di=0.1, t=0.0005, l=.02, method='Idelchik') def time_entrance_distance_idelchik_numba(self): entrance_distance_numba(Di=0.1, t=0.0005, l=.02, method='Idelchik') def time_entrance_distance_harris(self): entrance_distance(Di=0.1, t=0.0005, l=.02, method='Harris') def time_entrance_distance_harris_numba(self): entrance_distance_numba(Di=0.1, t=0.0005, l=.02, method='Harris') def time_Darby3K(self): Darby3K(NPS=2., Re=10000., name='Valve, Angle valve, 45°, full line size, β = 1') def time_Darby3K_numba(self): Darby3K_numba(NPS=2., Re=10000., name='Valve, Angle valve, 45°, full line size, β = 1') def time_Hooper2K(self): Hooper2K(Di=2., Re=10000., name='Valve, Globe, Standard') def time_Hooper2K_numba(self): Hooper2K_numba(Di=2., Re=10000., name='Valve, Globe, Standard') def time_K_angle_valve_Crane(self): K_angle_valve_Crane(.01, .02) def time_K_angle_valve_Crane_numba(self): K_angle_valve_Crane_numba(.01, .02) def time_v_lift_valve_Crane(self): v_lift_valve_Crane(rho=998.2, D1=0.0627, D2=0.0779, style='lift check straight') def time_v_lift_valve_Crane_numba(self): v_lift_valve_Crane_numba(rho=998.2, D1=0.0627, D2=0.0779, style='lift check straight') def time_K_branch_converging_Crane(self): K_branch_converging_Crane(0.1023, 0.1023, 0.018917, 0.00633) def time_K_branch_converging_Crane_numba(self): K_branch_converging_Crane_numba(0.1023, 0.1023, 0.018917, 0.00633) from fluids import C_Reader_Harris_Gallagher, differential_pressure_meter_solver, dP_venturi_tube if not IS_PYPY: C_Reader_Harris_Gallagher_numba = fluids.numba.C_Reader_Harris_Gallagher differential_pressure_meter_solver_numba = fluids.numba.differential_pressure_meter_solver dP_venturi_tube_numba = fluids.numba.dP_venturi_tube class TimeFlowMeterSuite(BaseTimeSuite): def time_C_Reader_Harris_Gallagher(self): C_Reader_Harris_Gallagher(D=0.07391, Do=0.0222, rho=1.165, mu=1.85E-5, m=0.12, taps='flange') def time_C_Reader_Harris_Gallagher_numba(self): C_Reader_Harris_Gallagher_numba(D=0.07391, Do=0.0222, rho=1.165, mu=1.85E-5, m=0.12, taps='flange') def time_dP_venturi_tube(self): dP_venturi_tube(D=0.07366, Do=0.05, P1=200000.0, P2=183000.0) def time_dP_venturi_tube_numba(self): dP_venturi_tube_numba(D=0.07366, Do=0.05, P1=200000.0, P2=183000.0) def time_differential_pressure_meter_solver_m(self): differential_pressure_meter_solver(D=0.07366, D2=0.05, P1=200000.0, P2=183000.0, rho=999.1, mu=0.0011, k=1.33, meter_type='ISO 5167 orifice', taps='D') def time_differential_pressure_meter_solver_numba_m(self): differential_pressure_meter_solver_numba(D=0.07366, D2=0.05, P1=200000.0, P2=183000.0, rho=999.1, mu=0.0011, k=1.33, meter_type='ISO 5167 orifice', taps='D') def time_differential_pressure_meter_solver_P2(self): differential_pressure_meter_solver(D=0.07366, D2=0.05, P1=200000.0, m=7.702338035732167, rho=999.1, mu=0.0011, k=1.33, meter_type='ISO 5167 orifice', taps='D') def time_differential_pressure_meter_solver_numba_P2(self): differential_pressure_meter_solver_numba(D=0.07366, D2=0.05, P1=200000.0, m=7.702338035732167, rho=999.1, mu=0.0011, k=1.33, meter_type='ISO 5167 orifice', taps='D') def time_differential_pressure_meter_solver_P1(self): differential_pressure_meter_solver(D=0.07366, D2=0.05, P2=183000.0, m=7.702338035732167, rho=999.1, mu=0.0011, k=1.33, meter_type='ISO 5167 orifice', taps='D') def time_differential_pressure_meter_solver_numba_P1(self): differential_pressure_meter_solver_numba(D=0.07366, D2=0.05, P2=183000.0, m=7.702338035732167, rho=999.1, mu=0.0011, k=1.33, meter_type='ISO 5167 orifice', taps='D') def time_differential_pressure_meter_solver_D2(self): differential_pressure_meter_solver(D=0.07366, P1=200000.0, P2=183000.0, m=7.702338035732167, rho=999.1, mu=0.0011, k=1.33, meter_type='ISO 5167 orifice', taps='D') def time_differential_pressure_meter_solver_numba_D2(self): differential_pressure_meter_solver_numba(D=0.07366, P1=200000.0, P2=183000.0, m=7.702338035732167, rho=999.1, mu=0.0011, k=1.33, meter_type='ISO 5167 orifice', taps='D') def time_differential_pressure_meter_solver_m_Hollingshead(self): differential_pressure_meter_solver(D=0.07366, D2=0.05, P1=200000.0, P2=183000.0, rho=999.1, mu=0.0011, k=1.33, meter_type='Hollingshead orifice', taps='D') def time_differential_pressure_meter_solver_numba_m_Hollingshead(self): differential_pressure_meter_solver_numba(D=0.07366, D2=0.05, P1=200000.0, P2=183000.0, rho=999.1, mu=0.0011, k=1.33, meter_type='Hollingshead orifice', taps='D') def time_differential_pressure_meter_solver_P2_Hollingshead(self): differential_pressure_meter_solver(D=0.07366, D2=0.05, P1=200000.0, m=7.702338035732167, rho=999.1, mu=0.0011, k=1.33, meter_type='Hollingshead orifice', taps='D') def time_differential_pressure_meter_solver_numba_P2_Hollingshead(self): differential_pressure_meter_solver_numba(D=0.07366, D2=0.05, P1=200000.0, m=7.702338035732167, rho=999.1, mu=0.0011, k=1.33, meter_type='Hollingshead orifice', taps='D') def time_differential_pressure_meter_solver_P1_Hollingshead(self): differential_pressure_meter_solver(D=0.07366, D2=0.05, P2=183000.0, m=7.702338035732167, rho=999.1, mu=0.0011, k=1.33, meter_type='Hollingshead orifice', taps='D') def time_differential_pressure_meter_solver_numba_P1_Hollingshead(self): differential_pressure_meter_solver_numba(D=0.07366, D2=0.05, P2=183000.0, m=7.702338035732167, rho=999.1, mu=0.0011, k=1.33, meter_type='Hollingshead orifice', taps='D') def time_differential_pressure_meter_solver_D2_Hollingshead(self): differential_pressure_meter_solver(D=0.07366, P1=200000.0, P2=183000.0, m=7.702338035732167, rho=999.1, mu=0.0011, k=1.33, meter_type='Hollingshead orifice', taps='D') def time_differential_pressure_meter_solver_numba_D2_Hollingshead(self): differential_pressure_meter_solver_numba(D=0.07366, P1=200000.0, P2=183000.0, m=7.702338035732167, rho=999.1, mu=0.0011, k=1.33, meter_type='Hollingshead orifice', taps='D') def time_differential_pressure_meter_solver_m_Miller_orifice(self): differential_pressure_meter_solver(D=0.07366, D2=0.05, P1=200000.0, P2=183000.0, rho=999.1, mu=0.0011, k=1.33, meter_type='Miller orifice', taps='corner') def time_differential_pressure_meter_solver_numba_m_Miller_orifice(self): differential_pressure_meter_solver_numba(D=0.07366, D2=0.05, P1=200000.0, P2=183000.0, rho=999.1, mu=0.0011, k=1.33, meter_type='Miller orifice', taps='corner') def time_differential_pressure_meter_solver_P2_Miller_orifice(self): differential_pressure_meter_solver(D=0.07366, D2=0.05, P1=200000.0, m=7.702338035732167, rho=999.1, mu=0.0011, k=1.33, meter_type='Miller orifice', taps='corner') def time_differential_pressure_meter_solver_numba_P2_Miller_orifice(self): differential_pressure_meter_solver_numba(D=0.07366, D2=0.05, P1=200000.0, m=7.702338035732167, rho=999.1, mu=0.0011, k=1.33, meter_type='Miller orifice', taps='corner') def time_differential_pressure_meter_solver_P1_Miller_orifice(self): differential_pressure_meter_solver(D=0.07366, D2=0.05, P2=183000.0, m=7.702338035732167, rho=999.1, mu=0.0011, k=1.33, meter_type='Miller orifice', taps='corner') def time_differential_pressure_meter_solver_numba_P1_Miller_orifice(self): differential_pressure_meter_solver_numba(D=0.07366, D2=0.05, P2=183000.0, m=7.702338035732167, rho=999.1, mu=0.0011, k=1.33, meter_type='Miller orifice', taps='corner') def time_differential_pressure_meter_solver_D2_Miller_orifice(self): differential_pressure_meter_solver(D=0.07366, P1=200000.0, P2=183000.0, m=7.702338035732167, rho=999.1, mu=0.0011, k=1.33, meter_type='Miller orifice', taps='corner') def time_differential_pressure_meter_solver_numba_D2_Miller_orifice(self): differential_pressure_meter_solver_numba(D=0.07366, P1=200000.0, P2=183000.0, m=7.702338035732167, rho=999.1, mu=0.0011, k=1.33, meter_type='Miller orifice', taps='corner') from fluids import ft_Crane, friction_factor, friction_factor_curved, friction_plate_Kumar, roughness_Farshad if not IS_PYPY: ft_Crane_numba = fluids.numba.ft_Crane friction_factor_numba = fluids.numba.friction_factor friction_factor_curved_numba = fluids.numba.friction_factor_curved friction_plate_Kumar_numba = fluids.numba.friction_plate_Kumar roughness_Farshad_numba = fluids.numba.roughness_Farshad class TimeFrictionSuite(BaseTimeSuite): def time_ft_Crane(self): ft_Crane(.1) def time_ft_Crane_numba(self): ft_Crane_numba(.1) def time_friction_factor(self): friction_factor(Re=1E5, eD=1E-4) def time_friction_factor_numba(self): friction_factor_numba(Re=1E5, eD=1E-4) def time_friction_factor_S2(self): friction_factor(Re=2.9E5, eD=1E-5, Method='Serghides_2') def time_friction_factor_S2_numba(self): friction_factor_numba(Re=2.9E5, eD=1E-5, Method='Serghides_2') def time_friction_factor_curved(self): friction_factor_curved(Re=1E5, Di=0.02, Dc=0.5) def time_friction_factor_curved_numba(self): friction_factor_curved_numba(Re=1E5, Di=0.02, Dc=0.5) def time_friction_plate_Kumar(self): friction_plate_Kumar(Re=2000.0, chevron_angle=30.0) def time_friction_plate_Kumar_numba(self): friction_plate_Kumar_numba(Re=2000.0, chevron_angle=30.0) def time_roughness_Farshad(self): roughness_Farshad('Cr13, bare', 0.05) def time_roughness_Farshad_numba(self): roughness_Farshad_numba('Cr13, bare', 0.05) from fluids import V_horiz_conical, V_horiz_spherical, V_horiz_torispherical, V_vertical_torispherical_concave, SA_tank, V_tank, SA_partial_horiz_spherical_head, SA_partial_horiz_ellipsoidal_head, SA_partial_horiz_guppy_head, SA_partial_horiz_torispherical_head, V_from_h, SA_from_h if not IS_PYPY: V_horiz_conical_numba = fluids.numba.V_horiz_conical V_horiz_spherical_numba = fluids.numba.V_horiz_spherical V_horiz_torispherical_numba = fluids.numba.V_horiz_torispherical V_vertical_torispherical_concave_numba = fluids.numba.V_vertical_torispherical_concave SA_tank_numba = fluids.numba.SA_tank V_tank_numba = fluids.numba.V_tank SA_partial_horiz_spherical_head_numba = fluids.numba.SA_partial_horiz_spherical_head SA_partial_horiz_ellipsoidal_head_numba = fluids.numba.SA_partial_horiz_ellipsoidal_head SA_partial_horiz_guppy_head_numba = fluids.numba.SA_partial_horiz_guppy_head SA_partial_horiz_torispherical_head_numba = fluids.numba.SA_partial_horiz_torispherical_head V_from_h_numba = fluids.numba.V_from_h SA_from_h_numba = fluids.numba.SA_from_h class TimeGeometrySuite(BaseTimeSuite): def time_V_horiz_conical(self): V_horiz_conical(D=108., L=156., a=42., h=36) def time_V_horiz_conical_numba(self): V_horiz_conical_numba(D=108., L=156., a=42., h=36) def time_V_horiz_spherical(self): V_horiz_spherical(D=108., L=156., a=0.1, h=36.0) def time_V_horiz_spherical_numba(self): V_horiz_spherical_numba(D=108., L=156., a=0.1, h=36.0) def time_V_horiz_torispherical_1(self): V_horiz_torispherical(D=108., L=156., f=1., k=0.06, h=1.0) def time_V_horiz_torispherical_1_numba(self): V_horiz_torispherical_numba(D=108., L=156., f=1., k=0.06, h=1.0) def time_V_horiz_torispherical_2(self): V_horiz_torispherical(D=108., L=156., f=1., k=0.06, h=84.0) def time_V_horiz_torispherical_2_numba(self): V_horiz_torispherical_numba(D=108., L=156., f=1., k=0.06, h=84.0) def time_V_horiz_torispherical_3(self): V_horiz_torispherical(D=108., L=156., f=1., k=0.06, h=106.0) def time_V_horiz_torispherical_3_numba(self): V_horiz_torispherical_numba(D=108., L=156., f=1., k=0.06, h=106.0) def time_V_vertical_torispherical_concave(self): V_vertical_torispherical_concave(D=113., f=0.71, k=0.081, h=15.0) def time_V_vertical_torispherical_concave_numba(self): V_vertical_torispherical_concave_numba(D=113., f=0.71, k=0.081, h=15.0) def time_SA_tank_1(self): SA_tank(D=2.54, L=5, sideA='torispherical', sideB='torispherical', sideA_f=1.039370079, sideA_k=0.062362205, sideB_f=1.039370079, sideB_k=0.062362205) def time_SA_tank_1_numba(self): SA_tank_numba(D=2.54, L=5, sideA='torispherical', sideB='torispherical', sideA_f=1.039370079, sideA_k=0.062362205, sideB_f=1.039370079, sideB_k=0.062362205) def time_V_tank_1(self): V_tank(D=1.5, L=5., horizontal=False, sideA='conical', sideB='conical', sideA_a=2., sideB_a=1.) def time_V_tank_1_numba(self): V_tank_numba(D=1.5, L=5., horizontal=False, sideA='conical', sideB='conical', sideA_a=2., sideB_a=1.) def time_SA_partial_horiz_spherical_head(self): SA_partial_horiz_spherical_head(D=72., a=48.0, h=24.0) def time_SA_partial_horiz_spherical_head_numba(self): SA_partial_horiz_spherical_head_numba(D=72., a=48.0, h=24.0) def time_SA_partial_horiz_ellipsoidal_head(self): SA_partial_horiz_ellipsoidal_head(D=72., a=48.0, h=24.0) def time_SA_partial_horiz_ellipsoidal_head_numba(self): SA_partial_horiz_ellipsoidal_head_numba(D=72., a=48.0, h=24.0) def time_SA_partial_horiz_guppy_head(self): SA_partial_horiz_guppy_head(D=72., a=48.0, h=24.0) def time_SA_partial_horiz_guppy_head_numba(self): SA_partial_horiz_guppy_head_numba(D=72., a=48.0, h=24.0) def time_SA_partial_horiz_torispherical_head_1(self): SA_partial_horiz_torispherical_head(D=72., f=1, k=.06, h=1.0) def time_SA_partial_horiz_torispherical_head_1_numba(self): SA_partial_horiz_torispherical_head_numba(D=72., f=1, k=.06, h=1.0) def time_SA_partial_horiz_torispherical_head_2(self): SA_partial_horiz_torispherical_head(D=72., f=1, k=.06, h=20.0) def time_SA_partial_horiz_torispherical_head_2_numba(self): SA_partial_horiz_torispherical_head_numba(D=72., f=1, k=.06, h=20.0) def time_SA_partial_horiz_torispherical_head_3(self): SA_partial_horiz_torispherical_head(D=72., f=1, k=.06, h=66.0) def time_SA_partial_horiz_torispherical_head_3_numba(self): SA_partial_horiz_torispherical_head_numba(D=72., f=1, k=.06, h=66.0) def time_V_from_h(self): V_from_h(h=7, D=1.5, L=5., horizontal=False, sideA='conical', sideB='conical', sideA_a=2., sideB_a=1.) def time_V_from_h_numba(self): V_from_h_numba(h=7, D=1.5, L=5., horizontal=False, sideA='conical', sideB='conical', sideA_a=2., sideB_a=1.) def time_SA_from_h(self): SA_from_h(h=7, D=1.5, L=5., horizontal=False, sideA='conical', sideB='conical', sideA_a=2., sideB_a=1.) def time_SA_from_h_numba(self): SA_from_h_numba(h=7, D=1.5, L=5., horizontal=False, sideA='conical', sideB='conical', sideA_a=2., sideB_a=1.) # TODO test classes in geometry from fluids import Q_weir_V_Shen if not IS_PYPY: Q_weir_V_Shen_numba = fluids.numba.Q_weir_V_Shen class TimeOpenFlowSuite(BaseTimeSuite): def time_Q_weir_V_Shen(self): Q_weir_V_Shen(0.6, angle=45) def time_Q_weir_V_Shen_numba(self): Q_weir_V_Shen_numba(0.6, angle=45) from fluids import dP_packed_bed if not IS_PYPY: dP_packed_bed_numba = fluids.numba.dP_packed_bed class TimePackedBedSuite(BaseTimeSuite): def time_dP_packed_bed(self): dP_packed_bed(dp=0.05, voidage=0.492, vs=0.1, rho=1E3, mu=1E-3, Dt=0.015, Method='Guo, Sun, Zhang, Ding & Liu') def time_dP_packed_bed_numba(self): dP_packed_bed_numba(dp=0.05, voidage=0.492, vs=0.1, rho=1E3, mu=1E-3, Dt=0.015, Method='Guo, Sun, Zhang, Ding & Liu') from fluids import Stichlmair_wet, Stichlmair_flood if not IS_PYPY: Stichlmair_wet_numba = fluids.numba.Stichlmair_wet Stichlmair_flood_numba = fluids.numba.Stichlmair_flood class TimePackedTowerSuite(BaseTimeSuite): def time_Stichlmair_wet(self): Stichlmair_wet(Vg=0.4, Vl = 5E-3, rhog=5., rhol=1200., mug=5E-5, voidage=0.68, specific_area=260., C1=32., C2=7., C3=1.) def time_Stichlmair_wet_numba(self): Stichlmair_wet_numba(Vg=0.4, Vl = 5E-3, rhog=5., rhol=1200., mug=5E-5, voidage=0.68, specific_area=260., C1=32., C2=7., C3=1.) def time_Stichlmair_flood(self): Stichlmair_flood(Vl = 5E-3, rhog=5., rhol=1200., mug=5E-5, voidage=0.68, specific_area=260., C1=32., C2=7., C3=1.) def time_Stichlmair_flood_numba(self): Stichlmair_flood_numba(Vl = 5E-3, rhog=5., rhol=1200., mug=5E-5, voidage=0.68, specific_area=260., C1=32., C2=7., C3=1.) from fluids import ParticleSizeDistribution if not IS_PYPY: ParticleSizeDistribution_numba = fluids.numba.ParticleSizeDistribution class TimeParticleSizeDistributionSuite(BaseTimeSuite): # TODO optimize these; maybe add numba support in the future - or increase support for numpy inputs # def time_ParticleSizeDistribution_init(self): ds = 1E-6*np.array([240, 360, 450, 562.5, 703, 878, 1097, 1371, 1713, 2141, 2676, 3345, 4181, 5226, 6532]) numbers = [65, 119, 232, 410, 629, 849, 990, 981, 825, 579, 297, 111, 21, 1] psd = ParticleSizeDistribution(ds=ds, fractions=numbers, order=0) from fluids import nearest_pipe, gauge_from_t, t_from_gauge if not IS_PYPY: nearest_pipe_numba = fluids.numba.nearest_pipe class TimePipingSuite(BaseTimeSuite): def time_nearest_pipe(self): nearest_pipe(Di=0.021) def time_gauge_from_t(self): gauge_from_t(.5, SI=False, schedule='BWG') def time_t_from_gauge(self): t_from_gauge(.2, False, 'BWG') from fluids import VFD_efficiency, CSA_motor_efficiency if not IS_PYPY: VFD_efficiency_numba = fluids.numba.VFD_efficiency CSA_motor_efficiency_numba = fluids.numba.CSA_motor_efficiency class TimePumpSuite(BaseTimeSuite): def time_VFD_efficiency(self): VFD_efficiency(100*hp, load=0.2) def time_VFD_efficiency_numba(self): VFD_efficiency_numba(100*hp, load=0.2) def time_CSA_motor_efficiency(self): CSA_motor_efficiency(100*hp, closed=True, poles=6, high_efficiency=True) def time_CSA_motor_efficiency_numba(self): CSA_motor_efficiency_numba(100*hp, closed=True, poles=6, high_efficiency=True) from fluids import API520_A_g, API520_B, API520_SH if not IS_PYPY: API520_A_g_numba = fluids.numba.API520_A_g API520_B_numba = fluids.numba.API520_B API520_SH_numba = fluids.numba.API520_SH class TimeSafetyValveSuite(BaseTimeSuite): def time_API520_A_g(self): API520_A_g(m=24270/3600., T=348., Z=0.90, MW=51., k=1.11, P1=670E3, Kb=1, Kc=1) def time_API520_A_g_numba(self): API520_A_g_numba(m=24270/3600., T=348., Z=0.90, MW=51., k=1.11, P1=670E3, Kb=1, Kc=1) def time_API520_B(self): API520_B(1E6, 5E5) def time_API520_B_numba(self): API520_B_numba(1E6, 5E5) def time_API520_SH(self): API520_SH(593+273.15, 1066.325E3) def time_API520_SH_numba(self): API520_SH_numba(593+273.15, 1066.325E3) from fluids import K_separator_Watkins if not IS_PYPY: K_separator_Watkins_numba = fluids.numba.K_separator_Watkins class TimeSeparatorSuite(BaseTimeSuite): def time_K_separator_Watkins(self): K_separator_Watkins(0.88, 985.4, 1.3, horizontal=True) def time_K_separator_Watkins_numba(self): K_separator_Watkins_numba(0.88, 985.4, 1.3, horizontal=True) from fluids import liquid_gas_voidage, gas_liquid_viscosity if not IS_PYPY: liquid_gas_voidage_numba = fluids.numba.liquid_gas_voidage gas_liquid_viscosity_numba = fluids.numba.gas_liquid_viscosity class TimeTwoPhaseVoidageSuite(BaseTimeSuite): def time_liquid_gas_voidage(self): liquid_gas_voidage(m=0.6, x=0.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, sigma=0.0487, D=0.05) def time_liquid_gas_voidage_numba(self): liquid_gas_voidage_numba(m=0.6, x=0.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, sigma=0.0487, D=0.05) def time_gas_liquid_viscosity(self): gas_liquid_viscosity(x=0.4, mul=1E-3, mug=1E-5, rhol=850, rhog=1.2, Method='Duckler') def time_gas_liquid_viscosity_numba(self): gas_liquid_viscosity_numba(x=0.4, mul=1E-3, mug=1E-5, rhol=850, rhog=1.2, Method='Duckler') from fluids import two_phase_dP, Taitel_Dukler_regime, Mandhane_Gregory_Aziz_regime if not IS_PYPY: two_phase_dP_numba = fluids.numba.two_phase_dP Taitel_Dukler_regime_numba = fluids.numba.Taitel_Dukler_regime Mandhane_Gregory_Aziz_regime_numba = fluids.numba.Mandhane_Gregory_Aziz_regime class TimeTwoPhaseSuite(BaseTimeSuite): def time_two_phase_dP(self): two_phase_dP(m=0.6, x=0.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, sigma=0.0487, D=0.05, L=1.0) def time_two_phase_dP_numba(self): two_phase_dP_numba(m=0.6, x=0.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, sigma=0.0487, D=0.05, L=1.0) def time_Taitel_Dukler_regime(self): Taitel_Dukler_regime(m=0.6, x=0.112, rhol=915.12, rhog=2.67, mul=180E-6, mug=14E-6, D=0.05, roughness=0.0, angle=0) def time_Taitel_Dukler_regime_numba(self): Taitel_Dukler_regime_numba(m=0.6, x=0.112, rhol=915.12, rhog=2.67, mul=180E-6, mug=14E-6, D=0.05, roughness=0.0, angle=0) def time_Mandhane_Gregory_Aziz_regime(self): Mandhane_Gregory_Aziz_regime(m=0.6, x=0.112, rhol=915.12, rhog=2.67, mul=180E-6, mug=14E-6, sigma=0.065, D=0.05) def time_Mandhane_Gregory_Aziz_regime_numba(self): Mandhane_Gregory_Aziz_regime_numba(m=0.6, x=0.112, rhol=915.12, rhog=2.67, mul=180E-6, mug=14E-6, sigma=0.065, D=0.05) suites = [TimeAtmosphereSuite, TimeCompressibleSuite, TimeControlValveSuite, TimeDragSuite, TimeFittingsSuite, TimeFlowMeterSuite, TimeFrictionSuite, TimeGeometrySuite, TimeOpenFlowSuite, TimePackedBedSuite, TimePackedTowerSuite, TimeParticleSizeDistributionSuite, TimePipingSuite, TimePumpSuite, TimeSafetyValveSuite, TimeSeparatorSuite, TimeTwoPhaseVoidageSuite, TimeTwoPhaseSuite, ] for suite in suites: continue # asv requires inspect to work :( # Do I want to write a file that writes this benchmark file? glbs, lcls = {}, {} for k in dir(suite): if 'time' in k: f = getattr(suite, k) if hasattr(f, 'duplicate_with_numba'): source = inspect.getsource(f) source = '\n'.join([s[4:] for s in source.split('\n')[1:]]) orig_function = k.replace('time_', '') numba_function = orig_function + '_numba' new_function_name = k + '_numba' new_source = source.replace(orig_function, numba_function) exec(new_source, glbs, lcls) setattr(suite, new_function_name, lcls[new_function_name]) if IS_PYPY: for s in suites: for k in dir(s): if 'time' in k and 'numba' in k: delattr(s, k) fluids-1.0.22/requirements.txt0000644000175000017500000000003214302004506015661 0ustar nileshnileshnumpy>=1.5.0 scipy>=0.9.0 fluids-1.0.22/docs/0000755000175000017500000000000014302004506013332 5ustar nileshnileshfluids-1.0.22/docs/_templates/0000755000175000017500000000000014302004506015467 5ustar nileshnileshfluids-1.0.22/docs/_templates/layout.html0000644000175000017500000000031414302004506017670 0ustar nileshnilesh{% extends "!layout.html" %} {% block extrahead %} {% if not embedded %}{% endif %} {{ super() }} {% endblock %} fluids-1.0.22/docs/fluids.separator.rst0000644000175000017500000000031714302004506017352 0ustar nileshnileshLiquid-Vapor Separators (fluids.separator) ========================================== .. meta:: :description: Vapor-Liquid Separator design and rating in Python. .. automodule:: fluids.separator fluids-1.0.22/docs/fluids.core.rst0000644000175000017500000000044514302004506016304 0ustar nileshnileshDimensionless numbers (fluids.core) =================================== .. meta:: :description: Calculate Reynolds number, number Mach number for fluid mechanics; Prandtl number for forced convection, Rayleigh and Biot numbers for free convection, etc. .. automodule:: fluids.core fluids-1.0.22/docs/fluids.packed_tower.rst0000644000175000017500000000044114302004506020017 0ustar nileshnileshPacking & demister pressure drop (fluids.packed_tower) ====================================================== .. meta:: :description: Calculate the pressure drop across a packed tower or a demister pad. Also has functions for flooding. .. automodule:: fluids.packed_tower fluids-1.0.22/docs/Examples/0000755000175000017500000000000014302004506015110 5ustar nileshnileshfluids-1.0.22/docs/Examples/Crane TP 410 Solved Problems/0000755000175000017500000000000014302004506021712 5ustar nileshnileshfluids-1.0.22/docs/Examples/Crane TP 410 Solved Problems/7.15 Power Required for Pumping.ipynb0000644000175000017500000000537314302004506030344 0ustar nileshnilesh{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 7.15 Power Required for Pumping" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Water at 70 deg F is pumped through a sketched system at a rate of 100 gal/min.\n", "\n", "Find the total discharge head brake horsepower for a pump with an efficiency of 70%.\n" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:18:19.713395Z", "iopub.status.busy": "2022-08-22T01:18:19.712388Z", "iopub.status.idle": "2022-08-22T01:18:20.419253Z", "shell.execute_reply": "2022-08-22T01:18:20.418355Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "head = 420.3499305270172 foot\n", "power = 15.154490724520906 horsepower\n" ] } ], "source": [ "from fluids.units import *\n", "from math import pi\n", "L = (30+100+70+300)*u.foot\n", "dH = 400*u.foot\n", "efficiency = 0.7\n", "\n", "Q = 100*u.gallon/u.min\n", "mu = 0.95*u.cP\n", "rho = 62.298*u.lb/u.ft**3\n", "\n", "NPS, Di, Do, t = nearest_pipe(Do=3*u.inch, schedule='40')\n", "\n", "Di_reducer = nearest_pipe(Do=2.5*u.inch, schedule='40')[1]\n", "\n", "A = 0.25*pi*Di**2\n", "v = Q/A\n", "Re = rho*v*Di/mu\n", "fd = friction_factor(Re=Re, eD=0.0022*u.inch/Di)\n", "\n", "K_exit = exit_normal()\n", "K_gate = K_gate_valve_Crane(D1=Di, D2=Di, angle=0.0*u.degrees)\n", "K_elbow = bend_rounded(Di=Di, angle=90*u.degrees, Re=Re, method='Crane standard')\n", "K_lift_valve = K_lift_check_valve_Crane(D1=Di_reducer, D2=Di, angled=False)\n", "\n", "K_tot = K_exit + K_gate + 4*K_elbow + K_lift_valve\n", "K_tot += K_from_f(fd=fd, L=L, D=Di)\n", "\n", "dP = dP_from_K(K=K_tot, rho=rho, V=v) + rho*dH*1*u.gravity\n", "dP.to(u.psi), v.to(u.foot/u.s)\n", "\n", "head = head_from_P(dP, rho).to(u.foot)\n", "print('head = %s' %head)\n", "power = Q*dP/efficiency\n", "print('power = %s' %(power.to(u.hp)))" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "The values given in Crane are 421 feet of head and 15.2 hp." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.5" } }, "nbformat": 4, "nbformat_minor": 1 } fluids-1.0.22/docs/Examples/Crane TP 410 Solved Problems/7.33 Pump Affinity Rules.ipynb0000644000175000017500000000404514302004506027061 0ustar nileshnilesh{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 7.33 Pump Affinity Rules" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Given: For the 6\" impeller trim on the curve below, the pump produces 126' of head and 400 gpm while running at 3500 rpm. The brake horsepower is 17.5 hp in that case.\n", "\n", "Find the flow rate, head, and power of this operating point if the speed is changed to 1700 rpm." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:20:00.232476Z", "iopub.status.busy": "2022-08-22T01:20:00.231902Z", "iopub.status.idle": "2022-08-22T01:20:00.928427Z", "shell.execute_reply": "2022-08-22T01:20:00.927526Z" } }, "outputs": [ { "data": { "text/plain": [ "(194.28571428571428 ,\n", " 29.725714285714286 ,\n", " 2.0053061224489794 )" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from fluids.units import *\n", "head1 = 126*u.foot\n", "Q1 = 400*u.gal/u.min\n", "rpm1 = 3500*u.rpm\n", "power1 = 17.5*u.hp\n", "\n", "rpm2 = 1700*u.rpm\n", "\n", "Q2 = rpm2/rpm1*Q1\n", "head2 = head1*(rpm2/rpm1)**2\n", "power2 = power1*(rpm2/rpm1)**3\n", "\n", "Q2, head2, power2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The values match those given in Crane." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.5" } }, "nbformat": 4, "nbformat_minor": 1 } fluids-1.0.22/docs/Examples/Crane TP 410 Solved Problems/7.5 Lift Check Valves.ipynb0000644000175000017500000000634514302004506026374 0ustar nileshnilesh{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 7.5 Lift Check Valves" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A lift check valve of type globe (with a wing-guided disc) is added to a 80 mm Schedule 40 horizontal pipe carrying water at a flow rate of 300 L/min.\n", "\n", "Calculate the check valve size, and pressure drop. The disc should be fully lifted at the specified flow." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:20:28.599411Z", "iopub.status.busy": "2022-08-22T01:20:28.598916Z", "iopub.status.idle": "2022-08-22T01:20:29.270384Z", "shell.execute_reply": "2022-08-22T01:20:29.269617Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Minimum velocity = 1.5825637790011153 meter / second\n", "Velocity in 80 mm valve = 1.0490717871198245 meter / second\n", "Minimum velocity = 1.0252301935349282 meter / second\n", "Velocity in 60 mm valve = 1.6193660919636594 meter / second\n", "Loss coefficient = 24.87967662305315 dimensionless\n", "Pressure drop = 13666.040906803597 pascal\n" ] } ], "source": [ "from fluids.units import *\n", "from math import *\n", "Q = 300*u.L/u.min\n", "D_80 = 77.9*u.mm\n", "\n", "rho = 998.2*u.kg/u.m**3\n", "# Try: schedule 40, 80 mm valve\n", "D_60 = 62.7*u.mm\n", "v_lift = v_lift_valve_Crane(rho=rho, D1=D_80, D2=D_80, style='lift check straight')\n", "print('Minimum velocity = %s' %v_lift)\n", "\n", "v = Q/(pi/4*D_80**2)\n", "print('Velocity in 80 mm valve = %s' %v.to_base_units())\n", "\n", "# v is lower than the lift velocity; try the 60 mm valve\n", "v_lift = v_lift_valve_Crane(rho=rho, D1=D_60, D2=D_80, style='lift check straight')\n", "print('Minimum velocity = %s' %v_lift)\n", "\n", "v = Q/(pi/4*D_60**2)\n", "print('Velocity in 60 mm valve = %s' %v.to_base_units())\n", "# The desired velocity is close enough\n", "\n", "fd = 0.017 # given, 80 mm pipe upstream\n", "K2 = K_lift_check_valve_Crane(D_60, D_80, fd=fd, angled=False)\n", "print('Loss coefficient = %s'%K2)\n", "v_pipe = Q/(pi/4*D_80**2)\n", "\n", "dP = 0.5*rho*v_pipe**2*K2\n", "print('Pressure drop = %s' %dP.to(u.Pa))" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "The values calculated in the example are K2 = 26.3 and pressure drop = 14450 Pa. Interestingly, the formula for minimum lift velocity used in their example does not use the ratio of diameters as the formula in their appendix shows. Otherwise the examples match.\n" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.5" } }, "nbformat": 4, "nbformat_minor": 1 } fluids-1.0.22/docs/Examples/Crane TP 410 Solved Problems/7.4 Venturi Type Valves.ipynb0000644000175000017500000000523114302004506027026 0ustar nileshnilesh{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 7.4 Venturi Type Valves" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A 150 by 100 mm class 600 steel gate valve, conically tapered ports, length 550 mm, back of seat ring ~150 mm. The valve is connected to 146 mm schedule 80 pipe. The angle can be calculated to be 13 degrees. The valve is specified to be operating in turbulent conditions." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:20:24.154448Z", "iopub.status.busy": "2022-08-22T01:20:24.153316Z", "iopub.status.idle": "2022-08-22T01:20:24.843644Z", "shell.execute_reply": "2022-08-22T01:20:24.842865Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Darcy friction factor = 0.02015036859256496 dimensionless\n", "K2 = 1.3330449717924238 dimensionless\n", "Equivalent length L_D = 66.15486787096728 dimensionless\n", "Length for flow in complete turbulence = 9.658610709161223 meter\n" ] } ], "source": [ "from fluids.units import *\n", "D1 = 100*u.mm\n", "D2 = 146*u.mm\n", "angle = 13.115*u.degrees\n", "fd = friction_factor(Re=1E5, eD=.0018*u.inch/D1)\n", "\n", "K2 = K_gate_valve_Crane(D1, D2, angle, fd)\n", "L_D = L_equiv_from_K(K2, fd)\n", "L = (L_D*D2).to(u.m)\n", "\n", "print('Darcy friction factor = %s' %fd)\n", "print('K2 = %s' %K2)\n", "print('Equivalent length L_D = %s' %L_D)\n", "print('Length for flow in complete turbulence = %s' %L)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "The values calculated in the problem use a friction factor of 0.015; this is the source of the discrepancies. Their procedure for loss in valves and fittings is based around the roughness of commercial steel pipe with a roughness of 0.0018 inches, but in their examples they simply look their friction factors up in a table which does not consider the diameter of the pipe.\n", "Their calculated values are K2 = 1.22, L/D=81.3, and L = 11.9." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.5" } }, "nbformat": 4, "nbformat_minor": 1 } ././@LongLink0000644000000000000000000000016600000000000011606 Lustar rootrootfluids-1.0.22/docs/Examples/Crane TP 410 Solved Problems/7.12 Orifice Size for Given Pressure Drop and Velocity.ipynbfluids-1.0.22/docs/Examples/Crane TP 410 Solved Problems/7.12 Orifice Size for Given Pressure Drop a0000644000175000017500000001167114302004506031145 0ustar nileshnilesh{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 7.12 Orifice Size for Given Pressure Drop and Velocity" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A 12\" schedule 40 steel pipe is 60 feet long; it serves\n", "to connect water from a reservoir to the atmosphere.\n", "The water is 60 deg F and the elevation distance of the pipe\n", "is 12 feet.\n", "\n", "The pipe also contains a gate valve 10' from the entrance. The entrance into the reservoir is at a distance from the wall.\n", "\n", "Find the diameter of a standard orifice plate to make the flow velocity exactly 10 ft/s.\n" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:18:03.222609Z", "iopub.status.busy": "2022-08-22T01:18:03.222057Z", "iopub.status.idle": "2022-08-22T01:18:04.154376Z", "shell.execute_reply": "2022-08-22T01:18:04.153348Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Numerical solver progress:\n", "131456.15219585435 0.5 0.6039115256189872\n", "131207.12176475654 0.50015 0.6039153509057876\n", "45473.862634446166 0.5791807761904849 0.6054825449702658\n", "22370.32441146282 0.6210574900828658 0.6055902955169561\n", "7540.117114796503 0.6616052047236758 0.6047579998102253\n", "1943.8952815589291 0.6822208651128452 0.603821274023946\n", "240.43355375056126 0.689381890202793 0.6033941586008842\n", "9.046411468669248 0.6903926265655572 0.6033292369143312\n", "0.0442207298365247 0.6904321427501375 0.6033266747856294\n", "8.184524631360546e-06 0.6904323368622791 0.6033266621954346\n", "4.729372449219227e-11 0.6904323368982127 0.6033266621931039\n", "Size is:\n", "8.241152594519694 inch\n" ] } ], "source": [ "from fluids.units import *\n", "from fluids.constants import g\n", "from math import pi\n", "from scipy.optimize import newton\n", "g = g*u.m/u.s**2\n", "\n", "dH = 12*u.foot\n", "L = (60)*u.foot\n", "mu = 1.1*u.cP\n", "rho = 62.364*u.lb/u.ft**3\n", "\n", "NPS, Di, Do, t = nearest_pipe(Do=12*u.inch, schedule='40')\n", "\n", "v = 10*u.foot/u.s\n", "A = 0.25*pi*Di**2\n", "m = v*A*rho\n", "Re = rho*v*Di/mu\n", "\n", "# Approximately match their friction factor, roughness not specified\n", "fd = friction_factor(Re=Re, eD=0.0006*u.inch/Di)\n", "ft = ft_Crane(Di) # Not needed\n", "\n", "K_entrance = entrance_distance(Di=Di, method='Crane')\n", "K_exit = exit_normal()\n", "K_gate = K_gate_valve_Crane(D1=Di, D2=Di, angle=0.0*u.degrees)\n", "\n", "K_tot = K_entrance + K_exit + K_gate\n", "K_tot += K_from_f(fd=fd, L=L, D=Di)\n", "\n", "dP = dP_from_K(K=K_tot, rho=rho, V=v)\n", "k = 1.33\n", "\n", "dP_gravity = rho*g*dH\n", "\n", "dP_meter = dP_gravity - dP\n", "meter_type = 'ISO 5167 orifice'\n", "orifice_taps = 'corner'\n", "\n", "# P2 is assumed - does have an impact but it is minimal\n", "P2 = 1e6*u.Pa\n", "P1 = (P2 + dP_meter*2.5)\n", "print('Numerical solver progress:')\n", "def to_solve(beta):\n", " # Do not know orifice measured dP or C, only actual dP \n", " D2 = Di*beta\n", " \n", " # Solve for upstream pressure given actual flow rate and guessed diameter\n", " P1 = differential_pressure_meter_solver(Di, rho, mu, k, D2=D2, P2=P2, \n", " m=m, meter_type=meter_type, \n", " taps=orifice_taps)\n", " \n", " # Calculate `C`\n", " C, expansibility = differential_pressure_meter_C_epsilon(Di, D2, m, P1, P2, rho, mu, k, \n", " meter_type=meter_type, taps=orifice_taps)\n", " \n", " # Caclulate what the guessed orifice actual dP is\n", " calc_dP = dP_orifice(D=Di, Do=D2, P1=P1, P2=P2, C=C)\n", " err = (calc_dP - dP_meter).to_base_units()\n", " print(err.magnitude, beta, C.magnitude)\n", " return err.magnitude\n", "beta = newton(to_solve, .5, tol=1e-13)\n", "print('Size is:')\n", "print((Di*beta).to(u.inch))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The answer given in Crane is 7.94 inches, but only three iterations are performed there." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.5" } }, "nbformat": 4, "nbformat_minor": 1 } ././@LongLink0000644000000000000000000000022700000000000011604 Lustar rootrootfluids-1.0.22/docs/Examples/Crane TP 410 Solved Problems/7.8 Laminar flow in Valves, Fittings, and Pipe - SAE oil through a pipe and globe valve.ipynbfluids-1.0.22/docs/Examples/Crane TP 410 Solved Problems/7.8 Laminar flow in Valves, Fittings, and P0000644000175000017500000000463014302004506031063 0ustar nileshnilesh{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 7.8 Laminar flow in Valves, Fittings, and Pipe - SAE oil through a pipe and globe valve" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "S.A.E. 30 Oil at 40 degrees Celsius and a flow rate of 600 barrels/hour flows in a 60 m long 200 mm schedule 40 pipe and passes through a 200 mm globe valve, full area seat.\n", "\n", "Calculate the pressure drop." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:20:43.474143Z", "iopub.status.busy": "2022-08-22T01:20:43.473770Z", "iopub.status.idle": "2022-08-22T01:20:44.212899Z", "shell.execute_reply": "2022-08-22T01:20:44.212341Z" } }, "outputs": [ { "data": { "text/html": [ "4575.571013232576 pascal" ], "text/latex": [ "$4575.571013232576\\ \\mathrm{pascal}$" ], "text/plain": [ "4575.571013232576 " ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from fluids.units import *\n", "from thermo import Stream\n", "from math import *\n", "Q = 600*u.barrel/u.hour\n", "L = 60*u.m\n", "NPS, D_pipe, Do_pipe, t = nearest_pipe(Di=200*u.mm)\n", "\n", "rho = 869.2*u.kg/u.m**3\n", "mu = 130*u.cP\n", "\n", "V = Q/(pi/4*D_pipe**2)\n", "Re = Reynolds(D=D_pipe, V=V, rho=rho, mu=mu)\n", "fd = friction_factor(Re=Re)\n", "ft = friction_factor(Re=1E6, eD=0.0018*u.inch/D_pipe)\n", "K = K_globe_valve_Crane(D1=D_pipe, D2=D_pipe, fd=ft)\n", "K += K_from_f(fd=fd, L=L, D=D_pipe)\n", "dP_from_K(K=K, V=V, rho=rho)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "The example gives a pressure drop of 6382 Pa." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.5" } }, "nbformat": 4, "nbformat_minor": 0 } ././@LongLink0000644000000000000000000000014600000000000011604 Lustar rootrootfluids-1.0.22/docs/Examples/Crane TP 410 Solved Problems/7.13 Flow given in English Units - Oil.ipynbfluids-1.0.22/docs/Examples/Crane TP 410 Solved Problems/7.13 Flow given in English Units - Oil.ipyn0000644000175000017500000000676714302004506031051 0ustar nileshnilesh{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 7.13 Flow given in English Units - Oil" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Fuel oil at a specific gravity of 0.815 (kinematic viscosity of 2.7 centistokes) flows at 2 inch, schedule 40 steel pipe 100 foot long at a rate of 2 US gallons/second.\n", "\n", "Calculate the pressure drop in bars and psi." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:18:08.543573Z", "iopub.status.busy": "2022-08-22T01:18:08.543028Z", "iopub.status.idle": "2022-08-22T01:18:09.299434Z", "shell.execute_reply": "2022-08-22T01:18:09.298394Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Darcy friction factor = 0.02270215687134065 dimensionless\n", "Pressure drop = 65759.12280469094 pascal\n", "In imperial, pressure drop = 9.537554406715385 pound_force_per_square_inch\n" ] } ], "source": [ "from math import *\n", "from fluids.units import *\n", "from thermo import *\n", "\n", "SG = 0.815\n", "rho = SG*999.1*u.kg/u.m**3\n", "nu = 2.7*u.centistokes\n", "mu = nu_mu_converter(rho, nu=nu)\n", "Q = 2*u.gal/u.s\n", "L = 100*u.foot\n", "\n", "NPS, D_pipe, Do_pipe, t = nearest_pipe(Di=2*u.inch)\n", "v = Q/(pi/4*D_pipe**2)\n", "Re = Reynolds(rho=rho, mu=mu, D=D_pipe, V=v)\n", "fd = friction_factor(Re=Re, eD=0.0018*u.inch/D_pipe)\n", "print('Darcy friction factor = %s' %fd)\n", "K_friction = K_from_f(fd=fd, L=L, D=D_pipe)\n", "dP = dP_from_K(K=K_friction, rho=rho, V=v)\n", "print('Pressure drop = %s' %dP.to(u.Pa))\n", "print('In imperial, pressure drop = %s' %dP.to(u.psi))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The pressure drop calculated in the example is 66500 Pa (9.65 psi). The discrepancy is from their friction factor; they use 0.0230. The result is matched exactly if their friction factor is used." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:18:09.326736Z", "iopub.status.busy": "2022-08-22T01:18:09.325953Z", "iopub.status.idle": "2022-08-22T01:18:09.334016Z", "shell.execute_reply": "2022-08-22T01:18:09.333125Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Darcy friction factor = 0.023\n", "Pressure drop = 66621.85593551381 pascal\n", "In imperial, pressure drop = 9.662683268274836 pound_force_per_square_inch\n" ] } ], "source": [ "fd = 0.023\n", "print('Darcy friction factor = %s' %fd)\n", "K_friction = K_from_f(fd=fd, L=L, D=D_pipe)\n", "dP = dP_from_K(K=K_friction, rho=rho, V=v)\n", "print('Pressure drop = %s' %dP.to(u.Pa))\n", "print('In imperial, pressure drop = %s' %dP.to(u.psi))" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.5" } }, "nbformat": 4, "nbformat_minor": 1 } ././@LongLink0000644000000000000000000000015500000000000011604 Lustar rootrootfluids-1.0.22/docs/Examples/Crane TP 410 Solved Problems/7.26 Pipe Partially Filled with Flowing Water.ipynbfluids-1.0.22/docs/Examples/Crane TP 410 Solved Problems/7.26 Pipe Partially Filled with Flowing Wat0000644000175000017500000000777614302004506031270 0ustar nileshnilesh{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 7.26 Pipe Partially Filled with Flowing Water" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Given a cast iron pipe is 2/3 filled with a steady, uniform flow of water at 60 deg F. \n", "The pipe has an inside diameter of 24\" and a slope of .75\"/foot\n", "\n", "Find the flow rate in gallons/minute." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true, "execution": { "iopub.execute_input": "2022-08-22T01:19:25.601395Z", "iopub.status.busy": "2022-08-22T01:19:25.600676Z", "iopub.status.idle": "2022-08-22T01:19:26.289020Z", "shell.execute_reply": "2022-08-22T01:19:26.288222Z" } }, "outputs": [], "source": [ "from fluids.units import *\n", "from math import pi\n", "Di = 24*u.inch\n", "depth = 2/3*Di\n", "S = 0.75*u.inch/u.ft\n", "rho = 62.364*u.lb/u.ft**3\n", "mu = 1.1*u.cP\n", "eD = 0.00036 # roughness not given in problem, only relative roughness" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:19:26.294894Z", "iopub.status.busy": "2022-08-22T01:19:26.294183Z", "iopub.status.idle": "2022-08-22T01:19:26.311411Z", "shell.execute_reply": "2022-08-22T01:19:26.310633Z" } }, "outputs": [ { "data": { "text/plain": [ "(0.20670024467339204 ,\n", " 1.1647220208174018 ,\n", " 0.1774674480081778 ,\n", " 0.7098697920327112 )" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Use the TANK class to make the geometry easier\n", "tank = TANK(D=Di, L=1e-100*u.m, horizontal=True)\n", "A = tank.SA_from_h(depth)/2 # wetted surface area of a paper thin tank - divide by two as there is only one side\n", "\n", "tank = TANK(D=Di, L=1e100*u.m, horizontal=True)\n", "P = tank.SA_from_h(depth)/tank.L\n", "\n", "Rh = A/P\n", "Dh = 4*Rh\n", "A, P, Rh, Dh" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:19:26.334062Z", "iopub.status.busy": "2022-08-22T01:19:26.333126Z", "iopub.status.idle": "2022-08-22T01:19:26.351280Z", "shell.execute_reply": "2022-08-22T01:19:26.350468Z" } }, "outputs": [ { "data": { "text/html": [ "24410.948055443227 gallon/minute" ], "text/latex": [ "$24410.948055443227\\ \\frac{\\mathrm{gallon}}{\\mathrm{minute}}$" ], "text/plain": [ "24410.948055443227 " ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# 10 meter length basis assumed\n", "L = 10.0*u.m\n", "dH = L*S\n", "dP = dH*rho*u.gravity\n", "\n", "fd = .0155 # initial guess\n", "for i in range(5):\n", " K = K_from_f(fd=fd, L=L, D=Dh)\n", " v = (2*dP/(K*rho))**0.5\n", " Q = A*v\n", " # update friction factor\n", " Re = Reynolds(D=Dh, rho=rho, mu=mu, V=v)\n", " fd = friction_factor(Re=Re, eD=eD)\n", "Q.to(u.gal/u.min)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The solution given in Crane is 24500 gpm without iteration." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.5" } }, "nbformat": 4, "nbformat_minor": 1 } ././@LongLink0000644000000000000000000000015400000000000011603 Lustar rootrootfluids-1.0.22/docs/Examples/Crane TP 410 Solved Problems/7.36 Hydraulic Resistance of a Diverging Wye.ipynbfluids-1.0.22/docs/Examples/Crane TP 410 Solved Problems/7.36 Hydraulic Resistance of a Diverging Wy0000644000175000017500000000635514302004506031276 0ustar nileshnilesh{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 7.36 Hydraulic Resistance of a Diverging Wye" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Given that 60 deg F water flows through a 6\" sched 80 45 degree wye with equal leg diameters, 250 gpm flows through the branch leg and 400 gpm flows through the straight leg.\n", "\n", "Find the loss coefficients for the straight leg, and the branch leg, as well as the loss coefficients for each flow path. " ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:20:14.432703Z", "iopub.status.busy": "2022-08-22T01:20:14.432242Z", "iopub.status.idle": "2022-08-22T01:20:15.187520Z", "shell.execute_reply": "2022-08-22T01:20:15.186278Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The combined velocity is 7.996972275001512 foot / second\n", "The branch loss coefficient is 0.46461592374032235 dimensionless\n", "The run loss coefficient is -0.06827492034592626 dimensionless\n", "The branch head loss is 0.4617528263268458 foot\n", "The run head loss is -0.06785419058213756 foot\n" ] } ], "source": [ "from fluids.units import *\n", "from math import pi\n", "NPS, Di, Do, t = nearest_pipe(NPS=6, schedule='80')\n", "\n", "A = 0.25*pi*Di**2\n", "beta = 1 # same diameters\n", "\n", "rho = 998*u.kg/u.m**3\n", "\n", "Q_tot = (250+400)*u.gal/u.min\n", "Q_straight = 400*u.gal/u.min\n", "Q_branch = 250*u.gal/u.min\n", "\n", "v_combined = Q_tot/A\n", "print('The combined velocity is %s' %(v_combined.to(u.ft/u.s)))\n", "branch_flow_ratio = Q_branch/Q_tot\n", "\n", "v_main = Q_straight/A\n", "v_leg = Q_branch/A\n", "\n", "K_branch = K_branch_diverging_Crane(D_run=Di, D_branch=Di, Q_run=Q_straight, Q_branch=Q_branch, angle=45.0*u.degrees)\n", "print('The branch loss coefficient is %s' %(K_branch))\n", "K_run = K_run_diverging_Crane(D_run=Di, D_branch=Di, Q_run=Q_straight, Q_branch=Q_branch, angle=45.0*u.degrees)\n", "print('The run loss coefficient is %s' %(K_run))\n", "\n", "head_loss_branch = 0.5*rho*v_combined**2*K_branch/(1*u.gravity*rho)\n", "print('The branch head loss is %s' %(head_loss_branch.to(u.ft)))\n", "\n", "head_loss_run = 0.5*rho*v_combined**2*K_run/(1*u.gravity*rho)\n", "print('The run head loss is %s' %(head_loss_run.to(u.ft)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The values presented in crane match very nearly exactly; this type of a problem does not require any iteration, unless the density of the fluid is variable." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.5" } }, "nbformat": 4, "nbformat_minor": 1 } fluids-1.0.22/docs/Examples/Crane TP 410 Solved Problems/7.20 Steam at Sonic Velocity.ipynb0000644000175000017500000000663414302004506027606 0ustar nileshnilesh{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 7.20 Steam at Sonic Velocity" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Given: A header contains 170 psi saturated steam which feeds a pulp stock digester through 30 feet of 2\" schedule 40 pipe. It includes 1 standard 90 degree elbow, a fully open conventional plug type disc global valve. The initial pressure in the digester is atmospheric.\n", "\n", "Find the initial flow rate in pounds/hour." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:18:51.867905Z", "iopub.status.busy": "2022-08-22T01:18:51.867250Z", "iopub.status.idle": "2022-08-22T01:18:52.661019Z", "shell.execute_reply": "2022-08-22T01:18:52.659973Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The mass flow rate is found to be 11626.328806003183 pound / hour\n" ] } ], "source": [ "from fluids.units import *\n", "from math import pi\n", "from CoolProp.CoolProp import PropsSI\n", "P1 = 170*u.psi\n", "P2_spec = P2 = 1*u.atm\n", "L = 30*u.foot\n", "NPS, D_pipe, Do_pipe, t = nearest_pipe(NPS=2, schedule=40)\n", "A = 0.25*pi*D_pipe**2\n", "\n", "fd = 0.019 # assumed, initial guess\n", "Re = 1e6 # also assumed\n", "mu = 1.8e-8*u.Pa*u.s\n", "\n", "rho = 5.988612037578836*u.kg/u.m**3 # Density at inlet from steam tables\n", "roughness = 0.0018*u.inch\n", "\n", "for i in range(5):\n", " K = K_from_f(fd=fd, L=L, D=D_pipe)\n", " K += entrance_sharp()\n", " K += exit_normal()\n", " K += K_globe_valve_Crane(D1=D_pipe, D2=D_pipe)\n", " K += bend_rounded(Di=D_pipe, angle=90*u.degrees, fd=fd, \n", " Re=Re, roughness=roughness, method='Crane')\n", " \n", " # lump the losses together for the `isothermal_gas` function\n", " fd_tot = f_from_K(L=L, D=D_pipe, K=K)\n", " \n", " P2_choke = P_isothermal_critical_flow(P=P1, fd=fd_tot, D=D_pipe, L=L)\n", " if P2_choke.to_base_units().magnitude > P2_spec.to_base_units().magnitude:\n", " P2 = P2_choke\n", " else:\n", " P2 = P2_spec\n", " \n", " m = isothermal_gas(rho=rho, fd=fd_tot, P1=P1, P2=P2, L=L, D=D_pipe)\n", " Q = m/rho\n", " v = Q/A\n", " # update friction factor\n", " Re = Reynolds(D=D_pipe, rho=rho, mu=mu, V=v)\n", " fd = friction_factor(Re=Re, eD=roughness/D_pipe)\n", "\n", "# choke pressure found to be 3 bar instead of 2.5 in Crane example\n", "print('The mass flow rate is found to be %s' %(m.to(u.lb/u.hour)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The values given in Crane are 11770 and 11160 lb/hour for the Darcy and the Sonic Velocity and Continuity equations." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.5" } }, "nbformat": 4, "nbformat_minor": 1 } ././@LongLink0000644000000000000000000000017200000000000011603 Lustar rootrootfluids-1.0.22/docs/Examples/Crane TP 410 Solved Problems/7.2 L, L over D and K from Kv for Conventional Type Valves.ipynbfluids-1.0.22/docs/Examples/Crane TP 410 Solved Problems/7.2 L, L over D and K from Kv for Conventio0000644000175000017500000000415114302004506030527 0ustar nileshnilesh{ "cells": [ { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "# 7.2 L, L over D and K from Kv for Conventional Type Valves" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A 150 mm class 125 Y-pattern globe valve with a Kv=500 flow coefficient is given.\n", "\n", "Calculate the resistance coefficient K, L/D equivalent, and the length for complete turbulence in the flow.\n", "\n", "Use schedule 40, 150 mm pipe as a reference." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:19:46.259300Z", "iopub.status.busy": "2022-08-22T01:19:46.258868Z", "iopub.status.idle": "2022-08-22T01:19:46.885721Z", "shell.execute_reply": "2022-08-22T01:19:46.885019Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Loss coefficient = 3.5996713983999995 dimensionless\n", "Equivalent length = 239.97809322666663 dimensionless\n", "Length for complete turbulence = 36.95662635690666 meter\n" ] } ], "source": [ "from fluids.units import *\n", "D = .154*u.m\n", "Kv = 500*u.m**3/u.hour\n", "\n", "K = Kv_to_K(Kv, D)\n", "L_D = L_equiv_from_K(K, fd=.015)\n", "L = D*L_D\n", "\n", "print('Loss coefficient = %s' %K)\n", "print('Equivalent length = %s' % L_D)\n", "print('Length for complete turbulence = %s' %L)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The results calculated in Crane TP 410M are 3.6, 240, and 37.0 respectively." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.5" } }, "nbformat": 4, "nbformat_minor": 0 } fluids-1.0.22/docs/Examples/Crane TP 410 Solved Problems/7.21 Gases at Sonic Velocity.ipynb0000644000175000017500000000710414302004506027571 0ustar nileshnilesh{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 7.21 Gases at Sonic Velocity" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Coke oven gas has a specific gravity of 0.42, a header pressure of 125 psig, and is at 140 deg F. It flows through 20 feet of 3\" schedule 40 pipe and is discharged to the atmosphere.\n", "\n", "Find the flow rate in standard cubic feet per hour." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:18:59.434266Z", "iopub.status.busy": "2022-08-22T01:18:59.433611Z", "iopub.status.idle": "2022-08-22T01:19:00.307991Z", "shell.execute_reply": "2022-08-22T01:19:00.306149Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1176795.8398551396 foot ** 3 / hour\n", "922482.9941880251 foot ** 3 / hour\n", "922210.5721001471 foot ** 3 / hour\n", "922210.2011294398 foot ** 3 / hour\n", "922210.2006241237 foot ** 3 / hour\n" ] } ], "source": [ "from fluids.units import *\n", "from math import pi\n", "SG = 0.42\n", "P1 = 125*u.psi + 1.0*u.atmosphere\n", "P2 = 1.0*u.atmosphere\n", "roughness = 0.0018*u.inch\n", "\n", "L = 20*u.foot\n", "mu = 1.8e-5 # good guess\n", "\n", "NPS, Di, Do, t = nearest_pipe(NPS=3, schedule='40')\n", "A = 0.25*pi*Di**2\n", "\n", "fd = 0.0175 # initial guess\n", "P_choke = P_isothermal_critical_flow(P=P1, fd=fd, L=L, D=Di)*(1+1e-10)\n", "P_rat_rho = (0.5*(P1 + P_choke)/(1.0*u.atmosphere)).to_base_units()\n", "\n", "for i in range(5):\n", " rho = 1.2*u.kg/u.m**3*SG*P_rat_rho\n", " m = isothermal_gas(rho, fd, P1=P1, P2=P_choke, L=L, D=Di)\n", " Q_actual = (m/rho).to(u.ft**3/u.hour)\n", " Q_std = Q_actual*P_rat_rho # convert to SI\n", " v = Q_actual/A\n", " Re = rho*v*Di/mu\n", " fd = friction_factor(Re=Re, eD=roughness/Di)\n", " K = exit_normal() + entrance_sharp(method='Crane')\n", " \n", " # Increase fd so it accounts for all the extra losses\n", " fd += K*Di/L\n", " P_choke = P_isothermal_critical_flow(P=P1, fd=fd, L=L, D=Di)*(1+1e-10)\n", " P_rat_rho = (0.5*(P1 + P_choke)/(1.0*u.atmosphere)).to_base_units()\n", " print(Q_std)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The result given in Crane is 1028000 ft^3/hour, which is 10% higher than this result.\n", "The crane result assumes isentropic flow whereas this is for isothermal flow. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "THe most accurate answer that can be obtained for this case would be quite a bit better than either solution here. A thermodynamic calculation of the direct conditions of choke:\n", " \n", " speed of sound of the fluid is the speed of the fluid\n", " energy is maintained\n", "However, without the composition of the gas there is no point in trying to obtain a better result." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.5" } }, "nbformat": 4, "nbformat_minor": 1 } fluids-1.0.22/docs/Examples/Crane TP 410 Solved Problems/7.16 Air Lines.ipynb0000644000175000017500000001152714302004506025105 0ustar nileshnilesh{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 7.16 Air Lines" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Air at 65 psig and 115 deg F flows through 75 feet of 1\" schedule 40 pipe at a rate of 100 cubic feet/minute.\n", "\n", "Find the pressure drop in psi and the velocity in feet per minute at the inlet and the outlet." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true, "execution": { "iopub.execute_input": "2022-08-22T01:18:24.891086Z", "iopub.status.busy": "2022-08-22T01:18:24.890455Z", "iopub.status.idle": "2022-08-22T01:18:25.568478Z", "shell.execute_reply": "2022-08-22T01:18:25.567184Z" } }, "outputs": [], "source": [ "from fluids.units import *\n", "from math import pi\n", "P1 = 65*u.psi + 1*u.standard_atmosphere" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:18:25.574358Z", "iopub.status.busy": "2022-08-22T01:18:25.573666Z", "iopub.status.idle": "2022-08-22T01:18:25.631532Z", "shell.execute_reply": "2022-08-22T01:18:25.630949Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Ratio of actual to standard flow: 0.20407676712438672\n" ] } ], "source": [ "# Take nitrogen-oxygen as air\n", "from thermo import PRMIX\n", "zs = [0.79, 0.21]\n", "Tcs = [126.2, 154.58]\n", "Pcs = [3394387.5, 5042945.25]\n", "omegas = [0.04, 0.021]\n", "\n", "eos_flowing = PRMIX(T=(115*u.degF).to(u.K).magnitude, P=P1.to(u.Pa).magnitude, zs=zs, Tcs=Tcs, Pcs=Pcs, omegas=omegas)\n", "eos_std = PRMIX(T=288.15, P=101325.0, zs=zs, Tcs=Tcs, Pcs=Pcs, omegas=omegas)\n", "V_ratio = eos_flowing.V_g/eos_std.V_g\n", "print('Ratio of actual to standard flow: %s' %(V_ratio))" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:18:25.659405Z", "iopub.status.busy": "2022-08-22T01:18:25.658802Z", "iopub.status.idle": "2022-08-22T01:18:25.743803Z", "shell.execute_reply": "2022-08-22T01:18:25.742408Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "pressure drop = 2.714842967501866 pound_force_per_square_inch\n", "upstream speed = 3401.458438219272 foot / minute\n" ] } ], "source": [ "NPS, Di, Do, t = nearest_pipe(NPS=1, schedule='40')\n", "Q = V_ratio*100*u.ft**3/u.min\n", "L = 75*u.ft\n", "\n", "MW = 28.958*u.g/u.mol\n", "Vm = eos_flowing.V_g*u.m**3/u.mol\n", "rho = (Vm)**-1*MW\n", "\n", "mu = 1.93e-5*u.Pa\n", "\n", "A = 0.25*pi*Di**2\n", "\n", "v0 = Q/A\n", "m = v0*A*rho\n", "\n", "Re = rho*v0*Di/mu\n", "fd = friction_factor(Re=Re, eD=0.0018*u.inch/Di)\n", "P2 = isothermal_gas(rho=rho, fd=fd, P1=P1, P2=None, L=L, D=Di, m=m)\n", "\n", "print('pressure drop = %s' %(P1-P2))\n", "print('upstream speed = %s' %(v0.to(u.ft/u.min)))" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:18:25.749095Z", "iopub.status.busy": "2022-08-22T01:18:25.748339Z", "iopub.status.idle": "2022-08-22T01:18:25.759002Z", "shell.execute_reply": "2022-08-22T01:18:25.757827Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "downstream speed = 3521.6227060753677 foot / minute\n" ] } ], "source": [ "eos_end = PRMIX(T=(115*u.degF).to(u.K).magnitude, P=P2.to(u.Pa).magnitude, zs=zs, Tcs=Tcs, Pcs=Pcs, omegas=omegas)\n", "Vm2 = eos_end.V_g*u.m**3/u.mol\n", "rho2 = (Vm2)**-1*MW\n", "print('downstream speed = %s' %((v0*rho/rho2).to(u.ft/u.min)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The answers given in Crane are 2.61 psi; and 3367 and 3484 ft/min respectively. A tabular method is used there of limited accuracy.\n", "\n", "For compressible fluids, there is a benefit to breaking the problem up into sections and performing the calculation to each of them, preferably while including the JT effect and heat loss/gain." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.5" } }, "nbformat": 4, "nbformat_minor": 1 } ././@LongLink0000644000000000000000000000021000000000000011574 Lustar rootrootfluids-1.0.22/docs/Examples/Crane TP 410 Solved Problems/7.7 Laminar flow in Valves, Fittings, and Pipe - System from Example 7.6.ipynbfluids-1.0.22/docs/Examples/Crane TP 410 Solved Problems/7.7 Laminar flow in Valves, Fittings, and P0000644000175000017500000001166514302004506031070 0ustar nileshnilesh{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 7.7 Laminar flow in Valves, Fittings, and Pipe - System from Example 7.6" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "SAE oil is discharged at 15 degrees Celsius from a tank with 7 m of head to atmosphere through:\n", "\n", "* 60 meters of 80 mm schedule 40 pipe\n", "* Six 80 mm standard 90 degree threaded elbows\n", "* One 80 mm flanged ball valve, with a 60 mm diameter seat, 16 degree conical inlet and 30 degree conical outlet.\n", "* The entrance is sharp-edged and flush with the tank\n", "\n", "This is the same problem as 7.6, except the properties of the fluid are sufficiently viscous to put it into the laminar regime although not by much." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:20:38.797193Z", "iopub.status.busy": "2022-08-22T01:20:38.796510Z", "iopub.status.idle": "2022-08-22T01:20:39.576311Z", "shell.execute_reply": "2022-08-22T01:20:39.575438Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Flow rate = 792.5474399133158 liter / minute, Reynolds number = 100000.0\n", "Flow rate = 494.99657487971655 liter / minute, Reynolds number = 2421.3002237645055 dimensionless\n", "Flow rate = 520.378830860645 liter / minute, Reynolds number = 1512.2568784652317 dimensionless\n", "Flow rate = 532.8826141070547 liter / minute, Reynolds number = 1589.8018416954353 dimensionless\n", "Flow rate = 538.9130067993693 liter / minute, Reynolds number = 1628.0019690919053 dimensionless\n", "Flow rate = 541.7921133079537 liter / minute, Reynolds number = 1646.4253346091618 dimensionless\n", "Flow rate = 543.1601058671454 liter / minute, Reynolds number = 1655.2212512728256 dimensionless\n", "Flow rate = 543.8086222080263 liter / minute, Reynolds number = 1659.4005855597939 dimensionless\n", "Flow rate = 544.1157293288044 liter / minute, Reynolds number = 1661.3818584555358 dimensionless\n", "Flow rate = 544.2610867599517 liter / minute, Reynolds number = 1662.3200969795807 dimensionless\n", "Flow rate = 544.3298695405146 liter / minute, Reynolds number = 1662.7641763656693 dimensionless\n", "Flow rate = 544.3624136657237 liter / minute, Reynolds number = 1662.9743136439959 dimensionless\n", "Flow rate = 544.3778108746269 liter / minute, Reynolds number = 1663.073738730347 dimensionless\n", "Flow rate = 544.3850953838348 liter / minute, Reynolds number = 1663.1207785206302 dimensionless\n", "Flow rate = 544.388541685874 liter / minute, Reynolds number = 1663.1430333193803 dimensionless\n", "Flow rate = 544.3901721223835 liter / minute, Reynolds number = 1663.1535620669079 dimensionless\n", "Flow rate = 544.3909434755569 liter / minute, Reynolds number = 1663.1585431899127 dimensionless\n", "Flow rate = 544.3913083992766 liter / minute, Reynolds number = 1663.1608997398391 dimensionless\n", "Flow rate = 544.3914810429436 liter / minute, Reynolds number = 1663.1620146130185 dimensionless\n", "Flow rate = 544.3915627198137 liter / minute, Reynolds number = 1663.162542054189 dimensionless\n" ] } ], "source": [ "from fluids.units import *\n", "from math import pi\n", "rho = 875.*u.kg/u.m**3\n", "mu = 78*u.cP\n", "\n", "H = 7*u.m\n", "L = 60*u.m\n", "NPS, D_pipe, Do_pipe, t = nearest_pipe(Do=80*u.mm)\n", "\n", "fd = 0.017\n", "Re = 1E5\n", "for i in range(20):\n", " K = K_from_f(fd=fd, L=L, D=D_pipe)\n", " K += entrance_sharp()\n", " K += exit_normal()\n", " K += 6*bend_rounded(D_pipe, angle=90*u.degrees, fd=fd, bend_diameters=0.65)\n", " ball_valve_angle = 0.5*(15+30)*u.degrees # use the average angle\n", " K += K_ball_valve_Crane(D1=D_pipe, D2=60*u.mm, angle=ball_valve_angle, fd=fd)\n", "\n", " v = (2*u.gravity*H/K)**0.5\n", " Q = v*pi/4*D_pipe**2\n", " print('Flow rate = %s, Reynolds number = %s' %(Q.to(u.L/u.min), Re))\n", " Re = Reynolds(D=D_pipe, rho=rho, mu=mu, V=v)\n", " fd = friction_factor(Re=Re, eD=0.0018*u.inch/D_pipe)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "No solution is actually presented in the example; but the result of their initial guess of a velocity of 1.5 m/s gives 511.2 L/min." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.5" } }, "nbformat": 4, "nbformat_minor": 1 } fluids-1.0.22/docs/Examples/Crane TP 410 Solved Problems/7.1 Smooth Pipe (Plastic).ipynb0000644000175000017500000000427514302004506027103 0ustar nileshnilesh{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 7.1 Smooth Pipe (Plastic)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "Water at 30 degrees Celsius flows through a 20 m length of 50 mm plastic (smooth wall) pipe, at a flow rate of 200 L/min.\n", "\n", "Calculate the Reynolds number and friction factor." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:18:45.684628Z", "iopub.status.busy": "2022-08-22T01:18:45.684104Z", "iopub.status.idle": "2022-08-22T01:18:47.261260Z", "shell.execute_reply": "2022-08-22T01:18:47.260580Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Reynolds number = 101004.75134699857 dimensionless\n", "Darcy friction factor = 0.01810866701300492 dimensionless\n" ] } ], "source": [ "from fluids.units import *\n", "from thermo.units import Stream\n", "from math import *\n", "\n", "Q = 0.2*u.m**3/u.min\n", "T = 30*u.degC\n", "P = 2*u.bar # assumed\n", "water = Stream('water', T=T, P=P, Q=Q)\n", "\n", "NPS, Di, Do, t = nearest_pipe(Di=0.05*u.m)\n", "v = Q/(pi/4*Di**2)\n", "Re = Reynolds(D=Di, rho=water.rho, mu=water.mu, V=v)\n", "print('Reynolds number = %s' %Re)\n", "fd = friction_factor(Re=Re, eD=_roughness['Glass']/Di)\n", "print('Darcy friction factor = %s' %fd)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The values presented in their solution are Re=100600; and fd=0.0179. The difference in values is due to the precision they used." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.5" } }, "nbformat": 4, "nbformat_minor": 0 } fluids-1.0.22/docs/Examples/Crane TP 410 Solved Problems/7.29 Orifice Flow Rate Calculation.ipynb0000644000175000017500000001034014302004506030676 0ustar nileshnilesh{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 7.29 Orifice Flow Rate Calculation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Given a differential pressure of 17 kPa is measured across taps located 1D upstream/0.5D downstream from the inlet face of a 50 mm ID orifice plate in an 80 mm schedule 80 steel pipe carrying water 15 deg C. \n", "Find the flow rate in gallons/minute." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:19:40.874481Z", "iopub.status.busy": "2022-08-22T01:19:40.873880Z", "iopub.status.idle": "2022-08-22T01:19:41.789499Z", "shell.execute_reply": "2022-08-22T01:19:41.788775Z" } }, "outputs": [ { "data": { "text/html": [ "0.07366 meter" ], "text/latex": [ "$0.07366\\ \\mathrm{meter}$" ], "text/plain": [ "0.07366 " ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from fluids.units import *\n", "from thermo.units import Chemical\n", "\n", "P1 = 2*u.bar # The full set of equations requires actual pressures not just the pressure difference, so an initial pressure of 2 bar is assumed.\n", "P2 = P1 - 17*u.kPa\n", "taps = 'D'\n", "meter_type = 'ISO 5167 orifice'\n", "Do = 50*u.mm\n", "\n", "NPS, D, _, t_pipe = nearest_pipe(Do=80*u.mm, schedule=80)\n", "\n", "D" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:19:41.819925Z", "iopub.status.busy": "2022-08-22T01:19:41.819370Z", "iopub.status.idle": "2022-08-22T01:19:42.288054Z", "shell.execute_reply": "2022-08-22T01:19:42.287393Z" } }, "outputs": [ { "data": { "text/plain": [ "(999.149354395164 ,\n", " 0.0011375132802133906 ,\n", " 1.3295293955513776 )" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "water = Chemical('water', T=15*u.degC, P=P1)\n", "rho = water.rho\n", "mu = water.mu\n", "k = water.isentropic_exponent\n", "rho, mu, k" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:19:42.291260Z", "iopub.status.busy": "2022-08-22T01:19:42.291074Z", "iopub.status.idle": "2022-08-22T01:19:42.299197Z", "shell.execute_reply": "2022-08-22T01:19:42.298177Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "7.704277411670789 kilogram / second\n", "462.65019605609893 liter / minute\n" ] } ], "source": [ "m = differential_pressure_meter_solver(D=D, D2=Do, P1=P1, P2=P2, rho=rho, mu=mu, k=k, meter_type=meter_type, taps=taps)\n", "print(m)\n", "Q = m/rho\n", "print(Q.to('L/min'))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The answer given in TP410M is 478 gallons/minute; however the errata\n", "specifies this value is in units of liters/minute instead.\n", "\n", "This calculation matches their result well, given they did not include expansivity in their calculations and read a value of C from a graph.\n", "\n", "A calculator at flow of fluids, which also does not include expansivity, gives an answer of 476.777 L/min, along with 7.93916 kg/s (http://www.flowoffluids.com/calculators/flow-through-orifices.aspx)." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.5" } }, "nbformat": 4, "nbformat_minor": 1 } fluids-1.0.22/docs/Examples/Crane TP 410 Solved Problems/7.14 Bernoulli's Theorem-Water.ipynb0000644000175000017500000001133714302004506030165 0ustar nileshnilesh{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 7.14 Bernoulli's Theorem-Water" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Water at 15 degrees Celsius is flowing through the piping system shown in Crane TP 410M's example at 1500 L/min.\n", "\n", "Calculate the velocity in both 4 and 5 inch sizes; and the pressure drop.\n", "\n", "Note: This problem suggests to handle the changing size elbow by adding on the result of a smooth expansion, which is also used here." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:18:13.662735Z", "iopub.status.busy": "2022-08-22T01:18:13.662142Z", "iopub.status.idle": "2022-08-22T01:18:15.282005Z", "shell.execute_reply": "2022-08-22T01:18:15.281133Z" } }, "outputs": [ { "data": { "text/html": [ "262809.7611610049 pascal" ], "text/latex": [ "$262809.7611610049\\ \\mathrm{pascal}$" ], "text/plain": [ "262809.7611610049 " ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from math import *\n", "from fluids.units import *\n", "from thermo.units import Chemical\n", "\n", "water = Chemical('water', P=2*u.bar, T=15*u.degC)\n", "rho = water.rho\n", "mu = water.mu\n", "\n", "Q = 1500*u.L/u.min\n", "r_d = 1.5\n", "_, D1, _, _ = nearest_pipe(Di=100*u.mm)\n", "_, D2, _, _ = nearest_pipe(Di=125*u.mm)\n", "L1 = 34*u.m\n", "L2 = (22+45)*u.m\n", "dH = 22*u.m\n", "beta = D1/D2\n", "\n", "V1 = Q/(pi/4*D1**2)\n", "V2 = Q/(pi/4*D2**2)\n", "Re1 = Reynolds(rho=rho, mu=mu, V=V1, D=D1)\n", "Re2 = Reynolds(rho=rho, mu=mu, V=V2, D=D2)\n", "fd1 = friction_factor(Re=Re1, eD=0.0018*u.inch/D1)\n", "fd2 = friction_factor(Re=Re2, eD=0.0018*u.inch/D2)\n", "fd = (fd1+fd2)/2\n", "\n", "dP = rho*u.gravity*dH\n", "\n", "K_D1 = bend_rounded(Di=D1, angle=90*u.degrees, fd=fd, bend_diameters=r_d)\n", "K_D1 += diffuser_conical(D1, D2, angle=30*u.degrees, fd=fd)\n", "K_D1 += K_from_f(fd=fd1, L=L1, D=D1)\n", "\n", "K_D2 = bend_rounded(Di=D2, angle=90*u.degrees, fd=fd, bend_diameters=r_d)\n", "K_D2 += K_from_f(fd=fd2, L=L2, D=D2)\n", "\n", "dP += dP_from_K(K=K_D1, rho=rho, V=V1)\n", "dP += dP_from_K(K=K_D2, rho=rho, V=V2)\n", "dP.to(u.Pa)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The result calculated in Crane's TP 410m is 26450 Pa. Their friction factor is 0.018. Again, it that value is used, the result calculated matches theirs - except this is off by an order of magnitude.\n", "\n", "In this edition, the gravitational term was forgotten. The prior 8th edition lists a value of 2.6 bar as the result for this problem. If their friction factor is used with this model, the following calculates a pressure drop of 2.62 bar." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:18:15.310921Z", "iopub.status.busy": "2022-08-22T01:18:15.310317Z", "iopub.status.idle": "2022-08-22T01:18:15.325744Z", "shell.execute_reply": "2022-08-22T01:18:15.324573Z" } }, "outputs": [ { "data": { "text/html": [ "262439.4308380222 pascal" ], "text/latex": [ "$262439.4308380222\\ \\mathrm{pascal}$" ], "text/plain": [ "262439.4308380222 " ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fd = fd1 = fd2 = .018\n", "dP = rho*u.gravity*dH\n", "\n", "K_D1 = bend_rounded(Di=D1, angle=90*u.degrees, fd=fd, bend_diameters=r_d)\n", "K_D1 += contraction_round(D1, D2, r_d*D1)\n", "K_D1 += K_from_f(fd=fd1, L=L1, D=D1)\n", "\n", "K_D2 = bend_rounded(Di=D2, angle=90*u.degrees, fd=fd, bend_diameters=r_d)\n", "K_D2 += K_from_f(fd=fd2, L=L2, D=D2)\n", "\n", "dP += dP_from_K(K=K_D1, rho=rho, V=V1)\n", "dP += dP_from_K(K=K_D2, rho=rho, V=V2)\n", "dP.to(u.Pa)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.5" } }, "nbformat": 4, "nbformat_minor": 1 } ././@LongLink0000644000000000000000000000015600000000000011605 Lustar rootrootfluids-1.0.22/docs/Examples/Crane TP 410 Solved Problems/7.9 Laminar Flow in Valves, Fittings, and Pipe.ipynbfluids-1.0.22/docs/Examples/Crane TP 410 Solved Problems/7.9 Laminar Flow in Valves, Fittings, and P0000644000175000017500000001463414302004506031031 0ustar nileshnilesh{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 7.9 Laminar Flow in Valves, Fittings, and Pipe" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "SAE 30 oil at 100 deg F flows through a 5\" schedule 40 pipe at 400 gal/min.\n", "\n", "There is a sketch in the Crane document of the system.\n", "\n", "Find the velocity in feet/second and the pressure drop." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:20:48.306868Z", "iopub.status.busy": "2022-08-22T01:20:48.306396Z", "iopub.status.idle": "2022-08-22T01:20:48.975802Z", "shell.execute_reply": "2022-08-22T01:20:48.975070Z" } }, "outputs": [ { "data": { "text/plain": [ "(26.063989664869815 ,\n", " 6.414177533606955 )" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from fluids.units import *\n", "from math import pi\n", "from fluids.constants import g\n", "g = g*u.m/u.s**2\n", "\n", "dH = 50*u.foot\n", "L = (175+50+75)*u.foot\n", "mu = 130*u.cP\n", "rho = (62.364*0.87)*u.lb/u.ft**3\n", "NPS, Di, Do, t = nearest_pipe(Do=5*u.inch, schedule='40')\n", "\n", "Q = 400*u.gallon/u.min\n", "A = 0.25*pi*Di**2\n", "\n", "v = Q/A\n", "Re = rho*v*Di/mu\n", "fd = friction_factor(Re=Re, eD=0.0018*u.inch/Di)\n", "ft = ft_Crane(Di)\n", "\n", "K_gate = K_gate_valve_Crane(D1=Di, D2=Di, fd=ft, angle=0.0*u.degrees)\n", "K_angle = K_angle_valve_Crane(D1=Di, D2=Di, fd=ft, style=1)\n", "K_elbow = bend_rounded(Di=Di, bend_diameters=1, angle=90*u.degrees, Re=Re, method='Crane')\n", "\n", "K_tot = K_elbow + K_gate + K_angle\n", "K_tot += K_from_f(fd=fd, L=L, D=Di)\n", "\n", "dP = dP_from_K(K=K_tot, rho=rho, V=v) + rho*g*dH\n", "dP.to(u.psi), v.to(u.foot/u.s)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "## Intermediate calculations" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:20:49.006598Z", "iopub.status.busy": "2022-08-22T01:20:49.006170Z", "iopub.status.idle": "2022-08-22T01:20:49.013479Z", "shell.execute_reply": "2022-08-22T01:20:49.012478Z" } }, "outputs": [ { "data": { "text/plain": [ "(8.0 ,\n", " 150.0 ,\n", " 20.00000000000006 )" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "K_gate/ft, K_angle/ft, K_elbow/ft" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:20:49.018125Z", "iopub.status.busy": "2022-08-22T01:20:49.017841Z", "iopub.status.idle": "2022-08-22T01:20:49.023493Z", "shell.execute_reply": "2022-08-22T01:20:49.022652Z" } }, "outputs": [ { "data": { "text/html": [ "29.991124449003742 dimensionless" ], "text/latex": [ "$29.991124449003742\\ dimensionless$" ], "text/plain": [ "29.991124449003742 " ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "K_tot" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:20:49.027410Z", "iopub.status.busy": "2022-08-22T01:20:49.027056Z", "iopub.status.idle": "2022-08-22T01:20:49.033174Z", "shell.execute_reply": "2022-08-22T01:20:49.032192Z" } }, "outputs": [ { "data": { "text/html": [ "6.414177533606955 foot/second" ], "text/latex": [ "$6.414177533606955\\ \\frac{\\mathrm{foot}}{\\mathrm{second}}$" ], "text/plain": [ "6.414177533606955 " ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "v.to(u.ft/u.s)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:20:49.037646Z", "iopub.status.busy": "2022-08-22T01:20:49.037220Z", "iopub.status.idle": "2022-08-22T01:20:49.042976Z", "shell.execute_reply": "2022-08-22T01:20:49.042234Z" } }, "outputs": [ { "data": { "text/plain": [ "(0.0381948926809522 ,\n", " 0.01543941031464228 )" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fd, ft" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Proof system is laminar" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:20:49.047286Z", "iopub.status.busy": "2022-08-22T01:20:49.046947Z", "iopub.status.idle": "2022-08-22T01:20:49.053514Z", "shell.execute_reply": "2022-08-22T01:20:49.052570Z" } }, "outputs": [ { "data": { "text/html": [ "1675.616699190696 dimensionless" ], "text/latex": [ "$1675.616699190696\\ dimensionless$" ], "text/plain": [ "1675.616699190696 " ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Re.to(u.dimensionless)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.5" } }, "nbformat": 4, "nbformat_minor": 1 } fluids-1.0.22/docs/Examples/Crane TP 410 Solved Problems/7.17 Sizing of Pump for Oil Pipelines.ipynb0000644000175000017500000000534214302004506031254 0ustar nileshnilesh{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 7.17 Sizing of Pump for Oil Pipelines" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Crude oil (30 degree API) at 15.6 C with a viscosity of 75 Universal Saybolt seconds flows down a 12\" Schedule 30 steel pipe with a flow rate of 1900 barrels/hour.\n", "\n", "The pipeline is 50 miles long, and the net elevation change is an increase of 2000 feet above the initial pump. The pump has an efficiency of 67%.\n", "\n", "Calculate the brake horsepower of the pump." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:18:30.224055Z", "iopub.status.busy": "2022-08-22T01:18:30.223436Z", "iopub.status.idle": "2022-08-22T01:18:30.946039Z", "shell.execute_reply": "2022-08-22T01:18:30.945138Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "24364.090937022276 dimensionless\n", "0.02511025708497868 dimensionless\n", "head = 3413.763958141052 foot\n", "power = 1499.9449484211073 horsepower\n" ] } ], "source": [ "from fluids.units import *\n", "from math import pi\n", "L = 50*u.miles\n", "dH = 2000*u.foot\n", "efficiency = 0.67\n", "\n", "# Note in pint the default barrel is for US dry barrel\n", "Q = 1900*u.oil_barrel/u.hour\n", "mu = 12.5*u.cP\n", "rho = 54.64*u.lb/u.ft**3\n", "\n", "NPS, Di, Do, t = nearest_pipe(NPS=12, schedule='30')\n", "\n", "A = 0.25*pi*Di**2\n", "v = Q/A\n", "Re = rho*v*Di/mu\n", "print(Re.to_base_units())\n", "fd = friction_factor(Re=Re, eD=0.0022*u.inch/Di)\n", "print(fd)\n", "\n", "K_tot = K_from_f(fd=fd, L=L, D=Di)\n", "dP = dP_from_K(K=K_tot, rho=rho, V=v) + rho*dH*1*u.gravity\n", "dP.to(u.psi), v.to(u.foot/u.s)\n", "\n", "head = head_from_P(dP, rho).to(u.foot)\n", "print('head = %s' %head)\n", "power = Q*dP/efficiency\n", "print('power = %s' %(power.to(u.hp)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The listed values are 3406.5 feet and 1496 hp, however a shortcut formula is used there." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.5" } }, "nbformat": 4, "nbformat_minor": 1 } ././@LongLink0000644000000000000000000000015500000000000011604 Lustar rootrootfluids-1.0.22/docs/Examples/Crane TP 410 Solved Problems/7.27 Sizing Control Valves for Liquid Service.ipynbfluids-1.0.22/docs/Examples/Crane TP 410 Solved Problems/7.27 Sizing Control Valves for Liquid Servi0000644000175000017500000000574314302004506031341 0ustar nileshnilesh{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 7.27 Sizing Control Valves for Liquid Service" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Given 250 gpm of condensate from a pressurized condensate tank, is cooled from 225 deg F to 160 deg F in a heat exchanger, then pumped to a 50 psig heater.\n", "\n", "The inlet and outlet pipe of the control valve is schedule 40, with no valves or fittings near the control valve. \n", "The system is located in a facility near sea level.\n", "\n", "A single port globe style valve is to be added.\n", "\n", "Find an appropriate size valve for the level control.\n", "\n", "The valve options are 2\", 2.5\", 3\", or 4\"; with Cvs of 41, 73, 114, and 175 respectively." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:19:30.737504Z", "iopub.status.busy": "2022-08-22T01:19:30.736215Z", "iopub.status.idle": "2022-08-22T01:19:31.417719Z", "shell.execute_reply": "2022-08-22T01:19:31.417117Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Minimum size is 3.0 inch\n", "Calculated Cv is 80.00778994084568 gallon / minute\n" ] } ], "source": [ "from fluids.units import *\n", "\n", "rho = 60.998*u.lb/u.ft**3\n", "mu = 0.39*u.cP\n", "Psat = 4.75*u.psi\n", "Pc = 3198*u.psi\n", "\n", "Q = 250*u.gal/u.min\n", "P1 = 80.6*u.psi\n", "P2 = 70.8*u.psi\n", "\n", "NPS, D_pipe, Do_pipe, t = nearest_pipe(NPS=4, schedule=40)\n", "\n", "Cvs = [41*u.gal/u.min, 73*u.gal/u.min, 114*u.gal/u.min, 175*u.gal/u.min]\n", "D_valves = [2*u.inch, 2.5*u.inch, 3.0*u.inch, 4*u.inch]\n", "\n", "for d, Cv in zip(D_valves, Cvs):\n", " Kv = size_control_valve_l(rho=rho, Psat=Psat, Pc=Pc, mu=mu, P1=P1, P2=P2, Q=Q, D1=D_pipe, D2=D_pipe,\n", " d=d, FL=0.9, Fd=1, allow_choked=True, \n", " allow_laminar=True, full_output=False)\n", " Cv_calc = Kv_to_Cv(Kv)\n", " if Cv > Cv_calc:\n", " print('Minimum size is %s' %d)\n", " break\n", "print('Calculated Cv is %s' %(Cv_calc))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Crane reports a Cv of 79.94. No iteration is required in this problem,\n", "except in the control valve sizing function itself." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.5" } }, "nbformat": 4, "nbformat_minor": 1 } fluids-1.0.22/docs/Examples/Crane TP 410 Solved Problems/7.18 Gas.ipynb0000644000175000017500000001561514302004506024055 0ustar nileshnilesh{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 7.18 Gas" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A natural gas pipeline (schedule 20 14\"\") is 100 miles long. Inlet pressure is 1300 psia, and outlet pressure is 300 psia.\n", "\n", "The average temperature is 40 deg F. The gas composition is 75% methane, 21% ethane, and 4 % propane.\n", "\n", "Find the flow rate in MMscfd.\n" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:18:35.269577Z", "iopub.status.busy": "2022-08-22T01:18:35.268489Z", "iopub.status.idle": "2022-08-22T01:18:35.982986Z", "shell.execute_reply": "2022-08-22T01:18:35.982266Z" } }, "outputs": [], "source": [ "from fluids.units import *\n", "from math import pi\n", "P1 = 1300*u.psi\n", "P2 = 300*u.psi\n", "T = 40*u.degF\n", "L = 100*u.miles\n", "\n", "mu = 1.1e-5*u.Pa # \n", "# mu = 1.915E-5*u.Pa # A more correct value, but hinders matching the problem\n", "NPS, Di, Do, t = nearest_pipe(NPS=14, schedule='20')\n", "A = 0.25*pi*Di**2" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:18:35.987274Z", "iopub.status.busy": "2022-08-22T01:18:35.986908Z", "iopub.status.idle": "2022-08-22T01:18:36.052388Z", "shell.execute_reply": "2022-08-22T01:18:36.051744Z" } }, "outputs": [], "source": [ "from thermo import *\n", "from thermo import PRMIX\n", "Tcs = [190.564, 305.32, 369.83]\n", "Pcs = [4599000.0, 4872000.0, 4248000.0]\n", "omegas = [0.008, 0.098, 0.152]\n", "MWs = [16.04246, 30.06904, 44.09562]\n", "zs = [0.75, 0.21, .04]\n", "MW = sum(zs[i]*MWs[i] for i in range(3))*u.g/u.mol" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:18:36.058121Z", "iopub.status.busy": "2022-08-22T01:18:36.057128Z", "iopub.status.idle": "2022-08-22T01:18:36.144300Z", "shell.execute_reply": "2022-08-22T01:18:36.143288Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "According to the full isothermal equation, the flowrate is 103.434 MMscfd\n" ] } ], "source": [ "eos_1 = PRMIX(T=T.to(u.K).magnitude, P=P1.to(u.Pa).magnitude, zs=zs, Tcs=Tcs, Pcs=Pcs, omegas=omegas)\n", "eos_2 = PRMIX(T=T.to(u.K).magnitude, P=P2.to(u.Pa).magnitude, zs=zs, Tcs=Tcs, Pcs=Pcs, omegas=omegas)\n", "eos_std = PRMIX(T=288.15, P=101325.0, zs=zs, Tcs=Tcs, Pcs=Pcs, omegas=omegas)\n", "\n", "Vm1 = eos_1.V_g*u.m**3/u.mol\n", "rho1 = (Vm1)**-1*MW\n", "\n", "Vm2 = eos_2.V_g*u.m**3/u.mol\n", "rho2 = (Vm2)**-1*MW\n", "\n", "Vm_std = eos_std.V_g*u.m**3/u.mol\n", "rho_std = (Vm_std)**-1*MW\n", "\n", "roughness = 0.0018*u.inch\n", "\n", "rho = 0.5*(rho1 + rho2)\n", "\n", "v = 10.0 # Initial guess for velocity\n", "Re = rho*v*Di/mu\n", "fd = friction_factor(Re=Re, eD=roughness/Di)\n", "\n", "for i in range(8):\n", " # Solve for velocity with sequential substitution\n", " m = isothermal_gas(rho, fd, P1=P1, P2=P2, L=L, D=Di)\n", " v = m/(A*rho)\n", " Re = rho*v*Di/mu\n", " fd = friction_factor(Re=Re, eD=roughness/Di)\n", "Q = v*A\n", "correction = rho_std/rho\n", "\n", "# pint does not support mmscfd\n", "mmscfd = Q.to(u.ft**3/u.day).magnitude/1e6/correction\n", "print('According to the full isothermal equation, the flowrate is %g MMscfd' %(mmscfd))\n", "# Q.to(u.m**3/u.s)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:18:36.197024Z", "iopub.status.busy": "2022-08-22T01:18:36.196520Z", "iopub.status.idle": "2022-08-22T01:18:36.203338Z", "shell.execute_reply": "2022-08-22T01:18:36.201652Z" } }, "outputs": [], "source": [ "# Note Z_avg should be used in the Panhandle and Weymouth equations\n", "# However Crane omits them; they are not used here to match Crane.\n", "Z_avg = 0.5*(eos_1.Z_g + eos_2.Z_g)\n", "MW_air = 28.966*u.g/u.mol\n", "SG = MW/MW_air" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:18:36.208927Z", "iopub.status.busy": "2022-08-22T01:18:36.208117Z", "iopub.status.idle": "2022-08-22T01:18:36.217679Z", "shell.execute_reply": "2022-08-22T01:18:36.215540Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "According to the Weymouth equation, the flowrate is 105.047 MMscfd\n" ] } ], "source": [ "# Crane does not use the efficiency term on Weymouth\n", "Q_Weymouth = Weymouth(SG, Tavg=T, L=L, D=Di, P1=P1, P2=P2, Zavg=1, E=1)\n", "\n", "mmscfd = Q_Weymouth.to(u.ft**3/u.day).magnitude/1e6\n", "print('According to the Weymouth equation, the flowrate is %g MMscfd' %(mmscfd))" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:18:36.222990Z", "iopub.status.busy": "2022-08-22T01:18:36.222411Z", "iopub.status.idle": "2022-08-22T01:18:36.230643Z", "shell.execute_reply": "2022-08-22T01:18:36.229533Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "According to the Panhandle A equation, the flowrate is 128.143 MMscfd\n" ] } ], "source": [ "Q_panhandle = Panhandle_A(SG, Tavg=T, L=L, D=Di, P1=P1, P2=P2, Zavg=1, E=0.92)\n", "\n", "mmscfd = Q_panhandle.to(u.ft**3/u.day).magnitude/1e6\n", "print('According to the Panhandle A equation, the flowrate is %g MMscfd' %(mmscfd))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Besides the simplifications Crane makes, the methods are fair approximations. \n", "The values in Crane are 107.8, 105.1, and 128.2 mmscfd respectively. The isothermal calculation employed by Crane is a simplified one, explaining the difference - it does not account for expansion rigorously." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.5" } }, "nbformat": 4, "nbformat_minor": 1 } fluids-1.0.22/docs/Examples/Crane TP 410 Solved Problems/7.10 Piping Systems - Steam.ipynb0000644000175000017500000001570414302004506027357 0ustar nileshnilesh{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 7.10 Piping Systems - Steam" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "40 bar steam, 450 degrees Celsius flows though a 120 m long horizontal 150mm schedule 80 pipe at a rate of\n", "40000 kg/hr. \n", "\n", "There are three 90 degree weld elbows with rc=1.5, \n", "1 fully open class 600 150mm x 100mm venturi class gate valve, one class 600 150 mm class y pattern globe valve with a seat diameter of 90% the inside pipe diameter (disc fully lifted).\n", "\n", "Calculate the pressure drop through the system." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:17:50.955800Z", "iopub.status.busy": "2022-08-22T01:17:50.955129Z", "iopub.status.idle": "2022-08-22T01:17:52.596604Z", "shell.execute_reply": "2022-08-22T01:17:52.595559Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Density = 11.98501086830739 kilogram / meter ** 3\n", "Viscosity = 2.6514891518131366e-05 pascal * second\n" ] } ], "source": [ "from math import *\n", "from fluids.units import *\n", "from thermo.units import Stream\n", "\n", "m = 40000*u.kg/u.hr\n", "T = 450*u.degC\n", "P = 40*u.bar\n", "\n", "steam = Stream('water', T=T, P=P, m=m)\n", "\n", "rho = steam.rho\n", "mu = steam.mu\n", "print('Density = %s' %rho)\n", "print('Viscosity = %s' %mu)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:17:52.634409Z", "iopub.status.busy": "2022-08-22T01:17:52.633772Z", "iopub.status.idle": "2022-08-22T01:17:52.651526Z", "shell.execute_reply": "2022-08-22T01:17:52.650482Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Crane elbow term = 0.63; calculated = 0.6059161978705982 dimensionless\n", "Crane globe valve term = 1.44; calculated = 7.97131596757772 dimensionless\n", "Crane gate valve term = 1.22; calculated = 1.1715216415679248 dimensionless\n", "Crane friction term = 12.3; calculated = 12.522684773228956 dimensionless\n", "Darcy friction factor = 0.015273501195081586 dimensionless\n", "Pressure drop = 405252.2713149266 pascal\n" ] } ], "source": [ "L = 120*u.m\n", "NPS, D_pipe, Do_pipe, t = nearest_pipe(Do=150*u.mm, schedule='80')\n", "Q = m/rho\n", "v = Q/(pi/4*D_pipe**2)\n", "Re = Reynolds(rho=rho, mu=mu, D=D_pipe, V=v)\n", "fd = friction_factor(Re=Re, eD=0.0018*u.inch/D_pipe)\n", "K_elbow = bend_rounded(Di=D_pipe, angle=90*u.degrees, fd=fd, bend_diameters=1.5)\n", "K_friction = K_from_f(fd=fd, L=L, D=D_pipe)\n", "K_globe_valve = K_globe_valve_Crane(D1=0.9*D_pipe, D2=D_pipe, fd=fd)\n", "# Angle and inside diameter are taken from example 7.4,\n", "K_gate_valve = K_gate_valve_Crane(D1=100*u.mm, D2=D_pipe, angle=13.115*u.degrees, fd=fd)\n", "\n", "K_tot = K_gate_valve + K_globe_valve + 3*K_elbow + K_friction\n", "dP = dP_from_K(K=K_tot, rho=rho, V=v)\n", "\n", "print('Crane elbow term = 0.63; calculated = %s' % (3*K_elbow))\n", "print('Crane globe valve term = 1.44; calculated = %s' % (K_globe_valve))\n", "print('Crane gate valve term = 1.22; calculated = %s' % (K_gate_valve))\n", "print('Crane friction term = 12.3; calculated = %s' % (K_friction))\n", "print('Darcy friction factor = %s' %fd)\n", "print('Pressure drop = %s' %dP.to(u.Pa))" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "This compares terribly to the example, which calculates a pressure drop of 274800 Pa!\n", "\n", "Two errors are apparent - their example uses a different coefficient (55) in the globe valve pressure drop equation than that shown in their appendix (340); and they re-use their prior calculated gate valve, despite the friction factor being different in this example.\n", "This, plus their use of a constant 0.015 friction factor, explains the difference. \n", "\n", "The example below uses their calculated globe valve pressure drop and their friction factor. The result (268500 Pa) compares well with their calculation; the additional decimals and better physical properties explain the rest. " ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:17:52.657521Z", "iopub.status.busy": "2022-08-22T01:17:52.656769Z", "iopub.status.idle": "2022-08-22T01:17:52.674097Z", "shell.execute_reply": "2022-08-22T01:17:52.672923Z" }, "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Crane elbow term = 0.63; calculated = 0.5988647407128814 dimensionless\n", "Crane globe valve term = 1.44; calculated = 1.44\n", "Crane gate valve term = 1.22; calculated = 1.1614815235317342 dimensionless\n", "Crane friction term = 12.3; calculated = 12.29844219732167 dimensionless\n", "Darcy friction factor = 0.015\n", "Pressure drop = 282016.77247066115 pascal\n" ] } ], "source": [ "L = 120*u.m\n", "NPS, D_pipe, Do_pipe, t = nearest_pipe(Do=150*u.mm, schedule='80')\n", "Q = m/rho\n", "v = Q/(pi/4*D_pipe**2)\n", "Re = Reynolds(rho=rho, mu=mu, D=D_pipe, V=v)\n", "fd = 0.015\n", "K_elbow = bend_rounded(Di=D_pipe, angle=90*u.degrees, fd=fd, bend_diameters=1.5)\n", "K_friction = K_from_f(fd=fd, L=L, D=D_pipe)\n", "K_globe_valve = 1.44\n", "# Angle and inside diameter are taken from example 7.4,\n", "K_gate_valve = K_gate_valve_Crane(D1=100*u.mm, D2=D_pipe, angle=13.115*u.degrees, fd=fd)\n", "\n", "K_tot = K_gate_valve + K_globe_valve + 3*K_elbow + K_friction\n", "dP = dP_from_K(K=K_tot, rho=rho, V=v)\n", "\n", "print('Crane elbow term = 0.63; calculated = %s' % (3*K_elbow))\n", "print('Crane globe valve term = 1.44; calculated = %s' % (K_globe_valve))\n", "print('Crane gate valve term = 1.22; calculated = %s' % (K_gate_valve))\n", "print('Crane friction term = 12.3; calculated = %s' % (K_friction))\n", "print('Darcy friction factor = %s' %fd)\n", "print('Pressure drop = %s' %dP.to(u.Pa))" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.5" } }, "nbformat": 4, "nbformat_minor": 0 } fluids-1.0.22/docs/Examples/Crane TP 410 Solved Problems/7.19 Water.ipynb0000644000175000017500000000760514302004506024426 0ustar nileshnilesh{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 7.19 Water" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Water at 60 deg F flows from a reservoir through a piping system according to a diagram in the book. The reservoir has a head of 11.5 feet.\n", "\n", "The system is:\n", "\n", " entrance\n", " \n", " 3\" miter bend\n", " \n", " standard gate valve open\n", " \n", " 10 feet of 3 inch pipe (sched 40)\n", " \n", " sudden contraction\n", " \n", " 20 feet of 2 inch pipe (sched 40)\n", " \n", " exit\n", "\n", "Find the flow rate in gallons/minute." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:18:40.649610Z", "iopub.status.busy": "2022-08-22T01:18:40.648892Z", "iopub.status.idle": "2022-08-22T01:18:41.359102Z", "shell.execute_reply": "2022-08-22T01:18:41.358117Z" } }, "outputs": [ { "data": { "text/html": [ "136.70828839615876 gallon/minute" ], "text/latex": [ "$136.70828839615876\\ \\frac{\\mathrm{gallon}}{\\mathrm{minute}}$" ], "text/plain": [ "136.70828839615876 " ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from fluids.units import *\n", "from math import pi\n", "L1 = 10*u.foot\n", "L2 = 20*u.foot\n", "\n", "dH = 11.5*u.foot\n", "\n", "mu = 1.1*u.cP\n", "rho = 62.364*u.lb/u.ft**3\n", "\n", "NPS1, Di1, Do1, t1 = nearest_pipe(NPS=3, schedule='40')\n", "NPS2, Di2, Do2, t2 = nearest_pipe(NPS=2, schedule='40')\n", "\n", "A1 = 0.25*pi*Di1**2\n", "A2 = 0.25*pi*Di2**2\n", "\n", "ft1 = ft_Crane(Di1)\n", "ft2 = ft_Crane(Di2)\n", "\n", "roughness = 0.0018*u.inch\n", "\n", "dP = rho*dH*1*u.gravity\n", "\n", "fd1 = fd2 = 0.018 # assumed; solve with sequential substitution\n", "# Take the 3\" diameter as the reference for K\n", "for i in range(10):\n", " K_entrance = entrance_sharp(method='Crane')\n", " K_exit = change_K_basis(exit_normal(), 2*u.inch, 3*u.inch)\n", " K_gate = K_gate_valve_Crane(D1=Di1, D2=Di1, angle=0.0*u.degrees)\n", " K_elbow = bend_miter(Di=Di1, angle=90*u.degrees, method='Crane')\n", " K_contraction = change_K_basis(contraction_conical_Crane(3*u.inch, 2*u.inch, l=0*u.m), 2*u.inch, 3*u.inch)\n", "\n", " K_tot = K_entrance + K_elbow + K_gate + K_exit + K_contraction\n", " K_f1 = K_from_f(fd=fd1, L=L1, D=Di1)\n", " K_f2 = change_K_basis(K_from_f(fd=fd2, L=L2, D=Di2), 2*u.inch, 3*u.inch) \n", " K_tot += K_f1 + K_f2\n", " \n", " K_tot_basis2 = change_K_basis(K_tot, 3*u.inch, 2*u.inch)\n", " \n", " v1 = (2*dP/(K_tot*rho))**0.5\n", " v2 = (2*dP/(K_tot_basis2*rho))**0.5\n", "\n", " Re1 = rho*v1*Di1/mu\n", " Re2 = rho*v2*Di2/mu\n", " fd1 = friction_factor(Re=Re1, eD=roughness/Di1)\n", " fd2 = friction_factor(Re=Re2, eD=roughness/Di2)\n", "\n", "Q = A1*v1\n", "Q.to(u.gal/u.min)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The solution given in Crane where they also perform iterations is 137 gal/min." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.5" } }, "nbformat": 4, "nbformat_minor": 1 } fluids-1.0.22/docs/Examples/Crane TP 410 Solved Problems/7.34 Pump Power and Operating Cost.ipynb0000644000175000017500000000460514302004506030661 0ustar nileshnilesh{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 7.34 Pump Power and Operating Cost" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Given a pump provides 428 feet of head, pumps 700 gpm of 60 deg F water.\n", "The efficiencies of the pump, motor, and VSD are as follows: 70.7%, 95%, 96%.\n", "\n", "Find the brake horsepower, electrical horsepower, and the operating cost (on an 8000 hour/year basis) given a power cost of $0.12/kWhr." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:20:05.047233Z", "iopub.status.busy": "2022-08-22T01:20:05.046764Z", "iopub.status.idle": "2022-08-22T01:20:05.709670Z", "shell.execute_reply": "2022-08-22T01:20:05.709030Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The brake power is 107.05591309130916 horsepower\n", "The power is 117.38586961766357 horsepower\n", "The cost is $84033.24278348622 dimensionless dollars/year\n" ] } ], "source": [ "from fluids.units import *\n", "rho = 62.364*u.lb/u.ft**3\n", "head = 428*u.foot\n", "Q = 700*u.gal/u.min\n", "pump_efficiency = 0.707\n", "total_efficiency = .707*.95*.96\n", "dP = head*rho*u.gravity\n", "\n", "# unfortunately pint does not support currency, so we keep it dimensionless\n", "rate = 0.12/(u.kW*u.hour)\n", "\n", "bhp = Q*dP/pump_efficiency\n", "print('The brake power is %s' %(bhp.to(u.hp)))\n", "power = Q*dP/total_efficiency\n", "print('The power is %s' %(power.to(u.hp)))\n", "cost = power*rate\n", "cost = (cost*8000*u.hour).to_base_units()\n", "print('The cost is $%s dollars/year' %(cost))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The value given in Crane is $83970." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.5" } }, "nbformat": 4, "nbformat_minor": 1 } fluids-1.0.22/docs/Examples/Crane TP 410 Solved Problems/7.23 Flow Through Orifice Meters.ipynb0000644000175000017500000000765414302004506030434 0ustar nileshnilesh{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 7.23 Flow Through Orifice Meters" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A square edged orifice of 2\" diameter is installed in a 4\" schedule 40 pipe. A mercury manometer is connected between standard taps 1D upstream and 0.5D downstream.\n", "\n", "a) Find the theoretical calibration constant for the meter when 60 deg F water flows through the pipe in the fully turbulent region. \n", "\n", "b) Find the flow rate of 60 deg F water when the mercury deflection is 4.4\"" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:19:10.017200Z", "iopub.status.busy": "2022-08-22T01:19:10.016665Z", "iopub.status.idle": "2022-08-22T01:19:10.767440Z", "shell.execute_reply": "2022-08-22T01:19:10.766514Z" } }, "outputs": [], "source": [ "from fluids.units import *\n", "P1 = 2*u.bar # assumed\n", "T = 60*u.degF\n", "NPS, D_pipe, Do_pipe, t = nearest_pipe(NPS=4, schedule=40)\n", "mu = 1.1e-3*u.Pa*u.s # viscosity of water\n", "rho = 62.364*u.lb/u.ft**3 # density of water\n", "Do = 2*u.inch" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:19:10.773014Z", "iopub.status.busy": "2022-08-22T01:19:10.772327Z", "iopub.status.idle": "2022-08-22T01:19:10.794033Z", "shell.execute_reply": "2022-08-22T01:19:10.792966Z" } }, "outputs": [ { "data": { "text/html": [ "105.73900650508152 gallon/minute" ], "text/latex": [ "$105.73900650508152\\ \\frac{\\mathrm{gallon}}{\\mathrm{minute}}$" ], "text/plain": [ "105.73900650508152 " ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# b)\n", "dP = (4.4*u.inch_Hg - 4.4*u.inch_H2O_60F)\n", "P2 = P1 - dP\n", "m = differential_pressure_meter_solver(D=D_pipe, rho=rho, mu=mu, k=1e20, D2=Do, P1=P1, P2=P2, \n", " meter_type='ISO 5167 orifice', taps='D and D/2')\n", "Q = (m/rho).to(u.gal/u.min)\n", "Q" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:19:10.816112Z", "iopub.status.busy": "2022-08-22T01:19:10.815722Z", "iopub.status.idle": "2022-08-22T01:19:10.823909Z", "shell.execute_reply": "2022-08-22T01:19:10.822460Z" } }, "outputs": [ { "data": { "text/plain": [ "(0.6067029339232126 ,\n", " 0.6260667537160854 )" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# a)\n", "C, _ = differential_pressure_meter_C_epsilon(D=D_pipe, rho=rho, m=m, mu=mu, k=1e20, D2=Do, P1=P1, P2=P2,\n", " meter_type='ISO 5167 orifice', taps='D and D/2')\n", "C, flow_coefficient(D_pipe, Do, C)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Crane TP 410 reports a flow coefficient of 0.625 and a flow rate of 106 gal/min, indicating the problem benefited from the iteration little." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.5" } }, "nbformat": 4, "nbformat_minor": 1 } ././@LongLink0000644000000000000000000000015500000000000011604 Lustar rootrootfluids-1.0.22/docs/Examples/Crane TP 410 Solved Problems/7.35 Hydraulic Resistance of a Converging Tee.ipynbfluids-1.0.22/docs/Examples/Crane TP 410 Solved Problems/7.35 Hydraulic Resistance of a Converging T0000644000175000017500000000623414302004506031260 0ustar nileshnilesh{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 7.35 Hydraulic Resistance of a Converging Tee" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A 4\" schedule 40 tee with equal leg diameters has 300 gpm of water at 60 deg F flowing into a straight leg, and 100 gpm converging in from the 90 degree branch leg.\n", "\n", "Find the loss coefficients for the straight leg and the branch leg, and the head loss across each flow path." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:20:09.501010Z", "iopub.status.busy": "2022-08-22T01:20:09.500454Z", "iopub.status.idle": "2022-08-22T01:20:10.222183Z", "shell.execute_reply": "2022-08-22T01:20:10.221288Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The combined velocity is 10.081042597997012 foot / second\n", "The branch loss coefficient is -0.0421875 dimensionless\n", "The run loss coefficient is 0.325 dimensionless\n", "The branch head loss is -0.06662833817657396 foot\n", "The run head loss is 0.5132849755824956 foot\n" ] } ], "source": [ "from fluids.units import *\n", "from math import pi\n", "NPS, Di, Do, t = nearest_pipe(NPS=4, schedule='40')\n", "\n", "A = 0.25*pi*Di**2\n", "beta = 1 # same diameters\n", "\n", "rho = 998*u.kg/u.m**3\n", "\n", "Q_tot = 400*u.gal/u.min\n", "Q_main = 300*u.gal/u.min\n", "Q_leg = 100*u.gal/u.min\n", "\n", "v_combined = Q_tot/A\n", "print('The combined velocity is %s' %(v_combined.to(u.ft/u.s)))\n", "branch_flow_ratio = Q_leg/Q_tot\n", "\n", "v_main = Q_main/A\n", "v_leg = Q_leg/A\n", "\n", "K_branch = K_branch_converging_Crane(D_run=Di, D_branch=Di, Q_run=Q_main, Q_branch=Q_leg, angle=90.0*u.degrees)\n", "print('The branch loss coefficient is %s' %(K_branch))\n", "K_run = K_run_converging_Crane(D_run=Di, D_branch=Di, Q_run=Q_main, Q_branch=Q_leg, angle=90.0*u.degrees)\n", "print('The run loss coefficient is %s' %(K_run))\n", "\n", "head_loss_branch = 0.5*rho*v_combined**2*K_branch/(1*u.gravity*rho)\n", "print('The branch head loss is %s' %(head_loss_branch.to(u.ft)))\n", "\n", "head_loss_run = 0.5*rho*v_combined**2*K_run/(1*u.gravity*rho)\n", "print('The run head loss is %s' %(head_loss_run.to(u.ft)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The values presented in crane match very nearly exactly; this type of a problem does not require any iteration, unless the density of the fluid is variable." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.5" } }, "nbformat": 4, "nbformat_minor": 1 } fluids-1.0.22/docs/Examples/Crane TP 410 Solved Problems/7.32 NPSH Available Calculation.ipynb0000644000175000017500000000571214302004506030164 0ustar nileshnilesh{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 7.32 NPSH Available Calculation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Given that a pump is located 30 feet above sea level, has a NPSHr of 20' at a flow rate of 400 gpm, and is fed by a tank of 60 deg F water with a surface pressure of 5 psig and a liquid level 25' below the suction of the pump.\n", "\n", "The head losses in the suction pipeline are 6'.\n", "\n", "Find the NPSH available and compare it to the NPSHr. A NPSHr margin ratio is required." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:19:55.702016Z", "iopub.status.busy": "2022-08-22T01:19:55.701428Z", "iopub.status.idle": "2022-08-22T01:19:56.392261Z", "shell.execute_reply": "2022-08-22T01:19:56.391455Z" } }, "outputs": [ { "data": { "text/html": [ "13.887316780096477 foot" ], "text/latex": [ "$13.887316780096477\\ \\mathrm{foot}$" ], "text/plain": [ "13.887316780096477 " ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from fluids.units import *\n", "rho = 62.364*u.lb/u.ft**3\n", "P_tank = 5*u.psi + 1*u.atm\n", "Psat = 0.256*u.psi\n", "H_tank = 5*u.foot\n", "H_pipe = 30*u.foot\n", "dH = H_pipe - H_tank\n", "\n", "head_loss = 6*u.foot\n", "\n", "NPSHa = ((P_tank-Psat)/rho/u.gravity) - dH - head_loss\n", "(NPSHa).to(u.foot)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The NPSHa is beneath the NPSHr. The requested pressure can be calculated as follows:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:19:56.416147Z", "iopub.status.busy": "2022-08-22T01:19:56.415709Z", "iopub.status.idle": "2022-08-22T01:19:56.422712Z", "shell.execute_reply": "2022-08-22T01:19:56.421733Z" } }, "outputs": [ { "data": { "text/html": [ "26.0 foot" ], "text/latex": [ "$26.0\\ \\mathrm{foot}$" ], "text/plain": [ "26.0 " ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "20*u.foot*1.3" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.5" } }, "nbformat": 4, "nbformat_minor": 1 } fluids-1.0.22/docs/Examples/Crane TP 410 Solved Problems/7.11 Flat heating Coils - Water.ipynb0000644000175000017500000000656714302004506030042 0ustar nileshnilesh{ "cells": [ { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "# 7.11 Flat heating Coils - Water" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Water at 80 degrees Celsius flows through a flat heating coil at a rate of 60 L/min. There are 7 180 degree bends in it. The coil is 8 m long, with 0.5 m of straight length on the inlet and exit. The r/D of the bends is 4. The pipe is schedule 40, 25 mm pipe." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:17:57.180998Z", "iopub.status.busy": "2022-08-22T01:17:57.180407Z", "iopub.status.idle": "2022-08-22T01:17:58.787805Z", "shell.execute_reply": "2022-08-22T01:17:58.786908Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Pressure drop = 18501.7753353607 pascal\n" ] } ], "source": [ "from math import *\n", "from fluids.units import *\n", "from thermo.units import Chemical\n", "\n", "water = Chemical('water', P=2*u.bar, T=80*u.degC) # P assumed\n", "rho = water.rho\n", "mu = water.mu\n", "\n", "Q = 60*u.L/u.min\n", "L = (1*8 + 0.5*2)*u.m\n", "\n", "NPS, D_pipe, Do_pipe, t = nearest_pipe(Di=25*u.mm)\n", "v = Q/(pi/4*D_pipe**2)\n", "Re = Reynolds(rho=rho, mu=mu, D=D_pipe, V=v)\n", "fd = friction_factor(Re=Re, eD=0.0018*u.inch/D_pipe)\n", "\n", "K_elbow = bend_rounded(Di=D_pipe, angle=180*u.degrees, fd=fd, bend_diameters=5)\n", "K_friction = K_from_f(fd=fd, L=L, D=D_pipe)\n", "\n", "K_tot = 7*K_elbow + K_friction\n", "dP = dP_from_K(K=K_tot, rho=rho, V=v)\n", "print('Pressure drop = %s' %dP.to(u.Pa))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The value presented in the solution is 19609 Pa. They chose a constant friction factor of 0.024 in this calculation. If this were used, the result compares much better. Their friction factor can be obtained at a roughness of 0.05 mm." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:17:58.817942Z", "iopub.status.busy": "2022-08-22T01:17:58.817348Z", "iopub.status.idle": "2022-08-22T01:17:58.826574Z", "shell.execute_reply": "2022-08-22T01:17:58.825198Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Pressure drop = 18539.73002741304 pascal\n" ] } ], "source": [ "fd = 0.024\n", "K_elbow = bend_rounded(Di=D_pipe, angle=180*u.degrees, fd=fd, bend_diameters=5)\n", "K_friction = K_from_f(fd=fd, L=L, D=D_pipe)\n", "\n", "K_tot = 7*K_elbow + K_friction\n", "dP = dP_from_K(K=K_tot, rho=rho, V=v)\n", "print('Pressure drop = %s' %dP.to(u.Pa))" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.5" } }, "nbformat": 4, "nbformat_minor": 1 } fluids-1.0.22/docs/Examples/Crane TP 410 Solved Problems/7.30 Nozzle Sizing Calculations.ipynb0000644000175000017500000001251114302004506030434 0ustar nileshnilesh{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 7.30 Nozzle Sizing Calculations" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Objective: Size a long-radius venturi nozzle flow meter" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A system is designed with a flow rate of 225 gpm of water at 60 F flowing through 6\" schedule 40 pipe. A long-radius nozzle flow has been requested. A measured head loss of 4 feet is the design measurement, with 1D upstream and 1/2D downstream taps.\n", "\n", "Find the required diameter of the nozzle." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:19:50.932222Z", "iopub.status.busy": "2022-08-22T01:19:50.931516Z", "iopub.status.idle": "2022-08-22T01:19:51.573920Z", "shell.execute_reply": "2022-08-22T01:19:51.573184Z" } }, "outputs": [], "source": [ "from fluids.units import *\n", "from math import pi\n", "\n", "mu = 1.1*u.cP\n", "rho = 62.364*u.lb/u.ft**3\n", "\n", "NPS, Di, Do, t = nearest_pipe(NPS=6, schedule='40')\n", "A = 0.25*pi*Di*Di\n", "\n", "dP = 4*u.feet_H2O\n", "\n", "P1 = 10*u.bar # assumed, not very important\n", "P2 = P1 - dP\n", "k = 1.3 # not important\n", "\n", "Q = 225*u.gal/u.min\n", "m = Q*rho" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:19:51.577971Z", "iopub.status.busy": "2022-08-22T01:19:51.577467Z", "iopub.status.idle": "2022-08-22T01:19:51.587280Z", "shell.execute_reply": "2022-08-22T01:19:51.586326Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Nozzle diameter found to be 2.405956560384601 inch.\n" ] } ], "source": [ "Do = differential_pressure_meter_solver(D=Di, rho=rho, mu=mu, k=k, P1=P1, P2=P2, \n", " m=m, meter_type='long radius nozzle', \n", " taps='D')\n", "print('Nozzle diameter found to be %s.' %(Do.to(u.inch)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The solution given in Crane is 2.40 inches after two iterations and has an error of 0.4 gpm, whereas the answer above has almost zero theoretical error." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 7.31 NPRD Calculations" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The Non-recoverable pressure drop (NRPD) is the permanent pressure drop associated with the flow through the measurement device.\n", "Find the NPRD for example 7.30." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:19:51.609469Z", "iopub.status.busy": "2022-08-22T01:19:51.609123Z", "iopub.status.idle": "2022-08-22T01:19:51.622403Z", "shell.execute_reply": "2022-08-22T01:19:51.621798Z" } }, "outputs": [ { "data": { "text/html": [ "0.983900143257091 dimensionless" ], "text/latex": [ "$0.983900143257091\\ dimensionless$" ], "text/plain": [ "0.983900143257091 " ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "C, epsilon = differential_pressure_meter_C_epsilon(D=Di, D2=Do, m=m, P1=P1, P2=P2, rho=rho, mu=mu, k=k,\n", " meter_type='long radius nozzle')\n", "C" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:19:51.626068Z", "iopub.status.busy": "2022-08-22T01:19:51.625854Z", "iopub.status.idle": "2022-08-22T01:19:51.633655Z", "shell.execute_reply": "2022-08-22T01:19:51.632808Z" } }, "outputs": [ { "data": { "text/html": [ "1.2691031737597416 pound_force_per_square_inch" ], "text/latex": [ "$1.2691031737597416\\ \\mathrm{pound\\_force\\_per\\_square\\_inch}$" ], "text/plain": [ "1.2691031737597416 " ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dP = differential_pressure_meter_dP(D=Di, D2=Do, P1=P1, P2=P2, C=C, \n", " meter_type='long radius nozzle')\n", "\n", "dP.to(u.psi)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The solution given in Crane is 1.272 psi." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.5" } }, "nbformat": 4, "nbformat_minor": 1 } fluids-1.0.22/docs/Examples/Crane TP 410 Solved Problems/7.24 Laminar Flow.ipynb0000644000175000017500000001357514302004506025616 0ustar nileshnilesh{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 7.24 Laminar Flow" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Objective: Rate an orifice plate in laminar flow" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Problem statement: calculate the Reynolds number to determine the type of fluid\n", " \n", "Given: S.A.E. 10W oil flows through a 3\" schedule 40 pipe. It has a measured delta P of 0.4 psi. The orifice plate has a 2.15\" diameter bore, and is a standard sharp-edged orifice. Find the flow rate through the orifice in gallons/minute." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:19:15.194395Z", "iopub.status.busy": "2022-08-22T01:19:15.193815Z", "iopub.status.idle": "2022-08-22T01:19:15.874009Z", "shell.execute_reply": "2022-08-22T01:19:15.873122Z" } }, "outputs": [], "source": [ "from fluids.units import *\n", "from math import pi\n", "\n", "NPS, Di, Do, t = nearest_pipe(NPS=3, schedule='40')\n", "A = 0.25*pi*Di*Di\n", "D2 = 2.15*u.inch\n", "mu = 40*u.cP # given\n", "rho = 53.6*u.lb/u.ft**3\n", "\n", "# Assume an absolute pressure of 5 bar.\n", "dP = 0.4*u.psi\n", "P1 = 5*u.bar\n", "P2 = P1-dP\n", "k = 1.3 # assumed\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:19:15.878699Z", "iopub.status.busy": "2022-08-22T01:19:15.878258Z", "iopub.status.idle": "2022-08-22T01:19:15.896728Z", "shell.execute_reply": "2022-08-22T01:19:15.895727Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Flow rate is: 88.00974933637421 gallon / minute\n" ] }, { "data": { "text/html": [ "1947.5090707193106 dimensionless" ], "text/latex": [ "$1947.5090707193106\\ dimensionless$" ], "text/plain": [ "1947.5090707193106 " ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# First calculate the orifice with the standard formula\n", "m = differential_pressure_meter_solver(D=Di, rho=rho, mu=mu, k=k, D2=D2, P1=P1, P2=P2, \n", " m=None, meter_type='ISO 5167 orifice', \n", " taps='corner')\n", "Q = (m/rho).to_base_units()\n", "print('Flow rate is: %s'% Q.to(u.gal/u.min))\n", "v = Q/A\n", "Re = rho*v*Di/mu\n", "Re.to_base_units()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Because the flow rate is laminar, outside the range of the ISO formula, we turn to another set of data - a set of CFD results developed for laminar flow by Hollingshead." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:19:15.921986Z", "iopub.status.busy": "2022-08-22T01:19:15.921028Z", "iopub.status.idle": "2022-08-22T01:19:16.051818Z", "shell.execute_reply": "2022-08-22T01:19:16.050451Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Flow rate is: 77.16025233085325 gallon / minute\n" ] }, { "data": { "text/html": [ "1707.4277843809423 dimensionless" ], "text/latex": [ "$1707.4277843809423\\ dimensionless$" ], "text/plain": [ "1707.4277843809423 " ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# First calculate the orifice with the standard formula\n", "m = differential_pressure_meter_solver(D=Di, rho=rho, mu=mu, k=k, D2=D2, P1=P1, P2=P2, \n", " m=None, meter_type='Hollingshead orifice')\n", "Q = (m/rho).to_base_units()\n", "print('Flow rate is: %s'% Q.to(u.gal/u.min))\n", "v = Q/A\n", "Re = rho*v*Di/mu\n", "Re.to_base_units()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The answer given in Crane is that a calibration for the meter must be provided. They assume a `C` of 0.75. The value of `C` according to Hollingshead is below." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:19:16.058788Z", "iopub.status.busy": "2022-08-22T01:19:16.057308Z", "iopub.status.idle": "2022-08-22T01:19:16.070264Z", "shell.execute_reply": "2022-08-22T01:19:16.068973Z" } }, "outputs": [ { "data": { "text/html": [ "0.7156763185721802 dimensionless" ], "text/latex": [ "$0.7156763185721802\\ dimensionless$" ], "text/plain": [ "0.7156763185721802 " ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "differential_pressure_meter_C_epsilon(D=Di, D2=D2, m=m, P1=P1, P2=P2, rho=rho, mu=mu, k=k, \n", " meter_type='Hollingshead orifice')[0]" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.5" } }, "nbformat": 4, "nbformat_minor": 1 } fluids-1.0.22/docs/Examples/Crane TP 410 Solved Problems/7.6 Reduced Port Ball Valve.ipynb0000644000175000017500000001133414302004506027423 0ustar nileshnilesh{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 7.6 Reduced Port Ball Valve" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Water is discharged at 15 degrees Celsius from a tank with 7 m of head to atmosphere through:\n", "\n", "* 60 meters of 80 mm schedule 40 pipe\n", "* Six 80 mm standard 90 degree threaded elbows\n", "* One 80 mm flanged ball valve, with a 60 mm diameter seat, 16 degree conical inlet and 30 degree conical outlet.\n", "* The entrance is sharp-edged and flush with the tank" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:20:33.275308Z", "iopub.status.busy": "2022-08-22T01:20:33.274803Z", "iopub.status.idle": "2022-08-22T01:20:34.692212Z", "shell.execute_reply": "2022-08-22T01:20:34.691311Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Velocity = 2.770041323755228 meter / second\n", "Flow rate = 792.5474399133158 liter / minute\n" ] } ], "source": [ "from thermo.units import Chemical\n", "from fluids.units import *\n", "from math import pi\n", "water = Chemical('water', T=15*u.degC)\n", "rho = water.rho\n", "mu = water.mu\n", "\n", "H = 7*u.m\n", "L = 60*u.m\n", "fd = 0.017 # assumed in their example\n", "NPS, D_pipe, Do_pipe, t = nearest_pipe(Do=80*u.mm)\n", "\n", "K = K_from_f(fd=fd, L=L, D=D_pipe)\n", "K += entrance_sharp()\n", "K += exit_normal()\n", "K += 6*bend_rounded(D_pipe, angle=90*u.degrees, fd=fd, bend_diameters=0.65)\n", "ball_valve_angle = 0.5*(15+30)*u.degrees # use the average angle\n", "K += K_ball_valve_Crane(D1=D_pipe, D2=60*u.mm, angle=ball_valve_angle, fd=fd)\n", "\n", "v = (2*u.gravity*H/K)**0.5\n", "print('Velocity = %s' %v.to_base_units())\n", "Q = v*pi/4*D_pipe**2\n", "print('Flow rate = %s' %Q.to(u.L/u.min))\n", "Re = Reynolds(D=D_pipe, rho=rho, mu=mu, V=v)\n", "fd = friction_factor(Re=Re, eD=0.0018*u.inch/D_pipe)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The radius of curvature of the elbows was not specified; 0.65 bend diameters matches their results most closely. They modified the ball valve equation to support both an inlet and an outlet angle; the average value is used here.\n", "\n", "Their calculated values are 2.74 m/s and flow rate of 781 L/min.\n", "\n", "The calculation can be performed more accurately by iterating; a naive approach is shown below. A very different flow rate is obtained when the roughness of the pipe is considered in the friction factor calculation." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:20:34.719257Z", "iopub.status.busy": "2022-08-22T01:20:34.718466Z", "iopub.status.idle": "2022-08-22T01:20:34.737229Z", "shell.execute_reply": "2022-08-22T01:20:34.736310Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Flow rate = 792.5474399133158 liter / minute\n", "Flow rate = 748.2664116002655 liter / minute\n", "Flow rate = 746.5628913428789 liter / minute\n", "Flow rate = 746.4941928055326 liter / minute\n", "Flow rate = 746.4914172120895 liter / minute\n", "Flow rate = 746.491305062719 liter / minute\n", "Flow rate = 746.4913005312487 liter / minute\n" ] } ], "source": [ "fd = 0.017\n", "for i in range(7):\n", " K = K_from_f(fd=fd, L=L, D=D_pipe)\n", " K += entrance_sharp()\n", " K += exit_normal()\n", " K += 6*bend_rounded(D_pipe, angle=90*u.degrees, fd=fd, bend_diameters=0.65)\n", " ball_valve_angle = 0.5*(15+30)*u.degrees # use the average angle\n", " K += K_ball_valve_Crane(D1=D_pipe, D2=60*u.mm, angle=ball_valve_angle, fd=fd)\n", "\n", " v = (2*u.gravity*H/K)**0.5\n", " Q = v*pi/4*D_pipe**2\n", " print('Flow rate = %s' %Q.to(u.L/u.min))\n", " Re = Reynolds(D=D_pipe, rho=rho, mu=mu, V=v)\n", " fd = friction_factor(Re=Re, eD=0.0018*u.inch/D_pipe)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.5" } }, "nbformat": 4, "nbformat_minor": 1 } ././@LongLink0000644000000000000000000000015500000000000011604 Lustar rootrootfluids-1.0.22/docs/Examples/Crane TP 410 Solved Problems/7.22 Compressible Fluids at Subsonic Velocity.ipynbfluids-1.0.22/docs/Examples/Crane TP 410 Solved Problems/7.22 Compressible Fluids at Subsonic Veloci0000644000175000017500000001062314302004506031403 0ustar nileshnilesh{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 7.22 Compressible Fluids at Subsonic Velocity" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Given that air is at a pressure of 19.3 psig and a temperature of 100 deg F and is flowing out of a 1/2\" schedule 80 pipe into the atmosphere.\n", "Find the flow rate of air in standard cubic feet per hour." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:24:17.076730Z", "iopub.status.busy": "2022-08-22T01:24:17.076238Z", "iopub.status.idle": "2022-08-22T01:24:17.629300Z", "shell.execute_reply": "2022-08-22T01:24:17.628609Z" } }, "outputs": [], "source": [ "from fluids.units import *\n", "from math import pi\n", "dP = 19.3*u.psi\n", "P = dP + 1*u.atm\n", "P2 = 1*u.atm\n", "T = 100*u.degF\n", "L = 10*u.foot\n", "NPS, D_pipe, Do_pipe, t = nearest_pipe(NPS=0.5, schedule=80)\n", "A = 0.25*pi*D_pipe**2\n", "\n", "fd = 0.0275 # assumed, initial guess\n", "mu = 1.8e-8*u.Pa*u.s" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:24:17.634640Z", "iopub.status.busy": "2022-08-22T01:24:17.634109Z", "iopub.status.idle": "2022-08-22T01:24:17.691289Z", "shell.execute_reply": "2022-08-22T01:24:17.690124Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Ratio of actual to standard flow: 0.4663198131346627\n", "Air density: 2.6183038705121247 kilogram / meter ** 3\n" ] } ], "source": [ "# Take nitrogen-oxygen as air, and find the density and ratio\n", "from chemicals import Vm_to_rho\n", "from thermo import PRMIX\n", "zs = [0.79, 0.21]\n", "Tcs = [126.2, 154.58]\n", "Pcs = [3394387.5, 5042945.25]\n", "omegas = [0.04, 0.021]\n", "MWs = [28.0134, 31.9988]\n", "MW = sum(MWs[i]*zs[i] for i in range(2))\n", "\n", "eos_flowing = PRMIX(T=(T).to(u.K).magnitude, P=P.to(u.Pa).magnitude, zs=zs, Tcs=Tcs, Pcs=Pcs, omegas=omegas)\n", "eos_std = PRMIX(T=288.15, P=101325.0, zs=zs, Tcs=Tcs, Pcs=Pcs, omegas=omegas)\n", "V_ratio = eos_flowing.V_g/eos_std.V_g\n", "print('Ratio of actual to standard flow: %s' %(V_ratio))\n", "\n", "rho = Vm_to_rho(eos_flowing.V_g, MW)*u.kg/u.m**3\n", "print('Air density: %s' %(rho))" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:24:17.717093Z", "iopub.status.busy": "2022-08-22T01:24:17.716628Z", "iopub.status.idle": "2022-08-22T01:24:17.782653Z", "shell.execute_reply": "2022-08-22T01:24:17.781967Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Flow rate = 3773.572213074693 foot ** 3 / hour\n" ] } ], "source": [ "for i in range(5):\n", " # Problem says to consider 1 exit, and compressible friction\n", " K = K_from_f(fd=fd, L=L, D=D_pipe)\n", " K += exit_normal()\n", " # lump the two losses together for the `isothermal_gas` function\n", " fd_tot = f_from_K(L=L, D=D_pipe, K=K)\n", " m = isothermal_gas(rho=rho, fd=fd_tot, P1=P, P2=P2, L=L, D=D_pipe)\n", " Q = m/rho\n", " v = Q/A\n", " # update frictoin factor\n", " Re = Reynolds(D=D_pipe, rho=rho, mu=mu, V=v)\n", " fd = friction_factor(Re=Re, eD=0.0018*u.inch/D_pipe)\n", " Q_std = Q/V_ratio\n", "print('Flow rate = %s' %(Q_std.to(u.ft**3/u.hour)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The solution given in Crane is 3762 scfh. The solution there uses a simpler formula and does not iterate to converge the friction factor." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.5" } }, "nbformat": 4, "nbformat_minor": 1 } ././@LongLink0000644000000000000000000000016700000000000011607 Lustar rootrootfluids-1.0.22/docs/Examples/Crane TP 410 Solved Problems/7.3 L, L over D, K, and Kv for Conventional Type Valves.ipynbfluids-1.0.22/docs/Examples/Crane TP 410 Solved Problems/7.3 L, L over D, K, and Kv for Conventional0000644000175000017500000000455014302004506030432 0ustar nileshnilesh{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 7.3 L, L over D, K, and Kv for Conventional Type Valves" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "A 100 mm class 600 steel angle valve, has a full area seat.\n", "\n", "Calculate its resistance coefficient K, flow coefficient Kv, the equivalent length of it L/D, and the length for complete turbulent L." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:20:19.283224Z", "iopub.status.busy": "2022-08-22T01:20:19.282703Z", "iopub.status.idle": "2022-08-22T01:20:19.972195Z", "shell.execute_reply": "2022-08-22T01:20:19.971213Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Loss coefficient = 2.4729637821072443 dimensionless\n", "Valve flow coefficient = 240.31652930826877 meter ** 3 / hour\n", "Equivalent length = 149.8765928549845 dimensionless\n", "Length for complete turbulence = 14.568004825504492 meter\n" ] } ], "source": [ "from fluids.units import *\n", "NPS, Di, Do, t = nearest_pipe(Do=0.103*u.m, schedule='80')\n", "fd = 0.0165 # provided - note equivalent length is proportional to this value\n", "d = 0.0972*u.m # diameter of seat\n", "K = K_angle_valve_Crane(D1=d, D2=Di, fd=fd, style=1)\n", "Kv = K_to_Kv(K, d)\n", "L_D = L_equiv_from_K(K, fd)\n", "L = L_D*d\n", "\n", "print('Loss coefficient = %s' %K)\n", "print('Valve flow coefficient = %s' %Kv)\n", "print('Equivalent length = %s' % L_D)\n", "print('Length for complete turbulence = %s' %L)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The values given in the solution are K=2.475, Kv = 240.2, L/D=150, and L = 14.6." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.5" } }, "nbformat": 4, "nbformat_minor": 1 } ././@LongLink0000644000000000000000000000021000000000000011574 Lustar rootrootfluids-1.0.22/docs/Examples/Crane TP 410 Solved Problems/7.25 Rectangular Duct - Application of Hydraulic Radius to Flow Problems.ipynbfluids-1.0.22/docs/Examples/Crane TP 410 Solved Problems/7.25 Rectangular Duct - Application of Hydr0000644000175000017500000001057114302004506031161 0ustar nileshnilesh{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 7.25 Rectangular Duct - Application of Hydraulic Radius to Flow Problems" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Given a rectangular concrete overflow aqueduct is 25 feet high and 16.5 feed wide. Its roughness is 0.01 feet. \n", "The height of the water in the reservoir is 200 feet, and the length of the aqueduct is 1000 feet.\n", "\n", "Find the discharge rate (ft^3/s)." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:19:20.547517Z", "iopub.status.busy": "2022-08-22T01:19:20.546922Z", "iopub.status.idle": "2022-08-22T01:19:21.200811Z", "shell.execute_reply": "2022-08-22T01:19:21.200103Z" } }, "outputs": [], "source": [ "from fluids.units import *\n", "from math import pi\n", "rho = 62.364*u.lb/u.ft**3\n", "mu = 1.1*u.cP\n", "\n", "W = 16.5*u.foot\n", "Hw = 25*u.foot\n", "A = W*Hw\n", "Pw = Hw*2 + W*2\n", "\n", "Rh = A/Pw\n", "Dh = 4.0*Rh\n", "\n", "eD = .01*u.foot/Dh\n", "H = 200*u.foot\n", "L = 1000*u.foot" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:19:21.205862Z", "iopub.status.busy": "2022-08-22T01:19:21.205472Z", "iopub.status.idle": "2022-08-22T01:19:21.222629Z", "shell.execute_reply": "2022-08-22T01:19:21.221473Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Flow rate = 30049.50805498884 foot ** 3 / second\n", "Flow rate = 30135.24506735869 foot ** 3 / second\n", "Flow rate = 30135.24898850496 foot ** 3 / second\n", "Flow rate = 30135.24898868379 foot ** 3 / second\n", "Flow rate = 30135.248988683794 foot ** 3 / second\n" ] } ], "source": [ "fd = 0.017 # assumed initial guess\n", "Re = 1E5\n", "for i in range(5):\n", " K = K_from_f(fd=fd, L=L, D=Dh)\n", " K += entrance_sharp()\n", " K += exit_normal()\n", "\n", " v = (2*u.gravity*H/K)**0.5\n", " Q = A*v\n", " print('Flow rate = %s' %(Q.to(u.ft**3/u.s)))\n", " Re = Reynolds(D=Dh, rho=rho, mu=mu, V=v)\n", " fd = friction_factor(Re=Re, eD=eD)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The solution given in Crane is 30600 ft^3/s, without iteration." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also solve the problem using the manning formula, designed for open flow. Different values of the manning `n` coefficient give different results, but a likely value for concrete yields a surprisingly different answer than the hydraulic radius approach." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:19:21.246490Z", "iopub.status.busy": "2022-08-22T01:19:21.246011Z", "iopub.status.idle": "2022-08-22T01:19:21.264991Z", "shell.execute_reply": "2022-08-22T01:19:21.264089Z" } }, "outputs": [ { "data": { "text/html": [ "61407.46714336768 foot3/second" ], "text/latex": [ "$61407.46714336768\\ \\frac{\\mathrm{foot}^{3}}{\\mathrm{second}}$" ], "text/plain": [ "61407.46714336768 " ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "S = H/L # slope, m/m\n", "# n = 0.0106*u.s/u.m**(1/3) # https://www.usbr.gov/tsc/techreferences/hydraulics_lab/pubs/HYD/HYD-585.pdf\n", "n = 0.013*u.s/u.m**(1/3)\n", "\n", "v = V_Manning(Rh=Rh, S=S, n=n)\n", "(v*A).to(u.ft**3/u.s)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.5" } }, "nbformat": 4, "nbformat_minor": 1 } ././@LongLink0000644000000000000000000000017300000000000011604 Lustar rootrootfluids-1.0.22/docs/Examples/Crane TP 410 Solved Problems/7.28 Checking for Choked Flow Conditions in a Control Valve.ipynbfluids-1.0.22/docs/Examples/Crane TP 410 Solved Problems/7.28 Checking for Choked Flow Conditions in0000644000175000017500000000465214302004506031234 0ustar nileshnilesh{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 7.28 Checking for Choked Flow Conditions in a Control Valve" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Given the data from example 7.27, with a FL of 0.9.\n", "Confirm that choke will not occur in the control valve." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-08-22T01:19:35.826922Z", "iopub.status.busy": "2022-08-22T01:19:35.826272Z", "iopub.status.idle": "2022-08-22T01:19:36.497933Z", "shell.execute_reply": "2022-08-22T01:19:36.496673Z" } }, "outputs": [ { "data": { "text/plain": [ "(18.966081253330014 ,\n", " 70.8 )" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from fluids.units import *\n", "Psat = 4.75*u.psi\n", "Pc = 3198*u.psi\n", "P1 = 80.6*u.psi\n", "P2 = 70.8*u.psi\n", "\n", "P2_choke = control_valve_choke_P_l(Psat=Psat, Pc=Pc, FL=0.9, P1=P1)\n", "\n", "ratio = (P2/P2_choke).to_base_units()\n", "assert ratio.magnitude > 1\n", "\n", "P2_choke.to(u.psi), P2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can calculate the choke pressure directly thanks to the nice ISA equations.\n", "With `control_valve_choke_P_l`, we calculate the downstream pressure required for choke flow to form.\n", "So long as P2 is larger than the choke pressure, no choke will occur.\n", "\n", "Crane gives two solutions, one complicated and not necessary, and one that works on the same equation as `control_valve_choke_P_l`. Crane calculates `FLP` to use with that equation but only `FL` is supposed to be used, so they get a choke pressure of 20.8 psi instead of 19 psi here." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.5" } }, "nbformat": 4, "nbformat_minor": 1 } fluids-1.0.22/docs/fluids.flow_meter.rst0000644000175000017500000000061314302004506017514 0ustar nileshnileshOrifice plates, flow nozzles, Venturi tubes, cone and wedge meters (fluids.flow_meter) ====================================================================================== .. meta:: :description: Rigorous set of correlations and solvers for working with flow meters including Orifice plates, nozzles, venturi tubes, cone meters, and wedge meters. .. automodule:: fluids.flow_meter fluids-1.0.22/docs/conf.py0000644000175000017500000002574014302004506014641 0ustar nileshnilesh# -*- coding: utf-8 -*- # # Fluids documentation build configuration file, created by # sphinx-quickstart on Sat Jan 2 17:15:23 2016. # # This file is execfile()d with the current directory set to its # containing dir. # # Note that not all possible configuration values are present in this # autogenerated file. # # All configuration values have a default; values that are commented out # serve to show the default. import sys import os import subprocess #import sys #from mock import Mock as MagicMock # # #class Mock(MagicMock): # @classmethod # def __getattr__(cls, name): # return Mock() # #MOCK_MODULES = ['scipy', 'scipy.interpolate', 'scipy.constants', 'argparse', #'numpy', 'pandas'] #sys.modules.update((mod_name, Mock()) for mod_name in MOCK_MODULES) # If extensions (or modules to document with autodoc) are in another directory, # add these directories to sys.path here. If the directory is relative to the # documentation root, use os.path.abspath to make it absolute, like shown here. #sys.path.insert(0, os.path.abspath('.')) # -- General configuration ------------------------------------------------ # If your documentation needs a minimal Sphinx version, state it here. #needs_sphinx = '1.0' # Add any Sphinx extension module names here, as strings. They can be # extensions coming with Sphinx (named 'sphinx.ext.*') or your custom # ones. import fluids extensions = [ 'sphinx.ext.autodoc', 'sphinx.ext.doctest', 'sphinx.ext.coverage', #'sphinx.ext.mathjax', 'sphinx.ext.viewcode', 'sphinx.ext.autosummary', 'numpydoc', 'nbsphinx', 'matplotlib.sphinxext.plot_directive', 'sphinxcontrib.katex', 'sphinx_sitemap', 'sphinx.ext.intersphinx', ] html_baseurl = 'https://fluids.readthedocs.io/' sitemap_url_scheme = "{link}" sitemap_filename = 'sitemap2.xml' # readthedocs generates its own # Add any paths that contain templates here, relative to this directory. templates_path = ['_templates'] # The suffix of source filenames. source_suffix = '.rst' # The encoding of source files. #source_encoding = 'utf-8-sig' # The master toctree document. master_doc = 'index' # General information about the project. project = u'Fluids' import os import time import datetime build_date = datetime.datetime.utcfromtimestamp( int(os.environ.get('SOURCE_DATE_EPOCH', time.time())) ) copyright = u'2016 - %s, Caleb Bell ' % build_date.year # The version info for the project you're documenting, acts as replacement for # |version| and |release|, also used in various other places throughout the # built documents. # # The short X.Y version. version = fluids.__version__ # The full version, including alpha/beta/rc tags. release = fluids.__version__ # The language for content autogenerated by Sphinx. Refer to documentation # for a list of supported languages. #language = None # There are two options for replacing |today|: either, you set today to some # non-false value, then it is used: #today = '' # Else, today_fmt is used as the format for a strftime call. #today_fmt = '%B %d, %Y' # List of patterns, relative to source directory, that match files and # directories to ignore when looking for source files. exclude_patterns = ['_build', '**.ipynb_checkpoints'] # The reST default role (used for this markup: `text`) to use for all # documents. #default_role = None # If true, '()' will be appended to :func: etc. cross-reference text. #add_function_parentheses = True # If true, the current module name will be prepended to all description # unit titles (such as .. function::). #add_module_names = True # If true, sectionauthor and moduleauthor directives will be shown in the # output. They are ignored by default. #show_authors = False # The name of the Pygments (syntax highlighting) style to use. pygments_style = 'sphinx' # A list of ignored prefixes for module index sorting. #modindex_common_prefix = [] # If true, keep warnings as "system message" paragraphs in the built documents. #keep_warnings = False # -- Options for HTML output ---------------------------------------------- # The theme to use for HTML and HTML Help pages. See the documentation for # a list of builtin themes. html_theme = 'default' # Theme options are theme-specific and customize the look and feel of a theme # further. For a list of options available for each theme, see the # documentation. #html_theme_options = {} # Add any paths that contain custom themes here, relative to this directory. #html_theme_path = [] # The name for this set of Sphinx documents. If None, it defaults to # " v documentation". #html_title = None # A shorter title for the navigation bar. Default is the same as html_title. #html_short_title = None # The name of an image file (relative to this directory) to place at the top # of the sidebar. #html_logo = None # The name of an image file (within the static path) to use as favicon of the # docs. This file should be a Windows icon file (.ico) being 16x16 or 32x32 # pixels large. #html_favicon = None # Add any paths that contain custom static files (such as style sheets) here, # relative to this directory. They are copied after the builtin static files, # so a file named "default.css" will overwrite the builtin "default.css". html_static_path = ['_static'] # Add any extra paths that contain custom files (such as robots.txt or # .htaccess) here, relative to this directory. These files are copied # directly to the root of the documentation. html_extra_path = ['robots.txt'] # If not '', a 'Last updated on:' timestamp is inserted at every page bottom, # using the given strftime format. #html_last_updated_fmt = '%b %d, %Y' # If true, SmartyPants will be used to convert quotes and dashes to # typographically correct entities. #html_use_smartypants = True # Custom sidebar templates, maps document names to template names. #html_sidebars = {} # Additional templates that should be rendered to pages, maps page names to # template names. #html_additional_pages = {} # If false, no module index is generated. #html_domain_indices = True # If false, no index is generated. #html_use_index = True # If true, the index is split into individual pages for each letter. #html_split_index = False # If true, links to the reST sources are added to the pages. #html_show_sourcelink = True # If true, "Created using Sphinx" is shown in the HTML footer. Default is True. #html_show_sphinx = True # If true, "(C) Copyright ..." is shown in the HTML footer. Default is True. #html_show_copyright = True # If true, an OpenSearch description file will be output, and all pages will # contain a tag referring to it. The value of this option must be the # base URL from which the finished HTML is served. #html_use_opensearch = '' # This is the file name suffix for HTML files (e.g. ".xhtml"). #html_file_suffix = None # Output file base name for HTML help builder. htmlhelp_basename = 'Fluids doc' # -- Options for LaTeX output --------------------------------------------- latex_elements = { # The paper size ('letterpaper' or 'a4paper'). #'papersize': 'letterpaper', # The font size ('10pt', '11pt' or '12pt'). #'pointsize': '10pt', # Additional stuff for the LaTeX preamble. #'preamble': '', } # Grouping the document tree into LaTeX files. List of tuples # (source start file, target name, title, # author, documentclass [howto, manual, or own class]). latex_documents = [ ('index', 'Fluids.tex', u'Fluids Documentation', u'Caleb Bell', 'manual'), ] # The name of an image file (relative to this directory) to place at the top of # the title page. #latex_logo = None # For "manual" documents, if this is true, then toplevel headings are parts, # not chapters. #latex_use_parts = False # If true, show page references after internal links. #latex_show_pagerefs = False # If true, show URL addresses after external links. #latex_show_urls = False # Documents to append as an appendix to all manuals. #latex_appendices = [] # If false, no module index is generated. #latex_domain_indices = True # -- Options for manual page output --------------------------------------- # One entry per manual page. List of tuples # (source start file, name, description, authors, manual section). man_pages = [ ('index', 'fluids', u'Fluids Documentation', [u'Caleb Bell'], 1) ] # If true, show URL addresses after external links. #man_show_urls = False # -- Options for Texinfo output ------------------------------------------- # Grouping the document tree into Texinfo files. List of tuples # (source start file, target name, title, author, # dir menu entry, description, category) texinfo_documents = [ ('index', 'Fluids', u'Fluids Documentation', u'Caleb Bell', 'Fluids', 'One line description of project.', 'Miscellaneous'), ] # Documents to append as an appendix to all manuals. #texinfo_appendices = [] # If false, no module index is generated. #texinfo_domain_indices = True # How to display URL addresses: 'footnote', 'no', or 'inline'. #texinfo_show_urls = 'footnote' # If true, do not generate a @detailmenu in the "Top" node's menu. #texinfo_no_detailmenu = False html_theme = "nature" numpydoc_show_class_members = True numpydoc_show_inherited_class_members = True numpydoc_class_members_toctree = False autosummary_generate = True add_function_parentheses = False autodoc_default_flags = ['undoc-members', 'show-inheritance'] katex_css_path = \ 'https://cdn.jsdelivr.net/npm/katex@0.12.0/dist/katex.min.css' katex_js_path = \ 'https://cdn.jsdelivr.net/npm/katex@0.12.0/dist/katex.min.js' katex_autorender_path = \ 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.12.0/contrib/auto-render.min.js' intersphinx_mapping = {'python': ('https://docs.python.org/3', None), 'numpy': ('http://docs.scipy.org/doc/numpy', None), 'scipy': ('http://docs.scipy.org/doc/scipy/reference', None), 'matplotlib': ('http://matplotlib.sourceforge.net', None), 'chemicals': ('https://chemicals.readthedocs.io/', None)} def has_cmd(cmd): return subprocess.call("type " + cmd, shell=True, stdout=subprocess.PIPE, stderr=subprocess.PIPE) == 0 '''The below approach is not working at this time. It can be fixed with enough development, but for now is not the highest priority. https://github.com/readthedocs/readthedocs.org/issues/7788 https://github.com/hagenw/sphinxcontrib-katex/issues/37 ''' #try: #if not has_cmd('katex'): #os.system('npm install katex') #os.environ['PATH'] = os.environ['PATH'] + ':./node_modules/.bin' #katex_prerender = True #except Exception as e: #print('Could not find katex with error %s' %(e,)) #katex_prerender = False nbsphinx_requirejs_path = '' # fixes katex not working from sphinx.ext.autodoc import between def setup(app): #app.add_javascript('copybutton.js') # Register a sphinx.ext.autodoc.between listener to ignore everything # between lines that contain the word IGNORE app.connect('autodoc-process-docstring', between('(^Chemical Engineering Design Library).*|(^SOFTWARE.$).*', exclude=True)) return app fluids-1.0.22/docs/fluids.particle_size_distribution.rst0000644000175000017500000000026314302004506023006 0ustar nileshnileshParticle Size Distributions (fluids.particle_size_distribution) =============================================================== .. automodule:: fluids.particle_size_distribution fluids-1.0.22/docs/developers.rst0000644000175000017500000003771714302004506016253 0ustar nileshnileshDeveloper's Guide and Roadmap ============================= The `fluids` project has grown to be: * Efficient * Functions do only the work required. * Caching various values, precomputing others. * Using various macros and automated expressions to run code with Numba at its optimal speed. * Not using Numpy/SciPy most of the time, allowing PyPy and Numba to speed code up. * Capable of vectorized computation * Wrapped with Numba's ufunc machinery. * Wrapped with numpy's np.vectorize. * Numba's nogil mechanism is set and used on all methods. * Comprehensive * Most correlations taught at the undergrad level are included. * Most ancillary calculations such as atmospheric properties and tank geometry are included. * Capable of handling units * Pint interface. * All docstrings/code in base SI units. There is no official road map, no full time developers, and no commercial support for this library - this is a hobby project developed primarily by Caleb Bell. Contributors are welcome! Fluid dynamics is really big field and one author can't do everything. Scope and Future Features ------------------------- The following is a list of things that have crossed the author's mind as that would be cool in `fluids` and might make it there at some point. The author has no immediate plans to do any of this. Work by the author happens when inspiration - and free time - happens. Please feel free to work on any of these items: * More pipe schedules. The author has been asked for EN 10255 in https://github.com/CalebBell/fluids/issues/16 and ASTM A269/A270 in an email. * More fitting types. * More tee/wye/junction correlations. * More models for compressible flow, such as: https://www.mathworks.com/help/aerotbx/gas-dynamics-1.html * Multiphase fitting pressure drop. Literature data is sparse. * Multiphase flow meter pressure drop. One correlation has been added but there are more available. * More multiphase flow maps. * Pump viscosity correction from Hydraulic Institute. * Tool to download historical weather data to calculate average historical temperatures and weather to use for design. This is partly complete in a non-exposed module `design_climate.py`. * Models for mixing efficiency. * Additional fluid-particle interaction correlations. Contributing ------------ `fluids` has a lot of infrastructure that makes it attractive to add code to the project. Adding new functionality is possible without compromising load speed, RAM usage or maintainability. If you have a fluids engineering correlation, please feel free to open a PR and we can make any changes needed. There is no template - just do your best. In an ideal world, new contributions would come with unit tests, docstrings, an addition to the tutorial if relevant. Running Tests ------------- From the root directory of the project you downloaded with `git clone https://github.com/CalebBell/fluids.git`, run the following command: python3 -m pytest . This will run all of the tests including the doctests. The test suite can take some time to run; tests are marked with various markers to allow a fast subset of tests to run. python3 -m pytest -m "not slow" . This should only take a few seconds, and show red output if a test is broken. To keep the main test suite fast, pytest allows a flag which shows how long each test takes. python3 -m pytest -m "not slow" --durations=100 If a test you added appears in this list, consider splitting it into a fast portion and a slow portion and decorating the slow portion with "@pytest.mark.slow". Docstrings ---------- The docstrings follow Pep8, most of the numpydoc standard, More information about numpydoc can be found `here `_ In addition to being documentation, the docstrings in `fluids` serve the following purposes: * Contain LaTeX math formulas for implemented formulas. This makes it easy for the reader and authors to follow code. This is especially important when the code can be optimized by hand significantly, and end up not looking like the math formulas. * Contain doctests for every public method. These examples often make debugging really easy since they can just be copy-pasted into Jupyter or an IDE/debugger. * Contain type information for each variable, which is automatically parsed by the unit handling framework around `pint`. * Contain the units of each argument, which is used by the unit handling framework around `pint`. * Contain docstrings for every argument - these are checked by the unit tests programmatically to avoid forgetting to add a description, which the author did often before the checker was added. Doctest ------- As anyone who has used doctest before knows, floating-point calculations have trivially different results across platforms. An example cause of this is that most compilers have different sin/cos implementations which are not identical. However, docstrings are checked bit-for-bit, so consistent output is important. Python is better than most languages at maintaining the same results between versions but it is still an issue. Thanks to a fairly new pytest feature, numbers in doctests can be checked against the number of digits given, not against the real result. It is suggested to put numbers in doctests with around 13 digits, instead of the full repr() string for a number. It is convenient to round the number instead of just removing decimals. Type Hints ---------- The python ecosystem is gradually adding support for type information, which may allow static analyzers to help find bugs in code even before it is ran. The author has not found these helpful in Python yet - the tools are too slow, missing features, and most libraries do not contain type information. However, type hints might still be useful for your program that uses `fluids`! For that reason `fluids` includes a set of type hints as stub files (.pyi extension). These are not generated by hand - they use the cool `MonkeyType `_ library. An included script `make_test_stubs` interfaces with this library, which runs the test suite and at the end generates the type hints including the types of every argument to every function seen in the test suite. This is another reason comprehensive test suite coverage is required. Monkeytype on the `fluids` test suite takes ~15 minutes to run, and generates a ~1 GB database file which is deleted at the end of the run. Some manipulation of the result by hand may be required in the future, or MonkeyType may be replaced by making the type hints by hand. It is planned to incorporate the type stubs into the main file at some point in the future when the tooling is better, and Python 2 support has been dropped completely. Supported Python Versions ------------------------- There is no plan to drop Python 2.7 support at present, but you are advised to use Python 3.5 or later. Both NumPy and SciPy have dropped support for Python 2.7 and eventually a backwards-incompatible change may be needed. Fluids targets Python 2.7 and up as well as PyPy2 and PyPy3. Additionally, fluids has been tested by the author to load in IronPython, Jython, and Micropython. Unfortunately there is no CI infrastructure for these other Python implementations. For IronPython, Jython, and Micropython there is no NumPy/SciPy which means there is no hope of passing the whole test suite on them either; indeed pytest won't load on any of them. If you have a need for a specific feature to work in an implementation, don't hesitate to reach out to the author to discuss it. It is intended for IronPython to support everything except functionality which has a hard dependency on NumPy or SciPy. IronPython is currently Python 2 only; with the Python 3 variant being most of the way there. This may lead to integration with other programs in the future as IronPython is often used as a scripting language. Micropython is designed to run on limited RAM, and fluids is too large for most microprocessors. You will likely have to copy/paste the specific parts of `fluids` you want to use for this application. Jython is not very popular, but please reach out of you are using `fluids` with it. Packaging --------- The most up to date fluids can be obtained on GitHub, and new releases are pushed to PyPi whenever a new release is made. Fluids is available on Conda thanks to Diego Volpatto and on Debian and thus Ubuntu thanks to Kurt Kremitzki. Conda updates more or less automatically but takes hours to build. Code Formatting --------------- Pep8 is loosely followed. Do your best to follow it if possible, otherwise don't worry about it. Please don't submit a PR for just style changes. Some arguments like `Method` or classes like TANK are unfortunately not pep8 for historical reasons. Documentation ------------- Sphinx is used with readthedocs. Readthedocs is configured to build whatever is on the release branch. From the root of the `fluids` project, the documentation can be built with the following command, which will output html files into a "_build" folder: sphinx-build -b html docs _build Sample Notebooks ---------------- The `nbval `_ pytest plugin can be used to check the results of running the notebooks against the stored notebooks. On UNIX/Mac OS/WSL, the notebook results can be regenerated with the following shell command, from the directory with the notebooks: .. code-block:: bash for i in *.ipynb ; do python3 -m nbconvert --to notebook --inplace --execute "$i" ; done Continuous Integration ---------------------- Github Actions, Travis and Appveyor are presently used. They test only code in the `release` branch. Some tests, like those that download data from the internet, are not ran by design on their platforms. The same goes for testing `numba` online - getting an up to date version of numba is challenging. Load Speed ---------- On CPython, `fluids` will load Numpy on load if it is available and `SciPy` when it is needed. Numpy loads in ~150 ms. Fluids alone loads in ~10 ms. It is intended for this to increase only slowly. RAM Usage --------- Loading fluids alone takes ~4 MB of RAM. About 2 MB of this is actually docstrings. About 200 KB of pipe schedules, 100 KB of pump information, and 200 KB of Sieve data is also included. Using fluids should not increase RAM except by the size of objects you initiate; the only things cached are very small. The -OO flag can be used in Python to cut RAM usage significantly, which will not load any docstrings. Adding new data and methods is well worth the price of increasing RAM, but it is intended to keep RAM consumption small via lazy-loading any large data sets. Examples of this can be found in atmosphere.py - spa.py and nrlmsie00.py are lazy-loaded. It is intended for RAM consumption of the library to increase only slowly. Notes on Pint Integration Implementation ---------------------------------------- Units in square brackets in the docstrings are parsed for all function inputs and outputs. They are parsed by Pint directly. In some cases, a function has a variable output unit, as in the case of solvers which can solve for different variables. In that case, the variable unit shouldn't put anything in square brackets. Instead, in `units.py`, the variable `variable_output_unit_funcs` needs to have an entry for the new function. The return unit will be based on which variables are not provided as inputs to the function. True represents a present variable, and False represents a variable left as None. The number of variables the dispatch happens on can be less than the number of function arguments, and should be specified after the units signature. Notes on PyPy ------------- PyPy is really awesome! It does have some drawbacks today: * The C-API which is used by NumPy, SciPy get 2-3 times slower in PyPy. This is originally why `fluids` started implementing its own numerical methods sometimes, although now it is for custom features and increased speed. There is a project to solve this issue: https://github.com/pyhandle/hpy * If running code only a few times, PyPy won't be able to accelerate it as it is a Just In Time Compiler. * Sometimes something gets speed up by PyPy some of the time, but not all of the time. * Uses more memory, typically 1.5x. * Not as good as Numba at generating vectorized, SIMD instructions for the CPU. PyPy also isn't as good at inlining small functions. The main pros of PyPy are: * Really, really fast. Some functions literally save 98% of their time by running in PyPy, although 85% is more typical. * Accelerates ALL of your code, not a little like numba. * For scalar functions PyPy is typically quite a bit faster than numba. * Doesn't need special handling, does everything CPython can do. * Doesn't need a special coding style! A few compromises in the library to make PyPy more performant were made: * Use the `sqrt` operator to compute powers as much as possible. `sqrt` and a few multiplies is much cheaper than a power operator. This is not really noticeable on CPython, but you can tell in PyPy. CPUs have special hardware to make this computation very cheap. Notes on Numba -------------- The main pros of Numba are: * Works with CPython. * Pretty good at generating SIMD instructions. * Fast. Gets all the benefits that LLVM gets. This means if you include a line of code that does nothing in your function, it probably won't run once compiled with numba. * When a complete set of code is wrapped by Numba, it can be multithreaded easily. The main cons of Numba are: * It doesn't come close to supporting all of Python. This really hurts on things like dictionary lookups or functions that return dictionaries. * It is not available on many platforms, used to require Anaconda. * Some code can be really, really slow to compile today. Compiling `fluids` with numba takes ~3 minutes today, after some optimizations. Caching of functions that take functions as arguments is not yet supported, nor are jitclasses. * Can be a pain to work with. Quite a few compromises in the library were made to add Numba compatibility and in cases to make Numba even more performant: * A series of `numba` pragmas were invented and are interpreted by a loader that recompiles the transformed source code of `fluids`. * Functions that accept functions as arguments or use scipy.special functions are not compatible with Numba's caching implementation at this time. To avoid having complaints about that, they are added to a list in numba.py. * Numba does not support raising exceptions with dynamically created messages. Where possible, this means using a constant message. * Sometimes the only way to do something is by changing the code directly. Append "# numba: delete" at the end of a line in a function to delete the line. Add a new commented out line, and append "# numba: uncomment" to it. Then put the name of that function in the variable `to_change` in numba.py, and the changes will be made when using the Numba interface. * 1D arrays should be initialized like [0.0]*4, [my_thing]*my_count; and they put the function in the same `to_change` variable. This will transform them into the right type of array for Numba. * Numba uses efficient cbrts while CPython and PyPy do not; any case of x\*\*(1/3) will turn into a cbrt. x\*\*(2/3) will not, but can be done by hand. It is hoped many of these trade offs can be removed/resolved by future features added to Numba. Things to Keep In Mind While Coding ----------------------------------- 1. Python is often ran with the -O or -OO flag. This reduces its memory use and increases performance a little. One of those optimizations is that any `assert` statements in python code are skipped. This means they should not be used to control a program's flow. This is normally the equivalent of using a Release build vs. a Debug build in C++. 2. Numpy arrays and functions should be used with care. They will make that portion of the code not run on some implementations, and will add a dependency on NumPy for that function. If it is a vectorization issue, consider letting Numba or PyPy accelerate it for you. If it about using some fancy functionality like a fourier transform, then NumPy is the right choice! fluids-1.0.22/docs/fluids.compressible.rst0000644000175000017500000000052614302004506020043 0ustar nileshnileshCompressible flow and compressor sizing (fluids.compressible) ============================================================= .. meta:: :description: Model a compressor, or compressible flow in a pipe with this Python module! Includes Panhandle A, Panhandle B, Weymouth, and Fritzsche equations. .. automodule:: fluids.compressible fluids-1.0.22/docs/fluids.rst0000644000175000017500000000103514302004506015351 0ustar nileshnilesh.. toctree:: fluids.atmosphere fluids.compressible fluids.control_valve fluids.core fluids.drag fluids.filters fluids.fittings fluids.flow_meter fluids.friction fluids.geometry fluids.jet_pump fluids.mixing fluids.numba fluids.open_flow fluids.packed_bed fluids.packed_tower fluids.particle_size_distribution fluids.piping fluids.pump fluids.safety_valve fluids.separator fluids.saltation fluids.two_phase fluids.two_phase_voidage fluids.units fluids.vectorized fluids-1.0.22/docs/plots/0000755000175000017500000000000014302004506014473 5ustar nileshnileshfluids-1.0.22/docs/plots/diffuser_conical_plot.py0000644000175000017500000000272714302004506021412 0ustar nileshnileshimport matplotlib.pyplot as plt import numpy as np from fluids.fittings import diffuser_conical_methods, diffuser_conical styles = ['--', '-.', '-', ':', '.', ',', 'o', 'v', '^', '<', '>', '1', '2', '3', '4'] D_ratios = np.linspace(1-1e-9, .01, 100) #D_ratios = np.linspace(1-1e9, .01, 100) angles = np.array([[2, 4, 8, 10], [15, 20, 25, 30], [45, 60, 90, 120], [135, 150, 165, 180]]) f, axarr = plt.subplots(4, 4) for angle, axes in zip(angles.ravel(), axarr.ravel()): for method, style in zip(diffuser_conical_methods, styles): if method == 'Swamee': continue Ks = [diffuser_conical(Di1=float(Di), Di2=1, Re=1E6, angle=float(angle), method=method) for Di in D_ratios] Ds2 = D_ratios**2 axes.plot(Ds2, Ks, label=method) # + ', angle = ' + str(angle) #axes.legend() axes.set_title(r'$%g^\circ$ Angle' %angle) #axes.set_xlabel('Area ratio') #axes.set_ylabel('K') for item in ([axes.title, axes.xaxis.label, axes.yaxis.label] + axes.get_xticklabels() + axes.get_yticklabels()): item.set_fontsize(6.5) ttl = axes.title.set_position([.5, .93]) plt.subplots_adjust(wspace=.35, hspace=.35) f.suptitle('Comparison of available methods for conical pipe diffusers\n Area ratio (x) vs. Loss coefficient (y)') plt.legend(loc='upper center', bbox_to_anchor=(1.65, 4.7)) plt.subplots_adjust(right=0.82) #plt.show() fluids-1.0.22/docs/plots/contraction_conical_plot.py0000644000175000017500000000260314302004506022117 0ustar nileshnileshimport matplotlib.pyplot as plt import numpy as np from fluids.fittings import contraction_conical_methods, contraction_conical styles = ['--', '-.', '-', ':', '.', ',', 'o', 'v', '^', '<', '>', '1', '2', '3', '4'] D_ratios = np.linspace(1-1e-9, .01, 100) angles = np.array([[2, 4, 8, 10], [15, 20, 25, 30], [45, 60, 90, 120], [135, 150, 165, 180]]) f, axarr = plt.subplots(4, 4) for angle, axes in zip(angles.ravel(), axarr.ravel()): for method, style in zip(contraction_conical_methods, styles): Ks = [contraction_conical(Di1=1, Di2=Di, Re=1E6, angle=angle, method=method) for Di in D_ratios] Ds2 = D_ratios**2 axes.plot(Ds2, Ks, label=method) # + ', angle = ' + str(angle) #axes.legend() axes.set_title(r'$%g^\circ$ Angle' %angle) #axes.set_xlabel('Area ratio') #axes.set_ylabel('K') for item in ([axes.title, axes.xaxis.label, axes.yaxis.label] + axes.get_xticklabels() + axes.get_yticklabels()): item.set_fontsize(6.5) ttl = axes.title.set_position([.5, .93]) plt.subplots_adjust(wspace=.35, hspace=.35) f.suptitle('Comparison of available methods for conical pipe contractions\n Area ratio (x) vs. Loss coefficient (y)') plt.legend(loc='upper center', bbox_to_anchor=(1.65, 4.7)) plt.subplots_adjust(right=0.82) #plt.show() fluids-1.0.22/docs/plots/entrance_distance_plot.py0000644000175000017500000000071114302004506021553 0ustar nileshnileshimport matplotlib.pyplot as plt import numpy as np from fluids.fittings import entrance_distance_methods from fluids.fittings import entrance_distance ts = np.linspace(0,0.3, 1000) for method in entrance_distance_methods: Ks = [entrance_distance(Di=1.0, t=t, method=method) for t in ts] plt.plot(ts, Ks, label=method) plt.legend() plt.title("Comparison of available methods for re-entrant entrances") plt.xlabel('t/Di') plt.ylabel('K') #plt.show() fluids-1.0.22/docs/plots/ft_Crane_plot.py0000644000175000017500000000235314302004506017627 0ustar nileshnileshimport matplotlib.pyplot as plt import numpy as np from math import log10 from scipy.interpolate import UnivariateSpline from fluids.friction import Crane_fts_Ds, Crane_fts, ft_Crane, roughness_Farshad, friction_factor roughness = .05E-3 plt.plot(Crane_fts_Ds, Crane_fts, 'o', label='Crane data') spline_obj = UnivariateSpline(Crane_fts_Ds, Crane_fts, k=3, s=5e-6) Ds_interp = np.linspace(Crane_fts_Ds[0], Crane_fts_Ds[-1], 500) plt.plot(Ds_interp, spline_obj(Ds_interp), label='Cubic spline') ft_crane_correlation = [.25/log10(roughness/(Di)/3.7)**2 for Di in Crane_fts_Ds] plt.plot(Crane_fts_Ds, ft_crane_correlation, label='Crane formula') plt.plot(Crane_fts_Ds, [round(i, 3) for i in ft_crane_correlation], '.', label='Crane formula (rounded)') eDs_Farshad = [roughness_Farshad(ID='Carbon steel, bare', D=D)/D for D in Crane_fts_Ds] fts_good = [friction_factor(Re=7.5E6*Di, eD=ed) for ed, Di in zip(eDs_Farshad, Crane_fts_Ds)] plt.plot(Crane_fts_Ds, fts_good, label='Colebrook') plt.plot(Crane_fts_Ds, [round(i, 3) for i in fts_good], 'x', label='Colebrook (rounded)') plt.legend() plt.title("Comparison of implementation options") plt.xlabel('Pipe actual diameter, [m]') plt.ylabel('Darcy friction factor, [-]') #plt.show() fluids-1.0.22/docs/plots/entrance_rounded_plot.py0000644000175000017500000000075214302004506021426 0ustar nileshnileshimport matplotlib import matplotlib.pyplot as plt import numpy as np from fluids.fittings import entrance_rounded_methods from fluids.fittings import entrance_rounded rcs = np.linspace(0,0.4, 1000) for method in entrance_rounded_methods: Ks = [entrance_rounded(Di=1.0, rc=rc, method=method) for rc in rcs] plt.plot(rcs, Ks, label=method) plt.legend() plt.title('Comparison of available methods for rounded flush entrances to pipes') plt.xlabel('rc/Di') plt.ylabel('K') #plt.show() fluids-1.0.22/docs/plots/bend_rounded_Crane_plot.py0000644000175000017500000000152214302004506021643 0ustar nileshnileshimport matplotlib.pyplot as plt import numpy as np from scipy.interpolate import UnivariateSpline from fluids.optional.pychebfun import chebfun from fluids.fittings import bend_rounded_Crane_ratios, bend_rounded_Crane_fds, bend_rounded_Crane_coeffs ratios = np.linspace(1, 20, 1000) bend_rounded_Crane_obj = UnivariateSpline(bend_rounded_Crane_ratios, bend_rounded_Crane_fds, s=0) fun = chebfun(f=bend_rounded_Crane_obj, domain=[1,20], N=10) plt.plot(bend_rounded_Crane_ratios, bend_rounded_Crane_fds, 'x', label='Crane data') plt.plot(ratios, bend_rounded_Crane_obj(ratios), label='Cubic spline') plt.plot(ratios, fun(ratios), label='Chebyshev approximation') plt.legend() plt.title("Interpolation of Crane ft multipliers for pipe bend losses") plt.xlabel('Bend radius/pipe diameter ratio') plt.ylabel('Friction factor multiplier') #plt.show() fluids-1.0.22/docs/plots/entrance_beveled_plot.py0000644000175000017500000000133614302004506021373 0ustar nileshnileshimport matplotlib.pyplot as plt import numpy as np from fluids.fittings import entrance_beveled_methods from fluids.fittings import entrance_beveled angles = np.linspace(0, 90, 200) # 90 or 180? Plotted in Rennels only to 90. styles = ['--', '-.', '-', ':', '.', ',', 'o', 'v', '^', '<', '>', '1', '2', '3', '4'] l_ratios = [0.025, 0.05, 0.1, 0.25, .5, .75, 1] for l, style in zip(l_ratios, styles): for method in entrance_beveled_methods: Ks = [entrance_beveled(Di=1.0, l=l, angle=angle, method=method) for angle in angles] plt.plot(angles, Ks, style, label=method + ', l/Di=%g' %l) plt.legend() plt.title("Comparison of available methods for beveled entrances") plt.xlabel('angle') plt.ylabel('K') #plt.show() fluids-1.0.22/docs/plots/bend_miter_plot.py0000644000175000017500000000237314302004506020220 0ustar nileshnileshimport matplotlib.pyplot as plt import numpy as np from fluids.fittings import bend_miter, bend_miter_methods styles = ['--', '-.', '-', ':', '.', ',', 'o', 'v', '^', '<', '>', '1', '2', '3', '4'] angles = np.linspace(0.0, 120.0, 100) Res = np.array([[1E4, 4E4, 8E4], [2E5, 5E5, 1E6], [5E6, 1E7, 1E8]]) f, axarr = plt.subplots(3, 3) for Re, axes in zip(Res.ravel(), axarr.ravel()): for method, style in zip(bend_miter_methods, styles): Di = 0.05 # Makes Crane go up or down Ks = [bend_miter(angle=angle, Di=Di, Re=Re, roughness=.05E-3, L_unimpeded=Di*20, method=method) for angle in angles] axes.plot(angles, Ks, label=method) # + ', angle = ' + str(angle) axes.set_title(r'Re = %g' %Re) for item in ([axes.title, axes.xaxis.label, axes.yaxis.label] + axes.get_xticklabels() + axes.get_yticklabels()): item.set_fontsize(6.5) ttl = axes.title.set_position([.5, .98]) plt.subplots_adjust(wspace=.35, hspace=.35) f.suptitle('Comparison of available methods for mitre bend losses\n Angle (x) vs. Loss coefficient (y)') plt.legend(loc='upper center', bbox_to_anchor=(1.5, 2.4)) plt.subplots_adjust(right=0.82, top=.85, bottom=.05) #plt.show() fluids-1.0.22/docs/plots/contraction_round_plot.py0000644000175000017500000000140014302004506021630 0ustar nileshnileshimport matplotlib.pyplot as plt import numpy as np from fluids.fittings import contraction_round, contraction_round_methods styles = ['--', '-.', '-', ':', '.', ',', 'o', 'v', '^', '<', '>', '1', '2', '3', '4'] D_ratios = np.linspace(1-1e-9, .01, 1000) radius_ratios = [.1, .06, .04, .02, 0] #np.linspace(0, 0.2, 3) for radius_ratio in radius_ratios: for method, style in zip(contraction_round_methods, styles): Ks = [contraction_round(Di1=1, Di2=Di, rc=Di*radius_ratio, method=method) for Di in D_ratios] Ds2 = D_ratios**2 plt.plot(Ds2, Ks, style, label=method + ', ratio = ' + str(radius_ratio)) plt.legend() plt.title("Comparison of available methods for rounded pipe contractions") plt.xlabel('Area ratio') plt.ylabel('K') #plt.show() fluids-1.0.22/docs/fluids.piping.rst0000644000175000017500000000042714302004506016642 0ustar nileshnileshPipe schedules (fluids.piping) ============================== .. meta:: :description: Implementation of pipe schedules 40, 80, 120 and more from B36.10M-2004, Stainless Steel Pipe B36-19M-2004, and many plastic pipe schedules in Python. .. automodule:: fluids.piping fluids-1.0.22/docs/fluids.mixing.rst0000644000175000017500000000024214302004506016642 0ustar nileshnileshMixing (fluids.mixing) ====================== .. meta:: :description: Various calculations for fluid mixing in Python. .. automodule:: fluids.mixing fluids-1.0.22/docs/robots.txt0000644000175000017500000000010314302004506015375 0ustar nileshnileshUser-agent: * Sitemap: https://fluids.readthedocs.io/sitemap2.xml fluids-1.0.22/docs/_static/0000755000175000017500000000000014302004506014760 5ustar nileshnileshfluids-1.0.22/docs/_static/copybutton.js0000644000175000017500000000532114302004506017525 0ustar nileshnilesh$(document).ready(function() { /* Add a [>>>] button on the top-right corner of code samples to hide * the >>> and ... prompts and the output and thus make the code * copyable. */ var div = $('.highlight-python .highlight,' + '.highlight-default .highlight,' + '.highlight-python3 .highlight') var pre = div.find('pre'); // get the styles from the current theme pre.parent().parent().css('position', 'relative'); var hide_text = 'Hide the prompts and output'; var show_text = 'Show the prompts and output'; var border_width = pre.css('border-top-width'); var border_style = pre.css('border-top-style'); var border_color = pre.css('border-top-color'); var button_styles = { 'cursor':'pointer', 'position': 'absolute', 'top': '0', 'right': '0', 'border-color': border_color, 'border-style': border_style, 'border-width': border_width, 'color': border_color, 'text-size': '75%', 'font-family': 'monospace', 'padding-left': '0.2em', 'padding-right': '0.2em', 'border-radius': '0 3px 0 0' } // create and add the button to all the code blocks that contain >>> div.each(function(index) { var jthis = $(this); if (jthis.find('.gp').length > 0) { var button = $('>>>'); button.css(button_styles) button.attr('title', hide_text); button.data('hidden', 'false'); jthis.prepend(button); } // tracebacks (.gt) contain bare text elements that need to be // wrapped in a span to work with .nextUntil() (see later) jthis.find('pre:has(.gt)').contents().filter(function() { return ((this.nodeType == 3) && (this.data.trim().length > 0)); }).wrap(''); }); // define the behavior of the button when it's clicked $('.copybutton').click(function(e){ e.preventDefault(); var button = $(this); if (button.data('hidden') === 'false') { // hide the code output button.parent().find('.go, .gp, .gt').hide(); button.next('pre').find('.gt').nextUntil('.gp, .go').css('visibility', 'hidden'); button.css('text-decoration', 'line-through'); button.attr('title', show_text); button.data('hidden', 'true'); } else { // show the code output button.parent().find('.go, .gp, .gt').show(); button.next('pre').find('.gt').nextUntil('.gp, .go').css('visibility', 'visible'); button.css('text-decoration', 'none'); button.attr('title', hide_text); button.data('hidden', 'false'); } }); }); fluids-1.0.22/docs/test_documentation.py0000644000175000017500000000336614302004506017624 0ustar nileshnilesh# -*- coding: utf-8 -*- '''Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2021 Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.''' import pytest import os ''' Tests that run aspects of the documentation should go in here. The only bit included right now are the plots, which should run without an error; no contents checking is performed. ''' plots_folder = os.path.join(os.path.dirname(os.path.dirname(__file__)), 'docs', 'plots') plot_files = [i for i in os.listdir(plots_folder) if i.endswith('.py')] print(plot_files) @pytest.mark.parametrize("file", plot_files) def test_documentation_plots(file): import matplotlib matplotlib.use('Agg') exec(open(os.path.join(plots_folder, file)).read(), globals()) # fluids-1.0.22/docs/fluids.units.rst0000644000175000017500000000745314302004506016524 0ustar nileshnileshSupport for pint Quantities (fluids.units) ========================================== Basic module which wraps all fluids functions and classes to be compatible with the `pint `_ unit handling library. All other object - dicts, lists, etc - are not wrapped. >>> import fluids >>> fluids.units.friction_factor # doctest: +ELLIPSIS The fluids.units module also supports star imports; the same objects exported when importing from the main library will be imported from fluids.units. >>> from fluids.units import * It is also possible to use `fluids.units` without the star import: There is no global unit registry in pint, and each registry must be a singleton. However, there is a default registry which is suitable for use in multiple modules at once. This default registry should be imported in one of the following ways (it does not need to be called `u`; it can be imported from pint as `ureg` or any other name): >>> from pint import _DEFAULT_REGISTRY as u Note that if the star import convention is used, the default unit registry be imported as `u` for you. Unlike the normal convention, this registry is already initialized. To repeat it again, you CANNOT do the following in your project and work with fluids.units. >>> from pint import UnitRegistry >>> u = UnitRegistry() # doctest: +SKIP All dimensional arguments to functions in fluids.units must be provided as Quantity objects. >>> Reynolds(V=3.5*u.m/u.s, D=2*u.m, rho=997.1*u.kg/u.m**3, mu=1E-3*u.Pa*u.s) The result is always one or more Quantity objects, depending on the signature of the function called. For arguments whose documentation specify they are dimensionless, they can optionally be passed in without making them dimensionless numbers with pint. >>> speed_synchronous(50*u.Hz, poles=12*u.dimensionless) # doctest: +SKIP >>> speed_synchronous(50*u.Hz, poles=12) It is good practice to use dimensionless quantities as follows, but it is optional. >>> K_separator_Watkins(0.88*u.dimensionless, 985.4*u.kg/u.m**3, 1.3*u.kg/u.m**3, horizontal=True) Like all pint registries, the default unit system can be changed. However, all functions will still return the unit their documentation says they do. To convert to the new base units, use the method .to_base_units(). >>> u.default_system = 'imperial' >>> K_separator_Watkins(0.88*u.dimensionless, 985.4*u.kg/u.m**3, 1.3*u.kg/u.m**3, horizontal=True).to_base_units() >>> u.default_system = 'mks' The order of the arguments to a function is the same as it is in the regular library; it won't try to infer argument position from their units, an exception will be raised. >>> K_separator_Watkins(985.4*u.kg/u.m**3, 1.3*u.kg/u.m**3, 0.88*u.dimensionless, horizontal=True) # doctest: +SKIP Exception: Converting 0.88 dimensionless to units of kg/m^3 raised DimensionalityError: Cannot convert from 'dimensionless' (dimensionless) to 'kilogram / meter ** 3' ([mass] / [length] ** 3) Support for classes is provided by wrapping each class by a proxy class which reads the docstrings of each method and the main class to determine the inputs and outputs. Properties, attributes, inputs, and units are all included. >>> T1 = TANK(L=3*u.m, D=150*u.cm, horizontal=True) >>> T1.V_total, T1.h_max (, ) >>> T1.V_from_h(0.1*u.m) >>> atm = ATMOSPHERE_NRLMSISE00(Z=1E3*u.m, latitude=45*u.degrees, longitude=45*u.degrees, day=150*u.day) >>> atm.rho, atm.O2_density (, )fluids-1.0.22/docs/fluids.filters.rst0000644000175000017500000000044114302004506017020 0ustar nileshnileshFilter pressure drop (fluids.filters) ===================================== .. meta:: :description: Calculate the loss coefficient of a screen or grill in a pipe. These correlations are useful when designing a hydraulic network or simple system. .. automodule:: fluids.filters fluids-1.0.22/docs/Data/0000755000175000017500000000000014302004506014203 5ustar nileshnileshfluids-1.0.22/docs/Data/Friction.ipynb0000644000175000017500000004430314302004506017027 0ustar nileshnilesh{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Friction" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Experimental friction factors" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import numpy as np\n", "from fluids.friction import friction_factor, oregon_Res, oregon_fd_smooth\n", "import matplotlib.pyplot as plt\n", "\n", "Res = np.logspace(np.log10(oregon_Res[0]), np.log10(oregon_Res[-1]), 500)\n", "fds_calc = [friction_factor(Re) for Re in Res]\n", "plt.loglog(oregon_Res, oregon_fd_smooth, 'x', label='Oregon Data')\n", "plt.loglog(Res, fds_calc, label='Colebrook')\n", "plt.xlabel('Reynolds number')\n", "plt.ylabel('Darcy friction factor')\n", "plt.title(\"Experimental friction factor data for smooth pipe\")\n", "plt.legend()\n", "plt.plot()" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[11.21, 20.22, 29.28, 43.19, 57.73, 64.58, 86.05, 113.3, 135.3, 157.5, 179.4, 206.4, 228.0, 270.9, 315.2, 358.9, 402.9, 450.2, 522.5, 583.1, 671.8, 789.8, 891.0, 1013.0, 1197.0, 1300.0, 1390.0, 1669.0, 1994.0, 2227.0, 2554.0, 2868.0, 2903.0, 2926.0, 2955.0, 2991.0, 2997.0, 3047.0, 3080.0, 3264.0, 3980.0, 4835.0, 5959.0, 8162.0, 10900.0, 13650.0, 18990.0, 29430.0, 40850.0, 59220.0, 84760.0, 120000.0, 176000.0, 237700.0, 298200.0, 467800.0, 587500.0, 824200.0, 1050000.0]\n", "[5.537, 3.492, 2.329, 1.523, 1.173, 0.9863, 0.7826, 0.5709, 0.4815, 0.4182, 0.3655, 0.3237, 0.2884, 0.2433, 0.2077, 0.1834, 0.1656, 0.1475, 0.1245, 0.1126, 0.09917, 0.08501, 0.07722, 0.06707, 0.0588, 0.05328, 0.04815, 0.04304, 0.03739, 0.03405, 0.03091, 0.02804, 0.03182, 0.03846, 0.03363, 0.04124, 0.035, 0.03875, 0.04285, 0.0426, 0.03995, 0.03797, 0.0361, 0.03364, 0.03088, 0.02903, 0.0267, 0.02386, 0.02086, 0.02, 0.01805, 0.01686, 0.01594, 0.01511, 0.01462, 0.01365, 0.01313, 0.01244, 0.01198]\n" ] } ], "source": [ "print(oregon_Res)\n", "print(oregon_fd_smooth)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Roughness data" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "{'Brass': 1.52e-06,\n", " 'Lead': 1.52e-06,\n", " 'Glass': 1.52e-06,\n", " 'Steel': 1.52e-06,\n", " 'Asphalted cast iron': 0.000122,\n", " 'Galvanized iron': 0.000152,\n", " 'Cast iron': 0.000259,\n", " 'Wood stave': 0.000183,\n", " 'Rough wood stave': 0.000914,\n", " 'Concrete': 0.000305,\n", " 'Rough concrete': 0.00305,\n", " 'Riveted steel': 0.000914,\n", " 'Rough riveted steel': 0.00914}" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from fluids.friction import _roughness\n", "# Material from Perry's handbook; roughness in meters.\n", "_roughness" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Really good table from Idelʹchik, I. E, and A. S Ginevskiĭ. Handbook of Hydraulic \n", "Resistance. Redding, CT: Begell House, 2007.**" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "{'Rough channels in rock, Blast-hewed, little jointing': (0.1, 0.14, None),\n", " 'Rough channels in rock, Blast-hewed, substantial jointing': (0.13,\n", " 0.5,\n", " None),\n", " 'Rough channels in rock, Roughly cut or very uneven surface': (0.5,\n", " 1.5,\n", " None),\n", " 'Unlined tunnels, Rocks, gneiss, diameter 3-13.5 m': (0.3, 0.7, None),\n", " 'Unlined tunnels, Rocks, granite, diameter 3-9 m': (0.2, 0.7, None),\n", " 'Unlined tunnels, Shale, diameter, diameter 9-12 m': (0.25, 0.65, None),\n", " 'Unlined tunnels, Shale, quartz, quartzile, diameter 7-10 m': (0.2,\n", " 0.6,\n", " None),\n", " 'Unlined tunnels, Shale, sedimentary, diameter 4-7 m': (None, None, 0.4),\n", " 'Unlined tunnels, Shale, nephrite bearing, diameter 3-8 m': (None, None, 0.2),\n", " 'Wood tubes, Boards, thoroughly dressed': (None, None, 0.00015),\n", " 'Wood tubes, Boards, well dressed': (None, None, 0.0003),\n", " 'Wood tubes, Boards, undressed but fitted': (None, None, 0.0007),\n", " 'Wood tubes, Boards, undressed': (None, None, 0.001),\n", " 'Wood tubes, Staved': (None, None, 0.0006),\n", " 'Plywood tubes, Birch plywood, transverse grain, good quality': (None,\n", " None,\n", " 0.00012),\n", " 'Plywood tubes, Birch plywood, longitudal grain, good quality': (3e-05,\n", " 5e-05,\n", " None),\n", " 'Glass tubes, Glass': (1.5e-06, 1e-05, None),\n", " 'Concrete water conduits, no finish, New and finished with plater; excellent manufacture (joints aligned, prime coated and smoothed)': (5e-05,\n", " 0.00015,\n", " None),\n", " 'Concrete water conduits, no finish, Used and corroded; with a wavy surface and wood framework': (0.001,\n", " 0.004,\n", " None),\n", " 'Concrete water conduits, no finish, Old, poor fitting and manufacture; with an overgrown surface and deposits of sand and gravel': (0.001,\n", " 0.004,\n", " None),\n", " 'Concrete water conduits, no finish, Very old; damaged surface, very overgrown': (0.005,\n", " None,\n", " None),\n", " 'Concrete water conduits, no finish, Water conduit, finished with smoothed plaster': (0.005,\n", " None,\n", " None),\n", " 'Concrete water conduits, no finish, New, very well manufactured, hand smoothed, prime-coated joints': (0.0001,\n", " 0.0002,\n", " None),\n", " 'Concrete water conduits, no finish, Hand-smoothed cement finish and smoothed joints': (0.00015,\n", " 0.00035,\n", " None),\n", " 'Concrete water conduits, no finish, Used, no deposits, moderately smooth, steel or wooden casing, joints prime coated but not smoothed': (0.0003,\n", " 0.0006,\n", " None),\n", " 'Concrete water conduits, no finish, Used, prefabricated monoliths, cement plaster (wood floated), rough joints': (0.0005,\n", " 0.001,\n", " None),\n", " 'Concrete water conduits, no finish, Conduits for water, sprayed surface of concrete': (0.0005,\n", " 0.001,\n", " None),\n", " 'Concrete water conduits, no finish, Smoothed air-placed, either sprayed concrete or concrete on more concrete': (0.006,\n", " 0.017,\n", " None),\n", " 'Concrete water conduits, no finish, Brushed air-placed, either sprayed concrete or concrete on more concrete': (None,\n", " None,\n", " 0.0023),\n", " 'Concrete water conduits, no finish, Non-smoothed air-placed, either sprayed concrete or concrete on more concrete': (0.003,\n", " 0.006,\n", " None),\n", " 'Reinforced concrete tubes, New': (0.00025, 0.00034, None),\n", " 'Reinforced concrete tubes, Nonprocessed': (0.0025, None, None),\n", " 'Asbestos cement tubes, New': (5e-05, 0.0001, None),\n", " 'Asbestos cement tubes, Average': (0.0006, None, None),\n", " 'Cement tubes, Smoothed': (0.0003, 0.0008, None),\n", " 'Cement tubes, Non processed': (0.001, 0.002, None),\n", " 'Cement tubes, Joints, non smoothed': (0.0019, 0.0064, None),\n", " 'Cement-mortar plaster channels, Plaster, cement, smoothed joints and protrusions, and a casing': (5e-05,\n", " 0.00022,\n", " None),\n", " 'Cement-mortar plaster channels, Steel trowled': (None, None, 0.0005),\n", " 'Other, Plaster over a screen': (0.01, 0.015, None),\n", " 'Other, Salt-glazed ceramic': (None, None, 0.0014),\n", " 'Other, Slag-concrete': (None, None, 0.0015),\n", " 'Other, Slag and alabaster-filling': (0.001, 0.0015, None),\n", " 'Seamless tubes made from brass, copper, lead, aluminum, Commercially smooth': (1.5e-06,\n", " 1e-05,\n", " None),\n", " 'Seamless steel tubes, New and unused': (2e-05, 0.0001, None),\n", " 'Seamless steel tubes, Cleaned, following years of use': (None, 4e-05, None),\n", " 'Seamless steel tubes, Bituminized': (None, 4e-05, None),\n", " 'Seamless steel tubes, Heating systems piping; either superheated steam pipes, or just water pipes of systems with deaerators and chemical treatment': (None,\n", " None,\n", " 0.0001),\n", " 'Seamless steel tubes, Following one year as a gas pipeline': (None,\n", " None,\n", " 0.00012),\n", " 'Seamless steel tubes, Following multiple year as a gas pipeline': (4e-05,\n", " 0.0002,\n", " None),\n", " 'Seamless steel tubes, Casings in gas wells, different conditions, several years of use': (6e-05,\n", " 0.00022,\n", " None),\n", " 'Seamless steel tubes, Heating systems, saturated steam ducts or water pipes (with minor water leakage < 0.5%, and balance water deaerated)': (None,\n", " None,\n", " 0.0002),\n", " 'Seamless steel tubes, Water heating system pipelines, any source': (None,\n", " None,\n", " 0.0002),\n", " 'Seamless steel tubes, Oil pipelines, intermediate operating conditions ': (None,\n", " None,\n", " 0.0002),\n", " 'Seamless steel tubes, Corroded, moderately ': (None, None, 0.0004),\n", " 'Seamless steel tubes, Scale, small depositions only ': (None, None, 0.0004),\n", " 'Seamless steel tubes, Condensate pipes in open systems or periodically operated steam pipelines': (None,\n", " None,\n", " 0.0005),\n", " 'Seamless steel tubes, Compressed air piping': (None, None, 0.0008),\n", " 'Seamless steel tubes, Following multiple years of operation, generally corroded or with small amounts of scale': (0.00015,\n", " 0.001,\n", " None),\n", " 'Seamless steel tubes, Water heating piping without deaeration but with chemical treatment of water; leakage up to 3%; or condensate piping operated periodically': (None,\n", " None,\n", " 0.001),\n", " 'Seamless steel tubes, Used water piping': (0.0012, 0.0015, None),\n", " 'Seamless steel tubes, Poor condition': (0.005, None, None),\n", " 'Welded steel tubes, Good condition': (4e-05, 0.0001, None),\n", " 'Welded steel tubes, New and covered with bitumen': (None, None, 5e-05),\n", " 'Welded steel tubes, Used and covered with partially dissolved bitumen; corroded': (None,\n", " None,\n", " 0.0001),\n", " 'Welded steel tubes, Used, suffering general corrosion': (None,\n", " None,\n", " 0.00015),\n", " 'Welded steel tubes, Surface looks like new, 10 mm lacquer inside, even joints': (0.0003,\n", " 0.0004,\n", " None),\n", " 'Welded steel tubes, Used Gas mains': (None, None, 0.0005),\n", " 'Welded steel tubes, Double or simple transverse riveted joints; with or without lacquer; without corrosion': (0.0006,\n", " 0.0007,\n", " None),\n", " 'Welded steel tubes, Lacquered inside but rusted': (0.00095, 0.001, None),\n", " 'Welded steel tubes, Gas mains, many years of use, with layered deposits': (None,\n", " None,\n", " 0.0011),\n", " 'Welded steel tubes, Non-corroded and with double transverse riveted joints': (0.0012,\n", " 0.0015,\n", " None),\n", " 'Welded steel tubes, Small deposits': (None, None, 0.0015),\n", " 'Welded steel tubes, Heavily corroded and with double transverse riveted joints': (None,\n", " None,\n", " 0.002),\n", " 'Welded steel tubes, Appreciable deposits': (0.002, 0.004, None),\n", " 'Welded steel tubes, Gas mains, many years of use, deposits of resin/naphthalene': (None,\n", " None,\n", " 0.0024),\n", " 'Welded steel tubes, Poor condition': (0.005, None, None),\n", " 'Riveted steel tubes, Riveted laterally and longitudinally with one line; lacquered on the inside': (0.0003,\n", " 0.0004,\n", " None),\n", " 'Riveted steel tubes, Riveted laterally and longitudinally with two lines; with or without lacquer on the inside and without corrosion': (0.0006,\n", " 0.0007,\n", " None),\n", " 'Riveted steel tubes, Riveted laterally with one line and longitudinally with two lines; thickly lacquered or torred on the inside': (0.0012,\n", " 0.0014,\n", " None),\n", " 'Riveted steel tubes, Riveted longitudinally with six lines, after extensive use': (None,\n", " None,\n", " 0.002),\n", " 'Riveted steel tubes, Riveted laterally with four line and longitudinally with six lines; overlapping joints inside': (None,\n", " None,\n", " 0.004),\n", " 'Riveted steel tubes, Extremely poor surface; overlapping and uneven joints': (0.005,\n", " None,\n", " None),\n", " 'Roofing steel sheets, Oiled': (0.00015, 0.0011, None),\n", " 'Roofing steel sheets, Not Oiled': (2e-05, 4e-05, None),\n", " 'Galzanized steel tubes, Bright galvanization; new': (7e-05, 0.0001, None),\n", " 'Galzanized steel tubes, Ordinary galvanization': (0.0001, 0.00015, None),\n", " 'Galzanized sheet steel, New': (None, None, 0.00015),\n", " 'Galzanized sheet steel, Used previously for water': (None, None, 0.00018),\n", " 'Steel tubes, Glass enamel coat': (1e-06, 1e-05, None),\n", " 'Steel tubes, New': (0.00025, 0.001, None),\n", " 'Cast-iron tubes, New, bituminized': (0.0001, 0.00015, None),\n", " 'Cast-iron tubes, Coated with asphalt': (0.00012, 0.0003, None),\n", " 'Cast-iron tubes, Used water pipelines': (None, None, 0.0014),\n", " 'Cast-iron tubes, Used and corroded': (0.001, 0.0015, None),\n", " 'Cast-iron tubes, Deposits visible': (0.001, 0.0015, None),\n", " 'Cast-iron tubes, Substantial deposits': (0.002, 0.004, None),\n", " 'Cast-iron tubes, Cleaned after extensive use': (0.0003, 0.0015, None),\n", " 'Cast-iron tubes, Severely corroded': (None, 0.003, None),\n", " 'Steel water conduits in generating stations, New, clean, seamless (without joints), well fitted': (1.5e-05,\n", " 4e-05,\n", " None),\n", " 'Steel water conduits in generating stations, New, clean, welded lengthwise and well fitted': (1.2e-05,\n", " 3e-05,\n", " None),\n", " 'Steel water conduits in generating stations, New, clean, welded lengthwise and well fitted, with transverse welded joints': (8e-05,\n", " 0.00017,\n", " None),\n", " 'Steel water conduits in generating stations, New, clean, coated, bituminized when manufactured': (1.4e-05,\n", " 1.8e-05,\n", " None),\n", " 'Steel water conduits in generating stations, New, clean, coated, bituminized when manufactured, with transverse welded joints': (0.0002,\n", " 0.0006,\n", " None),\n", " 'Steel water conduits in generating stations, New, clean, coated, galvanized': (0.0001,\n", " 0.0002,\n", " None),\n", " 'Steel water conduits in generating stations, New, clean, coated, roughly galvanized': (0.0004,\n", " 0.0007,\n", " None),\n", " 'Steel water conduits in generating stations, New, clean, coated, bituminized, curved': (0.0001,\n", " 0.0014,\n", " None),\n", " 'Steel water conduits in generating stations, Used, clean, slight corrosion': (0.0001,\n", " 0.0003,\n", " None),\n", " 'Steel water conduits in generating stations, Used, clean, moderate corrosion or slight deposits': (0.0003,\n", " 0.0007,\n", " None),\n", " 'Steel water conduits in generating stations, Used, clean, severe corrosion': (0.0008,\n", " 0.0015,\n", " None),\n", " 'Steel water conduits in generating stations, Used, clean, previously cleaned of either deposits or rust': (0.00015,\n", " 0.0002,\n", " None),\n", " 'Used steel water conduits in generating stations, Used, all welded, <2 years use, no deposits': (0.00012,\n", " 0.00024,\n", " None),\n", " 'Used steel water conduits in generating stations, Used, all welded, <20 years use, no deposits': (0.0006,\n", " 0.005,\n", " None),\n", " 'Used steel water conduits in generating stations, Used, iron-bacterial corrosion': (0.003,\n", " 0.004,\n", " None),\n", " 'Used steel water conduits in generating stations, Used, heavy corrosion, or with incrustation (deposit 1.5 - 9 mm deep)': (0.003,\n", " 0.005,\n", " None),\n", " 'Used steel water conduits in generating stations, Used, heavy corrosion, or with incrustation (deposit 3 - 25 mm deep)': (0.006,\n", " 0.0065,\n", " None),\n", " 'Used steel water conduits in generating stations, Used, inside coating, bituminized, < 2 years use': (0.0001,\n", " 0.00035,\n", " None)}" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from fluids.friction import HHR_roughness\n", "HHR_roughness" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.5" } }, "nbformat": 4, "nbformat_minor": 1 } fluids-1.0.22/docs/Data/Sieve Sizes for Particle Size Distributions.ipynb0000644000175000017500000032254114302004506025417 0ustar nileshnilesh{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Sieve Sizes for Particle Size Distributions" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from fluids.particle_size_distribution import ASTM_E11_sieves, ISO_3310_1_sieves, Sieve\n", "import pandas as pd\n", "pd.options.display.max_rows = 100000" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "## ASTM E11 - 17 - Standard Specification for Woven Wire Test Sieve Cloth and Test Sieves." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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designationold_designationopeningopening_inchY_variation_avgX_variation_maxmax_openingcalibration_samplescompliance_sdinspection_samplesinspection_sdcalibration_sdd_wired_wire_mind_wire_maxcompliance_samples
00.02No. 6350.0000208.000000e-070.0000020.0000150.035300.05.330100.04.5104.7502.000000e-082.000000e-082.000000e-081000.0
10.025No. 5000.0000251.000000e-060.0000030.0000160.041300.05.710100.04.8205.0603.000000e-082.000000e-083.000000e-081000.0
20.032No. 4500.0000321.200000e-060.0000030.0000180.050300.06.420100.05.4205.7103.000000e-082.000000e-083.000000e-081000.0
30.038No. 4000.0000381.500000e-060.0000030.0000200.058300.07.090100.05.9906.3103.000000e-082.000000e-083.000000e-081000.0
40.045No. 3250.0000451.700000e-060.0000030.0000220.067250.07.760100.06.5606.8403.000000e-083.000000e-084.000000e-081000.0
50.053No. 2700.0000532.100000e-060.0000030.0000240.077250.08.440100.07.1307.4404.000000e-083.000000e-084.000000e-081000.0
60.063No. 2300.0000632.500000e-060.0000040.0000260.089250.09.180100.07.7608.0905.000000e-084.000000e-085.000000e-081000.0
70.075No. 2000.0000752.900000e-060.0000040.0000290.104250.010.230100.08.6409.0205.000000e-084.000000e-086.000000e-081000.0
80.09No. 1700.0000903.500000e-060.0000050.0000320.122200.011.270100.09.5309.8006.000000e-085.000000e-087.000000e-081000.0
90.106No. 1400.0001064.100000e-060.0000050.0000350.141200.012.390100.010.47010.7707.000000e-086.000000e-088.000000e-081000.0
100.125No. 1200.0001254.900000e-060.0000060.0000380.163200.013.510100.011.41011.7409.000000e-088.000000e-081.000000e-071000.0
110.15No. 1000.0001505.900000e-060.0000070.0000430.193200.015.300100.012.93013.3001.000000e-079.000000e-081.200000e-071000.0
120.18No. 800.0001807.000000e-060.0000080.0000470.227200.016.850100.014.24014.6501.200000e-071.100000e-071.500000e-071000.0
130.212No. 700.0002128.300000e-060.0000090.0000520.264160.018.79080.015.59016.0801.400000e-071.200000e-071.700000e-07800.0
140.25No. 600.0002509.800000e-060.0000100.0000580.308160.021.02080.017.44017.9901.600000e-071.300000e-071.900000e-07800.0
150.3No. 500.0003001.170000e-050.0000120.0000650.365160.023.70080.019.66020.2902.000000e-071.700000e-072.300000e-07800.0
160.355No. 450.0003551.390000e-050.0000130.0000720.427160.026.45080.021.95022.6402.200000e-071.900000e-072.600000e-07800.0
170.425No. 400.0004251.650000e-050.0000160.0000810.506120.029.95060.024.20025.0802.800000e-072.400000e-073.200000e-07600.0
180.5No. 350.0005001.970000e-050.0000180.0000890.589120.033.23060.026.85027.8203.200000e-072.700000e-073.600000e-07600.0
190.6No. 300.0006002.340000e-050.0000210.0001010.701100.038.00050.030.14031.3204.000000e-073.400000e-074.600000e-07500.0
200.71No. 250.0007102.780000e-050.0000250.0001120.822100.042.63050.033.82035.1404.500000e-073.800000e-075.200000e-07500.0
210.85No. 200.0008503.310000e-050.0000290.0001270.97780.048.76040.037.73039.3605.000000e-074.300000e-075.800000e-07400.0
221No. 180.0010003.940000e-050.0000340.0001401.14080.00.05540.00.0420.0445.600000e-044.800000e-046.400000e-04400.0
231.18No. 160.0011804.690000e-050.0000400.0001601.34080.00.06340.00.0490.0516.300000e-045.400000e-047.200000e-04400.0
241.4No. 140.0014005.550000e-050.0000460.0001801.58080.00.07140.00.0550.0577.100000e-046.000000e-048.200000e-04400.0
251.7No. 120.0017006.610000e-050.0000560.0002001.90050.00.08125.00.0590.0628.000000e-046.800000e-049.200000e-04250.0
261004 in.0.1000004.000000e-030.0029400.003820103.820NaNNaNNaNNaNNaN6.300000e-035.400000e-037.200000e-0320.0
271064.24 in.0.1060004.240000e-030.0031200.003990109.990NaNNaNNaNNaNNaN6.300000e-035.400000e-037.200000e-0320.0
2811.27/16 in.0.0112004.380000e-040.0003460.00077011.97030.00.38215.00.2560.2742.500000e-032.100000e-032.900000e-03150.0
2912.51/2 in.0.0125005.000000e-040.0003850.00083013.33030.00.42115.00.2830.3022.500000e-032.100000e-032.900000e-03150.0
301255 in.0.1250005.000000e-030.0036600.004510129.510NaNNaNNaNNaNNaN8.000000e-036.800000e-039.200000e-0320.0
3113.20.530 in.0.0132005.300000e-040.0004060.00086014.06030.00.44115.00.2960.3162.800000e-032.400000e-033.200000e-03150.0
32165/8 in.0.0160006.250000e-040.0004900.00099016.99030.00.52715.00.3540.3783.150000e-032.700000e-033.600000e-03150.0
33193/4 in.0.0190007.500000e-040.0005790.00113020.13030.00.62215.00.4180.4463.150000e-032.700000e-033.500000e-03150.0
342No. 100.0020007.870000e-050.0000650.0002302.23050.00.09425.00.0680.0729.000000e-047.700000e-041.040000e-03250.0
352.36No. 80.0023609.370000e-050.0000760.0002502.61040.00.10420.00.0730.0771.000000e-038.500000e-041.150000e-03200.0
362.8No. 70.0028001.100000e-040.0000900.0002903.09040.00.12120.00.0850.0901.120000e-039.500000e-041.300000e-03200.0
3722.47/8 in.0.0224008.750000e-040.0006810.00127023.670NaN0.73415.00.493NaN3.550000e-033.000000e-034.100000e-03150.0
38251.00 in.0.0250001.000000e-030.0007580.00138026.380NaN0.82315.00.553NaN3.550000e-033.000000e-034.100000e-0320.0
3926.51.06 in.0.0265001.060000e-030.0008020.00144027.940NaN0.86915.00.584NaN3.550000e-033.000000e-034.100000e-0320.0
403.35No. 60.0033501.320000e-040.0001070.0003203.67040.00.13820.00.0970.1031.250000e-031.060000e-031.500000e-03200.0
4131.51 1/4 in.0.0315001.250000e-030.0009500.00163033.130NaN1.066NaNNaNNaN4.000000e-033.400000e-034.600000e-0320.0
4237.51 1/2 in.0.0375001.500000e-030.0011300.00185039.350NaN1.374NaNNaNNaN4.500000e-033.800000e-035.200000e-0320.0
434No. 50.0040001.570000e-040.0001270.0003704.37030.00.16115.00.1080.1151.400000e-031.200000e-031.700000e-03150.0
444.75No. 40.0047501.870000e-040.0001500.0004105.16030.00.18215.00.1230.1311.600000e-031.300000e-031.900000e-03150.0
45451 3/4 in.0.0450001.750000e-030.0013500.00212047.120NaNNaNNaNNaNNaN4.500000e-033.800000e-035.200000e-0320.0
465.6No. 3 1/20.0056002.230000e-040.0001760.0004706.07030.00.21115.00.1420.1511.600000e-031.300000e-031.900000e-03150.0
47502 in.0.0500002.000000e-030.0014900.00229052.290NaNNaNNaNNaNNaN5.000000e-034.300000e-035.800000e-0320.0
48532.12 in.0.0530002.120000e-030.0015800.00239055.390NaNNaNNaNNaNNaN5.000000e-034.300000e-035.800000e-0320.0
496.31/4 in.0.0063002.500000e-040.0001970.0005106.81030.00.23315.00.1570.1671.800000e-031.500000e-032.100000e-03150.0
506.70.265 in.0.0067002.650000e-040.0002100.0005307.23030.00.24515.00.1640.1751.800000e-031.500000e-032.100000e-03150.0
51632 1/2 in.0.0630002.500000e-030.0018700.00271065.710NaNNaNNaNNaNNaN5.600000e-034.800000e-036.400000e-0320.0
52753 in.0.0750003.000000e-030.0022200.00309078.090NaNNaNNaNNaNNaN6.300000e-035.400000e-037.200000e-0320.0
5385/16 in.0.0080003.120000e-040.0002490.0006008.60030.00.28415.00.1910.2042.000000e-031.700000e-032.300000e-03150.0
549.53/8 in.0.0095003.750000e-040.0002950.00068010.18030.00.33015.00.2220.2372.240000e-031.900000e-032.600000e-03150.0
55903 1/2 in.0.0900003.500000e-030.0026500.00353093.530NaNNaNNaNNaNNaN6.300000e-035.400000e-037.200000e-0320.0
\n", "
" ], "text/plain": [ " designation old_designation opening opening_inch Y_variation_avg \\\n", "0 0.02 No. 635 0.000020 8.000000e-07 0.000002 \n", "1 0.025 No. 500 0.000025 1.000000e-06 0.000003 \n", "2 0.032 No. 450 0.000032 1.200000e-06 0.000003 \n", "3 0.038 No. 400 0.000038 1.500000e-06 0.000003 \n", "4 0.045 No. 325 0.000045 1.700000e-06 0.000003 \n", "5 0.053 No. 270 0.000053 2.100000e-06 0.000003 \n", "6 0.063 No. 230 0.000063 2.500000e-06 0.000004 \n", "7 0.075 No. 200 0.000075 2.900000e-06 0.000004 \n", "8 0.09 No. 170 0.000090 3.500000e-06 0.000005 \n", "9 0.106 No. 140 0.000106 4.100000e-06 0.000005 \n", "10 0.125 No. 120 0.000125 4.900000e-06 0.000006 \n", "11 0.15 No. 100 0.000150 5.900000e-06 0.000007 \n", "12 0.18 No. 80 0.000180 7.000000e-06 0.000008 \n", "13 0.212 No. 70 0.000212 8.300000e-06 0.000009 \n", "14 0.25 No. 60 0.000250 9.800000e-06 0.000010 \n", "15 0.3 No. 50 0.000300 1.170000e-05 0.000012 \n", "16 0.355 No. 45 0.000355 1.390000e-05 0.000013 \n", "17 0.425 No. 40 0.000425 1.650000e-05 0.000016 \n", "18 0.5 No. 35 0.000500 1.970000e-05 0.000018 \n", "19 0.6 No. 30 0.000600 2.340000e-05 0.000021 \n", "20 0.71 No. 25 0.000710 2.780000e-05 0.000025 \n", "21 0.85 No. 20 0.000850 3.310000e-05 0.000029 \n", "22 1 No. 18 0.001000 3.940000e-05 0.000034 \n", "23 1.18 No. 16 0.001180 4.690000e-05 0.000040 \n", "24 1.4 No. 14 0.001400 5.550000e-05 0.000046 \n", "25 1.7 No. 12 0.001700 6.610000e-05 0.000056 \n", "26 100 4 in. 0.100000 4.000000e-03 0.002940 \n", "27 106 4.24 in. 0.106000 4.240000e-03 0.003120 \n", "28 11.2 7/16 in. 0.011200 4.380000e-04 0.000346 \n", "29 12.5 1/2 in. 0.012500 5.000000e-04 0.000385 \n", "30 125 5 in. 0.125000 5.000000e-03 0.003660 \n", "31 13.2 0.530 in. 0.013200 5.300000e-04 0.000406 \n", "32 16 5/8 in. 0.016000 6.250000e-04 0.000490 \n", "33 19 3/4 in. 0.019000 7.500000e-04 0.000579 \n", "34 2 No. 10 0.002000 7.870000e-05 0.000065 \n", "35 2.36 No. 8 0.002360 9.370000e-05 0.000076 \n", "36 2.8 No. 7 0.002800 1.100000e-04 0.000090 \n", "37 22.4 7/8 in. 0.022400 8.750000e-04 0.000681 \n", "38 25 1.00 in. 0.025000 1.000000e-03 0.000758 \n", "39 26.5 1.06 in. 0.026500 1.060000e-03 0.000802 \n", "40 3.35 No. 6 0.003350 1.320000e-04 0.000107 \n", "41 31.5 1 1/4 in. 0.031500 1.250000e-03 0.000950 \n", "42 37.5 1 1/2 in. 0.037500 1.500000e-03 0.001130 \n", "43 4 No. 5 0.004000 1.570000e-04 0.000127 \n", "44 4.75 No. 4 0.004750 1.870000e-04 0.000150 \n", "45 45 1 3/4 in. 0.045000 1.750000e-03 0.001350 \n", "46 5.6 No. 3 1/2 0.005600 2.230000e-04 0.000176 \n", "47 50 2 in. 0.050000 2.000000e-03 0.001490 \n", "48 53 2.12 in. 0.053000 2.120000e-03 0.001580 \n", "49 6.3 1/4 in. 0.006300 2.500000e-04 0.000197 \n", "50 6.7 0.265 in. 0.006700 2.650000e-04 0.000210 \n", "51 63 2 1/2 in. 0.063000 2.500000e-03 0.001870 \n", "52 75 3 in. 0.075000 3.000000e-03 0.002220 \n", "53 8 5/16 in. 0.008000 3.120000e-04 0.000249 \n", "54 9.5 3/8 in. 0.009500 3.750000e-04 0.000295 \n", "55 90 3 1/2 in. 0.090000 3.500000e-03 0.002650 \n", "\n", " X_variation_max max_opening calibration_samples compliance_sd \\\n", "0 0.000015 0.035 300.0 5.330 \n", "1 0.000016 0.041 300.0 5.710 \n", "2 0.000018 0.050 300.0 6.420 \n", "3 0.000020 0.058 300.0 7.090 \n", "4 0.000022 0.067 250.0 7.760 \n", "5 0.000024 0.077 250.0 8.440 \n", "6 0.000026 0.089 250.0 9.180 \n", "7 0.000029 0.104 250.0 10.230 \n", "8 0.000032 0.122 200.0 11.270 \n", "9 0.000035 0.141 200.0 12.390 \n", "10 0.000038 0.163 200.0 13.510 \n", "11 0.000043 0.193 200.0 15.300 \n", "12 0.000047 0.227 200.0 16.850 \n", "13 0.000052 0.264 160.0 18.790 \n", "14 0.000058 0.308 160.0 21.020 \n", "15 0.000065 0.365 160.0 23.700 \n", "16 0.000072 0.427 160.0 26.450 \n", "17 0.000081 0.506 120.0 29.950 \n", "18 0.000089 0.589 120.0 33.230 \n", "19 0.000101 0.701 100.0 38.000 \n", "20 0.000112 0.822 100.0 42.630 \n", "21 0.000127 0.977 80.0 48.760 \n", "22 0.000140 1.140 80.0 0.055 \n", "23 0.000160 1.340 80.0 0.063 \n", "24 0.000180 1.580 80.0 0.071 \n", "25 0.000200 1.900 50.0 0.081 \n", "26 0.003820 103.820 NaN NaN \n", "27 0.003990 109.990 NaN NaN \n", "28 0.000770 11.970 30.0 0.382 \n", "29 0.000830 13.330 30.0 0.421 \n", "30 0.004510 129.510 NaN NaN \n", "31 0.000860 14.060 30.0 0.441 \n", "32 0.000990 16.990 30.0 0.527 \n", "33 0.001130 20.130 30.0 0.622 \n", "34 0.000230 2.230 50.0 0.094 \n", "35 0.000250 2.610 40.0 0.104 \n", "36 0.000290 3.090 40.0 0.121 \n", "37 0.001270 23.670 NaN 0.734 \n", "38 0.001380 26.380 NaN 0.823 \n", "39 0.001440 27.940 NaN 0.869 \n", "40 0.000320 3.670 40.0 0.138 \n", "41 0.001630 33.130 NaN 1.066 \n", "42 0.001850 39.350 NaN 1.374 \n", "43 0.000370 4.370 30.0 0.161 \n", "44 0.000410 5.160 30.0 0.182 \n", "45 0.002120 47.120 NaN NaN \n", "46 0.000470 6.070 30.0 0.211 \n", "47 0.002290 52.290 NaN NaN \n", "48 0.002390 55.390 NaN NaN \n", "49 0.000510 6.810 30.0 0.233 \n", "50 0.000530 7.230 30.0 0.245 \n", "51 0.002710 65.710 NaN NaN \n", "52 0.003090 78.090 NaN NaN \n", "53 0.000600 8.600 30.0 0.284 \n", "54 0.000680 10.180 30.0 0.330 \n", "55 0.003530 93.530 NaN NaN \n", "\n", " inspection_samples inspection_sd calibration_sd d_wire \\\n", "0 100.0 4.510 4.750 2.000000e-08 \n", "1 100.0 4.820 5.060 3.000000e-08 \n", "2 100.0 5.420 5.710 3.000000e-08 \n", "3 100.0 5.990 6.310 3.000000e-08 \n", "4 100.0 6.560 6.840 3.000000e-08 \n", "5 100.0 7.130 7.440 4.000000e-08 \n", "6 100.0 7.760 8.090 5.000000e-08 \n", "7 100.0 8.640 9.020 5.000000e-08 \n", "8 100.0 9.530 9.800 6.000000e-08 \n", "9 100.0 10.470 10.770 7.000000e-08 \n", "10 100.0 11.410 11.740 9.000000e-08 \n", "11 100.0 12.930 13.300 1.000000e-07 \n", "12 100.0 14.240 14.650 1.200000e-07 \n", "13 80.0 15.590 16.080 1.400000e-07 \n", "14 80.0 17.440 17.990 1.600000e-07 \n", "15 80.0 19.660 20.290 2.000000e-07 \n", "16 80.0 21.950 22.640 2.200000e-07 \n", "17 60.0 24.200 25.080 2.800000e-07 \n", "18 60.0 26.850 27.820 3.200000e-07 \n", "19 50.0 30.140 31.320 4.000000e-07 \n", "20 50.0 33.820 35.140 4.500000e-07 \n", "21 40.0 37.730 39.360 5.000000e-07 \n", "22 40.0 0.042 0.044 5.600000e-04 \n", "23 40.0 0.049 0.051 6.300000e-04 \n", "24 40.0 0.055 0.057 7.100000e-04 \n", "25 25.0 0.059 0.062 8.000000e-04 \n", "26 NaN NaN NaN 6.300000e-03 \n", "27 NaN NaN NaN 6.300000e-03 \n", "28 15.0 0.256 0.274 2.500000e-03 \n", "29 15.0 0.283 0.302 2.500000e-03 \n", "30 NaN NaN NaN 8.000000e-03 \n", "31 15.0 0.296 0.316 2.800000e-03 \n", "32 15.0 0.354 0.378 3.150000e-03 \n", "33 15.0 0.418 0.446 3.150000e-03 \n", "34 25.0 0.068 0.072 9.000000e-04 \n", "35 20.0 0.073 0.077 1.000000e-03 \n", "36 20.0 0.085 0.090 1.120000e-03 \n", "37 15.0 0.493 NaN 3.550000e-03 \n", "38 15.0 0.553 NaN 3.550000e-03 \n", "39 15.0 0.584 NaN 3.550000e-03 \n", "40 20.0 0.097 0.103 1.250000e-03 \n", "41 NaN NaN NaN 4.000000e-03 \n", "42 NaN NaN NaN 4.500000e-03 \n", "43 15.0 0.108 0.115 1.400000e-03 \n", "44 15.0 0.123 0.131 1.600000e-03 \n", "45 NaN NaN NaN 4.500000e-03 \n", "46 15.0 0.142 0.151 1.600000e-03 \n", "47 NaN NaN NaN 5.000000e-03 \n", "48 NaN NaN NaN 5.000000e-03 \n", "49 15.0 0.157 0.167 1.800000e-03 \n", "50 15.0 0.164 0.175 1.800000e-03 \n", "51 NaN NaN NaN 5.600000e-03 \n", "52 NaN NaN NaN 6.300000e-03 \n", "53 15.0 0.191 0.204 2.000000e-03 \n", "54 15.0 0.222 0.237 2.240000e-03 \n", "55 NaN NaN NaN 6.300000e-03 \n", "\n", " d_wire_min d_wire_max compliance_samples \n", "0 2.000000e-08 2.000000e-08 1000.0 \n", "1 2.000000e-08 3.000000e-08 1000.0 \n", "2 2.000000e-08 3.000000e-08 1000.0 \n", "3 2.000000e-08 3.000000e-08 1000.0 \n", "4 3.000000e-08 4.000000e-08 1000.0 \n", "5 3.000000e-08 4.000000e-08 1000.0 \n", "6 4.000000e-08 5.000000e-08 1000.0 \n", "7 4.000000e-08 6.000000e-08 1000.0 \n", "8 5.000000e-08 7.000000e-08 1000.0 \n", "9 6.000000e-08 8.000000e-08 1000.0 \n", "10 8.000000e-08 1.000000e-07 1000.0 \n", "11 9.000000e-08 1.200000e-07 1000.0 \n", "12 1.100000e-07 1.500000e-07 1000.0 \n", "13 1.200000e-07 1.700000e-07 800.0 \n", "14 1.300000e-07 1.900000e-07 800.0 \n", "15 1.700000e-07 2.300000e-07 800.0 \n", "16 1.900000e-07 2.600000e-07 800.0 \n", "17 2.400000e-07 3.200000e-07 600.0 \n", "18 2.700000e-07 3.600000e-07 600.0 \n", "19 3.400000e-07 4.600000e-07 500.0 \n", "20 3.800000e-07 5.200000e-07 500.0 \n", "21 4.300000e-07 5.800000e-07 400.0 \n", "22 4.800000e-04 6.400000e-04 400.0 \n", "23 5.400000e-04 7.200000e-04 400.0 \n", "24 6.000000e-04 8.200000e-04 400.0 \n", "25 6.800000e-04 9.200000e-04 250.0 \n", "26 5.400000e-03 7.200000e-03 20.0 \n", "27 5.400000e-03 7.200000e-03 20.0 \n", "28 2.100000e-03 2.900000e-03 150.0 \n", "29 2.100000e-03 2.900000e-03 150.0 \n", "30 6.800000e-03 9.200000e-03 20.0 \n", "31 2.400000e-03 3.200000e-03 150.0 \n", "32 2.700000e-03 3.600000e-03 150.0 \n", "33 2.700000e-03 3.500000e-03 150.0 \n", "34 7.700000e-04 1.040000e-03 250.0 \n", "35 8.500000e-04 1.150000e-03 200.0 \n", "36 9.500000e-04 1.300000e-03 200.0 \n", "37 3.000000e-03 4.100000e-03 150.0 \n", "38 3.000000e-03 4.100000e-03 20.0 \n", "39 3.000000e-03 4.100000e-03 20.0 \n", "40 1.060000e-03 1.500000e-03 200.0 \n", "41 3.400000e-03 4.600000e-03 20.0 \n", "42 3.800000e-03 5.200000e-03 20.0 \n", "43 1.200000e-03 1.700000e-03 150.0 \n", "44 1.300000e-03 1.900000e-03 150.0 \n", "45 3.800000e-03 5.200000e-03 20.0 \n", "46 1.300000e-03 1.900000e-03 150.0 \n", "47 4.300000e-03 5.800000e-03 20.0 \n", "48 4.300000e-03 5.800000e-03 20.0 \n", "49 1.500000e-03 2.100000e-03 150.0 \n", "50 1.500000e-03 2.100000e-03 150.0 \n", "51 4.800000e-03 6.400000e-03 20.0 \n", "52 5.400000e-03 7.200000e-03 20.0 \n", "53 1.700000e-03 2.300000e-03 150.0 \n", "54 1.900000e-03 2.600000e-03 150.0 \n", "55 5.400000e-03 7.200000e-03 20.0 " ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# All units in SI, meters.\n", "dat = {}\n", "for name in Sieve.__slots__:\n", " vals = []\n", " for s in ASTM_E11_sieves.values():\n", " vals.append(getattr(s, name))\n", " dat[name] = vals\n", "pd.DataFrame(dat)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## ISO 3310-1:2016 - Test Sieves -- Technical Requirements and Testing -- Part 1: Test Sieves of Metal Wire Cloth.\n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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designationopeningY_variation_avgX_variation_maxcompliance_sdd_wired_wire_mind_wire_max
00.020.0000200.0000020.0000130.0000050.0000200.0000230.000023
10.0250.0000250.0000020.0000150.0000050.0000250.0000290.000029
20.0320.0000320.0000020.0000170.0000060.0000280.0000330.000033
30.0360.0000360.0000030.0000180.0000060.0000300.0000350.000035
40.0380.0000380.0000030.0000180.0000060.0000300.0000350.000035
50.040.0000400.0000030.0000190.0000060.0000320.0000370.000037
60.0450.0000450.0000030.0000200.0000070.0000320.0000370.000037
70.050.0000500.0000030.0000210.0000070.0000360.0000410.000041
80.0530.0000530.0000030.0000210.0000080.0000360.0000410.000041
90.0560.0000560.0000030.0000220.0000080.0000400.0000460.000046
100.0630.0000630.0000030.0000240.0000080.0000450.0000520.000052
110.0710.0000710.0000040.0000250.0000090.0000500.0000430.000058
120.0750.0000750.0000040.0000260.0000090.0000500.0000430.000058
130.080.0000800.0000040.0000270.0000090.0000560.0000480.000064
140.090.0000900.0000040.0000290.0000100.0000630.0000540.000072
150.10.0001000.0000050.0000300.0000110.0000710.0000600.000082
160.1060.0001060.0000050.0000310.0000110.0000710.0000600.000082
170.1120.0001120.0000050.0000320.0000120.0000800.0000680.000092
180.1250.0001250.0000050.0000340.0000120.0000900.0000770.000104
190.140.0001400.0000060.0000370.0000130.0001000.0000850.000115
200.150.0001500.0000060.0000380.0000140.0001000.0000850.000115
210.160.0001600.0000060.0000400.0000140.0001120.0000950.000130
220.180.0001800.0000070.0000430.0000150.0001250.0001060.000150
230.20.0002000.0000070.0000450.0000160.0001400.0001200.000170
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0.000200 0.000170 0.000230 \n", "30 0.000224 0.000190 0.000260 \n", "31 0.000250 0.000210 0.000290 \n", "32 0.000280 0.000240 0.000320 \n", "33 0.000280 0.000240 0.000320 \n", "34 0.000315 0.000270 0.000360 \n", "35 0.000355 0.000300 0.000410 \n", "36 0.000400 0.000340 0.000460 \n", "37 0.000400 0.000340 0.000460 \n", "38 0.000450 0.000380 0.000520 \n", "39 0.000450 0.000380 0.000520 \n", "40 0.000500 0.000430 0.000580 \n", "41 0.000500 0.000430 0.000580 \n", "42 0.000560 0.000480 0.000640 \n", "43 0.000560 0.000480 0.000640 \n", "44 0.000630 0.000540 0.000720 \n", "45 0.000630 0.000540 0.000720 \n", "46 0.000710 0.000600 0.000820 \n", "47 0.000800 0.000680 0.000920 \n", "48 0.000800 0.000680 0.000920 \n", "49 0.000800 0.000680 0.000920 \n", "50 0.002500 0.002100 0.002900 \n", "51 0.006300 0.005400 0.007200 \n", "52 0.006300 0.005400 0.007200 \n", "53 0.002500 0.002100 0.002900 \n", "54 0.008000 0.006800 0.009200 \n", "55 0.002500 0.002100 0.002900 \n", "56 0.008000 0.006800 0.009200 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0.001900 \n", "85 0.005000 0.004300 0.005800 \n", "86 0.005000 0.004300 0.005800 \n", "87 0.005000 0.004300 0.005800 \n", "88 0.001800 0.001500 0.002100 \n", "89 0.001800 0.001500 0.002100 \n", "90 0.005600 0.004800 0.006400 \n", "91 0.001800 0.001500 0.002100 \n", "92 0.005600 0.004800 0.006400 \n", "93 0.006300 0.005400 0.007200 \n", "94 0.002000 0.001700 0.002300 \n", "95 0.006300 0.005400 0.007200 \n", "96 0.002240 0.001900 0.002600 \n", "97 0.002240 0.001900 0.002600 \n", "98 0.006300 0.005400 0.007200 " ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# All units in SI, meters.\n", "dat = {}\n", "for name in Sieve.__slots__:\n", " vals = []\n", " for s in ISO_3310_1_sieves.values():\n", " vals.append(getattr(s, name))\n", " dat[name] = vals\n", "pd.DataFrame(dat).dropna(how='all', axis=1)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.5" } }, "nbformat": 4, "nbformat_minor": 1 } fluids-1.0.22/docs/Data/Pipe Schedules.ipynb0000644000175000017500000171524214302004506020057 0ustar nileshnilesh{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Pipe Schedules" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from IPython.display import display, Markdown\n", "import pandas as pd\n", "from fluids.piping import schedule_lookup\n", "dat = schedule_lookup['40']" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/markdown": [ "## Schedule 40" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
00.1256.8410.31.73
10.2509.2213.72.24
20.37512.4817.12.31
30.50015.7621.32.77
40.75020.9626.72.87
51.00026.6433.43.38
61.25035.0842.23.56
71.50040.9448.33.68
82.00052.4860.33.91
92.50062.6873.05.16
103.00077.9288.95.49
113.50090.12101.65.74
124.000102.26114.36.02
135.000128.20141.36.55
146.000154.08168.37.11
158.000202.74219.18.18
1610.000254.46273.09.27
1712.000303.18323.810.31
1814.000333.34355.611.13
1916.000381.00406.412.70
2018.000428.46457.014.27
2120.000477.82508.015.09
2224.000575.04610.017.48
2332.000778.04813.017.48
2434.000829.04864.017.48
2536.000875.90914.019.05
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
00.5018.0021.31.65
10.7523.4026.71.65
21.0030.1033.41.65
31.2538.9042.21.65
41.5045.0048.31.65
52.0057.0060.31.65
62.5068.7873.02.11
73.0084.6888.92.11
83.5097.38101.62.11
94.00110.08114.32.11
105.00135.76141.32.77
116.00162.76168.32.77
128.00213.56219.12.77
1310.00266.20273.03.40
1412.00315.88323.83.96
1514.00347.68355.63.96
1616.00398.02406.44.19
1718.00448.62457.04.19
1820.00498.44508.04.78
1922.00549.44559.04.78
2024.00598.92610.05.54
2130.00749.30762.06.35
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
00.1257.8210.31.24
10.25010.4013.71.65
20.37513.8017.11.65
30.50017.0821.32.11
40.75022.4826.72.11
51.00027.8633.42.77
61.25036.6642.22.77
71.50042.7648.32.77
82.00054.7660.32.77
92.50066.9073.03.05
103.00082.8088.93.05
113.50095.50101.63.05
124.000108.20114.33.05
135.000134.50141.33.40
146.000161.50168.33.40
158.000211.58219.13.76
1610.000264.62273.04.19
1712.000314.66323.84.57
1814.000342.90355.66.35
1916.000393.70406.46.35
2018.000444.30457.06.35
2120.000495.30508.06.35
2222.000546.30559.06.35
2324.000597.30610.06.35
2426.000644.16660.07.92
2528.000695.16711.07.92
2630.000746.16762.07.92
2732.000797.16813.07.92
2834.000848.16864.07.92
2936.000898.16914.07.92
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
08206.40219.16.35
110260.30273.06.35
212311.10323.86.35
314339.76355.67.92
416390.56406.47.92
518441.16457.07.92
620488.94508.09.53
722539.94559.09.53
824590.94610.09.53
926634.60660.012.70
1028685.60711.012.70
1130736.60762.012.70
1232787.60813.012.70
1334838.60864.012.70
1436888.60914.012.70
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
00.1257.4010.31.45
10.25010.0013.71.85
20.37513.4017.11.85
30.50016.4821.32.41
40.75021.8826.72.41
51.00027.6033.42.90
61.25036.2642.22.97
71.50041.9448.33.18
82.00053.9460.33.18
92.50063.4473.04.78
103.00079.3488.94.78
113.50092.04101.64.78
124.000104.74114.34.78
138.000205.02219.17.04
1410.000257.40273.07.80
1512.000307.04323.88.38
1614.000336.54355.69.53
1716.000387.34406.49.53
1818.000434.74457.011.13
1920.000482.60508.012.70
2022.000533.60559.012.70
2124.000581.46610.014.27
2228.000679.24711.015.88
2330.000730.24762.015.88
2432.000781.24813.015.88
2534.000832.24864.015.88
2636.000882.24914.015.88
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
08198.48219.110.31
110247.60273.012.70
212295.26323.814.27
314325.42355.615.09
416373.08406.416.66
518418.90457.019.05
620466.76508.020.62
722514.54559.022.23
824560.78610.024.61
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
00.1255.4810.32.41
10.2507.6613.73.02
20.37510.7017.13.20
30.50013.8421.33.73
40.75018.8826.73.91
51.00024.3033.44.55
61.25032.5042.24.85
71.50038.1448.35.08
82.00049.2260.35.54
92.50058.9873.07.01
103.00073.6688.97.62
113.50085.44101.68.08
124.00097.18114.38.56
135.000122.24141.39.53
146.000146.36168.310.97
158.000193.70219.112.70
1610.000242.82273.015.09
1712.000288.84323.817.48
1814.000317.50355.619.05
1916.000363.52406.421.44
2018.000409.34457.023.83
2120.000455.62508.026.19
2222.000501.84559.028.58
2324.000548.08610.030.96
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
08188.92219.115.09
110236.48273.018.26
212280.92323.821.44
314307.94355.623.83
416354.02406.426.19
518398.28457.029.36
620442.92508.032.54
722489.14559.034.93
824532.22610.038.89
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
0492.04114.311.13
15115.90141.312.70
26139.76168.314.27
38182.58219.118.26
410230.12273.021.44
512273.00323.825.40
614300.02355.627.79
716344.48406.430.96
818387.14457.034.93
920431.80508.038.10
1022476.44559.041.28
1124517.96610.046.02
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
08177.86219.120.62
110222.20273.025.40
212266.64323.828.58
314292.10355.631.75
416333.34406.436.53
518377.66457.039.67
620419.10508.044.45
722463.74559.047.63
824505.26610.052.37
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
00.5011.7421.34.78
10.7515.5826.75.56
21.0020.7033.46.35
31.2529.5042.26.35
41.5034.0248.37.14
52.0042.8260.38.74
62.5053.9473.09.53
73.0066.6488.911.13
84.0087.32114.313.49
95.00109.54141.315.88
106.00131.78168.318.26
118.00173.08219.123.01
1210.00215.84273.028.58
1312.00257.16323.833.32
1414.00284.18355.635.71
1516.00325.42406.440.49
1618.00366.52457.045.24
1720.00407.98508.050.01
1822.00451.04559.053.98
1924.00490.92610.059.54
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
00.1256.8410.31.73
10.2509.2213.72.24
20.37512.4817.12.31
30.50015.7621.32.77
40.75020.9626.72.87
51.00026.6433.43.38
61.25035.0842.23.56
71.50040.9448.33.68
82.00052.4860.33.91
92.50062.6873.05.16
103.00077.9288.95.49
113.50090.12101.65.74
124.000102.26114.36.02
135.000128.20141.36.55
146.000154.08168.37.11
158.000202.74219.18.18
1610.000254.46273.09.27
1712.000304.74323.89.53
1814.000336.54355.69.53
1916.000387.34406.49.53
2018.000437.94457.09.53
2120.000488.94508.09.53
2222.000539.94559.09.53
2324.000590.94610.09.53
2426.000640.94660.09.53
2528.000691.94711.09.53
2630.000742.94762.09.53
2732.000793.94813.09.53
2834.000844.94864.09.53
2936.000894.94914.09.53
3038.000945.94965.09.53
3140.000996.941016.09.53
3242.0001047.941067.09.53
3344.0001098.941118.09.53
3446.0001148.941168.09.53
3548.0001199.941219.09.53
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
00.1255.4810.32.41
10.2507.6613.73.02
20.37510.7017.13.20
30.50013.8421.33.73
40.75018.8826.73.91
51.00024.3033.44.55
61.25032.5042.24.85
71.50038.1448.35.08
82.00049.2260.35.54
92.50058.9873.07.01
103.00073.6688.97.62
113.50085.44101.68.08
124.00097.18114.38.56
135.000122.24141.39.53
146.000146.36168.310.97
158.000193.70219.112.70
1610.000247.60273.012.70
1712.000298.40323.812.70
1814.000330.20355.612.70
1916.000381.00406.412.70
2018.000431.60457.012.70
2120.000482.60508.012.70
2222.000533.60559.012.70
2324.000584.60610.012.70
2426.000634.60660.012.70
2528.000685.60711.012.70
2630.000736.60762.012.70
2732.000787.60813.012.70
2834.000838.60864.012.70
2936.000888.60914.012.70
3038.000939.60965.012.70
3140.000990.601016.012.70
3242.0001041.601067.012.70
3344.0001092.601118.012.70
3446.0001142.601168.012.70
3548.0001193.601219.012.70
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" ], "text/plain": [ " NPS, dimensionless Inner diameter, mm Outer diameter, mm Thickness, mm\n", "0 0.125 5.48 10.3 2.41\n", "1 0.250 7.66 13.7 3.02\n", "2 0.375 10.70 17.1 3.20\n", "3 0.500 13.84 21.3 3.73\n", "4 0.750 18.88 26.7 3.91\n", "5 1.000 24.30 33.4 4.55\n", "6 1.250 32.50 42.2 4.85\n", "7 1.500 38.14 48.3 5.08\n", "8 2.000 49.22 60.3 5.54\n", "9 2.500 58.98 73.0 7.01\n", "10 3.000 73.66 88.9 7.62\n", "11 3.500 85.44 101.6 8.08\n", "12 4.000 97.18 114.3 8.56\n", "13 5.000 122.24 141.3 9.53\n", "14 6.000 146.36 168.3 10.97\n", "15 8.000 193.70 219.1 12.70\n", "16 10.000 247.60 273.0 12.70\n", "17 12.000 298.40 323.8 12.70\n", "18 14.000 330.20 355.6 12.70\n", "19 16.000 381.00 406.4 12.70\n", "20 18.000 431.60 457.0 12.70\n", "21 20.000 482.60 508.0 12.70\n", "22 22.000 533.60 559.0 12.70\n", "23 24.000 584.60 610.0 12.70\n", "24 26.000 634.60 660.0 12.70\n", "25 28.000 685.60 711.0 12.70\n", "26 30.000 736.60 762.0 12.70\n", "27 32.000 787.60 813.0 12.70\n", "28 34.000 838.60 864.0 12.70\n", "29 36.000 888.60 914.0 12.70\n", "30 38.000 939.60 965.0 12.70\n", "31 40.000 990.60 1016.0 12.70\n", "32 42.000 1041.60 1067.0 12.70\n", "33 44.000 1092.60 1118.0 12.70\n", "34 46.000 1142.60 1168.0 12.70\n", "35 48.000 1193.60 1219.0 12.70" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "## Schedule XXS" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
00.506.3621.37.47
10.7511.0626.77.82
21.0015.2233.49.09
31.2522.8042.29.70
41.5028.0048.310.15
52.0038.1660.311.07
62.5044.9673.014.02
73.0058.4288.915.24
84.0080.06114.317.12
95.00103.20141.319.05
106.00124.40168.321.95
118.00174.64219.122.23
1210.00222.20273.025.40
1312.00273.00323.825.40
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
00.5018.0021.31.65
10.7523.4026.71.65
21.0030.1033.41.65
31.2538.9042.21.65
41.5045.0048.31.65
52.0057.0060.31.65
62.5068.7873.02.11
73.0084.6888.92.11
83.5097.38101.62.11
94.00110.08114.32.11
105.00135.76141.32.77
116.00162.76168.32.77
128.00213.56219.12.77
1310.00266.30273.13.40
1412.00315.98323.93.96
1514.00347.68355.63.96
1616.00398.02406.44.19
1718.00448.62457.04.19
1820.00498.44508.04.78
1922.00549.44559.04.78
2024.00598.92610.05.54
2130.00749.30762.06.35
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" ], "text/plain": [ " NPS, dimensionless Inner diameter, mm Outer diameter, mm Thickness, mm\n", "0 0.50 18.00 21.3 1.65\n", "1 0.75 23.40 26.7 1.65\n", "2 1.00 30.10 33.4 1.65\n", "3 1.25 38.90 42.2 1.65\n", "4 1.50 45.00 48.3 1.65\n", "5 2.00 57.00 60.3 1.65\n", "6 2.50 68.78 73.0 2.11\n", "7 3.00 84.68 88.9 2.11\n", "8 3.50 97.38 101.6 2.11\n", "9 4.00 110.08 114.3 2.11\n", "10 5.00 135.76 141.3 2.77\n", "11 6.00 162.76 168.3 2.77\n", "12 8.00 213.56 219.1 2.77\n", "13 10.00 266.30 273.1 3.40\n", "14 12.00 315.98 323.9 3.96\n", "15 14.00 347.68 355.6 3.96\n", "16 16.00 398.02 406.4 4.19\n", "17 18.00 448.62 457.0 4.19\n", "18 20.00 498.44 508.0 4.78\n", "19 22.00 549.44 559.0 4.78\n", "20 24.00 598.92 610.0 5.54\n", "21 30.00 749.30 762.0 6.35" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "## Schedule 10S" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
00.1257.8210.31.24
10.25010.4013.71.65
20.37513.8017.11.65
30.50017.0821.32.11
40.75022.4826.72.11
51.00027.8633.42.77
61.25036.6642.22.77
71.50042.7648.32.77
82.00054.7660.32.77
92.50066.9073.03.05
103.00082.8088.93.05
113.50095.50101.63.05
124.000108.20114.33.05
135.000134.50141.33.40
146.000161.50168.33.40
158.000211.58219.13.76
1610.000264.72273.14.19
1712.000314.76323.94.57
1814.000346.04355.64.78
1916.000396.84406.44.78
2018.000447.44457.04.78
2120.000496.92508.05.54
2222.000547.92559.05.54
2324.000597.30610.06.35
2430.000746.16762.07.92
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" ], "text/plain": [ " NPS, dimensionless Inner diameter, mm Outer diameter, mm Thickness, mm\n", "0 0.125 7.82 10.3 1.24\n", "1 0.250 10.40 13.7 1.65\n", "2 0.375 13.80 17.1 1.65\n", "3 0.500 17.08 21.3 2.11\n", "4 0.750 22.48 26.7 2.11\n", "5 1.000 27.86 33.4 2.77\n", "6 1.250 36.66 42.2 2.77\n", "7 1.500 42.76 48.3 2.77\n", "8 2.000 54.76 60.3 2.77\n", "9 2.500 66.90 73.0 3.05\n", "10 3.000 82.80 88.9 3.05\n", "11 3.500 95.50 101.6 3.05\n", "12 4.000 108.20 114.3 3.05\n", "13 5.000 134.50 141.3 3.40\n", "14 6.000 161.50 168.3 3.40\n", "15 8.000 211.58 219.1 3.76\n", "16 10.000 264.72 273.1 4.19\n", "17 12.000 314.76 323.9 4.57\n", "18 14.000 346.04 355.6 4.78\n", "19 16.000 396.84 406.4 4.78\n", "20 18.000 447.44 457.0 4.78\n", "21 20.000 496.92 508.0 5.54\n", "22 22.000 547.92 559.0 5.54\n", "23 24.000 597.30 610.0 6.35\n", "24 30.000 746.16 762.0 7.92" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "## Schedule 40S" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
00.1256.8410.31.73
10.2509.2213.72.24
20.37512.4817.12.31
30.50015.7621.32.77
40.75020.9626.72.87
51.00026.6433.43.38
61.25035.0842.23.56
71.50040.9448.33.68
82.00052.4860.33.91
92.50062.6873.05.16
103.00077.9288.95.49
113.50090.12101.65.74
124.000102.26114.36.02
135.000128.20141.36.55
146.000154.08168.37.11
158.000202.74219.18.18
1610.000254.56273.19.27
1712.000304.84323.99.53
1814.000336.54355.69.53
1916.000387.34406.49.53
2018.000437.94457.09.53
2120.000488.94508.09.53
2224.000590.94610.09.53
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" ], "text/plain": [ " NPS, dimensionless Inner diameter, mm Outer diameter, mm Thickness, mm\n", "0 0.125 6.84 10.3 1.73\n", "1 0.250 9.22 13.7 2.24\n", "2 0.375 12.48 17.1 2.31\n", "3 0.500 15.76 21.3 2.77\n", "4 0.750 20.96 26.7 2.87\n", "5 1.000 26.64 33.4 3.38\n", "6 1.250 35.08 42.2 3.56\n", "7 1.500 40.94 48.3 3.68\n", "8 2.000 52.48 60.3 3.91\n", "9 2.500 62.68 73.0 5.16\n", "10 3.000 77.92 88.9 5.49\n", "11 3.500 90.12 101.6 5.74\n", "12 4.000 102.26 114.3 6.02\n", "13 5.000 128.20 141.3 6.55\n", "14 6.000 154.08 168.3 7.11\n", "15 8.000 202.74 219.1 8.18\n", "16 10.000 254.56 273.1 9.27\n", "17 12.000 304.84 323.9 9.53\n", "18 14.000 336.54 355.6 9.53\n", "19 16.000 387.34 406.4 9.53\n", "20 18.000 437.94 457.0 9.53\n", "21 20.000 488.94 508.0 9.53\n", "22 24.000 590.94 610.0 9.53" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "## Schedule 80S" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
00.1255.4810.32.41
10.2507.6613.73.02
20.37510.7017.13.20
30.50013.8421.33.73
40.75018.8826.73.91
51.00024.3033.44.55
61.25032.5042.24.85
71.50038.1448.35.08
82.00049.2260.35.54
92.50058.9873.07.01
103.00073.6688.97.62
113.50085.44101.68.08
124.00097.18114.38.56
135.000122.24141.39.53
146.000146.36168.310.97
158.000193.70219.112.70
1610.000247.70273.112.70
1712.000298.50323.912.70
1814.000330.20355.612.70
1916.000381.00406.412.70
2018.000431.60457.012.70
2120.000482.60508.012.70
2224.000584.60610.012.70
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" ], "text/plain": [ " NPS, dimensionless Inner diameter, mm Outer diameter, mm Thickness, mm\n", "0 0.125 5.48 10.3 2.41\n", "1 0.250 7.66 13.7 3.02\n", "2 0.375 10.70 17.1 3.20\n", "3 0.500 13.84 21.3 3.73\n", "4 0.750 18.88 26.7 3.91\n", "5 1.000 24.30 33.4 4.55\n", "6 1.250 32.50 42.2 4.85\n", "7 1.500 38.14 48.3 5.08\n", "8 2.000 49.22 60.3 5.54\n", "9 2.500 58.98 73.0 7.01\n", "10 3.000 73.66 88.9 7.62\n", "11 3.500 85.44 101.6 8.08\n", "12 4.000 97.18 114.3 8.56\n", "13 5.000 122.24 141.3 9.53\n", "14 6.000 146.36 168.3 10.97\n", "15 8.000 193.70 219.1 12.70\n", "16 10.000 247.70 273.1 12.70\n", "17 12.000 298.50 323.9 12.70\n", "18 14.000 330.20 355.6 12.70\n", "19 16.000 381.00 406.4 12.70\n", "20 18.000 431.60 457.0 12.70\n", "21 20.000 482.60 508.0 12.70\n", "22 24.000 584.60 610.0 12.70" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "## Schedule 40D1527" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
00.1256.832610.28701.7272
10.2509.245613.71602.2352
20.37512.522217.14502.3114
30.50015.798821.33602.7686
40.75020.929626.67002.8702
51.00026.644633.40103.3782
61.25033.528040.64003.5560
71.50040.894048.26003.6830
82.00052.501860.32503.9116
92.50062.712673.02505.1562
103.00077.927288.90005.4864
113.50090.1192101.60005.7404
124.000102.2604114.30006.0198
135.000128.1938141.30026.5532
146.000154.0510168.27507.1120
158.000202.7174219.07508.1788
1610.000254.5080273.05009.2710
1712.000303.2252323.850010.3124
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" ], "text/plain": [ " NPS, dimensionless Inner diameter, mm Outer diameter, mm Thickness, mm\n", "0 0.125 6.8326 10.2870 1.7272\n", "1 0.250 9.2456 13.7160 2.2352\n", "2 0.375 12.5222 17.1450 2.3114\n", "3 0.500 15.7988 21.3360 2.7686\n", "4 0.750 20.9296 26.6700 2.8702\n", "5 1.000 26.6446 33.4010 3.3782\n", "6 1.250 33.5280 40.6400 3.5560\n", "7 1.500 40.8940 48.2600 3.6830\n", "8 2.000 52.5018 60.3250 3.9116\n", "9 2.500 62.7126 73.0250 5.1562\n", "10 3.000 77.9272 88.9000 5.4864\n", "11 3.500 90.1192 101.6000 5.7404\n", "12 4.000 102.2604 114.3000 6.0198\n", "13 5.000 128.1938 141.3002 6.5532\n", "14 6.000 154.0510 168.2750 7.1120\n", "15 8.000 202.7174 219.0750 8.1788\n", "16 10.000 254.5080 273.0500 9.2710\n", "17 12.000 303.2252 323.8500 10.3124" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "## Schedule 80D1527" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
00.1255.461010.28702.4130
10.2507.670813.71603.0226
20.37510.744217.14503.2004
30.50013.868421.33603.7338
40.75018.846826.67003.9116
51.00024.307833.40104.5466
61.25030.937240.64004.8514
71.50038.100048.26005.0800
82.00049.250660.32505.5372
92.50059.004273.02507.0104
103.00073.660088.90007.6200
113.50085.4456101.60008.0772
124.00097.1804114.30008.5598
135.000122.2502141.30029.5250
146.000146.3294168.275010.9728
158.000193.6750219.075012.7000
1610.000242.9256273.050015.0622
1712.000288.9504323.850017.4498
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" ], "text/plain": [ " NPS, dimensionless Inner diameter, mm Outer diameter, mm Thickness, mm\n", "0 0.125 5.4610 10.2870 2.4130\n", "1 0.250 7.6708 13.7160 3.0226\n", "2 0.375 10.7442 17.1450 3.2004\n", "3 0.500 13.8684 21.3360 3.7338\n", "4 0.750 18.8468 26.6700 3.9116\n", "5 1.000 24.3078 33.4010 4.5466\n", "6 1.250 30.9372 40.6400 4.8514\n", "7 1.500 38.1000 48.2600 5.0800\n", "8 2.000 49.2506 60.3250 5.5372\n", "9 2.500 59.0042 73.0250 7.0104\n", "10 3.000 73.6600 88.9000 7.6200\n", "11 3.500 85.4456 101.6000 8.0772\n", "12 4.000 97.1804 114.3000 8.5598\n", "13 5.000 122.2502 141.3002 9.5250\n", "14 6.000 146.3294 168.2750 10.9728\n", "15 8.000 193.6750 219.0750 12.7000\n", "16 10.000 242.9256 273.0500 15.0622\n", "17 12.000 288.9504 323.8500 17.4498" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "## Schedule ABSD2680" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
08196.85239.01421.082
110247.65298.45025.400
212298.45357.37829.464
315374.65447.54836.449
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" ], "text/plain": [ " NPS, dimensionless Inner diameter, mm Outer diameter, mm Thickness, mm\n", "0 8 196.85 239.014 21.082\n", "1 10 247.65 298.450 25.400\n", "2 12 298.45 357.378 29.464\n", "3 15 374.65 447.548 36.449" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "## Schedule PVCD2680" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
08196.85239.01421.082
110247.65298.45025.400
212298.45357.37829.464
315374.65447.54836.449
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" ], "text/plain": [ " NPS, dimensionless Inner diameter, mm Outer diameter, mm Thickness, mm\n", "0 8 196.85 239.014 21.082\n", "1 10 247.65 298.450 25.400\n", "2 12 298.45 357.378 29.464\n", "3 15 374.65 447.548 36.449" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "## Schedule DR25C900" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
04112.14121.94.88
16161.28175.37.01
28211.52229.99.19
310259.34281.911.28
412308.48335.313.41
\n", "
" ], "text/plain": [ " NPS, dimensionless Inner diameter, mm Outer diameter, mm Thickness, mm\n", "0 4 112.14 121.9 4.88\n", "1 6 161.28 175.3 7.01\n", "2 8 211.52 229.9 9.19\n", "3 10 259.34 281.9 11.28\n", "4 12 308.48 335.3 13.41" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "## Schedule DR18C900" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
04108.34121.96.78
16155.84175.39.73
28204.34229.912.78
310250.56281.915.67
412298.06335.318.62
\n", "
" ], "text/plain": [ " NPS, dimensionless Inner diameter, mm Outer diameter, mm Thickness, mm\n", "0 4 108.34 121.9 6.78\n", "1 6 155.84 175.3 9.73\n", "2 8 204.34 229.9 12.78\n", "3 10 250.56 281.9 15.67\n", "4 12 298.06 335.3 18.62" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "## Schedule DR14C900" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
04104.48121.98.71
16150.26175.312.52
28197.08229.916.41
310241.62281.920.14
412287.40335.323.95
\n", "
" ], "text/plain": [ " NPS, dimensionless Inner diameter, mm Outer diameter, mm Thickness, mm\n", "0 4 104.48 121.9 8.71\n", "1 6 150.26 175.3 12.52\n", "2 8 197.08 229.9 16.41\n", "3 10 241.62 281.9 20.14\n", "4 12 287.40 335.3 23.95" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "## Schedule CIDR51C905" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
018475.90495.39.70
120527.06548.610.77
224629.60655.312.85
330780.94812.815.93
436934.64972.819.08
5421086.001130.322.15
6481239.701290.325.30
\n", "
" ], "text/plain": [ " NPS, dimensionless Inner diameter, mm Outer diameter, mm Thickness, mm\n", "0 18 475.90 495.3 9.70\n", "1 20 527.06 548.6 10.77\n", "2 24 629.60 655.3 12.85\n", "3 30 780.94 812.8 15.93\n", "4 36 934.64 972.8 19.08\n", "5 42 1086.00 1130.3 22.15\n", "6 48 1239.70 1290.3 25.30" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "## Schedule CIDR41C905" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
014369.66388.69.47
116420.46442.010.77
218471.12495.312.09
320521.82548.613.39
424623.34655.315.98
530773.18812.819.81
636925.36972.823.72
7421075.181130.327.56
8481227.361290.331.47
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" ], "text/plain": [ " NPS, dimensionless Inner diameter, mm Outer diameter, mm Thickness, mm\n", "0 14 369.66 388.6 9.47\n", "1 16 420.46 442.0 10.77\n", "2 18 471.12 495.3 12.09\n", "3 20 521.82 548.6 13.39\n", "4 24 623.34 655.3 15.98\n", "5 30 773.18 812.8 19.81\n", "6 36 925.36 972.8 23.72\n", "7 42 1075.18 1130.3 27.56\n", "8 48 1227.36 1290.3 31.47" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "## Schedule CIDR325C905" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
014364.68388.611.96
116414.82442.013.59
218464.82495.315.24
320514.82548.616.89
424614.96655.320.17
530762.76812.825.02
636912.96972.829.92
7421060.761130.334.77
8481210.901290.339.70
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" ], "text/plain": [ " NPS, dimensionless Inner diameter, mm Outer diameter, mm Thickness, mm\n", "0 14 364.68 388.6 11.96\n", "1 16 414.82 442.0 13.59\n", "2 18 464.82 495.3 15.24\n", "3 20 514.82 548.6 16.89\n", "4 24 614.96 655.3 20.17\n", "5 30 762.76 812.8 25.02\n", "6 36 912.96 972.8 29.92\n", "7 42 1060.76 1130.3 34.77\n", "8 48 1210.90 1290.3 39.70" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "## Schedule CIDR25C905" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
014357.52388.615.54
116406.64442.017.68
218455.68495.319.81
320504.70548.621.95
424602.88655.326.21
530747.78812.832.51
636894.98972.838.91
7421039.881130.345.21
8481187.081290.351.61
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
014333.76355.610.92
116381.40406.412.50
218429.06457.214.07
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
014338.28355.68.66
116386.58406.49.91
218434.90457.211.15
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530724.82762.018.59
636869.80914.422.30
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
018440.9186475.005417.0434
121519.8110559.993820.0914
224584.8350629.996222.5806
327659.1046710.006225.4508
430754.4816812.800029.1592
536903.0716972.820034.8742
6421049.22321130.300040.5384
7481197.76241290.320046.2788
8541357.17281462.024052.4256
9601452.62601564.894056.1340
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
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224590.6262629.996219.6850
327665.6070710.006222.1996
430762.0000812.800025.4000
536912.0124972.820030.4038
6421059.63721130.300035.3314
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8541370.63481462.024045.6946
9601467.05321564.894048.9204
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
018449.6562475.005412.6746
121530.1234559.993814.9352
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327672.1602710.006218.9230
430769.4676812.800021.6662
536920.9532972.820025.9334
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
01.2535.052042.1643.5560
11.5040.894048.2603.6830
22.0052.501860.3253.9116
33.0077.927288.9005.4864
44.00102.2604114.3006.0198
56.00154.0510168.2757.1120
68.00202.7174219.0758.1788
710.00254.5080273.0509.2710
812.00303.2252323.85010.3124
914.00333.7560355.60010.9220
1016.00381.0000406.40012.7000
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1220.00477.8756508.00015.0622
1324.00574.7004609.60017.4498
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
00.1256.832610.28701.7272
10.2509.245613.71602.2352
20.37512.522217.14502.3114
30.50015.798821.33602.7686
40.75020.929626.67002.8702
51.00026.644633.40103.3782
61.25035.052042.16403.5560
71.50040.894048.26003.6830
82.00052.501860.32503.9116
92.50062.712673.02505.1562
103.00077.927288.90005.4864
113.50090.1192101.60005.7404
124.000102.2604114.30006.0198
135.000128.1938141.30026.5532
146.000154.0510168.27507.1120
158.000202.7174219.07508.1788
1610.000254.5080273.05009.2710
1712.000303.2252323.850010.3124
1814.000333.4004355.600011.0998
1916.000381.0000406.400012.7000
2018.000428.6504457.200014.2748
2120.000477.8756508.000015.0622
2224.000574.7004609.600017.4498
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" ], "text/plain": [ " NPS, dimensionless Inner diameter, mm Outer diameter, mm Thickness, mm\n", "0 0.125 6.8326 10.2870 1.7272\n", "1 0.250 9.2456 13.7160 2.2352\n", "2 0.375 12.5222 17.1450 2.3114\n", "3 0.500 15.7988 21.3360 2.7686\n", "4 0.750 20.9296 26.6700 2.8702\n", "5 1.000 26.6446 33.4010 3.3782\n", "6 1.250 35.0520 42.1640 3.5560\n", "7 1.500 40.8940 48.2600 3.6830\n", "8 2.000 52.5018 60.3250 3.9116\n", "9 2.500 62.7126 73.0250 5.1562\n", "10 3.000 77.9272 88.9000 5.4864\n", "11 3.500 90.1192 101.6000 5.7404\n", "12 4.000 102.2604 114.3000 6.0198\n", "13 5.000 128.1938 141.3002 6.5532\n", "14 6.000 154.0510 168.2750 7.1120\n", "15 8.000 202.7174 219.0750 8.1788\n", "16 10.000 254.5080 273.0500 9.2710\n", "17 12.000 303.2252 323.8500 10.3124\n", "18 14.000 333.4004 355.6000 11.0998\n", "19 16.000 381.0000 406.4000 12.7000\n", "20 18.000 428.6504 457.2000 14.2748\n", "21 20.000 477.8756 508.0000 15.0622\n", "22 24.000 574.7004 609.6000 17.4498" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "## Schedule 80D1785" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
00.1255.461010.28702.4130
10.2507.670813.71603.0226
20.37510.744217.14503.2004
30.50013.868421.33603.7338
40.75018.846826.67003.9116
51.00024.307833.40104.5466
61.25032.461242.16404.8514
71.50038.100048.26005.0800
82.00049.250660.32505.5372
92.50059.004273.02507.0104
103.00073.660088.90007.6200
113.50085.4456101.60008.0772
124.00097.1804114.30008.5598
135.000122.2502141.30029.5250
146.000146.3294168.275010.9728
158.000193.6750219.075012.7000
1610.000242.9256273.050015.0622
1712.000288.9504323.850017.4498
1814.000317.5000355.600019.0500
1916.000363.5756406.400021.4122
2018.000409.6004457.200023.7998
2120.000455.6252508.000026.1874
2224.000547.7256609.600030.9372
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" ], "text/plain": [ " NPS, dimensionless Inner diameter, mm Outer diameter, mm Thickness, mm\n", "0 0.125 5.4610 10.2870 2.4130\n", "1 0.250 7.6708 13.7160 3.0226\n", "2 0.375 10.7442 17.1450 3.2004\n", "3 0.500 13.8684 21.3360 3.7338\n", "4 0.750 18.8468 26.6700 3.9116\n", "5 1.000 24.3078 33.4010 4.5466\n", "6 1.250 32.4612 42.1640 4.8514\n", "7 1.500 38.1000 48.2600 5.0800\n", "8 2.000 49.2506 60.3250 5.5372\n", "9 2.500 59.0042 73.0250 7.0104\n", "10 3.000 73.6600 88.9000 7.6200\n", "11 3.500 85.4456 101.6000 8.0772\n", "12 4.000 97.1804 114.3000 8.5598\n", "13 5.000 122.2502 141.3002 9.5250\n", "14 6.000 146.3294 168.2750 10.9728\n", "15 8.000 193.6750 219.0750 12.7000\n", "16 10.000 242.9256 273.0500 15.0622\n", "17 12.000 288.9504 323.8500 17.4498\n", "18 14.000 317.5000 355.6000 19.0500\n", "19 16.000 363.5756 406.4000 21.4122\n", "20 18.000 409.6004 457.2000 23.7998\n", "21 20.000 455.6252 508.0000 26.1874\n", "22 24.000 547.7256 609.6000 30.9372" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "## Schedule 120D1785" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
00.5012.700021.33604.3180
10.7518.034026.67004.3180
21.0023.241033.40105.0800
31.2531.242042.16405.4610
41.5036.830048.26005.7150
52.0047.625060.32506.3500
62.5057.785073.02507.6200
73.0071.120088.90008.8900
83.5083.8200101.60008.8900
94.0092.1004114.300011.0998
105.00115.9002141.300212.7000
116.00139.7254168.275014.2748
128.00182.6006219.075018.2372
1310.00230.2256273.050021.4122
1412.00273.0500323.850025.4000
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" ], "text/plain": [ " NPS, dimensionless Inner diameter, mm Outer diameter, mm Thickness, mm\n", "0 0.50 12.7000 21.3360 4.3180\n", "1 0.75 18.0340 26.6700 4.3180\n", "2 1.00 23.2410 33.4010 5.0800\n", "3 1.25 31.2420 42.1640 5.4610\n", "4 1.50 36.8300 48.2600 5.7150\n", "5 2.00 47.6250 60.3250 6.3500\n", "6 2.50 57.7850 73.0250 7.6200\n", "7 3.00 71.1200 88.9000 8.8900\n", "8 3.50 83.8200 101.6000 8.8900\n", "9 4.00 92.1004 114.3000 11.0998\n", "10 5.00 115.9002 141.3002 12.7000\n", "11 6.00 139.7254 168.2750 14.2748\n", "12 8.00 182.6006 219.0750 18.2372\n", "13 10.00 230.2256 273.0500 21.4122\n", "14 12.00 273.0500 323.8500 25.4000" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "## Schedule DR135D2241" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
00.1257.239010.28701.5240
10.25010.668013.71601.5240
20.37514.097017.14501.5240
30.50018.186421.33601.5748
40.75022.707626.67001.9812
51.00028.473433.40102.4638
61.25035.915642.16403.1242
71.50041.097248.26003.5814
82.00051.384260.32504.4704
92.50062.204673.02505.4102
103.00075.742888.90006.5786
113.50086.5632101.60007.5184
124.00097.3836114.30008.4582
135.000120.3706141.300210.4648
146.000143.3322168.275012.4714
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" ], "text/plain": [ " NPS, dimensionless Inner diameter, mm Outer diameter, mm Thickness, mm\n", "0 0.125 7.2390 10.2870 1.5240\n", "1 0.250 10.6680 13.7160 1.5240\n", "2 0.375 14.0970 17.1450 1.5240\n", "3 0.500 18.1864 21.3360 1.5748\n", "4 0.750 22.7076 26.6700 1.9812\n", "5 1.000 28.4734 33.4010 2.4638\n", "6 1.250 35.9156 42.1640 3.1242\n", "7 1.500 41.0972 48.2600 3.5814\n", "8 2.000 51.3842 60.3250 4.4704\n", "9 2.500 62.2046 73.0250 5.4102\n", "10 3.000 75.7428 88.9000 6.5786\n", "11 3.500 86.5632 101.6000 7.5184\n", "12 4.000 97.3836 114.3000 8.4582\n", "13 5.000 120.3706 141.3002 10.4648\n", "14 6.000 143.3322 168.2750 12.4714" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "## Schedule DR17D2241" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
00.7523.520426.67001.5748
11.0029.489433.40101.9558
21.2537.185642.16402.4892
31.5042.570448.26002.8448
42.0053.213060.32503.5560
52.5064.439873.02504.2926
63.0078.435288.90005.2324
73.5089.6620101.60005.9690
84.00100.8380114.30006.7310
95.00124.6886141.30028.3058
106.00148.4630168.27509.9060
118.00193.2686219.075012.9032
1210.00240.9444273.050016.0528
1312.00285.7500323.850019.0500
1414.00313.7916355.600020.9042
1516.00358.5972406.400023.9014
1618.00403.4028457.200026.8986
1720.00448.2592508.000029.8704
1824.00537.8704609.600035.8648
1930.00672.3380762.000044.8310
2036.00806.8056914.400053.7972
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" ], "text/plain": [ " NPS, dimensionless Inner diameter, mm Outer diameter, mm Thickness, mm\n", "0 0.75 23.5204 26.6700 1.5748\n", "1 1.00 29.4894 33.4010 1.9558\n", "2 1.25 37.1856 42.1640 2.4892\n", "3 1.50 42.5704 48.2600 2.8448\n", "4 2.00 53.2130 60.3250 3.5560\n", "5 2.50 64.4398 73.0250 4.2926\n", "6 3.00 78.4352 88.9000 5.2324\n", "7 3.50 89.6620 101.6000 5.9690\n", "8 4.00 100.8380 114.3000 6.7310\n", "9 5.00 124.6886 141.3002 8.3058\n", "10 6.00 148.4630 168.2750 9.9060\n", "11 8.00 193.2686 219.0750 12.9032\n", "12 10.00 240.9444 273.0500 16.0528\n", "13 12.00 285.7500 323.8500 19.0500\n", "14 14.00 313.7916 355.6000 20.9042\n", "15 16.00 358.5972 406.4000 23.9014\n", "16 18.00 403.4028 457.2000 26.8986\n", "17 20.00 448.2592 508.0000 29.8704\n", "18 24.00 537.8704 609.6000 35.8648\n", "19 30.00 672.3380 762.0000 44.8310\n", "20 36.00 806.8056 914.4000 53.7972" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "## Schedule DR21D2241" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
00.7523.622026.67001.5240
11.0030.200633.40101.6002
21.2538.150842.16402.0066
31.5043.688048.26002.2860
42.0054.584660.32502.8702
52.5066.065473.02503.4798
63.0080.416488.90004.2418
73.5091.9480101.60004.8260
84.00103.4288114.30005.4356
95.00127.8382141.30026.7310
106.00152.2222168.27508.0264
118.00198.2470219.075010.4140
1210.00247.0912273.050012.9794
1312.00293.0652323.850015.3924
1414.00321.7672355.600016.9164
1516.00367.6904406.400019.3548
1618.00413.6644457.200021.7678
1720.00459.6384508.000024.1808
1824.00551.5356609.600029.0322
1930.00689.4576762.000036.2712
2036.00827.3288914.400043.5356
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" ], "text/plain": [ " NPS, dimensionless Inner diameter, mm Outer diameter, mm Thickness, mm\n", "0 0.75 23.6220 26.6700 1.5240\n", "1 1.00 30.2006 33.4010 1.6002\n", "2 1.25 38.1508 42.1640 2.0066\n", "3 1.50 43.6880 48.2600 2.2860\n", "4 2.00 54.5846 60.3250 2.8702\n", "5 2.50 66.0654 73.0250 3.4798\n", "6 3.00 80.4164 88.9000 4.2418\n", "7 3.50 91.9480 101.6000 4.8260\n", "8 4.00 103.4288 114.3000 5.4356\n", "9 5.00 127.8382 141.3002 6.7310\n", "10 6.00 152.2222 168.2750 8.0264\n", "11 8.00 198.2470 219.0750 10.4140\n", "12 10.00 247.0912 273.0500 12.9794\n", "13 12.00 293.0652 323.8500 15.3924\n", "14 14.00 321.7672 355.6000 16.9164\n", "15 16.00 367.6904 406.4000 19.3548\n", "16 18.00 413.6644 457.2000 21.7678\n", "17 20.00 459.6384 508.0000 24.1808\n", "18 24.00 551.5356 609.6000 29.0322\n", "19 30.00 689.4576 762.0000 36.2712\n", "20 36.00 827.3288 914.4000 43.5356" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "## Schedule DR26D2241" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
01.0030.353033.40101.5240
11.2538.912842.16401.6256
21.5044.551648.26001.8542
32.0055.702260.32502.3114
42.5067.437073.02502.7940
53.0082.042088.90003.4290
63.5093.7768101.60003.9116
74.00105.5116114.30004.3942
85.00130.4290141.30025.4356
96.00155.3210168.27506.4770
108.00202.2094219.07508.4328
1110.00252.0696273.050010.4902
1212.00298.9580323.850012.4460
1314.00328.2696355.600013.6652
1416.00375.1580406.400015.6210
1518.00422.0464457.200017.5768
1620.00468.9348508.000019.5326
1724.00562.7116609.600023.4442
1830.00703.3768762.000029.3116
1936.00844.0420914.400035.1790
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" ], "text/plain": [ " NPS, dimensionless Inner diameter, mm Outer diameter, mm Thickness, mm\n", "0 1.00 30.3530 33.4010 1.5240\n", "1 1.25 38.9128 42.1640 1.6256\n", "2 1.50 44.5516 48.2600 1.8542\n", "3 2.00 55.7022 60.3250 2.3114\n", "4 2.50 67.4370 73.0250 2.7940\n", "5 3.00 82.0420 88.9000 3.4290\n", "6 3.50 93.7768 101.6000 3.9116\n", "7 4.00 105.5116 114.3000 4.3942\n", "8 5.00 130.4290 141.3002 5.4356\n", "9 6.00 155.3210 168.2750 6.4770\n", "10 8.00 202.2094 219.0750 8.4328\n", "11 10.00 252.0696 273.0500 10.4902\n", "12 12.00 298.9580 323.8500 12.4460\n", "13 14.00 328.2696 355.6000 13.6652\n", "14 16.00 375.1580 406.4000 15.6210\n", "15 18.00 422.0464 457.2000 17.5768\n", "16 20.00 468.9348 508.0000 19.5326\n", "17 24.00 562.7116 609.6000 23.4442\n", "18 30.00 703.3768 762.0000 29.3116\n", "19 36.00 844.0420 914.4000 35.1790" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "## Schedule DR325D2241" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
01.2539.116042.16401.5240
11.5045.212048.26001.5240
22.0056.616660.32501.8542
32.5068.554673.02502.2352
43.0083.413688.90002.7432
53.5095.3516101.60003.1242
64.00107.2896114.30003.5052
75.00132.6134141.30024.3434
86.00157.9118168.27505.1816
98.00205.6130219.07506.7310
1010.00256.2352273.05008.4074
1112.00303.9364323.85009.9568
1214.00333.7560355.600010.9220
1316.00381.4064406.400012.4968
1418.00429.0568457.200014.0716
1520.00476.7580508.000015.6210
1624.00572.1096609.600018.7452
1730.00715.1116762.000023.4442
1836.00858.1136914.400028.1432
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" ], "text/plain": [ " NPS, dimensionless Inner diameter, mm Outer diameter, mm Thickness, mm\n", "0 1.25 39.1160 42.1640 1.5240\n", "1 1.50 45.2120 48.2600 1.5240\n", "2 2.00 56.6166 60.3250 1.8542\n", "3 2.50 68.5546 73.0250 2.2352\n", "4 3.00 83.4136 88.9000 2.7432\n", "5 3.50 95.3516 101.6000 3.1242\n", "6 4.00 107.2896 114.3000 3.5052\n", "7 5.00 132.6134 141.3002 4.3434\n", "8 6.00 157.9118 168.2750 5.1816\n", "9 8.00 205.6130 219.0750 6.7310\n", "10 10.00 256.2352 273.0500 8.4074\n", "11 12.00 303.9364 323.8500 9.9568\n", "12 14.00 333.7560 355.6000 10.9220\n", "13 16.00 381.4064 406.4000 12.4968\n", "14 18.00 429.0568 457.2000 14.0716\n", "15 20.00 476.7580 508.0000 15.6210\n", "16 24.00 572.1096 609.6000 18.7452\n", "17 30.00 715.1116 762.0000 23.4442\n", "18 36.00 858.1136 914.4000 28.1432" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "## Schedule DR41D2241" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
03.084.582088.90002.1590
13.596.6216101.60002.4892
24.0108.7120114.30002.7940
35.0134.3914141.30023.4544
46.0160.0454168.27504.1148
58.0208.4070219.07505.3340
610.0259.7404273.05006.6548
712.0308.0512323.85007.8994
814.0338.2772355.60008.6614
916.0386.5880406.40009.9060
1018.0434.8988457.200011.1506
1120.0483.2096508.000012.3952
1224.0579.8820609.600014.8590
1330.0724.8144762.000018.5928
1436.0869.7976914.400022.3012
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" ], "text/plain": [ " NPS, dimensionless Inner diameter, mm Outer diameter, mm Thickness, mm\n", "0 3.0 84.5820 88.9000 2.1590\n", "1 3.5 96.6216 101.6000 2.4892\n", "2 4.0 108.7120 114.3000 2.7940\n", "3 5.0 134.3914 141.3002 3.4544\n", "4 6.0 160.0454 168.2750 4.1148\n", "5 8.0 208.4070 219.0750 5.3340\n", "6 10.0 259.7404 273.0500 6.6548\n", "7 12.0 308.0512 323.8500 7.8994\n", "8 14.0 338.2772 355.6000 8.6614\n", "9 16.0 386.5880 406.4000 9.9060\n", "10 18.0 434.8988 457.2000 11.1506\n", "11 20.0 483.2096 508.0000 12.3952\n", "12 24.0 579.8820 609.6000 14.8590\n", "13 30.0 724.8144 762.0000 18.5928\n", "14 36.0 869.7976 914.4000 22.3012" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "## Schedule DR64D2241" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
04110.7440114.30001.7780
15136.8806141.30022.2098
26162.9918168.27502.6416
38212.2170219.07503.4290
410264.5156273.05004.2672
512313.7408323.85005.0546
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" ], "text/plain": [ " NPS, dimensionless Inner diameter, mm Outer diameter, mm Thickness, mm\n", "0 4 110.7440 114.3000 1.7780\n", "1 5 136.8806 141.3002 2.2098\n", "2 6 162.9918 168.2750 2.6416\n", "3 8 212.2170 219.0750 3.4290\n", "4 10 264.5156 273.0500 4.2672\n", "5 12 313.7408 323.8500 5.0546" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "## Schedule DR21D2241CTS" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
01.0025.527028.5751.5240
11.2531.623034.9251.6510
21.5037.363441.2751.9558
32.0048.844253.9752.5654
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" ], "text/plain": [ " NPS, dimensionless Inner diameter, mm Outer diameter, mm Thickness, mm\n", "0 1.00 25.5270 28.575 1.5240\n", "1 1.25 31.6230 34.925 1.6510\n", "2 1.50 37.3634 41.275 1.9558\n", "3 2.00 48.8442 53.975 2.5654" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "## Schedule DR17D2241CTS" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
00.7519.177022.2251.5240
11.0025.222228.5751.6764
21.2530.810234.9252.0574
31.5036.398241.2752.4384
42.0047.625053.9753.1750
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
00.5012.827015.8751.5240
10.7518.923022.2251.6510
21.0024.358628.5752.1082
31.2529.743434.9252.5908
41.5035.179041.2753.0480
52.0045.999453.9753.9878
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
00.5012.827015.8751.5240
10.7518.161022.2252.0320
21.0023.393428.5752.5908
31.2528.575034.9253.1750
41.5033.756641.2753.7592
52.0044.170653.9754.9022
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" ], "text/plain": [ " NPS, dimensionless Inner diameter, mm Outer diameter, mm Thickness, mm\n", "0 0.50 12.8270 15.875 1.5240\n", "1 0.75 18.1610 22.225 2.0320\n", "2 1.00 23.3934 28.575 2.5908\n", "3 1.25 28.5750 34.925 3.1750\n", "4 1.50 33.7566 41.275 3.7592\n", "5 2.00 44.1706 53.975 4.9022" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "## Schedule DR21D2241PIP" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
015351.6376388.6218.4912
\n", "
" ], "text/plain": [ " NPS, dimensionless Inner diameter, mm Outer diameter, mm Thickness, mm\n", "0 15 351.6376 388.62 18.4912" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "## Schedule DR26D2241PIP" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
015358.7496388.620014.9352
118438.4802475.005418.2626
221516.9154559.993821.5392
324581.5330629.996224.2316
427655.3962710.006227.3050
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
06146.3548155.95604.8006
18194.5132207.26406.3754
210243.1288259.08007.9756
312291.7444310.89609.5758
415364.6932388.620011.9634
518445.7954475.005414.6050
621525.5514559.993817.2212
724591.2358629.996219.3802
827666.3182710.006221.8440
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
015366.4204388.620011.0998
118447.8782475.005413.5636
221527.9898559.993816.0020
324593.9790629.996218.0086
427669.4170710.006220.2946
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
06148.3360155.95603.8100
18197.1548207.26405.0546
210246.4308259.08006.3246
312295.7068310.89607.5946
415369.6716388.62009.4742
518451.8406475.005411.5824
621532.6634559.993813.6652
724599.2622629.996215.3670
827675.3606710.006217.3228
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
06149.8600155.95603.0480
18199.1360207.26404.0640
210248.9200259.08005.0800
312298.7040310.89606.0960
415373.3800388.62007.6200
518456.4126475.00549.2964
621538.0482559.993810.9728
724605.3074629.996212.3444
827682.1678710.006213.9192
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
06152.0952155.9561.9304
18202.1332207.2642.5654
210252.6792259.0803.2004
312303.2252310.8963.8354
415379.0188388.6204.8006
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
00.2509.245613.71602.2352
10.37512.522217.14502.3114
20.50015.798821.33602.7686
30.75020.929626.67002.8702
41.00026.644633.40103.3782
51.25035.052042.16403.5560
61.50040.894048.26003.6830
72.00052.501860.32503.9116
82.50062.712673.02505.1562
93.00077.927288.90005.4864
103.50090.1192101.60005.7404
114.000102.2604114.30006.0198
125.000128.1938141.30026.5532
136.000154.0510168.27507.1120
148.000202.7174219.07508.1788
1510.000254.5080273.05009.2710
1612.000303.2252323.850010.3124
1714.000333.4004355.600011.0998
1816.000381.0000406.400012.7000
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
00.2507.670813.71603.0226
10.37510.744217.14503.2004
20.50013.868421.33603.7338
30.75018.846826.67003.9116
41.00024.307833.40104.5466
51.25032.461242.16404.8514
61.50038.100048.26005.0800
72.00049.250660.32505.5372
82.50059.004273.02507.0104
93.00073.660088.90007.6200
103.50085.4456101.60008.0772
114.00097.1804114.30008.5598
125.000122.2502141.30029.5250
136.000146.3294168.275010.9728
148.000193.6750219.075012.7000
1510.000242.9256273.050015.0622
1612.000288.9504323.850017.4498
1714.000317.5000355.600019.0500
1816.000363.5756406.400021.4122
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
089.2213.72.24
11012.4817.12.31
21515.7621.32.77
32020.9626.72.87
42526.6433.43.38
53235.0842.23.56
64040.9448.33.68
75052.4860.33.91
86562.6873.05.16
98077.9288.95.49
109090.12101.65.74
11100102.26114.36.02
12125128.20141.36.55
13150154.08168.37.11
14200202.74219.18.18
15250254.56273.19.27
16300303.28323.910.31
17350333.40355.611.10
18400381.00406.412.70
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
087.6613.73.02
11010.7017.13.20
21513.8421.33.73
32018.8826.73.91
42524.3033.44.55
53232.5042.24.85
64038.1448.35.08
75049.2260.35.54
86558.9873.07.01
98073.6688.97.62
109085.44101.68.08
1110097.18114.38.56
12125122.26141.39.52
13150146.36168.310.97
14200193.70219.112.70
15250242.98273.115.06
16300289.00323.917.45
17350317.50355.619.05
18400364.12406.421.14
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
04107.28114.303.51
15132.60141.304.35
26157.92168.285.18
38205.62219.086.73
410256.23273.058.41
512303.93323.859.96
614333.70355.6010.95
716381.40406.4012.50
818429.06457.2014.07
920476.76508.0015.62
1022524.40558.8017.20
1124572.10609.6018.75
1226619.76660.4020.32
1328667.42711.2021.89
1430715.12762.0023.44
1532762.76812.8025.02
1634810.46863.6026.57
1736858.12914.4028.14
18421001.161066.8032.82
19481144.161219.2037.52
20541287.181371.6042.21
21631501.761600.2049.22
22651549.401651.0050.80
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" ], "text/plain": [ " NPS, dimensionless Inner diameter, mm Outer diameter, mm Thickness, mm\n", "0 4 107.28 114.30 3.51\n", "1 5 132.60 141.30 4.35\n", "2 6 157.92 168.28 5.18\n", "3 8 205.62 219.08 6.73\n", "4 10 256.23 273.05 8.41\n", "5 12 303.93 323.85 9.96\n", "6 14 333.70 355.60 10.95\n", "7 16 381.40 406.40 12.50\n", "8 18 429.06 457.20 14.07\n", "9 20 476.76 508.00 15.62\n", "10 22 524.40 558.80 17.20\n", "11 24 572.10 609.60 18.75\n", "12 26 619.76 660.40 20.32\n", "13 28 667.42 711.20 21.89\n", "14 30 715.12 762.00 23.44\n", "15 32 762.76 812.80 25.02\n", "16 34 810.46 863.60 26.57\n", "17 36 858.12 914.40 28.14\n", "18 42 1001.16 1066.80 32.82\n", "19 48 1144.16 1219.20 37.52\n", "20 54 1287.18 1371.60 42.21\n", "21 63 1501.76 1600.20 49.22\n", "22 65 1549.40 1651.00 50.80" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "## Schedule DR26F2619SI" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
04105.52114.304.39
15130.44141.305.43
26155.32168.286.48
38202.22219.088.43
410252.07273.0510.49
512298.95323.8512.45
614328.26355.6013.67
716375.16406.4015.62
818422.04457.2017.58
920467.56508.0020.22
1022515.82558.8021.49
1124562.72609.6023.44
1226609.60660.4025.40
1328656.48711.2027.36
1430703.38762.0029.31
1532750.26812.8031.27
1634797.16863.6033.22
1736844.04914.4035.18
1842984.761066.8041.02
19481125.421219.2046.89
20541266.081371.6052.76
21631477.101600.2061.55
22651524.001651.0063.50
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" ], "text/plain": [ " NPS, dimensionless Inner diameter, mm Outer diameter, mm Thickness, mm\n", "0 4 105.52 114.30 4.39\n", "1 5 130.44 141.30 5.43\n", "2 6 155.32 168.28 6.48\n", "3 8 202.22 219.08 8.43\n", "4 10 252.07 273.05 10.49\n", "5 12 298.95 323.85 12.45\n", "6 14 328.26 355.60 13.67\n", "7 16 375.16 406.40 15.62\n", "8 18 422.04 457.20 17.58\n", "9 20 467.56 508.00 20.22\n", "10 22 515.82 558.80 21.49\n", "11 24 562.72 609.60 23.44\n", "12 26 609.60 660.40 25.40\n", "13 28 656.48 711.20 27.36\n", "14 30 703.38 762.00 29.31\n", "15 32 750.26 812.80 31.27\n", "16 34 797.16 863.60 33.22\n", "17 36 844.04 914.40 35.18\n", "18 42 984.76 1066.80 41.02\n", "19 48 1125.42 1219.20 46.89\n", "20 54 1266.08 1371.60 52.76\n", "21 63 1477.10 1600.20 61.55\n", "22 65 1524.00 1651.00 63.50" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "## Schedule DR21F2619SI" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
02.566.0773.033.48
13.080.4288.904.24
24.0103.42114.305.44
35.0127.84141.306.73
46.0152.28168.288.00
58.0198.20219.0810.44
610.0247.05273.0513.00
712.0293.01323.8515.42
814.0321.72355.6016.94
916.0367.70406.4019.35
1018.0413.66457.2021.77
1120.0459.64508.0024.18
1222.0505.56558.8026.62
1324.0551.54609.6029.03
1426.0597.50660.4031.45
1528.0643.48711.2033.86
1630.0689.40762.0036.30
1732.0735.38812.8038.71
1834.0781.36863.6041.12
1936.0827.32914.4043.54
2042.0965.201066.8050.80
2148.01103.081219.2058.06
2254.01241.001371.6065.30
2363.01447.801600.2076.20
2465.01493.781651.0078.61
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" ], "text/plain": [ " NPS, dimensionless Inner diameter, mm Outer diameter, mm Thickness, mm\n", "0 2.5 66.07 73.03 3.48\n", "1 3.0 80.42 88.90 4.24\n", "2 4.0 103.42 114.30 5.44\n", "3 5.0 127.84 141.30 6.73\n", "4 6.0 152.28 168.28 8.00\n", "5 8.0 198.20 219.08 10.44\n", "6 10.0 247.05 273.05 13.00\n", "7 12.0 293.01 323.85 15.42\n", "8 14.0 321.72 355.60 16.94\n", "9 16.0 367.70 406.40 19.35\n", "10 18.0 413.66 457.20 21.77\n", "11 20.0 459.64 508.00 24.18\n", "12 22.0 505.56 558.80 26.62\n", "13 24.0 551.54 609.60 29.03\n", "14 26.0 597.50 660.40 31.45\n", "15 28.0 643.48 711.20 33.86\n", "16 30.0 689.40 762.00 36.30\n", "17 32.0 735.38 812.80 38.71\n", "18 34.0 781.36 863.60 41.12\n", "19 36.0 827.32 914.40 43.54\n", "20 42.0 965.20 1066.80 50.80\n", "21 48.0 1103.08 1219.20 58.06\n", "22 54.0 1241.00 1371.60 65.30\n", "23 63.0 1447.80 1600.20 76.20\n", "24 65.0 1493.78 1651.00 78.61" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "## Schedule DR17F2619SI" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
02.053.2160.333.56
12.564.4573.034.29
23.078.4488.905.23
34.0100.84114.306.73
45.0124.68141.308.31
56.0148.46168.289.91
68.0193.32219.0812.88
710.0240.95273.0516.05
812.0285.75323.8519.05
914.0313.74355.6020.93
1016.0358.60406.4023.90
1118.0403.40457.2026.90
1220.0448.26508.0029.87
1322.0493.06558.8032.87
1424.0537.88609.6035.86
1526.0582.72660.4038.84
1628.0627.54711.2041.83
1730.0672.34762.0044.83
1832.0717.20812.8047.80
1934.0762.00863.6050.80
2036.0806.80914.4053.80
2142.0941.281066.8062.76
2248.01075.741219.2071.73
2354.01210.261371.6080.67
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
00.5018.1821.341.58
10.7522.7126.671.98
21.0028.4833.402.46
31.2535.9242.163.12
41.5041.1048.263.58
52.0051.3960.334.47
62.5062.2173.035.41
73.0075.7488.906.58
84.0097.38114.308.46
95.00120.36141.3010.47
106.00143.34168.2812.47
118.00186.62219.0816.23
1210.00232.61273.0520.22
1312.00275.89323.8523.98
1414.00302.92355.6026.34
1516.00346.20406.4030.10
1618.00389.48457.2033.86
1720.00432.76508.0037.62
1822.00476.00558.8041.40
1924.00519.28609.6045.16
2026.00562.56660.4048.92
2128.00605.84711.2052.68
2230.00649.12762.0056.44
2332.00692.40812.8060.20
2434.00735.64863.6063.98
2536.00778.92914.4067.74
2642.00908.761066.8079.02
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" ], "text/plain": [ " NPS, dimensionless Inner diameter, mm Outer diameter, mm Thickness, mm\n", "0 0.50 18.18 21.34 1.58\n", "1 0.75 22.71 26.67 1.98\n", "2 1.00 28.48 33.40 2.46\n", "3 1.25 35.92 42.16 3.12\n", "4 1.50 41.10 48.26 3.58\n", "5 2.00 51.39 60.33 4.47\n", "6 2.50 62.21 73.03 5.41\n", "7 3.00 75.74 88.90 6.58\n", "8 4.00 97.38 114.30 8.46\n", "9 5.00 120.36 141.30 10.47\n", "10 6.00 143.34 168.28 12.47\n", "11 8.00 186.62 219.08 16.23\n", "12 10.00 232.61 273.05 20.22\n", "13 12.00 275.89 323.85 23.98\n", "14 14.00 302.92 355.60 26.34\n", "15 16.00 346.20 406.40 30.10\n", "16 18.00 389.48 457.20 33.86\n", "17 20.00 432.76 508.00 37.62\n", "18 22.00 476.00 558.80 41.40\n", "19 24.00 519.28 609.60 45.16\n", "20 26.00 562.56 660.40 48.92\n", "21 28.00 605.84 711.20 52.68\n", "22 30.00 649.12 762.00 56.44\n", "23 32.00 692.40 812.80 60.20\n", "24 34.00 735.64 863.60 63.98\n", "25 36.00 778.92 914.40 67.74\n", "26 42.00 908.76 1066.80 79.02" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "## Schedule DR11F2619SI" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
00.5017.4821.341.93
10.7521.8526.672.41
21.0027.3033.403.05
31.2534.4842.163.84
41.5039.4848.264.39
52.0049.3560.335.49
62.5059.7773.036.63
73.0072.7488.908.08
84.0093.52114.3010.39
95.00115.60141.3012.85
106.00137.70168.2815.29
118.00179.26219.0819.91
1210.00223.41273.0524.82
1312.00264.97323.8529.44
1414.00290.94355.6032.33
1516.00332.48406.4036.96
1618.00374.10457.2041.55
1720.00415.64508.0046.18
1822.00457.20558.8050.80
1924.00498.76609.6055.42
2026.00540.30660.4060.05
2128.00586.74711.2062.23
2230.00623.46762.0069.27
2332.00665.02812.8073.89
2434.00706.58863.6078.51
2536.00748.14914.4083.13
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" ], "text/plain": [ " NPS, dimensionless Inner diameter, mm Outer diameter, mm Thickness, mm\n", "0 0.50 17.48 21.34 1.93\n", "1 0.75 21.85 26.67 2.41\n", "2 1.00 27.30 33.40 3.05\n", "3 1.25 34.48 42.16 3.84\n", "4 1.50 39.48 48.26 4.39\n", "5 2.00 49.35 60.33 5.49\n", "6 2.50 59.77 73.03 6.63\n", "7 3.00 72.74 88.90 8.08\n", "8 4.00 93.52 114.30 10.39\n", "9 5.00 115.60 141.30 12.85\n", "10 6.00 137.70 168.28 15.29\n", "11 8.00 179.26 219.08 19.91\n", "12 10.00 223.41 273.05 24.82\n", "13 12.00 264.97 323.85 29.44\n", "14 14.00 290.94 355.60 32.33\n", "15 16.00 332.48 406.40 36.96\n", "16 18.00 374.10 457.20 41.55\n", "17 20.00 415.64 508.00 46.18\n", "18 22.00 457.20 558.80 50.80\n", "19 24.00 498.76 609.60 55.42\n", "20 26.00 540.30 660.40 60.05\n", "21 28.00 586.74 711.20 62.23\n", "22 30.00 623.46 762.00 69.27\n", "23 32.00 665.02 812.80 73.89\n", "24 34.00 706.58 863.60 78.51\n", "25 36.00 748.14 914.40 83.13" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "## Schedule DR9F2619SI" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
00.5016.6221.342.36
10.7520.7326.672.97
21.0025.9833.403.71
31.2532.8242.164.67
41.5037.5448.265.36
52.0046.9160.336.71
62.5056.8373.038.10
73.0069.1488.909.88
84.0088.90114.3012.70
95.00109.90141.3015.70
106.00130.90168.2818.69
118.00170.42219.0824.33
1210.00212.39273.0530.33
1312.00251.87323.8535.99
1414.00276.56355.6039.52
1516.00316.08406.4045.16
1618.00355.60457.2050.80
1720.00395.12508.0056.44
1822.00434.64558.8062.08
1924.00474.12609.6067.74
2026.00513.64660.4073.38
2128.00553.16711.2079.02
2230.00592.68762.0084.66
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" ], "text/plain": [ " NPS, dimensionless Inner diameter, mm Outer diameter, mm Thickness, mm\n", "0 0.50 16.62 21.34 2.36\n", "1 0.75 20.73 26.67 2.97\n", "2 1.00 25.98 33.40 3.71\n", "3 1.25 32.82 42.16 4.67\n", "4 1.50 37.54 48.26 5.36\n", "5 2.00 46.91 60.33 6.71\n", "6 2.50 56.83 73.03 8.10\n", "7 3.00 69.14 88.90 9.88\n", "8 4.00 88.90 114.30 12.70\n", "9 5.00 109.90 141.30 15.70\n", "10 6.00 130.90 168.28 18.69\n", "11 8.00 170.42 219.08 24.33\n", "12 10.00 212.39 273.05 30.33\n", "13 12.00 251.87 323.85 35.99\n", "14 14.00 276.56 355.60 39.52\n", "15 16.00 316.08 406.40 45.16\n", "16 18.00 355.60 457.20 50.80\n", "17 20.00 395.12 508.00 56.44\n", "18 22.00 434.64 558.80 62.08\n", "19 24.00 474.12 609.60 67.74\n", "20 26.00 513.64 660.40 73.38\n", "21 28.00 553.16 711.20 79.02\n", "22 30.00 592.68 762.00 84.66" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "## Schedule DR73F2619SI" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
00.5015.5021.342.92
10.7519.3526.673.66
21.0024.2633.404.57
31.2530.6242.165.77
41.5035.0648.266.60
52.0043.8160.338.26
62.5053.0373.0310.00
73.0064.5688.9012.17
84.0083.00114.3015.65
95.00102.58141.3019.36
106.00122.16168.2823.06
118.00159.04219.0830.02
1210.00198.23273.0537.41
1312.00235.11323.8544.37
1414.00258.16355.6048.72
1516.00295.04406.4055.68
1618.00331.92457.2062.64
1720.00368.80508.0069.60
1822.00405.68558.8076.56
1924.00442.56609.6083.52
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" ], "text/plain": [ " NPS, dimensionless Inner diameter, mm Outer diameter, mm Thickness, mm\n", "0 0.50 15.50 21.34 2.92\n", "1 0.75 19.35 26.67 3.66\n", "2 1.00 24.26 33.40 4.57\n", "3 1.25 30.62 42.16 5.77\n", "4 1.50 35.06 48.26 6.60\n", "5 2.00 43.81 60.33 8.26\n", "6 2.50 53.03 73.03 10.00\n", "7 3.00 64.56 88.90 12.17\n", "8 4.00 83.00 114.30 15.65\n", "9 5.00 102.58 141.30 19.36\n", "10 6.00 122.16 168.28 23.06\n", "11 8.00 159.04 219.08 30.02\n", "12 10.00 198.23 273.05 37.41\n", "13 12.00 235.11 323.85 44.37\n", "14 14.00 258.16 355.60 48.72\n", "15 16.00 295.04 406.40 55.68\n", "16 18.00 331.92 457.20 62.64\n", "17 20.00 368.80 508.00 69.60\n", "18 22.00 405.68 558.80 76.56\n", "19 24.00 442.56 609.60 83.52" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "## Schedule DR7F2619SI" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
00.5015.2421.343.05
10.7519.0526.673.81
21.0023.8433.404.78
31.2530.1242.166.02
41.5034.5048.266.88
52.0043.1160.338.61
62.5052.1773.0310.43
73.0063.5088.9012.70
84.0081.64114.3016.33
95.00100.92141.3020.19
106.00120.22168.2824.03
118.00156.50219.0831.29
1210.00195.03273.0539.01
1312.00231.35323.8546.25
1414.00254.00355.6050.80
1516.00290.28406.4058.06
1618.00326.60457.2065.30
1720.00362.86508.0072.57
1822.00399.14558.8079.83
1924.00435.40609.6087.10
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" ], "text/plain": [ " NPS, dimensionless Inner diameter, mm Outer diameter, mm Thickness, mm\n", "0 0.50 15.24 21.34 3.05\n", "1 0.75 19.05 26.67 3.81\n", "2 1.00 23.84 33.40 4.78\n", "3 1.25 30.12 42.16 6.02\n", "4 1.50 34.50 48.26 6.88\n", "5 2.00 43.11 60.33 8.61\n", "6 2.50 52.17 73.03 10.43\n", "7 3.00 63.50 88.90 12.70\n", "8 4.00 81.64 114.30 16.33\n", "9 5.00 100.92 141.30 20.19\n", "10 6.00 120.22 168.28 24.03\n", "11 8.00 156.50 219.08 31.29\n", "12 10.00 195.03 273.05 39.01\n", "13 12.00 231.35 323.85 46.25\n", "14 14.00 254.00 355.60 50.80\n", "15 16.00 290.28 406.40 58.06\n", "16 18.00 326.60 457.20 65.30\n", "17 20.00 362.86 508.00 72.57\n", "18 22.00 399.14 558.80 79.83\n", "19 24.00 435.40 609.60 87.10" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "## Schedule DR325F2619IPS" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
04107.2896114.30003.5052
15132.6134141.30024.3434
26157.9118168.27505.1816
38205.6130219.07506.7310
410256.2352273.05008.4074
512303.9364323.85009.9568
614333.7052355.600010.9474
716381.4064406.400012.4968
818429.0568457.200014.0716
920476.7580508.000015.6210
1022524.4084558.800017.1958
1124572.1096609.600018.7452
1226619.7600660.400020.3200
1328667.4104711.200021.8948
1430715.1116762.000023.4442
1532762.7620812.800025.0190
1634810.4632863.600026.5684
1736858.1136914.400028.1432
18421001.16641066.800032.8168
19481144.16841219.200037.5158
20541287.17041371.600042.2148
21631501.74961600.200049.2252
22651549.40001651.000050.8000
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" ], "text/plain": [ " NPS, dimensionless Inner diameter, mm Outer diameter, mm Thickness, mm\n", "0 4 107.2896 114.3000 3.5052\n", "1 5 132.6134 141.3002 4.3434\n", "2 6 157.9118 168.2750 5.1816\n", "3 8 205.6130 219.0750 6.7310\n", "4 10 256.2352 273.0500 8.4074\n", "5 12 303.9364 323.8500 9.9568\n", "6 14 333.7052 355.6000 10.9474\n", "7 16 381.4064 406.4000 12.4968\n", "8 18 429.0568 457.2000 14.0716\n", "9 20 476.7580 508.0000 15.6210\n", "10 22 524.4084 558.8000 17.1958\n", "11 24 572.1096 609.6000 18.7452\n", "12 26 619.7600 660.4000 20.3200\n", "13 28 667.4104 711.2000 21.8948\n", "14 30 715.1116 762.0000 23.4442\n", "15 32 762.7620 812.8000 25.0190\n", "16 34 810.4632 863.6000 26.5684\n", "17 36 858.1136 914.4000 28.1432\n", "18 42 1001.1664 1066.8000 32.8168\n", "19 48 1144.1684 1219.2000 37.5158\n", "20 54 1287.1704 1371.6000 42.2148\n", "21 63 1501.7496 1600.2000 49.2252\n", "22 65 1549.4000 1651.0000 50.8000" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "## Schedule DR26F2619IPS" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
04105.5116114.30004.3942
15130.4290141.30025.4356
26155.3210168.27506.4770
38202.2094219.07508.4328
410252.0696273.050010.4902
512298.9580323.850012.4460
614328.2696355.600013.6652
716375.1580406.400015.6210
818422.0464457.200017.5768
920468.9348508.000019.5326
1022515.8232558.800021.4884
1124562.7116609.600023.4442
1226609.6000660.400025.4000
1328656.4884711.200027.3558
1430703.3768762.000029.3116
1532750.2652812.800031.2674
1634797.1536863.600033.2232
1736844.0420914.400035.1790
1842984.75801066.800041.0210
19481125.42321219.200046.8884
20541266.08841371.600052.7558
21631477.11161600.200061.5442
22651524.00001651.000063.5000
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" ], "text/plain": [ " NPS, dimensionless Inner diameter, mm Outer diameter, mm Thickness, mm\n", "0 4 105.5116 114.3000 4.3942\n", "1 5 130.4290 141.3002 5.4356\n", "2 6 155.3210 168.2750 6.4770\n", "3 8 202.2094 219.0750 8.4328\n", "4 10 252.0696 273.0500 10.4902\n", "5 12 298.9580 323.8500 12.4460\n", "6 14 328.2696 355.6000 13.6652\n", "7 16 375.1580 406.4000 15.6210\n", "8 18 422.0464 457.2000 17.5768\n", "9 20 468.9348 508.0000 19.5326\n", "10 22 515.8232 558.8000 21.4884\n", "11 24 562.7116 609.6000 23.4442\n", "12 26 609.6000 660.4000 25.4000\n", "13 28 656.4884 711.2000 27.3558\n", "14 30 703.3768 762.0000 29.3116\n", "15 32 750.2652 812.8000 31.2674\n", "16 34 797.1536 863.6000 33.2232\n", "17 36 844.0420 914.4000 35.1790\n", "18 42 984.7580 1066.8000 41.0210\n", "19 48 1125.4232 1219.2000 46.8884\n", "20 54 1266.0884 1371.6000 52.7558\n", "21 63 1477.1116 1600.2000 61.5442\n", "22 65 1524.0000 1651.0000 63.5000" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "## Schedule DR21F2619IPS" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
02.566.065473.02503.4798
13.080.416488.90004.2418
24.0103.4288114.30005.4356
35.0127.8382141.30026.7310
46.0152.2730168.27508.0010
58.0198.1962219.075010.4394
610.0247.0404273.050013.0048
712.0293.0144323.850015.4178
814.0321.7164355.600016.9418
916.0367.6904406.400019.3548
1018.0413.6644457.200021.7678
1120.0459.6384508.000024.1808
1222.0505.5616558.800026.6192
1324.0551.5356609.600029.0322
1426.0597.5096660.400031.4452
1528.0643.4836711.200033.8582
1630.0689.4068762.000036.2966
1732.0735.3808812.800038.7096
1834.0781.3548863.600041.1226
1936.0827.3288914.400043.5356
2042.0965.20001066.800050.8000
2148.01103.07121219.200058.0644
2254.01240.99321371.600065.3034
2363.01447.80001600.200076.2000
2465.01493.77401651.000078.6130
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" ], "text/plain": [ " NPS, dimensionless Inner diameter, mm Outer diameter, mm Thickness, mm\n", "0 2.5 66.0654 73.0250 3.4798\n", "1 3.0 80.4164 88.9000 4.2418\n", "2 4.0 103.4288 114.3000 5.4356\n", "3 5.0 127.8382 141.3002 6.7310\n", "4 6.0 152.2730 168.2750 8.0010\n", "5 8.0 198.1962 219.0750 10.4394\n", "6 10.0 247.0404 273.0500 13.0048\n", "7 12.0 293.0144 323.8500 15.4178\n", "8 14.0 321.7164 355.6000 16.9418\n", "9 16.0 367.6904 406.4000 19.3548\n", "10 18.0 413.6644 457.2000 21.7678\n", "11 20.0 459.6384 508.0000 24.1808\n", "12 22.0 505.5616 558.8000 26.6192\n", "13 24.0 551.5356 609.6000 29.0322\n", "14 26.0 597.5096 660.4000 31.4452\n", "15 28.0 643.4836 711.2000 33.8582\n", "16 30.0 689.4068 762.0000 36.2966\n", "17 32.0 735.3808 812.8000 38.7096\n", "18 34.0 781.3548 863.6000 41.1226\n", "19 36.0 827.3288 914.4000 43.5356\n", "20 42.0 965.2000 1066.8000 50.8000\n", "21 48.0 1103.0712 1219.2000 58.0644\n", "22 54.0 1240.9932 1371.6000 65.3034\n", "23 63.0 1447.8000 1600.2000 76.2000\n", "24 65.0 1493.7740 1651.0000 78.6130" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "## Schedule DR17F2619IPS" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
02.053.213060.32503.5560
12.564.439873.02504.2926
23.078.435288.90005.2324
34.0100.8380114.30006.7310
45.0124.6886141.30028.3058
56.0148.4630168.27509.9060
68.0193.3194219.075012.8778
710.0240.9444273.050016.0528
812.0285.7500323.850019.0500
914.0313.7408355.600020.9296
1016.0358.5972406.400023.9014
1118.0403.4028457.200026.8986
1220.0448.2592508.000029.8704
1322.0493.0648558.800032.8676
1424.0537.8704609.600035.8648
1526.0582.7268660.400038.8366
1628.0627.5324711.200041.8338
1730.0672.3380762.000044.8310
1832.0717.1944812.800047.8028
1934.0762.0000863.600050.8000
2036.0806.8056914.400053.7972
2142.0941.27321066.800062.7634
2248.01075.74081219.200071.7296
2354.01210.25921371.600080.6704
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" ], "text/plain": [ " NPS, dimensionless Inner diameter, mm Outer diameter, mm Thickness, mm\n", "0 2.0 53.2130 60.3250 3.5560\n", "1 2.5 64.4398 73.0250 4.2926\n", "2 3.0 78.4352 88.9000 5.2324\n", "3 4.0 100.8380 114.3000 6.7310\n", "4 5.0 124.6886 141.3002 8.3058\n", "5 6.0 148.4630 168.2750 9.9060\n", "6 8.0 193.3194 219.0750 12.8778\n", "7 10.0 240.9444 273.0500 16.0528\n", "8 12.0 285.7500 323.8500 19.0500\n", "9 14.0 313.7408 355.6000 20.9296\n", "10 16.0 358.5972 406.4000 23.9014\n", "11 18.0 403.4028 457.2000 26.8986\n", "12 20.0 448.2592 508.0000 29.8704\n", "13 22.0 493.0648 558.8000 32.8676\n", "14 24.0 537.8704 609.6000 35.8648\n", "15 26.0 582.7268 660.4000 38.8366\n", "16 28.0 627.5324 711.2000 41.8338\n", "17 30.0 672.3380 762.0000 44.8310\n", "18 32.0 717.1944 812.8000 47.8028\n", "19 34.0 762.0000 863.6000 50.8000\n", "20 36.0 806.8056 914.4000 53.7972\n", "21 42.0 941.2732 1066.8000 62.7634\n", "22 48.0 1075.7408 1219.2000 71.7296\n", "23 54.0 1210.2592 1371.6000 80.6704" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "## Schedule DR135F2619IPS" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
00.5018.186421.33601.5748
10.7522.707626.67001.9812
21.0028.473433.40102.4638
31.2535.915642.16403.1242
41.5041.097248.26003.5814
52.0051.384260.32504.4704
62.5062.204673.02505.4102
73.0075.742888.90006.5786
84.0097.3836114.30008.4582
95.00120.3706141.300210.4648
106.00143.3322168.275012.4714
118.00186.6138219.075016.2306
1210.00232.6132273.050020.2184
1312.00275.8948323.850023.9776
1414.00302.9204355.600026.3398
1516.00346.2020406.400030.0990
1618.00389.4836457.200033.8582
1720.00432.7652508.000037.6174
1822.00475.9960558.800041.4020
1924.00519.2776609.600045.1612
2026.00562.5592660.400048.9204
2128.00605.8408711.200052.6796
2230.00649.1224762.000056.4388
2332.00692.4040812.800060.1980
2434.00735.6348863.600063.9826
2536.00778.9164914.400067.7418
2642.00908.76121066.800079.0194
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" ], "text/plain": [ " NPS, dimensionless Inner diameter, mm Outer diameter, mm Thickness, mm\n", "0 0.50 18.1864 21.3360 1.5748\n", "1 0.75 22.7076 26.6700 1.9812\n", "2 1.00 28.4734 33.4010 2.4638\n", "3 1.25 35.9156 42.1640 3.1242\n", "4 1.50 41.0972 48.2600 3.5814\n", "5 2.00 51.3842 60.3250 4.4704\n", "6 2.50 62.2046 73.0250 5.4102\n", "7 3.00 75.7428 88.9000 6.5786\n", "8 4.00 97.3836 114.3000 8.4582\n", "9 5.00 120.3706 141.3002 10.4648\n", "10 6.00 143.3322 168.2750 12.4714\n", "11 8.00 186.6138 219.0750 16.2306\n", "12 10.00 232.6132 273.0500 20.2184\n", "13 12.00 275.8948 323.8500 23.9776\n", "14 14.00 302.9204 355.6000 26.3398\n", "15 16.00 346.2020 406.4000 30.0990\n", "16 18.00 389.4836 457.2000 33.8582\n", "17 20.00 432.7652 508.0000 37.6174\n", "18 22.00 475.9960 558.8000 41.4020\n", "19 24.00 519.2776 609.6000 45.1612\n", "20 26.00 562.5592 660.4000 48.9204\n", "21 28.00 605.8408 711.2000 52.6796\n", "22 30.00 649.1224 762.0000 56.4388\n", "23 32.00 692.4040 812.8000 60.1980\n", "24 34.00 735.6348 863.6000 63.9826\n", "25 36.00 778.9164 914.4000 67.7418\n", "26 42.00 908.7612 1066.8000 79.0194" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "## Schedule DR11F2619IPS" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
00.5017.475221.33601.9304
10.7521.844026.67002.4130
21.0027.305033.40103.0480
31.2534.493242.16403.8354
41.5039.471648.26004.3942
52.0049.352260.32505.4864
62.5059.766273.02506.6294
73.0072.745688.90008.0772
84.0093.5228114.300010.3886
95.00115.5954141.300212.8524
106.00137.6934168.275015.2908
118.00179.2478219.075019.9136
1210.00223.4184273.050024.8158
1312.00264.9728323.850029.4386
1414.00290.9316355.600032.3342
1516.00332.4860406.400036.9570
1618.00374.0912457.200041.5544
1720.00415.6456508.000046.1772
1822.00457.2000558.800050.8000
1924.00498.7544609.600055.4228
2026.00540.3088660.400060.0456
2128.00581.9140711.200064.6430
2230.00623.4684762.000069.2658
2332.00665.0228812.800073.8886
2434.00706.5772863.600078.5114
2536.00748.1316914.400083.1342
\n", "
" ], "text/plain": [ " NPS, dimensionless Inner diameter, mm Outer diameter, mm Thickness, mm\n", "0 0.50 17.4752 21.3360 1.9304\n", "1 0.75 21.8440 26.6700 2.4130\n", "2 1.00 27.3050 33.4010 3.0480\n", "3 1.25 34.4932 42.1640 3.8354\n", "4 1.50 39.4716 48.2600 4.3942\n", "5 2.00 49.3522 60.3250 5.4864\n", "6 2.50 59.7662 73.0250 6.6294\n", "7 3.00 72.7456 88.9000 8.0772\n", "8 4.00 93.5228 114.3000 10.3886\n", "9 5.00 115.5954 141.3002 12.8524\n", "10 6.00 137.6934 168.2750 15.2908\n", "11 8.00 179.2478 219.0750 19.9136\n", "12 10.00 223.4184 273.0500 24.8158\n", "13 12.00 264.9728 323.8500 29.4386\n", "14 14.00 290.9316 355.6000 32.3342\n", "15 16.00 332.4860 406.4000 36.9570\n", "16 18.00 374.0912 457.2000 41.5544\n", "17 20.00 415.6456 508.0000 46.1772\n", "18 22.00 457.2000 558.8000 50.8000\n", "19 24.00 498.7544 609.6000 55.4228\n", "20 26.00 540.3088 660.4000 60.0456\n", "21 28.00 581.9140 711.2000 64.6430\n", "22 30.00 623.4684 762.0000 69.2658\n", "23 32.00 665.0228 812.8000 73.8886\n", "24 34.00 706.5772 863.6000 78.5114\n", "25 36.00 748.1316 914.4000 83.1342" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "## Schedule DR9F2619IPS" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
00.5016.611621.33602.3622
10.7520.726426.67002.9718
21.0025.984233.40103.7084
31.2532.816842.16404.6736
41.5037.541248.26005.3594
52.0046.913860.32506.7056
62.5056.819873.02508.1026
73.0069.138888.90009.8806
84.0088.9000114.300012.7000
95.00109.9058141.300215.6972
106.00130.8862168.275018.6944
118.00170.4086219.075024.3332
1210.00212.3948273.050030.3276
1312.00251.8664323.850035.9918
1414.00276.5552355.600039.5224
1516.00316.0776406.400045.1612
1618.00355.6000457.200050.8000
1720.00395.1224508.000056.4388
1822.00434.6448558.800062.0776
1924.00474.1164609.600067.7418
2026.00513.6388660.400073.3806
2128.00553.1612711.200079.0194
2230.00592.6836762.000084.6582
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" ], "text/plain": [ " NPS, dimensionless Inner diameter, mm Outer diameter, mm Thickness, mm\n", "0 0.50 16.6116 21.3360 2.3622\n", "1 0.75 20.7264 26.6700 2.9718\n", "2 1.00 25.9842 33.4010 3.7084\n", "3 1.25 32.8168 42.1640 4.6736\n", "4 1.50 37.5412 48.2600 5.3594\n", "5 2.00 46.9138 60.3250 6.7056\n", "6 2.50 56.8198 73.0250 8.1026\n", "7 3.00 69.1388 88.9000 9.8806\n", "8 4.00 88.9000 114.3000 12.7000\n", "9 5.00 109.9058 141.3002 15.6972\n", "10 6.00 130.8862 168.2750 18.6944\n", "11 8.00 170.4086 219.0750 24.3332\n", "12 10.00 212.3948 273.0500 30.3276\n", "13 12.00 251.8664 323.8500 35.9918\n", "14 14.00 276.5552 355.6000 39.5224\n", "15 16.00 316.0776 406.4000 45.1612\n", "16 18.00 355.6000 457.2000 50.8000\n", "17 20.00 395.1224 508.0000 56.4388\n", "18 22.00 434.6448 558.8000 62.0776\n", "19 24.00 474.1164 609.6000 67.7418\n", "20 26.00 513.6388 660.4000 73.3806\n", "21 28.00 553.1612 711.2000 79.0194\n", "22 30.00 592.6836 762.0000 84.6582" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "## Schedule DR73F2619IPS" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
00.5015.494021.33602.9210
10.7519.354826.67003.6576
21.0024.257033.40104.5720
31.2530.632442.16405.7658
41.5035.052048.26006.6040
52.0043.815060.32508.2550
62.5053.009873.025010.0076
73.0064.566888.900012.1666
84.0083.0072114.300015.6464
95.00102.5906141.300219.3548
106.00122.1486168.275023.0632
118.00159.0294219.075030.0228
1210.00198.2216273.050037.4142
1312.00235.1024323.850044.3738
1414.00258.1656355.600048.7172
1516.00295.0464406.400055.6768
1618.00331.9272457.200062.6364
1720.00368.8080508.000069.5960
1822.00405.6888558.800076.5556
1924.00442.5696609.600083.5152
\n", "
" ], "text/plain": [ " NPS, dimensionless Inner diameter, mm Outer diameter, mm Thickness, mm\n", "0 0.50 15.4940 21.3360 2.9210\n", "1 0.75 19.3548 26.6700 3.6576\n", "2 1.00 24.2570 33.4010 4.5720\n", "3 1.25 30.6324 42.1640 5.7658\n", "4 1.50 35.0520 48.2600 6.6040\n", "5 2.00 43.8150 60.3250 8.2550\n", "6 2.50 53.0098 73.0250 10.0076\n", "7 3.00 64.5668 88.9000 12.1666\n", "8 4.00 83.0072 114.3000 15.6464\n", "9 5.00 102.5906 141.3002 19.3548\n", "10 6.00 122.1486 168.2750 23.0632\n", "11 8.00 159.0294 219.0750 30.0228\n", "12 10.00 198.2216 273.0500 37.4142\n", "13 12.00 235.1024 323.8500 44.3738\n", "14 14.00 258.1656 355.6000 48.7172\n", "15 16.00 295.0464 406.4000 55.6768\n", "16 18.00 331.9272 457.2000 62.6364\n", "17 20.00 368.8080 508.0000 69.5960\n", "18 22.00 405.6888 558.8000 76.5556\n", "19 24.00 442.5696 609.6000 83.5152" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "## Schedule DR7F2619IPS" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
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NPS, dimensionlessInner diameter, mmOuter diameter, mmThickness, mm
00.5015.240021.33603.0480
10.7519.050026.67003.8100
21.0023.850633.40104.7752
31.2530.124442.16406.0198
41.5034.493248.26006.8834
52.0043.103860.32508.6106
62.5052.146273.025010.4394
73.0063.500088.900012.7000
84.0081.6356114.300016.3322
95.00100.9142141.300220.1930
106.00120.2182168.275024.0284
118.00156.4894219.075031.2928
1210.00195.0212273.050039.0144
1312.00231.3432323.850046.2534
1414.00254.0000355.600050.8000
1516.00290.2712406.400058.0644
1618.00326.5932457.200065.3034
1720.00362.8644508.000072.5678
1822.00399.1356558.800079.8322
1924.00435.4068609.600087.0966
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" ], "text/plain": [ " NPS, dimensionless Inner diameter, mm Outer diameter, mm Thickness, mm\n", "0 0.50 15.2400 21.3360 3.0480\n", "1 0.75 19.0500 26.6700 3.8100\n", "2 1.00 23.8506 33.4010 4.7752\n", "3 1.25 30.1244 42.1640 6.0198\n", "4 1.50 34.4932 48.2600 6.8834\n", "5 2.00 43.1038 60.3250 8.6106\n", "6 2.50 52.1462 73.0250 10.4394\n", "7 3.00 63.5000 88.9000 12.7000\n", "8 4.00 81.6356 114.3000 16.3322\n", "9 5.00 100.9142 141.3002 20.1930\n", "10 6.00 120.2182 168.2750 24.0284\n", "11 8.00 156.4894 219.0750 31.2928\n", "12 10.00 195.0212 273.0500 39.0144\n", "13 12.00 231.3432 323.8500 46.2534\n", "14 14.00 254.0000 355.6000 50.8000\n", "15 16.00 290.2712 406.4000 58.0644\n", "16 18.00 326.5932 457.2000 65.3034\n", "17 20.00 362.8644 508.0000 72.5678\n", "18 22.00 399.1356 558.8000 79.8322\n", "19 24.00 435.4068 609.6000 87.0966" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for name, values in schedule_lookup.items():\n", "\n", " display(Markdown(\"## Schedule %s\" %(name)))\n", " to_df = {'NPS, dimensionless': values[0],\n", " 'Inner diameter, mm': values[1], 'Outer diameter, mm': values[2], 'Thickness, mm': values[3]}\n", " display(pd.DataFrame(to_df))" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.5" } }, "nbformat": 4, "nbformat_minor": 1 } fluids-1.0.22/docs/modules.rst0000644000175000017500000000010514302004506015530 0ustar nileshnileshAPI Reference ============= .. toctree:: :maxdepth: 4 fluids fluids-1.0.22/docs/fluids.fittings.rst0000644000175000017500000000046414302004506017204 0ustar nileshnileshFittings pressure drop (fluids.fittings) ======================================== .. meta:: :description: Calculate loss coefficients for entrances, exits, bends, contractions, expansions, tees, valves, and all the fittings in the Hooper 2K and Darby 3K methods. .. automodule:: fluids.fittings fluids-1.0.22/docs/fittings/0000755000175000017500000000000014302004506015161 5ustar nileshnileshfluids-1.0.22/docs/fittings/flush_mounted_beveled_orifice_entrance.png0000644000175000017500000003523414302004506025617 0ustar nileshnilesh‰PNG  IHDR£Œ½wBsBIT|dˆ IDATxœíÝwxTUþÇñϤ„„„&ˆ¨H(‹°R¤KÁH± KYqW¤‰(î£ ?W”* «»¸Ø@‘²*Ez‘Î ‚ŠŠ,Òé÷÷OÆ )ÌäN_Ï“Ç™3wî|Gcîçžsî¹Ã0 n8þ¼*V¬èÒ£ÄÄD›*ø£ » €ÿp8v—„¸ððÂÜFøxán#|¼ð·>Þ@ø€Ûo |Àm„€7>à6ÂÀpáà „¸ððÂÜFøxán#|¼ð·>Þ@ø€Ûo |Àm„€7>à6ÂÀpáà „¸ððÂÜFøxáXŠðÐû0‹ð>f>àÂÀ,Âf>àÂÀ,Âf>àÂÀ,Âf>àÂÀ,Âf>àÂÀ,Âf>àÂÀ,Âf>àÂÀ,Âf>àÂÀ,ÂG1]¸pA·Þz«/^lw)–âÆr³8’S\\œúöí«‡zHO<ñ„ÒÒÒì.Éô|Ì"|˜0qâDõêÕKo¿ý¶Ú´i£ÿýïv—Tâ³&iþüùz衇ôÕW_©I“&Z·nÝeàÓ&…††êã?Ö#<¢óçÏ+!!AcÇŽUNNŽÝ¥•z>f>¼ 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nileshnileshSolved Fluids Mechanics Problems ================================ A collection of problems from Crane TP 410 have been solved using the fluids library. These are industrially relevant problems. Crane TP 410 is used extensively as a source in fluids, although often there are better correlations that are implemented and chosen as default methods. All problems include a description of the problems, but Crane TP 410 includes schematics that are not included here. A copy can be obtained from your local library or bought `here `_. These problems often make use of `thermo `_ and `pint `_ so make sure you have them installed! More details on the unit handling library can be found at :doc:`fluids.units `. .. toctree:: Examples/Crane TP 410 Solved Problems/7.1 Smooth Pipe (Plastic).ipynb Examples/Crane TP 410 Solved Problems/7.2 L, L over D and K from Kv for Conventional Type Valves.ipynb Examples/Crane TP 410 Solved Problems/7.3 L, L over D, K, and Kv for Conventional Type Valves.ipynb Examples/Crane TP 410 Solved Problems/7.4 Venturi Type Valves.ipynb Examples/Crane TP 410 Solved Problems/7.5 Lift Check Valves.ipynb Examples/Crane TP 410 Solved Problems/7.6 Reduced Port Ball Valve.ipynb Examples/Crane TP 410 Solved Problems/7.7 Laminar flow in Valves, Fittings, and Pipe - System from Example 7.6.ipynb Examples/Crane TP 410 Solved Problems/7.8 Laminar flow in Valves, Fittings, and Pipe - SAE oil through a pipe and globe valve.ipynb Examples/Crane TP 410 Solved Problems/7.9 Laminar Flow in Valves, Fittings, and Pipe.ipynb Examples/Crane TP 410 Solved Problems/7.10 Piping Systems - Steam.ipynb Examples/Crane TP 410 Solved Problems/7.11 Flat heating Coils - Water.ipynb Examples/Crane TP 410 Solved Problems/7.12 Orifice Size for Given Pressure Drop and Velocity.ipynb Examples/Crane TP 410 Solved Problems/7.13 Flow given in English Units - Oil.ipynb Examples/Crane TP 410 Solved Problems/7.14 Bernoulli's Theorem-Water.ipynb Examples/Crane TP 410 Solved Problems/7.15 Power Required for Pumping.ipynb Examples/Crane TP 410 Solved Problems/7.16 Air Lines.ipynb Examples/Crane TP 410 Solved Problems/7.17 Sizing of Pump for Oil Pipelines.ipynb Examples/Crane TP 410 Solved Problems/7.18 Gas.ipynb Examples/Crane TP 410 Solved Problems/7.19 Water.ipynb Examples/Crane TP 410 Solved Problems/7.20 Steam at Sonic Velocity.ipynb Examples/Crane TP 410 Solved Problems/7.21 Gases at Sonic Velocity.ipynb Examples/Crane TP 410 Solved Problems/7.22 Compressible Fluids at Subsonic Velocity.ipynb Examples/Crane TP 410 Solved Problems/7.23 Flow Through Orifice Meters.ipynb Examples/Crane TP 410 Solved Problems/7.24 Laminar Flow.ipynb Examples/Crane TP 410 Solved Problems/7.25 Rectangular Duct - Application of Hydraulic Radius to Flow Problems.ipynb Examples/Crane TP 410 Solved Problems/7.26 Pipe Partially Filled with Flowing Water.ipynb Examples/Crane TP 410 Solved Problems/7.27 Sizing Control Valves for Liquid Service.ipynb Examples/Crane TP 410 Solved Problems/7.28 Checking for Choked Flow Conditions in a Control Valve.ipynb Examples/Crane TP 410 Solved Problems/7.29 Orifice Flow Rate Calculation.ipynb Examples/Crane TP 410 Solved Problems/7.30 Nozzle Sizing Calculations.ipynb Examples/Crane TP 410 Solved Problems/7.32 NPSH Available Calculation.ipynb Examples/Crane TP 410 Solved Problems/7.33 Pump Affinity Rules.ipynb Examples/Crane TP 410 Solved Problems/7.34 Pump Power and Operating Cost.ipynb Examples/Crane TP 410 Solved Problems/7.35 Hydraulic Resistance of a Converging Tee.ipynb Examples/Crane TP 410 Solved Problems/7.36 Hydraulic Resistance of a Diverging Wye.ipynbfluids-1.0.22/docs/fluids.saltation.rst0000644000175000017500000000034414302004506017350 0ustar nileshnileshPneumatic conveying (fluids.saltation) ====================================== .. meta:: :description: Calculate the saltation velocity of entrained solid flows in a gas using Python. .. automodule:: fluids.saltation fluids-1.0.22/docs/tutorial.rst0000644000175000017500000017716514302004506015750 0ustar nileshnileshfluids tutorial =============== Importing --------- Fluids can be imported as a standalone library, or all of its functions and classes may be imported with star imports: >>> import fluids # Good practice >>> from fluids import * # Bad practice but convenient All functions are available from either the main fluids module or the submodule; i.e. both fluids.friction_factor and fluids.friction.friction_factor are valid ways of accessing a function. Design philosophy ----------------- Like all libraries, this was developed to scratch my own itches. Since its public release it has been found useful by many others, from students across the world to practicing engineers at some of the world's largest companies. The bulk of this library's API is considered stable; enhancements to functions and classes will still happen, and default methods when using a generic correlation interface may change to newer and more accurate correlations as they are published and reviewed. To the extent possible, correlations are implemented depending on the highest level parameters. The friction_factor correlation does not accept pipe diameter, velocity, viscosity, density, and roughness - it accepts Reynolds number and relative roughness. This makes the API cleaner and encourages modular design. All functions are designed to accept inputs in base SI units. However, any set of consistent units given to a function will return a consistent result; for instance, a function calculating volume doesn't care if given an input in inches or meters; the output units will be the cube of those given to it. The user is directed to unit conversion libraries such as `pint `_ to perform unit conversions if they prefer not to work in SI units. The tutorial for using it with fluids is at :doc:`fluids.units `. There are two ways to use numpy arrays with fluids. Easiest to use is a `vectorized` module, which wraps all of the fluids functions with np.vectorize. Instead of importing from fluids, the user can import from :doc:`fluids.vectorized `: >>> from fluids.vectorized import * # doctest: +SKIP >>> friction_factor(Re=[100, 1000, 10000], eD=0) # doctest: +SKIP array([0.64 , 0.064 , 0.03088295]) It is possible to switch back and forth between the namespaces with a subsequent import: >>> from fluids import * The second way is `Numba `_. This optional dependency provides the speed you expect from NumPy arrays - or better. In some cases, much better. The tutorial for using it is at :doc:`fluids.numba `, but in general use it the same way but with a different import. >>> from fluids.numba_vectorized import * # doctest: +SKIP Dimensionless numbers --------------------- More than 30 Dimensionless numbers are available in :py:mod:`fluids.core` : Calculation of :py:func:`~.Reynolds` and :py:func:`~.Prandtl` number for water flowing in a 0.01 m diameter pipe at 1.5 m/s: >>> fluids.core.Reynolds(D=0.01, rho=1000, V=1.5, mu=1E-3) 15000.0 >>> fluids.core.Prandtl(rho=1000, mu=1E-3, Cp=4200, k=0.6) 7.000000000000001 Where different parameters may be used with a dimensionless number, either a separate function is created for each or both sets of parameters are can be specified. For example, instead of specifying viscosity and density for the Reynolds number calculation, kinematic viscosity could have been used instead: >>> Reynolds(D=0.01, V=1.5, nu=1E-6) 15000.0 In the case of groups like the Fourier number, used in both heat and mass transfer, two separate functions are available, :py:func:`~.Fourier_heat` and :py:func:`~.Fourier_mass`. The heat transfer version supports specifying either the density, heat capacity, and thermal conductivity - or just the thermal diffusivity. There is no equivalent set of three parameters for the mass transfer version; it always requires mass diffusivity. >>> Fourier_heat(t=1.5, L=2, rho=1000., Cp=4000., k=0.6) 5.625e-08 >>> Fourier_heat(1.5, 2, alpha=1E-7) 3.75e-08 >>> Fourier_mass(t=1.5, L=2, D=1E-9) 3.7500000000000005e-10 Among the coded dimensionless numbers are :py:func:`~.Archimedes`, :py:func:`~.Bejan_L`, :py:func:`~.Bejan_p`, :py:func:`~.Biot`, :py:func:`~.Boiling`, :py:func:`~.Bond`, :py:func:`~.Capillary`, :py:func:`~.Cavitation`, :py:func:`~.Confinement`, :py:func:`~.Dean`, :py:func:`~.Drag`, :py:func:`~.Eckert`, :py:func:`~.Euler`, :py:func:`~.Fourier_heat`, :py:func:`~.Fourier_mass`, :py:func:`~.Froude_densimetric`, :py:func:`~.Froude`, :py:func:`~.Graetz_heat`, :py:func:`~.Grashof`, :py:func:`~.Hagen`, :py:func:`~.Jakob`, :py:func:`~.Knudsen`, :py:func:`~.Lewis`, :py:func:`~.Mach`, :py:func:`~.Nusselt`, :py:func:`~.Ohnesorge`, :py:func:`~.Peclet_heat`, :py:func:`~.Peclet_mass`, :py:func:`~.Power_number`, :py:func:`~.Prandtl`, :py:func:`~.Rayleigh`, :py:func:`~.Reynolds`, :py:func:`~.Schmidt`, :py:func:`~.Sherwood`, :py:func:`~.Stanton`, :py:func:`~.Stokes_number`, :py:func:`~.Strouhal`, :py:func:`~.Suratman`, :py:func:`~.Weber`, :py:func:`~.Morton`. Miscellaneous utilities ----------------------- More than just dimensionless groups are implemented in :py:mod:`fluids.core`. Converters between loss coefficient, L/D equivalent, length of pipe, and pressure drop are available. It is recommended to convert length/diameter equivalents and lengths of pipe at specified friction factors to loss coefficients using the :py:func:`~.K_from_L_equiv` and :py:func:`~.K_from_f` functions respectively. They can all be summed easily afterwards. >>> K_from_f(fd=0.018, L=100., D=.3) 6.0 >>> K_from_L_equiv(L_D=240, fd=0.02) 4.8 Either head loss or pressure drop can be calculated once the total loss coefficient K is known using :py:func:`~.head_from_K` or :py:func:`~.dP_from_K` respectively. Head loss does not require knowledge of the fluid's density, but pressure drop does. >>> head_from_K(K=(6+4.8), V=3) 4.955820795072732 >>> dP_from_K(K=(6+4.8), rho=1000, V=3) 48600.0 If a K value is known and desired to be converted to a L/D ratio or to an equivalent length of pipe, that calculation is available as well with :py:func:`~.L_from_K` or :py:func:`~.L_equiv_from_K` respectively: >>> L_from_K(K=6, fd=0.018, D=.3) 100.0 >>> L_equiv_from_K(3.6, fd=0.02) 180.0 Pressure and head are also convertible with the :py:func:`~.head_from_P` and :py:func:`~.P_from_head` functions: >>> head_from_P(P=98066.5, rho=1000) 10.000000000000002 >>> P_from_head(head=5., rho=800.) 39226.6 Also implemented in :py:mod:`fluids.core`. are the following: :py:func:`~.thermal_diffusivity`: >>> thermal_diffusivity(k=0.02, rho=1., Cp=1000.) 2e-05 Speed of sound in an ideal gas :py:func:`~.c_ideal_gas`: (requires temperature, isentropic exponent Cp/Cv): >>> c_ideal_gas(T=303, k=1.4, MW=28.96) 348.9820953185441 A converter between dynamic and kinematic viscosity :py:func:`~.nu_mu_converter`: >>> nu_mu_converter(rho=998., nu=1.0E-6) 0.000998 >>> nu_mu_converter(998., mu=0.000998) 1e-06 Calculation of :py:func:`~.gravity` on earth as a function of height and latitude (input in degrees and height in meters): >>> gravity(latitude=55, H=1E6) 6.729011976863571 Friction factors ---------------- Friction factor is easily calculable with :py:func:`~.friction_factor`. >>> epsilon = 1.5E-6 # m, clean steel >>> fluids.friction.friction_factor(Re=15000, eD=epsilon/0.01) 0.028087909385731864 The transition to laminar flow is implemented abruptly at Re=2040, one of the latest experimental results which is accurate to +/- 10. If the Reynolds number is in the laminar regime, the transition to a different correlation happens automatically and the well-known solution fd = 64/Re is given. >>> fluids.friction.friction_factor(Re=150) 0.4266666666666667 Friction factor in curved pipes in available as :py:func:`~.friction_factor_curved`. The curved friction factor is applicable for helices and coils, and to a lesser extent curved bends. >>> friction_factor_curved(Re=15000, Di=.01, Dc=2.5, roughness=1.5E-6) 0.029846229072776263 The critical Reynolds number for curved pipes is increased compared to straight pipe flow, and is a function of the curvature of the pipe. The preferred method to calculate the transition (used by default for the automatic regime transition) is the method of Schmidt (1967) :py:func:`~.helical_transition_Re_Schmidt`. >>> helical_transition_Re_Schmidt(Di=.01, Dc=2.5) 3948.7442097768603 Although roughness is a hard value to know without measuring it for a pipe, several hundred pipe conditions have had their roughness values measured in the literature, and they can be searched through using fuzzy matching and the functions :py:func:`~.nearest_material_roughness` and :py:func:`~.material_roughness`. >>> nearest_material_roughness('Used water piping', clean=False) 'Seamless steel tubes, Used water piping' >>> material_roughness('Seamless steel tubes, Used water piping') 0.0015 The material_roughness function can also be used directly, but in that case there is no feedback about the material which was found. >>> material_roughness('glass') 1e-05 As fuzzy string matching is a pretty terrible solution, it is encouraged to find the desired string in the `actual source code of fluids `_. There is one more way of obtaining the roughness of a clean pipe, developed by Farshad and Rieke (2006) :py:func:`~.roughness_Farshad`. It has been established that in commercial pipe, the larger the diameter, the larger the roughness. >>> roughness_Farshad('Carbon steel, bare', D=0.05) 3.529128126365038e-05 Only the following types of clean, new pipe have data available: * 'Plastic coated' * 'Carbon steel, honed bare' * 'Cr13, electropolished bare' * 'Cement lining' * 'Carbon steel, bare' * 'Fiberglass lining' * 'Cr13, bare' There is also a term called `Transmission factor`, used in many pipeline applications. It is effectively a variant on friction factor. They can be inter-converted with the :py:func:`~.transmission_factor` function. >>> transmission_factor(fd=0.0185) # calculate transmission factor 14.704292441876154 >>> transmission_factor(F=20) # calculate Darcy friction factor 0.01 Pipe schedules -------------- ASME/ANSI pipe tables from B36.10M-2004 and B36-19M-2004 are implemented in fluids.piping. Piping can be looked up based on nominal pipe size, outer diameter, or inner diameter with the :py:func:`~.nearest_pipe` function. >>> nearest_pipe(NPS=2) # returns NPS, inside diameter, outer diameter, wall thickness (2, 0.05248, 0.0603, 0.00391) When looking up by actual diameter, the nearest pipe as large or larger then requested is returned: >>> NPS, Di, Do, t = nearest_pipe(Di=0.5) >>> Di 0.57504 >>> nearest_pipe(Do=0.5) (20, 0.47781999999999997, 0.508, 0.01509) By default, the pipe schedule used for the lookup is schedule 40. Other schedules that are available are: '5', '10', '20', '30', '40', '60', '80', '100', '120', '140', '160', 'STD', 'XS', 'XXS', '5S', '10S', '40S', '80S'. >>> nearest_pipe(Do=0.5, schedule='40S') (20, 0.48894, 0.508, 0.009529999999999999) >>> nearest_pipe(Do=0.5, schedule='80') (20, 0.45562, 0.508, 0.02619) If a diameter which is larger than any pipe in the schedule is input, an exception is raised: >>> nearest_pipe(Do=1) Traceback (most recent call last): File "", line 1, in File "fluids/piping.py", line 276, in nearest_pipe raise ValueError('Pipe input is larger than max of selected schedule') ValueError: Pipe input is larger than max of selected schedule Wire gauges ----------- The construction of mechanical systems often uses the "gauge" systems, a variety of old imperial conversions between plate or wire thickness and a dimensionless number. Conversion from and to the gauge system is done by the :py:func:`~.gauge_from_t` and :py:func:`~.t_from_gauge` functions. Looking up the gauge from a wire of known diameter approximately 1.2 mm: >>> gauge_from_t(.0012) 18 The reverse conversion: >>> t_from_gauge(18) 0.001245 Other schedules are also supported: * Birmingham Wire Gauge (BWG) ranges from 0.2 (0.5 inch) to 36 (0.004 inch). * American Wire Gauge (AWG) ranges from 0.167 (0.58 inch) to 51 (0.00099 inch). These are used for electrical wires. * Steel Wire Gauge (SWG) ranges from 0.143 (0.49 inch) to 51 (0.0044 inch). Also called Washburn & Moen wire gauge, American Steel gauge, Wire Co. gauge, and Roebling wire gauge. * Music Wire Gauge (MWG) ranges from 0.167 (0.004 inch) to 46 (0.18 inch). Also called Piano Wire Gauge. * British Standard Wire Gage (BSWG) ranges from 0.143 (0.5 inch) to 51 (0.001 inch). Also called Imperial Wire Gage (IWG). * Stub's Steel Wire Gage (SSWG) ranges from 1 (0.227 inch) to 80 (0.013 inch) >>> t_from_gauge(18, schedule='AWG') 0.00102362 Tank geometry ------------- Sizing of vessels and storage tanks is implemented in an object-oriented way as :py:class:`~.TANK` in :py:mod:`fluids.geometry`. All results use the exact equations; all are documented in the many functions in :py:mod:`fluids.geometry`. >>> T1 = TANK(D=1.2, L=4, horizontal=False) >>> T1.V_total, T1.A # Total volume of the tank and its surface area (4.523893421169302, 17.34159144781566) By default, tanks are cylinders without heads. Tank heads can be specified to be conical, ellipsoidal, torispherical, guppy, or spherical. The heads can be specified independently. The diameter and length are not required; the total volume desired can be specified along with the length to diameter ratio. >>> T1 = TANK(V=10, L_over_D=0.7, sideB='conical', horizontal=False) >>> T1.L, T1.D (1.7731788548899077, 2.5331126498427254) Conical, ellipsoidal, guppy and spherical heads are all governed only by one parameter, `a`, the distance the head extends out from the main tank body. Torispherical heads are governed by two parameters `k` and `f`. If these parameters are not provided, the distance the head extends out will be 25% of the size of the tank's diameter. For torispherical heads, the distance is similar but more complicated. >>> TANK(D=10., V=500, horizontal=False, sideA='ellipsoidal', sideB='ellipsoidal', sideA_a=1, sideB_a=1) Each TANK has __repr__ implemented, to describe the tank when printed. Torispherical tanks default to the ratios specified as ASME F&D. Other standard ratios can also be used; the documentation for :py:class:`~.TANK` lists their values. Here we implement DIN 28011's ratios. >>> TANK(D=0.01, V=0.25, horizontal=False, sideA='torispherical', sideB='torispherical') >>> DIN = TANK(L=3, D=5, horizontal=False, sideA='torispherical', sideB='torispherical', sideA_f=1, sideA_k=0.1, sideB_f=1, sideB_k=0.1) >>> print(DIN) Partial volume lookups are also useful. This is useful when the height of fluid in the tank is known, but not the volume. The reverse calculation is also implemented, and useful when doing dynamic simulation and to calculate the new height after a specified volume of liquid is removed. >>> DIN.h_max 4.937742 >>> DIN.h_from_V(40) 2.376017 >>> DIN.V_from_h(4.1) 73.83841 >>> DIN.SA_from_h(2.1) 42.51740 Surface areas of the heads and the main body are available as well as the total surface area of the tank. >>> DIN.A_sideA, DIN.A_sideB, DIN.A_lateral, DIN.A (24.749677, 24.749677, 47.123889, 96.623244) Miscellaneous geometry ---------------------- In addition to sizing all sorts of tanks, helical coils are supported and so are a number of other simple calculations. Sphericity is implemented as :py:func:`~.sphericity`, requiring a calculated surface area and volume. For a cube of side length 3, the surface area is 6*a^2=54 and volume a^3=27. Its sphericity is then: >>> sphericity(A=54, V=27) 0.80599597 Aspect ratio of is implemented as :py:func:`~.aspect_ratio`; for example, a rectangle 0.2 m by 2 m: >>> aspect_ratio(.2, 2) 0.1 Circularity, a parameter used to characterize 2d images of particles, is implemented as :py:func:`~.circularity`. For a rectangle, one side length = 1, second side length = 100: >>> D1 = 1 >>> D2 = 100 >>> A = D1*D2 >>> P = 2*D1 + 2*D2 >>> circularity(A, P) 0.03079690 Atmospheric properties ---------------------- Various main classes are available to model the atmosphere, of varying accuracy. They are the US Standard Atmosphere 1976 (:py:class:`~.ATMOSPHERE_1976`), a basic but very quick model; the NRLMSISE 00 model, substantially more powerful and accurate and still the standard to this day (:py:class:`~.ATMOSPHERE_NRLMSISE00`); and two models for wind speed only, Horizontal Wind Model 1993 (:py:func:`~.hwm93`) and Horizontal Wind Model 2014 (:py:func:`~.hwm14`). The two horizontal wind models are actually fortran codes, and are not compiled automatically on installation. Solar models are :py:func:`~.earthsun_distance`, :py:func:`~.solar_position`, :py:func:`~.sunrise_sunset` and :py:func:`~.solar_irradiation`. :py:class:`~.ATMOSPHERE_1976` is the simplest model, and very suitable for basic engineering purposes. It supports atmospheric temperature, density, and pressure as a function of elevation. Optionally, a local temperature difference from earth's average can be specified to correct the model to local conditions but this is only a crude approximation. Conditions 5 km into the air: >>> atm = ATMOSPHERE_1976(Z=5000) >>> atm.T, atm.P, atm.rho (255.6755432218, 54048.2861457, 0.736428420779) The standard also specifies simplistic formulas for calculating the thermal conductivity, viscosity, speed of sound, and gravity at a given elevation: >>> atm.g, atm.mu, atm.k, atm.v_sonic (9.79124107698, 1.62824813536e-05, 0.0227319029514, 320.545519670) Those property routines are static methods, and can be used without instantiating an atmosphere object: >>> ATMOSPHERE_1976.gravity(Z=1E5) 9.5052387 >>> ATMOSPHERE_1976.sonic_velocity(T=300) 347.220809 >>> ATMOSPHERE_1976.viscosity(T=400) 2.285266e-05 >>> ATMOSPHERE_1976.thermal_conductivity(T=400) 0.03365714 :py:class:`~.ATMOSPHERE_NRLMSISE00` is the recommended model, and calculates atmospheric density, temperature, and pressure as a function of height, latitude/longitude, day of year, and seconds since start of day. The model can also take into account solar and geomagnetic disturbances which effect the atmosphere at very high elevations if more parameters are provided. It is valid up to 1000 km. This model is somewhat slow; it is a Python port of the Fortran version, created by Joshua Milas. It does not support gravity profiles or transport properties, but does calculate the composition of the atmosphere (He, O, N2, O2, Ar, H2, N2 as constituents). 1000 m elevation, 45 degrees latitude and longitude, 150th day of year, 0 seconds in: >>> atm = ATMOSPHERE_NRLMSISE00(Z=1E3, latitude=45, longitude=45, day=150) >>> atm.T, atm.P, atm.rho (285.544, 90394.44, 1.10190) The composition of the atmosphere is specified in terms of individual molecules/m^3: >>> atm.N2_density, atm.O2_density (1.7909954e+25, 4.8047035e+24) This model uses the ideal gas law to convert particle counts to mass density. Mole fractions of each species are available as well. >>> atm.components ['N2', 'O2', 'Ar', 'He', 'O', 'H', 'N'] >>> atm.zs [0.7811046, 0.2095469, 0.009343, 5.2417e-06, 0.0, 0.0, 0.0] The horizontal wind models have almost the same API, and calculate wind speed and direction as a function of elevation, latitude, longitude, day of year and time of day. hwm93 can also take as an argument local geomagnetic conditions and solar activity, but this effect was found to be so negligible it was removed from future versions of the model such as hwm14. Calculation of wind velocity, meridional (m/sec Northward) and zonal (m/sec Eastward) for 1000 m elevation, 45 degrees latitude and longitude, 150th day of year, 0 seconds in, with both models: >>> hwm93(Z=1000, latitude=45, longitude=45, day=150) # doctest: +SKIP (-0.0038965975400060415, 3.8324742317199707) >>> hwm14(Z=1000, latitude=45, longitude=45, day=150) # doctest: +SKIP (-0.9920163154602051, 0.4105832874774933) These wind velocities are only historical normals; conditions may vary year to year. The solar radiation model is based around the Sun Position Algorithm (SPA) developed by NREL; it can calculate the position of the sun in the sky at any time for any place on Earth, and can calculate how far away the sun is from Earth. The python implementation used is a slightly modified version of the Python implementation written by Tony Lorenzo and released under the BSD 3-clause license. The algorithm is published with the excellent `pvlib `_ library for solar energy modelling applications. The functions included are :py:func:`~.earthsun_distance`, :py:func:`~.sunrise_sunset`, :py:func:`~.solar_position` and :py:func:`~.solar_irradiation`. All take and/or receive datetime instances, which introduces the nightmare of time zones. All the functions have no internal way of knowing about what time zone the latitude/longitude inputs are in. They only calculate the position of earth, and they need to know what "real" time it is, so it can deal with leap seconds, etc. There are now two options for how to provide time inputs. The first is to provide the time in the UTC time zone, which has replaced Greenwich Mean Time (GMT) as the standard reference time. The inputs and outputs of this function will look strange, because unless you happen to be working somewhere with that time zone, you have to convert the time inputs to that time zone initially. So to find the solar position at 6 AM in Perth, Australia (offset -8 hours), we would manually convert the time zone. >>> from datetime import datetime, timedelta >>> solar_position(datetime(2020, 6, 6, 14, 30, 0) - timedelta(hours=8), -31.95265, 115.85742) [63.4080568623, 63.4400018158, 26.59194313766, 26.5599981841, 325.121376246, 75.7467475485] This painful, so timezone support has been added to the functions using the library `pytz`. >>> import pytz >>> when = pytz.timezone('Australia/Perth').localize(datetime(2020, 6, 6, 14, 30, 0)) >>> solar_position(when, -31.95265, 115.85742) [63.4080568623, 63.4400018158, 26.59194313766, 26.55999818417, 325.121376246, 75.7467475485] To determine the distance of earth and the sun, use the :py:func:`~.earthsun_distance` function which accepts a single datetime object and returns the distance in meters. This is still impacted by timezones. >>> earthsun_distance(pytz.timezone('America/Edmonton').localize(datetime(2003, 10, 17, 13, 30, 30))) 149080606927.6 To determine when the sun rises, sets, and is at solar noon, use the :py:func:`~.sunrise_sunset` function, which accepts a datetime instance, a latitude, and a longitude in degrees. >>> import pytz >>> sunrise, sunset, transit = sunrise_sunset(pytz.timezone('America/Edmonton').localize(datetime(2018, 4, 17)), 51.0486, -114.07) >>> sunrise datetime.datetime(2018, 4, 16, 6, 39, 1, 570479, tzinfo=) >>> sunset datetime.datetime(2018, 4, 16, 20, 32, 25, 778162, tzinfo=) >>> transit datetime.datetime(2018, 4, 16, 13, 36, 0, 386341, tzinfo=) To determine where in the sky the sun appears at any location and time, use the :py:func:`~.solar_position` function, which requires a datetime instance, a latitude, and a longitude. >>> apparent_zenith, _, _, _, azimuth, _ = solar_position(pytz.timezone('America/Edmonton').localize(datetime(2003, 10, 17, 13, 30, 30)), 51.0486, -114.07) >>> apparent_zenith, azimuth (60.3674252872, 182.513677566) The function returns several other properties which may be of interest. Its first return value, apparent_zenith, is the zenith which an observer on the ground would see the sun at after accounting for atmospheric refraction. To more accurately calculate the solar position, the temperature and pressure at ground level are required as well - as they impact the refraction as well; these arguments are accepted as well by :py:func:`~.solar_position` for more accuracy. When specifying pressure, be sure to use the real pressure of the site - not an adjusted to standard conditions one as reported by weather stations! >>> solar_position(pytz.timezone('America/Edmonton').localize(datetime(2003, 10, 17, 13, 30, 30)), 51.0486, -114.07, T=290, P=8.9E4)[0] 60.370155603 The primary application of sun position is for calculating the amount of sunlight received by an object, via the :py:func:`~.solar_irradiation` function. Unlike the previous functions, it requires an installation of `pvlib `_ to work. In addition to the arguments previously discussed, the surface_tilt and surface_azimuth of the object are required. The object is assumed to be a plane only - other objects need to be discretized into planes through finite-element calculations. The elevation is required, as well as the average albedo of the ground surrounding the object (not immediately; within several kilometers). The calculation is then straightforward: >>> solar_irradiation(Z=1100.0, latitude=51.0486, longitude=-114.07, linke_turbidity=3, ... moment=pytz.timezone('America/Edmonton').localize(datetime(2018, 4, 15, 13, 43, 5)), surface_tilt=41.0, ... surface_azimuth=180.0, albedo=0.25) (1065.762189628, 945.265656450, 120.4965331774, 95.3153534421, 25.18117973531) The first return value is the solar radiation which hits the object, in W/m^2. The next two are the components of the radiation that comes 1) directly from the sun and 2) diffusely, after being reflected from some other object. The final two return values break up the diffuse light into 3) a component reflected only in the sky and clouds and 4) a component caused by earth's albedo, bounding off the surface, then the sky, before hitting the object. Note that if not provided, the temperature and pressure of the ground are obtained via the :py:class:`~.ATMOSPHERE_NRLMSISE00` class, but this quadruples the time required for the calculation. Compressor sizing ----------------- Both isothermal and isentropic/polytropic compression models are implemented in :py:mod:`fluids.compressible`. Isothermal compression calculates the work required to compress a gas from one pressure to another at a specified temperature. This is the best possible case for compression; all actual compressors require more work to do the compression. By making the compression take a large number of stages and cooling the gas between stages, this can be approached reasonable closely. Integrally geared compressors are often used for this purpose The function :py:func:`~.isothermal_work_compression` provides this calculation. >>> isothermal_work_compression(P1=1E5, P2=1E6, T=300) 5743.4273042447 Work is calculated on a J/mol basis. If the second pressure is lower than the first, a negative work will result and you are modeling an expander instead of a compressor. Gas compressibility factor can also be specified. The lower the gas's compressibility factor, the less power required to compress it. >>> isothermal_work_compression(P1=1E6, P2=1E5, T=300) -5743.42730 >>> isothermal_work_compression(P1=1E5, P2=1E6, T=300, Z=0.95) 5456.2559390 There is only one function implemented to model both isentropic and polytropic compressors, as the only difference is that a polytropic exponent `n` is used instead of the gas's isentropic exponent Cp/Cv `k` and the type of efficiency is changed. The model requires initial temperature, inlet and outlet pressure, isentropic exponent or polytropic exponent, and optionally an efficiency. Compressing air from 1 bar to 10 bar, with inlet temperature of 300 K and efficiency of 78% with the :py:func:`~.isentropic_work_compression` function: >>> isentropic_work_compression(P1=1E5, P2=1E6, T1=300, k=1.4, eta=0.78) # work, J/mol 10416.87698 The model allows for the inlet or outlet pressure or efficiency to be calculated instead of the work: >>> isentropic_work_compression(T1=300, P1=1E5, P2=1E6, k=1.4, W=10416) # Calculate efficiency 0.78006567294 >>> isentropic_work_compression(T1=300, P1=1E5, k=1.4, W=10416, eta=0.78) # Calculate P2 999857.9648 >>> isentropic_work_compression(T1=300, P2=1E6, k=1.4, W=10416, eta=0.78) # Calculate P1 100014.20552 The approximate temperature rise can also be calculated with the function :py:func:`~.isentropic_T_rise_compression`. >>> T2 = isentropic_T_rise_compression(P1=1E5, P2=1E6, T1=300, k=1.4, eta=0.78) >>> T2, T2-300 # outlet temperature and temperature rise, K (657.960664955, 357.9606649550) It is more accurate to use an enthalpy-based model which incorporates departure functions. Polytropic exponents and efficiencies are convertible to isentropic exponents and efficiencies with :py:func:`~.isentropic_efficiency` and :py:func:`~.polytropic_exponent` . For the above example, with `k` = 1.4 and `eta_s` = 0.78: >>> eta_p = isentropic_efficiency(P1=1E5, P2=1E6, k=1.4, eta_s=0.78) # with eta_s specified, returns polytropic efficiency >>> n = polytropic_exponent(k=1.4, eta_p=eta_p) >>> eta_p, n (0.837678534, 1.51763186) With those results, we can prove the calculation worked by calculating the work required using these polytropic inputs: >>> isentropic_work_compression(P1=1E5, P2=1E6, T1=300, k=n, eta=eta_p) 10416.8769 The work is the same as calculated with the original inputs. Note that the conversion is specific to three inputs: Inlet pressure; outlet pressure; and isentropic exponent `k`. If any of those change, then the calculated polytropic exponent and efficiency will be different as well. To go in the reverse direction, we take the case of isentropic exponent k =Cp/Cv=1.4, eta_p=0.83 The power is calculated to be: We first need to calculate the polytropic exponent from the polytropic efficiency: >>> n = polytropic_exponent(k=1.4, eta_p=0.83) >>> print(n) 1.524934383 >>> isentropic_work_compression(P1=1E5, P2=1E6, T1=300, k=n, eta=0.83) 10556.4981 Converting polytropic efficiency to isentropic efficiency: >>> eta_s = isentropic_efficiency(P1=1E5, P2=1E6, k=1.4, eta_p=0.83) >>> print(eta_s) 0.769683649 Checking the calculated power is the same: >>> isentropic_work_compression(P1=1E5, P2=1E6, T1=300, k=1.4, eta=eta_s) 10556.4981 Gas pipeline sizing ------------------- The standard isothermal compressible gas flow is fully implemented as :py:func:`~.isothermal_gas`, and through a variety of numerical and analytical expressions, can solve for any of the following parameters: * Mass flow rate * Upstream pressure (numerical) * Downstream pressure (analytical or numerical if an overflow occurs) * Diameter of pipe (numerical) * Length of pipe Solve for the mass flow rate of gas (kg/s) flowing through a 1 km long 0.5 m inner diameter pipeline, initially at 10 bar with a density of 11.3 kg/m^3 going downstream to a pressure of 9 bar. >>> isothermal_gas(rho=11.3, fd=0.00185, P1=1E6, P2=9E5, L=1000, D=0.5) 145.4847 The same case, but sizing the pipe to take 100 kg/s of gas: >>> isothermal_gas(rho=11.3, fd=0.00185, P1=1E6, P2=9E5, L=1000, m=100) 0.4297170 The same case, but determining what the outlet pressure will be if 200 kg/s flow in the 0.5 m diameter pipe: >>> isothermal_gas(rho=11.3, fd=0.00185, P1=1E6, D=0.5, L=1000, m=200) 784701.068182 Determining pipe length from known diameter, pressure drop, and mass flow (possible but not necessarily useful): >>> isothermal_gas(rho=11.3, fd=0.00185, P1=1E6, P2=9E5, D=0.5, m=150) 937.325802775 Not all specified mass flow rates are possible. At a certain downstream pressure, choked flow will develop - that downstream pressure is that at which the mass flow rate reaches a maximum. An exception will be raised if such an input is specified: >>> isothermal_gas(rho=11.3, fd=0.00185, P1=1E6, L=1000, D=0.5, m=260) # doctest: +SKIP Traceback (most recent call last): File "", line 1, in File "fluids/compressible.py", line 886, in isothermal_gas 'kg/s at a downstream pressure of %f' %(P1, m_max, Pcf)) Exception: The desired mass flow rate cannot be achieved with the specified upstream pressure of 1000000.000000 Pa; the maximum flowrate is 257.216733 kg/s at a downstream pressure of 389699.731765 >>> isothermal_gas(rho=11.3, fd=0.00185, P1=1E6, P2=3E5, L=1000, D=0.5) # doctest: +SKIP Traceback (most recent call last): File "", line 1, in File "fluids/compressible.py", line 821, in isothermal_gas due to the formation of choked flow at P2=%f, specified outlet pressure was %f' % (Pcf, P2)) Exception: Given outlet pressure is not physically possible due to the formation of choked flow at P2=389699.731765, specified outlet pressure was 300000.000000 The downstream pressure at which choked flow occurs can be calculated directly as well: >>> P_isothermal_critical_flow(P=1E6, fd=0.00185, L=1000., D=0.5) 389699.731 A number of limitations exist with respect to the accuracy of this model: * Density dependence is that of an ideal gas. * If calculating the pressure drop, the average gas density cannot be known immediately; iteration must be used to correct this. * The friction factor depends on both the gas density and velocity, so it should be solved for iteratively as well. It changes throughout the pipe as the gas expands and velocity increases. * The model is not easily adapted to include elevation effects due to the acceleration term included in it. * As the gas expands, it will change temperature slightly, further altering the density and friction factor. We can explore how the gas density and friction factor effect the model using the `thermo library `_ for chemical properties. Compute the downstream pressure of 50 kg/s of natural gas flowing in a 0.5 m diameter pipeline for 1 km, roughness = 5E-5 m: >>> from thermo import * # doctest: +SKIP >>> from fluids import * # doctest: +SKIP >>> from math import pi >>> D = 0.5 # doctest: +SKIP >>> L = 1000 # doctest: +SKIP >>> epsilon = 5E-5 # doctest: +SKIP >>> S1 = Stream('natural gas', P=1E6, m=50) # doctest: +SKIP >>> V = S1.Q/(pi/4*D**2) # doctest: +SKIP >>> Re = S1.Reynolds(D=D, V=V) # doctest: +SKIP >>> fd = friction_factor(Re=Re, eD=epsilon/D) # doctest: +SKIP >>> P2 = isothermal_gas(rho=S1.rho, fd=fd, P1=S1.P, D=D, L=L, m=S1.m) # doctest: +SKIP >>> P2 # doctest: +SKIP 877420.071063 In the above example, the friction factor was calculated using the density and velocity of the gas when it enters the stream. However, the average values, at the middle pressure, and more representative. We can iterate to observe the effect of using the average values: >>> for i in range(10): # doctest: +SKIP ... S2 = Stream('natural gas', P=0.5*(P2+S1.P), m=50) # doctest: +SKIP ... V = S2.Q/(pi/4*D**2) # doctest: +SKIP ... Re = S2.Reynolds(D=D, V=V) # doctest: +SKIP ... fd = friction_factor(Re=Re, eD=epsilon/D) # doctest: +SKIP ... P2 = isothermal_gas(rho=S2.rho, fd=fd, P1=S1.P, D=D, L=L, m=S1.m) # doctest: +SKIP ... print('%g' %P2) # doctest: +SKIP 868535 867840 867786 867781 867781 867781 867781 867781 867781 867781 As can be seen, the system converges very quickly. The difference in calculated pressure drop is approximately 1%. Please note the values given here may change as properties are updated in the `thermo` library, they are here to demonstrate the technique only. Gas pipeline sizing: Empirical equations ---------------------------------------- In addition to the actual model, many common simplifications used in industry are implemented as well. These are equally capable of solving for any of the following inputs: * Mass flow rate * Upstream pressure * Downstream pressure * Diameter of pipe * Length of pipe None of these models include an acceleration term. In addition to reducing their accuracy, it allows all solutions for the above variables to be analytical. These models cannot predict the occurrence of choked flow, and model only turbulent, not laminar, flow. Most of these models do not depend on the gas's viscosity. Rather than using mass flow rate, they use specific gravity and volumetric flow rate. The volumetric flow rate is specified with respect to a reference temperature and pressure. The defaults are 288.7 K and 101325 Pa, dating to the old imperial standard of 60° F. The specific gravity is with respect to air at the reference conditions. As the ideal gas law is used in each of these models, in addition to pressure and specific gravity the average temperature in the pipeline is required. Average compressibility factor is an accepted input to all models and corrects the ideal gas law's ideality. The full list of approximate models is as follows: * :py:func:`~.Panhandle_A` * :py:func:`~.Panhandle_B` * :py:func:`~.Weymouth` * :py:func:`~.Oliphant` * :py:func:`~.Fritzsche` * :py:func:`~.Muller` * :py:func:`~.IGT` * :py:func:`~.Spitzglass_high` * :py:func:`~.Spitzglass_low` As an example, calculating flow for a pipe with diameter 0.34 m, upstream pressure 90 bar and downstream pressure 20 bar, 160 km long, 0.693 specific gravity and with an average temperature in the pipeline of 277.15 K: >>> Panhandle_A(D=0.340, P1=90E5, P2=20E5, L=160E3, SG=0.693, Tavg=277.15) 42.5608 Each model also includes a pipeline efficiency term, ranging from 0 to 1. These are just empirical correction factors, Some of the models were developed with theory and a correction factor applied always; others are more empirical, and have a default correction factor. 0.92 is the default for the Panhandle A/B, Weymouth, and Oliphant models; the rest default to a correction of 1 i.e. no correction at all. The Muller and IGT models are the most accurate and recent approximations. They both depend on viscosity. >>> Muller(D=0.340, P1=90E5, P2=20E5, L=160E3, SG=0.693, mu=1E-5, Tavg=277.15) 60.457966 >>> IGT(D=0.340, P1=90E5, P2=20E5, L=160E3, SG=0.693, mu=1E-5, Tavg=277.15) 48.923517 These empirical models are included because they are mandated in many industrial applications regardless of their accuracy, and correction factors have already been determined. A great deal of effort was spent converting these models to base SI units and checking the coefficients used in each model with multiple sources. In many cases multiple sets of coefficients are available for a model; the most authoritative or common ones were used in those cases. Drag and terminal velocity -------------------------- A number of spherical particle drag correlations are implemented. In the simplest case, consider a spherical particle of diameter D=1 mm, density=3400 kg/m^3, travelling at 30 m/s in air with viscosity mu=1E-5 Pa*s and density 1.2 kg/m^3. We calculate the particle Reynolds number: >>> Re = Reynolds(V=30, rho=1.2, mu=1E-5, D=1E-3) >>> Re 3599.999999 The drag coefficient `Cd` can be calculated with no other parameters from :py:func:`~.drag_sphere`: >>> drag_sphere(Re) 0.391480468 The terminal velocity of the particle is easily calculated with the :py:func:`~.v_terminal` function. >>> v_terminal(D=1E-3, rhop=3400, rho=1.2, mu=1E-5) 8.9712239 Very often, we are not interested in just what the velocity of the particle will be at terminal conditions, but on the distance it will travel and the particle will never have time to reach terminal conditions. An integrating function is available to do that. Consider that same particle being shot directly down from a helicopter 100 m high. The integrating function, :py:func:`~.integrate_drag_sphere`, performs the integral with respect to time. At one second, we can see the (velocity, distance travelled): >>> integrate_drag_sphere(D=1E-3, rhop=3400., rho=1.2, mu=1E-5, t=1, V=30, distance=True) (10.56187, 15.6079) After integrating to 10 seconds, we can see the particle has travelled 97 meters and is almost on the ground. >>> integrate_drag_sphere(D=1E-3, rhop=3400., rho=1.2, mu=1E-5, t=10, V=30, distance=True) (8.971223, 97.132762) For this example simply using the terminal velocity would have given an accurate estimation of distance travelled: >>> 8.971223953182939*10 89.7122395318294 Many engineering applications such as direct contact condensers do operate far from terminal velocity however, and this function is useful there. Pressure drop through packed beds --------------------------------- Twelve different packed bed pressure drop correlations are available. A meta function which allows any of them to be selected and automatically selects the most accurate correlation for the given parameters. Pressure drop through a packed bed depends on the density, viscosity and velocity of the fluid, as well as the diameter of the particles, the amount of free space in the bed (voidage), and to a lesser amount the ratio of particle to tube diameter and the shape of the particles. Consider 0.8 mm pebbles with 40% empty space with water flowing through a 2 m column creeping flow at a superficial velocity of 1 mm/s. We can calculate the pressure drop in Pascals using the :py:func:`~.dP_packed_bed` function: >>> dP_packed_bed(dp=8E-4, voidage=0.4, vs=1E-3, rho=1E3, mu=1E-3, L=2) 2876.565 The method can be specified manually as well, for example the commonly used Ergun equation: >>> dP_packed_bed(dp=8E-4, voidage=0.4, vs=1E-3, rho=1E3, mu=1E-3, L=2, Method='Ergun') 2677.73437 Incorporation of the tube diameter will add wall effects to the model. >>> dP_packed_bed(dp=8E-4, voidage=0.4, vs=1E-3, rho=1E3, mu=1E-3, L=2, Dt=0.01) 2510.325132 Models can be used directly as well. The length of the column is an optional input; if not provided, the result will be in terms of Pa/m. >>> KTA(dp=8E-4, voidage=0.4, vs=1E-3, rho=1E3, mu=1E-3) # A correlation standardized for use in pebble reactors 1440.40927 If the column diameter was 0.5 m, the flow rate in m^3/s would be: >>> .001*(pi/4*0.5**2) # superficial_velocity*A_column 0.0001963495408 The holdup (total volume of the column holding fluid not particles) would be: >>> (pi/4*0.5**2)*(2)*0.4 # A_column*H_column*voidage 0.15707963267948 Not all particles are spherical. There have been correlations published for specific shapes, but what is often performed is simply an adjustment of particle diameter by its sphericity in the correlation, with the effective `dp` used as the product of the actual `dp` and the sphericity of the particle. The less spherical the particles, the higher the pressure drop. This is supported in all of the correlations. >>> dP_packed_bed(dp=8E-4, voidage=0.4, vs=1E-3, rho=1E3, mu=1E-3, L=2, Dt=0.01, sphericity=0.9) 3050.419598116 While it is easy to measure the volume of particles added to a given column and determine the voidage experimentally, this does not help in the design process. Several authors have methodically filled columns with particles of different sizes and created correlations in terms of sphericity and particle to tube diameter ratios. Three such correlations are implemented in fluids, one generally using sphericity, one for spheres, and one for cylinders (:py:func:`~.voidage_Benyahia_Oneil`, :py:func:`~.voidage_Benyahia_Oneil_spherical` and :py:func:`~.voidage_Benyahia_Oneil_cylindrical` respectively). 1 mm spheres in a 5 cm diameter tube: >>> voidage_Benyahia_Oneil_spherical(Dp=.001, Dt=.05) 0.390665315 1 mm diameter cylinder 5 mm long in a 5 cm diameter tube: >>> V_cyl = V_cylinder(D=0.001, L=0.005) >>> D_sphere_eq = (6*V_cyl/pi)**(1/3.) >>> A_cyl = A_cylinder(D=0.001, L=0.005) >>> sph = sphericity(A=A_cyl, V=V_cyl) >>> voidage_Benyahia_Oneil_cylindrical(Dpe=D_sphere_eq, Dt=0.05, sphericity=sph) 0.37548952 Same calculation, but using the general correlation for all shapes: >>> voidage_Benyahia_Oneil(Dpe=D_sphere_eq, Dt=0.05, sphericity=sph) 0.44257695 Pressure drop through piping ---------------------------- It is straightforward to calculate the pressure drop of fluid flowing in a pipeline with any number of fittings using the fluids library's :py:mod:`fluids.fittings` submodule. 15 m of piping, with a sharp entrance and sharp exit, two 30 degree miter bends, one rounded bend 45 degrees, 1 sharp contraction to half the pipe diameter and 1 sharp expansion back to the normal pipe diameter (water, V=3 m/s, Di=0.05, roughness 0.01 mm): >>> Re = Reynolds(V=3, D=0.05, rho=1000, mu=1E-3) >>> fd = friction_factor(Re, eD=1E-5/0.05) >>> K = K_from_f(fd=fd, L=15, D=0.05) >>> K += entrance_sharp() >>> K += exit_normal() >>> K += 2*bend_miter(angle=30) >>> K += bend_rounded(Di=0.05, angle=45, fd=fd) >>> K += contraction_sharp(Di1=0.05, Di2=0.025) >>> K += diffuser_sharp(Di1=0.025, Di2=0.05) >>> dP_from_K(K, rho=1000, V=3) 37920.511 If the diameter of the piping varies, not all of the loss coefficients will be with respect to the same diameter. Each loss coefficient must be converted to one standard diameter before the total pressure drop can be calculated. The following example is solved with the optional `pint` unit compatibility module. 40 m piping, beveled entrance (10 mm length, 30 degrees, into 5 cm ID pipe) , then a 30 degree miter bend, a sharp contraction to half the pipe diameter (5 m long), a 30 degree miter bend, a rounded 45 degree bend, a sharp expansion to 4 cm ID pipe (15 more meters), and a sharp exit: >>> from fluids.units import * >>> from math import * >>> material = nearest_material_roughness('steel', clean=True) >>> epsilon = material_roughness(material) >>> Q = .01*u.m**3/u.s >>> rho = 1000*u.kg/u.m**3 >>> mu = 1E-4*u.Pa*u.s >>> D1 = 5*u.cm >>> D2 = 2.5*u.cm >>> D3 = 4*u.cm >>> L1 = 20*u.m >>> L2 = 5*u.m >>> L3 = 15*u.m >>> V1 = Q/(pi/4*D1**2) >>> Re = Reynolds(V=V1, D=D1, rho=rho, mu=mu) >>> fd = friction_factor(Re, eD=epsilon/D1) >>> K = K_from_f(fd=fd, L=L1, D=D1) >>> K += entrance_beveled(Di=D1, l=10*u.mm, angle=30*u.degrees) >>> K += bend_miter(angle=30*u.degrees) >>> K += contraction_sharp(Di1=D1, Di2=D2) >>> V2 = Q/(pi/4*D2**2) >>> Re2 = Reynolds(V=V2, D=D2, rho=rho, mu=mu) >>> fd2 = friction_factor(Re2, eD=epsilon/D2) >>> K += change_K_basis(K_from_f(fd=fd2, L=L2, D=D2), D1=D2, D2=D1) >>> K += change_K_basis(K1=bend_miter(angle=30*u.degrees), D1=D2, D2=D1) >>> K += change_K_basis(K1=bend_rounded(Di=D2, angle=45*u.degrees, fd=fd2), D1=D2, D2=D1) >>> V3 = Q/(pi/4*D3**2) >>> Re3 = Reynolds(V=V3, D=D3, rho=rho, mu=mu) >>> fd3 = friction_factor(Re3, eD=epsilon/D3) >>> K += change_K_basis(K_from_f(fd=fd3, L=L3, D=D3), D1=D3, D2=D1) >>> K += diffuser_sharp(Di1=D2, Di2=D3) >>> dP_from_K(K, rho=rho, V=V1) Control valve sizing: Introduction ---------------------------------- The now internationally-standardized methods (IEC 60534) for sizing liquid and gas valves have been implemented. Conversion factors among the different types of valve coefficients are implemented as well. There are two forms of loss coefficient used for vales, an imperial and a metric variable called "valve flow coefficient". Both can be converted to the standard dimensionless loss coefficient. If one knows the actual loss coefficient of a valve, the valve flow coefficient can be calculated in either metric or imperial forms as follows. The flow coefficients are specific to the diameter of the valve. Kv, Cv, and K values can be converted easily with the functions :py:func:`~.K_to_Kv`, :py:func:`~.K_to_Cv`, :py:func:`~.Cv_to_K`, :py:func:`~.Kv_to_K`, :py:func:`~.Cv_to_Kv`, and :py:func:`~.Kv_to_Cv`. >>> from fluids import * >>> K_to_Kv(K=16, D=0.016) 2.56 >>> K_to_Cv(K=16, D=0.016) 2.95961402 If Kv or Cv are known, they can be converted to each other with the proportionality constant 1.156, which is derived from a unit conversion only. This conversion does not require valve diameter. >>> Cv_to_Kv(12) 10.37973186 >>> Kv_to_Cv(10.37) 11.9887489 If a Cv or Kv is obtained from a valve datasheet, it can be converted into a standard loss coefficient as follows. >>> Kv_to_K(Kv=2.56, D=0.016) 16.00000000 >>> Cv_to_K(Cv=3, D=0.016) 15.57211586 For a valve with a specified Kv and pressure drop, the flow rate can be calculated easily for the case of non-choked non-compressible flow (neglecting other friction losses), as illustrated in the example below for a 5 cm valve with a pressure drop 370 kPa and density of 870 kg/m^3: >>> Kv = 72.5 >>> D = 0.05 >>> dP = 370E3 >>> K = Kv_to_K(D=D, Kv=Kv) >>> rho = 870 >>> V = (dP/(.5*rho*K))**0.5 # dP = K*0.5*rho*V^2 >>> A = pi/4*D**2 >>> Q = V*A >>> Q 0.04151682 Alternatively, the required Kv can be calculated from an assumed diameter and allowable pressure drop: >>> Q = .05 >>> D = 0.05 >>> dP = 370E3 >>> rho = 870 >>> A = pi/4*D**2 >>> V = Q/A >>> K = dP/(.5*rho*V**2) >>> K_to_Kv(D=D, K=K) 87.3139992 The approach documented above is not an adequate procedure for sizing valves however because choked flow, compressible flow, the effect of inlet and outlet reducers, the effect of viscosity and the effect of laminar/turbulent flow all have large influences on the performance of control valves. Historically, valve manufacturers had their own standards for sizing valves, but these have been standardized today into the IEC 60534 methods. Control valve sizing: Liquid flow --------------------------------- To rigorously size a control valve for liquid flow, the inlet pressure, allowable pressure drop, and desired flow rate must first be known. These need to be determined taking into account the entire pipe network and the various operating conditions it needs to support; sizing the valves can be performed afterward and only if no valve with the desired performance is available does the network need to be redesigned. To illustrate sizing a valve, we borrow an example from Emerson's Control Valve Handbook, 4th edition (2005). It involves a flow of 800 gpm of liquid propane. The inlet and outlet pipe size is 8 inches, but the size of the valve itself is unknown. The desired pressure drop is 25 psi. Converting this problem to SI units and using the thermo library to calculate the necessary properties of the fluid, we calculate the necessary Kv of the valve based on an assumed valve size of 3 inches: >>> from scipy.constants import * >>> from fluids.control_valve import size_control_valve_l # doctest: +SKIP >>> from thermo.chemical import Chemical # doctest: +SKIP >>> P1 = 300*psi + psi # to Pa # doctest: +SKIP >>> P2 = 275*psi + psi # to Pa # doctest: +SKIP >>> T = 273.15 + 21 # to K # doctest: +SKIP >>> propane = Chemical('propane', P=(P1+P2)/2, T=T) # doctest: +SKIP >>> rho = propane.rho # doctest: +SKIP >>> Psat = propane.Psat # doctest: +SKIP >>> Pc = propane.Pc # doctest: +SKIP >>> mu = propane.mu # doctest: +SKIP >>> Q = 800*gallon/minute # to m^3/s # doctest: +SKIP >>> D1 = D2 = 8*inch # to m # doctest: +SKIP >>> d = 3*inch # to m # doctest: +SKIP The standard specifies two more parameters specific to a valve: * FL, Liquid pressure recovery factor of a control valve without attached fittings * Fd, Valve style modifier Both of these are factors between 0 and 1. In the Emerson handbook, they are not considered in the sizing procedure and set to 1. These factors are also a function of the diameter of the valve and are normally tabulated next to the values of Cv or Kv for a valve. Now using :py:func:`~.size_control_valve_l` to solve for the flow coefficient: >>> Kv = size_control_valve_l(rho, Psat, Pc, mu, P1, P2, Q, D1, D2, d, FL=1, Fd=1) # doctest: +SKIP >>> Kv # doctest: +SKIP 109.3970 The handbook states the Cv of the valve is 121; we convert Kv to Cv: >>> Kv_to_Cv(Kv=Kv) # doctest: +SKIP 126.4738 The example in the book calculated Cv = 125.7, but doesn't actually use the full calculation method. Either way, the valve will not carry the desired flow rate; we need to try a larger valve size. The 4 inch size is tried next in the example, which has a known Cv of 203. >>> d = 4*inch # to m >>> Kv = size_control_valve_l(rho, Psat, Pc, mu, P1, P2, Q, D1, D2, d, FL=1, Fd=1) # doctest: +SKIP >>> Kv_to_Cv(Kv=Kv) # doctest: +SKIP 116.175503 The calculated Cv is well under the valve's maximum Cv; we can select it. This model requires a vapor pressure and a critical pressure of the fluid as inputs. There is no clarification in the standard about how to handle mixtures, which do not have these values. It is reasonable to calculate vapor pressure as the bubble pressure, and the mixture's critical pressure through a mole-weighted average. For actual values of Cv, Fl, Fd, and available diameters, an excellent resource is the `Fisher Catalog 12 `_. Control valve sizing: Gas flow ------------------------------ To rigorously size a control valve for gas flow, the inlet pressure, allowable pressure drop, and desired flow rate must first be known. These need to be determined taking into account the entire pipe network and the various operating conditions it needs to support; sizing the valves can be performed afterward and only if no valve with the desired performance is available does the network need to be redesigned. To illustrate sizing a valve, we borrow an example from Emerson's Control Valve Handbook, 4th edition (2005). It involves a flow of 6 million ft^3/hour of natural gas. The inlet and outlet pipe size is 8 inches, but the size of the valve itself is unknown. The desired pressure drop is 150 psi. Converting this problem to SI units and using the thermo library to calculate the necessary properties of the fluid, we calculate the necessary Kv of the valve based on an assumed valve size of 8 inches. >>> from scipy.constants import * >>> from fluids.control_valve import size_control_valve_g >>> from thermo.chemical import Chemical # doctest: +SKIP >>> P1 = 214.7*psi >>> P2 = 64.7*psi >>> T = 16 + 273.15 >>> natural_gas = Mixture('natural gas', T=T, P=(P1+P2)/2) # doctest: +SKIP >>> Z = natural_gas.Z # doctest: +SKIP >>> MW = natural_gas.MW # doctest: +SKIP >>> mu = natural_gas.mu # doctest: +SKIP >>> gamma = natural_gas.isentropic_exponent # doctest: +SKIP >>> Q = 6E6*foot**3/hour # doctest: +SKIP >>> D1 = D2 = d = 8*inch # 8-inch Fisher Design V250 # doctest: +SKIP The standard specifies three more parameters specific to a valve: * FL, Liquid pressure recovery factor of a control valve without attached fittings * Fd, Valve style modifier * xT, Pressure difference ratio factor of a valve without fittings at choked flow All three of these are factors between 0 and 1. In the Emerson handbook, FL and Fd are not considered in the sizing procedure and set to 1. xT is specified as 0.137 at full opening. These factors are also a function of the diameter of the valve and are normally tabulated next to the values of Cv or Kv for a valve. Now using :py:func:`~.size_control_valve_g` to solve for the flow coefficient: >>> Kv = size_control_valve_g(T, MW, mu, gamma, Z, P1, P2, Q, D1, D2, d, FL=1, Fd=1, xT=.137) # doctest: +SKIP >>> Kv_to_Cv(Kv) # doctest: +SKIP 1563.44772 The 8-inch valve is rated with Cv = 2190. The valve is adequate to provide the desired flow because the rated Cv is higher. The calculated value in their example is 1515, differing slightly due to the properties used. The example next goes on to determine the actual opening position the valve should be set at to provide the required flow. Their conclusion is approximately 75% open; we can do better using a numerical solver. The values of opening at different positions are obtained in this example from the valve's `datasheet `_. Loading the data and creating interpolation functions so FL, Fd, and xT are all smooth functions: >>> from scipy.interpolate import interp1d >>> from scipy.optimize import newton >>> openings = [.2, .3, .4, .5, .6, .7, .8, .9] >>> Fds = [0.59, 0.75, 0.85, 0.92, 0.96, 0.98, 0.99, 0.99] >>> Fls = [0.9, 0.9, 0.9, 0.85, 0.78, 0.68, 0.57, 0.45] >>> xTs = [0.92, 0.81, 0.85, 0.63, 0.58, 0.48, 0.29, 0.14] >>> Kvs = [24.1, 79.4, 153, 266, 413, 623, 1060, 1890] >>> Fd_interp = interp1d(openings, Fds, kind='cubic') >>> Fl_interp = interp1d(openings, Fls, kind='cubic') >>> xT_interp = interp1d(openings, xTs, kind='cubic') >>> Kv_interp = interp1d(openings, Kvs, kind='cubic') Creating and solving the objective function: >>> def to_solve(opening): ... Fd = float(Fd_interp(opening)) ... Fl = float(Fl_interp(opening)) ... xT = float(xT_interp(opening)) ... Kv_lookup = float(Kv_interp(opening)) ... Kv_calc = size_control_valve_g(T, MW, mu, gamma, Z, P1, P2, Q, D1, D2, d, FL=Fl, Fd=Fd, xT=xT) ... return Kv_calc - Kv_lookup >>> newton(to_solve, .8) # initial guess of 80% # doctest: +SKIP 0.75008147 We see the valve should indeed be set to almost exactly 75% open to provide the desired flow. Electric motor sizing --------------------- Motors are available in standard sizes, mostly as designated by the National Electrical Manufacturers Association (NEMA). To easily determine what the power of a motor will actually be once purchased, :py:func:`~.motor_round_size` implements rounding up of a motor power to the nearest size. NEMA standard motors are specified in terms of horsepower. >>> motor_round_size(1E5) # 100 kW motor; 11.8% larger than desired 111854.980 >>> from scipy.constants import hp >>> motor_round_size(1E5)/hp # convert to hp 150.0 Motors are designed to generate a certain amount of power, but they themselves are not 100% efficient at doing this and require more power due to efficiency losses. Many minimum values for motor efficiency are standardized. The Canadian standard for this is implemented in fluids as :py:func:`~.CSA_motor_efficiency`. >>> CSA_motor_efficiency(P=5*hp) 0.855 Most motors are not enclosed (the default assumption), but those that are closed are more efficient. >>> CSA_motor_efficiency(P=5*hp, closed=True) 0.875 The number of poles in a motor also affects its efficiency: >>> CSA_motor_efficiency(P=5*hp, poles=6) 0.875 There is also a schedule of higher efficiency values standardized as well, normally available at somewhat higher cost: >>> CSA_motor_efficiency(P=5*hp, closed=True, poles=6, high_efficiency=True) 0.895 A motor will spin at more or less its design frequency, depending on its type. However, if it does not meet sufficient resistance, it will not be using its design power. This is good and bad - less power is used, but as a motor drops under 50% of its design power, its efficiency becomes terrible. The function :py:func:`~.motor_efficiency_underloaded` has been written based on generic performance curves to estimate the underloaded efficiency of a motor. Just how bad efficiency drops off depends on the design power of a motor - higher power motors do better operating at low loads than small motors. >>> motor_efficiency_underloaded(P=1E3, load=.9) 1 >>> motor_efficiency_underloaded(P=1E3, load=.2) 0.66393475 This needs to be applied on top of the normal motor efficiency; for example, that 1 kW motor at 20% load would have a net efficiency of: >>> motor_efficiency_underloaded(P=1E3, load=.2)*CSA_motor_efficiency(P=1E3) 0.532940428 Many motors have Variable Frequency Drives (VFDs) which allow them to vary the speed of their rotation. The VFD is another source of inefficiency, but by allowing the pump or other piece of equipment to vary its speed, a system may be designed to be less energy intensive. For example, rather than running a pump at a certain high frequency and controlling the flow with a large control valve, the flow rate can be controlled with the VFD directly. The efficiency of a VFD depends on the maximum power it needs to be able to generate, and the power it is actually generating at an instant (load). A table of typical modern VFD efficiencies is implemented in fluids as :py:func:`~.VFD_efficiency`. >>> VFD_efficiency(1E5) # 100 kW 0.97 >>> VFD_efficiency(5E3, load=.2) # 5 kW, 20% load 0.8562 Particle Size Distributions --------------------------- Fluids has means for calculating, fitting, and manipulating particle size distributions through the :py:mod:`fluids.particle_size_distribution` module. In addition to discrete and continuous distributions, there are also means to create interpolating distributions from discrete distributions, and to use any of SciPy's statistical distributions or a custom distribution for calculations. The following example particle size distribution shows some calculations. Note there is one more diameter point than number point - this is how the input should be given when the analysis provides classes and each bin has a range of sizes representing it. Also supported is providing as many diameter values as fraction values. >>> ds = [240, 360, 450, 562.5, 703, 878, 1097, 1371, 1713, 2141, 2676, 3345, 4181, 5226, 6532] >>> numbers = [65, 119, 232, 410, 629, 849, 990, 981, 825, 579, 297, 111, 21, 1] >>> psd = ParticleSizeDistribution(ds=ds, fractions=numbers, order=0) >>> psd In the above example, the analysis available was the number of particles counted in each bin. This is equivalent to having normalized the numbers into fractions; they are normalized inside the :py:class:`~.ParticleSizeDistribution` class. If masses in each of the different bins had been known instead, then the same constructor would be given except with `order=3`, representing a mass or volume distribution (they are the same thing for distributions with the same density for all particles). If the data is available as a cumulative distribution, simple add the flag cdf=True and it will be interpreted correctly. The probability distribution and cumulative distribution can be plotted with :py:meth:`~.plot_pdf` and :py:meth:`~.plot_cdf` respectively. Important statistical parameters describing the distribution can be calculated with the methods :py:meth:`fluids.particle_size_distribution.ParticleSizeDistribution.mean_size` or :py:meth:`fluids.particle_size_distribution.ParticleSizeDistribution.mean_size_ISO`. The following example shows calculation of the size-weighted mean diameter; arithmetic mean diameter; Sauter mean diameter; and De Brouckere diameter. >>> psd.mean_size(2, 1) 1857.788 >>> psd.mean_size(1, 0) 1459.372 >>> psd.mean_size(3, 2) 2269.321 >>> psd.mean_size(4, 3) 2670.751 An interpolated distribution exists underneath the discrete data to allow useful properties to be calculated, such as the D10 or D90: >>> psd.dn(0.1), psd.dn(0.9) (1437.07139, 3911.47963) Or probability density functions: >>> psd.pdf(1000) 0.0001063238 >>> psd.cdf(5000) 0.98974007 Statistical distributions implemented are :py:class:`~.PSDLognormal`, :py:class:`~.PSDGatesGaudinSchuhman`, and :py:class:`~.PSDRosinRammler`. Discrete and continuous distributions share most methods. >>> psd = PSDLognormal(s=0.5, d_characteristic=5E-6) >>> psd.pdf(1e-6) # probability density function 4487.89 >>> psd.cdf(7e-6) # cumulative distribution function 0.749508 >>> psd.dn(0.1) # At what diameter is this fraction of particles smaller than? 2.634417e-06 >>> psd.mean_size(3, 2) 4.41248e-06 >>> ds = psd.ds_discrete(pts=1000) # Compare calculations with the discrete distribution >>> fractions = psd.fractions_discrete(ds) >>> ParticleSizeDistribution(ds=ds, fractions=fractions, order=3).mean_size(3, 2) 4.42574e-06 It is straightforward to calculate descriptions of the distribution using the available routines: Volume specific surface area: >>> psd.vssa 1359778.1 Span (D90 - D10): >>> psd.dn(.9) - psd.dn(0.1) 6.85534e-06 Relative span (D90 - D10)/D50: >>> (psd.dn(.9) - psd.dn(0.1))/psd.dn(0.5) 1.3710691 Percentile ratios, D75/D25 and D90/D10: >>> psd.dn(0.75)/psd.dn(0.25) 1.9630310 >>> psd.dn(0.9)/psd.dn(0.1) 3.602224 Required Resources ------------------ The fluids library is designed to be a low-overhead, lightweight repository of engineering knowledge and utilities that relate to fluid dynamics. It occupies ~4 MB of RAM on load and should load in a small fraction of a second. Fluids does load NumPy if it is present, which takes ~150 ms; fluids itself loads in approximately 20 ms. No other libraries will become required dependencies; anything else, including SciPy, is optional and loaded when needed. Fluids was originally tightly integrated with SciPy and NumPy; today they are optional components used for only a small amount of functionality which do not have pure-Python numerical methods implemented. Fluids targets Python 2.7 and up as well as PyPy2 and PyPy3. Additionally, fluids has been tested by the author to load in IronPython, Jython, and micropython. fluids-1.0.22/docs/fluids.friction.rst0000644000175000017500000000040514302004506017165 0ustar nileshnileshFriction factor and pipe roughness (fluids.friction) ==================================================== .. meta:: :description: Rigorous set of friction factor correlations including Colebrook, Blassius, and Moody. .. automodule:: fluids.friction fluids-1.0.22/docs/fluids.pump.rst0000644000175000017500000000030314302004506016326 0ustar nileshnileshPump and motor sizing (fluids.pump) =================================== .. meta:: :description: Size and rate pumps and motors and variable speed drives. .. automodule:: fluids.pump fluids-1.0.22/docs/data.rst0000644000175000017500000000026014302004506014773 0ustar nileshnileshData included in Fluids ======================= .. toctree:: Data/Friction.ipynb Data/Sieve Sizes for Particle Size Distributions.ipynb Data/Pipe Schedules.ipynb fluids-1.0.22/docs/fluids.two_phase.rst0000644000175000017500000000026514302004506017345 0ustar nileshnileshTwo phase flow (fluids.two_phase) ================================= .. meta:: :description: Calculate two-phase pressure drop in pipes. .. automodule:: fluids.two_phase fluids-1.0.22/docs/fluids.atmosphere.rst0000644000175000017500000000035614302004506017524 0ustar nileshnileshAtmospheric properties (fluids.atmosphere) ========================================== .. meta:: :description: Models of Earth's atmosphere and solar radiation/position calculations in Python. .. automodule:: fluids.atmosphere fluids-1.0.22/docs/fluids.two_phase_voidage.rst0000644000175000017500000000037514302004506021045 0ustar nileshnileshTwo-phase flow voidage (fluids.two_phase_voidage) ================================================= .. meta:: :description: Implementation of most two-phase voidage or holdup correlations in Python. .. automodule:: fluids.two_phase_voidage fluids-1.0.22/docs/fluids.numba.rst0000644000175000017500000001407114302004506016456 0ustar nileshnileshSupport for Numba (fluids.numba) ================================ Basic module which wraps most of fluids functions and classes to be compatible with the `Numba `_ dynamic Python compiler. Numba is only supported on Python 3, and may require the latest version of Numba. Numba is rapidly evolving, and hopefully in the future it will support more of the functionality of fluids. Using the numba-accelerated version of `fluids` is easy; simply call functions and classes from the fluids.numba namespace. >>> import fluids >>> import fluids.numba >>> fluids.numba.bend_rounded(Di=4.020, rc=4.0*5, angle=30, Re=1E5) 0.11519070808085 There is a delay while the code is compiled when using Numba; the speed is not quite free. It is easy to compare the speed of a function with and without Numba. >>> %timeit fluids.numba.Stichlmair_flood(Vl=5E-3, rhog=5., rhol=1200., mug=5E-5, voidage=0.68, specific_area=260., C1=32., C2=7., C3=1.) # doctest: +SKIP 15.9 µs ± 266 ns per loop (mean ± std. dev. of 7 runs, 100000 loops each) >>> %timeit fluids.Stichlmair_flood(Vl=5E-3, rhog=5., rhol=1200., mug=5E-5, voidage=0.68, specific_area=260., C1=32., C2=7., C3=1.) # doctest: +SKIP 109 µs ± 2.01 µs per loop (mean ± std. dev. of 7 runs, 10000 loops each) Not everything is faster in the numba interface. For example, dictionary lookups have to be turned into slower jump lists: >>> %timeit fluids.numba.Darby3K(NPS=2., Re=10000., name='Valve, Angle valve, 45°, full line size, β = 1') # doctest: +SKIP 7.04 µs ± 62.8 ns per loop (mean ± std. dev. of 7 runs, 100000 loops each) >>> %timeit fluids.Darby3K(NPS=2., Re=10000., name='Valve, Angle valve, 45°, full line size, β = 1') # doctest: +SKIP 435 ns ± 9.01 ns per loop (mean ± std. dev. of 7 runs, 1000000 loops each) Functions which take strings as inputs are also known to normally get slower: >>> %timeit fluids.numba.geometry.V_from_h(h=7, D=1.5, L=5., horizontal=False, sideA='conical', sideB='conical', sideA_a=2., sideB_a=1.) # doctest: +SKIP 11.2 µs ± 457 ns per loop (mean ± std. dev. of 7 runs, 100000 loops each) >>> %timeit fluids.geometry.V_from_h(h=7, D=1.5, L=5., horizontal=False, sideA='conical', sideB='conical', sideA_a=2., sideB_a=1.) # doctest: +SKIP 1.64 µs ± 25.6 ns per loop (mean ± std. dev. of 7 runs, 100000 loops each) Nevertheless, using the function from the numba interface may be preferably, to allow an even larger program to be completely compiled in njit mode. Today, the list of things known not to work is as follows: - :py:func:`~.integrate_drag_sphere` (uses SciPys's odeint) - The geometry class TANK and HelicalCoil, PlateExchanger, RectangularFinExchanger, HyperbolicCoolingTower, AirCooledExchanger in :py:mod:`fluids.geometry`. - :py:func:`~.SA_partial_horiz_torispherical_head` has numerical issues with numba; they exist in CPython but are handled there with numba-incompatible code. - Everything in :py:mod:`fluids.particle_size_distribution` - Everything in :py:mod:`fluids.atmosphere` except :py:func:`fluids.atmosphere.ATMOSPHERE_1976` - Everything in :py:mod:`fluids.piping` (uses global lookups) - In :py:mod:`fluids.friction`, only :py:func:`~.nearest_material_roughness`, and :py:func:`~.material_roughness`, are unsupported as they use global lookups. - In :py:mod:`fluids.compressible`, :py:func:`~.isothermal_gas`, has experienced some regressions on the part of numba. Numpy Support (fluids.numba_vectorized) --------------------------------------- Numba also allows fluids to provide any of its supported functions as a numpy universal function. Numpy's wonderful broadcasting is implemented, so some arguments can be arrays and some can not. >>> import fluids.numba_vectorized >>> import numpy as np >>> fluids.numba_vectorized.Moody(np.linspace(1e3, 1e4, 5), 1e-4) array([0.06053664, 0.04271113, 0.03677223, 0.03343543, 0.03119781]) >>> fluids.numba_vectorized.Moody(np.linspace(1e3, 1e4, 5), np.linspace(1e-4, 1e-5, 5)) array([0.06053664, 0.0426931 , 0.03672111, 0.03333917, 0.03104575]) Unfortunately, keyword-arguments are not supported by Numba. >>> fluids.numba_vectorized.Moody(Re=np.linspace(1e3, 1e4, 5), eD=np.linspace(1e-4, 1e-5, 5)) # doctest: +SKIP ValueError: invalid number of arguments Also default arguments are not presently supported by Numba. >>> fluids.numba_vectorized.V_horiz_conical(108., 156., 42., np.linspace(0, 4, 4), False) array([ 0. , 3333.2359001 , 9441.84364485, 17370.09634651]) >>> fluids.numba_vectorized.V_horiz_conical(108., 156., 42., np.linspace(0, 4, 4)) # doctest: +SKIP ValueError: invalid number of arguments Yet another unfortunate limitation is that Numba's ufunc machinery will not wrap function calls with multiple return values. >>> fluids.numba_vectorized.Mandhane_Gregory_Aziz_regime(np.array([0.6]), np.array([0.112]), np.array([915.12]), np.array([2.67]), np.array([180E-6]), np.array([14E-6]), np.array([0.065]), np.array([0.05])) # doctest: +SKIP NotImplementedError: Tuple(unicode_type, float64, float64) cannot be represented as a Numpy dtype Despite these limitations is is here that Numba really shines! Arrays are Numba's strength. >>> Res = np.linspace(1e4, 1e7, 10000) >>> %timeit fluids.numba_vectorized.Clamond(Res, 1E-4, False) # doctest: +SKIP 797 µs ± 19 µs per loop (mean ± std. dev. of 7 runs, 1000 loops each) About 80 nanoseconds per friction factor call! As compared to the `fluids.numba` interface (442 ns) and the normal interface (1440 ns): >>> %timeit fluids.numba.Clamond(1e4, 1E-4, False) # doctest: +SKIP 442 ns ± 7.36 ns per loop (mean ± std. dev. of 7 runs, 1000000 loops each) >>> %timeit fluids.Clamond(1e4, 1E-4, False) # doctest: +SKIP 1.44 µs ± 40.5 ns per loop (mean ± std. dev. of 7 runs, 1000000 loops each) Please note this interface is provided, but what works and what doesn't is mostly up to the numba project. This backend is not quite as polished as their normal engine. All of the regular Numba-compiled functions are built with the `nogil` flag, which means you can use Python's threading mechanism effectively to get the speed of parallel processing even without the numba_vectorized interface. fluids-1.0.22/docs/fluids.vectorized.rst0000644000175000017500000000411514302004506017530 0ustar nileshnileshSupport for NumPy arrays (fluids.vectorized) ============================================ Basic submodule that wraps all fluids functions with numpy's :obj:`vectorize `. All other object - dicts, classes, etc - are not wrapped. Where speed is a concern, the newer :obj:`fluids.numba` numpy interface may be used to obtain C/C++/Fortran-level performance on array calculations. >>> import numpy as np >>> import fluids >>> fluids.vectorized.Reynolds(V=2.5, D=np.array([0.25, 0.5, 0.75, 1.0]), rho=1.1613, mu=1.9E-5) array([ 38200.65789474, 76401.31578947, 114601.97368421, 152802.63157895]) Vectorization follows the numpy broadcast rules. >>> fluids.vectorized.Reynolds(V=np.array([1.5, 2.5, 3.5, 5.0]), D=np.array([0.25, 0.5, 0.75, 1.0]), rho=1.1613, mu=1.9E-5) array([ 22920.39473684, 76401.31578947, 160442.76315789, 305605.26315789]) Inputs do not need to be numpy arrays; they can be any iterable: >>> fluids.vectorized.friction_factor(Re=[100, 1000, 10000], eD=0) array([0.64 , 0.064 , 0.03088295]) If you just want to use numpy arrays as inputs to all fluids functions, you can use Python's import aliasing feature to replace fluids with the vectorized version. Note that there are no submodules in `fluids.vectorized`. >>> import fluids.vectorized as fluids .. warning:: This module does not replace the functions in the `fluids` module; it copies all the functions into the `fluids.vectorized` module and makes them vectorized there. For example by importing `fluids.vectorized`, `fluids.friction.friction_factor` won't become vectorized, but `fluids.vectorized.friction_factor` will become available and is vectorized. .. warning:: :obj:`np.vectorize ` does not use NumPy to accelerate any computations; it is a convenience wrapper. If you are working on a problem large enough for speed to be an issue and Numba is compatible with your version of Python, an interface to that library is available at :obj:`fluids.numba` which does accelerate NumPy array computations and is normally faster than using numpy directly. fluids-1.0.22/docs/fluids.control_valve.rst0000644000175000017500000000045714302004506020234 0ustar nileshnileshControl valve sizing and rating (fluids.control_valve) ====================================================== .. meta:: :description: Python module for rating and sizing Control Valves; includes Cv, Kv, Av, IEC 60534-8-4 (2015) and IEC 60534-8-3 (2011). .. automodule:: fluids.control_valve fluids-1.0.22/docs/fluids.safety_valve.rst0000644000175000017500000000034314302004506020041 0ustar nileshnileshSafety/relief valve sizing (fluids.safety_valve) ================================================ .. meta:: :description: Size relief valves using API 520, implemented in Python. .. automodule:: fluids.safety_valve fluids-1.0.22/docs/fluids.drag.rst0000644000175000017500000000057114302004506016271 0ustar nileshnileshDrag and terminal velocity (fluids.drag) ======================================== .. meta:: :description: Calculate terminal velocity and drag coefficient of a moving particle using Python. This module contains most Cd drag coefficient models published. A numerical integrator for the position of a sphere over time is included as well. .. automodule:: fluids.drag fluids-1.0.22/docs/fluids.geometry.rst0000644000175000017500000000036414302004506017207 0ustar nileshnileshTank and Heat Exchanger Design (fluids.geometry) ================================================ .. meta:: :description: Volume and surface area calculations for Tanks and heat exchangers in Python. .. automodule:: fluids.geometry fluids-1.0.22/docs/fluids.packed_bed.rst0000644000175000017500000000037114302004506017413 0ustar nileshnileshPacked bed pressure drop (fluids.packed_bed) ============================================ .. meta:: :description: Implementation of the Ergun packed bed pressure drop correlation among others in Python. .. automodule:: fluids.packed_bed fluids-1.0.22/docs/index.rst0000644000175000017500000000735314302004506015203 0ustar nileshnileshWelcome to Fluids's documentation! ================================== .. meta:: :google-site-verification: wcmDZ88ikLzq1to6urRDGA6R7oIhzya2sN5hOeV1zZw Fluids is open-source software for engineers and technicians working in the fields of chemical, mechanical, or civil engineering. It includes modules for piping, fittings, pumps, tanks, compressible flow, open-channel flow, atmospheric properties, solar properties, particle size distributions, two phase flow, friction factors, control valves, orifice plates and other flow meters, ejectors, relief valves, and more. Module Contents: .. toctree:: :maxdepth: 2 tutorial.rst modules.rst examples.rst data.rst developers.rst Installation ------------ .. image:: http://img.shields.io/pypi/v/fluids.svg?style=flat :target: https://pypi.python.org/pypi/fluids :alt: Version_status .. image:: https://github.com/CalebBell/fluids/workflows/Build/badge.svg :target: https://github.com/CalebBell/fluids/actions :alt: Build_status .. image:: http://img.shields.io/badge/license-MIT-blue.svg?style=flat :target: https://github.com/CalebBell/fluids/blob/master/LICENSE.txt :alt: license .. image:: https://img.shields.io/coveralls/CalebBell/fluids.svg? :target: https://coveralls.io/github/CalebBell/fluids :alt: Coverage .. image:: https://img.shields.io/pypi/pyversions/fluids.svg? :target: https://pypi.python.org/pypi/fluids :alt: Supported_versions .. image:: http://img.shields.io/appveyor/ci/calebbell/fluids.svg? :target: https://ci.appveyor.com/project/calebbell/fluids/branch/master :alt: Build_status .. image:: https://zenodo.org/badge/48924523.svg? :alt: Zendo :target: https://zenodo.org/badge/latestdoi/48924523 Get the latest version of fluids from https://pypi.python.org/pypi/fluids/ If you have an installation of Python with pip, simple install it with: $ pip install fluids Alternatively, if you are using `conda `_ as your package management, you can simply install fluids in your environment from `conda-forge `_ channel with: $ conda install -c conda-forge fluids To get the git version, run: $ git clone git://github.com/CalebBell/fluids.git Latest source code ------------------ The latest development version of fluids's sources can be obtained at https://github.com/CalebBell/fluids Bug reports ----------- To report bugs, please use the fluids's Bug Tracker at: https://github.com/CalebBell/fluids/issues If you have further questions about the usage of the library, feel free to contact the author at Caleb.Andrew.Bell@gmail.com. License information ------------------- Fluids is MIT licensed. See ``LICENSE.txt`` for full information on the terms & conditions for usage of this software, and a DISCLAIMER OF ALL WARRANTIES. Although not required by the fluids license, if it is convenient for you, please cite fluids if used in your work. Please also consider contributing any changes you make back, such that they may be incorporated into the main library and all of us will benefit from them. Compliance information ---------------------- The author testifies that this software is not subject to the US EAR. The country of origin of this software is Canada. The author also confirms confirm that this software is not developed by, contain components developed by, or receive substantial influence from entities prohibited by Section 889 of the 2019 NDAA. Citation -------- To cite fluids in publications use:: Caleb Bell (2016-2021). fluids: Fluid dynamics component of Chemical Engineering Design Library (ChEDL) https://github.com/CalebBell/fluids. Indices and tables ================== * :ref:`genindex` * :ref:`modindex` * :ref:`search` fluids-1.0.22/docs/fluids.jet_pump.rst0000644000175000017500000000040714302004506017175 0ustar nileshnileshJet Pump (ejector/eductor) Sizing and Rating (fluids.jet_pump) ============================================================== .. meta:: :description: Python solvers for modeling a jet pump, and ejector, or an eductor. .. automodule:: fluids.jet_pump fluids-1.0.22/docs/fluids.open_flow.rst0000644000175000017500000000041114302004506017335 0ustar nileshnileshHydrology, weirs and open flow (fluids.open_flow) ================================================= .. meta:: :description: Implementation of common hydrology calculations like the Manning and Chezy equations and weirs. .. automodule:: fluids.open_flow fluids-1.0.22/.gitignore0000644000175000017500000000140014302004506014365 0ustar nileshnilesh*.pyc .gitignore .pytype .pypirc dist MANIFEST .coverage htmlcov .cache __pycache__ *kate-swp .spyproject fluids.egg-info prof .mypy_cache monkeytype.sqlite3 .asv fluids.build node_modules package-lock.json # Compiled source # ################### *.com *.class *.dll *.exe *.o *.so *.pyo *.idea *$py.class # Packages # ############ # it's better to unpack these files and commit the raw source # git has its own built in compression methods *.7z *.dmg *.gz *.iso *.jar *.rar *.tar #*.zip # Logs and databases # ###################### *.log *.sql *.sqlite # OS generated files # ###################### .DS_Store .DS_Store? .ipynb_checkpoints ._* _* .Spotlight-V100 .Trashes ehthumbs.db Thumbs.db .pytest_cache/ word_whitelist.txt simple_geolocator_cache.sqlite3 fluids-1.0.22/MANIFEST.in0000644000175000017500000000100214302004506014131 0ustar nileshnileshinclude LICENSE.txt AUTHORS README.rst pytest.ini recursive-include tests * recursive-include docs * global-exclude __pycache__ global-exclude *.py[co] global-exclude *.coverage global-exclude *.so global-exclude *.ipynb_checkpoints global-exclude ipynb_checkpoints global-exclude *-checkpoint.ipynb global-exclude *checkpoint* global-exclude .*ipynb_checkpoints* prune "docs/Examples/Crane TP 410 Solved Problems/.ipynb_checkpoints/" prune docs/Data/.ipynb_checkpoints/ recursive-exclude docs *ipynb_checkpoints fluids-1.0.22/CONTRIBUTING.md0000644000175000017500000000010614302004506014630 0ustar nileshnileshPlease see https://fluids.readthedocs.io/developers.html#contributing fluids-1.0.22/dev/0000755000175000017500000000000014302004506013160 5ustar nileshnileshfluids-1.0.22/dev/prerelease.py0000644000175000017500000000170614302004506015665 0ustar nileshnileshimport sys import os import importlib.util if sys.version_info.major != 3 and sys.version_info.minor != 7: raise ValueError("""This prerelease script will only run on Python 3.7. Some parts of a library change the last few decimals numbers between releases, and other parts only have obsolete dependencies i.e. pint on Python 2. For that reason, while the pytest test suite runs everywhere, the notebooks and doctests only run on one platform.""") import fluids main_dir = os.path.dirname(os.path.dirname(os.path.realpath(__file__))) test_dir = os.path.join(main_dir, 'tests') os.chdir(test_dir) mod_spec = importlib.util.spec_from_file_location("make_test_stubs", os.path.join(test_dir, "make_test_stubs.py")) make_test_stubs = importlib.util.module_from_spec(mod_spec) mod_spec.loader.exec_module(make_test_stubs) import pytest os.chdir(main_dir) pytest.main(["--doctest-glob='*.rst'", "--doctest-modules", "--nbval", "-n", "3", "--dist", "loadscope", "-v"]) fluids-1.0.22/mypy.ini0000644000175000017500000000072214302004506014102 0ustar nileshnilesh[mypy] [mypy-scipy.*] ignore_missing_imports = True [mypy-numba.*] ignore_missing_imports = True [mypy-mpmath.*] ignore_missing_imports = True [mypy-sympy.*] ignore_missing_imports = True [mypy-matplotlib.*] ignore_missing_imports = True [mypy-geopy.*] ignore_missing_imports = True [mypy-appdirs.*] ignore_missing_imports = True [mypy-pandas.*] ignore_missing_imports = True [mypy-pvlib.*] ignore_missing_imports = True [mypy-pint.*] ignore_missing_imports = True fluids-1.0.22/changelog.md0000644000175000017500000000657714302004506014672 0ustar nileshnilesh# Changelog ## [Unreleased] ## [0.1.84] - 2020-08-01 ### Added - Finished adding Crane TP 410 sample problems - Add basic type stubs generated by monkeytype - Remove deprecated AvailableMethods argument in some functions - Add prerelease.py script which checks the doctests, notebook output and runs monkeytype - Add ability to specify the TANK class using two secondary variables, such as surface area and volume - Add laminar flow data for flow meters by Hollingshead - Improvements to numba interface, and enable caching for it - Add several plastic pipe schedules - Improve a few numerical issues - '40D1527','80D1527', 'ABSD2680','PVCD2680', 'DR25C900','DR18C900','DR14C900', 'CIDR51C905','CIDR41C905','CIDR325C905','CIDR25C905','CIDR21C905','CIDR18C905','CIDR14C905', 'IPSDR21','IPSDR26','IPSDR325','IPSDR41', 'PS115F679','PS75F679','PS46F679', 'PVCD2665', '40D1785','80D1785','120D1785', 'DR135D2241','DR17D2241','DR21D2241','DR26D2241','DR325D2241','DR41D2241','DR64D2241', 'DR21D2241CTS','DR17D2241CTS','DR135D2241CTS','DR11D2241CTS', 'DR21D2241PIP','DR26D2241PIP','DR325D2241PIP','DR35D2241PIP','DR41D2241PIP','DR51D2241PIP','DR81D2241PIP', 'S40F441IPS','S80F441IPS','S40F441SI','S80F441SI' 'DR325F2619SI','DR26F2619SI','DR21F2619SI','DR17F2619SI','DR135F2619SI','DR11F2619SI','DR9F2619SI','DR73F2619SI','DR7F2619SI', 'DR325F2619IPS','DR26F2619IPS','DR21F2619IPS','DR17F2619IPS','DR135F2619IPS','DR11F2619IPS','DR9F2619IPS','DR73F2619IPS','DR7F2619IPS', ### Fixed - Fixed a bug where in the pint interface for units which were dimensionless, but had not had their dimensions cancelled out yet, the incorrect magnitude was passed to the underlying functions. ## [0.1.82] - 2020-06-14 ### Added - Expose C2K, K2C, F2C, C2F, F2K, K2F, C2R, K2R, F2R, R2C, R2K, R2F to public interface of fluids.core so they can be used with numba, fluids.vectorized - Speed up some unit tests - Add numba interface which offers speed boosts and allows interoperability with programs using numba - Added methods friction_factor_methods, friction_factor_curved_methods, dP_packed_bed_methods, drag_sphere_methods, two_phase_dP_methods, gas_liquid_viscosity_methods, liquid_gas_voidage_methods to easily find which correlations are applicable to the a given parameter range. ### Removed - The AvailableMethods argument in the functions which had it is now deprecated! Changing the return type of a function does not work with numba, and will limit the future ability of fluids to possibly provide typing information i.e. for MyPy. It is also considered bad practice by some, although it is quite popular and used in libraries like SciPy. ## [0.1.81] - 2020-06-06 ### Added - Updated solar_irradiation, solar_position, earthsun_distance, sunrise_sunset to take and return timezone information. ### Changed - Updated tutorial with new results; almost all are small changes. - Preliminary work on a numba interface. - Tentative adaptive `quad` function implementation to perform integration fast with PyPy - Misc try/excepts which allow the library to be loaded in micropython - Misc try/excepts which allow the library to be loaded in IronPython ### Removed - Nothing ### Fixed - solar_irradiation, and solar_position incorrectly were assuming the timezone of the computer the calculation was run on. This has been remedied; the documentation has been updated to show the timezone now can be in either UTC time zone or with a time zone information provided.fluids-1.0.22/appveyor.yml0000644000175000017500000000200514302004506014767 0ustar nileshnilesh# File after https://github.com/jowr/jopy/blob/master/appveyor.yml, copyright predominately Jorrit Wronski # Tell appveyor to not use msbuild build: false environment: matrix: # - PYTHON: 2.7 # - PYTHON: 3.3 # 3.3's quad or interpolate worked differently in some cases, not worth testing with # - PYTHON: 3.5 # pint dropped support so tests fail - PYTHON: 3.6 - PYTHON: 3.7 - PYTHON: 3.8 - PYTHON: 3.9 platform: - x86 - x64 init: - "ECHO %PYTHON%" - cmd: SET PATH=C:\Miniconda3\Scripts;C:\Miniconda\Scripts;%PATH% - cmd: conda update -yq conda - cmd: conda install -yq conda-env conda-build - cmd: conda create -yq -n condaenv python=%PYTHON% install: - cmd: activate condaenv - cmd: conda install -yq numpy scipy pip pytest pandas numba IPython sphinx - cmd: pip install pytest-cov coveralls sympy fuzzywuzzy pint pytz sphinx matplotlib test_script: - cmd: py.test --cov-report html --cov=fluids -m "not online and not thermo and not numba" branches: only: - release fluids-1.0.22/LICENSE.txt0000644000175000017500000000210214302004506014220 0ustar nileshnileshCopyright (C) 2016-2021, Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. fluids-1.0.22/README.rst0000644000175000017500000001076314302004506014100 0ustar nileshnilesh====== fluids ====== .. image:: http://img.shields.io/pypi/v/fluids.svg?style=flat :target: https://pypi.python.org/pypi/fluids :alt: Version_status .. image:: http://img.shields.io/badge/docs-latest-brightgreen.svg?style=flat :target: https://fluids.readthedocs.io/ :alt: Documentation .. image:: https://github.com/CalebBell/fluids/workflows/Build/badge.svg :target: https://github.com/CalebBell/fluids/actions :alt: Build_status .. image:: http://img.shields.io/badge/license-MIT-blue.svg?style=flat :target: https://github.com/CalebBell/fluids/blob/master/LICENSE.txt :alt: license .. image:: https://img.shields.io/coveralls/CalebBell/fluids.svg?release :target: https://coveralls.io/github/CalebBell/fluids :alt: Coverage .. image:: https://img.shields.io/pypi/pyversions/fluids.svg? :target: https://pypi.python.org/pypi/fluids :alt: Supported_versions .. image:: http://img.shields.io/appveyor/ci/calebbell/fluids.svg? :target: https://ci.appveyor.com/project/calebbell/fluids/branch/master :alt: Build_status .. image:: https://zenodo.org/badge/48924523.svg? :alt: Zendo :target: https://zenodo.org/badge/latestdoi/48924523 .. contents:: What is Fluids? --------------- Fluids is open-source software for engineers and technicians working in the fields of chemical, mechanical, or civil engineering. It includes modules for piping, fittings, pumps, tanks, compressible flow, open-channel flow, atmospheric properties, solar properties, particle size distributions, two phase flow, friction factors, control valves, orifice plates and other flow meters, ejectors, relief valves, and more. The fluids library is designed to be a low-overhead, lightweight repository of engineering knowledge and utilities that relate to fluid dynamics. Fluids was originally tightly integrated with SciPy and NumPy; today they are optional components used for only a small amount of functionality which do not have pure-Python numerical methods implemented. Fluids targets Python 2.7 and up as well as PyPy2 and PyPy3. Additionally, fluids has been tested by the author to load in IronPython, Jython, and micropython. While the routines in Fluids are normally quite fast and as efficiently coded as possible, depending on the application there can still be a need for further speed. PyPy provides a substantial speed boost of 6-12 times for most methods. Fluids also supports Numba, a powerful accelerator that works well with NumPy. The Numba interface to fluids also makes it easy to multithread execution as well, avoiding Python GIL issue. Fluids runs on all operating systems which support Python, is quick to install, and is free of charge. Fluids is designed to be easy to use while still providing powerful functionality. If you need to perform some fluid dynamics calculations, give fluids a try. Installation ------------ Get the latest version of fluids from https://pypi.python.org/pypi/fluids/ If you have an installation of Python with pip, simple install it with: $ pip install fluids Alternatively, if you are using `conda `_ as your package management, you can simply install fluids in your environment from `conda-forge `_ channel with: $ conda install -c conda-forge fluids To get the git version, run: $ git clone git://github.com/CalebBell/fluids.git Documentation ------------- fluids's documentation is available on the web: http://fluids.readthedocs.io/ Latest source code ------------------ The latest development version of fluids's sources can be obtained at https://github.com/CalebBell/fluids Bug reports ----------- To report bugs, please use the fluids's Bug Tracker at: https://github.com/CalebBell/fluids/issues If you have further questions about the usage of the library, feel free to contact the author at Caleb.Andrew.Bell@gmail.com. License information ------------------- Fluids is MIT licensed. See ``LICENSE.txt`` for full information on the terms & conditions for usage of this software, and a DISCLAIMER OF ALL WARRANTIES. Although not required by the fluids license, if it is convenient for you, please cite fluids if used in your work. Please also consider contributing any changes you make back, such that they may be incorporated into the main library and all of us will benefit from them. Citation -------- To cite fluids in publications use:: Caleb Bell (2016-2021). fluids: Fluid dynamics component of Chemical Engineering Design Library (ChEDL) https://github.com/CalebBell/fluids. fluids-1.0.22/conftest.py0000644000175000017500000000413414302004506014603 0ustar nileshnileshimport sys import platform is_pypy = 'PyPy' in sys.version def pytest_ignore_collect(path): path = str(path) if 'manual_runner' in path or 'make_test_stubs' in path or 'plot' in path or 'prerelease' in path: return True ver_tup = platform.python_version_tuple()[0:2] ver_tup = tuple(int(i) for i in ver_tup) if 'benchmarks' in path: return True if 'conf.py' in path: return True if ver_tup < (3, 7) or ver_tup >= (3, 11) or is_pypy: # numba does not yet run under pypy if 'numba' in path: return True if '.rst' in path: # skip .rst tests as different rendering from pint and no support for NUMBER flag return True if sys.version[0] == '2': if 'numba' in path or 'typing_utils' in path: return True #if 'rst' in path: # if platform.python_version_tuple()[0:2] != ('3', '7'): # return True if 'test' not in path: return True if 'ipynb' in path and 'bench' in path: return True #def pytest_addoption(parser, pluginmanager): # if sys.version[0] == '323523': # parser.addoption("--doctest-modules") # parser.addini(name="doctest_optionflags", help="", default="NORMALIZE_WHITESPACE NUMBER") #def pytest_configure(config): # print(config) #open('/home/caleb/testoutput', 'w').write(str(1)) #if sys.version[0] == '2': # args = [] # #print(args) def pytest_load_initial_conftests(args): a = 1 b = 2 def pytest_configure(config): if sys.version[0] == '3': import pytest if pytest.__version__.split('.')[0] >= '6': config.addinivalue_line("addopts", '--doctest-modules') config.option.doctestmodules = True config.addinivalue_line("doctest_optionflags", "NUMBER") # config.addinivalue_line("addopts", config.inicfg['addopts'].replace('//', '') + ' --doctest-modules') #config.inicfg['addopts'] = config.inicfg['addopts'] + ' --doctest-modules' # config.addinivalue_line("doctest_optionflags", "NORMALIZE_WHITESPACE") fluids-1.0.22/Makefile0000644000175000017500000000145514302004506014047 0ustar nileshnileshPYTHON_FILES:= $(wildcard fluids/*.py) COVERAGE:= coverage path_to_pymodule = $(subst /,.,$(basename $(1))) unittests: clean run html annotate RUN_SUFFIX:= runfile RUN_FILES:= $(addsuffix .$(RUN_SUFFIX),$(PYTHON_FILES)) run: $(RUN_FILES) %.$(RUN_SUFFIX): % $(COVERAGE) run -m -a --include="fluids/*" $(call path_to_pymodule,$<) @touch $@ HTML_DIR:= html_report html: $(HTML_DIR) run $(COVERAGE) html -d $< ANNOTATED_DIR:= code_coverage ANNOTATED_FILES:= $(foreach file,$(PYTHON_FILES),$(ANNOTATED_DIR)/$(file),cover) annotate: $(ANNOTATED_FILES) $(ANNOTATED_DIR)/%,cover: $(ANNOTATED_DIR) % $(COVERAGE) annotate -d $< $(word 2,$^) clean: $(COVERAGE) erase rm -rf $(HTML_DIR) rm -rf $(ANNOTATED_DIR) rm -rf $$(find . -name "*.$(RUN_SUFFIX)" -type f) $(ANNOTATED_DIR) $(HTML_DIR): mkdir -p $@ fluids-1.0.22/requirements_test.txt0000644000175000017500000000017714302004506016732 0ustar nileshnileshscipy pytest pytest-cov coveralls sympy; python_version>='3' fuzzywuzzy pint pytz numpy pandas IPython sphinx wheel matplotlib fluids-1.0.22/requirements_docs.txt0000644000175000017500000000015514302004506016677 0ustar nileshnileshnumpy scipy numpydoc pint nbsphinx ipython numba sphinxcontrib-katex sphinx-sitemap sphinx==4.3.0 matplotlib fluids-1.0.22/setup.py0000644000175000017500000000762014302004506014121 0ustar nileshnilesh# -*- coding: utf-8 -*- '''Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2016-2021, Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.''' from setuptools import setup classifiers = [ 'Development Status :: 5 - Production/Stable', 'Intended Audience :: Developers', 'Intended Audience :: Education', 'Intended Audience :: Manufacturing', 'Intended Audience :: Science/Research', 'License :: OSI Approved :: MIT License', 'Natural Language :: English', 'Operating System :: MacOS', 'Operating System :: Microsoft :: Windows', 'Operating System :: POSIX', 'Operating System :: POSIX :: BSD', 'Operating System :: POSIX :: Linux', 'Operating System :: Unix', 'Programming Language :: Python', 'Programming Language :: Python :: 2', 'Programming Language :: Python :: 2.7', 'Programming Language :: Python :: 3', 'Programming Language :: Python :: 3.5', 'Programming Language :: Python :: 3.6', 'Programming Language :: Python :: 3.7', 'Programming Language :: Python :: 3.8', 'Programming Language :: Python :: 3.9', 'Programming Language :: Python :: 3.10', 'Programming Language :: Python :: 3.11', 'Programming Language :: Python :: Implementation :: CPython', 'Programming Language :: Python :: Implementation :: PyPy', 'Programming Language :: Python :: Implementation :: MicroPython', 'Programming Language :: Python :: Implementation :: IronPython', 'Programming Language :: Python :: Implementation :: Jython', 'Topic :: Education', 'Topic :: Scientific/Engineering :: Atmospheric Science', 'Topic :: Scientific/Engineering :: Chemistry', 'Topic :: Scientific/Engineering :: Physics', ] description = 'Fluid dynamics component of Chemical Engineering Design Library (ChEDL)' keywords = ('fluid dynamics atmosphere pipe fluids compressible fluid dynamics ' 'chemical engineering mechanical engineering valve open channel ' 'tank friction pressure drop two phase pump drag reynolds ' 'sedimentation engineering pipeline process simulation particle ' 'size distribution') setup( name='fluids', packages=['fluids'], license='MIT', version='1.0.22', download_url='https://github.com/CalebBell/fluids/tarball/1.0.22', description=description, long_description=open('README.rst').read(), install_requires=["numpy>=1.5.0", "scipy>=0.9.0"], extras_require={ 'Coverage documentation': ['wsgiref>=0.1.2', 'coverage>=4.0.3', 'pint'] }, author='Caleb Bell', author_email='Caleb.Andrew.Bell@gmail.com', platforms=['Windows', 'Linux', 'Mac OS', 'Unix'], url='https://github.com/CalebBell/fluids', keywords=keywords, classifiers=classifiers, package_data={ 'fluids': [ 'data/*', 'nrlmsise00/*', 'optional/*', 'numerics/*', 'constants/*' ] }, ) fluids-1.0.22/asv.conf.json0000644000175000017500000001537614302004506015026 0ustar nileshnilesh{ // The version of the config file format. Do not change, unless // you know what you are doing. "version": 1, // The name of the project being benchmarked "project": "fluids", // The project's homepage "project_url": "https://github.com/CalebBell/fluids/", // The URL or local path of the source code repository for the // project being benchmarked "repo": ".", // The Python project's subdirectory in your repo. If missing or // the empty string, the project is assumed to be located at the root // of the repository. // "repo_subdir": "", // Customizable commands for building, installing, and // uninstalling the project. See asv.conf.json documentation. // "install_command": ["in-dir={env_dir} python -mpip install {wheel_file}", "python -mpip install numba IPython"], // "uninstall_command": ["return-code=any python -mpip uninstall -y {project}"], // "build_command": [ // "python setup.py build", // "PIP_NO_BUILD_ISOLATION=false python -mpip wheel --no-deps --no-index -w {build_cache_dir} {build_dir}" // ], // List of branches to benchmark. If not provided, defaults to "master" // (for git) or "default" (for mercurial). // "branches": ["master"], // for git // "branches": ["default"], // for mercurial // The DVCS being used. If not set, it will be automatically // determined from "repo" by looking at the protocol in the URL // (if remote), or by looking for special directories, such as // ".git" (if local). // "dvcs": "git", // The tool to use to create environments. May be "conda", // "virtualenv" or other value depending on the plugins in use. // If missing or the empty string, the tool will be automatically // determined by looking for tools on the PATH environment // variable. "environment_type": "virtualenv", // timeout in seconds for installing any dependencies in environment // defaults to 10 min //"install_timeout": 600, // the base URL to show a commit for the project. // "show_commit_url": "http://github.com/owner/project/commit/", // The Pythons you'd like to test against. If not provided, defaults // to the current version of Python used to run `asv`. // "pythons": ["2.7", "3.6"], // The list of conda channel names to be searched for benchmark // dependency packages in the specified order // "conda_channels": ["conda-forge", "defaults"], // The matrix of dependencies to test. Each key is the name of a // package (in PyPI) and the values are version numbers. An empty // list or empty string indicates to just test against the default // (latest) version. null indicates that the package is to not be // installed. If the package to be tested is only available from // PyPi, and the 'environment_type' is conda, then you can preface // the package name by 'pip+', and the package will be installed via // pip (with all the conda available packages installed first, // followed by the pip installed packages). // // "matrix": { // "numpy": ["1.6", "1.7"], // "six": ["", null], // test with and without six installed // "pip+emcee": [""], // emcee is only available for install with pip. // }, // Combinations of libraries/python versions can be excluded/included // from the set to test. Each entry is a dictionary containing additional // key-value pairs to include/exclude. // // An exclude entry excludes entries where all values match. The // values are regexps that should match the whole string. // // An include entry adds an environment. Only the packages listed // are installed. The 'python' key is required. The exclude rules // do not apply to includes. // // In addition to package names, the following keys are available: // // - python // Python version, as in the *pythons* variable above. // - environment_type // Environment type, as above. // - sys_platform // Platform, as in sys.platform. Possible values for the common // cases: 'linux2', 'win32', 'cygwin', 'darwin'. // // "exclude": [ // {"python": "3.2", "sys_platform": "win32"}, // skip py3.2 on windows // {"environment_type": "conda", "six": null}, // don't run without six on conda // ], // // "include": [ // // additional env for python2.7 // {"python": "2.7", "numpy": "1.8"}, // // additional env if run on windows+conda // {"platform": "win32", "environment_type": "conda", "python": "2.7", "libpython": ""}, // ], // The directory (relative to the current directory) that benchmarks are // stored in. If not provided, defaults to "benchmarks" // "benchmark_dir": "benchmarks", // The directory (relative to the current directory) to cache the Python // environments in. If not provided, defaults to "env" "env_dir": ".asv/env", // The directory (relative to the current directory) that raw benchmark // results are stored in. If not provided, defaults to "results". "results_dir": ".asv/results", // The directory (relative to the current directory) that the html tree // should be written to. If not provided, defaults to "html". "html_dir": ".asv/html", // The number of characters to retain in the commit hashes. // "hash_length": 8, // `asv` will cache results of the recent builds in each // environment, making them faster to install next time. This is // the number of builds to keep, per environment. // "build_cache_size": 2, // The commits after which the regression search in `asv publish` // should start looking for regressions. Dictionary whose keys are // regexps matching to benchmark names, and values corresponding to // the commit (exclusive) after which to start looking for // regressions. The default is to start from the first commit // with results. If the commit is `null`, regression detection is // skipped for the matching benchmark. // // "regressions_first_commits": { // "some_benchmark": "352cdf", // Consider regressions only after this commit // "another_benchmark": null, // Skip regression detection altogether // }, // The thresholds for relative change in results, after which `asv // publish` starts reporting regressions. Dictionary of the same // form as in ``regressions_first_commits``, with values // indicating the thresholds. If multiple entries match, the // maximum is taken. If no entry matches, the default is 5%. // // "regressions_thresholds": { // "some_benchmark": 0.01, // Threshold of 1% // "another_benchmark": 0.5, // Threshold of 50% // }, } fluids-1.0.22/environment.yml0000644000175000017500000000015314302004506015470 0ustar nileshnileshname: fluids dependencies: - python - numpy - matplotlib - pandas - scipy - pip: - fluids fluids-1.0.22/AUTHORS0000644000175000017500000000011414302004506013446 0ustar nileshnileshCaleb Bell Joshua Milas fluids-1.0.22/pytest.ini0000644000175000017500000000124014302004506014430 0ustar nileshnilesh[pytest] addopts = --doctest-glob='*.rst' --ignore='setup.py' --ignore='manual_runner.py' --ignore='make_test_stubs.py' norecursedirs = .cache .git htmlcov notebooks dist doctest_optionflags= NORMALIZE_WHITESPACE markers = slow: slow tests thermo: relies on the thermo library, for integration testing online: needs internet mpmath: needs mpmath to check results against a higher-precision result fuzz: test not relevant to normal development, but can reveal bugs or provide certainty the results are correct numba : numba scipy : Needs scipy to work numpy : Needs numpy to work f2py : Needs f2py to work pytz : Needs pytz to work fluids-1.0.22/.coveragerc0000644000175000017500000000043114302004506014521 0ustar nileshnilesh# .coveragerc to control coverage.py [run] branch = True relative_files = True omit = # omit anything in a .local directory anywhere *nrlmsise_00.py *arrays.py *design_climate.py *pychebfun.py [report] exclude_lines = pragma: no cover def __repr__ fluids-1.0.22/fluids/0000755000175000017500000000000014302004506013670 5ustar nileshnileshfluids-1.0.22/fluids/particle_size_distribution.py0000644000175000017500000034675114302004506021716 0ustar nileshnilesh# -*- coding: utf-8 -*- """Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2016, 2017, 2018, 2019, 2020 Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. This module contains particle distribution characterization, fitting, interpolating, and manipulation functions. It may be used with discrete particle size distributions, or with statistical ones with parameters specified. For reporting bugs, adding feature requests, or submitting pull requests, please use the `GitHub issue tracker `_ or contact the author at Caleb.Andrew.Bell@gmail.com. .. contents:: :local: Particle Size Distribution Base Class ------------------------------------- .. autoclass:: ParticleSizeDistributionContinuous :members: Discrete Particle Size Distributions ------------------------------------ .. autoclass:: ParticleSizeDistribution :members: .. autoclass:: PSDInterpolated :members: Statistical Particle Size Distributions --------------------------------------- .. autoclass:: PSDLognormal :members: .. autoclass:: PSDGatesGaudinSchuhman :members: .. autoclass:: PSDRosinRammler :members: .. autoclass:: PSDCustom :members: Helper functions: Lognormal Distribution ---------------------------------------- .. autofunction:: pdf_lognormal .. autofunction:: cdf_lognormal .. autofunction:: pdf_lognormal_basis_integral Helper functions: Gates Gaudin Schuhman Distribution ---------------------------------------------------- .. autofunction:: pdf_Gates_Gaudin_Schuhman .. autofunction:: cdf_Gates_Gaudin_Schuhman .. autofunction:: pdf_Gates_Gaudin_Schuhman_basis_integral Helper functions: Rosin Rammler Distribution -------------------------------------------- .. autofunction:: pdf_Rosin_Rammler .. autofunction:: cdf_Rosin_Rammler .. autofunction:: pdf_Rosin_Rammler_basis_integral Sieves ------ .. autoclass:: Sieve .. autodata:: ASTM_E11_sieves .. autodata:: ISO_3310_1_sieves .. autodata:: ISO_3310_1_R20 .. autodata:: ISO_3310_1_R20_3 .. autodata:: ISO_3310_1_R40_3 .. autodata:: ISO_3310_1_R10 Point Spacing ------------- .. autofunction:: psd_spacing """ from __future__ import division __all__ = ['ParticleSizeDistribution', 'ParticleSizeDistributionContinuous', 'PSDLognormal', 'PSDGatesGaudinSchuhman', 'PSDRosinRammler', 'PSDInterpolated', 'PSDCustom', 'psd_spacing', 'pdf_lognormal', 'cdf_lognormal', 'pdf_lognormal_basis_integral', 'pdf_Gates_Gaudin_Schuhman', 'cdf_Gates_Gaudin_Schuhman', 'pdf_Gates_Gaudin_Schuhman_basis_integral', 'pdf_Rosin_Rammler', 'cdf_Rosin_Rammler', 'pdf_Rosin_Rammler_basis_integral', 'ASTM_E11_sieves', 'ISO_3310_1_sieves', 'Sieve', 'ISO_3310_1_R20_3', 'ISO_3310_1_R20', 'ISO_3310_1_R10', 'ISO_3310_1_R40_3'] from math import log, exp, pi, log10, sqrt from fluids.numerics import (brenth, epsilon, gamma, erf, gammaincc, linspace, logspace, cumsum, diff, normalize, quad) ROOT_TWO_PI = sqrt(2.0*pi) NO_MATPLOTLIB_MSG = 'Optional dependency matplotlib is required for plotting' class Sieve(object): r'''Class for storing data on sieves. If a property is not available, it is set to None. Attributes ---------- designation : str The standard name of the sieve - its opening's length in units of millimeters old_designation : str The older, imperial-esque name of the sieve; in Numbers, or inches for large sieves opening : float The opening length of the sieve holes, [m] opening_inch : float The opening length of the sieve holes in the rounded inches as stated in common tables (not exactly equal to the `opening`), [inch] Y_variation_avg : float The allowable average variation in the Y direction of the sieve openings, [m] X_variation_max : float The allowable maximum variation in the X direction of the sieve openings, [m] max_opening : float The maximum allowable opening of the sieve, [m] calibration_samples : float The number of opening sample inspections required for `calibration`- type sieve openings (per 100 ft^2 of sieve material), [1/(ft^2)] compliance_sd : float The maximum standard deviation of `compliance`-type sieve openings, [-] inspection_samples : float The number of opening sample inspections required for `inspection`- type sieve openings (based on an 8-inch sieve), [-] inspection_sd : float The maximum standard deviation of `inspection`-type sieve openings, [-] calibration_samples : float The number of opening sample inspections required for `calibration`- type sieve openings (based on an 8-inch sieve), [-] calibration_sd : float The maximum standard deviation of `calibration`-type sieve openings, [-] d_wire : float Typical wire diameter of the specified sieve size, [m] d_wire_min : float Permissible minimum wire diameter of specified sieve size, [m] d_wire_max : float Permissible maximum wire diameter of specified sieve size, [m] ''' __slots__ = ('designation', 'old_designation', 'opening', 'opening_inch', 'Y_variation_avg', 'X_variation_max', 'max_opening', 'calibration_samples', 'compliance_sd', 'inspection_samples', 'inspection_sd', 'calibration_samples', 'calibration_sd', 'd_wire', 'd_wire_min', 'd_wire_max', 'compliance_samples') # def __repr__(self): # s = 'Sieve(%s)' # s2 = '' # for attr, value in self.__dict__.items(): # if value is not None: # if type(value) == float: # value = round(value, 8) # elif type(value) == str: # value = "'" + value + "'" # s2 += '%s=%s, '%(attr, value) # s2 = s2[0:-2] # return s %(s2) def __repr__(self): return '' %(self.designation, self.opening) def __init__(self, designation, old_designation=None, opening=None, opening_inch=None, Y_variation_avg=None, X_variation_max=None, max_opening=None, compliance_samples=None, compliance_sd=None, inspection_samples=None, inspection_sd=None, calibration_samples=None, calibration_sd=None, d_wire=None, d_wire_min=None, d_wire_max=None): self.designation = designation self.old_designation = old_designation self.opening_inch = opening_inch self.opening = opening self.Y_variation_avg = Y_variation_avg self.X_variation_max = X_variation_max self.max_opening = max_opening self.compliance_samples = compliance_samples self.compliance_sd = compliance_sd self.inspection_samples = inspection_samples self.inspection_sd = inspection_sd self.calibration_samples = calibration_samples self.calibration_sd = calibration_sd self.d_wire = d_wire self.d_wire_min = d_wire_min self.d_wire_max = d_wire_max ASTM_E11_sieves = {'0.02': Sieve(calibration_samples=300.0, d_wire_min=2e-08, d_wire=2e-08, inspection_sd=4.51, calibration_sd=4.75, old_designation='No. 635', opening=2e-05, compliance_samples=1000.0, opening_inch=8e-07, inspection_samples=100.0, designation='0.02', d_wire_max=2e-08, max_opening=0.035, X_variation_max=1.5e-05, Y_variation_avg=2.3e-06, compliance_sd=5.33), '0.025': Sieve(calibration_samples=300.0, d_wire_min=2e-08, d_wire=3e-08, inspection_sd=4.82, calibration_sd=5.06, old_designation='No. 500', opening=2.5e-05, compliance_samples=1000.0, opening_inch=1e-06, inspection_samples=100.0, designation='0.025', d_wire_max=3e-08, max_opening=0.041, X_variation_max=1.6e-05, Y_variation_avg=2.5e-06, compliance_sd=5.71), '0.032': Sieve(calibration_samples=300.0, d_wire_min=2e-08, d_wire=3e-08, inspection_sd=5.42, calibration_sd=5.71, old_designation='No. 450', opening=3.2e-05, compliance_samples=1000.0, opening_inch=1.2e-06, inspection_samples=100.0, designation='0.032', d_wire_max=3e-08, max_opening=0.05, X_variation_max=1.8e-05, Y_variation_avg=2.7e-06, compliance_sd=6.42), '0.038': Sieve(calibration_samples=300.0, d_wire_min=2e-08, d_wire=3e-08, inspection_sd=5.99, calibration_sd=6.31, old_designation='No. 400', opening=3.8e-05, compliance_samples=1000.0, opening_inch=1.5e-06, inspection_samples=100.0, designation='0.038', d_wire_max=3e-08, max_opening=0.058, X_variation_max=2e-05, Y_variation_avg=2.9e-06, compliance_sd=7.09), '0.045': Sieve(calibration_samples=250.0, d_wire_min=3e-08, d_wire=3e-08, inspection_sd=6.56, calibration_sd=6.84, old_designation='No. 325', opening=4.5e-05, compliance_samples=1000.0, opening_inch=1.7e-06, inspection_samples=100.0, designation='0.045', d_wire_max=4e-08, max_opening=0.067, X_variation_max=2.2e-05, Y_variation_avg=3.1e-06, compliance_sd=7.76), '0.053': Sieve(calibration_samples=250.0, d_wire_min=3e-08, d_wire=4e-08, inspection_sd=7.13, calibration_sd=7.44, old_designation='No. 270', opening=5.3e-05, compliance_samples=1000.0, opening_inch=2.1e-06, inspection_samples=100.0, designation='0.053', d_wire_max=4e-08, max_opening=0.077, X_variation_max=2.4e-05, Y_variation_avg=3.4e-06, compliance_sd=8.44), '0.063': Sieve(calibration_samples=250.0, d_wire_min=4e-08, d_wire=5e-08, inspection_sd=7.76, calibration_sd=8.09, old_designation='No. 230', opening=6.3e-05, compliance_samples=1000.0, opening_inch=2.5e-06, inspection_samples=100.0, designation='0.063', d_wire_max=5e-08, max_opening=0.089, X_variation_max=2.6e-05, Y_variation_avg=3.7e-06, compliance_sd=9.18), '0.075': Sieve(calibration_samples=250.0, d_wire_min=4e-08, d_wire=5e-08, inspection_sd=8.64, calibration_sd=9.02, old_designation='No. 200', opening=7.5e-05, compliance_samples=1000.0, opening_inch=2.9e-06, inspection_samples=100.0, designation='0.075', d_wire_max=6e-08, max_opening=0.104, X_variation_max=2.9e-05, Y_variation_avg=4.1e-06, compliance_sd=10.23), '0.09': Sieve(calibration_samples=200.0, d_wire_min=5e-08, d_wire=6e-08, inspection_sd=9.53, calibration_sd=9.8, old_designation='No. 170', opening=9e-05, compliance_samples=1000.0, opening_inch=3.5e-06, inspection_samples=100.0, designation='0.09', d_wire_max=7e-08, max_opening=0.122, X_variation_max=3.2e-05, Y_variation_avg=4.6e-06, compliance_sd=11.27), '0.106': Sieve(calibration_samples=200.0, d_wire_min=6e-08, d_wire=7e-08, inspection_sd=10.47, calibration_sd=10.77, old_designation='No. 140', opening=0.000106, compliance_samples=1000.0, opening_inch=4.1e-06, inspection_samples=100.0, designation='0.106', d_wire_max=8e-08, max_opening=0.141, X_variation_max=3.5e-05, Y_variation_avg=5.2e-06, compliance_sd=12.39), '0.125': Sieve(calibration_samples=200.0, d_wire_min=8e-08, d_wire=9e-08, inspection_sd=11.41, calibration_sd=11.74, old_designation='No. 120', opening=0.000125, compliance_samples=1000.0, opening_inch=4.9e-06, inspection_samples=100.0, designation='0.125', d_wire_max=1e-07, max_opening=0.163, X_variation_max=3.8e-05, Y_variation_avg=5.8e-06, compliance_sd=13.51), '0.15': Sieve(calibration_samples=200.0, d_wire_min=9e-08, d_wire=1e-07, inspection_sd=12.93, calibration_sd=13.3, old_designation='No. 100', opening=0.00015, compliance_samples=1000.0, opening_inch=5.9e-06, inspection_samples=100.0, designation='0.15', d_wire_max=1.2e-07, max_opening=0.193, X_variation_max=4.3e-05, Y_variation_avg=6.6e-06, compliance_sd=15.3), '0.18': Sieve(calibration_samples=200.0, d_wire_min=1.1e-07, d_wire=1.2e-07, inspection_sd=14.24, calibration_sd=14.65, old_designation='No. 80', opening=0.00018, compliance_samples=1000.0, opening_inch=7e-06, inspection_samples=100.0, designation='0.18', d_wire_max=1.5e-07, max_opening=0.227, X_variation_max=4.7e-05, Y_variation_avg=7.6e-06, compliance_sd=16.85), '0.212': Sieve(calibration_samples=160.0, d_wire_min=1.2e-07, d_wire=1.4e-07, inspection_sd=15.59, calibration_sd=16.08, old_designation='No. 70', opening=0.000212, compliance_samples=800.0, opening_inch=8.3e-06, inspection_samples=80.0, designation='0.212', d_wire_max=1.7e-07, max_opening=0.264, X_variation_max=5.2e-05, Y_variation_avg=8.7e-06, compliance_sd=18.79), '0.25': Sieve(calibration_samples=160.0, d_wire_min=1.3e-07, d_wire=1.6e-07, inspection_sd=17.44, calibration_sd=17.99, old_designation='No. 60', opening=0.00025, compliance_samples=800.0, opening_inch=9.8e-06, inspection_samples=80.0, designation='0.25', d_wire_max=1.9e-07, max_opening=0.308, X_variation_max=5.8e-05, Y_variation_avg=9.9e-06, compliance_sd=21.02), '0.3': Sieve(calibration_samples=160.0, d_wire_min=1.7e-07, d_wire=2e-07, inspection_sd=19.66, calibration_sd=20.29, old_designation='No. 50', opening=0.0003, compliance_samples=800.0, opening_inch=1.17e-05, inspection_samples=80.0, designation='0.3', d_wire_max=2.3e-07, max_opening=0.365, X_variation_max=6.5e-05, Y_variation_avg=1.15e-05, compliance_sd=23.7), '0.355': Sieve(calibration_samples=160.0, d_wire_min=1.9e-07, d_wire=2.2e-07, inspection_sd=21.95, calibration_sd=22.64, old_designation='No. 45', opening=0.000355, compliance_samples=800.0, opening_inch=1.39e-05, inspection_samples=80.0, designation='0.355', d_wire_max=2.6e-07, max_opening=0.427, X_variation_max=7.2e-05, Y_variation_avg=1.33e-05, compliance_sd=26.45), '0.425': Sieve(calibration_samples=120.0, d_wire_min=2.4e-07, d_wire=2.8e-07, inspection_sd=24.2, calibration_sd=25.08, old_designation='No. 40', opening=0.000425, compliance_samples=600.0, opening_inch=1.65e-05, inspection_samples=60.0, designation='0.425', d_wire_max=3.2e-07, max_opening=0.506, X_variation_max=8.1e-05, Y_variation_avg=1.55e-05, compliance_sd=29.95), '0.5': Sieve(calibration_samples=120.0, d_wire_min=2.7e-07, d_wire=3.2e-07, inspection_sd=26.85, calibration_sd=27.82, old_designation='No. 35', opening=0.0005, compliance_samples=600.0, opening_inch=1.97e-05, inspection_samples=60.0, designation='0.5', d_wire_max=3.6e-07, max_opening=0.589, X_variation_max=8.9e-05, Y_variation_avg=1.8e-05, compliance_sd=33.23), '0.6': Sieve(calibration_samples=100.0, d_wire_min=3.4e-07, d_wire=4e-07, inspection_sd=30.14, calibration_sd=31.32, old_designation='No. 30', opening=0.0006, compliance_samples=500.0, opening_inch=2.34e-05, inspection_samples=50.0, designation='0.6', d_wire_max=4.6e-07, max_opening=0.701, X_variation_max=0.000101, Y_variation_avg=2.12e-05, compliance_sd=38.0), '0.71': Sieve(calibration_samples=100.0, d_wire_min=3.8e-07, d_wire=4.5e-07, inspection_sd=33.82, calibration_sd=35.14, old_designation='No. 25', opening=0.00071, compliance_samples=500.0, opening_inch=2.78e-05, inspection_samples=50.0, designation='0.71', d_wire_max=5.2e-07, max_opening=0.822, X_variation_max=0.000112, Y_variation_avg=2.47e-05, compliance_sd=42.63), '0.85': Sieve(calibration_samples=80.0, d_wire_min=4.3e-07, d_wire=5e-07, inspection_sd=37.73, calibration_sd=39.36, old_designation='No. 20', opening=0.00085, compliance_samples=400.0, opening_inch=3.31e-05, inspection_samples=40.0, designation='0.85', d_wire_max=5.8e-07, max_opening=0.977, X_variation_max=0.000127, Y_variation_avg=2.91e-05, compliance_sd=48.76), '1': Sieve(calibration_samples=80.0, d_wire_min=0.00048, d_wire=0.00056, inspection_sd=0.042, calibration_sd=0.044, old_designation='No. 18', opening=0.001, compliance_samples=400.0, opening_inch=3.94e-05, inspection_samples=40.0, designation='1', d_wire_max=0.00064, max_opening=1.14, X_variation_max=0.00014, Y_variation_avg=3.4e-05, compliance_sd=0.055), '1.18': Sieve(calibration_samples=80.0, d_wire_min=0.00054, d_wire=0.00063, inspection_sd=0.049, calibration_sd=0.051, old_designation='No. 16', opening=0.00118, compliance_samples=400.0, opening_inch=4.69e-05, inspection_samples=40.0, designation='1.18', d_wire_max=0.00072, max_opening=1.34, X_variation_max=0.00016, Y_variation_avg=4e-05, compliance_sd=0.063), '1.4': Sieve(calibration_samples=80.0, d_wire_min=0.0006, d_wire=0.00071, inspection_sd=0.055, calibration_sd=0.057, old_designation='No. 14', opening=0.0014, compliance_samples=400.0, opening_inch=5.55e-05, inspection_samples=40.0, designation='1.4', d_wire_max=0.00082, max_opening=1.58, X_variation_max=0.00018, Y_variation_avg=4.6e-05, compliance_sd=0.071), '1.7': Sieve(calibration_samples=50.0, d_wire_min=0.00068, d_wire=0.0008, inspection_sd=0.059, calibration_sd=0.062, old_designation='No. 12', opening=0.0017, compliance_samples=250.0, opening_inch=6.61e-05, inspection_samples=25.0, designation='1.7', d_wire_max=0.00092, max_opening=1.9, X_variation_max=0.0002, Y_variation_avg=5.6e-05, compliance_sd=0.081), '100': Sieve(d_wire_min=0.0054, d_wire=0.0063, old_designation='4 in.', opening=0.1, compliance_samples=20.0, opening_inch=0.004, designation='100', d_wire_max=0.0072, max_opening=103.82, X_variation_max=0.00382, Y_variation_avg=0.00294), '106': Sieve(d_wire_min=0.0054, d_wire=0.0063, old_designation='4.24 in.', opening=0.106, compliance_samples=20.0, opening_inch=0.00424, designation='106', d_wire_max=0.0072, max_opening=109.99, X_variation_max=0.00399, Y_variation_avg=0.00312), '11.2': Sieve(calibration_samples=30.0, d_wire_min=0.0021, d_wire=0.0025, inspection_sd=0.256, calibration_sd=0.274, old_designation='7/16 in.', opening=0.0112, compliance_samples=150.0, opening_inch=0.000438, inspection_samples=15.0, designation='11.2', d_wire_max=0.0029, max_opening=11.97, X_variation_max=0.00077, Y_variation_avg=0.000346, compliance_sd=0.382), '12.5': Sieve(calibration_samples=30.0, d_wire_min=0.0021, d_wire=0.0025, inspection_sd=0.283, calibration_sd=0.302, old_designation='1/2 in.', opening=0.0125, compliance_samples=150.0, opening_inch=0.0005, inspection_samples=15.0, designation='12.5', d_wire_max=0.0029, max_opening=13.33, X_variation_max=0.00083, Y_variation_avg=0.000385, compliance_sd=0.421), '125': Sieve(d_wire_min=0.0068, d_wire=0.008, old_designation='5 in.', opening=0.125, compliance_samples=20.0, opening_inch=0.005, designation='125', d_wire_max=0.0092, max_opening=129.51, X_variation_max=0.00451, Y_variation_avg=0.00366), '13.2': Sieve(calibration_samples=30.0, d_wire_min=0.0024, d_wire=0.0028, inspection_sd=0.296, calibration_sd=0.316, old_designation='0.530 in.', opening=0.0132, compliance_samples=150.0, opening_inch=0.00053, inspection_samples=15.0, designation='13.2', d_wire_max=0.0032, max_opening=14.06, X_variation_max=0.00086, Y_variation_avg=0.000406, compliance_sd=0.441), '16': Sieve(calibration_samples=30.0, d_wire_min=0.0027, d_wire=0.00315, inspection_sd=0.354, calibration_sd=0.378, old_designation='5/8 in.', opening=0.016, compliance_samples=150.0, opening_inch=0.000625, inspection_samples=15.0, designation='16', d_wire_max=0.0036, max_opening=16.99, X_variation_max=0.00099, Y_variation_avg=0.00049, compliance_sd=0.527), '19': Sieve(calibration_samples=30.0, d_wire_min=0.0027, d_wire=0.00315, inspection_sd=0.418, calibration_sd=0.446, old_designation='3/4 in.', opening=0.019, compliance_samples=150.0, opening_inch=0.00075, inspection_samples=15.0, designation='19', d_wire_max=0.0035, max_opening=20.13, X_variation_max=0.00113, Y_variation_avg=0.000579, compliance_sd=0.622), '2': Sieve(calibration_samples=50.0, d_wire_min=0.00077, d_wire=0.0009, inspection_sd=0.068, calibration_sd=0.072, old_designation='No. 10', opening=0.002, compliance_samples=250.0, opening_inch=7.87e-05, inspection_samples=25.0, designation='2', d_wire_max=0.00104, max_opening=2.23, X_variation_max=0.00023, Y_variation_avg=6.5e-05, compliance_sd=0.094), '2.36': Sieve(calibration_samples=40.0, d_wire_min=0.00085, d_wire=0.001, inspection_sd=0.073, calibration_sd=0.077, old_designation='No. 8', opening=0.00236, compliance_samples=200.0, opening_inch=9.37e-05, inspection_samples=20.0, designation='2.36', d_wire_max=0.00115, max_opening=2.61, X_variation_max=0.00025, Y_variation_avg=7.6e-05, compliance_sd=0.104), '2.8': Sieve(calibration_samples=40.0, d_wire_min=0.00095, d_wire=0.00112, inspection_sd=0.085, calibration_sd=0.09, old_designation='No. 7', opening=0.0028, compliance_samples=200.0, opening_inch=0.00011, inspection_samples=20.0, designation='2.8', d_wire_max=0.0013, max_opening=3.09, X_variation_max=0.00029, Y_variation_avg=9e-05, compliance_sd=0.121), '22.4': Sieve(d_wire_min=0.003, d_wire=0.00355, inspection_sd=0.493, old_designation='7/8 in.', opening=0.0224, compliance_samples=150.0, opening_inch=0.000875, inspection_samples=15.0, designation='22.4', d_wire_max=0.0041, max_opening=23.67, X_variation_max=0.00127, Y_variation_avg=0.000681, compliance_sd=0.734), '25': Sieve(d_wire_min=0.003, d_wire=0.00355, inspection_sd=0.553, old_designation='1.00 in.', opening=0.025, compliance_samples=20.0, opening_inch=0.001, inspection_samples=15.0, designation='25', d_wire_max=0.0041, max_opening=26.38, X_variation_max=0.00138, Y_variation_avg=0.000758, compliance_sd=0.823), '26.5': Sieve(d_wire_min=0.003, d_wire=0.00355, inspection_sd=0.584, old_designation='1.06 in.', opening=0.0265, compliance_samples=20.0, opening_inch=0.00106, inspection_samples=15.0, designation='26.5', d_wire_max=0.0041, max_opening=27.94, X_variation_max=0.00144, Y_variation_avg=0.000802, compliance_sd=0.869), '3.35': Sieve(calibration_samples=40.0, d_wire_min=0.00106, d_wire=0.00125, inspection_sd=0.097, calibration_sd=0.103, old_designation='No. 6', opening=0.00335, compliance_samples=200.0, opening_inch=0.000132, inspection_samples=20.0, designation='3.35', d_wire_max=0.0015, max_opening=3.67, X_variation_max=0.00032, Y_variation_avg=0.000107, compliance_sd=0.138), '31.5': Sieve(d_wire_min=0.0034, d_wire=0.004, old_designation='1 1/4 in.', opening=0.0315, compliance_samples=20.0, opening_inch=0.00125, designation='31.5', d_wire_max=0.0046, max_opening=33.13, X_variation_max=0.00163, Y_variation_avg=0.00095, compliance_sd=1.066), '37.5': Sieve(d_wire_min=0.0038, d_wire=0.0045, old_designation='1 1/2 in.', opening=0.0375, compliance_samples=20.0, opening_inch=0.0015, designation='37.5', d_wire_max=0.0052, max_opening=39.35, X_variation_max=0.00185, Y_variation_avg=0.00113, compliance_sd=1.374), '4': Sieve(calibration_samples=30.0, d_wire_min=0.0012, d_wire=0.0014, inspection_sd=0.108, calibration_sd=0.115, old_designation='No. 5', opening=0.004, compliance_samples=150.0, opening_inch=0.000157, inspection_samples=15.0, designation='4', d_wire_max=0.0017, max_opening=4.37, X_variation_max=0.00037, Y_variation_avg=0.000127, compliance_sd=0.161), '4.75': Sieve(calibration_samples=30.0, d_wire_min=0.0013, d_wire=0.0016, inspection_sd=0.123, calibration_sd=0.131, old_designation='No. 4', opening=0.00475, compliance_samples=150.0, opening_inch=0.000187, inspection_samples=15.0, designation='4.75', d_wire_max=0.0019, max_opening=5.16, X_variation_max=0.00041, Y_variation_avg=0.00015, compliance_sd=0.182), '45': Sieve(d_wire_min=0.0038, d_wire=0.0045, old_designation='1 3/4 in.', opening=0.045, compliance_samples=20.0, opening_inch=0.00175, designation='45', d_wire_max=0.0052, max_opening=47.12, X_variation_max=0.00212, Y_variation_avg=0.00135), '5.6': Sieve(calibration_samples=30.0, d_wire_min=0.0013, d_wire=0.0016, inspection_sd=0.142, calibration_sd=0.151, old_designation='No. 3 1/2', opening=0.0056, compliance_samples=150.0, opening_inch=0.000223, inspection_samples=15.0, designation='5.6', d_wire_max=0.0019, max_opening=6.07, X_variation_max=0.00047, Y_variation_avg=0.000176, compliance_sd=0.211), '50': Sieve(d_wire_min=0.0043, d_wire=0.005, old_designation='2 in.', opening=0.05, compliance_samples=20.0, opening_inch=0.002, designation='50', d_wire_max=0.0058, max_opening=52.29, X_variation_max=0.00229, Y_variation_avg=0.00149), '53': Sieve(d_wire_min=0.0043, d_wire=0.005, old_designation='2.12 in.', opening=0.053, compliance_samples=20.0, opening_inch=0.00212, designation='53', d_wire_max=0.0058, max_opening=55.39, X_variation_max=0.00239, Y_variation_avg=0.00158), '6.3': Sieve(calibration_samples=30.0, d_wire_min=0.0015, d_wire=0.0018, inspection_sd=0.157, calibration_sd=0.167, old_designation='1/4 in.', opening=0.0063, compliance_samples=150.0, opening_inch=0.00025, inspection_samples=15.0, designation='6.3', d_wire_max=0.0021, max_opening=6.81, X_variation_max=0.00051, Y_variation_avg=0.000197, compliance_sd=0.233), '6.7': Sieve(calibration_samples=30.0, d_wire_min=0.0015, d_wire=0.0018, inspection_sd=0.164, calibration_sd=0.175, old_designation='0.265 in.', opening=0.0067, compliance_samples=150.0, opening_inch=0.000265, inspection_samples=15.0, designation='6.7', d_wire_max=0.0021, max_opening=7.23, X_variation_max=0.00053, Y_variation_avg=0.00021, compliance_sd=0.245), '63': Sieve(d_wire_min=0.0048, d_wire=0.0056, old_designation='2 1/2 in.', opening=0.063, compliance_samples=20.0, opening_inch=0.0025, designation='63', d_wire_max=0.0064, max_opening=65.71, X_variation_max=0.00271, Y_variation_avg=0.00187), '75': Sieve(d_wire_min=0.0054, d_wire=0.0063, old_designation='3 in.', opening=0.075, compliance_samples=20.0, opening_inch=0.003, designation='75', d_wire_max=0.0072, max_opening=78.09, X_variation_max=0.00309, Y_variation_avg=0.00222), '8': Sieve(calibration_samples=30.0, d_wire_min=0.0017, d_wire=0.002, inspection_sd=0.191, calibration_sd=0.204, old_designation='5/16 in.', opening=0.008, compliance_samples=150.0, opening_inch=0.000312, inspection_samples=15.0, designation='8', d_wire_max=0.0023, max_opening=8.6, X_variation_max=0.0006, Y_variation_avg=0.000249, compliance_sd=0.284), '9.5': Sieve(calibration_samples=30.0, d_wire_min=0.0019, d_wire=0.00224, inspection_sd=0.222, calibration_sd=0.237, old_designation='3/8 in.', opening=0.0095, compliance_samples=150.0, opening_inch=0.000375, inspection_samples=15.0, designation='9.5', d_wire_max=0.0026, max_opening=10.18, X_variation_max=0.00068, Y_variation_avg=0.000295, compliance_sd=0.33), '90': Sieve(d_wire_min=0.0054, d_wire=0.0063, old_designation='3 1/2 in.', opening=0.09, compliance_samples=20.0, opening_inch=0.0035, designation='90', d_wire_max=0.0072, max_opening=93.53, X_variation_max=0.00353, Y_variation_avg=0.00265) } '''Dictionary containing ASTM E-11 sieve series :py:func:`Sieve` objects, indexed by their size in mm as a string. References ---------- .. [1] ASTM E11 - 17 - Standard Specification for Woven Wire Test Sieve Cloth and Test Sieves. ''' ASTM_E11_sieve_designations = ['125', '106', '100', '90', '75', '63', '53', '50', '45', '37.5', '31.5', '26.5', '25', '22.4', '19', '16', '13.2', '12.5', '11.2', '9.5', '8', '6.7', '6.3', '5.6', '4.75', '4', '3.35', '2.8', '2.36', '2', '1.7', '1.4', '1.18', '1', '0.85', '0.71', '0.6', '0.5', '0.425', '0.355', '0.3', '0.25', '0.212', '0.18', '0.15', '0.125', '0.106', '0.09', '0.075', '0.063', '0.053', '0.045', '0.038', '0.032', '0.025', '0.02'] ASTM_E11_sieve_list = [ASTM_E11_sieves[i] for i in ASTM_E11_sieve_designations] ISO_3310_1_sieves = { '0.02': Sieve(designation='0.02', d_wire_max=2.3e-05, compliance_sd=4.7e-06, X_variation_max=1.3e-05, d_wire=2e-05, Y_variation_avg=2.1e-06, d_wire_min=2.3e-05, opening=2e-05), '0.025': Sieve(designation='0.025', d_wire_max=2.9e-05, compliance_sd=5.2e-06, X_variation_max=1.5e-05, d_wire=2.5e-05, Y_variation_avg=2.2e-06, d_wire_min=2.9e-05, opening=2.5e-05), '0.032': Sieve(designation='0.032', d_wire_max=3.3e-05, compliance_sd=5.9e-06, X_variation_max=1.7e-05, d_wire=2.8e-05, Y_variation_avg=2.4e-06, d_wire_min=3.3e-05, opening=3.2e-05), '0.036': Sieve(designation='0.036', d_wire_max=3.5e-05, compliance_sd=6.3e-06, X_variation_max=1.8e-05, d_wire=3e-05, Y_variation_avg=2.6e-06, d_wire_min=3.5e-05, opening=3.6e-05), '0.038': Sieve(designation='0.038', d_wire_max=3.5e-05, compliance_sd=6.4e-06, X_variation_max=1.8e-05, d_wire=3e-05, Y_variation_avg=2.6e-06, d_wire_min=3.5e-05, opening=3.8e-05), '0.04': Sieve(designation='0.04', d_wire_max=3.7e-05, compliance_sd=6.5e-06, X_variation_max=1.9e-05, d_wire=3.2e-05, Y_variation_avg=2.7e-06, d_wire_min=3.7e-05, opening=4e-05), '0.045': Sieve(designation='0.045', d_wire_max=3.7e-05, compliance_sd=6.9e-06, X_variation_max=2e-05, d_wire=3.2e-05, Y_variation_avg=2.8e-06, d_wire_min=3.7e-05, opening=4.5e-05), '0.05': Sieve(designation='0.05', d_wire_max=4.1e-05, compliance_sd=7.3e-06, X_variation_max=2.1e-05, d_wire=3.6e-05, Y_variation_avg=3e-06, d_wire_min=4.1e-05, opening=5e-05), '0.053': Sieve(designation='0.053', d_wire_max=4.1e-05, compliance_sd=7.6e-06, X_variation_max=2.1e-05, d_wire=3.6e-05, Y_variation_avg=3.1e-06, d_wire_min=4.1e-05, opening=5.3e-05), '0.056': Sieve(designation='0.056', d_wire_max=4.6e-05, compliance_sd=7.8e-06, X_variation_max=2.2e-05, d_wire=4e-05, Y_variation_avg=3.2e-06, d_wire_min=4.6e-05, opening=5.6e-05), '0.063': Sieve(designation='0.063', d_wire_max=5.2e-05, compliance_sd=8.3e-06, X_variation_max=2.4e-05, d_wire=4.5e-05, Y_variation_avg=3.4e-06, d_wire_min=5.2e-05, opening=6.3e-05), '0.071': Sieve(designation='0.071', d_wire_max=5.8e-05, compliance_sd=8.9e-06, X_variation_max=2.5e-05, d_wire=5e-05, Y_variation_avg=3.6e-06, d_wire_min=4.3e-05, opening=7.1e-05), '0.075': Sieve(designation='0.075', d_wire_max=5.8e-05, compliance_sd=9.1e-06, X_variation_max=2.6e-05, d_wire=5e-05, Y_variation_avg=3.7e-06, d_wire_min=4.3e-05, opening=7.5e-05), '0.08': Sieve(designation='0.08', d_wire_max=6.4e-05, compliance_sd=9.4e-06, X_variation_max=2.7e-05, d_wire=5.6e-05, Y_variation_avg=3.9e-06, d_wire_min=4.8e-05, opening=8e-05), '0.09': Sieve(designation='0.09', d_wire_max=7.2e-05, compliance_sd=1.01e-05, X_variation_max=2.9e-05, d_wire=6.3e-05, Y_variation_avg=4.2e-06, d_wire_min=5.4e-05, opening=9e-05), '0.1': Sieve(designation='0.1', d_wire_max=8.2e-05, compliance_sd=1.08e-05, X_variation_max=3e-05, d_wire=7.1e-05, Y_variation_avg=4.5e-06, d_wire_min=6e-05, opening=0.0001), '0.106': Sieve(designation='0.106', d_wire_max=8.2e-05, compliance_sd=1.11e-05, X_variation_max=3.1e-05, d_wire=7.1e-05, Y_variation_avg=4.7e-06, d_wire_min=6e-05, opening=0.000106), '0.112': Sieve(designation='0.112', d_wire_max=9.2e-05, compliance_sd=1.15e-05, X_variation_max=3.2e-05, d_wire=8e-05, Y_variation_avg=4.8e-06, d_wire_min=6.8e-05, opening=0.000112), '0.125': Sieve(designation='0.125', d_wire_max=0.000104, compliance_sd=1.22e-05, X_variation_max=3.4e-05, d_wire=9e-05, Y_variation_avg=5.2e-06, d_wire_min=7.7e-05, opening=0.000125), '0.14': Sieve(designation='0.14', d_wire_max=0.000115, compliance_sd=1.31e-05, X_variation_max=3.7e-05, d_wire=0.0001, Y_variation_avg=5.7e-06, d_wire_min=8.5e-05, opening=0.00014), '0.15': Sieve(designation='0.15', d_wire_max=0.000115, compliance_sd=1.37e-05, X_variation_max=3.8e-05, d_wire=0.0001, Y_variation_avg=6e-06, d_wire_min=8.5e-05, opening=0.00015), '0.16': Sieve(designation='0.16', d_wire_max=0.00013, compliance_sd=1.42e-05, X_variation_max=4e-05, d_wire=0.000112, Y_variation_avg=6.3e-06, d_wire_min=9.5e-05, opening=0.00016), '0.18': Sieve(designation='0.18', d_wire_max=0.00015, compliance_sd=1.53e-05, X_variation_max=4.3e-05, d_wire=0.000125, Y_variation_avg=6.8e-06, d_wire_min=0.000106, opening=0.00018), '0.2': Sieve(designation='0.2', d_wire_max=0.00017, compliance_sd=1.63e-05, X_variation_max=4.5e-05, d_wire=0.00014, Y_variation_avg=7.4e-06, d_wire_min=0.00012, opening=0.0002), '0.212': Sieve(designation='0.212', d_wire_max=0.00017, compliance_sd=1.69e-05, X_variation_max=4.7e-05, d_wire=0.00014, Y_variation_avg=7.8e-06, d_wire_min=0.00012, opening=0.000212), '0.224': Sieve(designation='0.224', d_wire_max=0.00019, compliance_sd=1.75e-05, X_variation_max=4.9e-05, d_wire=0.00016, Y_variation_avg=8.1e-06, d_wire_min=0.00013, opening=0.000224), '0.25': Sieve(designation='0.25', d_wire_max=0.00019, compliance_sd=1.88e-05, X_variation_max=5.2e-05, d_wire=0.00016, Y_variation_avg=8.9e-06, d_wire_min=0.00013, opening=0.00025), '0.28': Sieve(designation='0.28', d_wire_max=0.00021, compliance_sd=2.03e-05, X_variation_max=5.6e-05, d_wire=0.00018, Y_variation_avg=1e-05, d_wire_min=0.00015, opening=0.00028), '0.3': Sieve(designation='0.3', d_wire_max=0.00023, compliance_sd=2.12e-05, X_variation_max=5.8e-05, d_wire=0.0002, Y_variation_avg=1e-05, d_wire_min=0.00017, opening=0.0003), '0.315': Sieve(designation='0.315', d_wire_max=0.00023, compliance_sd=2.19e-05, X_variation_max=6e-05, d_wire=0.0002, Y_variation_avg=1.1e-05, d_wire_min=0.00017, opening=0.000315), '0.355': Sieve(designation='0.355', d_wire_max=0.00026, compliance_sd=2.37e-05, X_variation_max=6.5e-05, d_wire=0.000224, Y_variation_avg=1.2e-05, d_wire_min=0.00019, opening=0.000355), '0.4': Sieve(designation='0.4', d_wire_max=0.00029, compliance_sd=2.57e-05, X_variation_max=7e-05, d_wire=0.00025, Y_variation_avg=1.3e-05, d_wire_min=0.00021, opening=0.0004), '0.425': Sieve(designation='0.425', d_wire_max=0.00032, compliance_sd=2.68e-05, X_variation_max=7.3e-05, d_wire=0.00028, Y_variation_avg=1.4e-05, d_wire_min=0.00024, opening=0.000425), '0.45': Sieve(designation='0.45', d_wire_max=0.00032, compliance_sd=2.79e-05, X_variation_max=7.5e-05, d_wire=0.00028, Y_variation_avg=1.5e-05, d_wire_min=0.00024, opening=0.00045), '0.5': Sieve(designation='0.5', d_wire_max=0.00036, compliance_sd=3e-05, X_variation_max=8e-05, d_wire=0.000315, Y_variation_avg=1.6e-05, d_wire_min=0.00027, opening=0.0005), '0.56': Sieve(designation='0.56', d_wire_max=0.00041, compliance_sd=3.24e-05, X_variation_max=8.7e-05, d_wire=0.000355, Y_variation_avg=1.8e-05, d_wire_min=0.0003, opening=0.00056), '0.6': Sieve(designation='0.6', d_wire_max=0.00046, compliance_sd=3.4e-05, X_variation_max=9.1e-05, d_wire=0.0004, Y_variation_avg=1.9e-05, d_wire_min=0.00034, opening=0.0006), '0.63': Sieve(designation='0.63', d_wire_max=0.00046, compliance_sd=3.52e-05, X_variation_max=9.3e-05, d_wire=0.0004, Y_variation_avg=2e-05, d_wire_min=0.00034, opening=0.00063), '0.71': Sieve(designation='0.71', d_wire_max=0.00052, compliance_sd=3.84e-05, X_variation_max=0.000101, d_wire=0.00045, Y_variation_avg=2.2e-05, d_wire_min=0.00038, opening=0.00071), '0.8': Sieve(designation='0.8', d_wire_max=0.00052, compliance_sd=4.18e-05, X_variation_max=0.000109, d_wire=0.00045, Y_variation_avg=2.5e-05, d_wire_min=0.00038, opening=0.0008), '0.85': Sieve(designation='0.85', d_wire_max=0.00058, compliance_sd=4.36e-05, X_variation_max=0.000114, d_wire=0.0005, Y_variation_avg=2.6e-05, d_wire_min=0.00043, opening=0.00085), '0.9': Sieve(designation='0.9', d_wire_max=0.00058, compliance_sd=4.55e-05, X_variation_max=0.000118, d_wire=0.0005, Y_variation_avg=2.8e-05, d_wire_min=0.00043, opening=0.0009), '1': Sieve(designation='1', d_wire_max=0.00064, compliance_sd=4.9e-05, X_variation_max=0.00013, d_wire=0.00056, Y_variation_avg=3e-05, d_wire_min=0.00048, opening=0.001), '1.12': Sieve(designation='1.12', d_wire_max=0.00064, compliance_sd=5.3e-05, X_variation_max=0.00014, d_wire=0.00056, Y_variation_avg=3e-05, d_wire_min=0.00048, opening=0.00112), '1.18': Sieve(designation='1.18', d_wire_max=0.00072, compliance_sd=5.6e-05, X_variation_max=0.00014, d_wire=0.00063, Y_variation_avg=4e-05, d_wire_min=0.00054, opening=0.00118), '1.25': Sieve(designation='1.25', d_wire_max=0.00072, compliance_sd=5.8e-05, X_variation_max=0.00015, d_wire=0.00063, Y_variation_avg=4e-05, d_wire_min=0.00054, opening=0.00125), '1.4': Sieve(designation='1.4', d_wire_max=0.00082, compliance_sd=6.3e-05, X_variation_max=0.00016, d_wire=0.00071, Y_variation_avg=4e-05, d_wire_min=0.0006, opening=0.0014), '1.6': Sieve(designation='1.6', d_wire_max=0.00092, compliance_sd=7e-05, X_variation_max=0.00017, d_wire=0.0008, Y_variation_avg=5e-05, d_wire_min=0.00068, opening=0.0016), '1.7': Sieve(designation='1.7', d_wire_max=0.00092, compliance_sd=7.3e-05, X_variation_max=0.00018, d_wire=0.0008, Y_variation_avg=5e-05, d_wire_min=0.00068, opening=0.0017), '1.8': Sieve(designation='1.8', d_wire_max=0.00092, compliance_sd=7.6e-05, X_variation_max=0.00019, d_wire=0.0008, Y_variation_avg=5e-05, d_wire_min=0.00068, opening=0.0018), '10': Sieve(designation='10', d_wire_max=0.0029, compliance_sd=0.000307, X_variation_max=0.00064, d_wire=0.0025, Y_variation_avg=0.00028, d_wire_min=0.0021, opening=0.01), '100': Sieve(designation='100', d_wire_max=0.0072, X_variation_max=0.00344, d_wire=0.0063, Y_variation_avg=0.00265, d_wire_min=0.0054, opening=0.1), '106': Sieve(designation='106', d_wire_max=0.0072, X_variation_max=0.00359, d_wire=0.0063, Y_variation_avg=0.0028, d_wire_min=0.0054, opening=0.106), '11.2': Sieve(designation='11.2', d_wire_max=0.0029, compliance_sd=0.000339, X_variation_max=0.00069, d_wire=0.0025, Y_variation_avg=0.00031, d_wire_min=0.0021, opening=0.0112), '112': Sieve(designation='112', d_wire_max=0.0092, X_variation_max=0.00374, d_wire=0.008, Y_variation_avg=0.00296, d_wire_min=0.0068, opening=0.112), '12.5': Sieve(designation='12.5', d_wire_max=0.0029, compliance_sd=0.000374, X_variation_max=0.00075, d_wire=0.0025, Y_variation_avg=0.00035, d_wire_min=0.0021, opening=0.0125), '125': Sieve(designation='125', d_wire_max=0.0092, X_variation_max=0.00406, d_wire=0.008, Y_variation_avg=0.0033, d_wire_min=0.0068, opening=0.125), '13.2': Sieve(designation='13.2', d_wire_max=0.0032, compliance_sd=0.000392, X_variation_max=0.00078, d_wire=0.0028, Y_variation_avg=0.00037, d_wire_min=0.0024, opening=0.0132), '14': Sieve(designation='14', d_wire_max=0.0032, compliance_sd=0.000413, X_variation_max=0.00081, d_wire=0.0028, Y_variation_avg=0.00039, d_wire_min=0.0024, opening=0.014), '16': Sieve(designation='16', d_wire_max=0.0036, compliance_sd=0.000467, X_variation_max=0.00089, d_wire=0.00315, Y_variation_avg=0.00044, d_wire_min=0.0027, opening=0.016), '18': Sieve(designation='18', d_wire_max=0.0036, compliance_sd=0.00052, X_variation_max=0.00097, d_wire=0.00315, Y_variation_avg=0.00049, d_wire_min=0.0027, opening=0.018), '19': Sieve(designation='19', d_wire_max=0.0036, compliance_sd=0.000548, X_variation_max=0.00101, d_wire=0.00315, Y_variation_avg=0.00052, d_wire_min=0.0027, opening=0.019), '2': Sieve(designation='2', d_wire_max=0.00104, compliance_sd=8.3e-05, X_variation_max=0.0002, d_wire=0.0009, Y_variation_avg=6e-05, d_wire_min=0.00077, opening=0.002), '2.24': Sieve(designation='2.24', d_wire_max=0.00104, compliance_sd=9e-05, X_variation_max=0.00022, d_wire=0.0009, Y_variation_avg=7e-05, d_wire_min=0.00077, opening=0.00224), '2.36': Sieve(designation='2.36', d_wire_max=0.00115, compliance_sd=9.4e-05, X_variation_max=0.00023, d_wire=0.001, Y_variation_avg=7e-05, d_wire_min=0.00085, opening=0.00236), '2.5': Sieve(designation='2.5', d_wire_max=0.00115, compliance_sd=9.8e-05, X_variation_max=0.00024, d_wire=0.001, Y_variation_avg=7e-05, d_wire_min=0.00085, opening=0.0025), '2.8': Sieve(designation='2.8', d_wire_max=0.0013, compliance_sd=0.000108, X_variation_max=0.00026, d_wire=0.00112, Y_variation_avg=8e-05, d_wire_min=0.00095, opening=0.0028), '20': Sieve(designation='20', d_wire_max=0.0036, compliance_sd=0.000575, X_variation_max=0.00105, d_wire=0.00315, Y_variation_avg=0.00055, d_wire_min=0.0027, opening=0.02), '22.4': Sieve(designation='22.4', d_wire_max=0.0041, compliance_sd=0.000641, X_variation_max=0.00114, d_wire=0.00355, Y_variation_avg=0.00061, d_wire_min=0.003, opening=0.0224), '25': Sieve(designation='25', d_wire_max=0.0041, compliance_sd=0.000713, X_variation_max=0.00124, d_wire=0.00355, Y_variation_avg=0.00068, d_wire_min=0.003, opening=0.025), '26.5': Sieve(designation='26.5', d_wire_max=0.0041, compliance_sd=0.000757, X_variation_max=0.00129, d_wire=0.00355, Y_variation_avg=0.00072, d_wire_min=0.003, opening=0.0265), '28': Sieve(designation='28', d_wire_max=0.0041, compliance_sd=0.000801, X_variation_max=0.00135, d_wire=0.00355, Y_variation_avg=0.00076, d_wire_min=0.003, opening=0.028), '3.15': Sieve(designation='3.15', d_wire_max=0.0015, compliance_sd=0.000118, X_variation_max=0.00028, d_wire=0.00125, Y_variation_avg=9e-05, d_wire_min=0.00106, opening=0.00315), '3.35': Sieve(designation='3.35', d_wire_max=0.0015, compliance_sd=0.000124, X_variation_max=0.00029, d_wire=0.00125, Y_variation_avg=0.0001, d_wire_min=0.00106, opening=0.00335), '3.55': Sieve(designation='3.55', d_wire_max=0.0015, compliance_sd=0.00013, X_variation_max=0.0003, d_wire=0.00125, Y_variation_avg=0.0001, d_wire_min=0.00106, opening=0.00355), '31.5': Sieve(designation='31.5', d_wire_max=0.0046, compliance_sd=0.000905, X_variation_max=0.00147, d_wire=0.004, Y_variation_avg=0.00085, d_wire_min=0.0034, opening=0.0315), '35.5': Sieve(designation='35.5', d_wire_max=0.0046, compliance_sd=0.001, X_variation_max=0.0016, d_wire=0.004, Y_variation_avg=0.00096, d_wire_min=0.0034, opening=0.0355), '37.5': Sieve(designation='37.5', d_wire_max=0.0052, compliance_sd=0.001, X_variation_max=0.00167, d_wire=0.0045, Y_variation_avg=0.00101, d_wire_min=0.0038, opening=0.0375), '4': Sieve(designation='4', d_wire_max=0.0017, compliance_sd=0.000143, X_variation_max=0.00033, d_wire=0.0014, Y_variation_avg=0.00011, d_wire_min=0.0012, opening=0.004), '4.5': Sieve(designation='4.5', d_wire_max=0.0017, compliance_sd=0.000157, X_variation_max=0.00036, d_wire=0.0014, Y_variation_avg=0.00013, d_wire_min=0.0012, opening=0.0045), '4.75': Sieve(designation='4.75', d_wire_max=0.0019, compliance_sd=0.000164, X_variation_max=0.00037, d_wire=0.0016, Y_variation_avg=0.00014, d_wire_min=0.0013, opening=0.00475), '40': Sieve(designation='40', d_wire_max=0.0052, compliance_sd=0.001, X_variation_max=0.00175, d_wire=0.0045, Y_variation_avg=0.00108, d_wire_min=0.0038, opening=0.04), '45': Sieve(designation='45', d_wire_max=0.0052, compliance_sd=0.001, X_variation_max=0.00191, d_wire=0.0045, Y_variation_avg=0.00121, d_wire_min=0.0038, opening=0.045), '5': Sieve(designation='5', d_wire_max=0.0019, compliance_sd=0.000171, X_variation_max=0.00039, d_wire=0.0016, Y_variation_avg=0.00014, d_wire_min=0.0013, opening=0.005), '5.6': Sieve(designation='5.6', d_wire_max=0.0019, compliance_sd=0.000188, X_variation_max=0.00042, d_wire=0.0016, Y_variation_avg=0.00016, d_wire_min=0.0013, opening=0.0056), '50': Sieve(designation='50', d_wire_max=0.0058, X_variation_max=0.00206, d_wire=0.005, Y_variation_avg=0.00134, d_wire_min=0.0043, opening=0.05), '53': Sieve(designation='53', d_wire_max=0.0058, X_variation_max=0.00215, d_wire=0.005, Y_variation_avg=0.00142, d_wire_min=0.0043, opening=0.053), '56': Sieve(designation='56', d_wire_max=0.0058, X_variation_max=0.00224, d_wire=0.005, Y_variation_avg=0.0015, d_wire_min=0.0043, opening=0.056), '6.3': Sieve(designation='6.3', d_wire_max=0.0021, compliance_sd=0.000207, X_variation_max=0.00046, d_wire=0.0018, Y_variation_avg=0.00018, d_wire_min=0.0015, opening=0.0063), '6.7': Sieve(designation='6.7', d_wire_max=0.0021, compliance_sd=0.000218, X_variation_max=0.00048, d_wire=0.0018, Y_variation_avg=0.00019, d_wire_min=0.0015, opening=0.0067), '63': Sieve(designation='63', d_wire_max=0.0064, X_variation_max=0.00244, d_wire=0.0056, Y_variation_avg=0.00169, d_wire_min=0.0048, opening=0.063), '7.1': Sieve(designation='7.1', d_wire_max=0.0021, compliance_sd=0.000229, X_variation_max=0.0005, d_wire=0.0018, Y_variation_avg=0.0002, d_wire_min=0.0015, opening=0.0071), '71': Sieve(designation='71', d_wire_max=0.0064, X_variation_max=0.00267, d_wire=0.0056, Y_variation_avg=0.00189, d_wire_min=0.0048, opening=0.071), '75': Sieve(designation='75', d_wire_max=0.0072, X_variation_max=0.00278, d_wire=0.0063, Y_variation_avg=0.002, d_wire_min=0.0054, opening=0.075), '8': Sieve(designation='8', d_wire_max=0.0023, compliance_sd=0.000254, X_variation_max=0.00054, d_wire=0.002, Y_variation_avg=0.00022, d_wire_min=0.0017, opening=0.008), '80': Sieve(designation='80', d_wire_max=0.0072, X_variation_max=0.00291, d_wire=0.0063, Y_variation_avg=0.00213, d_wire_min=0.0054, opening=0.08), '9': Sieve(designation='9', d_wire_max=0.0026, compliance_sd=0.000281, X_variation_max=0.00059, d_wire=0.00224, Y_variation_avg=0.00025, d_wire_min=0.0019, opening=0.009), '9.5': Sieve(designation='9.5', d_wire_max=0.0026, compliance_sd=0.000294, X_variation_max=0.00061, d_wire=0.00224, Y_variation_avg=0.00027, d_wire_min=0.0019, opening=0.0095), '90': Sieve(designation='90', d_wire_max=0.0072, X_variation_max=0.00318, d_wire=0.0063, Y_variation_avg=0.00239, d_wire_min=0.0054, opening=0.09) } '''Dictionary containing all of the individual :py:func:`Sieve` objects, on the ISO 3310-1:2016 series, indexed by their size in mm as a string. References ---------- .. [1] ISO 3310-1:2016 - Test Sieves -- Technical Requirements and Testing -- Part 1: Test Sieves of Metal Wire Cloth. ''' ISO_3310_1_sieve_designations = ['125', '112', '106', '100', '90', '80', '75', '71', '63', '56', '53', '50', '45', '40', '37.5', '35.5', '31.5', '28', '26.5', '25', '22.4', '20', '19', '18', '16', '14', '13.2', '12.5', '11.2', '10', '9.5', '9', '8', '7.1', '6.7', '6.3', '5.6', '5', '4.75', '4.5', '4', '3.55', '3.35', '3.15', '2.8', '2.5', '2.36', '2.24', '2', '1.8', '1.7', '1.6', '1.4', '1.25', '1.18', '1.12', '1', '0.9', '0.85', '0.8', '0.71', '0.63', '0.6', '0.56', '0.5', '0.45', '0.425', '0.4', '0.355', '0.315', '0.3', '0.28', '0.25', '0.224', '0.212', '0.2', '0.18', '0.16', '0.15', '0.14', '0.125', '0.112', '0.106', '0.1', '0.09', '0.08', '0.075', '0.071', '0.063', '0.056', '0.053', '0.05', '0.045', '0.04', '0.038', '0.036', '0.032', '0.025', '0.02'] ISO_3310_1_sieve_list = [ISO_3310_1_sieves[i] for i in ISO_3310_1_sieve_designations] ISO_3310_1_R20_3 = [ISO_3310_1_sieves[i] for i in ('125', '90', '63', '45', '31.5', '22.4', '16', '11.2', '8', '5.6', '4', '2.8', '2', '1.4', '1', '0.71', '0.5', '0.355', '0.25', '0.18', '0.125', '0.09', '0.063', '0.045')] '''List containing all of the individual :py:func:`Sieve` objects, on the ISO 3310-1:2016 R20/3 series only, ordered from largest openings to smallest. References ---------- .. [1] ISO 3310-1:2016 - Test Sieves -- Technical Requirements and Testing -- Part 1: Test Sieves of Metal Wire Cloth. ''' ISO_3310_1_R20 = ['125', '112', '100', '90', '80', '71', '63', '56', '50', '45', '40', '35.5', '31.5', '28', '25', '22.4', '20', '18', '16', '14', '12.5', '11.2', '10', '9', '8', '7.1', '6.3', '5.6', '5', '4.5', '4', '3.55', '3.15', '2.8', '2.5', '2.24', '2', '1.8', '1.6', '1.4', '1.25', '1.12', '1', '0.9', '0.8', '0.71', '0.63', '0.56', '0.5', '0.45', '0.4', '0.355', '0.315', '0.28', '0.25', '0.224', '0.2', '0.18', '0.16', '0.14', '0.125', '0.112', '0.1', '0.09', '0.08', '0.071', '0.063', '0.056', '0.05', '0.045', '0.04', '0.036'] ISO_3310_1_R20 = [ISO_3310_1_sieves[i] for i in ISO_3310_1_R20] '''List containing all of the individual :py:func:`Sieve` objects, on the ISO 3310-1:2016 R20 series only, ordered from largest openings to smallest. References ---------- .. [1] ISO 3310-1:2016 - Test Sieves -- Technical Requirements and Testing -- Part 1: Test Sieves of Metal Wire Cloth. ''' ISO_3310_1_R40_3 = ['125', '106', '90', '75', '63', '53', '45', '37.5', '31.5', '26.5', '22.4', '19', '16', '13.2', '11.2', '9.5', '8', '6.7', '5.6', '4.75', '4', '3.35', '2.8', '2.36', '2', '1.7', '1.4', '1.18', '1', '0.85', '0.71', '0.6', '0.5', '0.425', '0.355', '0.3', '0.25', '0.212', '0.18', '0.15', '0.125', '0.106', '0.09', '0.075', '0.063', '0.053', '0.045', '0.038'] ISO_3310_1_R40_3 = [ISO_3310_1_sieves[i] for i in ISO_3310_1_R40_3] '''List containing all of the individual :py:func:`Sieve` objects, on the ISO 3310-1:2016 R40/3 series only, ordered from largest openings to smallest. References ---------- .. [1] ISO 3310-1:2016 - Test Sieves -- Technical Requirements and Testing -- Part 1: Test Sieves of Metal Wire Cloth. ''' ISO_3310_1_R10 = ['0.036', '0.032', '0.025', '0.02'] ISO_3310_1_R10 = [ISO_3310_1_sieves[i] for i in ISO_3310_1_R10] '''List containing all of the individual :py:func:`Sieve` objects, on the ISO 3310-1:2016 R10 series only, ordered from largest openings to smallest. References ---------- .. [1] ISO 3310-1:2016 - Test Sieves -- Technical Requirements and Testing -- Part 1: Test Sieves of Metal Wire Cloth. ''' sieve_spacing_options = {'ISO 3310-1': ISO_3310_1_sieve_list, 'ISO 3310-1 R20': ISO_3310_1_R20, 'ISO 3310-1 R20/3': ISO_3310_1_R20_3, 'ISO 3310-1 R40/3': ISO_3310_1_R40_3, 'ISO 3310-1 R10': ISO_3310_1_R10, 'ASTM E11': ASTM_E11_sieve_list,} def psd_spacing(d_min=None, d_max=None, pts=20, method='logarithmic'): r'''Create a particle spacing mesh in one of several ways for use in modeling discrete particle size distributions. The allowable meshes are 'linear', 'logarithmic', a geometric series specified by a Renard number such as 'R10', or the meshes available in one of several sieve standards. Parameters ---------- d_min : float, optional The minimum diameter at which the mesh starts, [m] d_max : float, optional The maximum diameter at which the mesh ends, [m] pts : int, optional The number of points to return for the mesh (note this is not respected by sieve meshes), [-] method : str, optional Either 'linear', 'logarithmic', a Renard number like 'R10' or 'R5' or 'R2.5', or one of the sieve standards 'ISO 3310-1 R40/3', 'ISO 3310-1 R20', 'ISO 3310-1 R20/3', 'ISO 3310-1', 'ISO 3310-1 R10', 'ASTM E11', [-] Returns ------- ds : list[float] The generated mesh diameters, [m] Notes ----- Note that when specifying a Renard series, only one of `d_min` or `d_max` can be respected! Provide only one of those numbers. Note that when specifying a sieve standard the number of points is not respected! Examples -------- >>> psd_spacing(d_min=5e-5, d_max=5e-4, method='ISO 3310-1 R20/3') [6.3e-05, 9e-05, 0.000125, 0.00018, 0.00025, 0.000355, 0.0005] References ---------- .. [1] ASTM E11 - 17 - Standard Specification for Woven Wire Test Sieve Cloth and Test Sieves. .. [2] ISO 3310-1:2016 - Test Sieves -- Technical Requirements and Testing -- Part 1: Test Sieves of Metal Wire Cloth. ''' if d_min is not None: d_min = float(d_min) if d_max is not None: d_max = float(d_max) if method == 'logarithmic': return logspace(log10(d_min), log10(d_max), pts) elif method == 'linear': return linspace(d_min, d_max, pts) elif method[0] in ('R', 'r'): ratio = 10**(1.0/float(method[1:])) if d_min is not None and d_max is not None: raise ValueError('For geometric (Renard) series, only ' 'one of `d_min` and `d_max` should be provided') if d_min is not None: ds = [d_min] for i in range(pts-1): ds.append(ds[-1]*ratio) return ds elif d_max is not None: ds = [d_max] for i in range(pts-1): ds.append(ds[-1]/ratio) return list(reversed(ds)) elif method in sieve_spacing_options: l = sieve_spacing_options[method] ds = [] for sieve in l: if d_min <= sieve.opening <= d_max: ds.append(sieve.opening) return list(reversed(ds)) else: raise ValueError('Method not recognized') def pdf_lognormal(d, d_characteristic, s): r'''Calculates the probability density function of a lognormal particle distribution given a particle diameter `d`, characteristic particle diameter `d_characteristic`, and distribution standard deviation `s`. .. math:: q(d) = \frac{1}{ds\sqrt{2\pi}} \exp\left[-0.5\left(\frac{ \ln(d/d_{characteristic})}{s}\right)^2\right] Parameters ---------- d : float Specified particle diameter, [m] d_characteristic : float Characteristic particle diameter; often D[3, 3] is used for this purpose but not always, [m] s : float Distribution standard deviation, [-] Returns ------- pdf : float Lognormal probability density function, [-] Notes ----- The characteristic diameter can be in terns of number density (denoted :math:`q_0(d)`), length density (:math:`q_1(d)`), surface area density (:math:`q_2(d)`), or volume density (:math:`q_3(d)`). Volume density is most often used. Interconversions among the distributions is possible but tricky. The standard distribution (i.e. the one used in Scipy) can perform the same computation with `d_characteristic` as the value of `scale`. >>> import scipy.stats >>> scipy.stats.lognorm.pdf(x=1E-4, s=1.1, scale=1E-5) 405.5420921156425 Scipy's calculation is over 300 times slower however, and this expression is numerically integrated so speed is required. Examples -------- >>> pdf_lognormal(d=1E-4, d_characteristic=1E-5, s=1.1) 405.5420921156425 References ---------- .. [1] ISO 9276-2:2014 - Representation of Results of Particle Size Analysis - Part 2: Calculation of Average Particle Sizes/Diameters and Moments from Particle Size Distributions. ''' try: log_term = log(d/d_characteristic)/s except ValueError: return 0.0 return 1./(d*s*ROOT_TWO_PI)*exp(-0.5*log_term*log_term) def cdf_lognormal(d, d_characteristic, s): r'''Calculates the cumulative distribution function of a lognormal particle distribution given a particle diameter `d`, characteristic particle diameter `d_characteristic`, and distribution standard deviation `s`. .. math:: Q(d) = 0.5\left(1 + \text{err}\left[\left(\frac{\ln(d/d_c)}{s\sqrt{2}} \right)\right]\right) Parameters ---------- d : float Specified particle diameter, [m] d_characteristic : float Characteristic particle diameter; often D[3, 3] is used for this purpose but not always, [m] s : float Distribution standard deviation, [-] Returns ------- cdf : float Lognormal cumulative density function, [-] Notes ----- The characteristic diameter can be in terns of number density (denoted :math:`q_0(d)`), length density (:math:`q_1(d)`), surface area density (:math:`q_2(d)`), or volume density (:math:`q_3(d)`). Volume density is most often used. Interconversions among the distributions is possible but tricky. The standard distribution (i.e. the one used in Scipy) can perform the same computation with `d_characteristic` as the value of `scale`. >>> import scipy.stats >>> scipy.stats.lognorm.cdf(x=1E-4, s=1.1, scale=1E-5) 0.9818369875798177 Scipy's calculation is over 100 times slower however. Examples -------- >>> cdf_lognormal(d=1E-4, d_characteristic=1E-5, s=1.1) 0.9818369875798 References ---------- .. [1] ISO 9276-2:2014 - Representation of Results of Particle Size Analysis - Part 2: Calculation of Average Particle Sizes/Diameters and Moments from Particle Size Distributions. ''' try: return 0.5*(1.0 + erf((log(d/d_characteristic))/(s*sqrt(2.0)))) except: # math error at cdf = 0 (x going as low as possible) return 0.0 def pdf_lognormal_basis_integral(d, d_characteristic, s, n): r'''Calculates the integral of the multiplication of d^n by the lognormal pdf, given a particle diameter `d`, characteristic particle diameter `d_characteristic`, distribution standard deviation `s`, and exponent `n`. .. math:: \int d^n\cdot q(d)\; dd = -\frac{1}{2} \exp\left(\frac{s^2 n^2}{2} \right)d^n \left(\frac{d}{d_{characteristic}}\right)^{-n} \text{erf}\left[\frac{s^2 n - \ln(d/d_{characteristic})} {\sqrt{2} s} \right] This is the crucial integral required for interconversion between different bases such as number density (denoted :math:`q_0(d)`), length density (:math:`q_1(d)`), surface area density (:math:`q_2(d)`), or volume density (:math:`q_3(d)`). Parameters ---------- d : float Specified particle diameter, [m] d_characteristic : float Characteristic particle diameter; often D[3, 3] is used for this purpose but not always, [m] s : float Distribution standard deviation, [-] n : int Exponent of the multiplied n Returns ------- pdf_basis_integral : float Integral of lognormal pdf multiplied by d^n, [-] Notes ----- This integral has been verified numerically. This integral is itself integrated, so it is crucial to obtain an analytical form for at least this integral. Note overflow or zero division issues may occur for very large values of `s`, larger than 10. No mathematical limit was able to be obtained with a CAS. Examples -------- >>> pdf_lognormal_basis_integral(d=1E-4, d_characteristic=1E-5, s=1.1, n=-2) 56228306549.26362 ''' try: s2 = s*s t0 = exp(s2*n*n*0.5) d_ratio = d/d_characteristic t1 = (d/(d_ratio))**n t2 = erf((s2*n - log(d_ratio))/(sqrt(2.)*s)) return -0.5*t0*t1*t2 except (OverflowError, ZeroDivisionError, ValueError): return pdf_lognormal_basis_integral(d=1E-80, d_characteristic=d_characteristic, s=s, n=n) def pdf_Gates_Gaudin_Schuhman(d, d_characteristic, m): r'''Calculates the probability density of a particle distribution following the Gates, Gaudin and Schuhman (GGS) model given a particle diameter `d`, characteristic (maximum) particle diameter `d_characteristic`, and exponent `m`. .. math:: q(d) = \frac{n}{d}\left(\frac{d}{d_{characteristic}}\right)^m \text{ if } d < d_{characteristic} \text{ else } 0 Parameters ---------- d : float Specified particle diameter, [m] d_characteristic : float Characteristic particle diameter; in this model, it is the largest particle size diameter in the distribution, [m] m : float Particle size distribution exponent, [-] Returns ------- pdf : float GGS probability density function, [-] Notes ----- The characteristic diameter can be in terns of number density (denoted :math:`q_0(d)`), length density (:math:`q_1(d)`), surface area density (:math:`q_2(d)`), or volume density (:math:`q_3(d)`). Volume density is most often used. Interconversions among the distributions is possible but tricky. Examples -------- >>> pdf_Gates_Gaudin_Schuhman(d=2E-4, d_characteristic=1E-3, m=2.3) 283.8355768512045 References ---------- .. [1] Schuhmann, R., 1940. Principles of Comminution, I-Size Distribution and Surface Calculations. American Institute of Mining, Metallurgical and Petroleum Engineers Technical Publication 1189. Mining Technology, volume 4, p. 1-11. .. [2] Bayat, Hossein, Mostafa Rastgo, Moharram Mansouri Zadeh, and Harry Vereecken. "Particle Size Distribution Models, Their Characteristics and Fitting Capability." Journal of Hydrology 529 (October 1, 2015): 872-89. ''' if d <= d_characteristic: return m/d*(d/d_characteristic)**m else: return 0.0 def cdf_Gates_Gaudin_Schuhman(d, d_characteristic, m): r'''Calculates the cumulative distribution function of a particle distribution following the Gates, Gaudin and Schuhman (GGS) model given a particle diameter `d`, characteristic (maximum) particle diameter `d_characteristic`, and exponent `m`. .. math:: Q(d) = \left(\frac{d}{d_{characteristic}}\right)^m \text{ if } d < d_{characteristic} \text{ else } 1 Parameters ---------- d : float Specified particle diameter, [m] d_characteristic : float Characteristic particle diameter; in this model, it is the largest particle size diameter in the distribution, [m] m : float Particle size distribution exponent, [-] Returns ------- cdf : float GGS cumulative density function, [-] Notes ----- The characteristic diameter can be in terns of number density (denoted :math:`q_0(d)`), length density (:math:`q_1(d)`), surface area density (:math:`q_2(d)`), or volume density (:math:`q_3(d)`). Volume density is most often used. Interconversions among the distributions is possible but tricky. Examples -------- >>> cdf_Gates_Gaudin_Schuhman(d=2E-4, d_characteristic=1E-3, m=2.3) 0.024681354508800397 References ---------- .. [1] Schuhmann, R., 1940. Principles of Comminution, I-Size Distribution and Surface Calculations. American Institute of Mining, Metallurgical and Petroleum Engineers Technical Publication 1189. Mining Technology, volume 4, p. 1-11. .. [2] Bayat, Hossein, Mostafa Rastgo, Moharram Mansouri Zadeh, and Harry Vereecken. "Particle Size Distribution Models, Their Characteristics and Fitting Capability." Journal of Hydrology 529 (October 1, 2015): 872-89. ''' if d <= d_characteristic: return (d/d_characteristic)**m else: return 1.0 def pdf_Gates_Gaudin_Schuhman_basis_integral(d, d_characteristic, m, n): r'''Calculates the integral of the multiplication of d^n by the Gates, Gaudin and Schuhman (GGS) model given a particle diameter `d`, characteristic (maximum) particle diameter `d_characteristic`, and exponent `m`. .. math:: \int d^n\cdot q(d)\; dd =\frac{m}{m+n} d^n \left(\frac{d} {d_{characteristic}}\right)^m Parameters ---------- d : float Specified particle diameter, [m] d_characteristic : float Characteristic particle diameter; in this model, it is the largest particle size diameter in the distribution, [m] m : float Particle size distribution exponent, [-] n : int Exponent of the multiplied n, [-] Returns ------- pdf_basis_integral : float Integral of Rosin Rammler pdf multiplied by d^n, [-] Notes ----- This integral does not have any numerical issues as `d` approaches 0. Examples -------- >>> pdf_Gates_Gaudin_Schuhman_basis_integral(d=2E-4, d_characteristic=1E-3, m=2.3, n=-3) -10136984887.543015 ''' return m/(m+n)*d**n*(d/d_characteristic)**m def pdf_Rosin_Rammler(d, k, m): r'''Calculates the probability density of a particle distribution following the Rosin-Rammler (RR) model given a particle diameter `d`, and the two parameters `k` and `m`. .. math:: q(d) = k m d^{(m-1)} \exp(- k d^{m}) Parameters ---------- d : float Specified particle diameter, [m] k : float Parameter in the model, [(1/m)^m] m : float Parameter in the model, [-] Returns ------- pdf : float RR probability density function, [-] Notes ----- Examples -------- >>> pdf_Rosin_Rammler(1E-3, 200, 2) 0.3999200079994667 References ---------- .. [1] Rosin, P. "The Laws Governing the Fineness of Powdered Coal." J. Inst. Fuel. 7 (1933): 29-36. .. [2] Bayat, Hossein, Mostafa Rastgo, Moharram Mansouri Zadeh, and Harry Vereecken. "Particle Size Distribution Models, Their Characteristics and Fitting Capability." Journal of Hydrology 529 (October 1, 2015): 872-89. ''' return d**(m - 1.0)*k*m*exp(-d**m*k) def cdf_Rosin_Rammler(d, k, m): r'''Calculates the cumulative distribution function of a particle distribution following the Rosin-Rammler (RR) model given a particle diameter `d`, and the two parameters `k` and `m`. .. math:: Q(d) = 1 - \exp\left(-k d^m\right) Parameters ---------- d : float Specified particle diameter, [m] k : float Parameter in the model, [(1/m)^m] m : float Parameter in the model, [-] Returns ------- cdf : float RR cumulative density function, [-] Notes ----- The characteristic diameter can be in terns of number density (denoted :math:`q_0(d)`), length density (:math:`q_1(d)`), surface area density (:math:`q_2(d)`), or volume density (:math:`q_3(d)`). Volume density is most often used. Interconversions among the distributions is possible but tricky. Examples -------- >>> cdf_Rosin_Rammler(5E-2, 200, 2) 0.3934693402873667 References ---------- .. [1] Rosin, P. "The Laws Governing the Fineness of Powdered Coal." J. Inst. Fuel. 7 (1933): 29-36. .. [2] Bayat, Hossein, Mostafa Rastgo, Moharram Mansouri Zadeh, and Harry Vereecken. "Particle Size Distribution Models, Their Characteristics and Fitting Capability." Journal of Hydrology 529 (October 1, 2015): 872-89. ''' return 1.0 - exp(-k*d**m) def pdf_Rosin_Rammler_basis_integral(d, k, m, n): r'''Calculates the integral of the multiplication of d^n by the Rosin Rammler (RR) pdf, given a particle diameter `d`, and the two parameters `k` and `m`. .. math:: \int d^n\cdot q(d)\; dd =-d^{m+n} k(d^mk)^{-\frac{m+n}{m}}\Gamma \left(\frac{m+n}{m}\right)\text{gammaincc}\left[\left(\frac{m+n}{m} \right), kd^m\right] Parameters ---------- d : float Specified particle diameter, [m] k : float Parameter in the model, [(1/m)^m] m : float Parameter in the model, [-] n : int Exponent of the multiplied n, [-] Returns ------- pdf_basis_integral : float Integral of Rosin Rammler pdf multiplied by d^n, [-] Notes ----- This integral was derived using a CAS, and verified numerically. The `gammaincc` function is that from scipy.special, and `gamma` from the same. For very high powers of `n` or `m` when the diameter is very low, exceptions may occur. Examples -------- >>> "{:g}".format(pdf_Rosin_Rammler_basis_integral(5E-2, 200, 2, 3)) '-0.000452399' ''' # Also not able to compute the limit for d approaching 0. try: a = (m + n)/m x = d**m*k t1 = float(gamma(a))*float(gammaincc(a, x)) return (-d**(m+n)*k*(d**m*k)**(-a))*t1 except (OverflowError, ZeroDivisionError) as e: if d == 1E-40: raise e return pdf_Rosin_Rammler_basis_integral(1E-40, k, m, n) names = {0: 'Number distribution', 1: 'Length distribution', 2: 'Area distribution', 3: 'Volume/Mass distribution'} def _label_distribution_n(n): # pragma: no cover if n in names: return names[n] else: return 'Order %s distribution' %str(n) _mean_size_docstring = r'''Calculates the mean particle size according to moment-ratio notation. This is the more common and often convenient definition. .. math:: \left[\bar D_{p,q} \right]^{(p-q)} = \frac{\sum_i n_i D_i^p } {\sum_i n_i D_i^q} \left[\bar D_{p,p} \right] = \exp\left[\frac{\sum_i n_i D_i^p\ln D_i }{\sum_i n_i D_i^p}\right] \text{, if p = q} Note that :math:`n_i` in the above equation is replaceable with the fraction of particles in that bin. Parameters ---------- p : int Power and/or subscript of D moment in the above equations, [-] q : int Power and/or subscript of D moment in the above equations, [-] Returns ------- d_pq : float Mean particle size according to the specified p and q, [m] Notes ----- The following is a list of common names for specific mean diameters. * **D[-3, 0]**: arithmetic harmonic mean volume diameter * **D[-2, 1]**: size-weighted harmonic mean volume diameter * **D[-1, 2]**: area-weighted harmonic mean volume diameter * **D[-2, 0]**: arithmetic harmonic mean area diameter * **D[-1, 1]**: size-weighted harmonic mean area diameter * **D[-1, 0]**: arithmetic harmonic mean diameter * **D[0, 0]**: arithmetic geometric mean diameter * **D[1, 1]**: size-weighted geometric mean diameter * **D[2, 2]**: area-weighted geometric mean diameter * **D[3, 3]**: volume-weighted geometric mean diameter * **D[1, 0]**: arithmetic mean diameter * **D[2, 1]**: size-weighted mean diameter * **D[3, 2]**: area-weighted mean diameter, **Sauter mean diameter** * **D[4, 3]**: volume-weighted mean diameter, **De Brouckere diameter** * **D[2, 0]**: arithmetic mean area diameter * **D[3, 1]**: size-weighted mean area diameter * **D[4, 2]**: area-weighted mean area diameter * **D[5, 3]**: volume-weighted mean area diameter * **D[3, 0]**: arithmetic mean volume diameter * **D[4, 1]**: size-weighted mean volume diameter * **D[5, 2]**: area-weighted mean volume diameter * **D[6, 3]**: volume-weighted mean volume diameter This notation was first introduced in [1]_. The sum of p and q is called the order of the mean size [3]_. .. math:: \bar D_{p,q} \equiv \bar D_{q, p} Examples -------- %s References ---------- .. [1] Mugele, R. A., and H. D. Evans. "Droplet Size Distribution in Sprays." Industrial & Engineering Chemistry 43, no. 6 (June 1951): 1317-24. https://doi.org/10.1021/ie50498a023. .. [2] ASTM E799 - 03(2015) - Standard Practice for Determining Data Criteria and Processing for Liquid Drop Size Analysis. .. [3] ISO 9276-2:2014 - Representation of Results of Particle Size Analysis - Part 2: Calculation of Average Particle Sizes/Diameters and Moments from Particle Size Distributions. ''' _mean_size_iso_docstring = r'''Calculates the mean particle size according to moment notation (ISO). This system is related to the moment-ratio notation as follows; see the `mean_size` method for the full formulas. .. math:: \bar x_{p-q, q} \equiv \bar x_{k+r, r} \equiv \bar D_{p,q} Parameters ---------- k : int Power and/or subscript of D moment in the above equations, [-] r : int Power and/or subscript of D moment in the above equations, [-] Returns ------- x_kr : float Mean particle size according to the specified k and r in the ISO series, [m] Notes ----- The following is a list of common names for specific mean diameters in the ISO naming convention. * **x[-3, 0]**: arithmetic harmonic mean volume diameter * **x[-3, 1]**: size-weighted harmonic mean volume diameter * **x[-3, 2]**: area-weighted harmonic mean volume diameter * **x[-2, 0]**: arithmetic harmonic mean area diameter * **x[-2, 1]**: size-weighted harmonic mean area diameter * **x[-1, 0]**: arithmetic harmonic mean diameter * **x[0, 0]**: arithmetic geometric mean diameter * **x[0, 1]**: size-weighted geometric mean diameter * **x[0, 2]**: area-weighted geometric mean diameter * **x[0, 3]**: volume-weighted geometric mean diameter * **x[1, 0]**: arithmetic mean diameter * **x[1, 1]**: size-weighted mean diameter * **x[1, 2]**: area-weighted mean diameter, **Sauter mean diameter** * **x[1, 3]**: volume-weighted mean diameter, **De Brouckere diameter** * **x[2, 0]**: arithmetic mean area diameter * **x[1, 1]**: size-weighted mean area diameter * **x[2, 2]**: area-weighted mean area diameter * **x[2, 3]**: volume-weighted mean area diameter * **x[3, 0]**: arithmetic mean volume diameter * **x[3, 1]**: size-weighted mean volume diameter * **x[3, 2]**: area-weighted mean volume diameter * **x[3, 3]**: volume-weighted mean volume diameter When working with continuous distributions, the ISO series must be used to perform the actual calculations. Examples -------- %s References ---------- .. [1] ISO 9276-2:2014 - Representation of Results of Particle Size Analysis - Part 2: Calculation of Average Particle Sizes/Diameters and Moments from Particle Size Distributions. ''' class ParticleSizeDistributionContinuous(object): r'''Base class representing a continuous particle size distribution specified by a mathematical/statistical function. This class holds the common methods only. Notes ----- Although the stated units of input are in meters, this class is actually independent of the units provided; all results will be consistent with the provided unit. Examples -------- Example problem from [1]_. >>> psd = PSDLognormal(s=0.5, d_characteristic=5E-6) References ---------- .. [1] ISO 9276-2:2014 - Representation of Results of Particle Size Analysis - Part 2: Calculation of Average Particle Sizes/Diameters and Moments from Particle Size Distributions. ''' def _pdf_basis_integral_definite(self, d_min, d_max, n): # Needed as an api for numerical integrals return (self._pdf_basis_integral(d=d_max, n=n) - self._pdf_basis_integral(d=d_min, n=n)) def pdf(self, d, n=None): r'''Computes the probability density function of a continuous particle size distribution at a specified particle diameter, an optionally in a specified basis. The evaluation function varies with the distribution chosen. The interconversion between distribution orders is performed using the following formula [1]_: .. math:: q_s(d) = \frac{x^{(s-r)} q_r(d) dd} { \int_0^\infty d^{(s-r)} q_r(d) dd} Parameters ---------- d : float Particle size diameter, [m] n : int, optional None (for the `order` specified when the distribution was created), 0 (number), 1 (length), 2 (area), 3 (volume/mass), or any integer, [-] Returns ------- pdf : float The probability density function at the specified diameter and order, [-] Notes ----- The pdf order conversions are typically available analytically after some work. They have been verified numerically. See the various functions with names ending with 'basis_integral' for the formulations. The distributions normally do not have analytical limits for diameters of 0 or infinity, but large values suffice to capture the area of the integral. Examples -------- >>> psd = PSDLognormal(s=0.5, d_characteristic=5E-6, order=3) >>> psd.pdf(1e-5) 30522.765209509154 >>> psd.pdf(1e-5, n=3) 30522.765209509154 >>> psd.pdf(1e-5, n=0) 1238.661379483343 References ---------- .. [1] Masuda, Hiroaki, Ko Higashitani, and Hideto Yoshida. Powder Technology: Fundamentals of Particles, Powder Beds, and Particle Generation. CRC Press, 2006. ''' ans = self._pdf(d=d) if n is not None and n != self.order: power = n - self.order numerator = d**power*ans denominator = self._pdf_basis_integral_definite(d_min=0.0, d_max=self.d_excessive, n=power) ans = numerator/denominator # Handle splines which might go below zero ans = max(ans, 0.0) if self.truncated: if d < self.d_min or d > self.d_max: return 0.0 ans = (ans)/(self._cdf_d_max - self._cdf_d_min) return ans def cdf(self, d, n=None): r'''Computes the cumulative distribution density function of a continuous particle size distribution at a specified particle diameter, an optionally in a specified basis. The evaluation function varies with the distribution chosen. .. math:: Q_n(d) = \int_0^d q_n(d) Parameters ---------- d : float Particle size diameter, [m] n : int, optional None (for the `order` specified when the distribution was created), 0 (number), 1 (length), 2 (area), 3 (volume/mass), or any integer, [-] Returns ------- cdf : float The cumulative distribution function at the specified diameter and order, [-] Notes ----- Analytical integrals can be found for most distributions even when order conversions are necessary. Examples -------- >>> psd = PSDLognormal(s=0.5, d_characteristic=5E-6, order=3) >>> [psd.cdf(5e-6, n) for n in range(4)] [0.933192798731, 0.8413447460685, 0.6914624612740, 0.5] ''' if n is not None and n != self.order: power = n - self.order # One of the pdf_basis_integral calls could be saved except for # support for numerical integrals numerator = self._pdf_basis_integral_definite(d_min=0.0, d_max=d, n=power) denominator = self._pdf_basis_integral_definite(d_min=0.0, d_max=self.d_excessive, n=power) ans = max(numerator/denominator, 0.0) # Handle splines which might go below zero else: ans = max(self._cdf(d=d), 0.0) if self.truncated: if d <= self.d_min: return 0.0 elif d >= self.d_max: return 1.0 ans = (ans - self._cdf_d_min)/(self._cdf_d_max - self._cdf_d_min) return ans def delta_cdf(self, d_min, d_max, n=None): r'''Computes the difference in cumulative distribution function between two particle size diameters. .. math:: \Delta Q_n = Q_n(d_{max}) - Q_n(d_{min}) Parameters ---------- d_min : float Lower particle size diameter, [m] d_max : float Upper particle size diameter, [m] n : int, optional None (for the `order` specified when the distribution was created), 0 (number), 1 (length), 2 (area), 3 (volume/mass), or any integer, [-] Returns ------- delta_cdf : float The difference in the cumulative distribution function for the two diameters specified, [-] Examples -------- >>> psd = PSDLognormal(s=0.5, d_characteristic=5E-6, order=3) >>> psd.delta_cdf(1e-6, 1e-5) 0.9165280099853876 ''' return self.cdf(d_max, n=n) - self.cdf(d_min, n=n) def dn(self, fraction, n=None): r'''Computes the diameter at which a specified `fraction` of the distribution falls under. Utilizes a bounded solver to search for the desired diameter. Parameters ---------- fraction : float Fraction of the distribution which should be under the calculated diameter, [-] n : int, optional None (for the `order` specified when the distribution was created), 0 (number), 1 (length), 2 (area), 3 (volume/mass), or any integer, [-] Returns ------- d : float Particle size diameter, [m] Examples -------- >>> psd = PSDLognormal(s=0.5, d_characteristic=5E-6, order=3) >>> psd.dn(.5) 5e-06 >>> psd.dn(1) 0.0002947436533523378 >>> psd.dn(0) 0.0 ''' if fraction == 1.0: # Avoid returning the maximum value of the search interval fraction = 1.0 - epsilon if fraction < 0: raise ValueError('Fraction must be more than 0') elif fraction == 0: # pragma: no cover if self.truncated: return self.d_min return 0.0 # Solve to float prevision limit - works well, but is there a real # point when with mpmath it would never happen? # dist.cdf(dist.dn(0)-1e-35) == 0 # dist.cdf(dist.dn(0)-1e-36) == input # dn(0) == 1.9663615597466143e-20 # def err(d): # cdf = self.cdf(d, n=n) # if cdf == 0: # cdf = -1 # return cdf # return brenth(err, self.d_minimum, self.d_excessive, maxiter=1000, xtol=1E-200) elif fraction > 1: raise ValueError('Fraction less than 1') # As the dn may be incredibly small, it is required for the absolute # tolerance to not be happy - it needs to continue iterating as long # as necessary to pin down the answer return brenth(lambda d:self.cdf(d, n=n) -fraction, self.d_minimum, self.d_excessive, maxiter=1000, xtol=1E-200) def ds_discrete(self, d_min=None, d_max=None, pts=20, limit=1e-9, method='logarithmic'): r'''Create a particle spacing mesh to perform calculations with, according to one of several ways. The allowable meshes are 'linear', 'logarithmic', a geometric series specified by a Renard number such as 'R10', or the meshes available in one of several sieve standards. Parameters ---------- d_min : float, optional The minimum diameter at which the mesh starts, [m] d_max : float, optional The maximum diameter at which the mesh ends, [m] pts : int, optional The number of points to return for the mesh (note this is not respected by sieve meshes), [-] limit : float If `d_min` or `d_max` is not specified, it will be calculated as the `dn` at which this limit or 1-limit exists (this is ignored for Renard numbers), [-] method : str, optional Either 'linear', 'logarithmic', a Renard number like 'R10' or 'R5' or'R2.5', or one of the sieve standards 'ISO 3310-1 R40/3', 'ISO 3310-1 R20', 'ISO 3310-1 R20/3', 'ISO 3310-1', 'ISO 3310-1 R10', 'ASTM E11', [-] Returns ------- ds : list[float] The generated mesh diameters, [m] Notes ----- Note that when specifying a Renard series, only one of `d_min` or `d_max` can be respected! Provide only one of those numbers. Note that when specifying a sieve standard the number of points is not respected! References ---------- .. [1] ASTM E11 - 17 - Standard Specification for Woven Wire Test Sieve Cloth and Test Sieves. .. [2] ISO 3310-1:2016 - Test Sieves -- Technical Requirements and Testing -- Part 1: Test Sieves of Metal Wire Cloth. ''' if method[0] not in ('R', 'r'): if d_min is None: d_min = self.dn(limit) if d_max is None: d_max = self.dn(1.0 - limit) return psd_spacing(d_min=d_min, d_max=d_max, pts=pts, method=method) def fractions_discrete(self, ds, n=None): r'''Computes the fractions of the cumulative distribution functions which lie between the specified specified particle diameters. The first diameter contains the cdf from 0 to it. Parameters ---------- ds : list[float] Particle size diameters, [m] n : int, optional None (for the `order` specified when the distribution was created), 0 (number), 1 (length), 2 (area), 3 (volume/mass), or any integer, [-] Returns ------- fractions : float The differences in the cumulative distribution functions at the specified diameters and order, [-] Examples -------- >>> psd = PSDLognormal(s=0.5, d_characteristic=5E-6, order=3) >>> psd.fractions_discrete([1e-6, 1e-5, 1e-4, 1e-3]) [0.00064347101291, 0.916528009985, 0.0828285179619, 1.039798e-09] ''' cdfs = [self.cdf(d, n=n) for d in ds] return [cdfs[0]] + diff(cdfs) def cdf_discrete(self, ds, n=None): r'''Computes the cumulative distribution functions for a list of specified particle diameters. Parameters ---------- ds : list[float] Particle size diameters, [m] n : int, optional None (for the `order` specified when the distribution was created), 0 (number), 1 (length), 2 (area), 3 (volume/mass), or any integer, [-] Returns ------- cdfs : float The cumulative distribution functions at the specified diameters and order, [-] Examples -------- >>> psd = PSDLognormal(s=0.5, d_characteristic=5E-6, order=3) >>> psd.cdf_discrete([1e-6, 1e-5, 1e-4, 1e-3]) [0.000643471012913, 0.917171480998, 0.999999998960, 1.0] ''' return [self.cdf(d, n=n) for d in ds] def mean_size(self, p, q): ''' >>> psd = PSDLognormal(s=0.5, d_characteristic=5E-6) >>> psd.mean_size(3, 2) 4.412484512922977e-06 Note that for the case where p == q, a different set of formulas are required - which do not have analytical results for many distributions. Therefore, a close numerical approximation is used instead, to perturb the values of p and q so they are 1E-9 away from each other. This leads only to slight errors, as in the example below where the correct answer is 5E-6. >>> psd.mean_size(3, 3) 4.9999999304923345e-06 ''' if p == q: p -= 1e-9 q += 1e-9 pow1 = q - self.order denominator = self._pdf_basis_integral_definite(d_min=self.d_minimum, d_max=self.d_excessive, n=pow1) root_power = p - q pow3 = p - self.order numerator = self._pdf_basis_integral_definite(d_min=self.d_minimum, d_max=self.d_excessive, n=pow3) return (numerator/denominator)**(1.0/(root_power)) def mean_size_ISO(self, k, r): ''' >>> psd = PSDLognormal(s=0.5, d_characteristic=5E-6) >>> psd.mean_size_ISO(1, 2) 4.412484512922977e-06 ''' p = k + r q = r return self.mean_size(p=p, q=q) @property def vssa(self): r'''The volume-specific surface area of a particle size distribution. .. math:: \text{VSSA} = \frac{6}{\bar x_{1,2}} Returns ------- VSSA : float The volume-specific surface area of the distribution, [m^2/m^3] Examples -------- >>> PSDLognormal(s=0.5, d_characteristic=5E-6).vssa 1359778.1436801916 References ---------- .. [1] ISO 9276-2:2014 - Representation of Results of Particle Size Analysis - Part 2: Calculation of Average Particle Sizes/Diameters and Moments from Particle Size Distributions. ''' return 6/self.mean_size(3, 2) def plot_pdf(self, n=(0, 1, 2, 3), d_min=None, d_max=None, pts=500, normalized=False, method='linear'): # pragma: no cover r'''Plot the probability density function of the particle size distribution. The plotted range can be specified using `d_min` and `d_max`, or estimated automatically. One or more order can be plotted, by providing an iterable of ints as the value of `n` or just one int. Parameters ---------- n : tuple(int) or int, optional None (for the `order` specified when the distribution was created), 0 (number), 1 (length), 2 (area), 3 (volume/mass), or any integer; as many as desired may be specified, [-] d_min : float, optional Lower particle size diameter, [m] d_max : float, optional Upper particle size diameter, [m] pts : int, optional The number of points for values to be calculated, [-] normalized : bool, optional Whether to display the actual probability density function, which may have a huge magnitude - or to divide each point by the sum of all the points. Doing this is a common practice, but the values at each point are dependent on the number of points being plotted, and the distribution of the points; [-] method : str, optional Either 'linear', 'logarithmic', a Renard number like 'R10' or 'R5' or'R2.5', or one of the sieve standards 'ISO 3310-1 R40/3', 'ISO 3310-1 R20', 'ISO 3310-1 R20/3', 'ISO 3310-1', 'ISO 3310-1 R10', 'ASTM E11', [-] ''' try: import matplotlib.pyplot as plt except: # pragma: no cover raise ValueError(NO_MATPLOTLIB_MSG) ds = self.ds_discrete(d_min=d_min, d_max=d_max, pts=pts, method=method) try: for ni in n: fractions = [self.pdf(d, n=ni) for d in ds] if normalized: fractions = normalize(fractions) plt.semilogx(ds, fractions, label=_label_distribution_n(ni)) except Exception: fractions = [self.pdf(d, n=n) for d in ds] if normalized: fractions = normalize(fractions) plt.semilogx(ds, fractions, label=_label_distribution_n(n)) plt.ylabel('Probability density function, [-]') plt.xlabel('Particle diameter, [m]') plt.title('Probability density function of %s distribution with ' 'parameters %s' %(self.name, self.parameters)) plt.legend() plt.show() return fractions def plot_cdf(self, n=(0, 1, 2, 3), d_min=None, d_max=None, pts=500, method='logarithmic'): # pragma: no cover r'''Plot the cumulative distribution function of the particle size distribution. The plotted range can be specified using `d_min` and `d_max`, or estimated automatically. One or more order can be plotted, by providing an iterable of ints as the value of `n` or just one int. Parameters ---------- n : tuple(int) or int, optional None (for the `order` specified when the distribution was created), 0 (number), 1 (length), 2 (area), 3 (volume/mass), or any integer; as many as desired may be specified, [-] d_min : float, optional Lower particle size diameter, [m] d_max : float, optional Upper particle size diameter, [m] pts : int, optional The number of points for values to be calculated, [-] method : str, optional Either 'linear', 'logarithmic', a Renard number like 'R10' or 'R5' or'R2.5', or one of the sieve standards 'ISO 3310-1 R40/3', 'ISO 3310-1 R20', 'ISO 3310-1 R20/3', 'ISO 3310-1', 'ISO 3310-1 R10', 'ASTM E11', [-] ''' try: import matplotlib.pyplot as plt except: # pragma: no cover raise ValueError(NO_MATPLOTLIB_MSG) ds = self.ds_discrete(d_min=d_min, d_max=d_max, pts=pts, method=method) try: for ni in n: cdfs = self.cdf_discrete(ds=ds, n=ni) plt.semilogx(ds, cdfs, label=_label_distribution_n(ni)) except: cdfs = self.cdf_discrete(ds=ds, n=n) plt.semilogx(ds, cdfs, label=_label_distribution_n(n)) if self.points: plt.plot(self.ds, self.fraction_cdf, '+', label='Volume/Mass points') if hasattr(self, 'area_fractions'): plt.plot(self.ds, cumsum(self.area_fractions), '+', label='Area points') if hasattr(self, 'length_fractions'): plt.plot(self.ds, cumsum(self.length_fractions), '+', label='Length points') if hasattr(self, 'number_fractions'): plt.plot(self.ds, cumsum(self.number_fractions), '+', label='Number points') plt.ylabel('Cumulative density function, [-]') plt.xlabel('Particle diameter, [m]') plt.title('Cumulative density function of %s distribution with ' 'parameters %s' %(self.name, self.parameters)) plt.legend() plt.show() class ParticleSizeDistribution(ParticleSizeDistributionContinuous): r'''Class representing a discrete particle size distribution specified by a series of diameter bins, and the quantity of particles in each bin. The quantities may be specified as either the fraction of particles in each bin, or as cumulative distributions. The input fractions can be specified to be in a mass basis (`order=3`), number basis (`order=0`), or the orders in between for length basis or area basis. If the fractions do not sum to 1, and `cdf` is False, then the fractions are normalized. This allows flow rates or counts of size bins to be given as well. Parameters ---------- ds : list[float] Diameter bins; length of the specified quantities, optionally +1 that length to specify a cutoff diameter for the smallest diameter bin, [m] fractions : list[float], optional The mass/mole/volume/length/area/count fractions or cumulative distributions or counts of each particle size in each diameter bin (the type is specified by `order`), [-] order : int, optional 0 for a number distribution as input; 1 for length distribution; 2 for area distribution; 3 for mass, mole, or volume distribution, [-] cdf : bool, optional If the distribution is given as increasing fractions with 1 as the last result, `cdf` must be set to True, [-] monotonic : bool, optional If True, for interpolated quanties, monotonic splines will be used instead of the standard splines, [-] Attributes ---------- fractions : list[float] The mass/mole/volume basis fractions of particles in each bin, [-] area_fractions : list[float] The area fractions of particles in each bin, [-] length_fractions : list[float] The length fractions of particles in each bin, [-] number_fractions : list[float] The number fractions of particles in each bin, [-] fraction_cdf : list[float] The cumulative mass/mole/volume basis fractions of particles in each bin, [-] area_cdf : list[float] The cumulative area fractions of particles in each bin, [-] length_cdf : list[float] The cumulative length fractions of particles in each bin, [-] number_cdf : list[float] The cumulative number fractions of particles in each bin, [-] size_classes : bool Whether or not the diameter bins were set as size classes (as length of fractions + 1), [-] N : int The number of provided points, [-] Notes ----- Although the stated units of input are in meters, this class is actually independent of the units provided; all results will be consistent with the provided unit. Examples -------- Example problem from [1]_, calculating several diameters and the cumulative distribution. >>> import numpy as np >>> ds = 1E-6*np.array([240, 360, 450, 562.5, 703, 878, 1097, 1371, 1713, 2141, 2676, 3345, 4181, 5226, 6532]) >>> numbers = [65, 119, 232, 410, 629, 849, 990, 981, 825, 579, 297, 111, 21, 1] >>> psd = ParticleSizeDistribution(ds=ds, fractions=numbers, order=0) >>> psd References ---------- .. [1] ASTM E799 - 03(2015) - Standard Practice for Determining Data Criteria and Processing for Liquid Drop Size Analysis. .. [2] ISO 9276-2:2014 - Representation of Results of Particle Size Analysis - Part 2: Calculation of Average Particle Sizes/Diameters and Moments from Particle Size Distributions. ''' def __repr__(self): txt = '' return txt %(self.N, self.mean_size(p=3, q=3)) size_classes = False _interpolated = None points = True truncated = False name = 'Discrete' def __init__(self, ds, fractions, cdf=False, order=3, monotonic=True): self.monotonic = monotonic self.ds = ds self.order = order if ds is not None and (len(ds) == len(fractions) + 1): self.size_classes = True else: self.size_classes = False if cdf: # Convert a cdf to fraction set if len(fractions)+1 == len(ds): fractions = [fractions[0]] + diff(fractions) else: fractions = diff(fractions) fractions.insert(0, 0.0) elif sum(fractions) != 1.0: # Normalize flow inputs tot_inv = 1.0/sum(fractions) fractions = [i*tot_inv if i != 0.0 else 0.0 for i in fractions] self.N = len(fractions) # This will always be in base-3 basis if self.order != 3: power = 3 - self.order d3s = [self.di_power(i, power=power)*fractions[i] for i in range(self.N)] tot_d3 = sum(d3s) self.fractions = [i/tot_d3 for i in d3s] else: self.fractions = fractions # Set the number fractions D3s = [self.di_power(i, power=3) for i in range(self.N)] numbers = [Vi/Vp for Vi, Vp in zip(self.fractions, D3s)] number_sum = sum(numbers) self.number_fractions = [i/number_sum for i in numbers] # Set the length fractions D3s = [self.di_power(i, power=2) for i in range(self.N)] numbers = [Vi/Vp for Vi, Vp in zip(self.fractions, D3s)] number_sum = sum(numbers) self.length_fractions = [i/number_sum for i in numbers] # Set the surface area fractions D3s = [self.di_power(i, power=1) for i in range(self.N)] numbers = [Vi/Vp for Vi, Vp in zip(self.fractions, D3s)] number_sum = sum(numbers) self.area_fractions = [i/number_sum for i in numbers] # Things for interoperability with the Continuous distribution self.d_excessive = self.ds[-1] self.d_minimum = 0.0 self.parameters = {} self.order = 3 self.fraction_cdf = self.volume_cdf = cumsum(self.fractions) self.area_cdf = cumsum(self.area_fractions) self.length_cdf = cumsum(self.length_fractions) self.number_cdf = cumsum(self.number_fractions) @property def interpolated(self): if not self._interpolated: self._interpolated = PSDInterpolated(ds=self.ds, fractions=self.fractions, order=3, monotonic=self.monotonic) return self._interpolated def _pdf(self, d): return self.interpolated._pdf(d) def _cdf(self, d): return self.interpolated._cdf(d) def _pdf_basis_integral(self, d, n): return self.interpolated._pdf_basis_integral(d, n) def _fit_obj_function(self, vals, distribution, n): err = 0.0 dist = distribution(*list(vals)) l = len(self.fractions) if self.size_classes else len(self.fractions) - 1 for i in range(l): delta_cdf = dist.delta_cdf(d_min=self.ds[i], d_max=self.ds[i+1]) err += abs(delta_cdf - self.fractions[i]) return err def fit(self, x0=None, distribution='lognormal', n=None, **kwargs): """Incomplete method to fit experimental values to a curve. It is very hard to get good initial guesses, which are really required for this. Differential evolution is promising. This API is likely to change in the future. """ dist = {'lognormal': PSDLognormal, 'GGS': PSDGatesGaudinSchuhman, 'RR': PSDRosinRammler}[distribution] if distribution == 'lognormal': if x0 is None: d_characteristic = sum([fi*di for fi, di in zip(self.fractions, self.Dis)]) s = 0.4 x0 = [d_characteristic, s] elif distribution == 'GGS': if x0 is None: d_characteristic = sum([fi*di for fi, di in zip(self.fractions, self.Dis)]) m = 1.5 x0 = [d_characteristic, m] elif distribution == 'RR': if x0 is None: x0 = [5E-6, 1e-2] from scipy.optimize import minimize return minimize(self._fit_obj_function, x0, args=(dist, n), **kwargs) @property def Dis(self): """Representative diameters of each bin.""" return [self.di_power(i, power=1) for i in range(self.N)] def di_power(self, i, power=1): r'''Method to calculate a power of a particle class/bin in a generic way so as to support when there are as many `ds` as `fractions`, or one more diameter spec than `fractions`. When each bin has a lower and upper bound, the formula is as follows [1]_. .. math:: D_i^r = \frac{D_{i, ub}^{(r+1)} - D_{i, lb}^{(r+1)}} {(D_{i, ub} - D_{i, lb})(r+1)} Where `ub` represents the upper bound, and `lb` represents the lower bound. Otherwise, the standard definition is used: .. math:: D_i^r = D_i^r Parameters ---------- i : int The index of the diameter for the calculation, [-] power : int The exponent, [-] Returns ------- di_power : float The representative bin diameter raised to `power`, [m^power] References ---------- .. [1] ASTM E799 - 03(2015) - Standard Practice for Determining Data Criteria and Processing for Liquid Drop Size Analysis. ''' if self.size_classes: rt = power + 1 return ((self.ds[i+1]**rt - self.ds[i]**rt)/((self.ds[i+1] - self.ds[i])*rt)) else: return self.ds[i]**power def mean_size(self, p, q): ''' >>> import numpy as np >>> ds = 1E-6*np.array([240, 360, 450, 562.5, 703, 878, 1097, 1371, 1713, 2141, 2676, 3345, 4181, 5226, 6532]) >>> numbers = [65, 119, 232, 410, 629, 849, 990, 981, 825, 579, 297, 111, 21, 1] >>> psd = ParticleSizeDistribution(ds=ds, fractions=numbers, order=0) >>> psd.mean_size(3, 2) 0.002269321031745045 ''' if p != q: # Note: D(p, q) = D(q, p); in ISO and proven experimentally numerator = sum(self.di_power(i=i, power=p)*self.number_fractions[i] for i in range(self.N)) denominator = sum(self.di_power(i=i, power=q)*self.number_fractions[i] for i in range(self.N)) return (numerator/denominator)**(1.0/(p-q)) else: numerator = sum(log(self.di_power(i=i, power=1))*self.di_power(i=i, power=p)*self.number_fractions[i] for i in range(self.N)) denominator = sum(self.di_power(i=i, power=q)*self.number_fractions[i] for i in range(self.N)) return exp(numerator/denominator) def mean_size_ISO(self, k, r): r''' >>> import numpy as np >>> ds = 1E-6*np.array([240, 360, 450, 562.5, 703, 878, 1097, 1371, 1713, 2141, 2676, 3345, 4181, 5226, 6532]) >>> numbers = [65, 119, 232, 410, 629, 849, 990, 981, 825, 579, 297, 111, 21, 1] >>> psd = ParticleSizeDistribution(ds=ds, fractions=numbers, order=0) >>> psd.mean_size_ISO(1, 2) 0.002269321031745045 ''' p = k + r q = r return self.mean_size(p=p, q=q) @property def vssa(self): r'''The volume-specific surface area of a particle size distribution. Note this uses the diameters provided by the method `Dis`. .. math:: \text{VSSA} = \sum_i \text{fraction}_i \frac{SA_i}{V_i} Returns ------- VSSA : float The volume-specific surface area of the distribution, [m^2/m^3] References ---------- .. [1] ISO 9276-2:2014 - Representation of Results of Particle Size Analysis - Part 2: Calculation of Average Particle Sizes/Diameters and Moments from Particle Size Distributions. ''' ds = self.Dis Vs = [pi/6*di**3 for di in ds] SAs = [pi*di**2 for di in ds] SASs = [SA/V for SA, V in zip(SAs, Vs)] VSSA = sum([fi*SASi for fi, SASi in zip(self.fractions, SASs)]) return VSSA try: # pragma: no cover # Python 2 ParticleSizeDistributionContinuous.mean_size.__func__.__doc__ = _mean_size_docstring %(ParticleSizeDistributionContinuous.mean_size.__func__.__doc__) ParticleSizeDistributionContinuous.mean_size_ISO.__func__.__doc__ = _mean_size_iso_docstring %(ParticleSizeDistributionContinuous.mean_size_ISO.__func__.__doc__) ParticleSizeDistribution.mean_size.__func__.__doc__ = _mean_size_docstring %(ParticleSizeDistribution.mean_size.__func__.__doc__) ParticleSizeDistribution.mean_size_ISO.__func__.__doc__ = _mean_size_iso_docstring %(ParticleSizeDistribution.mean_size_ISO.__func__.__doc__) except AttributeError: # pragma: no cover try: # Python 3 ParticleSizeDistributionContinuous.mean_size.__doc__ = _mean_size_docstring %(ParticleSizeDistributionContinuous.mean_size.__doc__) ParticleSizeDistributionContinuous.mean_size_ISO.__doc__ = _mean_size_iso_docstring %(ParticleSizeDistributionContinuous.mean_size_ISO.__doc__) ParticleSizeDistribution.mean_size.__doc__ = _mean_size_docstring %(ParticleSizeDistribution.mean_size.__doc__) ParticleSizeDistribution.mean_size_ISO.__doc__ = _mean_size_iso_docstring %(ParticleSizeDistribution.mean_size_ISO.__doc__) except: pass # micropython del _mean_size_iso_docstring del _mean_size_docstring class PSDLognormal(ParticleSizeDistributionContinuous): name = 'Lognormal' points = False truncated = False def __init__(self, d_characteristic, s, order=3, d_min=None, d_max=None): self.s = s self.d_characteristic = d_characteristic self.order = order self.parameters = {'s': s, 'd_characteristic': d_characteristic, 'd_min': d_min, 'd_max': d_max} self.d_min = d_min self.d_max = d_max # Pick an upper bound for the search algorithm of 15 orders of magnitude larger than # the characteristic diameter; should never be a problem, as diameters can only range # so much, physically. if self.d_max is not None: self.d_excessive = self.d_max else: self.d_excessive = 1E15*self.d_characteristic if self.d_min is not None: self.d_minimum = self.d_min else: self.d_minimum = 0.0 if self.d_min is not None or self.d_max is not None: self.truncated = True if self.d_max is None: self.d_max = self.d_excessive if self.d_min is None: self.d_min = 0.0 self._cdf_d_max = self._cdf(self.d_max) self._cdf_d_min = self._cdf(self.d_min) def _pdf(self, d): return pdf_lognormal(d, d_characteristic=self.d_characteristic, s=self.s) def _cdf(self, d): return cdf_lognormal(d, d_characteristic=self.d_characteristic, s=self.s) def _pdf_basis_integral(self, d, n): return pdf_lognormal_basis_integral(d, d_characteristic=self.d_characteristic, s=self.s, n=n) class PSDGatesGaudinSchuhman(ParticleSizeDistributionContinuous): name = 'Gates Gaudin Schuhman' points = False truncated = False def __init__(self, d_characteristic, m, order=3, d_min=None, d_max=None): self.m = m self.d_characteristic = d_characteristic self.order = order self.parameters = {'m': m, 'd_characteristic': d_characteristic, 'd_min': d_min, 'd_max': d_max} if self.d_max is not None: # PDF above this is zero self.d_excessive = self.d_max else: self.d_excessive = self.d_characteristic if self.d_min is not None: self.d_minimum = self.d_min else: self.d_minimum = 0.0 if self.d_min is not None or self.d_max is not None: self.truncated = True if self.d_max is None: self.d_max = self.d_excessive if self.d_min is None: self.d_min = 0.0 self._cdf_d_max = self._cdf(self.d_max) self._cdf_d_min = self._cdf(self.d_min) def _pdf(self, d): return pdf_Gates_Gaudin_Schuhman(d, d_characteristic=self.d_characteristic, m=self.m) def _cdf(self, d): return cdf_Gates_Gaudin_Schuhman(d, d_characteristic=self.d_characteristic, m=self.m) def _pdf_basis_integral(self, d, n): return pdf_Gates_Gaudin_Schuhman_basis_integral(d, d_characteristic=self.d_characteristic, m=self.m, n=n) class PSDRosinRammler(ParticleSizeDistributionContinuous): name = 'Rosin Rammler' points = False truncated = False def __init__(self, k, m, order=3, d_min=None, d_max=None): self.m = m self.k = k self.order = order self.parameters = {'m': m, 'k': k, 'd_min': d_min, 'd_max': d_max} if self.d_max is not None: self.d_excessive = self.d_max else: self.d_excessive = 1e15 if self.d_min is not None: self.d_minimum = self.d_min else: self.d_minimum = 0.0 if self.d_min is not None or self.d_max is not None: self.truncated = True if self.d_max is None: self.d_max = self.d_excessive if self.d_min is None: self.d_min = 0.0 self._cdf_d_max = self._cdf(self.d_max) self._cdf_d_min = self._cdf(self.d_min) def _pdf(self, d): return pdf_Rosin_Rammler(d, k=self.k, m=self.m) def _cdf(self, d): return cdf_Rosin_Rammler(d, k=self.k, m=self.m) def _pdf_basis_integral(self, d, n): return pdf_Rosin_Rammler_basis_integral(d, k=self.k, m=self.m, n=n) '''# These are all brutally slow! from scipy.stats import * from fluids import * distribution = lognorm(s=0.5, scale=5E-6) psd = PSDCustom(distribution) # psd.dn(0.5, n=2.0) # Doesn't work at all, but the main things do including plots ''' class PSDCustom(ParticleSizeDistributionContinuous): name = '' points = False truncated = False def __init__(self, distribution, order=3.0, d_excessive=1.0, name=None, d_min=None, d_max=None): if name: self.name = name else: try: self.name = distribution.dist.__class__.__name__ except: pass try: self.parameters = dict(distribution.kwds) self.parameters.update({'d_min': d_min, 'd_max': d_max}) except: self.parameters = {'d_min': d_min, 'd_max': d_max} self.distribution = distribution self.order = order self.d_max = d_max self.d_min = d_min if self.d_max is not None: self.d_excessive = self.d_max else: self.d_excessive = d_excessive if self.d_min is not None: self.d_minimum = self.d_min else: self.d_minimum = 0.0 if self.d_min is not None or self.d_max is not None: self.truncated = True if self.d_max is None: self.d_max = self.d_excessive if self.d_min is None: self.d_min = 0.0 self._cdf_d_max = self._cdf(self.d_max) self._cdf_d_min = self._cdf(self.d_min) def _pdf(self, d): return self.distribution.pdf(d) def _cdf(self, d): return self.distribution.cdf(d) def _pdf_basis_integral_definite(self, d_min, d_max, n): # Needed as an api for numerical integrals n = float(n) if d_min == 0: d_min = d_max*1E-12 if n == 0: to_int = lambda d : self._pdf(d) elif n == 1: to_int = lambda d : d*self._pdf(d) elif n == 2: to_int = lambda d : d*d*self._pdf(d) elif n == 3: to_int = lambda d : d*d*d*self._pdf(d) else: to_int = lambda d : d**n*self._pdf(d) # points = logspace(log10(max(d_max*1e-3, d_min)), log10(d_max*.999), 40) points = [d_max*1e-3] # d_min*.999 d_min return float(quad(to_int, d_min, d_max, points=points)[0]) # class PSDInterpolated(ParticleSizeDistributionContinuous): name = 'Interpolated' points = True truncated = False def __init__(self, ds, fractions, order=3, monotonic=True): self.order = order self.monotonic = monotonic self.parameters = {} ds = list(ds) fractions = list(fractions) if len(ds) == len(fractions)+1: # size classes, the last point will be zero fractions.insert(0, 0.0) self.d_minimum = min(ds) elif ds[0] != 0: ds = [0] + ds if len(ds) != len(fractions): fractions = [0] + fractions self.d_minimum = 0.0 self.ds = ds self.fractions = fractions self.d_excessive = max(ds) self.fraction_cdf = cumsum(fractions) if self.monotonic: from scipy.interpolate import PchipInterpolator globals()['PchipInterpolator'] = PchipInterpolator self.cdf_spline = PchipInterpolator(ds, self.fraction_cdf, extrapolate=True) self.pdf_spline = PchipInterpolator(ds, self.fraction_cdf, extrapolate=True).derivative(1) else: from scipy.interpolate import UnivariateSpline globals()['UnivariateSpline'] = UnivariateSpline self.cdf_spline = UnivariateSpline(ds, self.fraction_cdf, ext=3, s=0) self.pdf_spline = UnivariateSpline(ds, self.fraction_cdf, ext=3, s=0).derivative(1) # The pdf basis integral splines will be stored here self.basis_integrals = {} def _pdf(self, d): return max(0.0, float(self.pdf_spline(d))) def _cdf(self, d): if d > self.d_excessive: # Handle spline values past 1 that decrease to zero return 1.0 return max(0.0, float(self.cdf_spline(d))) def _pdf_basis_integral(self, d, n): # there are slight errors with this approach - but they are OK to # ignore. # DO NOT evaluate the first point as it leads to inf values; just set # it to zero from fluids.numerics import numpy as np if n not in self.basis_integrals: ds = np.array(self.ds[1:]) pdf_vals = self.pdf_spline(ds) basis_integral = ds**n*pdf_vals if self.monotonic: from scipy.interpolate import PchipInterpolator self.basis_integrals[n] = PchipInterpolator(ds, basis_integral, extrapolate=True).antiderivative(1) else: from scipy.interpolate import UnivariateSpline self.basis_integrals[n] = UnivariateSpline(ds, basis_integral, ext=3, s=0).antiderivative(n=1) return max(float(self.basis_integrals[n](d)), 0.0) fluids-1.0.22/fluids/saltation.py0000644000175000017500000004317014302004506016245 0ustar nileshnilesh# -*- coding: utf-8 -*- """Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2016, Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. This module contains correlations for calculating the saltation velocity of entrained particles. For reporting bugs, adding feature requests, or submitting pull requests, please use the `GitHub issue tracker `_ or contact the author at Caleb.Andrew.Bell@gmail.com. .. contents:: :local: Correlations ------------ .. autofunction :: Rizk .. autofunction :: Matsumoto_1974 .. autofunction :: Matsumoto_1975 .. autofunction :: Matsumoto_1977 .. autofunction :: Schade .. autofunction :: Weber_saltation .. autofunction :: Geldart_Ling """ from __future__ import division from fluids.constants import g, pi from math import sqrt __all__ = ['Rizk', 'Matsumoto_1974', 'Matsumoto_1975', 'Matsumoto_1977', 'Schade', 'Weber_saltation', 'Geldart_Ling'] def Rizk(mp, dp, rhog, D): r'''Calculates saltation velocity of the gas for pneumatic conveying, according to [1]_ as described in [2]_ and many others. .. math:: \mu=\left(\frac{1}{10^{1440d_p+1.96}}\right)\left(Fr_s\right)^{1100d_p+2.5} .. math:: Fr_s = \frac{V_{salt}}{\sqrt{gD}} .. math:: \mu = \frac{m_p}{\frac{\pi}{4}D^2V \rho_f} Parameters ---------- mp : float Solid mass flow rate, [kg/s] dp : float Particle diameter, [m] rhog : float Gas density, [kg/m^3] D : float Diameter of pipe, [m] Returns ------- V : float Saltation velocity of gas, [m/s] Notes ----- Model is rearranged to be explicit in terms of saltation velocity internally. Examples -------- Example is from [3]_. >>> Rizk(mp=0.25, dp=100E-6, rhog=1.2, D=.078) 9.8833092829357 References ---------- .. [1] Rizk, F. "Pneumatic conveying at optimal operation conditions and a solution of Bath's equation." Proceedings of Pneumotransport 3, paper D4. BHRA Fluid Engineering, Cranfield, England (1973) .. [2] Klinzing, G. E., F. Rizk, R. Marcus, and L. S. Leung. Pneumatic Conveying of Solids: A Theoretical and Practical Approach. Springer, 2013. .. [3] Rhodes, Martin J. Introduction to Particle Technology. Wiley, 2013. ''' alpha = 1440.0*dp + 1.96 beta = 1100.0*dp + 2.5 term1 = 0.1**alpha Frs_sorta = 1.0/sqrt(g*D) expression1 = term1*Frs_sorta**beta expression2 = mp/rhog/(pi/4*D*D) return (expression2/expression1)**(1./(1. + beta)) def Matsumoto_1974(mp, rhop, dp, rhog, D, Vterminal=1): r'''Calculates saltation velocity of the gas for pneumatic conveying, according to [1]_. Also described in [2]_. .. math:: \mu = 0.448 \left(\frac{\rho_p}{\rho_f}\right)^{0.50}\left(\frac{Fr_p} {10}\right)^{-1.75}\left(\frac{Fr_s}{10}\right)^{3} .. math:: Fr_s = \frac{V_{salt}}{\sqrt{gD}} .. math:: Fr_p = \frac{V_{terminal}}{\sqrt{gd_p}} .. math:: \mu = \frac{m_p}{\frac{\pi}{4}D^2V \rho_f} Parameters ---------- mp : float Solid mass flow rate, [kg/s] rhop : float Particle density, [kg/m^3] dp : float Particle diameter, [m] rhog : float Gas density, [kg/m^3] D : float Diameter of pipe, [m] Vterminal : float Terminal velocity of particle settling in gas, [m/s] Returns ------- V : float Saltation velocity of gas, [m/s] Notes ----- Model is rearranged to be explicit in terms of saltation velocity internally. Result looks high, something may be wrong. For particles > 0.3 mm. Examples -------- >>> Matsumoto_1974(mp=1., rhop=1000., dp=1E-3, rhog=1.2, D=0.1, Vterminal=5.24) 19.583617317317895 References ---------- .. [1] Matsumoto, Shigeru, Michio Kara, Shozaburo Saito, and Siro Maeda. "Minimum Transport Velocity for Horizontal Pneumatic Conveying." Journal of Chemical Engineering of Japan 7, no. 6 (1974): 425-30. doi:10.1252/jcej.7.425. .. [2] Jones, Peter J., and L. S. Leung. "A Comparison of Correlations for Saltation Velocity in Horizontal Pneumatic Conveying." Industrial & Engineering Chemistry Process Design and Development 17, no. 4 (October 1, 1978): 571-75. doi:10.1021/i260068a031 ''' A = pi/4*D**2 Frp = Vterminal/sqrt(g*dp) Frs_sorta = 1./sqrt(g*D) expression1 = 0.448*sqrt(rhop/rhog)*(Frp/10.)**-1.75*(Frs_sorta/10.)**3 expression2 = mp/rhog/A return (expression2/expression1)**(1/4.) def Matsumoto_1975(mp, rhop, dp, rhog, D, Vterminal=1): r'''Calculates saltation velocity of the gas for pneumatic conveying, according to [1]_. Also described in [2]_. .. math:: \mu = 1.11 \left(\frac{\rho_p}{\rho_f}\right)^{0.55}\left(\frac{Fr_p} {10}\right)^{-2.3}\left(\frac{Fr_s}{10}\right)^{3} .. math:: Fr_s = \frac{V_{salt}}{\sqrt{gD}} .. math:: Fr_p = \frac{V_{terminal}}{\sqrt{gd_p}} .. math:: \mu = \frac{m_p}{\frac{\pi}{4}D^2V \rho_f} Parameters ---------- mp : float Solid mass flow rate, [kg/s] rhop : float Particle density, [kg/m^3] dp : float Particle diameter, [m] rhog : float Gas density, [kg/m^3] D : float Diameter of pipe, [m] Vterminal : float Terminal velocity of particle settling in gas, [m/s] Returns ------- V : float Saltation velocity of gas, [m/s] Notes ----- Model is rearranged to be explicit in terms of saltation velocity internally. Result looks high, something may be wrong. For particles > 0.3 mm. Examples -------- >>> Matsumoto_1975(mp=1., rhop=1000., dp=1E-3, rhog=1.2, D=0.1, Vterminal=5.24) 18.04523091703009 References ---------- .. [1] Matsumoto, Shigeru, Shundo Harada, Shozaburo Saito, and Siro Maeda. "Saltation Velocity for Horizontal Pneumatic Conveying." Journal of Chemical Engineering of Japan 8, no. 4 (1975): 331-33. doi:10.1252/jcej.8.331. .. [2] Jones, Peter J., and L. S. Leung. "A Comparison of Correlations for Saltation Velocity in Horizontal Pneumatic Conveying." Industrial & Engineering Chemistry Process Design and Development 17, no. 4 (October 1, 1978): 571-75. doi:10.1021/i260068a031 ''' A = pi/4*D**2 Frp = Vterminal/sqrt(g*dp) Frs_sorta = 1./sqrt(g*D) expression1 = 1.11*(rhop/rhog)**0.55*(Frp/10.)**-2.3*(Frs_sorta/10.)**3 expression2 = mp/rhog/A return (expression2/expression1)**(1/4.) def Matsumoto_1977(mp, rhop, dp, rhog, D, Vterminal=1): r'''Calculates saltation velocity of the gas for pneumatic conveying, according to [1]_ and reproduced in [2]_, [3]_, and [4]_. First equation is used if third equation yields d* higher than dp. Otherwise, use equation 2. .. math:: \mu = 5560\left(\frac{d_p}{D}\right)^{1.43}\left(\frac{Fr_s}{10}\right)^4 .. math:: \mu = 0.373 \left(\frac{\rho_p}{\rho_f}\right)^{1.06}\left(\frac{Fr_p} {10}\right)^{-3.7}\left(\frac{Fr_s}{10}\right)^{3.61} .. math:: \frac{d_p^*}{D} = 1.39\left(\frac{\rho_p}{\rho_f}\right)^{-0.74} .. math:: Fr_s = \frac{V_{salt}}{\sqrt{gD}} .. math:: Fr_p = \frac{V_{terminal}}{\sqrt{gd_p}} .. math:: \mu = \frac{m_p}{\frac{\pi}{4}D^2V \rho_f} Parameters ---------- mp : float Solid mass flow rate, [kg/s] rhop : float Particle density, [kg/m^3] dp : float Particle diameter, [m] rhog : float Gas density, [kg/m^3] D : float Diameter of pipe, [m] Vterminal : float Terminal velocity of particle settling in gas, [m/s] Returns ------- V : float Saltation velocity of gas, [m/s] Notes ----- Model is rearanged to be explicit in terms of saltation velocity internally.r Examples -------- Example is only a self-test. Course routine, terminal velocity input is from example in [2]. >>> Matsumoto_1977(mp=1., rhop=1000., dp=1E-3, rhog=1.2, D=0.1, Vterminal=5.24) 16.64284834446686 References ---------- .. [1] Matsumoto, Shigeru, Makoto Kikuta, and Siro Maeda. "Effect of Particle Size on the Minimum Transport Velocity for Horizontal Pneumatic Conveying of Solids." Journal of Chemical Engineering of Japan 10, no. 4 (1977): 273-79. doi:10.1252/jcej.10.273. .. [2] Klinzing, G. E., F. Rizk, R. Marcus, and L. S. Leung. Pneumatic Conveying of Solids: A Theoretical and Practical Approach. Springer, 2013. .. [3] Gomes, L. M., and A. L. Amarante Mesquita. "On the Prediction of Pickup and Saltation Velocities in Pneumatic Conveying." Brazilian Journal of Chemical Engineering 31, no. 1 (March 2014): 35-46. doi:10.1590/S0104-66322014000100005 .. [4] Rabinovich, Evgeny, and Haim Kalman. "Threshold Velocities of Particle-Fluid Flows in Horizontal Pipes and Ducts: Literature Review." Reviews in Chemical Engineering 27, no. 5-6 (January 1, 2011). doi:10.1515/REVCE.2011.011. ''' limit = 1.39*D*(rhop/rhog)**-0.74 A = pi/4*D**2 if limit < dp: # Coarse routine Frp = Vterminal/sqrt(g*dp) Frs_sorta = 1./sqrt(g*D) expression1 = 0.373*(rhop/rhog)**1.06*(Frp/10.)**-3.7*(Frs_sorta/10.)**3.61 expression2 = mp/rhog/A return (expression2/expression1)**(1/4.61) else: Frs_sorta = 1./sqrt(g*D) expression1 = 5560*(dp/D)**1.43*(Frs_sorta/10.)**4 expression2 = mp/rhog/A return (expression2/expression1)**(0.2) def Schade(mp, rhop, dp, rhog, D): r'''Calculates saltation velocity of the gas for pneumatic conveying, according to [1]_ as described in [2]_, [3]_, [4]_, and [5]_. .. math:: Fr_s = \mu^{0.11}\left(\frac{D}{d_p}\right)^{0.025}\left(\frac{\rho_p} {\rho_f}\right)^{0.34} .. math:: Fr_s = \frac{V_{salt}}{\sqrt{gD}} .. math:: \mu = \frac{m_p}{\frac{\pi}{4}D^2V \rho_f} Parameters ---------- mp : float Solid mass flow rate, [kg/s] rhop : float Particle density, [kg/m^3] dp : float Particle diameter, [m] rhog : float Gas density, [kg/m^3] D : float Diameter of pipe, [m] Returns ------- V : float Saltation velocity of gas, [m/s] Notes ----- Model is rearranged to be explicit in terms of saltation velocity internally. Examples -------- >>> Schade(mp=1., rhop=1000., dp=1E-3, rhog=1.2, D=0.1) 13.697415809497912 References ---------- .. [1] Schade, B., Zum Ubergang Sprung-Strahnen-forderung bei der Horizontalen Pneumatischen Feststoffordrung. Dissertation, University of Karlsruche (1987) .. [2] Rabinovich, Evgeny, and Haim Kalman. "Threshold Velocities of Particle-Fluid Flows in Horizontal Pipes and Ducts: Literature Review." Reviews in Chemical Engineering 27, no. 5-6 (January 1, 2011). doi:10.1515/REVCE.2011.011. .. [3] Setia, G., S. S. Mallick, R. Pan, and P. W. Wypych. "Modeling Minimum Transport Boundary for Fluidized Dense-Phase Pneumatic Conveying Systems." Powder Technology 277 (June 2015): 244-51. doi:10.1016/j.powtec.2015.02.050. .. [4] Bansal, A., S. S. Mallick, and P. W. Wypych. "Investigating Straight-Pipe Pneumatic Conveying Characteristics for Fluidized Dense-Phase Pneumatic Conveying." Particulate Science and Technology 31, no. 4 (July 4, 2013): 348-56. doi:10.1080/02726351.2012.732677. .. [5] Gomes, L. M., and A. L. Amarante Mesquita. "On the Prediction of Pickup and Saltation Velocities in Pneumatic Conveying." Brazilian Journal of Chemical Engineering 31, no. 1 (March 2014): 35-46. doi:10.1590/S0104-66322014000100005 ''' B = (D/dp)**0.025*(rhop/rhog)**0.34 A = sqrt(g*D) C = mp/(rhog*pi/4*D**2) return (C**0.11*B*A)**(1/1.11) def Weber_saltation(mp, rhop, dp, rhog, D, Vterminal=4): r'''Calculates saltation velocity of the gas for pneumatic conveying, according to [1]_ as described in [2]_, [3]_, [4]_, and [5]_. If Vterminal is under 3 m/s, use equation 1; otherwise, equation 2. .. math:: Fr_s = \left(7 + \frac{8}{3}V_{terminal}\right)\mu^{0.25} \left(\frac{d_p}{D}\right)^{0.1} .. math:: Fr_s = 15\mu^{0.25}\left(\frac{d_p}{D}\right)^{0.1} .. math:: Fr_s = \frac{V_{salt}}{\sqrt{gD}} .. math:: \mu = \frac{m_p}{\frac{\pi}{4}D^2V \rho_f} Parameters ---------- mp : float Solid mass flow rate, [kg/s] rhop : float Particle density, [kg/m^3] dp : float Particle diameter, [m] rhog : float Gas density, [kg/m^3] D : float Diameter of pipe, [m] Vterminal : float Terminal velocity of particle settling in gas, [m/s] Returns ------- V : float Saltation velocity of gas, [m/s] Notes ----- Model is rearranged to be explicit in terms of saltation velocity internally. Examples -------- Examples are only a self-test. >>> Weber_saltation(mp=1, rhop=1000., dp=1E-3, rhog=1.2, D=0.1, Vterminal=4) 15.227445436331474 References ---------- .. [1] Weber, M. 1981. Principles of hydraulic and pneumatic conveying in pipes. Bulk Solids Handling 1: 57-63. .. [2] Rabinovich, Evgeny, and Haim Kalman. "Threshold Velocities of Particle-Fluid Flows in Horizontal Pipes and Ducts: Literature Review." Reviews in Chemical Engineering 27, no. 5-6 (January 1, 2011). doi:10.1515/REVCE.2011.011. .. [3] Setia, G., S. S. Mallick, R. Pan, and P. W. Wypych. "Modeling Minimum Transport Boundary for Fluidized Dense-Phase Pneumatic Conveying Systems." Powder Technology 277 (June 2015): 244-51. doi:10.1016/j.powtec.2015.02.050. .. [4] Bansal, A., S. S. Mallick, and P. W. Wypych. "Investigating Straight-Pipe Pneumatic Conveying Characteristics for Fluidized Dense-Phase Pneumatic Conveying." Particulate Science and Technology 31, no. 4 (July 4, 2013): 348-56. doi:10.1080/02726351.2012.732677. .. [5] Gomes, L. M., and A. L. Amarante Mesquita. "On the Prediction of Pickup and Saltation Velocities in Pneumatic Conveying." Brazilian Journal of Chemical Engineering 31, no. 1 (March 2014): 35-46. doi:10.1590/S0104-66322014000100005 ''' if Vterminal <= 3: term1 = (7 + 8/3.*Vterminal)*(dp/D)**0.1 else: term1 = 15.*(dp/D)**0.1 term2 = 1./sqrt(g*D) term3 = mp/rhog/(pi/4*D**2) return (term1/term2*sqrt(sqrt(term3)))**(1/1.25) def Geldart_Ling(mp, rhog, D, mug): r'''Calculates saltation velocity of the gas for pneumatic conveying, according to [1]_ as described in [2]_ and [3]_. if Gs/D < 47000, use equation 1, otherwise use equation 2. .. math:: V_{salt} = 1.5G_s^{0.465}D^{-0.01} \mu^{0.055}\rho_f^{-0.42} .. math:: V_{salt} = 8.7G_s^{0.302}D^{0.153} \mu^{0.055}\rho_f^{-0.42} .. math:: Fr_s = 15\mu^{0.25}\left(\frac{d_p}{D}\right)^{0.1} .. math:: Fr_s = \frac{V_{salt}}{\sqrt{gD}} .. math:: \mu = \frac{m_p}{\frac{\pi}{4}D^2V \rho_f} .. math:: G_s = \frac{m_p}{A} Parameters ---------- mp : float Solid mass flow rate, [kg/s] rhog : float Gas density, [kg/m^3] D : float Diameter of pipe, [m] mug : float Gas viscosity, [Pa*s] Returns ------- V : float Saltation velocity of gas, [m/s] Notes ----- Model is rearranged to be explicit in terms of saltation velocity internally. Examples -------- >>> Geldart_Ling(1., 1.2, 0.1, 2E-5) 7.467495862402707 References ---------- .. [1] Weber, M. 1981. Principles of hydraulic and pneumatic conveying in pipes. Bulk Solids Handling 1: 57-63. .. [2] Rabinovich, Evgeny, and Haim Kalman. "Threshold Velocities of Particle-Fluid Flows in Horizontal Pipes and Ducts: Literature Review." Reviews in Chemical Engineering 27, no. 5-6 (January 1, 2011). doi:10.1515/REVCE.2011.011. .. [3] Gomes, L. M., and A. L. Amarante Mesquita. "On the Prediction of Pickup and Saltation Velocities in Pneumatic Conveying." Brazilian Journal of Chemical Engineering 31, no. 1 (March 2014): 35-46. doi:10.1590/S0104-66322014000100005 ''' Gs = mp/(0.25*pi*D*D) if Gs/D <= 47000.0: return 1.5*Gs**0.465*D**-0.01*mug**0.055*rhog**-0.42 else: return 8.7*Gs**0.302*D**0.153*mug**0.055*rhog**-0.42 fluids-1.0.22/fluids/units.py0000644000175000017500000006576414302004506015426 0ustar nileshnilesh# -*- coding: utf-8 -*- """Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2017, 2018, 2019, 2020, 2021, Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. """ from __future__ import division __all__ = ['wraps_numpydoc', 'u'] import types import re import inspect import sys from inspect import getsource, cleandoc import functools try: from collections.abc import Iterable except: from collections import Iterable from copy import copy import fluids import fluids.vectorized import numpy as np ndarray = np.ndarray try: import pint from pint import _DEFAULT_REGISTRY as u from pint import DimensionalityError except ImportError: # pragma: no cover raise ImportError('The unit handling in fluids requires the installation ' 'of the package pint, available on pypi or from ' 'https://github.com/hgrecco/pint') '''See fluids.units.rst for documentation for this module. ''' try: doc_stripped = sys.flags.optimize == 2 except: doc_stripped = False # is_critical_flow is broken def get_docstring(f): '''Returns the docstring of a function, working in -OO mode also. ''' try: if f.__doc__ is not None: return f.__doc__ except: # micropython return None if not doc_stripped: return None src = cleandoc(inspect.getsource(f)) single_pos = src.find("'''") double_pos = src.find('"""') if single_pos == -1: if double_pos == -1: # Neither return None # double, not single return cleandoc(src.split('"""')[1]) elif double_pos == -1 and single_pos != -1: # single, not double return cleandoc(src.split("'''")[1]) else: # single and double if single_pos < double_pos: return cleandoc(src.split("'''")[1]) return cleandoc(src.split('"""')[1]) def func_args(func): """Basic function which returns a tuple of arguments of a function or method.""" try: return tuple(inspect.getfullargspec(func).args) except: return tuple(inspect.getargspec(func).args) u.autoconvert_offset_to_baseunit = True expr = re.compile('Parameters *\n *-+\n +') expr2 = re.compile('Returns *\n *-+\n +') match_sections = re.compile('\n *[A-Za-z ]+ *\n *-+') match_section_names = re.compile('\n *[A-Za-z]+ *\n *-+') variable = re.compile('[a-zA-Z_0-9]* : ') match_units = re.compile(r'\[[a-zA-Z0-9().\/*^\- ]*\]') def make_dimensionless_units(unit_str): if unit_str == '-': unit_str = 'dimensionless' elif unit_str == 'various': unit_str = 'dimensionless' elif unit_str == 'base SI': unit_str = 'dimensionless' return unit_str parse_numpydoc_variables_units_cache = {} def parse_numpydoc_variables_units(func, replace=None): text = get_docstring(func) if text is None: text = '' if replace is not None: for k, v in replace: text = text.replace(k, v) h = hash(text) if h in parse_numpydoc_variables_units_cache: return parse_numpydoc_variables_units_cache[h] res = parse_numpydoc_variables_units_docstring(text) parse_numpydoc_variables_units_cache[h] = res return res def parse_numpydoc_variables_units_docstring(text): section_names = [i.replace('-', '').strip() for i in match_sections.findall(text)] section_text = match_sections.split(text) sections = {} for i, j in zip(section_names, section_text[1:]): sections[i] = j parsed = {} for section in ['Parameters', 'Returns', 'Attributes', 'Other Parameters']: if section not in sections: # Handle the case where the function has nothing in a section parsed[section] = {'units': [], 'vars': []} continue p = sections[section] parameter_vars = [i[:-2].strip() for i in variable.findall(p)] unit_strings = [i.strip() for i in variable.split(p)[1:]] units = [] for i in unit_strings: matches = match_units.findall(i) if len(matches) == 0: # If there is no unit listed, assume it's dimensionless (probably a string) matches = ['[]'] match = matches[-1] # Assume the last bracketed group listed is the unit group match = match.replace('[', '').replace(']', '') if len(match) == 1: match = make_dimensionless_units(match) match = make_dimensionless_units(match) if match == '': match = 'dimensionless' # if match == 'base SI': # match = 'dimensionless' # TODO - write special wrappers for these cases units.append(match) parsed[section] = {'units': units, 'vars': parameter_vars} return parsed def check_args_order(func): """Reads a numpydoc function and compares the Parameters and Other Parameters with the input arguments of the actual function signature. Raises an exception if not correctly defined. getargspec is used for Python 2.7 compatibility and is deprecated in Python 3. >>> check_args_order(fluids.core.Reynolds) """ try: argspec = inspect.getfullargspec(func) except: argspec = inspect.getargspec(func) parsed_data = parse_numpydoc_variables_units(func) # compare the parsed arguments with those actually defined parsed_units = copy(parsed_data['Parameters']['units']) parsed_parameters = copy(parsed_data['Parameters']['vars']) if 'Other Parameters' in parsed_data: parsed_parameters += parsed_data['Other Parameters']['vars'] parsed_units += parsed_data['Other Parameters']['units'] if argspec.args != parsed_parameters: # pragma: no cover raise ValueError('Function %s signature is not the same as the documentation' ' signature = %s; documentation = %s' %(func.__name__, argspec.args, parsed_parameters)) def match_parse_units(doc, i=-1): if doc is None: matches = ['[]'] else: matches = match_units.findall(doc) if len(matches) == 0: # If there is no unit listed, assume it's dimensionless (probably a string) matches = ['[]'] match = matches[i] # Assume the last bracketed group listed is the unit group match = match.replace('[', '').replace(']', '') if len(match) == 1: match = make_dimensionless_units(match) if match == '': match = 'dimensionless' if match == 'base SI': match = 'dimensionless' # TODO - write special wrappers for these cases return match def convert_input(val, unit, ureg, strict=True): if val is None: return val # Handle optional units which are given if unit != 'dimensionless': try: return val.to(unit).magnitude except AttributeError: if strict: raise TypeError('%s has no quantity' %(val)) else: return val except DimensionalityError as e: raise ValueError('Converting %s to units of %s raised DimensionalityError: %s'%(val, unit, str(e))) else: if type(val) == ureg.Quantity: return val.to_base_units().magnitude else: return val pint_expression_cache = {} def parse_expression_cached(unit, ureg): if unit in pint_expression_cache: return pint_expression_cache[unit] ans = ureg.parse_expression(unit) pint_expression_cache[unit] = ans return ans def convert_output(result, out_units, out_vars, ureg): # Attempt to handle multiple return values # Must be able to convert all values to a pint expression t = type(result) output_count = len(out_units) if t is str or t is bool or result is None: return result elif t is dict: for key, ans in result.items(): unit = out_units[out_vars.index(key)] result[key] = ans*parse_expression_cached(unit, ureg) return result elif (t is list or t is ndarray) and output_count == 1: return np.array(result)*parse_expression_cached(out_units[0], ureg) elif isinstance(result, Iterable): conveted_result = [] for ans, unit in zip(result, out_units): conveted_result.append(ans*parse_expression_cached(unit, ureg)) return conveted_result else: return result*parse_expression_cached(out_units[0], ureg) in_vars_cache = {} in_units_cache = {} out_vars_cache = {} out_units_cache = {} def wraps_numpydoc(ureg, strict=True): def decorator(func): assigned = (attr for attr in functools.WRAPPER_ASSIGNMENTS if hasattr(func, attr)) updated = (attr for attr in functools.WRAPPER_UPDATES if hasattr(func, attr)) parsed_info = parse_numpydoc_variables_units(func) in_vars = copy(parsed_info['Parameters']['vars']) in_units = copy(parsed_info['Parameters']['units']) if 'Other Parameters' in parsed_info: in_vars += parsed_info['Other Parameters']['vars'] in_units += parsed_info['Other Parameters']['units'] in_vars_to_dict = {} for i, j in zip(in_vars, in_units): in_vars_to_dict[i] = j out_units = parsed_info['Returns']['units'] out_vars = parsed_info['Returns']['vars'] # Handle the case of dict answers - require the first line's args to be # parsed as 'results' if out_vars and 'results' == out_vars[0]: out_units.pop(0) out_vars.pop(0) in_vars_cache[func] = in_vars in_units_cache[func] = in_units out_vars_cache[func] = out_vars out_units_cache[func] = out_units @functools.wraps(func, assigned=assigned, updated=updated) def wrapper(*values, **kw): # Convert input ordered variables to dimensionless form, after converting # them to the the units specified by their documentation conv_values = [] for val, unit in zip(values, in_units): conv_values.append(convert_input(val, unit, ureg, strict)) # For keyword arguments, lookup their unit; convert to that; # handle dimensionless arguments the same way kwargs = {} for name, val in kw.items(): unit = in_vars_to_dict[name] kwargs[name] = convert_input(val, unit, ureg, strict) if any([type(i.m) == np.ndarray for i in list(kw.values()) + list(values) if type(i) == u.Quantity]): result = getattr(fluids.vectorized, func.__name__)(*conv_values, **kwargs) else: result = func(*conv_values, **kwargs) if type(result) == np.ndarray: units = convert_output(result, out_units, out_vars, ureg)[0].units return result*units else: return convert_output(result, out_units, out_vars, ureg) return wrapper return decorator class UnitAwareClass(object): wrapped = None ureg = u strict = True property_units = {} # for properties and attributes only method_units = {} def __repr__(self): '''Called only on the class instance, not any instance - ever. https://stackoverflow.com/questions/10376604/overriding-special-methods-on-an-instance ''' return self.wrapped.__repr__() def __add__(self, other): new_obj = self.wrapped.__add__(other.wrapped) new_instance = copy(self) new_instance.wrapped = new_obj return new_instance def __sub__(self, other): new_obj = self.wrapped.__sub__(other.wrapped) new_instance = copy(self) new_instance.wrapped = new_obj return new_instance def __init__(self, *args, **kwargs): args_base, kwargs_base = self.input_units_to_dimensionless('__init__', *args, **kwargs) self.wrapped = self.wrapped(*args_base, **kwargs_base) @classmethod def wrap(self, wrapped): new = super(self, self).__new__(self) new.wrapped = wrapped return new def __getattr__(self, name): instance = True if name in self.class_methods or name in self.static_methods: instance = False try: value = getattr(self.wrapped, name) except Exception as e: raise AttributeError('Failed to get property %s with error %s' %(str(name), str(e))) if value is not None: if name in self.property_units: if type(value) == dict: d = {} unit = self.property_units[name] for key, val in value.items(): d[key] = val*unit return d try: return value*self.property_units[name] except: # Not everything is going to work. The most common case here # is returning a list, some of the values being None and so # it cannot be wrapped. return value else: if hasattr(value, '__call__'): # if not instance: # @functools.wraps(value) # # Special case where self needs to be passed in specifically # def call_func_with_inputs_to_SI(*args, **kwargs): # args_base, kwargs_base = self.input_units_to_dimensionless(self, name, *args, **kwargs) # result = value(*args_base, **kwargs_base) # if name == '__init__': # return result # _, _, _, out_vars, out_units = self.method_units[name] # if not out_units: # return # return convert_output(result, out_units, out_vars, self.ureg) # # else: @functools.wraps(value) def call_func_with_inputs_to_SI(*args, **kwargs): args_base, kwargs_base = self.input_units_to_dimensionless(name, *args, **kwargs) result = value(*args_base, **kwargs_base) if name == '__init__': return result elif type(result) is self.wrapped: # Creating a new class, wrap it return self.wrap(result) _, _, _, out_vars, out_units = self.method_units[name] if not out_units: return return convert_output(result, out_units, out_vars, self.ureg) return call_func_with_inputs_to_SI raise AttributeError('Error: Property does not yet have units attached') else: return value _another_getattr = classmethod(__getattr__) @classmethod def input_units_to_dimensionless(self, name, *values, **kw): in_vars, in_units, in_vars_to_dict, out_vars, out_units = self.method_units[name] conv_values = [] for val, unit in zip(values, in_units): conv_values.append(convert_input(val, unit, self.ureg, self.strict)) # For keyword arguments, lookup their unit; convert to that; # handle dimensionless arguments the same way kwargs = {} for name, val in kw.items(): unit = in_vars_to_dict[name] kwargs[name] = convert_input(val, unit, self.ureg, self.strict) return conv_values, kwargs def clean_parsed_info(parsed_info): in_vars = parsed_info['Parameters']['vars'] in_units = parsed_info['Parameters']['units'] if 'Other Parameters' in parsed_info: in_vars += parsed_info['Other Parameters']['vars'] in_units += parsed_info['Other Parameters']['units'] in_vars_to_dict = {} for i, j in zip(in_vars, in_units): in_vars_to_dict[i] = j out_units = parsed_info['Returns']['units'] out_vars = parsed_info['Returns']['vars'] # Handle the case of dict answers - require the first line's args to be # parsed as 'results' if out_vars and 'results' == out_vars[0]: out_units.pop(0) out_vars.pop(0) return in_vars, in_units, in_vars_to_dict, out_vars, out_units def wrap_numpydoc_obj(obj_to_wrap): callable_methods = {} property_unit_map = {} static_methods = set([]) class_methods = set([]) try: replace = [('`units`', obj_to_wrap.units)] except: replace = None other_bases = obj_to_wrap.__mro__[1:-1] for prop in dir(obj_to_wrap): attr = getattr(obj_to_wrap, prop) if isinstance(attr, types.FunctionType) or isinstance(attr, types.MethodType) or type(attr) == property: try: if isinstance(obj_to_wrap.__dict__[prop], staticmethod): static_methods.add(prop) if isinstance(obj_to_wrap.__dict__[prop], classmethod): class_methods.add(prop) except: pass if type(attr) is property: name = prop #name = attr.fget.__name__ else: name = prop # Do not use attr.__name__ here to allow aliases, use whatever it was assigned to found_doc = hasattr(attr, '__doc__') and attr.__doc__ is not None if not found_doc and other_bases: for base in other_bases: if hasattr(base, prop): base_prop = getattr(base, prop) found_doc = hasattr(base_prop, '__doc__') and base_prop.__doc__ is not None if found_doc: attr = base_prop break if found_doc: if type(attr) is property: try: docstring = attr.__doc__ if docstring is None: docstring = attr.fget.__doc__ # docstring = docstring.replace('`units`', obj_to_wrap.units) # Is it a full style string? if 'Returns' in docstring and '-------' in docstring: found_unit = parse_expression_cached(parse_numpydoc_variables_units_docstring(docstring)['Returns']['units'][0], u) else: found_unit = parse_expression_cached(match_parse_units(docstring, i=0), u) except Exception as e: if name[0] == '_': found_unit = u.dimensionless else: print('Failed on attribute %s' %name) raise e property_unit_map[name] = found_unit else: parsed = parse_numpydoc_variables_units(attr, replace) callable_methods[name] = clean_parsed_info(parsed) if 'Attributes' in parsed: property_unit_map.update(parsed['Attributes']) # We need to parse the __doc__ for the main docstring of each of the inherited # objects, but in reverse order so older properties get overwritten by newer # properties. Ignore the object type as well. for inherited in reversed(list(obj_to_wrap.__mro__[0:-1])): parsed = parse_numpydoc_variables_units(inherited, replace) callable_methods['__init__'] = clean_parsed_info(parsed) # if 'All parameters are also attributes' in get_docstring(inherited): # pass if 'Attributes' in parsed: property_unit_map.update({var:parse_expression_cached(make_dimensionless_units(unit), u) for var, unit in zip(parsed['Attributes']['vars'], parsed['Attributes']['units'])} ) if 'Parameters' in parsed: property_unit_map.update({var:parse_expression_cached(make_dimensionless_units(unit), u) for var, unit in zip(parsed['Parameters']['vars'], parsed['Parameters']['units'])} ) name = obj_to_wrap.__name__ classkwargs = {'wrapped': obj_to_wrap, 'property_units': property_unit_map, 'method_units': callable_methods, 'static_methods': static_methods, 'class_methods': class_methods} fun = type(name, (UnitAwareClass,), classkwargs ) for m in static_methods: #def a_static_method(*args, the_method=m, **kwargs): #return fun._another_getattr(the_method)(*args, **kwargs) setattr(fun, m, staticmethod(fun._another_getattr(m))) for m in class_methods: setattr(fun, m, classmethod(fun._another_getattr(m))) return fun def kwargs_to_args(args, kwargs, signature): '''Accepts an *args and **kwargs and a signature like ['rho', 'mu', 'nu'] which is an ordered list of all accepted arguments. Returns a list containing all the arguments, sorted, and left as None if not specified ''' argument_number = len(signature) arg_number = len(args) output = list(args) # Extend the list and initialize as None by default output.extend([None]*(argument_number - arg_number)) for i in range(arg_number, argument_number): if signature[i] in kwargs: output[i] = kwargs[signature[i]] return output __pint_wrapped_functions = {} for name in dir(fluids): if 'RectangularOffsetStripFinExchanger' in name: continue if 'ParticleSizeDistribution' in name: continue if name == '__getattr__' or name == '__test__': continue obj = getattr(fluids, name) if isinstance(obj, types.FunctionType): obj = wraps_numpydoc(u)(obj) elif type(obj) == type: obj = wrap_numpydoc_obj(obj) elif type(obj) is types.ModuleType: # Functions accessed with the namespace like friction.friction_factor # would call the original function - leads to user confusion if they are exposed continue elif isinstance(obj, str): continue if name == '__all__': continue __all__.append(name) __pint_wrapped_functions.update({name: obj}) globals().update(__pint_wrapped_functions) __all__.extend(['wraps_numpydoc', 'convert_output', 'convert_input', 'check_args_order', 'match_parse_units', 'parse_numpydoc_variables_units', 'wrap_numpydoc_obj', 'UnitAwareClass']) def A_multiple_hole_cylinder(Do, L, holes): Do = Do.to(u.m).magnitude L = L.to(u.m).magnitude holes = [(i.to(u.m).magnitude, N) for i, N in holes] A = fluids.geometry.A_multiple_hole_cylinder(Do, L, holes) return A*u.m**2 def V_multiple_hole_cylinder(Do, L, holes): Do = Do.to(u.m).magnitude L = L.to(u.m).magnitude holes = [(i.to(u.m).magnitude, N) for i, N in holes] A = fluids.geometry.V_multiple_hole_cylinder(Do, L, holes) return A*u.m**3 variable_output_unit_funcs = { # True: arg should be present; False: arg should be None 'nu_mu_converter': ({(True, False, True): [u.Pa*u.s], (True, True, False): [u.m**2/u.s], }, 3), 'differential_pressure_meter_solver': ({(True, True, True, True, False, True, True, True): [u.m], (True, True, True, True, True, False, True, True): [u.Pa], (True, True, True, True, True, True, False, True): [u.Pa], (True, True, True, True, True, True, True, False): [u.kg/u.s], }, 8), 'isothermal_gas': ({(True, True, False, True, True, True, True): [u.Pa], (True, True, True, False, True, True, True): [u.Pa], (True, True, True, True, False, True, True): [u.m], (True, True, True, True, True, False, True): [u.m], (True, True, True, True, True, True, False): [u.kg/u.s], }, 7) } simple_compressible_variable_output = ({(True, True, False, True, True, True, True): [u.m], (True, True, True, False, True, True, True): [u.m], (True, True, True, True, False, True, True): [u.Pa], (True, True, True, True, True, False, True): [u.Pa], (True, True, True, True, True, True, False): [u.m**3/u.s], }, 7) for f in ['Panhandle_A', 'Panhandle_B', 'Weymouth', 'Spitzglass_high', 'Spitzglass_low', 'Oliphant', 'Fritzsche']: variable_output_unit_funcs[f] = simple_compressible_variable_output IGT_Muller_variable_output = ({(True, True, True, False, True, True, True, True): [u.m], (True, True, True, True, False, True, True, True): [u.m], (True, True, True, True, True, False, True, True): [u.Pa], (True, True, True, True, True, True, False, True): [u.Pa], (True, True, True, True, True, True, True, False): [u.m**3/u.s], }, 8) for f in ['Muller', 'IGT']: variable_output_unit_funcs[f] = IGT_Muller_variable_output def variable_output_wrapper(func, wrapped_basic_func, output_signatures, input_length): name = func.__name__ intput_signature = in_vars_cache[func] def thing(*args, **kwargs): ans = wrapped_basic_func(*args, **kwargs) args_for_sig = kwargs_to_args(args, kwargs, intput_signature) args_for_sig = [i is not None for i in args_for_sig] if len(args_for_sig) > input_length: # Allow other arguments later to not matter args_for_sig = args_for_sig[:input_length] output_units = output_signatures[tuple(args_for_sig)] if type(ans) in (list, tuple): return [output_units[i]*ans[i] for i in range(len(ans))] return output_units[0]*ans return thing for name, val in variable_output_unit_funcs.items(): globals()[name] = variable_output_wrapper(getattr(fluids, name), __pint_wrapped_functions[name], val[0], val[1])fluids-1.0.22/fluids/flow_meter.pyi0000644000175000017500000001200414302004506016553 0ustar nileshnilesh# DO NOT EDIT - AUTOMATICALLY GENERATED BY tests/make_test_stubs.py! from __future__ import annotations from typing import List from typing import ( Optional, Tuple, Union, ) def C_ISA_1932_nozzle(D: float, Do: float, rho: float, mu: float, m: float) -> float: ... def C_Miller_1996( D: float, Do: float, rho: float, mu: float, m: float, subtype: str = ..., taps: Optional[str] = ..., tap_position: Optional[str] = ... ) -> float: ... def C_Reader_Harris_Gallagher(D: float, Do: float, rho: float, mu: float, m: float, taps: str = ...) -> float: ... def C_Reader_Harris_Gallagher_wet_venturi_tube( mg: float, ml: float, rhog: float, rhol: float, D: float, Do: float, H: float = ... ) -> float: ... def C_eccentric_orifice_ISO_15377_1998(D: float, Do: float) -> float: ... def C_long_radius_nozzle(D: float, Do: float, rho: float, mu: float, m: float) -> float: ... def C_quarter_circle_orifice_ISO_15377_1998(D: float, Do: float) -> float: ... def C_venturi_nozzle(D: float, Do: float) -> float: ... def C_wedge_meter_ISO_5167_6_2017(D: float, H: float) -> float: ... def C_wedge_meter_Miller(D: float, H: float) -> float: ... def K_to_discharge_coefficient(D: float, Do: float, K: float) -> float: ... def cone_meter_expansibility_Stewart(D: float, Dc: float, P1: float, P2: float, k: float) -> float: ... def dP_Reader_Harris_Gallagher_wet_venturi_tube( D: float, Do: float, P1: float, P2: float, ml: float, mg: float, rhol: float, rhog: float, H: float = ... ) -> float: ... def dP_cone_meter(D: float, Dc: float, P1: float, P2: float) -> float: ... def dP_orifice(D: float, Do: float, P1: float, P2: float, C: float) -> float: ... def dP_venturi_tube(D: float, Do: float, P1: float, P2: float) -> float: ... def dP_wedge_meter(D: float, H: float, P1: float, P2: float) -> float: ... def diameter_ratio_cone_meter(D: float, Dc: float) -> float: ... def diameter_ratio_wedge_meter(D: float, H: float) -> float: ... def differential_pressure_meter_C_epsilon( D: float, D2: float, m: float, P1: float, P2: float, rho: float, mu: float, k: float, meter_type: str, taps: Optional[str] = ..., tap_position: Optional[str] = ..., C_specified: Optional[float] = ..., epsilon_specified: Optional[int] = ... ) -> Union[Tuple[float, float], Tuple[float, int]]: ... def differential_pressure_meter_beta(D: float, D2: float, meter_type: str) -> float: ... def differential_pressure_meter_dP( D: float, D2: float, P1: float, P2: float, C: Optional[float] = ..., meter_type: str = ... ) -> float: ... def differential_pressure_meter_solver( D: float, rho: float, mu: float, k: Optional[float] = ..., D2: Optional[float] = ..., P1: Optional[float] = ..., P2: Optional[float] = ..., m: Optional[float] = ..., meter_type: str = ..., taps: Optional[str] = ..., tap_position: Optional[str] = ..., C_specified: Optional[float] = ..., epsilon_specified: Optional[int] = ... ) -> float: ... def discharge_coefficient_to_K(D: float, Do: float, C: float) -> float: ... def err_dp_meter_solver_D2( D2: float, D: float, m: float, P1: float, P2: float, rho: float, mu: float, k: float, meter_type: str, taps: Optional[str], tap_position: Optional[str], C_specified: Optional[float], epsilon_specified: None ) -> float: ... def err_dp_meter_solver_P1( P1: float, D: float, D2: float, m: float, P2: float, rho: float, mu: float, k: float, meter_type: str, taps: Optional[str], tap_position: Optional[str], C_specified: Optional[float], epsilon_specified: None ) -> float: ... def err_dp_meter_solver_P2( P2: float, D: float, D2: float, m: float, P1: float, rho: float, mu: float, k: float, meter_type: str, taps: Optional[str], tap_position: Optional[str], C_specified: Optional[float], epsilon_specified: None ) -> float: ... def err_dp_meter_solver_m( m_D: float, D: float, D2: float, P1: float, P2: float, rho: float, mu: float, k: float, meter_type: str, taps: Optional[str], tap_position: Optional[str], C_specified: Optional[float], epsilon_specified: Optional[int] ) -> float: ... def flow_coefficient(D: float, Do: float, C: float) -> float: ... def flow_meter_discharge( D: float, Do: float, P1: float, P2: float, rho: float, C: float, expansibility: float = ... ) -> float: ... def nozzle_expansibility( D: float, Do: float, P1: float, P2: float, k: float, beta: Optional[float] = ... ) -> float: ... def orifice_expansibility(D: float, Do: float, P1: float, P2: float, k: float) -> float: ... def orifice_expansibility_1989(D: float, Do: float, P1: float, P2: float, k: float) -> float: ... def velocity_of_approach_factor(D: float, Do: float) -> float: ... __all__: List[str]fluids-1.0.22/fluids/design_climate.py0000644000175000017500000011000514302004506017206 0ustar nileshnilesh# -*- coding: utf-8 -*- """Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2016, 2017 Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. """ from __future__ import division __all__ = ['get_clean_isd_history', 'IntegratedSurfaceDatabaseStation', 'get_closest_station', 'get_station_year_text', 'gsod_day_parser', 'StationDataGSOD', 'heating_degree_days', 'cooling_degree_days', 'stations', # 'geopy_geolocator', 'geopy_cache', 'SimpleGeolocatorCache', 'geocode'] try: # pragma: no cover from cStringIO import StringIO except: # pragma: no cover from io import BytesIO as StringIO from io import open import os import gzip import datetime from calendar import isleap from collections import namedtuple import numpy as np from fluids.core import F2K from fluids.constants import mile, knot, inch from scipy.spatial import cKDTree from scipy.stats import scoreatpercentile try: # pragma: no cover from urllib.request import urlopen from urllib.error import HTTPError except ImportError: # pragma: no cover from urllib2 import urlopen from urllib2 import HTTPError try: # pragma: no cover from appdirs import user_data_dir, user_config_dir data_dir = user_config_dir('fluids') except ImportError: # pragma: no cover data_dir = '' try: # pragma: no cover import geopy from geopy.location import Location # No point loading cPickle or sqlite for this reason import sqlite3 except ImportError: # pragma: no cover geopy = None Location = None try: # pragma: no cover # python 3 compat import cPickle as pickle except: # pragma: no cover import pickle # Geopy cache/lookup layer, also requires appdirs for caching, can work without geolocator = None geolocator_user_agent = 'fluids' geolocator_disk_cache_name = 'simple_geolocator_cache.sqlite3' geolocator_disk_cache_loc = os.path.join(data_dir, geolocator_disk_cache_name) simple_geopy_cache = None geopy_missing_msg = '''Geocoder module `geopy` is required for this functionality.''' def geopy_geolocator(): """Lazy loader for geocoder from geopy. This currently loads the `Nominatim` geocode and returns an instance of it, taking ~2 us. """ global geolocator if geolocator is None: try: from geopy.geocoders import Nominatim except ImportError: return None geolocator = Nominatim(user_agent=geolocator_user_agent) return geolocator return geolocator def geopy_cache(): """Lazy loader for the singleton `SimpleGeolocatorCache`. This creates a sqlite database if one does not exist and initializes a connection to it. """ global simple_geopy_cache if simple_geopy_cache is None: simple_geopy_cache = SimpleGeolocatorCache(geolocator_disk_cache_loc) return simple_geopy_cache return simple_geopy_cache class SimpleGeolocatorCache(object): """Very basic on-disk address -> (lat, lon) cache, using Python's sqlite database for on-disk persistence. Offers very reasonable performance compared to online lookups. """ def __init__(self, file_name): self.connection = conn = sqlite3.connect(file_name) cursor = self.connection.cursor() cursor.execute('CREATE TABLE IF NOT EXISTS geopy ( ' 'address STRING PRIMARY KEY, latitude real, longitude real )') self.connection.commit() def cached_address(self, address): cursor = self.connection.cursor() cursor.execute('SELECT latitude, longitude FROM geopy WHERE address=?', (address, )) res = cursor.fetchone() if res is None: return None return res def cache_address(self, address, latitude, longitude): cursor = self.connection.cursor() cursor.execute('INSERT INTO geopy(address, latitude, longitude) VALUES(?, ?, ?)', (address, latitude, longitude)) self.connection.commit() def geocode(address): """Query function to obtain a latitude and longitude from a location string such as `Houston, TX` or`Colombia`. This uses an online lookup, currently wrapping the `geopy` library, and providing an on-disk cache of queries. Parameters ---------- address : str Search string to retrieve the location, [-] Returns ------- latitude : float Latitude of address, [degrees] longitude : float Longitude of address, [degrees] Notes ----- If a query has been retrieved before, this function will take under 1 ms; it takes several seconds otherwise. Examples -------- >>> geocode('Fredericton, NB') # doctest: +SKIP (45.966425, -66.645813) """ loc_tuple = None try: cache = geopy_cache() loc_tuple = cache.cached_address(address) except: # Handle bugs in the cache, i.e. if there is no space on disk to create # the database, by ignoring them pass if loc_tuple is not None: return loc_tuple else: geocoder = geopy_geolocator() if geocoder is None: return geopy_missing_msg location = geocoder.geocode(address) try: cache.cache_address(address, location.latitude, location.longitude) except: pass return (location.latitude, location.longitude) folder = os.path.join(os.path.dirname(__file__), 'data') def heating_degree_days(T, T_base=291.4833333333333, truncate=True): r'''Calculates the heating degree days for a period of time. .. math:: \text{heating degree days} = max(T - T_{base}, 0) Parameters ---------- T : float Measured temperature; sometimes an average over a length of time is used, other times the average of the lowest and highest temperature in a period are used, [K] T_base : float, optional Reference temperature for the degree day calculation, defaults to 65 °F (18.33 °C, 291.483 K), the value most used in the US, [K] truncate : bool If truncate is True, no negative values will be returned; if negative, the value is truncated to 0, [-] Returns ------- heating_degree_days : float Degree above the base temperature multiplied by the length of time of the measurement, normally days [day*K] Notes ----- Some common base temperatures are 18 °C (Canada), 15.5 °C (EU), 17 °C (Denmark, Finland), 12 °C Switzerland. The base temperature should always be presented with the results. The time unit does not have to be days; it can be any time unit, and the calculation behaves the same. Examples -------- >>> heating_degree_days(303.8) 12.31666666666672 >>> heating_degree_days(273) 0.0 >>> heating_degree_days(322, T_base=300) 22 References ---------- .. [1] "Heating Degree Day." Wikipedia, January 24, 2018. https://en.wikipedia.org/w/index.php?title=Heating_degree_day&oldid=822187764. ''' dd = T - T_base if truncate and dd < 0.0: dd = 0.0 return dd def cooling_degree_days(T, T_base=283.15, truncate=True): r'''Calculates the cooling degree days for a period of time. .. math:: \text{cooling degree days} = max(T_{base} - T, 0) Parameters ---------- T : float Measured temperature; sometimes an average over a length of time is used, other times the average of the lowest and highest temperature in a period are used, [K] T_base : float, optional Reference temperature for the degree day calculation, defaults to 10 °C, 283.15 K, a common value, [K] truncate : bool If truncate is True, no negative values will be returned; if negative, the value is truncated to 0, [-] Returns ------- cooling_degree_days : float Degree below the base temperature multiplied by the length of time of the measurement, normally days [day*K] Notes ----- The base temperature should always be presented with the results. The time unit does not have to be days; it can be time unit, and the calculation behaves the same. Examples -------- >>> cooling_degree_days(250) 33.14999999999998 >>> cooling_degree_days(300) 0.0 >>> cooling_degree_days(250, T_base=300) 50 References ---------- .. [1] "Heating Degree Day." Wikipedia, January 24, 2018. https://en.wikipedia.org/w/index.php?title=Heating_degree_day&oldid=822187764. ''' dd = T_base - T if truncate and dd < 0.0: dd = 0.0 return dd def get_clean_isd_history(dest=os.path.join(folder, 'isd-history-cleaned.tsv'), url="ftp://ftp.ncdc.noaa.gov/pub/data/noaa/isd-history.csv"): # pragma: no cover """Basic method to update the isd-history file from the NOAA. This is useful as new weather stations are updated all the time. This function requires pandas to run. If fluids is installed for the superuser, this method must be called in an instance of Python running as the superuser (administrator). Retrieving the file from ftp typically takes several seconds. Pandas reads the file in ~30 ms and writes it in ~220 ms. Reading it with the code below takes ~220 ms but is necessary to prevent a pandas dependency. Parameters ---------- dest : str, optional The file to store the data retrieved; leave as the default argument for it to be accessible by fluids. url : str, optional The location of the data file; this can be anywhere that can be read by pandas, including a local file as would be useful in an offline situation. """ import pandas as pd df = pd.read_csv(url, dtype={'USAF': str, 'WBAN': str}) df.to_csv(dest, sep='\t', index=False, header=False) class IntegratedSurfaceDatabaseStation(object): """Class to hold data on a weather station in the Integrated Surface Database. License information for the database can be found at the following link: https://data.noaa.gov/dataset/global-surface-summary-of-the-day-gsod Note: Of the 28000 + stations in the database, approximately 3000 have WBAN identifiers; 26000 have unique names; 24000 have USAF identifiers; and there are only 25800 unique lat/lon pairs. To uniquely represent a weather station, a combination of identifiers must be used. (Name, USAF, WBAN) makes a good choice. Parameters ---------- USAF : str or None if unassigned Air Force station ID. May contain a letter in the first position. WBAN : str or None if unassigned NCDC WBAN number NAME : str Name of the station; ex. 'CENTRAL COLORADO REGIONAL AP' CTRY : str or None if unspecified FIPS country ID ST : str or None if not in the US State for US stations ICAO : str or None if not an airport ICAO airport code LAT : float Latitude with a precision of one thousandths of a decimal degree, [degrees] LON : float Longitude with a precision of one thousandths of a decimal degree, [degrees] ELEV : float Elevation of weather station, [m] BEGIN : float Beginning Period Of Record (YYYYMMDD). There may be reporting gaps within the P.O.R. END : Ending Period Of Record (YYYYMMDD). There may be reporting gaps within the P.O.R. """ __slots__ = ['USAF', 'WBAN', 'NAME', 'CTRY', 'ST', 'ICAO', 'LAT', 'LON', 'ELEV', 'BEGIN', 'END', 'raw_data', 'parsed_data'] def __repr__(self): s = ('' ) return s%(self.NAME, self.CTRY, self.USAF, self.WBAN, self.LAT, self.LON, str(self.BEGIN)[0:4], str(self.END)[0:4]) def __init__(self, USAF, WBAN, NAME, CTRY, ST, ICAO, LAT, LON, ELEV, BEGIN, END): try: self.USAF = int(USAF) except: self.USAF = USAF # Nones self.WBAN = WBAN self.NAME = NAME self.CTRY = CTRY self.ST = ST self.ICAO = ICAO self.LAT = LAT self.LON = LON self.ELEV = ELEV self.BEGIN = int(BEGIN) self.END = int(END) class StationDataGSOD(object): # Holds data, caches and retrieves data def __init__(self, station, data_dir_override=None): self.data_dir_override = data_dir_override self.station = station self.begin = datetime.datetime.strptime(str(self.station.BEGIN), '%Y%m%d') self.end = datetime.datetime.strptime(str(self.station.END), '%Y%m%d') self.year_range = range(self.begin.year, self.end.year + 1) # Would be nice to create these later, when using a download_data method self.raw_text = {} self.raw_data = {} self.parsed_data = {} self.load_empty_vectors() self.download_data() self.parse_data() def load_empty_vectors(self): for year in self.year_range: days_in_year = 366 if isleap(year) else 365 self.raw_data[year] = [None]*days_in_year self.parsed_data[year] = [None]*days_in_year self.raw_text[year] = None # days = [None]*days_in_year(y) def download_data(self): for year in self.year_range: if self.raw_text[year] is None: try: year_data = get_station_year_text(self.station.USAF, self.station.WBAN, year, data_dir_override=self.data_dir_override) self.raw_text[year] = year_data except: pass def parse_data(self): for year, data in self.raw_text.items(): if data is not None: days = self.parsed_data[year] for line in data.split('\n')[1:-1]: parsed = gsod_day_parser(line) doy = parsed.DATE.timetuple().tm_yday-1 days[doy] = parsed def coldest_month(self, older_year=None, newer_year=None, minimum_days=23): # Tested month_data = self.month_average_temperature(older_year=older_year, newer_year=newer_year, minimum_days=minimum_days) return month_data.index(min(month_data)) def warmest_month(self, older_year=None, newer_year=None, minimum_days=23): # Tested month_data = self.month_average_temperature(older_year=older_year, newer_year=newer_year, minimum_days=minimum_days) return month_data.index(max(month_data)) def month_average_temperature(self, older_year=None, newer_year=None, include_yearly=False, minimum_days=23): ''' >> station = get_closest_station(38.8572, -77.0369) >> station_data = StationDataGSOD(station) >> station_data.month_average_temperature(1990, 2000, include_yearly=False) [276.1599380905833, 277.5375516246206, 281.1881231671554, 286.7367003367004, 291.8689638318671, 296.79545454545456, 299.51868686868687, 298.2097914630174, 294.4116161616162, 288.25883023786247, 282.3188552188553, 277.8282339524275] ''' # Take years, make them inclusive; add minimum valid days. year_month_averages = {} year_month_counts = {} for year, data in self.parsed_data.items(): if not (older_year <= year <= newer_year): continue # Ignore out-of-range years easily year_month_averages[year] = [0.0]*12 year_month_counts[year] = [0]*12 for i, day in enumerate(data): if day is None: continue # Don't do these comparisons to make it fast if day.DATE.year < older_year or day.DATE.year > newer_year: continue # Ignore out-of-range days as possible T = day.TEMP if T is None: continue # Cache these lookups year_month_averages[year][day.DATE.month-1] += T year_month_counts[year][day.DATE.month-1] += 1 for month in range(12): count = year_month_counts[year][month] if count < minimum_days: ans = None else: ans = year_month_averages[year][month]/count year_month_averages[year][month] = ans # Compute the average of the month actual_averages = [0.0]*12 actual_averages_counts = [0]*12 for year, average in year_month_averages.items(): for month in range(12): if average is not None and average[month] is not None: count = actual_averages_counts[month] if count is None: count = 1 else: count += 1 actual_averages_counts[month] = count month_average_sum = actual_averages[month] if month_average_sum is None: month_average_sum = average[month] else: month_average_sum += average[month] actual_averages[month] = month_average_sum for month in range(12): actual_averages[month] = actual_averages[month]/actual_averages_counts[month] # Don't set anything as properties - too many variables used in calculating thems # Speed is not that important. if include_yearly: return actual_averages, year_month_averages else: return actual_averages # Copy and paste def month_average_windspeed(self, older_year=None, newer_year=None, include_yearly=False, minimum_days=23): # Take years, make them inclusive; add minimum valid days. year_month_averages = {} year_month_counts = {} for year, data in self.parsed_data.items(): if not (older_year <= year <= newer_year): continue # Ignore out-of-range years easily year_month_averages[year] = [0.0]*12 year_month_counts[year] = [0]*12 for i, day in enumerate(data): if day is None: continue # Don't do these comparisons to make it fast if day.DATE.year < older_year or day.DATE.year > newer_year: continue # Ignore out-of-range days as possible wind_speed = day.WDSP if wind_speed is None: continue # Cache these lookups year_month_averages[year][day.DATE.month-1] += wind_speed year_month_counts[year][day.DATE.month-1] += 1 for month in range(12): count = year_month_counts[year][month] if count < minimum_days: ans = None else: ans = year_month_averages[year][month]/count year_month_averages[year][month] = ans # Compute the average of the month actual_averages = [0.0]*12 actual_averages_counts = [0]*12 for year, average in year_month_averages.items(): for month in range(12): if average is not None and average[month] is not None: count = actual_averages_counts[month] if count is None: count = 1 else: count += 1 actual_averages_counts[month] = count month_average_sum = actual_averages[month] if month_average_sum is None: month_average_sum = average[month] else: month_average_sum += average[month] actual_averages[month] = month_average_sum for month in range(12): actual_averages[month] = actual_averages[month]/actual_averages_counts[month] # Don't set anything as properties - too many variables used in calculating thems # Speed is not that important. if include_yearly: return actual_averages, year_month_averages else: return actual_averages def percentile_extreme_condition(self, older_year=None, newer_year=None, include_yearly=False, minimum_days=23, attr='WDSP'): # Really need to normalize data with interpolation etc here. # Need to get the data, and process it and score interpolation regimes. # Or could just randomly drop data and try to fill it in. accepted_values = [] for year, data in self.parsed_data.items(): if not (older_year <= year <= newer_year): continue # Ignore out-of-range years easily stations = [] _latlongs = [] '''Read in the parsed data into 1) a list of latitudes and longitudes, temporary, which will get converted to a numpy array for use in KDTree 2) a list of IntegratedSurfaceDatabaseStation objects; the query will return the index of the nearest weather stations. ''' with open(os.path.join(folder, 'isd-history-cleaned.tsv'), encoding='utf-8') as f: for line in f: values = line.split('\t') for i in range(0, 11): # First two are not values v = values[i] if v == '': values[i] = None # '' case else: try: if i > 2: values[i] = float(v) if int(v) == 99999: values[i] = None except: continue lat, lon = values[6], values[7] if lat and lon: # Some stations have no lat-long; this isn't useful stations.append(IntegratedSurfaceDatabaseStation(*values)) _latlongs.append((lat, lon)) _latlongs = np.array(_latlongs) station_count = len(stations) kd_tree = cKDTree(_latlongs) # _latlongs must be unchanged as data is not copied def get_closest_station(latitude, longitude, minumum_recent_data=20140000, match_max=100): """Query function to find the nearest weather station to a particular set of coordinates. Optionally allows for a recent date by which the station is required to be still active at. Parameters ---------- latitude : float Latitude to search for nearby weather stations at, [degrees] longitude : float Longitude to search for nearby weather stations at, [degrees] minumum_recent_data : int, optional Date that the weather station is required to have more recent weather data than; format YYYYMMDD; set this to 0 to not restrict data by date. match_max : int, optional The maximum number of results in the KDTree to search for before applying the filtering criteria; an internal parameter which is increased automatically if the default value is insufficient [-] Returns ------- station : IntegratedSurfaceDatabaseStation Instance of IntegratedSurfaceDatabaseStation which was nearest to the requested coordinates and with sufficiently recent data available [-] Notes ----- Searching for 100 stations is a reasonable choice as it takes, ~70 microseconds vs 50 microsecond to find only 1 station. The search does get slower as more points are requested. Bad data is returned from a KDTree search if more points are requested than are available. Examples -------- >>> get_closest_station(51.02532675, -114.049868485806, 20150000) """ # Both station strings may be important # Searching for 100 stations is fine, 70 microseconds vs 50 microsecond for 1 # but there's little point for more points, it gets slower. # bad data is returned if k > station_count distances, indexes = kd_tree.query([latitude, longitude], k=min(match_max, station_count)) # for i in indexes: latlon = _latlongs[i] enddate = stations[i].END # Iterate for all indexes until one is found whose date is current if enddate > minumum_recent_data: return stations[i] if match_max < station_count: return get_closest_station(latitude, longitude, minumum_recent_data=minumum_recent_data, match_max=match_max*10) raise ValueError('Could not find a station with more recent data than ' 'specified near the specified coordinates.') # This should be aggressively cached def get_station_year_text(WMO, WBAN, year, data_dir_override=None): """Basic method to download data from the GSOD database, given a station identifier and year. Parameters ---------- WMO : int or None World Meteorological Organization (WMO) identifiers, [-] WBAN : int or None Weather Bureau Army Navy (WBAN) weather station identifier, [-] year : int Year data should be retrieved from, [year] data_dir_override : str, optional Directory to store the downloaded data (instead of the configuration directory), [-] Returns ------- data : str Downloaded data file """ if WMO is None: WMO = 999999 if WBAN is None: WBAN = 99999 station = str(int(WMO)) + '-' + str(WBAN) if data_dir_override is None: gsod_year_dir = os.path.join(data_dir, 'gsod', str(year)) else: gsod_year_dir = os.path.join(data_dir_override, str(year)) path = os.path.join(gsod_year_dir, station + '.op') if os.path.exists(path): with open(path, 'r') as f: data = f.read() if data and data != 'Exception': return data else: # Remove the bad file and try to redownload it try: os.remove(path) except: pass # raise ValueError(data) toget = ('ftp://ftp.ncdc.noaa.gov/pub/data/gsod/' + str(year) + '/' + station + '-' + str(year) +'.op.gz') try: data = urlopen(toget, timeout=5) except Exception as e: if not os.path.exists(gsod_year_dir): os.makedirs(gsod_year_dir) with open(path, 'w') as f: f.write('Exception') raise ValueError('Could not obtain desired data; check ' 'if the year has data published for the ' 'specified station and the station was specified ' 'in the correct form. The full error is %s' %(e)) data = data.read() data_thing = StringIO(data) f = gzip.GzipFile(fileobj=data_thing, mode="r") year_station_data = f.read() try: year_station_data = year_station_data.decode('utf-8') except: pass # Cache the data for future use if not os.path.exists(gsod_year_dir): os.makedirs(gsod_year_dir) open(path, 'w').write(year_station_data) return year_station_data gsod_fields = ['DATE', # 15-18 int year; 19-22 int month/day 'TEMP', # 25-30 Real Mean temperature for the day in degrees Fahrenheit to tenths. Missing = 9999.9 'TEMP_COUNT', # 32-33 Int. Number of observations used in calculating mean temperature 'DEWP', # 36-41 Real Mean dew point for the day in degrees Fahrenheit to tenths. Missing = 9999.9 'DEWP_COUNT', # 43-44 Int. Number of observations used in calculating mean dew point 'SLP', # 47-52 Real Mean sea level pressure for the day in millibars to tenths. Missing = 9999.9 'SLP_COUNT', # 54-55 Int. Number of observations used in calculating mean sea level pressure 'STP', # 58-63 Real Mean station pressure for the day in millibars to tenths. Missing = 9999.9 'STP_COUNT', # 65-66 Int. Number of observations used in calculating mean station pressure 'VISIB', # 69-73 Real Mean visibility for the day in miles to tenths. Missing = 999.9 'VISIB_COUNT', # 75-76 Int. Number of observations used in calculating mean visibility 'WDSP', # 79-83 Real Mean wind speed for the day in knots to tenths. Missing = 999.9 'WDSP_COUNT', # 85-86 Int. Number of observations used in calculating mean wind speed 'MXSPD', # 89-93 Real Maximum sustained wind speed reported for the day in knots to tenths. Missing = 999.9 'GUST', # 96-100 Real Maximum wind gust reported for the day in knots to tenths. Missing = 999.9 'MAX', # 103-108 Real Maximum temperature reported during the # day in Fahrenheit to tenths--time of max temp report varies by country and # region, so this will sometimes not be the max for the calendar day. # Missing = 9999.9; FLAG of '*' is present on 109-109! 'MIN', # 111-116 Real Minimum temperature reported during the day in Fahrenheit to tenths--time of min # temp report varies by country and region, so this will sometimes not be # the min for the calendar day. Missing = 9999.9 FLAG of '*' is present on 117-117! 'PRCP', # 119-123 Real Total precipitation (rain and/or melted snow) reported during the day in inches # and hundredths; will usually not end with the midnight observation--i.e., # may include latter part of previous day. .00 indicates no measurable # precipitation (includes a trace). # Missing = 99.99 'SNDP', # 126-130 Real Snow depth in inches to tenths--last report for the day if reported more than # once. Missing = 999.9 Note: Most stations do not report '0' on days with no snow on the # ground--therefore, '999.9' will often appear on these days. 'FRSHTT' # 133-138 Int. Indicators (1 = yes, 0 = no/not reported) for the occurrence during the day of: # Fog ('F' - 1st digit). # Rain or Drizzle ('R' - 2nd digit). # Snow or Ice Pellets ('S' - 3rd digit). # Hail ('H' - 4th digit). # Thunder ('T' - 5th digit). # Tornado or Funnel Cloud ('T' - 6th digit). ] # Use TEMP and DEWP and STP to calculate wet bulb temperatures # Values to be converted to floats always gsod_float_fields = ('TEMP', 'DEWP', 'SLP', 'STP', 'VISIB', 'WDSP', 'MXSPD', 'GUST', 'MAX', 'MIN', 'PRCP', 'SNDP') # Values to be converted to ints always gsod_int_fields = ('TEMP_COUNT', 'DEWP_COUNT', 'SLP_COUNT', 'STP_COUNT', 'VISIB_COUNT', 'WDSP_COUNT') # Values which signify flags gsod_flag_chars = '*ABCDEFGHI' # Values which should be converted to None, as normally there is no value gsod_bad_values = frozenset(['99.99', '999.9', '9999.9']) gsod_indicator_names = ['fog', 'rain', 'snow_ice', 'hail', 'thunder', 'tornado'] five_ninths = 5.0/9.0 gsod_day = namedtuple('gsod_day', gsod_fields + gsod_indicator_names) def gsod_day_parser(line, SI=True, to_datetime=True): """One line (one file) parser of data in the format of the GSOD database. Returns all parsed results as a namedtuple for reduced memory consumption. Will convert all data to base SI units unless the `SI` flag is set to False. As the values are rounded to one or two decimal places in the GSOD database in Imperial units, it may be useful to look at the values directly. The names columns of the columns in the GSOD database are retained and used as the attributes of the namedtuple results. The day, month, and year are normally converted to a datetime instance in resulting namedtuple; this behavior can be disabled by setting the `datetime` flag to False; it will be a string in the format YYYYMMDD if so. This may be useful because datetime conversion roughly doubles the speed of this function. Parameters ---------- line : str Line in format of GSOD documentation, [-] SI : bool Whether or not the results get converted to base SI units, [-] to_datetime : bool Whether or not the date gets converted to a datetime instance or stays as a string, [-] Returns ------- gsod_day_instance : gsod_day namedtuple with fields described in the source (all values in SI units, if `SI` is True, i.e. meters, m/s, Kelvin, Pascal; otherwise the original unit set is used), [-] """ # Ignore STN--- and WBAN, 8-12 characters fields = line.strip().split()[2:] # For the case the field is blank, set it to None; strip it either way for i in range(len(fields)): field = fields[i].rstrip() if not field: field = None fields[i] = field obj = dict(zip(gsod_fields, fields)) # Convert the date to a datetime object if specified if to_datetime and obj['DATE'] is not None: date = obj['DATE'] obj['DATE'] = datetime.datetime(int(date[0:4]), int(date[4:6]), int(date[6:])) #obj['DATE'] = datetime.datetime.strptime(obj['DATE'], '%Y%m%d') # Parse float values as floats for field in gsod_float_fields: value = obj[field].rstrip(gsod_flag_chars) if value in gsod_bad_values: value = None else: value = float(value) obj[field] = value if SI: # All temperatures are in deg F for field in ('TEMP', 'DEWP', 'MAX', 'MIN'): value = obj[field] if value is not None: # F2K inline for efficiency unfortunately obj[field] = (value + 459.67)*five_ninths # Convert visibility, wind speed, pressures # to si units of meters, Pascal, and meters/second. if obj['VISIB'] is not None: obj['VISIB'] = obj['VISIB']*mile if obj['PRCP'] is not None: obj['PRCP'] = obj['PRCP']*inch if obj['SNDP'] is not None: obj['SNDP'] = obj['SNDP']*inch if obj['WDSP'] is not None: obj['WDSP'] = obj['WDSP']*knot if obj['MXSPD'] is not None: obj['MXSPD'] = obj['MXSPD']*knot if obj['GUST'] is not None: obj['GUST'] = obj['GUST']*knot if obj['SLP'] is not None: obj['SLP'] = obj['SLP']*100.0 if obj['STP'] is not None: obj['STP'] = obj['STP']*100.0 # Parse int values as ints for field in gsod_int_fields: value = obj[field] if value is not None: obj[field] = int(value) indicator_values = [flag == '1' for flag in obj['FRSHTT']] obj.update(zip(gsod_indicator_names, indicator_values)) return gsod_day(**obj) fluids-1.0.22/fluids/particle_size_distribution.pyi0000644000175000017500000001100114302004506022040 0ustar nileshnilesh# DO NOT EDIT - AUTOMATICALLY GENERATED BY tests/make_test_stubs.py! from __future__ import annotations from typing import List from numpy import ( float64, ndarray, ) from typing import ( List, Optional, Union, ) def cdf_Gates_Gaudin_Schuhman(d: float, d_characteristic: float, m: float) -> float: ... def cdf_Rosin_Rammler(d: float, k: float, m: float) -> float: ... def cdf_lognormal(d: float, d_characteristic: float, s: float) -> float: ... def pdf_Gates_Gaudin_Schuhman(d: float, d_characteristic: float, m: float) -> float: ... def pdf_Gates_Gaudin_Schuhman_basis_integral(d: float, d_characteristic: float, m: float, n: int) -> float: ... def pdf_Rosin_Rammler(d: float, k: float, m: float) -> float: ... def pdf_Rosin_Rammler_basis_integral(d: float, k: float, m: float, n: int) -> float: ... def pdf_lognormal(d: float, d_characteristic: float, s: float) -> float: ... def pdf_lognormal_basis_integral(d: float, d_characteristic: float, s: float, n: float) -> float: ... def psd_spacing( d_min: Optional[float] = ..., d_max: Optional[float] = ..., pts: int = ..., method: str = ... ) -> List[float]: ... class PSDInterpolated: def __init__( self, ds: Union[List[float], ndarray, List[float64]], fractions: Union[List[float], List[float64]], order: int = ..., monotonic: bool = ... ) -> None: ... def _cdf(self, d: Union[int, float64, float]) -> float: ... def _pdf(self, d: float) -> float: ... def _pdf_basis_integral(self, d: Union[float64, float], n: int) -> float: ... class PSDLognormal: def __init__( self, d_characteristic: float, s: float, order: int = ..., d_min: Optional[float] = ..., d_max: Optional[float] = ... ) -> None: ... def _cdf(self, d: float) -> float: ... def _pdf(self, d: float) -> float: ... def _pdf_basis_integral(self, d: float, n: float) -> float: ... class ParticleSizeDistribution: @property def Dis(self) -> Union[List[float], List[float64]]: ... def __init__( self, ds: Union[List[float], List[float], ndarray], fractions: Union[List[float], List[int]], cdf: bool = ..., order: int = ..., monotonic: bool = ... ) -> None: ... def _cdf(self, d: Union[int, float64, float]) -> float: ... def _pdf(self, d: float) -> float: ... def _pdf_basis_integral(self, d: Union[float64, float], n: int) -> float: ... def di_power(self, i: int, power: int = ...) -> Union[float64, float]: ... @property def interpolated(self) -> PSDInterpolated: ... def mean_size(self, p: int, q: int) -> Union[float64, float]: ... @property def vssa(self) -> float: ... class ParticleSizeDistributionContinuous: def _pdf_basis_integral_definite( self, d_min: Union[float64, float], d_max: Union[float64, float], n: float ) -> float: ... def cdf(self, d: Union[int, float64, float], n: Optional[int] = ...) -> float: ... def cdf_discrete(self, ds: Union[List[float], ndarray], n: None = ...) -> List[float]: ... def dn(self, fraction: Union[int, float64, float], n: None = ...) -> Union[float64, float]: ... def ds_discrete( self, d_min: Optional[float] = ..., d_max: Optional[float] = ..., pts: int = ..., limit: float = ..., method: str = ... ) -> List[float]: ... def fractions_discrete(self, ds: Union[List[float], ndarray], n: None = ...) -> List[float]: ... def mean_size(self, p: float, q: float) -> float: ... def mean_size_ISO(self, k: int, r: int) -> float: ... def pdf(self, d: float, n: Optional[int] = ...) -> float: ... @property def vssa(self) -> float: ... class Sieve: def __init__( self, designation: str, old_designation: Optional[str] = ..., opening: Optional[float] = ..., opening_inch: Optional[float] = ..., Y_variation_avg: Optional[float] = ..., X_variation_max: Optional[float] = ..., max_opening: Optional[float] = ..., compliance_samples: Optional[float] = ..., compliance_sd: Optional[float] = ..., inspection_samples: Optional[float] = ..., inspection_sd: Optional[float] = ..., calibration_samples: Optional[float] = ..., calibration_sd: Optional[float] = ..., d_wire: Optional[float] = ..., d_wire_min: Optional[float] = ..., d_wire_max: Optional[float] = ... ) -> None: ... __all__: List[str]fluids-1.0.22/fluids/two_phase.py0000644000175000017500000032410314302004506016236 0ustar nileshnilesh# -*- coding: utf-8 -*- """Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2016, Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. This module contains functions for calculating two-phase pressure drop. It also contains correlations for flow regime. For reporting bugs, adding feature requests, or submitting pull requests, please use the `GitHub issue tracker `_ or contact the author at Caleb.Andrew.Bell@gmail.com. .. contents:: :local: Interfaces ---------- .. autofunction:: two_phase_dP .. autofunction:: two_phase_dP_methods .. autofunction:: two_phase_dP_acceleration .. autofunction:: two_phase_dP_gravitational .. autofunction:: two_phase_dP_dz_acceleration .. autofunction:: two_phase_dP_dz_gravitational Two Phase Pressure Drop Correlations ------------------------------------ .. autofunction:: Beggs_Brill .. autofunction:: Lockhart_Martinelli .. autofunction:: Friedel .. autofunction:: Chisholm .. autofunction:: Kim_Mudawar .. autofunction:: Baroczy_Chisholm .. autofunction:: Theissing .. autofunction:: Muller_Steinhagen_Heck .. autofunction:: Gronnerud .. autofunction:: Lombardi_Pedrocchi .. autofunction:: Jung_Radermacher .. autofunction:: Tran .. autofunction:: Chen_Friedel .. autofunction:: Zhang_Webb .. autofunction:: Xu_Fang .. autofunction:: Yu_France .. autofunction:: Wang_Chiang_Lu .. autofunction:: Hwang_Kim .. autofunction:: Zhang_Hibiki_Mishima .. autofunction:: Mishima_Hibiki .. autofunction:: Bankoff Two Phase Flow Regime Correlations ---------------------------------- .. autofunction:: Mandhane_Gregory_Aziz_regime .. autofunction:: Taitel_Dukler_regime """ from __future__ import division __all__ = ['two_phase_dP', 'two_phase_dP_methods', 'two_phase_dP_acceleration', 'two_phase_dP_dz_acceleration', 'two_phase_dP_gravitational', 'two_phase_dP_dz_gravitational', 'Beggs_Brill', 'Lockhart_Martinelli', 'Friedel', 'Chisholm', 'Kim_Mudawar', 'Baroczy_Chisholm', 'Theissing', 'Muller_Steinhagen_Heck', 'Gronnerud', 'Lombardi_Pedrocchi', 'Jung_Radermacher', 'Tran', 'Chen_Friedel', 'Zhang_Webb', 'Xu_Fang', 'Yu_France', 'Wang_Chiang_Lu', 'Hwang_Kim', 'Zhang_Hibiki_Mishima', 'Mishima_Hibiki', 'Bankoff', 'Mandhane_Gregory_Aziz_regime', 'Taitel_Dukler_regime'] from math import pi, log, exp, sin, cos, radians, log10, sqrt from fluids.constants import g, deg2rad from fluids.numerics import splev, implementation_optimize_tck from fluids.friction import friction_factor from fluids.core import Reynolds, Froude, Weber, Confinement, Bond, Suratman from fluids.two_phase_voidage import homogeneous, Lockhart_Martinelli_Xtt Beggs_Brill_dat = {'segregated': (0.98, 0.4846, 0.0868), 'intermittent': (0.845, 0.5351, 0.0173), 'distributed': (1.065, 0.5824, 0.0609)} def _Beggs_Brill_holdup(regime, lambda_L, Fr, angle, LV): if regime == 0: a, b, c = 0.98, 0.4846, 0.0868 elif regime == 2: a, b, c = 0.845, 0.5351, 0.0173 elif regime == 3: a, b, c = 1.065, 0.5824, 0.0609 HL0 = a*lambda_L**b*Fr**-c if HL0 < lambda_L: HL0 = lambda_L if angle > 0.0: # uphill # h used instead of g to avoid conflict with gravitational constant if regime == 0: d, e, f, h = 0.011, -3.768, 3.539, -1.614 elif regime == 2: d, e, f, h = 2.96, 0.305, -0.4473, 0.0978 elif regime == 3: # Dummy values for distributed - > psi = 1. d, e, f, h = 2.96, 0.305, -0.4473, 0.0978 elif angle <= 0: # downhill d, e, f, h = 4.70, -0.3692, 0.1244, -0.5056 C = (1.0 - lambda_L)*log(d*lambda_L**e*LV**f*Fr**h) if C < 0.0: C = 0.0 # Correction factor for inclination angle Psi = 1.0 + C*(sin(1.8*angle) - 1.0/3.0*sin(1.8*angle)**3) if (angle > 0 and regime == 3) or angle == 0: Psi = 1.0 Hl = HL0*Psi return Hl def Beggs_Brill(m, x, rhol, rhog, mul, mug, sigma, P, D, angle, roughness=0.0, L=1.0, g=g, acceleration=True): r'''Calculates the two-phase pressure drop according to the Beggs-Brill correlation ([1]_, [2]_, [3]_). Parameters ---------- m : float Mass flow rate of fluid, [kg/s] x : float Mass quality of fluid, [-] rhol : float Liquid density, [kg/m^3] rhog : float Gas density, [kg/m^3] mul : float Viscosity of liquid, [Pa*s] mug : float Viscosity of gas, [Pa*s] sigma : float Surface tension, [N/m] P : float Pressure of fluid (used only if `acceleration=True`), [Pa] D : float Diameter of pipe, [m] angle : float The angle of the pipe with respect to the horizontal, [degrees] roughness : float, optional Roughness of pipe for use in calculating friction factor, [m] L : float, optional Length of pipe, [m] g : float, optional Acceleration due to gravity, [m/s^2] acceleration : bool Whether or not to include the original acceleration component, [-] Returns ------- dP : float Pressure drop of the two-phase flow, [Pa] Notes ----- The original acceleration formula is fairly primitive and normally neglected. The model was developed assuming smooth pipe, so leaving `roughness` to zero may be wise. Note this is a "mechanistic" pressure drop model - the gravitational pressure drop cannot be separated from the frictional pressure drop. Examples -------- >>> Beggs_Brill(m=0.6, x=0.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, ... sigma=0.0487, P=1E7, D=0.05, angle=0, roughness=0.0, L=1.0) 686.9724506803469 References ---------- .. [1] Beggs, D.H., and J.P. Brill. "A Study of Two-Phase Flow in Inclined Pipes." Journal of Petroleum Technology 25, no. 05 (May 1, 1973): 607-17. https://doi.org/10.2118/4007-PA. .. [2] Brill, James P., and Howard Dale Beggs. Two-Phase Flow in Pipes, 1994. .. [3] Shoham, Ovadia. Mechanistic Modeling of Gas-Liquid Two-Phase Flow in Pipes. Pap/Cdr edition. Richardson, TX: Society of Petroleum Engineers, 2006. ''' # 0 - segregated; 1 - transition; 2 - intermittent; 3 - distributed qg = x*m/rhog ql = (1.0 - x)*m/rhol A = 0.25*pi*D*D Vsg = qg/A Vsl = ql/A Vm = Vsg + Vsl Fr = Vm*Vm/(g*D) lambda_L = Vsl/Vm # no slip liquid holdup L1 = 316.0*lambda_L**0.302 L2 = 0.0009252*lambda_L**-2.4684 L3 = 0.1*lambda_L**-1.4516 L4 = 0.5*lambda_L**-6.738 if (lambda_L < 0.01 and Fr < L1) or (lambda_L >= 0.01 and Fr < L2): regime = 0 elif (lambda_L >= 0.01 and L2 <= Fr <= L3): regime = 1 elif (0.01 <= lambda_L < 0.4 and L3 < Fr <= L1) or (lambda_L >= 0.4 and L3 < Fr <= L4): regime = 2 elif (lambda_L < 0.4 and Fr >= L1) or (lambda_L >= 0.4 and Fr > L4): regime = 3 else: raise ValueError('Outside regime ranges') LV = Vsl*sqrt(sqrt(rhol/(g*sigma))) if angle is None: angle = 0.0 angle = deg2rad*angle if regime != 1: Hl = _Beggs_Brill_holdup(regime, lambda_L, Fr, angle, LV) else: A = (L3 - Fr)/(L3 - L2) Hl = (A*_Beggs_Brill_holdup(0, lambda_L, Fr, angle, LV) + (1.0 - A)*_Beggs_Brill_holdup(2, lambda_L, Fr, angle, LV)) rhos = rhol*Hl + rhog*(1.0 - Hl) mum = mul*lambda_L + mug*(1.0 - lambda_L) rhom = rhol*lambda_L + rhog*(1.0 - lambda_L) Rem = rhom*D/mum*Vm fn = friction_factor(Re=Rem, eD=roughness/D) x = lambda_L/(Hl*Hl) if 1.0 < x < 1.2: S = log(2.2*x - 1.2) else: logx = log(x) # from horner(-0.0523 + 3.182*log(x) - 0.8725*log(x)**2 + 0.01853*log(x)**4, x) S = logx/(logx*(logx*(0.01853*logx*logx - 0.8725) + 3.182) - 0.0523) if S > 7.0: S = 7.0 # Truncate S to avoid exp(S) overflowing ftp = fn*exp(S) dP_ele = g*sin(angle)*rhos*L dP_fric = ftp*L/D*0.5*rhom*Vm*Vm # rhos here is pretty clearly rhos according to Shoham if P is None: P = 101325.0 if not acceleration: dP = dP_ele + dP_fric else: Ek = Vsg*Vm*rhos/P # Confirmed this expression is dimensionless dP = (dP_ele + dP_fric)/(1.0 - Ek) return dP def Friedel(m, x, rhol, rhog, mul, mug, sigma, D, roughness=0.0, L=1.0): r'''Calculates two-phase pressure drop with the Friedel correlation. .. math:: \Delta P_{friction} = \Delta P_{lo} \phi_{lo}^2 .. math:: \phi_{lo}^2 = E + \frac{3.24FH}{Fr^{0.0454} We^{0.035}} .. math:: H = \left(\frac{\rho_l}{\rho_g}\right)^{0.91}\left(\frac{\mu_g}{\mu_l} \right)^{0.19}\left(1 - \frac{\mu_g}{\mu_l}\right)^{0.7} .. math:: F = x^{0.78}(1 - x)^{0.224} .. math:: E = (1-x)^2 + x^2\left(\frac{\rho_l f_{d,go}}{\rho_g f_{d,lo}}\right) .. math:: Fr = \frac{G_{tp}^2}{gD\rho_H^2} .. math:: We = \frac{G_{tp}^2 D}{\sigma \rho_H} .. math:: \rho_H = \left(\frac{x}{\rho_g} + \frac{1-x}{\rho_l}\right)^{-1} Parameters ---------- m : float Mass flow rate of fluid, [kg/s] x : float Quality of fluid, [-] rhol : float Liquid density, [kg/m^3] rhog : float Gas density, [kg/m^3] mul : float Viscosity of liquid, [Pa*s] mug : float Viscosity of gas, [Pa*s] sigma : float Surface tension, [N/m] D : float Diameter of pipe, [m] roughness : float, optional Roughness of pipe for use in calculating friction factor, [m] L : float, optional Length of pipe, [m] Returns ------- dP : float Pressure drop of the two-phase flow, [Pa] Notes ----- Applicable to vertical upflow and horizontal flow. Known to work poorly when mul/mug > 1000. Gives mean errors on the order of 40%. Tested on data with diameters as small as 4 mm. The power of 0.0454 is given as 0.045 in [2]_, [3]_, [4]_, and [5]_; [6]_ and [2]_ give 0.0454 and [2]_ also gives a similar correlation said to be presented in [1]_, so it is believed this 0.0454 was the original power. [6]_ also gives an expression for friction factor claimed to be presented in [1]_; it is not used here. Examples -------- Example 4 in [6]_: >>> Friedel(m=0.6, x=0.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, ... sigma=0.0487, D=0.05, roughness=0.0, L=1.0) 738.6500525002241 References ---------- .. [1] Friedel, L. "Improved Friction Pressure Drop Correlations for Horizontal and Vertical Two-Phase Pipe Flow." , in: Proceedings, European Two Phase Flow Group Meeting, Ispra, Italy, 1979: 485-481. .. [2] Whalley, P. B. Boiling, Condensation, and Gas-Liquid Flow. Oxford: Oxford University Press, 1987. .. [3] Triplett, K. A., S. M. Ghiaasiaan, S. I. Abdel-Khalik, A. LeMouel, and B. N. McCord. "Gas-liquid Two-Phase Flow in Microchannels: Part II: Void Fraction and Pressure Drop.†International Journal of Multiphase Flow 25, no. 3 (April 1999): 395-410. doi:10.1016/S0301-9322(98)00055-X. .. [4] Mekisso, Henock Mateos. "Comparison of Frictional Pressure Drop Correlations for Isothermal Two-Phase Horizontal Flow." Thesis, Oklahoma State University, 2013. https://shareok.org/handle/11244/11109. .. [5] Thome, John R. "Engineering Data Book III." Wolverine Tube Inc (2004). http://www.wlv.com/heat-transfer-databook/ .. [6] Ghiaasiaan, S. Mostafa. Two-Phase Flow, Boiling, and Condensation: In Conventional and Miniature Systems. Cambridge University Press, 2007. ''' # Liquid-only properties, for calculation of E, dP_lo v_lo = m/rhol/(pi/4*D**2) Re_lo = Reynolds(V=v_lo, rho=rhol, mu=mul, D=D) fd_lo = friction_factor(Re=Re_lo, eD=roughness/D) dP_lo = fd_lo*L/D*(0.5*rhol*v_lo**2) # Gas-only properties, for calculation of E v_go = m/rhog/(pi/4*D**2) Re_go = Reynolds(V=v_go, rho=rhog, mu=mug, D=D) fd_go = friction_factor(Re=Re_go, eD=roughness/D) F = x**0.78*(1-x)**0.224 H = (rhol/rhog)**0.91*(mug/mul)**0.19*(1 - mug/mul)**0.7 E = (1-x)**2 + x**2*(rhol*fd_go/(rhog*fd_lo)) # Homogeneous properties, for Froude/Weber numbers voidage_h = homogeneous(x, rhol, rhog) rho_h = rhol*(1-voidage_h) + rhog*voidage_h Q_h = m/rho_h v_h = Q_h/(pi/4*D**2) Fr = Froude(V=v_h, L=D, squared=True) # checked with (m/(pi/4*D**2))**2/g/D/rho_h**2 We = Weber(V=v_h, L=D, rho=rho_h, sigma=sigma) # checked with (m/(pi/4*D**2))**2*D/sigma/rho_h phi_lo2 = E + 3.24*F*H/(Fr**0.0454*We**0.035) return phi_lo2*dP_lo def Gronnerud(m, x, rhol, rhog, mul, mug, D, roughness=0.0, L=1.0): r'''Calculates two-phase pressure drop with the Gronnerud correlation as presented in [2]_, [3]_, and [4]_. .. math:: \Delta P_{friction} = \Delta P_{gd} \phi_{lo}^2 .. math:: \phi_{gd} = 1 + \left(\frac{dP}{dL}\right)_{Fr}\left[ \frac{\frac{\rho_l}{\rho_g}}{\left(\frac{\mu_l}{\mu_g}\right)^{0.25}} -1\right] .. math:: \left(\frac{dP}{dL}\right)_{Fr} = f_{Fr}\left[x+4(x^{1.8}-x^{10} f_{Fr}^{0.5})\right] .. math:: f_{Fr} = Fr_l^{0.3} + 0.0055\left(\ln \frac{1}{Fr_l}\right)^2 .. math:: Fr_l = \frac{G_{tp}^2}{gD\rho_l^2} Parameters ---------- m : float Mass flow rate of fluid, [kg/s] x : float Quality of fluid, [-] rhol : float Liquid density, [kg/m^3] rhog : float Gas density, [kg/m^3] mul : float Viscosity of liquid, [Pa*s] mug : float Viscosity of gas, [Pa*s] D : float Diameter of pipe, [m] roughness : float, optional Roughness of pipe for use in calculating friction factor, [m] L : float, optional Length of pipe, [m] Returns ------- dP : float Pressure drop of the two-phase flow, [Pa] Notes ----- Developed for evaporators. Applicable from 0 < x < 1. In the model, if `Fr_l` is more than 1, `f_Fr` is set to 1. Examples -------- >>> Gronnerud(m=0.6, x=0.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, ... D=0.05, roughness=0.0, L=1.0) 384.12541144474085 References ---------- .. [1] Gronnerud, R. "Investigation of Liquid Hold-Up, Flow Resistance and Heat Transfer in Circulation Type Evaporators. 4. Two-Phase Flow Resistance in Boiling Refrigerants." Proc. Freudenstadt Meet., IIR/C. R. Réun. Freudenstadt, IIF. 1972-1: 127-138. 1972. .. [2] ASHRAE Handbook: Fundamentals. American Society of Heating, Refrigerating and Air-Conditioning Engineers, Incorporated, 2013. .. [3] Mekisso, Henock Mateos. "Comparison of Frictional Pressure Drop Correlations for Isothermal Two-Phase Horizontal Flow." Thesis, Oklahoma State University, 2013. https://shareok.org/handle/11244/11109. .. [4] Thome, John R. "Engineering Data Book III." Wolverine Tube Inc (2004). http://www.wlv.com/heat-transfer-databook/ ''' G = m/(pi/4*D**2) V = G/rhol Frl = Froude(V=V, L=D, squared=True) if Frl >= 1: f_Fr = 1 else: f_Fr = Frl**0.3 + 0.0055*(log(1./Frl))**2 dP_dL_Fr = f_Fr*(x + 4*(x**1.8 - x**10*sqrt(f_Fr))) phi_gd = 1 + dP_dL_Fr*((rhol/rhog)/sqrt(sqrt(mul/mug)) - 1) # Liquid-only properties, for calculation of E, dP_lo v_lo = m/rhol/(pi/4*D**2) Re_lo = Reynolds(V=v_lo, rho=rhol, mu=mul, D=D) fd_lo = friction_factor(Re=Re_lo, eD=roughness/D) dP_lo = fd_lo*L/D*(0.5*rhol*v_lo**2) return phi_gd*dP_lo def Chisholm(m, x, rhol, rhog, mul, mug, D, roughness=0.0, L=1.0, rough_correction=False): r'''Calculates two-phase pressure drop with the Chisholm (1973) correlation from [1]_, also in [2]_ and [3]_. .. math:: \frac{\Delta P_{tp}}{\Delta P_{lo}} = \phi_{ch}^2 .. math:: \phi_{ch}^2 = 1 + (\Gamma^2 -1)\left\{B x^{(2-n)/2} (1-x)^{(2-n)/2} + x^{2-n} \right\} .. math:: \Gamma ^2 = \frac{\left(\frac{\Delta P}{L}\right)_{go}}{\left(\frac{ \Delta P}{L}\right)_{lo}} For Gamma < 9.5: .. math:: B = \frac{55}{G_{tp}^{0.5}} \text{ for } G_{tp} > 1900 .. math:: B = \frac{2400}{G_{tp}} \text{ for } 500 < G_{tp} < 1900 .. math:: B = 4.8 \text{ for } G_{tp} < 500 For 9.5 < Gamma < 28: .. math:: B = \frac{520}{\Gamma G_{tp}^{0.5}} \text{ for } G_{tp} < 600 .. math:: B = \frac{21}{\Gamma} \text{ for } G_{tp} > 600 For Gamma > 28: .. math:: B = \frac{15000}{\Gamma^2 G_{tp}^{0.5}} If `rough_correction` is True, the following correction to B is applied: .. math:: \frac{B_{rough}}{B_{smooth}} = \left[0.5\left\{1+ \left(\frac{\mu_g} {\mu_l}\right)^2 + 10^{-600\epsilon/D}\right\}\right]^{\frac{0.25-n} {0.25}} .. math:: n = \frac{\ln \frac{f_{d,lo}}{f_{d,go}}}{\ln \frac{Re_{go}}{Re_{lo}}} Parameters ---------- m : float Mass flow rate of fluid, [kg/s] x : float Quality of fluid, [-] rhol : float Liquid density, [kg/m^3] rhog : float Gas density, [kg/m^3] mul : float Viscosity of liquid, [Pa*s] mug : float Viscosity of gas, [Pa*s] D : float Diameter of pipe, [m] roughness : float, optional Roughness of pipe for use in calculating friction factor, [m] L : float, optional Length of pipe, [m] rough_correction : bool, optional Whether or not to use the roughness correction proposed in the 1968 version of the correlation Returns ------- dP : float Pressure drop of the two-phase flow, [Pa] Notes ----- Applicable for 0 < x < 1. n = 0.25, the exponent in the Blassius equation. Originally developed for smooth pipes, a roughness correction is included as well from the Chisholm's 1968 work [4]_. Neither [2]_ nor [3]_ have any mention of the correction however. Examples -------- >>> Chisholm(m=0.6, x=0.1, rhol=915., rhog=2.67, mul=180E-6, ... mug=14E-6, D=0.05, roughness=0.0, L=1.0) 1084.1489922923738 References ---------- .. [1] Chisholm, D. "Pressure Gradients due to Friction during the Flow of Evaporating Two-Phase Mixtures in Smooth Tubes and Channels." International Journal of Heat and Mass Transfer 16, no. 2 (February 1973): 347-58. doi:10.1016/0017-9310(73)90063-X. .. [2] Mekisso, Henock Mateos. "Comparison of Frictional Pressure Drop Correlations for Isothermal Two-Phase Horizontal Flow." Thesis, Oklahoma State University, 2013. https://shareok.org/handle/11244/11109. .. [3] Thome, John R. "Engineering Data Book III." Wolverine Tube Inc (2004). http://www.wlv.com/heat-transfer-databook/ .. [4] Chisholm, D. "Research Note: Influence of Pipe Surface Roughness on Friction Pressure Gradient during Two-Phase Flow." Journal of Mechanical Engineering Science 20, no. 6 (December 1, 1978): 353-354. doi:10.1243/JMES_JOUR_1978_020_061_02. ''' G_tp = m/(pi/4*D**2) n = 0.25 # Blasius friction factor exponent # Liquid-only properties, for calculation of dP_lo v_lo = m/rhol/(pi/4*D**2) Re_lo = Reynolds(V=v_lo, rho=rhol, mu=mul, D=D) fd_lo = friction_factor(Re=Re_lo, eD=roughness/D) dP_lo = fd_lo*L/D*(0.5*rhol*v_lo**2) # Gas-only properties, for calculation of dP_go v_go = m/rhog/(pi/4*D**2) Re_go = Reynolds(V=v_go, rho=rhog, mu=mug, D=D) fd_go = friction_factor(Re=Re_go, eD=roughness/D) dP_go = fd_go*L/D*(0.5*rhog*v_go**2) Gamma = sqrt(dP_go/dP_lo) if Gamma <= 9.5: if G_tp <= 500: B = 4.8 elif G_tp < 1900: B = 2400./G_tp else: B = 55.0/sqrt(G_tp) elif Gamma <= 28: if G_tp <= 600: B = 520./sqrt(G_tp)/Gamma else: B = 21./Gamma else: B = 15000./sqrt(G_tp)/Gamma**2 if rough_correction: n = log(fd_lo/fd_go)/log(Re_go/Re_lo) B_ratio = (0.5*(1 + (mug/mul)**2 + 10**(-600*roughness/D)))**((0.25-n)/0.25) B = B*B_ratio phi2_ch = 1 + (Gamma**2-1)*(B*x**((2-n)/2.)*(1-x)**((2-n)/2.) + x**(2-n)) return phi2_ch*dP_lo def Baroczy_Chisholm(m, x, rhol, rhog, mul, mug, D, roughness=0.0, L=1.0): r'''Calculates two-phase pressure drop with the Baroczy (1966) model. It was presented in graphical form originally; Chisholm (1973) made the correlation non-graphical. The model is also shown in [3]_. .. math:: \frac{\Delta P_{tp}}{\Delta P_{lo}} = \phi_{ch}^2 .. math:: \phi_{ch}^2 = 1 + (\Gamma^2 -1)\left\{B x^{(2-n)/2} (1-x)^{(2-n)/2} + x^{2-n} \right\} .. math:: \Gamma ^2 = \frac{\left(\frac{\Delta P}{L}\right)_{go}}{\left(\frac{ \Delta P}{L}\right)_{lo}} For Gamma < 9.5: .. math:: B = \frac{55}{G_{tp}^{0.5}} For 9.5 < Gamma < 28: .. math:: B = \frac{520}{\Gamma G_{tp}^{0.5}} For Gamma > 28: .. math:: B = \frac{15000}{\Gamma^2 G_{tp}^{0.5}} Parameters ---------- m : float Mass flow rate of fluid, [kg/s] x : float Quality of fluid, [-] rhol : float Liquid density, [kg/m^3] rhog : float Gas density, [kg/m^3] mul : float Viscosity of liquid, [Pa*s] mug : float Viscosity of gas, [Pa*s] D : float Diameter of pipe, [m] roughness : float, optional Roughness of pipe for use in calculating friction factor, [m] L : float, optional Length of pipe, [m] Returns ------- dP : float Pressure drop of the two-phase flow, [Pa] Notes ----- Applicable for 0 < x < 1. n = 0.25, the exponent in the Blassius equation. The `Chisholm_1973` function should be used in preference to this. Examples -------- >>> Baroczy_Chisholm(m=0.6, x=0.1, rhol=915., rhog=2.67, mul=180E-6, ... mug=14E-6, D=0.05, roughness=0.0, L=1.0) 1084.1489922923738 References ---------- .. [1] Baroczy, C. J. "A systematic correlation for two-phase pressure drop." In Chem. Eng. Progr., Symp. Ser., 62: No. 64, 232-49 (1966). .. [2] Chisholm, D. "Pressure Gradients due to Friction during the Flow of Evaporating Two-Phase Mixtures in Smooth Tubes and Channels." International Journal of Heat and Mass Transfer 16, no. 2 (February 1973): 347-58. doi:10.1016/0017-9310(73)90063-X. .. [3] Mekisso, Henock Mateos. "Comparison of Frictional Pressure Drop Correlations for Isothermal Two-Phase Horizontal Flow." Thesis, Oklahoma State University, 2013. https://shareok.org/handle/11244/11109. ''' G_tp = m/(pi/4*D**2) n = 0.25 # Blasius friction factor exponent # Liquid-only properties, for calculation of dP_lo v_lo = m/rhol/(pi/4*D**2) Re_lo = Reynolds(V=v_lo, rho=rhol, mu=mul, D=D) fd_lo = friction_factor(Re=Re_lo, eD=roughness/D) dP_lo = fd_lo*L/D*(0.5*rhol*v_lo**2) # Gas-only properties, for calculation of dP_go v_go = m/rhog/(pi/4*D**2) Re_go = Reynolds(V=v_go, rho=rhog, mu=mug, D=D) fd_go = friction_factor(Re=Re_go, eD=roughness/D) dP_go = fd_go*L/D*(0.5*rhog*v_go**2) Gamma = sqrt(dP_go/dP_lo) if Gamma <= 9.5: B = 55.0/sqrt(G_tp) elif Gamma <= 28: B = 520./sqrt(G_tp)/Gamma else: B = 15000./sqrt(G_tp)/Gamma**2 phi2_ch = 1 + (Gamma**2-1)*(B*x**((2-n)/2.)*(1-x)**((2-n)/2.) + x**(2-n)) return phi2_ch*dP_lo def Muller_Steinhagen_Heck(m, x, rhol, rhog, mul, mug, D, roughness=0.0, L=1.0): r'''Calculates two-phase pressure drop with the Muller-Steinhagen and Heck (1986) correlation from [1]_, also in [2]_ and [3]_. .. math:: \Delta P_{tp} = G_{MSH}(1-x)^{1/3} + \Delta P_{go}x^3 .. math:: G_{MSH} = \Delta P_{lo} + 2\left[\Delta P_{go} - \Delta P_{lo}\right]x Parameters ---------- m : float Mass flow rate of fluid, [kg/s] x : float Quality of fluid, [-] rhol : float Liquid density, [kg/m^3] rhog : float Gas density, [kg/m^3] mul : float Viscosity of liquid, [Pa*s] mug : float Viscosity of gas, [Pa*s] D : float Diameter of pipe, [m] roughness : float, optional Roughness of pipe for use in calculating friction factor, [m] L : float, optional Length of pipe, [m] Returns ------- dP : float Pressure drop of the two-phase flow, [Pa] Notes ----- Applicable for 0 < x < 1. Developed to be easily integrated. The contribution of each term to the overall pressure drop can be understood in this model. Examples -------- >>> Muller_Steinhagen_Heck(m=0.6, x=0.1, rhol=915., rhog=2.67, mul=180E-6, ... mug=14E-6, D=0.05, roughness=0.0, L=1.0) 793.4465457435081 References ---------- .. [1] Müller-Steinhagen, H, and K Heck. "A Simple Friction Pressure Drop Correlation for Two-Phase Flow in Pipes." Chemical Engineering and Processing: Process Intensification 20, no. 6 (November 1, 1986): 297-308. doi:10.1016/0255-2701(86)80008-3. .. [2] Mekisso, Henock Mateos. "Comparison of Frictional Pressure Drop Correlations for Isothermal Two-Phase Horizontal Flow." Thesis, Oklahoma State University, 2013. https://shareok.org/handle/11244/11109. .. [3] Thome, John R. "Engineering Data Book III." Wolverine Tube Inc (2004). http://www.wlv.com/heat-transfer-databook/ ''' # Liquid-only properties, for calculation of dP_lo v_lo = m/rhol/(pi/4*D**2) Re_lo = Reynolds(V=v_lo, rho=rhol, mu=mul, D=D) fd_lo = friction_factor(Re=Re_lo, eD=roughness/D) dP_lo = fd_lo*L/D*(0.5*rhol*v_lo**2) # Gas-only properties, for calculation of dP_go v_go = m/rhog/(pi/4*D**2) Re_go = Reynolds(V=v_go, rho=rhog, mu=mug, D=D) fd_go = friction_factor(Re=Re_go, eD=roughness/D) dP_go = fd_go*L/D*(0.5*rhog*v_go**2) G_MSH = dP_lo + 2*(dP_go - dP_lo)*x return G_MSH*(1-x)**(1/3.) + dP_go*x**3 def Lombardi_Pedrocchi(m, x, rhol, rhog, sigma, D, L=1.0): r'''Calculates two-phase pressure drop with the Lombardi-Pedrocchi (1972) correlation from [1]_ as shown in [2]_ and [3]_. .. math:: \Delta P_{tp} = \frac{0.83 G_{tp}^{1.4} \sigma^{0.4} L}{D^{1.2} \rho_{h}^{0.866}} Parameters ---------- m : float Mass flow rate of fluid, [kg/s] x : float Quality of fluid, [-] rhol : float Liquid density, [kg/m^3] rhog : float Gas density, [kg/m^3] sigma : float Surface tension, [N/m] D : float Diameter of pipe, [m] L : float, optional Length of pipe, [m] Returns ------- dP : float Pressure drop of the two-phase flow, [Pa] Notes ----- This is a purely empirical method. [3]_ presents a review of this and other correlations. It did not perform best, but there were also correlations worse than it. Examples -------- >>> Lombardi_Pedrocchi(m=0.6, x=0.1, rhol=915., rhog=2.67, sigma=0.045, ... D=0.05, L=1.0) 1567.328374498781 References ---------- .. [1] Lombardi, C., and E. Pedrocchi. "Pressure Drop Correlation in Two- Phase Flow." Energ. Nucl. (Milan) 19: No. 2, 91-99, January 1, 1972. .. [2] Mekisso, Henock Mateos. "Comparison of Frictional Pressure Drop Correlations for Isothermal Two-Phase Horizontal Flow." Thesis, Oklahoma State University, 2013. https://shareok.org/handle/11244/11109. .. [3] Turgut, OÄŸuz Emrah, Mustafa Turhan Çoban, and Mustafa Asker. "Comparison of Flow Boiling Pressure Drop Correlations for Smooth Macrotubes." Heat Transfer Engineering 37, no. 6 (April 12, 2016): 487-506. doi:10.1080/01457632.2015.1060733. ''' voidage_h = homogeneous(x, rhol, rhog) rho_h = rhol*(1-voidage_h) + rhog*voidage_h G_tp = m/(pi/4*D**2) return 0.83*G_tp**1.4*sigma**0.4*L/(D**1.2*rho_h**0.866) def Theissing(m, x, rhol, rhog, mul, mug, D, roughness=0.0, L=1.0): r'''Calculates two-phase pressure drop with the Theissing (1980) correlation as shown in [2]_ and [3]_. .. math:: \Delta P_{{tp}} = \left[ {\Delta P_{{lo}}^{{1/{n\epsilon}}} \left({1 - x} \right)^{{1/\epsilon}} + \Delta P_{{go}}^{{1/ {(n\epsilon)}}} x^{{1/\epsilon}}} \right]^{n\epsilon} .. math:: \epsilon = 3 - 2\left({\frac{{2\sqrt {{{\rho_{{l}}}/ {\rho_{{g}}}}}}}{{1 + {{\rho_{{l}}}/{\rho_{{g}}}}}}} \right)^{{{0.7}/n}} .. math:: n = \frac{{n_1 + n_2 \left({{{\Delta P_{{g}}}/{\Delta P_{{l}}}}} \right)^{0.1}}}{{1 + \left({{{\Delta P_{{g}}} / {\Delta P_{{l}}}}} \right)^{0.1}}} .. math:: n_1 = \frac{{\ln \left({{{\Delta P_{{l}}}/ {\Delta P_{{lo}}}}} \right)}}{{\ln \left({1 - x} \right)}} .. math:: n_2 = \frac{\ln \left({\Delta P_{{g}} / \Delta P_{{go}}} \right)}{{\ln x}} Parameters ---------- m : float Mass flow rate of fluid, [kg/s] x : float Quality of fluid, [-] rhol : float Liquid density, [kg/m^3] rhog : float Gas density, [kg/m^3] mul : float Viscosity of liquid, [Pa*s] mug : float Viscosity of gas, [Pa*s] D : float Diameter of pipe, [m] roughness : float, optional Roughness of pipe for use in calculating friction factor, [m] L : float, optional Length of pipe, [m] Returns ------- dP : float Pressure drop of the two-phase flow, [Pa] Notes ----- Applicable for 0 < x < 1. Notable, as it can be used for two-phase liquid- liquid flow as well as liquid-gas flow. Examples -------- >>> Theissing(m=0.6, x=.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, ... D=0.05, roughness=0.0, L=1.0) 497.6156370699538 References ---------- .. [1] Theissing, Peter. "Eine Allgemeingültige Methode Zur Berechnung Des Reibungsdruckverlustes Der Mehrphasenströmung (A Generally Valid Method for Calculating Frictional Pressure Drop on Multiphase Flow)." Chemie Ingenieur Technik 52, no. 4 (January 1, 1980): 344-345. doi:10.1002/cite.330520414. .. [2] Mekisso, Henock Mateos. "Comparison of Frictional Pressure Drop Correlations for Isothermal Two-Phase Horizontal Flow." Thesis, Oklahoma State University, 2013. https://shareok.org/handle/11244/11109. .. [3] Greco, A., and G. P. Vanoli. "Experimental Two-Phase Pressure Gradients during Evaporation of Pure and Mixed Refrigerants in a Smooth Horizontal Tube. Comparison with Correlations." Heat and Mass Transfer 42, no. 8 (April 6, 2006): 709-725. doi:10.1007/s00231-005-0020-7. ''' # Liquid-only flow v_lo = m/rhol/(pi/4*D**2) Re_lo = Reynolds(V=v_lo, rho=rhol, mu=mul, D=D) fd_lo = friction_factor(Re=Re_lo, eD=roughness/D) dP_lo = fd_lo*L/D*(0.5*rhol*v_lo**2) # Gas-only flow v_go = m/rhog/(pi/4*D**2) Re_go = Reynolds(V=v_go, rho=rhog, mu=mug, D=D) fd_go = friction_factor(Re=Re_go, eD=roughness/D) dP_go = fd_go*L/D*(0.5*rhog*v_go**2) # Handle x = 0, x=1: if x == 0: return dP_lo elif x == 1: return dP_go # Actual Liquid flow v_l = m*(1-x)/rhol/(pi/4*D**2) Re_l = Reynolds(V=v_l, rho=rhol, mu=mul, D=D) fd_l = friction_factor(Re=Re_l, eD=roughness/D) dP_l = fd_l*L/D*(0.5*rhol*v_l**2) # Actual gas flow v_g = m*x/rhog/(pi/4*D**2) Re_g = Reynolds(V=v_g, rho=rhog, mu=mug, D=D) fd_g = friction_factor(Re=Re_g, eD=roughness/D) dP_g = fd_g*L/D*(0.5*rhog*v_g**2) # The model n1 = log(dP_l/dP_lo)/log(1.-x) n2 = log(dP_g/dP_go)/log(x) n = (n1 + n2*(dP_g/dP_l)**0.1)/(1 + (dP_g/dP_l)**0.1) epsilon = 3 - 2*(2*sqrt(rhol/rhog)/(1.+rhol/rhog))**(0.7/n) dP = (dP_lo**(1./(n*epsilon))*(1-x)**(1./epsilon) + dP_go**(1./(n*epsilon))*x**(1./epsilon))**(n*epsilon) return dP def Jung_Radermacher(m, x, rhol, rhog, mul, mug, D, roughness=0.0, L=1.0): r'''Calculates two-phase pressure drop with the Jung-Radermacher (1989) correlation, also shown in [2]_ and [3]_. .. math:: \frac{\Delta P_{tp}}{\Delta P_{lo}} = \phi_{tp}^2 .. math:: \phi_{tp}^2 = 12.82X_{tt}^{-1.47}(1-x)^{1.8} Parameters ---------- m : float Mass flow rate of fluid, [kg/s] x : float Quality of fluid, [-] rhol : float Liquid density, [kg/m^3] rhog : float Gas density, [kg/m^3] mul : float Viscosity of liquid, [Pa*s] mug : float Viscosity of gas, [Pa*s] D : float Diameter of pipe, [m] roughness : float, optional Roughness of pipe for use in calculating friction factor, [m] L : float, optional Length of pipe, [m] Returns ------- dP : float Pressure drop of the two-phase flow, [Pa] Notes ----- Applicable for 0 < x < 1. Developed for the annular flow regime in turbulent-turbulent flow. Examples -------- >>> Jung_Radermacher(m=0.6, x=0.1, rhol=915., rhog=2.67, mul=180E-6, ... mug=14E-6, D=0.05, roughness=0.0, L=1.0) 552.0686123725568 References ---------- .. [1] Jung, D. S., and R. Radermacher. "Prediction of Pressure Drop during Horizontal Annular Flow Boiling of Pure and Mixed Refrigerants." International Journal of Heat and Mass Transfer 32, no. 12 (December 1, 1989): 2435-46. doi:10.1016/0017-9310(89)90203-2. .. [2] Kim, Sung-Min, and Issam Mudawar. "Universal Approach to Predicting Two-Phase Frictional Pressure Drop for Adiabatic and Condensing Mini/ Micro-Channel Flows." International Journal of Heat and Mass Transfer 55, no. 11–12 (May 2012): 3246-61. doi:10.1016/j.ijheatmasstransfer.2012.02.047. .. [3] Filip, Alina, Florin BăltăreÅ£u, and Radu-Mircea Damian. "Comparison of Two-Phase Pressure Drop Models for Condensing Flows in Horizontal Tubes." Mathematical Modelling in Civil Engineering 10, no. 4 (2015): 19-27. doi:10.2478/mmce-2014-0019. ''' v_lo = m/rhol/(pi/4*D**2) Re_lo = Reynolds(V=v_lo, rho=rhol, mu=mul, D=D) fd_lo = friction_factor(Re=Re_lo, eD=roughness/D) dP_lo = fd_lo*L/D*(0.5*rhol*v_lo**2) Xtt = Lockhart_Martinelli_Xtt(x, rhol, rhog, mul, mug) phi_tp2 = 12.82*Xtt**-1.47*(1.-x)**1.8 return phi_tp2*dP_lo def Tran(m, x, rhol, rhog, mul, mug, sigma, D, roughness=0.0, L=1.0): r'''Calculates two-phase pressure drop with the Tran (2000) correlation, also shown in [2]_ and [3]_. .. math:: \Delta P = dP_{lo} \phi_{lo}^2 .. math:: \phi_{lo}^2 = 1 + (4.3\Gamma^2-1)[\text{Co} \cdot x^{0.875} (1-x)^{0.875}+x^{1.75}] .. math:: \Gamma ^2 = \frac{\left(\frac{\Delta P}{L}\right)_{go}}{\left(\frac {\Delta P}{L}\right)_{lo}} Parameters ---------- m : float Mass flow rate of fluid, [kg/s] x : float Quality of fluid, [-] rhol : float Liquid density, [kg/m^3] rhog : float Gas density, [kg/m^3] mul : float Viscosity of liquid, [Pa*s] mug : float Viscosity of gas, [Pa*s] sigma : float Surface tension, [N/m] D : float Diameter of pipe, [m] roughness : float, optional Roughness of pipe for use in calculating friction factor, [m] L : float, optional Length of pipe, [m] Returns ------- dP : float Pressure drop of the two-phase flow, [Pa] Notes ----- Developed for boiling refrigerants in channels with hydraulic diameters of 2.4 mm to 2.92 mm. Examples -------- >>> Tran(m=0.6, x=0.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, ... sigma=0.0487, D=0.05, roughness=0.0, L=1.0) 423.2563312951232 References ---------- .. [1] Tran, T. N, M. -C Chyu, M. W Wambsganss, and D. M France. "Two-Phase Pressure Drop of Refrigerants during Flow Boiling in Small Channels: An Experimental Investigation and Correlation Development." International Journal of Multiphase Flow 26, no. 11 (November 1, 2000): 1739-54. doi:10.1016/S0301-9322(99)00119-6. .. [2] Kim, Sung-Min, and Issam Mudawar. "Universal Approach to Predicting Two-Phase Frictional Pressure Drop for Adiabatic and Condensing Mini/ Micro-Channel Flows." International Journal of Heat and Mass Transfer 55, no. 11–12 (May 2012): 3246-61. doi:10.1016/j.ijheatmasstransfer.2012.02.047. .. [3] Choi, Kwang-Il, A. S. Pamitran, Chun-Young Oh, and Jong-Taek Oh. "Two-Phase Pressure Drop of R-410A in Horizontal Smooth Minichannels." International Journal of Refrigeration 31, no. 1 (January 2008): 119-29. doi:10.1016/j.ijrefrig.2007.06.006. ''' # Liquid-only properties, for calculation of dP_lo v_lo = m/rhol/(pi/4*D**2) Re_lo = Reynolds(V=v_lo, rho=rhol, mu=mul, D=D) fd_lo = friction_factor(Re=Re_lo, eD=roughness/D) dP_lo = fd_lo*L/D*(0.5*rhol*v_lo**2) # Gas-only properties, for calculation of dP_go v_go = m/rhog/(pi/4*D**2) Re_go = Reynolds(V=v_go, rho=rhog, mu=mug, D=D) fd_go = friction_factor(Re=Re_go, eD=roughness/D) dP_go = fd_go*L/D*(0.5*rhog*v_go**2) Gamma2 = dP_go/dP_lo Co = Confinement(D=D, rhol=rhol, rhog=rhog, sigma=sigma) phi_lo2 = 1 + (4.3*Gamma2 -1)*(Co*x**0.875*(1-x)**0.875 + x**1.75) return dP_lo*phi_lo2 def Chen_Friedel(m, x, rhol, rhog, mul, mug, sigma, D, roughness=0.0, L=1.0): r'''Calculates two-phase pressure drop with the Chen modification of the Friedel correlation, as given in [1]_ and also shown in [2]_ and [3]_. .. math:: \Delta P = \Delta P_{Friedel}\Omega For Bo < 2.5: .. math:: \Omega = \frac{0.0333Re_{lo}^{0.45}}{Re_g^{0.09}(1 + 0.4\exp(-Bo))} For Bo >= 2.5: .. math:: \Omega = \frac{We^{0.2}}{2.5 + 0.06Bo} Parameters ---------- m : float Mass flow rate of fluid, [kg/s] x : float Quality of fluid, [-] rhol : float Liquid density, [kg/m^3] rhog : float Gas density, [kg/m^3] mul : float Viscosity of liquid, [Pa*s] mug : float Viscosity of gas, [Pa*s] sigma : float Surface tension, [N/m] D : float Diameter of pipe, [m] roughness : float, optional Roughness of pipe for use in calculating friction factor, [m] L : float, optional Length of pipe, [m] Returns ------- dP : float Pressure drop of the two-phase flow, [Pa] Notes ----- Applicable ONLY to mini/microchannels; yields drastically too low pressure drops for larger channels. For more details, see the `Friedel` correlation. It is not explicitly stated in [1]_ how to calculate the liquid mixture density for use in calculation of Weber number; the homogeneous model is assumed as it is used in the Friedel model. The bond number used here is 1/4 the normal value, i.e.: .. math:: Bo = \frac{g(\rho_l-\rho_g)D^2}{4\sigma} Examples -------- >>> Chen_Friedel(m=.0005, x=0.9, rhol=950., rhog=1.4, mul=1E-3, mug=1E-5, ... sigma=0.02, D=0.003, roughness=0.0, L=1.0) 6249.247540588871 References ---------- .. [1] Chen, Ing Youn, Kai-Shing Yang, Yu-Juei Chang, and Chi-Chung Wang. "Two-Phase Pressure Drop of Air–water and R-410A in Small Horizontal Tubes." International Journal of Multiphase Flow 27, no. 7 (July 2001): 1293-99. doi:10.1016/S0301-9322(01)00004-0. .. [2] Kim, Sung-Min, and Issam Mudawar. "Universal Approach to Predicting Two-Phase Frictional Pressure Drop for Adiabatic and Condensing Mini/ Micro-Channel Flows." International Journal of Heat and Mass Transfer 55, no. 11–12 (May 2012): 3246-61. doi:10.1016/j.ijheatmasstransfer.2012.02.047. .. [3] Choi, Kwang-Il, A. S. Pamitran, Chun-Young Oh, and Jong-Taek Oh. "Two-Phase Pressure Drop of R-410A in Horizontal Smooth Minichannels." International Journal of Refrigeration 31, no. 1 (January 2008): 119-29. doi:10.1016/j.ijrefrig.2007.06.006. ''' # Liquid-only properties, for calculation of E, dP_lo v_lo = m/rhol/(pi/4*D**2) Re_lo = Reynolds(V=v_lo, rho=rhol, mu=mul, D=D) fd_lo = friction_factor(Re=Re_lo, eD=roughness/D) dP_lo = fd_lo*L/D*(0.5*rhol*v_lo**2) # Gas-only properties, for calculation of E v_go = m/rhog/(pi/4*D**2) Re_go = Reynolds(V=v_go, rho=rhog, mu=mug, D=D) fd_go = friction_factor(Re=Re_go, eD=roughness/D) F = x**0.78*(1-x)**0.224 H = (rhol/rhog)**0.91*(mug/mul)**0.19*(1 - mug/mul)**0.7 E = (1-x)**2 + x**2*(rhol*fd_go/(rhog*fd_lo)) # Homogeneous properties, for Froude/Weber numbers rho_h = 1./(x/rhog + (1-x)/rhol) Q_h = m/rho_h v_h = Q_h/(pi/4*D**2) Fr = Froude(V=v_h, L=D, squared=True) # checked with (m/(pi/4*D**2))**2/g/D/rho_h**2 We = Weber(V=v_h, L=D, rho=rho_h, sigma=sigma) # checked with (m/(pi/4*D**2))**2*D/sigma/rho_h phi_lo2 = E + 3.24*F*H/(Fr**0.0454*We**0.035) dP = phi_lo2*dP_lo # Chen modification; Weber number is the same as above # Weber is same Bo = Bond(rhol=rhol, rhog=rhog, sigma=sigma, L=D)/4 # Custom definition if Bo < 2.5: # Actual gas flow, needed for this case only. v_g = m*x/rhog/(pi/4*D**2) Re_g = Reynolds(V=v_g, rho=rhog, mu=mug, D=D) Omega = 0.0333*Re_lo**0.45/(Re_g**0.09*(1 + 0.5*exp(-Bo))) else: Omega = We**0.2/(2.5 + 0.06*Bo) return dP*Omega def Zhang_Webb(m, x, rhol, mul, P, Pc, D, roughness=0.0, L=1.0): r'''Calculates two-phase pressure drop with the Zhang-Webb (2001) correlation as shown in [1]_ and also given in [2]_. .. math:: \phi_{lo}^2 = (1-x)^2 + 2.87x^2\left(\frac{P}{P_c}\right)^{-1} + 1.68x^{0.8}(1-x)^{0.25}\left(\frac{P}{P_c}\right)^{-1.64} Parameters ---------- m : float Mass flow rate of fluid, [kg/s] x : float Quality of fluid, [-] rhol : float Liquid density, [kg/m^3] mul : float Viscosity of liquid, [Pa*s] P : float Pressure of fluid, [Pa] Pc : float Critical pressure of fluid, [Pa] D : float Diameter of pipe, [m] roughness : float, optional Roughness of pipe for use in calculating friction factor, [m] L : float, optional Length of pipe, [m] Returns ------- dP : float Pressure drop of the two-phase flow, [Pa] Notes ----- Applicable for 0 < x < 1. Corresponding-states method developed with R-134A, R-22 and R-404A in tubes of hydraulic diameters of 2.13 mm, 6.25 mm, and 3.25 mm. For the author's 119 data points, the mean deviation was 11.5%. Recommended for reduced pressures larger than 0.2 and tubes of diameter 1-7 mm. Does not require known properties for the gas phase. Examples -------- >>> Zhang_Webb(m=0.6, x=0.1, rhol=915., mul=180E-6, P=2E5, Pc=4055000, ... D=0.05, roughness=0.0, L=1.0) 712.0999804205617 References ---------- .. [1] Zhang, Ming, and Ralph L. Webb. "Correlation of Two-Phase Friction for Refrigerants in Small-Diameter Tubes." Experimental Thermal and Fluid Science 25, no. 3-4 (October 2001): 131-39. doi:10.1016/S0894-1777(01)00066-8. .. [2] Choi, Kwang-Il, A. S. Pamitran, Chun-Young Oh, and Jong-Taek Oh. "Two-Phase Pressure Drop of R-410A in Horizontal Smooth Minichannels." International Journal of Refrigeration 31, no. 1 (January 2008): 119-29. doi:10.1016/j.ijrefrig.2007.06.006. ''' # Liquid-only properties, for calculation of dP_lo v_lo = m/rhol/(pi/4*D**2) Re_lo = Reynolds(V=v_lo, rho=rhol, mu=mul, D=D) fd_lo = friction_factor(Re=Re_lo, eD=roughness/D) dP_lo = fd_lo*L/D*(0.5*rhol*v_lo**2) Pr = 0.5 if (Pc is None or P is None) else P/Pc phi_lo2 = (1-x)**2 + 2.87*x**2/Pr + 1.68*x**0.8*sqrt(sqrt(1-x))*Pr**-1.64 return dP_lo*phi_lo2 def Bankoff(m, x, rhol, rhog, mul, mug, D, roughness=0.0, L=1.0): r'''Calculates two-phase pressure drop with the Bankoff (1960) correlation, as shown in [2]_, [3]_, and [4]_. .. math:: \Delta P_{tp} = \phi_{l}^{7/4} \Delta P_{l} .. math:: \phi_l = \frac{1}{1-x}\left[1 - \gamma\left(1 - \frac{\rho_g}{\rho_l} \right)\right]^{3/7}\left[1 + x\left(\frac{\rho_l}{\rho_g} - 1\right) \right] .. math:: \gamma = \frac{0.71 + 2.35\left(\frac{\rho_g}{\rho_l}\right)} {1 + \frac{1-x}{x} \cdot \frac{\rho_g}{\rho_l}} Parameters ---------- m : float Mass flow rate of fluid, [kg/s] x : float Quality of fluid, [-] rhol : float Liquid density, [kg/m^3] rhog : float Gas density, [kg/m^3] mul : float Viscosity of liquid, [Pa*s] mug : float Viscosity of gas, [Pa*s] D : float Diameter of pipe, [m] roughness : float, optional Roughness of pipe for use in calculating friction factor, [m] L : float, optional Length of pipe, [m] Returns ------- dP : float Pressure drop of the two-phase flow, [Pa] Notes ----- This correlation is not actually shown in [1]_. Its origin is unknown. The author recommends against using this. Examples -------- >>> Bankoff(m=0.6, x=0.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, ... D=0.05, roughness=0.0, L=1.0) 4746.0594424533965 References ---------- .. [1] Bankoff, S. G. "A Variable Density Single-Fluid Model for Two-Phase Flow With Particular Reference to Steam-Water Flow." Journal of Heat Transfer 82, no. 4 (November 1, 1960): 265-72. doi:10.1115/1.3679930. .. [2] Thome, John R. "Engineering Data Book III." Wolverine Tube Inc (2004). http://www.wlv.com/heat-transfer-databook/ .. [3] Moreno Quibén, Jesús. "Experimental and Analytical Study of Two- Phase Pressure Drops during Evaporation in Horizontal Tubes," 2005. doi:10.5075/epfl-thesis-3337. .. [4] Mekisso, Henock Mateos. "Comparison of Frictional Pressure Drop Correlations for Isothermal Two-Phase Horizontal Flow." Thesis, Oklahoma State University, 2013. https://shareok.org/handle/11244/11109. ''' # Liquid-only properties, for calculation of dP_lo v_lo = m/rhol/(pi/4*D**2) Re_lo = Reynolds(V=v_lo, rho=rhol, mu=mul, D=D) fd_lo = friction_factor(Re=Re_lo, eD=roughness/D) dP_lo = fd_lo*L/D*(0.5*rhol*v_lo**2) gamma = (0.71 + 2.35*rhog/rhol)/(1. + (1.-x)/x*rhog/rhol) phi_Bf = 1./(1.-x)*(1 - gamma*(1 - rhog/rhol))**(3/7.)*(1. + x*(rhol/rhog -1.)) return dP_lo*phi_Bf**(7/4.) def Xu_Fang(m, x, rhol, rhog, mul, mug, sigma, D, roughness=0.0, L=1.0): r'''Calculates two-phase pressure drop with the Xu and Fang (2013) correlation. Developed after a comprehensive review of available correlations, likely meaning it is quite accurate. .. math:: \Delta P = \Delta P_{lo} \phi_{lo}^2 .. math:: \phi_{lo}^2 = Y^2x^3 + (1-x^{2.59})^{0.632}[1 + 2x^{1.17}(Y^2-1) + 0.00775x^{-0.475} Fr_{tp}^{0.535} We_{tp}^{0.188}] .. math:: Y^2 = \frac{\Delta P_{go}}{\Delta P_{lo}} .. math:: Fr_{tp} = \frac{G_{tp}^2}{gD\rho_{tp}^2} .. math:: We_{tp} = \frac{G_{tp}^2 D}{\sigma \rho_{tp}} .. math:: \frac{1}{\rho_{tp}} = \frac{1-x}{\rho_l} + \frac{x}{\rho_g} Parameters ---------- m : float Mass flow rate of fluid, [kg/s] x : float Quality of fluid, [-] rhol : float Liquid density, [kg/m^3] rhog : float Gas density, [kg/m^3] mul : float Viscosity of liquid, [Pa*s] mug : float Viscosity of gas, [Pa*s] sigma : float Surface tension, [N/m] D : float Diameter of pipe, [m] roughness : float, optional Roughness of pipe for use in calculating friction factor, [m] L : float, optional Length of pipe, [m] Returns ------- dP : float Pressure drop of the two-phase flow, [Pa] Notes ----- Examples -------- >>> Xu_Fang(m=0.6, x=0.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, ... sigma=0.0487, D=0.05, roughness=0.0, L=1.0) 604.0595632116267 References ---------- .. [1] Xu, Yu, and Xiande Fang. "A New Correlation of Two-Phase Frictional Pressure Drop for Condensing Flow in Pipes." Nuclear Engineering and Design 263 (October 2013): 87-96. doi:10.1016/j.nucengdes.2013.04.017. ''' A = pi/4*D*D # Liquid-only properties, for calculation of E, dP_lo v_lo = m/rhol/A Re_lo = Reynolds(V=v_lo, rho=rhol, mu=mul, D=D) fd_lo = friction_factor(Re=Re_lo, eD=roughness/D) dP_lo = fd_lo*L/D*(0.5*rhol*v_lo**2) # Gas-only properties, for calculation of E v_go = m/rhog/A Re_go = Reynolds(V=v_go, rho=rhog, mu=mug, D=D) fd_go = friction_factor(Re=Re_go, eD=roughness/D) dP_go = fd_go*L/D*(0.5*rhog*v_go**2) # Homogeneous properties, for Froude/Weber numbers voidage_h = homogeneous(x, rhol, rhog) rho_h = rhol*(1-voidage_h) + rhog*voidage_h Q_h = m/rho_h v_h = Q_h/A Fr = Froude(V=v_h, L=D, squared=True) We = Weber(V=v_h, L=D, rho=rho_h, sigma=sigma) Y2 = dP_go/dP_lo phi_lo2 = Y2*x**3 + (1-x**2.59)**0.632*(1 + 2*x**1.17*(Y2-1) + 0.00775*x**-0.475*Fr**0.535*We**0.188) return phi_lo2*dP_lo def Yu_France(m, x, rhol, rhog, mul, mug, D, roughness=0.0, L=1.0): r'''Calculates two-phase pressure drop with the Yu, France, Wambsganss, and Hull (2002) correlation given in [1]_ and reviewed in [2]_ and [3]_. .. math:: \Delta P = \Delta P_{l} \phi_{l}^2 .. math:: \phi_l^2 = X^{-1.9} .. math:: X = 18.65\left(\frac{\rho_g}{\rho_l}\right)^{0.5}\left(\frac{1-x}{x} \right)\frac{Re_{g}^{0.1}}{Re_l^{0.5}} Parameters ---------- m : float Mass flow rate of fluid, [kg/s] x : float Quality of fluid, [-] rhol : float Liquid density, [kg/m^3] rhog : float Gas density, [kg/m^3] mul : float Viscosity of liquid, [Pa*s] mug : float Viscosity of gas, [Pa*s] D : float Diameter of pipe, [m] roughness : float, optional Roughness of pipe for use in calculating friction factor, [m] L : float, optional Length of pipe, [m] Returns ------- dP : float Pressure drop of the two-phase flow, [Pa] Notes ----- Examples -------- >>> Yu_France(m=0.6, x=.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, ... D=0.05, roughness=0.0, L=1.0) 1146.9833225539571 References ---------- .. [1] Yu, W., D. M. France, M. W. Wambsganss, and J. R. Hull. "Two-Phase Pressure Drop, Boiling Heat Transfer, and Critical Heat Flux to Water in a Small-Diameter Horizontal Tube." International Journal of Multiphase Flow 28, no. 6 (June 2002): 927-41. doi:10.1016/S0301-9322(02)00019-8. .. [2] Kim, Sung-Min, and Issam Mudawar. "Universal Approach to Predicting Two-Phase Frictional Pressure Drop for Adiabatic and Condensing Mini/ Micro-Channel Flows." International Journal of Heat and Mass Transfer 55, no. 11-12 (May 2012): 3246-61. doi:10.1016/j.ijheatmasstransfer.2012.02.047. .. [3] Xu, Yu, Xiande Fang, Xianghui Su, Zhanru Zhou, and Weiwei Chen. "Evaluation of Frictional Pressure Drop Correlations for Two-Phase Flow in Pipes." Nuclear Engineering and Design, SI : CFD4NRS-3, 253 (December 2012): 86-97. doi:10.1016/j.nucengdes.2012.08.007. ''' # Actual Liquid flow v_l = m*(1-x)/rhol/(pi/4*D**2) Re_l = Reynolds(V=v_l, rho=rhol, mu=mul, D=D) fd_l = friction_factor(Re=Re_l, eD=roughness/D) dP_l = fd_l*L/D*(0.5*rhol*v_l**2) # Actual gas flow v_g = m*x/rhog/(pi/4*D**2) Re_g = Reynolds(V=v_g, rho=rhog, mu=mug, D=D) X = 18.65*sqrt(rhog/rhol)*(1-x)/x*Re_g**0.1/sqrt(Re_l) phi_l2 = X**-1.9 return phi_l2*dP_l def Wang_Chiang_Lu(m, x, rhol, rhog, mul, mug, D, roughness=0.0, L=1.0): r'''Calculates two-phase pressure drop with the Wang, Chiang, and Lu (1997) correlation given in [1]_ and reviewed in [2]_ and [3]_. .. math:: \Delta P = \Delta P_{g} \phi_g^2 .. math:: \phi_g^2 = 1 + 9.397X^{0.62} + 0.564X^{2.45} \text{ for } G >= 200 kg/m^2/s .. math:: \phi_g^2 = 1 + CX + X^2 \text{ for lower mass fluxes} .. math:: C = 0.000004566X^{0.128}Re_{lo}^{0.938}\left(\frac{\rho_l}{\rho_g} \right)^{-2.15}\left(\frac{\mu_l}{\mu_g}\right)^{5.1} .. math:: X^2 = \frac{\Delta P_l}{\Delta P_g} Parameters ---------- m : float Mass flow rate of fluid, [kg/s] x : float Quality of fluid, [-] rhol : float Liquid density, [kg/m^3] rhog : float Gas density, [kg/m^3] mul : float Viscosity of liquid, [Pa*s] mug : float Viscosity of gas, [Pa*s] D : float Diameter of pipe, [m] roughness : float, optional Roughness of pipe for use in calculating friction factor, [m] L : float, optional Length of pipe, [m] Returns ------- dP : float Pressure drop of the two-phase flow, [Pa] Notes ----- Examples -------- >>> Wang_Chiang_Lu(m=0.6, x=0.1, rhol=915., rhog=2.67, mul=180E-6, ... mug=14E-6, D=0.05, roughness=0.0, L=1.0) 448.29981978639137 References ---------- .. [1] Wang, Chi-Chuan, Ching-Shan Chiang, and Ding-Chong Lu. "Visual Observation of Two-Phase Flow Pattern of R-22, R-134a, and R-407C in a 6.5-Mm Smooth Tube." Experimental Thermal and Fluid Science 15, no. 4 (November 1, 1997): 395-405. doi:10.1016/S0894-1777(97)00007-1. .. [2] Kim, Sung-Min, and Issam Mudawar. "Universal Approach to Predicting Two-Phase Frictional Pressure Drop for Adiabatic and Condensing Mini/ Micro-Channel Flows." International Journal of Heat and Mass Transfer 55, no. 11-12 (May 2012): 3246-61. doi:10.1016/j.ijheatmasstransfer.2012.02.047. .. [3] Xu, Yu, Xiande Fang, Xianghui Su, Zhanru Zhou, and Weiwei Chen. "Evaluation of Frictional Pressure Drop Correlations for Two-Phase Flow in Pipes." Nuclear Engineering and Design, SI : CFD4NRS-3, 253 (December 2012): 86-97. doi:10.1016/j.nucengdes.2012.08.007. ''' G_tp = m/(pi/4*D**2) # Actual Liquid flow v_l = m*(1-x)/rhol/(pi/4*D**2) Re_l = Reynolds(V=v_l, rho=rhol, mu=mul, D=D) fd_l = friction_factor(Re=Re_l, eD=roughness/D) dP_l = fd_l*L/D*(0.5*rhol*v_l**2) # Actual gas flow v_g = m*x/rhog/(pi/4*D**2) Re_g = Reynolds(V=v_g, rho=rhog, mu=mug, D=D) fd_g = friction_factor(Re=Re_g, eD=roughness/D) dP_g = fd_g*L/D*(0.5*rhog*v_g**2) X = sqrt(dP_l/dP_g) if G_tp >= 200: phi_g2 = 1 + 9.397*X**0.62 + 0.564*X**2.45 else: # Liquid-only flow; Re_lo is oddly needed v_lo = m/rhol/(pi/4*D**2) Re_lo = Reynolds(V=v_lo, rho=rhol, mu=mul, D=D) C = 0.000004566*X**0.128*Re_lo**0.938*(rhol/rhog)**-2.15*(mul/mug)**5.1 phi_g2 = 1 + C*X + X**2 return dP_g*phi_g2 def Hwang_Kim(m, x, rhol, rhog, mul, mug, sigma, D, roughness=0.0, L=1.0): r'''Calculates two-phase pressure drop with the Hwang and Kim (2006) correlation as in [1]_, also presented in [2]_ and [3]_. .. math:: \Delta P = \Delta P_{l} \phi_{l}^2 .. math:: C = 0.227 Re_{lo}^{0.452} X^{-0.32} Co^{-0.82} .. math:: \phi_l^2 = 1 + \frac{C}{X} + \frac{1}{X^2} .. math:: X^2 = \frac{\Delta P_l}{\Delta P_g} Parameters ---------- m : float Mass flow rate of fluid, [kg/s] x : float Quality of fluid, [-] rhol : float Liquid density, [kg/m^3] rhog : float Gas density, [kg/m^3] mul : float Viscosity of liquid, [Pa*s] mug : float Viscosity of gas, [Pa*s] sigma : float Surface tension, [N/m] D : float Diameter of pipe, [m] roughness : float, optional Roughness of pipe for use in calculating friction factor, [m] L : float, optional Length of pipe, [m] Returns ------- dP : float Pressure drop of the two-phase flow, [Pa] Notes ----- Developed with data for microtubes of diameter 0.244 mm and 0.792 mm only. Not likely to be suitable to larger diameters. Examples -------- >>> Hwang_Kim(m=0.0005, x=0.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, ... sigma=0.0487, D=0.003, roughness=0.0, L=1.0) 798.302774184557 References ---------- .. [1] Hwang, Yun Wook, and Min Soo Kim. "The Pressure Drop in Microtubes and the Correlation Development." International Journal of Heat and Mass Transfer 49, no. 11-12 (June 2006): 1804-12. doi:10.1016/j.ijheatmasstransfer.2005.10.040. .. [2] Kim, Sung-Min, and Issam Mudawar. "Universal Approach to Predicting Two-Phase Frictional Pressure Drop for Adiabatic and Condensing Mini/ Micro-Channel Flows." International Journal of Heat and Mass Transfer 55, no. 11-12 (May 2012): 3246-61. doi:10.1016/j.ijheatmasstransfer.2012.02.047. .. [3] Xu, Yu, Xiande Fang, Xianghui Su, Zhanru Zhou, and Weiwei Chen. "Evaluation of Frictional Pressure Drop Correlations for Two-Phase Flow in Pipes." Nuclear Engineering and Design, SI : CFD4NRS-3, 253 (December 2012): 86-97. doi:10.1016/j.nucengdes.2012.08.007. ''' # Liquid-only flow v_lo = m/rhol/(pi/4*D**2) Re_lo = Reynolds(V=v_lo, rho=rhol, mu=mul, D=D) # Actual Liquid flow v_l = m*(1-x)/rhol/(pi/4*D**2) Re_l = Reynolds(V=v_l, rho=rhol, mu=mul, D=D) fd_l = friction_factor(Re=Re_l, eD=roughness/D) dP_l = fd_l*L/D*(0.5*rhol*v_l**2) # Actual gas flow v_g = m*x/rhog/(pi/4*D**2) Re_g = Reynolds(V=v_g, rho=rhog, mu=mug, D=D) fd_g = friction_factor(Re=Re_g, eD=roughness/D) dP_g = fd_g*L/D*(0.5*rhog*v_g**2) # Actual model X = sqrt(dP_l/dP_g) Co = Confinement(D=D, rhol=rhol, rhog=rhog, sigma=sigma) C = 0.227*Re_lo**0.452*X**-0.320*Co**-0.820 phi_l2 = 1 + C/X + 1./X**2 return dP_l*phi_l2 def Zhang_Hibiki_Mishima(m, x, rhol, rhog, mul, mug, sigma, D, roughness=0.0, L=1.0, flowtype='adiabatic vapor'): r'''Calculates two-phase pressure drop with the Zhang, Hibiki, Mishima and (2010) correlation as in [1]_, also presented in [2]_ and [3]_. .. math:: \Delta P = \Delta P_{l} \phi_{l}^2 .. math:: \phi_l^2 = 1 + \frac{C}{X} + \frac{1}{X^2} .. math:: X^2 = \frac{\Delta P_l}{\Delta P_g} For adiabatic liquid-vapor two-phase flow: .. math:: C = 21[1 - \exp(-0.142/Co)] For adiabatic liquid-gas two-phase flow: .. math:: C = 21[1 - \exp(-0.674/Co)] For flow boiling: .. math:: C = 21[1 - \exp(-0.358/Co)] Parameters ---------- m : float Mass flow rate of fluid, [kg/s] x : float Quality of fluid, [-] rhol : float Liquid density, [kg/m^3] rhog : float Gas density, [kg/m^3] mul : float Viscosity of liquid, [Pa*s] mug : float Viscosity of gas, [Pa*s] sigma : float Surface tension, [N/m] D : float Diameter of pipe, [m] roughness : float, optional Roughness of pipe for use in calculating friction factor, [m] L : float, optional Length of pipe, [m] flowtype : str One of 'adiabatic vapor', 'adiabatic gas', or 'flow boiling' Returns ------- dP : float Pressure drop of the two-phase flow, [Pa] Notes ----- Seems fairly reliable. Examples -------- >>> Zhang_Hibiki_Mishima(m=0.0005, x=0.1, rhol=915., rhog=2.67, mul=180E-6, ... mug=14E-6, sigma=0.0487, D=0.003, roughness=0.0, L=1.0) 444.9718476894804 References ---------- .. [1] Zhang, W., T. Hibiki, and K. Mishima. "Correlations of Two-Phase Frictional Pressure Drop and Void Fraction in Mini-Channel." International Journal of Heat and Mass Transfer 53, no. 1-3 (January 15, 2010): 453-65. doi:10.1016/j.ijheatmasstransfer.2009.09.011. .. [2] Kim, Sung-Min, and Issam Mudawar. "Universal Approach to Predicting Two-Phase Frictional Pressure Drop for Adiabatic and Condensing Mini/ Micro-Channel Flows." International Journal of Heat and Mass Transfer 55, no. 11-12 (May 2012): 3246-61. doi:10.1016/j.ijheatmasstransfer.2012.02.047. .. [3] Xu, Yu, Xiande Fang, Xianghui Su, Zhanru Zhou, and Weiwei Chen. "Evaluation of Frictional Pressure Drop Correlations for Two-Phase Flow in Pipes." Nuclear Engineering and Design, SI : CFD4NRS-3, 253 (December 2012): 86-97. doi:10.1016/j.nucengdes.2012.08.007. ''' # Actual Liquid flow v_l = m*(1-x)/rhol/(pi/4*D**2) Re_l = Reynolds(V=v_l, rho=rhol, mu=mul, D=D) fd_l = friction_factor(Re=Re_l, eD=roughness/D) dP_l = fd_l*L/D*(0.5*rhol*v_l**2) # Actual gas flow v_g = m*x/rhog/(pi/4*D**2) Re_g = Reynolds(V=v_g, rho=rhog, mu=mug, D=D) fd_g = friction_factor(Re=Re_g, eD=roughness/D) dP_g = fd_g*L/D*(0.5*rhog*v_g**2) # Actual model X = sqrt(dP_l/dP_g) Co = Confinement(D=D, rhol=rhol, rhog=rhog, sigma=sigma) if flowtype == 'adiabatic vapor': C = 21*(1 - exp(-0.142/Co)) elif flowtype == 'adiabatic gas': C = 21*(1 - exp(-0.674/Co)) elif flowtype == 'flow boiling': C = 21*(1 - exp(-0.358/Co)) else: raise ValueError("Only flow types 'adiabatic vapor', 'adiabatic gas, \ and 'flow boiling' are recognized.") phi_l2 = 1 + C/X + 1./X**2 return dP_l*phi_l2 def Mishima_Hibiki(m, x, rhol, rhog, mul, mug, sigma, D, roughness=0.0, L=1.0): r'''Calculates two-phase pressure drop with the Mishima and Hibiki (1996) correlation as in [1]_, also presented in [2]_ and [3]_. .. math:: \Delta P = \Delta P_{l} \phi_{l}^2 .. math:: C = 21[1 - \exp(-319D)] .. math:: \phi_l^2 = 1 + \frac{C}{X} + \frac{1}{X^2} .. math:: X^2 = \frac{\Delta P_l}{\Delta P_g} Parameters ---------- m : float Mass flow rate of fluid, [kg/s] x : float Quality of fluid, [-] rhol : float Liquid density, [kg/m^3] rhog : float Gas density, [kg/m^3] mul : float Viscosity of liquid, [Pa*s] mug : float Viscosity of gas, [Pa*s] sigma : float Surface tension, [N/m] D : float Diameter of pipe, [m] roughness : float, optional Roughness of pipe for use in calculating friction factor, [m] L : float, optional Length of pipe, [m] Returns ------- dP : float Pressure drop of the two-phase flow, [Pa] Notes ----- Examples -------- >>> Mishima_Hibiki(m=0.6, x=0.1, rhol=915., rhog=2.67, mul=180E-6, ... mug=14E-6, sigma=0.0487, D=0.05, roughness=0.0, L=1.0) 732.4268200606265 References ---------- .. [1] Mishima, K., and T. Hibiki. "Some Characteristics of Air-Water Two- Phase Flow in Small Diameter Vertical Tubes." International Journal of Multiphase Flow 22, no. 4 (August 1, 1996): 703-12. doi:10.1016/0301-9322(96)00010-9. .. [2] Kim, Sung-Min, and Issam Mudawar. "Universal Approach to Predicting Two-Phase Frictional Pressure Drop for Adiabatic and Condensing Mini/ Micro-Channel Flows." International Journal of Heat and Mass Transfer 55, no. 11-12 (May 2012): 3246-61. doi:10.1016/j.ijheatmasstransfer.2012.02.047. .. [3] Xu, Yu, Xiande Fang, Xianghui Su, Zhanru Zhou, and Weiwei Chen. "Evaluation of Frictional Pressure Drop Correlations for Two-Phase Flow in Pipes." Nuclear Engineering and Design, SI : CFD4NRS-3, 253 (December 2012): 86-97. doi:10.1016/j.nucengdes.2012.08.007. ''' # Actual Liquid flow v_l = m*(1-x)/rhol/(pi/4*D**2) Re_l = Reynolds(V=v_l, rho=rhol, mu=mul, D=D) fd_l = friction_factor(Re=Re_l, eD=roughness/D) dP_l = fd_l*L/D*(0.5*rhol*v_l**2) # Actual gas flow v_g = m*x/rhog/(pi/4*D**2) Re_g = Reynolds(V=v_g, rho=rhog, mu=mug, D=D) fd_g = friction_factor(Re=Re_g, eD=roughness/D) dP_g = fd_g*L/D*(0.5*rhog*v_g**2) # Actual model X = sqrt(dP_l/dP_g) C = 21*(1 - exp(-0.319E3*D)) phi_l2 = 1 + C/X + 1./X**2 return dP_l*phi_l2 def friction_factor_Kim_Mudawar(Re): if Re < 2000: return 64./Re elif Re < 20000: return 0.316/sqrt(sqrt(Re)) else: return 0.184*Re**-0.2 def Kim_Mudawar(m, x, rhol, rhog, mul, mug, sigma, D, L=1.0): r'''Calculates two-phase pressure drop with the Kim and Mudawar (2012) correlation as in [1]_, also presented in [2]_. .. math:: \Delta P = \Delta P_{l} \phi_{l}^2 .. math:: \phi_l^2 = 1 + \frac{C}{X} + \frac{1}{X^2} .. math:: X^2 = \frac{\Delta P_l}{\Delta P_g} For turbulent liquid, turbulent gas: .. math:: C = 0.39Re_{lo}^{0.03} Su_{go}^{0.10}\left(\frac{\rho_l}{\rho_g} \right)^{0.35} For turbulent liquid, laminar gas: .. math:: C = 8.7\times 10^{-4} Re_{lo}^{0.17} Su_{go}^{0.50}\left(\frac{\rho_l} {\rho_g}\right)^{0.14} For laminar liquid, turbulent gas: .. math:: C = 0.0015 Re_{lo}^{0.59} Su_{go}^{0.19}\left(\frac{\rho_l}{\rho_g} \right)^{0.36} For laminar liquid, laminar gas: .. math:: C = 3.5\times 10^{-5} Re_{lo}^{0.44} Su_{go}^{0.50}\left(\frac{\rho_l} {\rho_g}\right)^{0.48} This model has its own friction factor calculations, to be consistent with its Reynolds number transition. As their model was regressed with these equations, more error is obtained when using any other friction factor calculation. The laminar equation 64/Re is used up to Re=2000, then the Blasius equation with a coefficient of 0.316, and above Re = 20000, .. math:: f_d = \frac{0.184}{Re^{0.2}} Parameters ---------- m : float Mass flow rate of fluid, [kg/s] x : float Quality of fluid, [-] rhol : float Liquid density, [kg/m^3] rhog : float Gas density, [kg/m^3] mul : float Viscosity of liquid, [Pa*s] mug : float Viscosity of gas, [Pa*s] sigma : float Surface tension, [N/m] D : float Diameter of pipe, [m] L : float, optional Length of pipe, [m] Returns ------- dP : float Pressure drop of the two-phase flow, [Pa] Notes ----- The critical Reynolds number in this model is 2000, with a Reynolds number definition using actual liquid and gas flows. This model also requires liquid-only Reynolds number to be calculated. No attempt to incorporate roughness into the model was made in [1]_. The model was developed with hydraulic diameter from 0.0695 to 6.22 mm, mass velocities 4 to 8528 kg/m^2/s, flow qualities from 0 to 1, reduced pressures from 0.0052 to 0.91, superficial liquid Reynolds numbers up to 79202, superficial gas Reynolds numbers up to 253810, liquid-only Reynolds numbers up to 89798, 7115 data points from 36 sources and working fluids air, CO2, N2, water, ethanol, R12, R22, R134a, R236ea, R245fa, R404A, R407C, propane, methane, and ammonia. Examples -------- >>> Kim_Mudawar(m=0.6, x=0.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, ... sigma=0.0487, D=0.05, L=1.0) 840.4137796786074 References ---------- .. [1] Kim, Sung-Min, and Issam Mudawar. "Universal Approach to Predicting Two-Phase Frictional Pressure Drop for Adiabatic and Condensing Mini/ Micro-Channel Flows." International Journal of Heat and Mass Transfer 55, no. 11-12 (May 2012): 3246-61. doi:10.1016/j.ijheatmasstransfer.2012.02.047. .. [2] Kim, Sung-Min, and Issam Mudawar. "Review of Databases and Predictive Methods for Pressure Drop in Adiabatic, Condensing and Boiling Mini/Micro-Channel Flows." International Journal of Heat and Mass Transfer 77 (October 2014): 74-97. doi:10.1016/j.ijheatmasstransfer.2014.04.035. ''' # Actual Liquid flow v_l = m*(1-x)/rhol/(pi/4*D**2) Re_l = Reynolds(V=v_l, rho=rhol, mu=mul, D=D) fd_l = friction_factor_Kim_Mudawar(Re=Re_l) dP_l = fd_l*L/D*(0.5*rhol*v_l**2) # Actual gas flow v_g = m*x/rhog/(pi/4*D**2) Re_g = Reynolds(V=v_g, rho=rhog, mu=mug, D=D) fd_g = friction_factor_Kim_Mudawar(Re=Re_g) dP_g = fd_g*L/D*(0.5*rhog*v_g**2) # Liquid-only flow v_lo = m/rhol/(pi/4*D**2) Re_lo = Reynolds(V=v_lo, rho=rhol, mu=mul, D=D) Su = Suratman(L=D, rho=rhog, mu=mug, sigma=sigma) X = sqrt(dP_l/dP_g) Re_c = 2000 # Transition Reynolds number if Re_l < Re_c and Re_g < Re_c: C = 3.5E-5*Re_lo**0.44*sqrt(Su)*(rhol/rhog)**0.48 elif Re_l < Re_c and Re_g >= Re_c: C = 0.0015*Re_lo**0.59*Su**0.19*(rhol/rhog)**0.36 elif Re_l >= Re_c and Re_g < Re_c: C = 8.7E-4*Re_lo**0.17*sqrt(Su)*(rhol/rhog)**0.14 else: # Turbulent case C = 0.39*Re_lo**0.03*Su**0.10*(rhol/rhog)**0.35 phi_l2 = 1 + C/X + 1./X**2 return dP_l*phi_l2 def Lockhart_Martinelli(m, x, rhol, rhog, mul, mug, D, L=1.0, Re_c=2000.0): r'''Calculates two-phase pressure drop with the Lockhart and Martinelli (1949) correlation as presented in non-graphical form by Chisholm (1967). .. math:: \Delta P = \Delta P_{l} \phi_{l}^2 .. math:: \phi_l^2 = 1 + \frac{C}{X} + \frac{1}{X^2} .. math:: X^2 = \frac{\Delta P_l}{\Delta P_g} +---------+---------+--+ |Liquid |Gas |C | +=========+=========+==+ |Turbulent|Turbulent|20| +---------+---------+--+ |Laminar |Turbulent|12| +---------+---------+--+ |Turbulent|Laminar |10| +---------+---------+--+ |Laminar |Laminar |5 | +---------+---------+--+ This model has its own friction factor calculations, to be consistent with its Reynolds number transition and the procedure specified in the original work. The equation 64/Re is used up to Re_c, and above it the Blasius equation is used as follows: .. math:: f_d = \frac{0.184}{Re^{0.2}} Parameters ---------- m : float Mass flow rate of fluid, [kg/s] x : float Quality of fluid, [-] rhol : float Liquid density, [kg/m^3] rhog : float Gas density, [kg/m^3] mul : float Viscosity of liquid, [Pa*s] mug : float Viscosity of gas, [Pa*s] D : float Diameter of pipe, [m] L : float, optional Length of pipe, [m] Re_c : float, optional Transition Reynolds number, used to decide which friction factor equation to use and which C value to use from the table above. Returns ------- dP : float Pressure drop of the two-phase flow, [Pa] Notes ----- Developed for horizontal flow. Very popular. Many implementations of this model assume turbulent-turbulent flow. The original model proposed that the transition Reynolds number was 1000 for laminar flow, and 2000 for turbulent flow; it proposed no model for Re_l < 1000 and Re_g between 1000 and 2000 and also Re_g < 1000 and Re_l between 1000 and 2000. No correction is available in this model for rough pipe. [3]_ examined the original data in [1]_ again, and fit more curves to the data, separating them into different flow regimes. There were 229 datum in the turbulent-turbulent regime, 9 in the turbulent-laminar regime, 339 in the laminar-turbulent regime, and 42 in the laminar-laminar regime. Errors from [3]_'s curves were 13.4%, 3.5%, 14.3%, and 12.0% for the above regimes, respectively. [2]_'s fits provide further error. Examples -------- >>> Lockhart_Martinelli(m=0.6, x=0.1, rhol=915., rhog=2.67, mul=180E-6, ... mug=14E-6, D=0.05, L=1.0) 716.4695654888484 References ---------- .. [1] Lockhart, R. W. & Martinelli, R. C. (1949), "Proposed correlation of data for isothermal two-phase, two-component flow in pipes", Chemical Engineering Progress 45 (1), 39-48. .. [2] Chisholm, D."A Theoretical Basis for the Lockhart-Martinelli Correlation for Two-Phase Flow." International Journal of Heat and Mass Transfer 10, no. 12 (December 1967): 1767-78. doi:10.1016/0017-9310(67)90047-6. .. [3] Cui, Xiaozhou, and John J. J. Chen."A Re-Examination of the Data of Lockhart-Martinelli." International Journal of Multiphase Flow 36, no. 10 (October 2010): 836-46. doi:10.1016/j.ijmultiphaseflow.2010.06.001. .. [4] Kim, Sung-Min, and Issam Mudawar. "Universal Approach to Predicting Two-Phase Frictional Pressure Drop for Adiabatic and Condensing Mini/ Micro-Channel Flows." International Journal of Heat and Mass Transfer 55, no. 11-12 (May 2012): 3246-61. doi:10.1016/j.ijheatmasstransfer.2012.02.047. ''' v_l = m*(1-x)/rhol/(pi/4*D**2) Re_l = Reynolds(V=v_l, rho=rhol, mu=mul, D=D) v_g = m*x/rhog/(pi/4*D**2) Re_g = Reynolds(V=v_g, rho=rhog, mu=mug, D=D) if Re_l < Re_c and Re_g < Re_c: C = 5.0 elif Re_l < Re_c and Re_g >= Re_c: # Liquid laminar, gas turbulent C = 12.0 elif Re_l >= Re_c and Re_g < Re_c: # Liquid turbulent, gas laminar C = 10.0 else: # Turbulent case C = 20.0 # Frictoin factor as in the original model fd_l = 64./Re_l if Re_l < Re_c else 0.184*Re_l**-0.2 dP_l = fd_l*L/D*(0.5*rhol*v_l**2) fd_g = 64./Re_g if Re_g < Re_c else 0.184*Re_g**-0.2 dP_g = fd_g*L/D*(0.5*rhog*v_g**2) X = sqrt(dP_l/dP_g) phi_l2 = 1 + C/X + 1./X**2 return dP_l*phi_l2 two_phase_correlations = { # 0 index, args are: m, x, rhol, mul, P, Pc, D, roughness=0.0, L=1 'Zhang_Webb': (Zhang_Webb, 0), # 1 index, args are: m, x, rhol, rhog, mul, mug, D, L=1 'Lockhart_Martinelli': (Lockhart_Martinelli, 1), # 2 index, args are: m, x, rhol, rhog, mul, mug, D, roughness=0.0, L=1 'Bankoff': (Bankoff, 2), 'Baroczy_Chisholm': (Baroczy_Chisholm, 2), 'Chisholm': (Chisholm, 2), 'Gronnerud': (Gronnerud, 2), 'Jung_Radermacher': (Jung_Radermacher, 2), 'Muller_Steinhagen_Heck': (Muller_Steinhagen_Heck, 2), 'Theissing': (Theissing, 2), 'Wang_Chiang_Lu': (Wang_Chiang_Lu, 2), 'Yu_France': (Yu_France, 2), # 3 index, args are: m, x, rhol, rhog, mul, mug, sigma, D, L=1 'Kim_Mudawar': (Kim_Mudawar, 3), # 4 index, args are: m, x, rhol, rhog, mul, mug, sigma, D, roughness=0.0, L=1 'Friedel': (Friedel, 4), 'Hwang_Kim': (Hwang_Kim, 4), 'Mishima_Hibiki': (Mishima_Hibiki, 4), 'Tran': (Tran, 4), 'Xu_Fang': (Xu_Fang, 4), 'Zhang_Hibiki_Mishima': (Zhang_Hibiki_Mishima, 4), 'Chen_Friedel': (Chen_Friedel, 4), # 5 index: args are m, x, rhol, rhog, sigma, D, L=1 'Lombardi_Pedrocchi': (Lombardi_Pedrocchi, 5), # Misc indexes: 'Chisholm rough': (Chisholm, 101), 'Zhang_Hibiki_Mishima adiabatic gas': (Zhang_Hibiki_Mishima, 102), 'Zhang_Hibiki_Mishima flow boiling': (Zhang_Hibiki_Mishima, 103), 'Beggs-Brill': (Beggs_Brill, 104) } _unknown_msg_two_phase = "Unknown method; available methods are %s" %(list(two_phase_correlations.keys())) def two_phase_dP_methods(m, x, rhol, D, L=1.0, rhog=None, mul=None, mug=None, sigma=None, P=None, Pc=None, roughness=0.0, angle=0, check_ranges=False): r'''This function returns a list of names of correlations for two-phase liquid-gas pressure drop for flow inside channels. 24 calculation methods are available, with varying input requirements. Parameters ---------- m : float Mass flow rate of fluid, [kg/s] x : float Quality of fluid, [-] rhol : float Liquid density, [kg/m^3] D : float Diameter of pipe, [m] L : float, optional Length of pipe, [m] rhog : float, optional Gas density, [kg/m^3] mul : float, optional Viscosity of liquid, [Pa*s] mug : float, optional Viscosity of gas, [Pa*s] sigma : float, optional Surface tension, [N/m] P : float, optional Pressure of fluid, [Pa] Pc : float, optional Critical pressure of fluid, [Pa] roughness : float, optional Roughness of pipe for use in calculating friction factor, [m] angle : float, optional The angle of the pipe with respect to the horizontal, [degrees] check_ranges : bool, optional Added for Future use only Returns ------- methods : list List of methods which can be used to calculate two-phase pressure drop with the given inputs. Examples -------- >>> len(two_phase_dP_methods(m=0.6, x=0.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, sigma=0.0487, D=0.05, L=1.0, angle=30.0, roughness=1e-4, P=1e5, Pc=1e6)) 24 ''' usable_indices = [] if rhog is not None and sigma is not None: usable_indices.append(5) if rhog is not None and sigma is not None and mul is not None and mug is not None: usable_indices.extend([4, 3, 102, 103]) # Differs only in the addition of roughness if rhog is not None and mul is not None and mug is not None: usable_indices.extend([1,2, 101]) # Differs only in the addition of roughness if mul is not None and P is not None and Pc is not None: usable_indices.append(0) if (rhog is not None and mul is not None and mug is not None and sigma is not None and P is not None and angle is not None): usable_indices.append(104) return [key for key, value in two_phase_correlations.items() if value[1] in usable_indices] def two_phase_dP(m, x, rhol, D, L=1.0, rhog=None, mul=None, mug=None, sigma=None, P=None, Pc=None, roughness=0.0, angle=None, Method=None): r'''This function handles calculation of two-phase liquid-gas pressure drop for flow inside channels. 23 calculation methods are available, with varying input requirements. A correlation will be automatically selected if none is specified. The full list of correlation can be obtained with the `AvailableMethods` flag. If no correlation is selected, the following rules are used, with the earlier options attempted first: * If rhog, mul, mug, and sigma are specified, use the Kim_Mudawar model * If rhog, mul, and mug are specified, use the Chisholm model * If mul, P, and Pc are specified, use the Zhang_Webb model * If rhog and sigma are specified, use the Lombardi_Pedrocchi model Parameters ---------- m : float Mass flow rate of fluid, [kg/s] x : float Quality of fluid, [-] rhol : float Liquid density, [kg/m^3] D : float Diameter of pipe, [m] L : float, optional Length of pipe, [m] rhog : float, optional Gas density, [kg/m^3] mul : float, optional Viscosity of liquid, [Pa*s] mug : float, optional Viscosity of gas, [Pa*s] sigma : float, optional Surface tension, [N/m] P : float, optional Pressure of fluid, [Pa] Pc : float, optional Critical pressure of fluid, [Pa] roughness : float, optional Roughness of pipe for use in calculating friction factor, [m] angle : float, optional The angle of the pipe with respect to the horizontal, [degrees] Returns ------- dP : float Pressure drop of the two-phase flow, [Pa] Other Parameters ---------------- Method : string, optional A string of the function name to use, as in the dictionary two_phase_correlations. Notes ----- These functions may be integrated over, with properties recalculated as the fluid's quality changes. This model considers only the frictional pressure drop, not that due to gravity or acceleration. Examples -------- >>> two_phase_dP(m=0.6, x=0.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, ... sigma=0.0487, D=0.05, L=1.0) 840.4137796786074 ''' if Method is None: if rhog is not None and mul is not None and mug is not None and sigma is not None: Method2 = 'Kim_Mudawar' # Kim_Mudawar preferred elif rhog is not None and mul is not None and mug is not None: Method2 = 'Chisholm' # Second choice, indexes 1 or 2 elif mul is not None and P is not None and Pc is not None: Method2 = 'Zhang_Webb' # Not a good choice elif rhog is not None and sigma is not None: Method2 = 'Lombardi_Pedrocchi' # Last try else: raise ValueError('All possible methods require more information \ than provided; provide more inputs!') else: Method2 = Method if Method2 == "Zhang_Webb": return Zhang_Webb(m=m, x=x, rhol=rhol, mul=mul, P=P, Pc=Pc, D=D, roughness=roughness, L=L) elif Method2 == "Lockhart_Martinelli": return Lockhart_Martinelli(m=m, x=x, rhol=rhol, rhog=rhog, mul=mul, mug=mug, D=D, L=L) elif Method2 == "Bankoff": return Bankoff(m=m, x=x, rhol=rhol, rhog=rhog, mul=mul, mug=mug, D=D, roughness=roughness, L=L) elif Method2 == "Baroczy_Chisholm": return Baroczy_Chisholm(m=m, x=x, rhol=rhol, rhog=rhog, mul=mul, mug=mug, D=D, roughness=roughness, L=L) elif Method2 == "Chisholm": return Chisholm(m=m, x=x, rhol=rhol, rhog=rhog, mul=mul, mug=mug, D=D, roughness=roughness, L=L) elif Method2 == "Gronnerud": return Gronnerud(m=m, x=x, rhol=rhol, rhog=rhog, mul=mul, mug=mug, D=D, roughness=roughness, L=L) elif Method2 == "Jung_Radermacher": return Jung_Radermacher(m=m, x=x, rhol=rhol, rhog=rhog, mul=mul, mug=mug, D=D, roughness=roughness, L=L) elif Method2 == "Muller_Steinhagen_Heck": return Muller_Steinhagen_Heck(m=m, x=x, rhol=rhol, rhog=rhog, mul=mul, mug=mug, D=D, roughness=roughness, L=L) elif Method2 == "Theissing": return Theissing(m=m, x=x, rhol=rhol, rhog=rhog, mul=mul, mug=mug, D=D, roughness=roughness, L=L) elif Method2 == "Wang_Chiang_Lu": return Wang_Chiang_Lu(m=m, x=x, rhol=rhol, rhog=rhog, mul=mul, mug=mug, D=D, roughness=roughness, L=L) elif Method2 == "Yu_France": return Yu_France(m=m, x=x, rhol=rhol, rhog=rhog, mul=mul, mug=mug, D=D, roughness=roughness, L=L) elif Method2 == "Kim_Mudawar": return Kim_Mudawar(m=m, x=x, rhol=rhol, rhog=rhog, mul=mul, mug=mug, sigma=sigma, D=D, L=L) elif Method2 == "Friedel": return Friedel(m=m, x=x, rhol=rhol, rhog=rhog, mul=mul, mug=mug, sigma=sigma, D=D, roughness=roughness, L=L) elif Method2 == "Hwang_Kim": return Hwang_Kim(m=m, x=x, rhol=rhol, rhog=rhog, mul=mul, mug=mug, sigma=sigma, D=D, roughness=roughness, L=L) elif Method2 == "Mishima_Hibiki": return Mishima_Hibiki(m=m, x=x, rhol=rhol, rhog=rhog, mul=mul, mug=mug, sigma=sigma, D=D, roughness=roughness, L=L) elif Method2 == "Tran": return Tran(m=m, x=x, rhol=rhol, rhog=rhog, mul=mul, mug=mug, sigma=sigma, D=D, roughness=roughness, L=L) elif Method2 == "Xu_Fang": return Xu_Fang(m=m, x=x, rhol=rhol, rhog=rhog, mul=mul, mug=mug, sigma=sigma, D=D, roughness=roughness, L=L) elif Method2 == "Zhang_Hibiki_Mishima": return Zhang_Hibiki_Mishima(m=m, x=x, rhol=rhol, rhog=rhog, mul=mul, mug=mug, sigma=sigma, D=D, roughness=roughness, L=L) elif Method2 == "Chen_Friedel": return Chen_Friedel(m=m, x=x, rhol=rhol, rhog=rhog, mul=mul, mug=mug, sigma=sigma, D=D, roughness=roughness, L=L) elif Method2 == "Lombardi_Pedrocchi": return Lombardi_Pedrocchi(m=m, x=x, rhol=rhol, rhog=rhog, sigma=sigma, D=D, L=L) elif Method2 == "Chisholm rough": return Chisholm(m=m, x=x, rhol=rhol, rhog=rhog, mul=mul, mug=mug, D=D, L=L, roughness=roughness, rough_correction=True) elif Method2 == "Zhang_Hibiki_Mishima adiabatic gas": return Zhang_Hibiki_Mishima(m=m, x=x, rhol=rhol, rhog=rhog, mul=mul, mug=mug, sigma=sigma, D=D, L=L, roughness=roughness, flowtype='adiabatic gas') elif Method2 == "Zhang_Hibiki_Mishima flow boiling": return Zhang_Hibiki_Mishima(m=m, x=x, rhol=rhol, rhog=rhog, mul=mul, mug=mug, sigma=sigma, D=D, L=L, roughness=roughness, flowtype='flow boiling') elif Method2 == "Beggs-Brill": return Beggs_Brill(m=m, x=x, rhol=rhol, rhog=rhog, mul=mul, mug=mug, sigma=sigma, P=P, D=D, angle=angle, L=L, roughness=roughness, acceleration=False, g=g) else: raise ValueError(_unknown_msg_two_phase) def two_phase_dP_acceleration(m, D, xi, xo, alpha_i, alpha_o, rho_li, rho_gi, rho_lo=None, rho_go=None): r'''This function handles calculation of two-phase liquid-gas pressure drop due to acceleration for flow inside channels. This is a discrete calculation for a segment with a known difference in quality (and ideally known inlet and outlet pressures so density dependence can be included). .. math:: \Delta P_{acc} = G^2\left\{\left[\frac{(1-x_o)^2}{\rho_{l,o} (1-\alpha_o)} + \frac{x_o^2}{\rho_{g,o}\alpha_o} \right] - \left[\frac{(1-x_i)^2}{\rho_{l,i}(1-\alpha_i)} + \frac{x_i^2}{\rho_{g,i}\alpha_i} \right]\right\} Parameters ---------- m : float Mass flow rate of fluid, [kg/s] D : float Diameter of pipe, [m] xi : float Quality of fluid at inlet, [-] xo : float Quality of fluid at outlet, [-] alpha_i : float Void fraction at inlet (area of gas / total area of channel), [-] alpha_o : float Void fraction at outlet (area of gas / total area of channel), [-] rho_li : float Liquid phase density at inlet, [kg/m^3] rho_gi : float Gas phase density at inlet, [kg/m^3] rho_lo : float, optional Liquid phase density at outlet, [kg/m^3] rho_go : float, optional Gas phase density at outlet, [kg/m^3] Returns ------- dP : float Acceleration component of pressure drop for two-phase flow, [Pa] Notes ----- The use of different gas and liquid phase densities at the inlet and outlet is optional; the outlet densities conditions will be assumed to be those of the inlet if they are not specified. There is a continuous variant of this method which can be integrated over, at the expense of a speed. The differential form of this is as follows ([1]_, [3]_): .. math:: - \left(\frac{d P}{dz}\right)_{acc} = G^2 \frac{d}{dz} \left[\frac{ (1-x)^2}{\rho_l(1-\alpha)} + \frac{x^2}{\rho_g\alpha}\right] Examples -------- >>> two_phase_dP_acceleration(m=1, D=0.1, xi=0.372, xo=0.557, rho_li=827.1, ... rho_gi=3.919, alpha_i=0.992, alpha_o=0.996) 706.8560377214725 References ---------- .. [1] Rohsenow, Warren and James Hartnett and Young Cho. Handbook of Heat Transfer, 3E. New York: McGraw-Hill, 1998. .. [2] Awad, M. M., and Y. S. Muzychka. "Effective Property Models for Homogeneous Two-Phase Flows." Experimental Thermal and Fluid Science 33, no. 1 (October 1, 2008): 106-13. doi:10.1016/j.expthermflusci.2008.07.006. .. [3] Kim, Sung-Min, and Issam Mudawar. "Review of Databases and Predictive Methods for Pressure Drop in Adiabatic, Condensing and Boiling Mini/Micro-Channel Flows." International Journal of Heat and Mass Transfer 77 (October 2014): 74-97. doi:10.1016/j.ijheatmasstransfer.2014.04.035. ''' G = 4*m/(pi*D*D) if rho_lo is None: rho_lo = rho_li if rho_go is None: rho_go = rho_gi in_term = (1.-xi)**2/(rho_li*(1.-alpha_i)) + xi*xi/(rho_gi*alpha_i) out_term = (1.-xo)**2/(rho_lo*(1.-alpha_o)) + xo*xo/(rho_go*alpha_o) return G*G*(out_term - in_term) def two_phase_dP_dz_acceleration(m, D, x, rhol, rhog, dv_dP_l, dv_dP_g, dx_dP, dP_dL, dA_dL): r'''This function handles calculation of two-phase liquid-gas pressure drop due to acceleration for flow inside channels. This is a continuous calculation, providing the differential in pressure per unit length and should be called as part of an integration routine ([1]_, [2]_, [3]_). .. math:: -\left(\frac{\partial P}{\partial L}\right)_{A} = G^2 \left(\left(\frac{1}{\rho_g} - \frac{1}{\rho_l}\right)\frac{\partial P} {\partial L}\frac{\partial x}{\partial P} + \frac{\partial P}{\partial L}\left[x \frac{\partial (1/\rho_g)} {\partial P} + (1-x) \frac{\partial (1/\rho_l)}{\partial P} \right] \right) - \frac{G^2}{\rho_{hom}}\frac{1}{A}\frac{\partial A} {\partial L} Parameters ---------- m : float Mass flow rate of fluid, [kg/s] D : float Diameter of pipe, [m] x : float Quality of fluid [-] rhol : float Liquid density, [kg/m^3] rhog : float Gas density, [kg/m^3] dv_dP_l : float Derivative of mass specific volume of the liquid phase with respect to pressure, [m^3/(kg*Pa)] dv_dP_g : float Derivative of mass specific volume of the gas phase with respect to pressure, [m^3/(kg*Pa)] dx_dP : float Derivative of mass quality of the two-phase fluid with respect to pressure (numerical derivatives may be convenient for this), [1/Pa] dP_dL : float Pressure drop per unit length of pipe, [Pa/m] dA_dL : float Change in area of pipe per unit length of pipe, [m^2/m] Returns ------- dP_dz : float Acceleration component of pressure drop for two-phase flow, [Pa/m] Notes ----- This calculation has the `homogeneous` model built in to it as its derivation is shown in [1]_. The discrete calculation is more flexible as different void fractions may be used. Examples -------- >>> two_phase_dP_dz_acceleration(m=1, D=0.1, x=0.372, rhol=827.1, ... rhog=3.919, dv_dP_l=-5e-12, dv_dP_g=-4e-7, dx_dP=-2e-7, dP_dL=120.0, ... dA_dL=0.0001) 20.137876617489034 References ---------- .. [1] Shoham, Ovadia. Mechanistic Modeling of Gas-Liquid Two-Phase Flow in Pipes. Pap/Cdr edition. Richardson, TX: Society of Petroleum Engineers, 2006. .. [2] Rohsenow, Warren and James Hartnett and Young Cho. Handbook of Heat Transfer, 3E. New York: McGraw-Hill, 1998. .. [3] Kim, Sung-Min, and Issam Mudawar. "Review of Databases and Predictive Methods for Pressure Drop in Adiabatic, Condensing and Boiling Mini/Micro-Channel Flows." International Journal of Heat and Mass Transfer 77 (October 2014): 74-97. doi:10.1016/j.ijheatmasstransfer.2014.04.035. ''' A = 0.25*pi*D*D G = m/A t1 = (1.0/rhog - 1.0/rhol)*dP_dL*dx_dP + dP_dL*(x*dv_dP_g + (1.0 - x)*dv_dP_l) voidage_h = homogeneous(x, rhol, rhog) rho_h = rhol*(1.0 - voidage_h) + rhog*voidage_h return -G*G*(t1 - dA_dL/(rho_h*A)) def two_phase_dP_gravitational(angle, z, alpha_i, rho_li, rho_gi, alpha_o=None, rho_lo=None, rho_go=None, g=g): r'''This function handles calculation of two-phase liquid-gas pressure drop due to gravitation for flow inside channels. This is a discrete calculation for a segment with a known difference in elevation (and ideally known inlet and outlet pressures so density dependence can be included). .. math:: - \Delta P_{grav} = g \sin \theta z \left\{\frac{ [\alpha_o\rho_{g,o} + (1-\alpha_o)\rho_{l,o}] + [\alpha_i\rho_{g,i} + (1-\alpha_i)\rho_{l,i}]} {2}\right\} Parameters ---------- angle : float The angle of the pipe with respect to the horizontal, [degrees] z : float The total length of the pipe, [m] alpha_i : float Void fraction at inlet (area of gas / total area of channel), [-] rho_li : float Liquid phase density at inlet, [kg/m^3] rho_gi : float Gas phase density at inlet, [kg/m^3] alpha_o : float, optional Void fraction at outlet (area of gas / total area of channel), [-] rho_lo : float, optional Liquid phase density at outlet, [kg/m^3] rho_go : float, optional Gas phase density at outlet, [kg/m^3] g : float, optional Acceleration due to gravity, [m/s^2] Returns ------- dP : float Gravitational component of pressure drop for two-phase flow, [Pa] Notes ----- The use of different gas and liquid phase densities and void fraction at the inlet and outlet is optional; the outlet densities and void fraction will be assumed to be those of the inlet if they are not specified. This does not add much accuracy. There is a continuous variant of this method which can be integrated over, at the expense of a speed. The differential form of this is as follows ([1]_, [2]_): .. math:: -\left(\frac{dP}{dz} \right)_{grav} = [\alpha\rho_g + (1-\alpha) \rho_l]g \sin \theta Examples -------- Example calculation, page 13-2 from [3]_: >>> two_phase_dP_gravitational(angle=90, z=2, alpha_i=0.9685, rho_li=1518., ... rho_gi=2.6) 987.237416829999 The same calculation, but using average inlet and outlet conditions: >>> two_phase_dP_gravitational(angle=90, z=2, alpha_i=0.9685, rho_li=1518., ... rho_gi=2.6, alpha_o=0.968, rho_lo=1517.9, rho_go=2.59) 994.5416058829999 References ---------- .. [1] Rohsenow, Warren and James Hartnett and Young Cho. Handbook of Heat Transfer, 3E. New York: McGraw-Hill, 1998. .. [2] Kim, Sung-Min, and Issam Mudawar. "Review of Databases and Predictive Methods for Pressure Drop in Adiabatic, Condensing and Boiling Mini/Micro-Channel Flows." International Journal of Heat and Mass Transfer 77 (October 2014): 74-97. doi:10.1016/j.ijheatmasstransfer.2014.04.035. .. [3] Thome, John R. "Engineering Data Book III." Wolverine Tube Inc (2004). http://www.wlv.com/heat-transfer-databook/ ''' if rho_lo is None: rho_lo = rho_li if rho_go is None: rho_go = rho_gi if alpha_o is None: alpha_o = alpha_i angle = radians(angle) in_term = alpha_i*rho_gi + (1. - alpha_i)*rho_li out_term = alpha_o*rho_go + (1. - alpha_o)*rho_lo return g*z*sin(angle)*(out_term + in_term)/2. def two_phase_dP_dz_gravitational(angle, alpha, rhol, rhog, g=g): r'''This function handles calculation of two-phase liquid-gas pressure drop due to gravitation for flow inside channels. This is a differential calculation for a segment with an infinitesimal difference in elevation for use in performing integration over a pipe as shown in [1]_ and [2]_. .. math:: -\left(\frac{dP}{dz} \right)_{grav} = [\alpha\rho_g + (1-\alpha) \rho_l]g \sin \theta Parameters ---------- angle : float The angle of the pipe with respect to the horizontal, [degrees] alpha : float Void fraction (area of gas / total area of channel), [-] rhol : float Liquid phase density, [kg/m^3] rhog : float Gas phase density, [kg/m^3] g : float, optional Acceleration due to gravity, [m/s^2] Returns ------- dP_dz : float Gravitational component of pressure drop for two-phase flow, [Pa/m] Notes ----- Examples -------- >>> two_phase_dP_dz_gravitational(angle=90, alpha=0.9685, rhol=1518, ... rhog=2.6) 493.6187084149995 References ---------- .. [1] Rohsenow, Warren and James Hartnett and Young Cho. Handbook of Heat Transfer, 3E. New York: McGraw-Hill, 1998. .. [2] Kim, Sung-Min, and Issam Mudawar. "Review of Databases and Predictive Methods for Pressure Drop in Adiabatic, Condensing and Boiling Mini/Micro-Channel Flows." International Journal of Heat and Mass Transfer 77 (October 2014): 74-97. doi:10.1016/j.ijheatmasstransfer.2014.04.035. ''' angle = radians(angle) return g*sin(angle)*(alpha*rhog + (1. - alpha)*rhol) Dukler_XA_tck = implementation_optimize_tck([[-2.4791105294648372, -2.4791105294648372, -2.4791105294648372, -2.4791105294648372, 0.14360803483759585, 1.7199938263676038, 1.7199938263676038, 1.7199938263676038, 1.7199938263676038], [0.21299880246561081, 0.16299733301915248, -0.042340970712679615, -1.9967836909384598, -2.9917366639619414, 0.0, 0.0, 0.0, 0.0], 3]) Dukler_XC_tck = implementation_optimize_tck([[-1.8323873272724698, -1.8323873272724698, -1.8323873272724698, -1.8323873272724698, -0.15428198203334137, 1.7031193462360779, 1.7031193462360779, 1.7031193462360779, 1.7031193462360779], [0.2827776229531682, 0.6207113329042158, 1.0609541626742232, 0.44917638072891825, 0.014664597632360495, 0.0, 0.0, 0.0, 0.0], 3]) Dukler_XD_tck = implementation_optimize_tck([[0.2532652936901574, 0.2532652936901574, 0.2532652936901574, 0.2532652936901574, 3.5567847823070253, 3.5567847823070253, 3.5567847823070253, 3.5567847823070253], [0.09054274779541564, -0.05102629221303253, -0.23907463153703945, -0.7757156285450911, 0.0, 0.0, 0.0, 0.0], 3]) XA_interp_obj = lambda x: 10**float(splev(log10(x), Dukler_XA_tck)) XC_interp_obj = lambda x: 10**float(splev(log10(x), Dukler_XC_tck)) XD_interp_obj = lambda x: 10**float(splev(log10(x), Dukler_XD_tck)) def Taitel_Dukler_regime(m, x, rhol, rhog, mul, mug, D, angle, roughness=0.0, g=g): r'''Classifies the regime of a two-phase flow according to Taitel and Dukler (1976) ([1]_, [2]_). The flow regimes in this method are 'annular', 'bubbly', 'intermittent', 'stratified wavy', and 'stratified smooth'. The four dimensionless parameters used are 'X', 'T', 'F', and 'K'. .. math:: X = \left[\frac{(dP/dL)_{l,s,f}}{(dP/dL)_{g,s,f}}\right]^{0.5} .. math:: T = \left[\frac{(dP/dL)_{l,s,f}}{(\rho_l-\rho_g)g\cos\theta}\right]^{0.5} .. math:: F = \sqrt{\frac{\rho_g}{(\rho_l-\rho_g)}} \frac{v_{g,s}}{\sqrt{D g \cos\theta}} .. math:: K = F\left[\frac{D v_{l,s}}{\nu_l} \right]^{0.5} = F \sqrt{Re_{l,s}} Note that 'l' refers to liquid, 'g' gas, 'f' friction-only, and 's' superficial (i.e. if only the mass flow of that phase were flowing in the pipe). Parameters ---------- m : float Mass flow rate of fluid, [kg/s] x : float Mass quality of fluid, [-] rhol : float Liquid density, [kg/m^3] rhog : float Gas density, [kg/m^3] mul : float Viscosity of liquid, [Pa*s] mug : float Viscosity of gas, [Pa*s] D : float Diameter of pipe, [m] angle : float The angle of the pipe with respect to the horizontal, [degrees] roughness : float, optional Roughness of pipe for use in calculating friction factor, [m] g : float, optional Acceleration due to gravity, [m/s^2] Returns ------- regime : str One of 'annular', 'bubbly', 'intermittent', 'stratified wavy', 'stratified smooth', [-] X : float `X` dimensionless group used in the calculation, [-] T : float `T` dimensionless group used in the calculation, [-] F : float `F` dimensionless group used in the calculation, [-] K : float `K` dimensionless group used in the calculation, [-] Notes ----- The original friction factor used in this model is that of Blasius. Examples -------- >>> Taitel_Dukler_regime(m=0.6, x=0.112, rhol=915.12, rhog=2.67, ... mul=180E-6, mug=14E-6, D=0.05, roughness=0.0, angle=0)[0] 'annular' References ---------- .. [1] Taitel, Yemada, and A. E. Dukler. "A Model for Predicting Flow Regime Transitions in Horizontal and near Horizontal Gas-Liquid Flow." AIChE Journal 22, no. 1 (January 1, 1976): 47-55. doi:10.1002/aic.690220105. .. [2] Brill, James P., and Howard Dale Beggs. Two-Phase Flow in Pipes, 1994. .. [3] Shoham, Ovadia. Mechanistic Modeling of Gas-Liquid Two-Phase Flow in Pipes. Pap/Cdr edition. Richardson, TX: Society of Petroleum Engineers, 2006. ''' angle = radians(angle) A = 0.25*pi*D*D # Liquid-superficial properties, for calculation of dP_ls, dP_ls # Paper and Brill Beggs 1991 confirms not v_lo but v_sg v_ls = m*(1.0 - x)/(rhol*A) Re_ls = Reynolds(V=v_ls, rho=rhol, mu=mul, D=D) fd_ls = friction_factor(Re=Re_ls, eD=roughness/D) dP_ls = fd_ls/D*(0.5*rhol*v_ls*v_ls) # Gas-superficial properties, for calculation of dP_gs v_gs = m*x/(rhog*A) Re_gs = Reynolds(V=v_gs, rho=rhog, mu=mug, D=D) fd_gs = friction_factor(Re=Re_gs, eD=roughness/D) dP_gs = fd_gs/D*(0.5*rhog*v_gs*v_gs) X = sqrt(dP_ls/dP_gs) F = sqrt(rhog/(rhol-rhog))*v_gs/sqrt(D*g*cos(angle)) # Paper only uses kinematic viscosity nul = mul/rhol T = sqrt(dP_ls/((rhol-rhog)*g*cos(angle))) K = sqrt(rhog*v_gs*v_gs*v_ls/((rhol-rhog)*g*nul*cos(angle))) F_A_at_X = XA_interp_obj(X) X_B_transition = 1.7917 # Roughly if F >= F_A_at_X and X <= X_B_transition: regime = 'annular' elif F >= F_A_at_X: T_D_at_X = XD_interp_obj(X) if T >= T_D_at_X: regime = 'bubbly' else: regime = 'intermittent' else: K_C_at_X = XC_interp_obj(X) if K >= K_C_at_X: regime = 'stratified wavy' else: regime = 'stratified smooth' return regime, X, T, F, K def Mandhane_Gregory_Aziz_regime(m, x, rhol, rhog, mul, mug, sigma, D): r'''Classifies the regime of a two-phase flow according to Mandhane, Gregory, and Azis (1974) flow map. The flow regimes in this method are 'elongated bubble', 'stratified', 'annular mist', 'slug', 'dispersed bubble', and 'wave'. The parameters used are just the superficial liquid and gas velocity (i.e. if only the mass flow of that phase were flowing in the pipe). Parameters ---------- m : float Mass flow rate of fluid, [kg/s] x : float Mass quality of fluid, [-] rhol : float Liquid density, [kg/m^3] rhog : float Gas density, [kg/m^3] mul : float Viscosity of liquid, [Pa*s] mug : float Viscosity of gas, [Pa*s] sigma : float Surface tension, [N/m] D : float Diameter of pipe, [m] Returns ------- regime : str One of 'elongated bubble', 'stratified', 'annular mist', 'slug', 'dispersed bubble', or 'wave', [-] v_gs : float The superficial gas velocity in the pipe (x axis coordinate), [ft/s] v_ls : float The superficial liquid velocity in the pipe (x axis coordinate), [ft/s] Notes ----- [1]_ contains a Fortran implementation of this model, which this has been validated against. This is a very fast flow map as all transitions were spelled out with clean transitions. Examples -------- >>> Mandhane_Gregory_Aziz_regime(m=0.6, x=0.112, rhol=915.12, rhog=2.67, ... mul=180E-6, mug=14E-6, sigma=0.065, D=0.05) ('slug', 0.9728397701853173, 42.05456634236875) References ---------- .. [1] Mandhane, J. M., G. A. Gregory, and K. Aziz. "A Flow Pattern Map for Gas-liquid Flow in Horizontal Pipes." International Journal of Multiphase Flow 1, no. 4 (October 30, 1974): 537-53. doi:10.1016/0301-9322(74)90006-8. ''' A = 0.25*pi*D*D Vsl = m*(1.0 - x)/(rhol*A) Vsg = m*x/(rhog*A) # Convert to imperial units Vsl, Vsg = Vsl/0.3048, Vsg/0.3048 # X1 = (rhog/0.0808)**0.333 * (rhol*72.4/62.4/sigma)**0.25 * (mug/0.018)**0.2 # Y1 = (rhol*72.4/62.4/sigma)**0.25 * (mul/1.)**0.2 X1 = (rhog/1.294292)**0.333 * sqrt(sqrt(rhol*0.0724/(999.552*sigma))) * (mug*1.8E5)**0.2 Y1 = sqrt(sqrt(rhol*0.0724/999.552/sigma)) * (mul*1E3)**0.2 if Vsl < 14.0*Y1: if Vsl <= 0.1: Y1345 = 14.0*(Vsl/0.1)**-0.368 elif Vsl <= 0.2: Y1345 = 14.0*(Vsl/0.1)**-0.415 elif Vsl <= 1.15: Y1345 = 10.5*(Vsl/0.2)**-0.816 elif Vsl <= 4.8: Y1345 = 2.5 else: Y1345 = 2.5*(Vsl/4.8)**0.248 if Vsl <= 0.1: Y456 = 70.0*(Vsl/0.01)**-0.0675 elif Vsl <= 0.3: Y456 = 60.0*(Vsl/0.1)**-0.415 elif Vsl <= 0.56: Y456 = 38.0*(Vsl/0.3)**0.0813 elif Vsl <= 1.0: Y456 = 40.0*(Vsl/0.56)**0.385 elif Vsl <= 2.5: Y456 = 50.0*(Vsl/1.)**0.756 else: Y456 = 100.0*(Vsl/2.5)**0.463 Y45 = 0.3*Y1 Y31 = 0.5/Y1 Y1345 = Y1345*X1 Y456 = Y456*X1 if Vsg <= Y1345 and Vsl >= Y31: regime = 'elongated bubble' elif Vsg <= Y1345 and Vsl <= Y31: regime = 'stratified' elif Vsg >= Y1345 and Vsg <= Y456 and Vsl > Y45: regime = 'slug' elif Vsg >= Y1345 and Vsg <= Y456 and Vsl <= Y45: regime = 'wave' else: regime = 'annular mist' elif Vsg <= (230.*(Vsl/14.)**0.206)*X1: regime = 'dispersed bubble' else: regime = 'annular mist' return regime, Vsl, Vsg Mandhane_Gregory_Aziz_regimes = {'elongated bubble': 1, 'stratified': 2, 'slug':3, 'wave': 4, 'annular mist': 5, 'dispersed bubble': 6} fluids-1.0.22/fluids/packed_bed.py0000644000175000017500000012600514302004506016307 0ustar nileshnilesh# -*- coding: utf-8 -*- """Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2016, 2017, 2018, 2020 Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. This module contains correlations for calculating the pressure drop across a packed bed. Several correlations for void fraction are also included. For reporting bugs, adding feature requests, or submitting pull requests, please use the `GitHub issue tracker `_ or contact the author at Caleb.Andrew.Bell@gmail.com. .. contents:: :local: Packed Bed Correlation Interfaces --------------------------------- .. autofunction:: dP_packed_bed .. autofunction:: dP_packed_bed_methods Packed Bed Correlations ----------------------- .. autofunction:: Ergun .. autofunction:: Kuo_Nydegger .. autofunction:: Jones_Krier .. autofunction:: Carman .. autofunction:: Hicks .. autofunction:: Brauer .. autofunction:: KTA .. autofunction:: Erdim_Akgiray_Demir .. autofunction:: Fahien_Schriver .. autofunction:: Tallmadge .. autofunction:: Idelchik .. autofunction:: Harrison_Brunner_Hecker .. autofunction:: Montillet_Akkari_Comiti .. autofunction:: Guo_Sun Voidage Correlations -------------------- .. autofunction:: voidage_Benyahia_Oneil .. autofunction:: voidage_Benyahia_Oneil_spherical .. autofunction:: voidage_Benyahia_Oneil_cylindrical """ from __future__ import division from math import exp, pi, sqrt __all__ = ['dP_packed_bed', 'dP_packed_bed_methods', 'Ergun', 'Kuo_Nydegger', 'Jones_Krier', 'Carman', 'Hicks', 'Brauer', 'KTA', 'Erdim_Akgiray_Demir', 'Fahien_Schriver', 'Tallmadge', 'Idelchik', 'Harrison_Brunner_Hecker', 'Montillet_Akkari_Comiti', 'Guo_Sun', 'voidage_Benyahia_Oneil', 'voidage_Benyahia_Oneil_spherical', 'voidage_Benyahia_Oneil_cylindrical'] def Ergun(dp, voidage, vs, rho, mu, L=1.0): r'''Calculates pressure drop across a packed bed of spheres using a correlation developed in [1]_, as shown in [2]_ and [3]_. Eighteenth most accurate correlation overall in the review of [2]_. Most often presented in the following form: .. math:: \Delta P = \frac{150\mu (1-\epsilon)^2 v_s L}{\epsilon^3 d_p^2} + \frac{1.75 (1-\epsilon) \rho v_s^2 L}{\epsilon^3 d_p} It is also often presented with a term for sphericity, which is multiplied by particle diameter everywhere in the equation. However, this is highly empirical and better correlations for beds of differently-shaped particles exist. To use sphericity in this model, multiple the input particle diameter by the spericity separately. In the review of [2]_, it is expressed in terms of a parameter `fp`, shown below. This is a convenient means of expressing all forms of pressure drop in packed beds correlations in a way that allows for easy comparison. .. math:: f_p = \left(150 + 1.75\left(\frac{Re}{1-\epsilon}\right)\right) \frac{(1-\epsilon)^2}{\epsilon^3 Re} .. math:: f_p = \frac{\Delta P d_p}{\rho v_s^2 L} .. math:: Re = \frac{\rho v_s d_p}{\mu} Parameters ---------- dp : float Particle diameter of spheres [m] voidage : float Void fraction of bed packing [-] vs : float Superficial velocity of the fluid (volumetric flow rate/cross-sectional area)[m/s] rho : float Density of the fluid [kg/m^3] mu : float Viscosity of the fluid, [Pa*s] L : float, optional Length the fluid flows in the packed bed [m] Returns ------- dP : float Pressure drop across the bed [Pa] Notes ----- The first term in this equation represents laminar loses, and the second, turbulent loses. Developed with data from spheres, sand, and pulverized coke. Fluids tested were carbon dioxide, nitrogen, methane, and hydrogen. Validity range shown in [3]_ is :math:`1 < Re_{Erg} < 2300`. Over predicts pressure drop for :math:`Re_{Erg} > 700`. Examples -------- >>> Ergun(dp=8E-4, voidage=0.4, vs=1E-3, rho=1E3, mu=1E-3) 1338.8671874999995 References ---------- .. [1] Ergun, S. (1952) "Fluid flow through packed columns", Chem. Eng. Prog., 48, 89-94. .. [2] Erdim, Esra, Ömer Akgiray, and Ä°brahim Demir. "A Revisit of Pressure Drop-Flow Rate Correlations for Packed Beds of Spheres." Powder Technology 283 (October 2015): 488-504. doi:10.1016/j.powtec.2015.06.017. .. [3] Jones, D. P., and H. Krier. "Gas Flow Resistance Measurements Through Packed Beds at High Reynolds Numbers." Journal of Fluids Engineering 105, no. 2 (June 1, 1983): 168-172. doi:10.1115/1.3240959. ''' Re = dp*rho*vs/mu fp = (150 + 1.75*(Re/(1-voidage)))*(1-voidage)**2/(voidage**3*Re) return fp*rho*vs**2*L/dp def Kuo_Nydegger(dp, voidage, vs, rho, mu, L=1.0): r'''Calculates pressure drop across a packed bed of spheres using a correlation developed in [1]_, as shown in [2]_ and [3]. Thirty-eighth most accurate correlation overall in the review of [2]_. .. math:: f_p = \left(276.23 + 5.05\left(\frac{Re}{1-\epsilon}\right)^{0.87} \right)\frac{(1-\epsilon)^2}{\epsilon^3 Re} .. math:: f_p = \frac{\Delta P d_p}{\rho v_s^2 L} .. math:: Re = \frac{\rho v_s d_p}{\mu} Parameters ---------- dp : float Particle diameter of spheres [m] voidage : float Void fraction of bed packing [-] vs : float Superficial velocity of the fluid (volumetric flow rate/cross-sectional area)[m/s] rho : float Density of the fluid [kg/m^3] mu : float Viscosity of the fluid, [Pa*s] L : float, optional Length the fluid flows in the packed bed [m] Returns ------- dP : float Pressure drop across the bed [Pa] Notes ----- Validity range shown in [2]_ as for a range of :math:`460 < Re < 14600`. :math:`0.3760 < \epsilon < 0.3901`. Developed with data from rough granular ball propellants beds, with air. Examples -------- >>> Kuo_Nydegger(dp=8E-1, voidage=0.4, vs=1E-3, rho=1E3, mu=1E-3) 0.025651460973648624 References ---------- .. [1] Kuo, K. K. and Nydegger, C., "Flow Resistance Measurement and Correlation in Packed Beds of WC 870 Ball Propellants," Journal of Ballistics , Vol. 2, No. 1, pp. 1-26, 1978. .. [2] Erdim, Esra, Ömer Akgiray, and Ä°brahim Demir. "A Revisit of Pressure Drop-Flow Rate Correlations for Packed Beds of Spheres." Powder Technology 283 (October 2015): 488-504. doi:10.1016/j.powtec.2015.06.017. .. [3] Jones, D. P., and H. Krier. "Gas Flow Resistance Measurements Through Packed Beds at High Reynolds Numbers." Journal of Fluids Engineering 105, no. 2 (June 1, 1983): 168-172. doi:10.1115/1.3240959. ''' Re = dp*rho*vs/mu fp = (276.23 + 5.05*(Re/(1-voidage))**0.87)*(1-voidage)**2/(voidage**3*Re) return fp*rho*vs**2*L/dp def Tallmadge(dp, voidage, vs, rho, mu, L=1.0): r'''Calculates pressure drop across a packed bed of spheres using a correlation developed in [1]_, as shown in [2]_ and [3]. .. math:: f_p = \left(150 + 4.2\left(\frac{Re}{1-\epsilon}\right)^{5/6} \right) \frac{(1-\epsilon)^2}{\epsilon^3 Re} .. math:: f_p = \frac{\Delta P d_p}{\rho v_s^2 L} .. math:: Re = \frac{\rho v_s d_p}{\mu} Parameters ---------- dp : float Particle diameter of spheres [m] voidage : float Void fraction of bed packing [-] vs : float Superficial velocity of the fluid (volumetric flow rate/cross-sectional area)[m/s] rho : float Density of the fluid [kg/m^3] mu : float Viscosity of the fluid, [Pa*s] L : float, optional Length the fluid flows in the packed bed [m] Returns ------- dP : float Pressure drop across the bed [Pa] Notes ----- The validity range shown in [2]_ is a range of :math:`0.1 < Re < 100000`. Examples -------- >>> Tallmadge(dp=8E-4, voidage=0.4, vs=1E-3, rho=1E3, mu=1E-3) 1365.2739144209424 References ---------- .. [1] Tallmadge, J. A. "Packed Bed Pressure Drop-an Extension to Higher Reynolds Numbers." AIChE Journal 16, no. 6 (November 1, 1970): 1092-93. .. [2] Erdim, Esra, Ömer Akgiray, and Ä°brahim Demir. "A Revisit of Pressure Drop-Flow Rate Correlations for Packed Beds of Spheres." Powder Technology 283 (October 2015): 488-504. doi:10.1016/j.powtec.2015.06.017. .. [3] Montillet, A., E. Akkari, and J. Comiti. "About a Correlating Equation for Predicting Pressure Drops through Packed Beds of Spheres in a Large Range of Reynolds Numbers." Chemical Engineering and Processing: Process Intensification 46, no. 4 (April 2007): 329-33. doi:10.1016/j.cep.2006.07.002. ''' Re = dp*rho*vs/mu fp = (150.0 + 4.2*(Re/(1-voidage))**(5.0/6.0))*(1-voidage)**2/(voidage**3*Re) return fp*rho*vs**2*L/dp def Jones_Krier(dp, voidage, vs, rho, mu, L=1.0): r'''Calculates pressure drop across a packed bed of spheres using a correlation developed in [1]_, also shown in [2]_. Tenth most accurate correlation overall in the review of [2]_. .. math:: f_p = \left(150 + 3.89\left(\frac{Re}{1-\epsilon}\right)^{0.87}\right) \frac{(1-\epsilon)^2}{\epsilon^3 Re} .. math:: f_p = \frac{\Delta P d_p}{\rho v_s^2 L} .. math:: Re = \frac{\rho v_s d_p}{\mu} Parameters ---------- dp : float Particle diameter of spheres [m] voidage : float Void fraction of bed packing [-] vs : float Superficial velocity of the fluid (volumetric flow rate/cross-sectional area)[m/s] rho : float Density of the fluid [kg/m^3] mu : float Viscosity of the fluid, [Pa*s] L : float, optional Length the fluid flows in the packed bed [m] Returns ------- dP : float Pressure drop across the bed [Pa] Notes ----- Validity range shown in [1]_ as for a range of :math:`733 < Re < 126,670`. :math:`0.3804 < \epsilon < 0.4304`. Developed from data of spherical glass beads. Examples -------- >>> Jones_Krier(dp=8E-4, voidage=0.4, vs=1E-3, rho=1E3, mu=1E-3) 1362.2719449873746 References ---------- .. [1] Jones, D. P., and H. Krier. "Gas Flow Resistance Measurements Through Packed Beds at High Reynolds Numbers." Journal of Fluids Engineering 105, no. 2 (June 1, 1983): 168-172. doi:10.1115/1.3240959. .. [2] Erdim, Esra, Ömer Akgiray, and Ä°brahim Demir. "A Revisit of Pressure Drop-Flow Rate Correlations for Packed Beds of Spheres." Powder Technology 283 (October 2015): 488-504. doi:10.1016/j.powtec.2015.06.017. ''' Re = dp*rho*vs/mu fp = (150 + 3.89*(Re/(1-voidage))**0.87)*(1-voidage)**2/(voidage**3*Re) return fp*rho*vs**2*L/dp def Carman(dp, voidage, vs, rho, mu, L=1.0): r'''Calculates pressure drop across a packed bed of spheres using a correlation developed in [1]_, as shown in [2]_. Fifth most accurate correlation overall in the review of [2]_. Also shown in [3]_. .. math:: f_p = \left(180 + 2.871\left(\frac{Re}{1-\epsilon}\right)^{0.9}\right) \frac{(1-\epsilon)^2}{\epsilon^3 Re} .. math:: f_p = \frac{\Delta P d_p}{\rho v_s^2 L} .. math:: Re = \frac{\rho v_s d_p}{\mu} Parameters ---------- dp : float Particle diameter of spheres [m] voidage : float Void fraction of bed packing [-] vs : float Superficial velocity of the fluid (volumetric flow rate/cross-sectional area)[m/s] rho : float Density of the fluid [kg/m^3] mu : float Viscosity of the fluid, [Pa*s] L : float, optional Length the fluid flows in the packed bed [m] Returns ------- dP : float Pressure drop across the bed [Pa] Notes ----- Valid in [1]_, [2]_, and [3]_ for a range of :math:`300 < Re_{Erg} < 60,000`. Examples -------- >>> Carman(dp=8E-4, voidage=0.4, vs=1E-3, rho=1E3, mu=1E-3) 1614.721678121775 References ---------- .. [1] P.C. Carman, Fluid flow through granular beds, Transactions of the London Institute of Chemical Engineers 15 (1937) 150-166. .. [2] Erdim, Esra, Ömer Akgiray, and Ä°brahim Demir. "A Revisit of Pressure Drop-Flow Rate Correlations for Packed Beds of Spheres." Powder Technology 283 (October 2015): 488-504. doi:10.1016/j.powtec.2015.06.017. .. [3] Allen, K. G., T. W. von Backstrom, and D. G. Kroger. "Packed Bed Pressure Drop Dependence on Particle Shape, Size Distribution, Packing Arrangement and Roughness." Powder Technology 246 (September 2013): 590-600. doi:10.1016/j.powtec.2013.06.022. ''' Re = dp*rho*vs/mu fp = (180 + 2.871*(Re/(1-voidage))**0.9)*(1-voidage)**2/(voidage**3*Re) return fp*rho*vs**2*L/dp def Hicks(dp, voidage, vs, rho, mu, L=1.0): r'''Calculates pressure drop across a packed bed of spheres using a correlation developed in [1]_, as shown in [2]_. Twenty-third most accurate correlation overall in the review of [2]_. Also shown in [3]_. .. math:: f_p = 6.8 \frac{(1-\epsilon)^{1.2}}{Re^{0.2}\epsilon^3} .. math:: f_p = \frac{\Delta P d_p}{\rho v_s^2 L} .. math:: Re = \frac{\rho v_s d_p}{\mu} Parameters ---------- dp : float Particle diameter of spheres [m] voidage : float Void fraction of bed packing [-] vs : float Superficial velocity of the fluid (volumetric flow rate/cross-sectional area)[m/s] rho : float Density of the fluid [kg/m^3] mu : float Viscosity of the fluid, [Pa*s] L : float, optional Length the fluid flows in the packed bed [m] Returns ------- dP : float Pressure drop across the bed [Pa] Notes ----- Valid in [1]_, [2]_, and [3]_ for a range of :math:`300 < Re_{Erg} < 60,000`. Examples -------- >>> Hicks(dp=0.01, voidage=0.4, vs=1E-3, rho=1E3, mu=1E-3) 3.631703956680737 References ---------- .. [1] Hicks, R. E. "Pressure Drop in Packed Beds of Spheres." Industrial Engineering Chemistry Fundamentals 9, no. 3 (August 1, 1970): 500-502. doi:10.1021/i160035a032. .. [2] Erdim, Esra, Ömer Akgiray, and Ä°brahim Demir. "A Revisit of Pressure Drop-Flow Rate Correlations for Packed Beds of Spheres." Powder Technology 283 (October 2015): 488-504. doi:10.1016/j.powtec.2015.06.017. .. [3] Allen, K. G., T. W. von Backstrom, and D. G. Kroger. "Packed Bed Pressure Drop Dependence on Particle Shape, Size Distribution, Packing Arrangement and Roughness." Powder Technology 246 (September 2013): 590-600. doi:10.1016/j.powtec.2013.06.022. ''' Re = dp*rho*vs/mu fp = 6.8*(1-voidage)**1.2/Re**0.2/voidage**3 return fp*rho*vs**2*L/dp def Brauer(dp, voidage, vs, rho, mu, L=1.0): r'''Calculates pressure drop across a packed bed of spheres using a correlation developed in [1]_, as shown in [2]_. Seventh most accurate correlation overall in the review of [2]_. Also shown in [3]_. .. math:: f_p = \left(160 + 3\left(\frac{Re}{1-\epsilon}\right)^{0.9}\right) \frac{(1-\epsilon)^2}{\epsilon^3 Re} .. math:: f_p = \frac{\Delta P d_p}{\rho v_s^2 L} .. math:: Re = \frac{\rho v_s d_p}{\mu} Parameters ---------- dp : float Particle diameter of spheres [m] voidage : float Void fraction of bed packing [-] vs : float Superficial velocity of the fluid (volumetric flow rate/cross-sectional area)[m/s] rho : float Density of the fluid [kg/m^3] mu : float Viscosity of the fluid, [Pa*s] L : float, optional Length the fluid flows in the packed bed [m] Returns ------- dP : float Pressure drop across the bed [Pa] Notes ----- The original article [1]_ has not been reviewed. In [2]_, is stated as for a range of :math:`2 < Re_{Erg} < 20,000`. In [3]_, is stated as for a range of :math:`0.01 < Re_{Erg} < 40,000`. Examples -------- >>> Brauer(dp=8E-4, voidage=0.4, vs=1E-3, rho=1E3, mu=1E-3) 1441.5479196020563 References ---------- .. [1] H. Brauer, Grundlagen der Einphasen -und Mehrphasenstromungen, Sauerlander AG, Aarau, 1971. .. [2] Erdim, Esra, Ömer Akgiray, and Ä°brahim Demir. "A Revisit of Pressure Drop-Flow Rate Correlations for Packed Beds of Spheres." Powder Technology 283 (October 2015): 488-504. doi:10.1016/j.powtec.2015.06.017. .. [3] Allen, K. G., T. W. von Backstrom, and D. G. Kroger. "Packed Bed Pressure Drop Dependence on Particle Shape, Size Distribution, Packing Arrangement and Roughness." Powder Technology 246 (September 2013): 590-600. doi:10.1016/j.powtec.2013.06.022. ''' Re = dp*rho*vs/mu fp = (160 + 3.1*(Re/(1-voidage))**0.9)*(1-voidage)**2/(voidage**3*Re) return fp*rho*vs**2*L/dp def KTA(dp, voidage, vs, rho, mu, L=1.0): r'''Calculates pressure drop across a packed bed of spheres using a correlation developed in [1]_, as shown in [2]_. Third most accurate correlation overall in the review of [2]_. .. math:: f_p = \left(160 + 3\left(\frac{Re}{1-\epsilon}\right)^{0.9}\right) \frac{(1-\epsilon)^2}{\epsilon^3 Re} .. math:: f_p = \frac{\Delta P d_p}{\rho v_s^2 L} .. math:: Re= \frac{\rho v_s d_p}{\mu} Parameters ---------- dp : float Particle diameter of spheres [m] voidage : float Void fraction of bed packing [-] vs : float Superficial velocity of the fluid (volumetric flow rate/cross-sectional area)[m/s] rho : float Density of the fluid [kg/m^3] mu : float Viscosity of the fluid, [Pa*s] L : float, optional Length the fluid flows in the packed bed [m] Returns ------- dP : float Pressure drop across the bed [Pa] Notes ----- Developed for gas flow through pebbles in nuclear reactors. In [2]_, stated as for a range of :math:`1 < RE_{Erg} <100,000`. In [1]_, a limit on porosity is stated as :math:`0.36 < \epsilon < 0.42`. Examples -------- >>> KTA(dp=8E-4, voidage=0.4, vs=1E-3, rho=1E3, mu=1E-3) 1440.409277034248 References ---------- .. [1] KTA. KTA 3102.3 Reactor Core Design of High-Temperature Gas-Cooled Reactors Part 3: Loss of Pressure through Friction in Pebble Bed Cores. Germany, 1981. .. [2] Erdim, Esra, Ömer Akgiray, and Ä°brahim Demir. "A Revisit of Pressure Drop-Flow Rate Correlations for Packed Beds of Spheres." Powder Technology 283 (October 2015): 488-504. doi:10.1016/j.powtec.2015.06.017. ''' Re = dp*rho*vs/mu fp = (160 + 3*(Re/(1-voidage))**0.9)*(1-voidage)**2/(voidage**3*Re) return fp*rho*vs**2*L/dp def Erdim_Akgiray_Demir(dp, voidage, vs, rho, mu, L=1.0): r'''Calculates pressure drop across a packed bed of spheres using a correlation developed in [1]_, claiming to be the best model to date. .. math:: f_v = 160 + 2.81Re_{Erg}^{0.904} .. math:: f_v = \frac{\Delta P d_p^2}{\mu v_s L}\frac{\epsilon^3}{(1-\epsilon)^2} .. math:: Re_{Erg} = \frac{\rho v_s d_p}{\mu(1-\epsilon)} Parameters ---------- dp : float Particle diameter of spheres [m] voidage : float Void fraction of bed packing [-] vs : float Superficial velocity of the fluid (volumetric flow rate/cross-sectional area)[m/s] rho : float Density of the fluid [kg/m^3] mu : float Viscosity of the fluid, [Pa*s] L : float, optional Length the fluid flows in the packed bed [m] Returns ------- dP : float Pressure drop across the bed [Pa] Notes ----- Developed with data in the range of: .. math:: 2 < Re_{Erg} <3582\\ 4 < d_t/d_p < 34.1\\ 0.377 < \epsilon <0.470 Examples -------- >>> Erdim_Akgiray_Demir(dp=8E-4, voidage=0.4, vs=1E-3, rho=1E3, mu=1E-3) 1438.2826958844414 References ---------- .. [1] Erdim, Esra, Ömer Akgiray, and Ä°brahim Demir. "A Revisit of Pressure Drop-Flow Rate Correlations for Packed Beds of Spheres." Powder Technology 283 (October 2015): 488-504. doi:10.1016/j.powtec.2015.06.017. ''' Rem = dp*rho*vs/mu/(1-voidage) fv = 160 + 2.81*Rem**0.904 return fv*(mu*vs*L/dp**2)*(1-voidage)**2/voidage**3 def Fahien_Schriver(dp, voidage, vs, rho, mu, L=1.0): r'''Calculates pressure drop across a packed bed of spheres using a correlation developed in [1]_, as shown in [2]_. Second most accurate correlation overall in the review of [2]_. .. math:: f_p = \left(q\frac{f_{1L}}{Re_{Erg}} + (1-q)\left(f_2 + \frac{f_{1T}} {Re_{Erg}}\right)\right)\frac{1-\epsilon}{\epsilon^3} .. math:: q = \exp\left(-\frac{\epsilon^2(1-\epsilon)}{12.6}Re_{Erg}\right) .. math:: f_{1L}=\frac{136}{(1-\epsilon)^{0.38}} .. math:: f_{1T} = \frac{29}{(1-\epsilon)^{1.45}\epsilon^2} .. math:: f_2 = \frac{1.87\epsilon^{0.75}}{(1-\epsilon)^{0.26}} .. math:: f_p = \frac{\Delta P d_p}{\rho v_s^2 L} .. math:: Re_{Erg} = \frac{\rho v_s d_p}{\mu(1-\epsilon)} Parameters ---------- dp : float Particle diameter of spheres [m] voidage : float Void fraction of bed packing [-] vs : float Superficial velocity of the fluid (volumetric flow rate/cross-sectional area)[m/s] rho : float Density of the fluid [kg/m^3] mu : float Viscosity of the fluid, [Pa*s] L : float, optional Length the fluid flows in the packed bed [m] Returns ------- dP : float Pressure drop across the bed [Pa] Notes ----- No range of validity available. Examples -------- >>> Fahien_Schriver(dp=8E-4, voidage=0.4, vs=1E-3, rho=1E3, mu=1E-3) 1470.6175541844711 References ---------- .. [1] R.W. Fahien, C.B. Schriver, Paper presented at the 1961 Denver meeting of AIChE, in: R.W. Fahien, Fundamentals of Transport Phenomena, McGraw-Hill, New York, 1983. .. [2] Erdim, Esra, Ömer Akgiray, and Ä°brahim Demir. "A Revisit of Pressure Drop-Flow Rate Correlations for Packed Beds of Spheres." Powder Technology 283 (October 2015): 488-504. doi:10.1016/j.powtec.2015.06.017. ''' Rem = dp*rho*vs/mu/(1-voidage) q = exp(-voidage**2*(1-voidage)/12.6*Rem) f1L = 136/(1-voidage)**0.38 f1T = 29/((1-voidage)**1.45*voidage**2) f2 = 1.87*voidage**0.75/(1-voidage)**0.26 fp = (q*f1L/Rem + (1-q)*(f2 + f1T/Rem))*(1-voidage)/voidage**3 return fp*rho*vs**2*L/dp def Idelchik(dp, voidage, vs, rho, mu, L=1.0): r'''Calculates pressure drop across a packed bed of spheres as in [2]_, originally in [1]_. .. math:: \frac{\Delta P}{L\rho v_s^2} d_p = \frac{0.765}{\epsilon^{4.2}} \left(\frac{30}{Re_l} + \frac{3}{Re_l^{0.7}} + 0.3\right) .. math:: Re_l = (0.45/\epsilon^{0.5})Re_{Erg} .. math:: Re_{Erg} = \frac{\rho v_s D_p}{\mu(1-\epsilon)} Parameters ---------- dp : float Particle diameter of spheres [m] voidage : float Void fraction of bed packing [-] vs : float Superficial velocity of the fluid (volumetric flow rate/cross-sectional area)[m/s] rho : float Density of the fluid [kg/m^3] mu : float Viscosity of the fluid, [Pa*s] L : float, optional Length the fluid flows in the packed bed [m] Returns ------- dP : float Pressure drop across the bed [Pa] Notes ----- :math:`0.001 < Re_{Erg} <1000` This equation is valid for void fractions between 0.3 and 0.8. Cited as by Bernshtein. Examples -------- >>> Idelchik(dp=8E-4, voidage=0.4, vs=1E-3, rho=1E3, mu=1E-3) 1571.909125999067 References ---------- .. [1] Idelchik, I. E. Flow Resistance: A Design Guide for Engineers. Hemisphere Publishing Corporation, New York, 1989. .. [2] Allen, K. G., T. W. von Backstrom, and D. G. Kroger. "Packed Bed Pressure Drop Dependence on Particle Shape, Size Distribution, Packing Arrangement and Roughness." Powder Technology 246 (September 2013): 590-600. doi:10.1016/j.powtec.2013.06.022. ''' Re = rho*vs*dp/mu/(1-voidage) Re = (0.45/sqrt(voidage))*Re right = 0.765/voidage**4.2*(30./Re + 3./Re**0.7 + 0.3) left = dp/L/rho/vs**2 return right/left def Harrison_Brunner_Hecker(dp, voidage, vs, rho, mu, L=1, Dt=None): r'''Calculates pressure drop across a packed bed of spheres using a correlation developed in [1]_, also shown in [2]_. Fourth most accurate correlation overall in the review of [2]_. Applies a wall correction if diameter of tube is provided. .. math:: f_p = \left(119.8A + 4.63B\left(\frac{Re}{1-\epsilon}\right)^{5/6} \right)\frac{(1-\epsilon)^2}{\epsilon^3 Re} .. math:: A = \left(1 + \pi \frac{d_p}{6(1-\epsilon)D_t}\right)^2 .. math:: B = 1 - \frac{\pi^2 d_p}{24D_t}\left(1 - \frac{0.5d_p}{D_t}\right) .. math:: f_p = \frac{\Delta P d_p}{\rho v_s^2 L} .. math:: Re = \frac{\rho v_s d_p}{\mu} Parameters ---------- dp : float Particle diameter of spheres [m] voidage : float Void fraction of bed packing [-] vs : float Superficial velocity of the fluid (volumetric flow rate/cross-sectional area)[m/s] rho : float Density of the fluid [kg/m^3] mu : float Viscosity of the fluid, [Pa*s] L : float, optional Length the fluid flows in the packed bed [m] Dt : float, optional Diameter of the tube, [m] Returns ------- dP : float Pressure drop across the bed [Pa] Notes ----- Uses data from other sources only. Correlation will underestimate pressure drop if tube diameter is not provided. Limits are specified in [1]_ as: .. math:: 0.72 < Re < 7700 \\ 8.3 < d_t/d_p < 50 \\ 0.33 < \epsilon < 0.88 Examples -------- >>> Harrison_Brunner_Hecker(dp=8E-4, voidage=0.4, vs=1E-3, rho=1E3, mu=1E-3, Dt=1E-2) 1255.1625662548427 References ---------- .. [1] KTA. KTA 3102.3 Reactor Core Design of High-Temperature Gas-Cooled Reactors Part 3: Loss of Pressure through Friction in Pebble Bed Cores. Germany, 1981. .. [2] Erdim, Esra, Ömer Akgiray, and Ä°brahim Demir. "A Revisit of Pressure Drop-Flow Rate Correlations for Packed Beds of Spheres." Powder Technology 283 (October 2015): 488-504. doi:10.1016/j.powtec.2015.06.017. ''' Re = dp*rho*vs/mu if Dt is None: A, B = 1.0, 1.0 else: A = (1 + pi*dp/(6*(1-voidage)*Dt))**2 B = 1 - pi**2*dp/24/Dt*(1 - dp/(2*Dt)) fp = (119.8*A + 4.63*B*(Re/(1-voidage))**(5/6.))*(1-voidage)**2/(voidage**3*Re) return fp*rho*vs**2*L/dp def Montillet_Akkari_Comiti(dp, voidage, vs, rho, mu, L=1, Dt=None): r'''Calculates pressure drop across a packed bed of spheres as in [2]_, originally in [1]_. Wall effect adjustment is used if `Dt` is provided. .. math:: \frac{\Delta P}{L\rho V_s^2} D_p \frac{\epsilon^3}{(1-\epsilon)} = a\left(\frac{D_c}{D_p}\right)^{0.20} \left(\frac{1000}{Re_{p}} + \frac{60}{Re_{p}^{0.5}} + 12 \right) .. math:: Re_{p} = \frac{\rho v_s D_p}{\mu} Parameters ---------- dp : float Particle diameter of spheres [m] voidage : float Void fraction of bed packing [-] vs : float Superficial velocity of the fluid (volumetric flow rate/cross-sectional area)[m/s] rho : float Density of the fluid [kg/m^3] mu : float Viscosity of the fluid, [Pa*s] L : float, optional Length the fluid flows in the packed bed [m] Dt : float, optional Diameter of the tube, [m] Returns ------- dP : float Pressure drop across bed [Pa] Notes ----- :math:`10 < REp <2500` if Dc/D > 50, set to 2.2. a = 0.061 for epsilon < 0.4, 0.050 for > 0.4. Examples -------- Custom example: >>> Montillet_Akkari_Comiti(dp=0.0008, voidage=0.4, L=0.5, vs=0.00132629120, rho=1000., mu=1.00E-003) 1148.1905244077548 References ---------- .. [1] Montillet, A., E. Akkari, and J. Comiti. "About a Correlating Equation for Predicting Pressure Drops through Packed Beds of Spheres in a Large Range of Reynolds Numbers." Chemical Engineering and Processing: Process Intensification 46, no. 4 (April 2007): 329-33. doi:10.1016/j.cep.2006.07.002. .. [2] Allen, K. G., T. W. von Backstrom, and D. G. Kroger. "Packed Bed Pressure Drop Dependence on Particle Shape, Size Distribution, Packing Arrangement and Roughness." Powder Technology 246 (September 2013): 590-600. doi:10.1016/j.powtec.2013.06.022. ''' Re = rho*vs*dp/mu if voidage < 0.4: a = 0.061 else: a = 0.05 if Dt is None or Dt/dp > 50: Dterm = 2.2 else: Dterm = (Dt/dp)**0.2 right = a*Dterm*(1000./Re + 60/sqrt(Re) + 12) left = dp/L/rho/vs**2*voidage**3/(1-voidage) return right/left def Guo_Sun(dp, voidage, vs, rho, mu, Dt, L=1.0): r'''Calculates pressure drop across a packed bed of spheres using a correlation developed in [1]_. This is valid for highly-packed particles at particle/tube diameter ratios between 2 and 3, where a ring packing structure occurs. If a packing ratio is so low, it is important to use this model because in some cases its predictions are as low as half those of other models! .. math:: f_v = 180 + \left(9.5374\frac{d_p}{D_t} - 2.8054\right)Re_{Erg}^{0.97} .. math:: f_v = \frac{\Delta P d_p^2}{\mu v_s L}\frac{\epsilon^3}{(1-\epsilon)^2} .. math:: Re_{Erg} = \frac{\rho v_s d_p}{\mu(1-\epsilon)} Parameters ---------- dp : float Particle diameter of spheres [m] voidage : float Void fraction of bed packing [-] vs : float Superficial velocity of the fluid (volumetric flow rate/cross-sectional area)[m/s] rho : float Density of the fluid [kg/m^3] mu : float Viscosity of the fluid, [Pa*s] Dt : float Diameter of the tube, [m] L : float, optional Length the fluid flows in the packed bed [m] Returns ------- dP : float Pressure drop across the bed [Pa] Notes ----- Developed with data in the range of: .. math:: 100 < Re_{m} <33000\\ 2 < d_t/d_p < 3 1\\ 0.476 < \epsilon <0.492 Examples -------- >>> Guo_Sun(dp=14.2E-3, voidage=0.492, vs=0.6, rho=1E3, mu=1E-3, Dt=40.9E-3) 42019.529911473706 References ---------- .. [1] Guo, Zehua, Zhongning Sun, Nan Zhang, Ming Ding, and Jiaqing Liu. "Pressure Drop in Slender Packed Beds with Novel Packing Arrangement." Powder Technology 321 (November 2017): 286-92. doi:10.1016/j.powtec.2017.08.024. ''' # 2 < D/d < 3, particles in contact with the wall tend to form a highly ordered ring structure. Rem = dp*rho*vs/mu/(1-voidage) ratio = dp/Dt if Dt is not None else 3.5 # Never ran fv = 180 + (9.5374*ratio - 2.8054)*Rem**0.97 return fv*(mu*vs*L/dp**2)*(1-voidage)**2/voidage**3 # Format: Nice name : (formula, uses_dt) packed_beds_correlations = { 'Ergun': (Ergun, False), 'Tallmadge': (Tallmadge, False), 'Kuo & Nydegger': (Kuo_Nydegger, False), 'Jones & Krier': (Jones_Krier, False), 'Carman': (Carman, False), 'Hicks': (Hicks, False), 'Brauer': (Brauer, False), 'KTA': (KTA, False), 'Fahien & Schriver': (Fahien_Schriver, False), 'Idelchik': (Idelchik, False), 'Erdim, Akgiray & Demir': (Erdim_Akgiray_Demir, False), 'Harrison, Brunner & Hecker': (Harrison_Brunner_Hecker, True), 'Montillet, Akkari & Comiti': (Montillet_Akkari_Comiti, True), 'Guo, Sun, Zhang, Ding & Liu': (Guo_Sun, True) } def dP_packed_bed_methods(dp, voidage, vs, rho, mu, L=1.0, Dt=None, check_ranges=False): r'''This function handles determining which pressure drop in a packed bed correlation are suitable for the provided inputs. Preferred correlations are 'Erdim, Akgiray & Demir' when tube diameter is not provided, and 'Harrison, Brunner & Hecker' when tube diameter is provided. Examples -------- >>> dP_packed_bed_methods(dp=8E-4, voidage=0.4, vs=1E-3, rho=1E3, mu=1E-3, L=1.0)[0] 'Erdim, Akgiray & Demir' >>> dP_packed_bed_methods(dp=8E-4, voidage=0.4, vs=1E-3, rho=1E3, mu=1E-3, L=1, Dt=1e-2)[0] 'Harrison, Brunner & Hecker' Parameters ---------- dp : float Particle diameter of spheres [m] voidage : float Void fraction of bed packing [-] vs : float Superficial velocity of the fluid (volumetric flow rate/cross-sectional area) [m/s] rho : float Density of the fluid [kg/m^3] mu : float Viscosity of the fluid, [Pa*s] L : float, optional Length the fluid flows in the packed bed [m] Dt : float, optional Diameter of the tube, [m] check_ranges : bool, optional Added for Future use only Returns ------- methods : list List of methods which can be used to calculate `dP` with the given inputs ''' methods = [] if (dp is not None and voidage is not None and vs is not None and rho is not None and mu is not None and L is not None): if Dt is not None: methods = ['Harrison, Brunner & Hecker', 'Montillet, Akkari & Comiti', 'Guo, Sun, Zhang, Ding & Liu'] methods.extend(['Erdim, Akgiray & Demir', 'Idelchik', 'Fahien & Schriver', 'KTA', 'Brauer', 'Hicks', 'Carman', 'Jones & Krier', 'Kuo & Nydegger', 'Tallmadge', 'Ergun']) return methods def dP_packed_bed(dp, voidage, vs, rho, mu, L=1, Dt=None, sphericity=None, Method=None): r'''This function handles choosing which pressure drop in a packed bed correlation is used. Automatically select which correlation to use if none is provided. Returns None if insufficient information is provided. Preferred correlations are 'Erdim, Akgiray & Demir' when tube diameter is not provided, and 'Harrison, Brunner & Hecker' when tube diameter is provided. If you are using a particles in a narrow tube between 2 and 3 particle diameters, expect higher than normal voidages (0.4-0.5) and used the method 'Guo, Sun, Zhang, Ding & Liu'. Examples -------- >>> dP_packed_bed(dp=8E-4, voidage=0.4, vs=1E-3, rho=1E3, mu=1E-3) 1438.2826958844414 >>> dP_packed_bed(dp=8E-4, voidage=0.4, vs=1E-3, rho=1E3, mu=1E-3, Dt=0.01) 1255.1625662548427 >>> dP_packed_bed(dp=0.05, voidage=0.492, vs=0.1, rho=1E3, mu=1E-3, Dt=0.015, Method='Guo, Sun, Zhang, Ding & Liu') 18782.499710673364 Parameters ---------- dp : float Particle diameter of spheres [m] voidage : float Void fraction of bed packing [-] vs : float Superficial velocity of the fluid (volumetric flow rate/cross-sectional area) [m/s] rho : float Density of the fluid [kg/m^3] mu : float Viscosity of the fluid, [Pa*s] L : float, optional Length the fluid flows in the packed bed [m] Dt : float, optional Diameter of the tube, [m] sphericity : float, optional Sphericity of the particles [-] Returns ------- dP : float Pressure drop across the bed [Pa] Other Parameters ---------------- Method : string, optional A string of the function name to use, as in the dictionary packed_beds_correlations ''' if Method is None: Method2 = 'Harrison, Brunner & Hecker' if Dt is not None else 'Erdim, Akgiray & Demir' else: Method2 = Method if dp is not None and sphericity is not None: dp = dp*sphericity if Method2 == "Ergun": return Ergun(dp=dp, voidage=voidage, vs=vs, rho=rho, mu=mu, L=L) elif Method2 == "Tallmadge": return Tallmadge(dp=dp, voidage=voidage, vs=vs, rho=rho, mu=mu, L=L) elif Method2 == "Kuo & Nydegger": return Kuo_Nydegger(dp=dp, voidage=voidage, vs=vs, rho=rho, mu=mu, L=L) elif Method2 == "Jones & Krier": return Jones_Krier(dp=dp, voidage=voidage, vs=vs, rho=rho, mu=mu, L=L) elif Method2 == "Carman": return Carman(dp=dp, voidage=voidage, vs=vs, rho=rho, mu=mu, L=L) elif Method2 == "Hicks": return Hicks(dp=dp, voidage=voidage, vs=vs, rho=rho, mu=mu, L=L) elif Method2 == "Brauer": return Brauer(dp=dp, voidage=voidage, vs=vs, rho=rho, mu=mu, L=L) elif Method2 == "KTA": return KTA(dp=dp, voidage=voidage, vs=vs, rho=rho, mu=mu, L=L) elif Method2 == "Erdim, Akgiray & Demir": return Erdim_Akgiray_Demir(dp=dp, voidage=voidage, vs=vs, rho=rho, mu=mu, L=L) elif Method2 == "Fahien & Schriver": return Fahien_Schriver(dp=dp, voidage=voidage, vs=vs, rho=rho, mu=mu, L=L) elif Method2 == "Idelchik": return Idelchik(dp=dp, voidage=voidage, vs=vs, rho=rho, mu=mu, L=L) elif Method2 == "Harrison, Brunner & Hecker": return Harrison_Brunner_Hecker(dp=dp, voidage=voidage, vs=vs, rho=rho, mu=mu, L=L, Dt=Dt) elif Method2 == "Montillet, Akkari & Comiti": return Montillet_Akkari_Comiti(dp=dp, voidage=voidage, vs=vs, rho=rho, mu=mu, L=L, Dt=Dt) elif Method2 == "Guo, Sun, Zhang, Ding & Liu": return Guo_Sun(dp=dp, voidage=voidage, vs=vs, rho=rho, mu=mu, L=L, Dt=Dt) else: raise ValueError('Unrecognized method') #import matplotlib.pyplot as plt #import numpy as np # #voidage = 0.4 #rho = 1000. #mu = 1E-3 #vs = 0.1 #dp = 0.0001 #methods = dP_packed_bed(dp, voidage, vs, rho, mu, L=1, AvailableMethods=True) #dps = np.logspace(-4, -1, 100) # #for method in methods: # dPs = [dP_packed_bed(dp, voidage, vs, rho, mu, Method=method) for dp in dps] # plt.semilogx(dps, dPs, label=method) #plt.legend() #plt.show() ### Voidage correlations def voidage_Benyahia_Oneil(Dpe, Dt, sphericity): r'''Calculates voidage of a bed of arbitrarily shaped uniform particles packed into a bed or tube of diameter `Dt`, with equivalent sphere diameter `Dp`. Shown in [1]_, and cited by various authors. Correlations exist also for spheres, solid cylinders, hollow cylinders, and 4-hole cylinders. Based on a series of physical measurements. .. math:: \epsilon = 0.1504 + \frac{0.2024}{\phi} + \frac{1.0814} {\left(\frac{d_{t}}{d_{pe}}+0.1226\right)^2} Parameters ---------- Dpe : float Equivalent spherical particle diameter (diameter of a sphere with the same volume), [m] Dt : float Diameter of the tube, [m] sphericity : float Sphericity of particles in bed [] Returns ------- voidage : float Void fraction of bed packing [] Notes ----- Average error of 5.2%; valid 1.5 < dtube/dp < 50 and 0.42 < sphericity < 1 Examples -------- >>> voidage_Benyahia_Oneil(Dpe=1E-3, Dt=1E-2, sphericity=.8) 0.41395363849210065 References ---------- .. [1] Benyahia, F., and K. E. O’Neill. "Enhanced Voidage Correlations for Packed Beds of Various Particle Shapes and Sizes." Particulate Science and Technology 23, no. 2 (April 1, 2005): 169-77. doi:10.1080/02726350590922242. ''' return 0.1504 + 0.2024/sphericity + 1.0814/(Dt/Dpe + 0.1226)**2 def voidage_Benyahia_Oneil_spherical(Dp, Dt): r'''Calculates voidage of a bed of spheres packed into a bed or tube of diameter `Dt`, with sphere diameters `Dp`. Shown in [1]_, and cited by various authors. Correlations exist also for solid cylinders, hollow cylinders, and 4-hole cylinders. Based on a series of physical measurements. .. math:: \epsilon = 0.390+\frac{1.740}{\left(\frac{d_{cyl}}{d_p}+1.140\right)^2} Parameters ---------- Dp : float Spherical particle diameter, [m] Dt : float Diameter of the tube, [m] Returns ------- voidage : float Void fraction of bed packing [] Notes ----- Average error 1.5%, 1.5 < ratio < 50. Examples -------- >>> voidage_Benyahia_Oneil_spherical(Dp=.001, Dt=.05) 0.3906653157443224 References ---------- .. [1] Benyahia, F., and K. E. O’Neill. "Enhanced Voidage Correlations for Packed Beds of Various Particle Shapes and Sizes." Particulate Science and Technology 23, no. 2 (April 1, 2005): 169-77. doi:10.1080/02726350590922242. ''' return 0.390 + 1.740/(Dt/Dp + 1.140)**2 def voidage_Benyahia_Oneil_cylindrical(Dpe, Dt, sphericity): r'''Calculates voidage of a bed of cylindrical uniform particles packed into a bed or tube of diameter `Dt`, with equivalent sphere diameter `Dpe`. Shown in [1]_, and cited by various authors. Correlations exist also for spheres, solid cylinders, hollow cylinders, and 4-hole cylinders. Based on a series of physical measurements. .. math:: \epsilon = 0.373+\frac{1.703}{\left(\frac{d_{cyl}}{d_p}+0.611\right)^2} Parameters ---------- Dpe : float Equivalent spherical particle diameter (diameter of a sphere with the same volume), [m] Dt : float Diameter of the tube, [m] sphericity : float Sphericity of particles in bed [] Returns ------- voidage : float Void fraction of bed packing [] Notes ----- Average error 1.6%; 1.7 < ratio < 26.3. Examples -------- >>> voidage_Benyahia_Oneil_cylindrical(Dpe=.01, Dt=.1, sphericity=.6) 0.38812523109607894 References ---------- .. [1] Benyahia, F., and K. E. O’Neill. "Enhanced Voidage Correlations for Packed Beds of Various Particle Shapes and Sizes." Particulate Science and Technology 23, no. 2 (April 1, 2005): 169-77. doi:10.1080/02726350590922242. ''' return 0.373 + 1.703/(Dt/Dpe + 0.611)**2 fluids-1.0.22/fluids/atmosphere.pyi0000644000175000017500000000574214302004506016572 0ustar nileshnilesh# DO NOT EDIT - AUTOMATICALLY GENERATED BY tests/make_test_stubs.py! from __future__ import annotations from typing import List from datetime import datetime from typing import ( Callable, List, Optional, Tuple, Union, ) def H_for_P_ATMOSPHERE_1976_err(H: float, P1: float) -> float: ... def _get_extra_radiation_shim( datetime_or_doy: int, solar_constant: float = ..., method: str = ..., epoch_year: int = ..., **kwargs ) -> float: ... def airmass( func: Callable, angle: float, H_max: float = ..., R_planet: float = ..., RI: float = ... ) -> float: ... def earthsun_distance(moment: datetime) -> float: ... def hwm14( Z: float, latitude: float = ..., longitude: float = ..., day: float = ..., seconds: float = ..., geomagnetic_disturbance_index: float = ... ) -> Tuple[float, float]: ... def hwm93( Z: float, latitude: float = ..., longitude: float = ..., day: float = ..., seconds: float = ..., f107: float = ..., f107_avg: float = ..., geomagnetic_disturbance_index: float = ... ) -> Tuple[float, float]: ... def solar_irradiation( latitude: float, longitude: float, Z: float, moment: datetime, surface_tilt: float, surface_azimuth: float, T: None = ..., P: None = ..., solar_constant: float = ..., atmos_refract: float = ..., albedo: float = ..., linke_turbidity: Optional[int] = ..., extraradiation_method: str = ..., airmass_model: str = ..., cache: None = ... ) -> Tuple[float, float, float, float, float]: ... def solar_position( moment: datetime, latitude: float, longitude: float, Z: float = ..., T: float = ..., P: float = ..., atmos_refract: float = ... ) -> List[float]: ... def sunrise_sunset( moment: datetime, latitude: float, longitude: float ) -> Tuple[datetime, datetime, datetime]: ... def to_int_airmass(Z: float, c1: float, c2: float, angle_term: float, R_planet_inv: float, func: Callable) -> float: ... def to_int_dP_ATMOSPHERE_1976(Z: float, dT: float) -> float: ... class ATMOSPHERE_1976: def __init__(self, Z: float, dT: float = ...) -> None: ... @staticmethod def _get_ind_from_H(H: float) -> int: ... @staticmethod def density(T: float, P: float) -> float: ... @staticmethod def gravity(Z: float) -> float: ... @staticmethod def pressure_integral(T1: float, P1: float, dH: float) -> float: ... @staticmethod def sonic_velocity(T: float) -> float: ... @staticmethod def thermal_conductivity(T: float) -> float: ... @staticmethod def viscosity(T: float) -> float: ... class ATMOSPHERE_NRLMSISE00: def __init__( self, Z: float, latitude: float = ..., longitude: float = ..., day: int = ..., seconds: float = ..., f107: float = ..., f107_avg: float = ..., geomagnetic_disturbance_indices: None = ... ) -> None: ... __all__: List[str]fluids-1.0.22/fluids/pump.py0000644000175000017500000020523714302004506015234 0ustar nileshnilesh# -*- coding: utf-8 -*- """Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2016, Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. This module contains correlations for calculating the efficiency of a pump, motor, or VFD. It also contains some functions for modeling the performance of a pump, and has been adapted to contain electrical information relevant to chemical engineering design. For reporting bugs, adding feature requests, or submitting pull requests, please use the `GitHub issue tracker `_ or contact the author at Caleb.Andrew.Bell@gmail.com. .. contents:: :local: Pump Efficiency --------------- .. autofunction :: Corripio_pump_efficiency Motor Efficiency ---------------- .. autofunction :: CSA_motor_efficiency .. autofunction :: motor_efficiency_underloaded .. autofunction :: Corripio_motor_efficiency VFD Efficiency -------------- .. autofunction :: VFD_efficiency Pump Utilities -------------- .. autofunction :: specific_speed .. autofunction :: specific_diameter .. autofunction :: speed_synchronous Motor Utilities --------------- .. autofunction :: motor_round_size .. autodata :: nema_sizes .. autodata :: nema_sizes_hp Electrical Utilities -------------------- .. autofunction :: current_ideal .. autoclass :: CountryPower .. autodata :: electrical_plug_types .. autodata :: voltages_1_phase_residential .. autodata :: voltages_3_phase .. autodata :: residential_power_frequencies .. autodata :: industrial_power .. autodata :: residential_power """ from __future__ import division from math import log, sqrt from fluids.constants import hp from fluids.numerics import interp, tck_interp2d_linear, bisplev __all__ = ['VFD_efficiency', 'CSA_motor_efficiency', 'motor_efficiency_underloaded', 'Corripio_pump_efficiency', 'Corripio_motor_efficiency', 'specific_speed', 'specific_diameter', 'speed_synchronous', 'nema_sizes', 'nema_sizes_hp', 'motor_round_size', 'nema_min_P', 'nema_high_P', 'electrical_plug_types', 'voltages_1_phase_residential', 'voltages_3_phase', 'residential_power_frequencies', 'residential_power', 'industrial_power', 'current_ideal', 'CountryPower'] def Corripio_pump_efficiency(Q): r'''Estimates pump efficiency using the method in Corripio (1982) as shown in [1]_ and originally in [2]_. Estimation only .. math:: \eta_P = -0.316 + 0.24015\ln(Q) - 0.01199\ln(Q)^2 Parameters ---------- Q : float Volumetric flow rate, [m^3/s] Returns ------- efficiency : float Pump efficiency, [-] Notes ----- For Centrifugal pumps only. Range is 50 to 5000 GPM, but input variable is in metric. Values above this range and below this range will go negative, although small deviations are acceptable. Example 16.5 in [1]_. Examples -------- >>> Corripio_pump_efficiency(461./15850.323) 0.705888867095162 References ---------- .. [1] Seider, Warren D., J. D. Seader, and Daniel R. Lewin. Product and Process Design Principles: Synthesis, Analysis, and Evaluation. 2 edition. New York: Wiley, 2003. .. [2] Corripio, A.B., K.S. Chrien, and L.B. Evans, "Estimate Costs of Centrifugal Pumps and Electric Motors," Chem. Eng., 89, 115-118, February 22 (1982). ''' Q *= 15850.323 logQ = log(Q) return -0.316 + 0.24015*logQ - 0.01199*logQ*logQ def Corripio_motor_efficiency(P): r'''Estimates motor efficiency using the method in Corripio (1982) as shown in [1]_ and originally in [2]_. Estimation only. .. math:: \eta_M = 0.8 + 0.0319\ln(P_B) - 0.00182\ln(P_B)^2 Parameters ---------- P : float Power, [W] Returns ------- efficiency : float Motor efficiency, [-] Notes ----- Example 16.5 in [1]_. Examples -------- >>> Corripio_motor_efficiency(137*745.7) 0.9128920875679222 References ---------- .. [1] Seider, Warren D., J. D. Seader, and Daniel R. Lewin. Product and Process Design Principles: Synthesis, Analysis, and Evaluation. 2 edition. New York: Wiley, 2003. .. [2] Corripio, A.B., K.S. Chrien, and L.B. Evans, "Estimate Costs of Centrifugal Pumps and Electric Motors," Chem. Eng., 89, 115-118, February 22 (1982). ''' P = P/745.69987 logP = log(P) return 0.8 + 0.0319*logP - 0.00182*logP*logP VFD_efficiencies = [[0.31, 0.77, 0.86, 0.9, 0.91, 0.93, 0.94], [0.35, 0.8, 0.88, 0.91, 0.92, 0.94, 0.95], [0.41, 0.83, 0.9, 0.93, 0.94, 0.95, 0.96], [0.47, 0.86, 0.93, 0.94, 0.95, 0.96, 0.97], [0.5, 0.88, 0.93, 0.95, 0.95, 0.96, 0.97], [0.46, 0.86, 0.92, 0.95, 0.95, 0.96, 0.97], [0.51, 0.87, 0.92, 0.95, 0.95, 0.96, 0.97], [0.47, 0.86, 0.93, 0.95, 0.96, 0.97, 0.97], [0.55, 0.89, 0.94, 0.95, 0.96, 0.97, 0.97], [0.61, 0.91, 0.95, 0.96, 0.96, 0.97, 0.97], [0.61, 0.91, 0.95, 0.96, 0.96, 0.97, 0.97]] VFD_efficiency_loads = [0.016, 0.125, 0.25, 0.42, 0.5, 0.75, 1.0] VFD_efficiency_powers = [3.0, 5.0, 10.0, 20.0, 30.0, 50.0, 60.0, 75.0, 100.0, 200.0, 400.0] VFD_efficiency_tck = tck_interp2d_linear(VFD_efficiency_loads, VFD_efficiency_powers, VFD_efficiencies) def VFD_efficiency(P, load=1): r'''Returns the efficiency of a Variable Frequency Drive according to [1]_. These values are generic, and not standardized as minimum values. Older VFDs often have much worse performance. Parameters ---------- P : float Power, [W] load : float, optional Fraction of motor's rated electrical capacity being used Returns ------- efficiency : float VFD efficiency, [-] Notes ----- The use of a VFD does change the characteristics of a pump curve's efficiency, but this has yet to be quantified. The effect is small. This value should be multiplied by the product of the pump and motor efficiency to determine the overall efficiency. Efficiency table is in units of hp, so a conversion is performed internally. If load not specified, assumed 1 - where maximum efficiency occurs. Table extends down to 3 hp and up to 400 hp; values outside these limits are rounded to the nearest known value. Values between standardized sizes are interpolated linearly. Load values extend down to 0.016. The table used is for Pulse Width Modulation (PWM) VFDs. Examples -------- >>> VFD_efficiency(10*hp) 0.96 >>> VFD_efficiency(100*hp, load=0.2) 0.92 References ---------- .. [1] GoHz.com. Variable Frequency Drive Efficiency. http://www.variablefrequencydrive.org/vfd-efficiency ''' P = P/hp # convert to hp if P < 3.0: P = 3.0 elif P > 400.0: P = 400.0 if load < 0.016: load = 0.016 return round(float(bisplev(load, P, VFD_efficiency_tck)), 4) nema_sizes_hp = [0.25, 0.3333333333333333, 0.5, 0.75, 1.0, 1.5, 2.0, 3.0, 4.0, 5.0, 5.5, 7.5, 10.0, 15.0, 20.0, 25.0, 30.0, 40.0, 50.0, 60.0, 75.0, 100.0, 125.0, 150.0, 175.0, 200.0, 250.0, 300.0, 350.0, 400.0, 450.0, 500.0] '''list: all NEMA motor sizes in increasing order, in horsepower. ''' nema_sizes = [i*hp for i in nema_sizes_hp] '''list: all NEMA motor sizes in increasing order, in Watts. ''' def motor_round_size(P): r'''Rounds up the power for a motor to the nearest NEMA standard power. The returned power is always larger or equal to the input power. Parameters ---------- P : float Power, [W] Returns ------- P_actual : float Actual power, equal to or larger than input [W] Notes ----- An exception is raised if the power required is larger than any of the NEMA sizes. Larger motors are available, but are unstandardized. Examples -------- >>> motor_round_size(1E5) 111854.98073734052 References ---------- .. [1] Natural Resources Canada. Electric Motors (1 to 500 HP/0.746 to 375 kW). As modified 2015-12-17. https://www.nrcan.gc.ca/energy/regulations-codes-standards/products/6885 ''' for P_actual in nema_sizes: if P_actual >= P: return P_actual raise ValueError('Required power is larger than can be provided with one motor') nema_high_P = [1.0, 1.5, 2.0, 3.0, 4.0, 5.0, 5.5, 7.5, 10.0, 15.0, 20.0, 25.0, 30.0, 40.0, 50.0, 60.0, 75.0, 100.0, 125.0, 150.0, 175.0, 200.0] nema_high_full_open_2p = [0.77, 0.84, 0.855, 0.855, 0.865, 0.865, 0.865, 0.885, 0.895, 0.902, 0.91, 0.917, 0.917, 0.924, 0.93, 0.936, 0.936, 0.936, 0.941, 0.941, 0.95, 0.95] nema_high_full_open_4p = [0.855, 0.865, 0.865, 0.895, 0.895, 0.895, 0.895, 0.91, 0.917, 0.93, 0.93, 0.936, 0.941, 0.941, 0.945, 0.95, 0.95, 0.954, 0.954, 0.958, 0.958, 0.958] nema_high_full_open_6p = [0.825, 0.865, 0.875, 0.885, 0.895, 0.895, 0.895, 0.902, 0.917, 0.917, 0.924, 0.93, 0.936, 0.941, 0.941, 0.945, 0.945, 0.95, 0.95, 0.954, 0.954, 0.954] nema_high_full_closed_2p = [0.77, 0.84, 0.855, 0.865, 0.885, 0.885, 0.885, 0.895, 0.902, 0.91, 0.91, 0.917, 0.917, 0.924, 0.93, 0.936, 0.936, 0.941, 0.95, 0.95, 0.954, 0.954] nema_high_full_closed_4p = [0.855, 0.865, 0.865, 0.895, 0.895, 0.895, 0.895, 0.917, 0.917, 0.924, 0.93, 0.936, 0.936, 0.941, 0.945, 0.95, 0.954, 0.954, 0.954, 0.958, 0.962, 0.962] nema_high_full_closed_6p = [0.825, 0.875, 0.885, 0.895, 0.895, 0.895, 0.895, 0.91, 0.91, 0.917, 0.917, 0.93, 0.93, 0.941, 0.941, 0.945, 0.945, 0.95, 0.95, 0.958, 0.958, 0.958] nema_min_P = [1.0, 1.5, 2.0, 3.0, 4.0, 5.0, 5.5, 7.5, 10.0, 15.0, 20.0, 25.0, 30.0, 40.0, 50.0, 60.0, 75.0, 100.0, 125.0, 150.0, 175.0, 200.0, 250.0, 300.0, 350.0, 400.0, 450.0, 500.0] nema_min_full_open_2p = [0.755, 0.825, 0.84, 0.84, 0.84, 0.855, 0.855, 0.875, 0.885, 0.895, 0.902, 0.91, 0.91, 0.917, 0.924, 0.93, 0.93, 0.93, 0.936, 0.936, 0.945, 0.945, 0.945, 0.95, 0.95, 0.954, 0.958, 0.958] nema_min_full_open_4p = [0.825, 0.84, 0.84, 0.865, 0.865, 0.875, 0.875, 0.885, 0.895, 0.91, 0.91, 0.917, 0.924, 0.93, 0.93, 0.936, 0.941, 0.941, 0.945, 0.95, 0.95, 0.95, 0.954, 0.954, 0.954, 0.954, 0.958, 0.958] nema_min_full_open_6p = [0.8, 0.84, 0.855, 0.865, 0.865, 0.875, 0.875, 0.885, 0.902, 0.902, 0.91, 0.917, 0.924, 0.93, 0.93, 0.936, 0.936, 0.941, 0.941, 0.945, 0.945, 0.945, 0.954, 0.954, 0.954, 0.954, 0.954, 0.954] nema_min_full_open_8p = [0.74, 0.755, 0.855, 0.865, 0.865, 0.875, 0.875, 0.885, 0.895, 0.895, 0.902, 0.902, 0.91, 0.91, 0.917, 0.924, 0.936, 0.936, 0.936, 0.936, 0.936, 0.936, 0.945, 0.945, 0.945, 0.945, 0.945, 0.945] nema_min_full_closed_2p = [0.755, 0.825, 0.84, 0.855, 0.855, 0.875, 0.875, 0.885, 0.895, 0.902, 0.902, 0.91, 0.91, 0.917, 0.924, 0.93, 0.93, 0.936, 0.945, 0.945, 0.95, 0.95, 0.954, 0.954, 0.954, 0.954, 0.954, 0.954] nema_min_full_closed_4p = [0.825, 0.84, 0.84, 0.875, 0.875, 0.875, 0.875, 0.895, 0.895, 0.91, 0.91, 0.924, 0.924, 0.93, 0.93, 0.936, 0.941, 0.945, 0.945, 0.95, 0.95, 0.95, 0.95, 0.954, 0.954, 0.954, 0.954, 0.958] nema_min_full_closed_6p = [0.8, 0.855, 0.865, 0.875, 0.875, 0.875, 0.875, 0.895, 0.895, 0.902, 0.902, 0.917, 0.917, 0.93, 0.93, 0.936, 0.936, 0.941, 0.941, 0.95, 0.95, 0.95, 0.95, 0.95, 0.95, 0.95, 0.95, 0.95] nema_min_full_closed_8p = [0.74, 0.77, 0.825, 0.84, 0.84, 0.855, 0.855, 0.855, 0.885, 0.885, 0.895, 0.895, 0.91, 0.91, 0.917, 0.917, 0.93, 0.93, 0.936, 0.936, 0.941, 0.941, 0.945, 0.945, 0.945, 0.945, 0.945, 0.945] nema_min_full_open_2p_i = (nema_min_P, nema_min_full_open_2p) nema_min_full_open_4p_i = (nema_min_P, nema_min_full_open_4p) nema_min_full_open_6p_i = (nema_min_P, nema_min_full_open_6p) nema_min_full_open_8p_i = (nema_min_P, nema_min_full_open_8p) nema_min_full_closed_2p_i = (nema_min_P, nema_min_full_closed_2p) nema_min_full_closed_4p_i = (nema_min_P, nema_min_full_closed_4p) nema_min_full_closed_6p_i = (nema_min_P, nema_min_full_closed_6p) nema_min_full_closed_8p_i = (nema_min_P, nema_min_full_closed_8p) def CSA_motor_efficiency(P, closed=False, poles=2, high_efficiency=False): r'''Returns the efficiency of a NEMA motor according to [1]_. These values are standards, but are only for full-load operation. Parameters ---------- P : float Power, [W] closed : bool, optional Whether or not the motor is enclosed poles : int, optional The number of poles of the motor high_efficiency : bool, optional Whether or not to look up the high-efficiency value Returns ------- efficiency : float Guaranteed full-load motor efficiency, [-] Notes ----- Criteria for being required to meet the high-efficiency standard is: * Designed for continuous operation * Operates by three-phase induction * Is a squirrel-cage or cage design * Is NEMA type A, B, or C with T or U frame; or IEC design N or H * Is designed for single-speed operation * Has a nominal voltage of less than 600 V AC * Has a nominal frequency of 60 Hz or 50/60 Hz * Has 2, 4, or 6 pole construction * Is either open or closed Pretty much every motor is required to meet the low-standard efficiency table, however. Several low-efficiency standard high power values were added to allow for easy programming; values are the last listed efficiency in the table. Examples -------- >>> CSA_motor_efficiency(100*hp) 0.93 >>> CSA_motor_efficiency(100*hp, closed=True, poles=6, high_efficiency=True) 0.95 References ---------- .. [1] Natural Resources Canada. Electric Motors (1 to 500 HP/0.746 to 375 kW). As modified 2015-12-17. https://www.nrcan.gc.ca/energy/regulations-codes-standards/products/6885 ''' P = P/hp # This could be replaced by a dict and a jump list if high_efficiency: if closed: if poles == 2: efficiency = interp(P, nema_high_P, nema_high_full_closed_2p) elif poles == 4: efficiency = interp(P, nema_high_P, nema_high_full_closed_4p) elif poles == 6: efficiency = interp(P, nema_high_P, nema_high_full_closed_6p) else: if poles == 2: efficiency = interp(P, nema_high_P, nema_high_full_open_2p) elif poles == 4: efficiency = interp(P, nema_high_P, nema_high_full_open_4p) elif poles == 6: efficiency = interp(P, nema_high_P, nema_high_full_open_6p) else: if closed: if poles == 2: efficiency = interp(P, nema_min_P, nema_min_full_closed_2p) elif poles == 4: efficiency = interp(P, nema_min_P, nema_min_full_closed_4p) elif poles == 6: efficiency = interp(P, nema_min_P, nema_min_full_closed_6p) elif poles == 8: efficiency = interp(P, nema_min_P, nema_min_full_closed_8p) else: if poles == 2: efficiency = interp(P, nema_min_P, nema_min_full_open_2p) elif poles == 4: efficiency = interp(P, nema_min_P, nema_min_full_open_4p) elif poles == 6: efficiency = interp(P, nema_min_P, nema_min_full_open_6p) elif poles == 8: efficiency = interp(P, nema_min_P, nema_min_full_open_8p) return round(efficiency, 4) _to_1 = [0.015807118828266818, 4.3158627514876216, -8.5612097969025438, 8.2040355039147386, -3.0147603718043068] _to_5 = [0.015560190519232379, 4.5699731811493152, -7.6800154569463883, 5.4701698738380813, -1.3630071852989643] _to_10 = [0.059917274403963446, 6.356781885851186, -17.099192527703369, 20.707077651470666, -9.2215133149377841] _to_25 = [0.29536141765389839, 4.9918188632064329, -13.785081664656504, 16.908273659093812, -7.5816775136809609] _to_60 = [0.46934299949154384, 4.0298663805446004, -11.632822556859477, 14.616967043793032, -6.6284514347522245] _to_infty = [0.68235730304242914, 2.4402956771025748, -6.8306770996860182, 8.2108432911172713, -3.5629309804411577] _efficiency_lists = [_to_1, _to_5, _to_10, _to_25, _to_60, _to_infty] _efficiency_ones = [0.9218102, 0.64307597, 0.61724113, 0.61569791, 0.6172238, 0.40648294] def motor_efficiency_underloaded(P, load=0.5): r'''Returns the efficiency of a motor operating under its design power according to [1]_.These values are generic; manufacturers usually list 4 points on their product information, but full-scale data is hard to find and not regulated. Parameters ---------- P : float Power, [W] load : float, optional Fraction of motor's rated electrical capacity being used Returns ------- efficiency : float Motor efficiency, [-] Notes ----- If the efficiency returned by this function is unattractive, use a VFD. The curves used here are polynomial fits to [1]_'s graph, and curves were available for the following motor power ranges: 0-1 hp, 1.5-5 hp, 10 hp, 15-25 hp, 30-60 hp, 75-100 hp If above the upper limit of one range, the next value is returned. Examples -------- >>> motor_efficiency_underloaded(1*hp) 0.8705179600980149 >>> motor_efficiency_underloaded(10.1*hp, .1) 0.6728425932357025 References ---------- .. [1] Washington State Energy Office. Energy-Efficient Electric Motor Selection Handbook. 1993. ''' P = P/hp if P <= 1.0: i = 0 elif P <= 5.0: i = 1 elif P <= 10.0: i = 2 elif P <= 25.0: i = 3 elif P <= 60: i = 4 else: i = 5 if load > _efficiency_ones[i]: return 1 else: cs = _efficiency_lists[i] return cs[0] + cs[1]*load + cs[2]*load**2 + cs[3]*load**3 + cs[4]*load**4 def specific_speed(Q, H, n=3600.): r'''Returns the specific speed of a pump operating at a specified Q, H, and n. .. math:: n_S = \frac{n\sqrt{Q}}{H^{0.75}} Parameters ---------- Q : float Flow rate, [m^3/s] H : float Head generated by the pump, [m] n : float, optional Speed of pump [rpm] Returns ------- nS : float Specific Speed, [rpm*m^0.75/s^0.5] Notes ----- Defined at the BEP, with maximum fitting diameter impeller, at a given rotational speed. Examples -------- Example from [1]_. >>> specific_speed(0.0402, 100, 3550) 22.50823182748925 References ---------- .. [1] HI 1.3 Rotodynamic Centrifugal Pumps for Design and Applications ''' return n*sqrt(Q)/H**0.75 def specific_diameter(Q, H, D): r'''Returns the specific diameter of a pump operating at a specified Q, H, and D. .. math:: D_s = \frac{DH^{1/4}}{\sqrt{Q}} Parameters ---------- Q : float Flow rate, [m^3/s] H : float Head generated by the pump, [m] D : float Pump impeller diameter [m] Returns ------- Ds : float Specific diameter, [m^0.25/s^0.5] Notes ----- Used in certain pump sizing calculations. Examples -------- >>> specific_diameter(Q=0.1, H=10., D=0.1) 0.5623413251903492 References ---------- .. [1] Green, Don, and Robert Perry. Perry's Chemical Engineers' Handbook, Eighth Edition. McGraw-Hill Professional, 2007. ''' return D*sqrt(sqrt(H)/Q) def speed_synchronous(f, poles=2, phase=3): r'''Returns the synchronous speed of a synchronous motor according to [1]_. .. math:: N_s = \frac{120 f \cdot\text{phase}}{\text{poles}} Parameters ---------- f : float Line frequency, [Hz] poles : int, optional The number of poles of the motor phase : int, optional Line AC phase Returns ------- Ns : float Speed of synchronous motor, [rpm] Notes ----- Synchronous motors have no slip. Large synchronous motors are not self-starting. Examples -------- >>> speed_synchronous(50, poles=12) 1500.0 >>> speed_synchronous(60, phase=1) 3600.0 References ---------- .. [1] All About Circuits. Synchronous Motors. Chapter 13 - AC Motors http://www.allaboutcircuits.com/textbook/alternating-current/chpt-13/synchronous-motors/ ''' return 120.*f*phase/poles def current_ideal(P, V, phase=3, PF=1): r'''Returns the current drawn by a motor of power `P` operating at voltage `V`, with line AC of phase `phase` and power factor `PF` according to [1]_. Single-phase power: .. math:: I = \frac{P}{V \cdot \text{PF}} 3-phase power: .. math:: I = \frac{P}{V \cdot \text{PF} \sqrt{3}} Parameters ---------- P : float Power, [W] V : float Voltage, [V] phase : int, optional Line AC phase, either 1 or 3 PF : float, optional Power factor of motor Returns ------- I : float Power drawn by motor, [A] Notes ----- Does not include power used by the motor's fan, or startor, or internal losses. These are all significant. Examples -------- >>> current_ideal(V=120, P=1E4, PF=1, phase=1) 83.33333333333333 References ---------- .. [1] Electrical Construction, and Maintenance. "Calculating Single- and 3-Phase Parameters." April 1, 2008. http://ecmweb.com/basics/calculating-single-and-3-phase-parameters. ''' if phase not in [1, 3]: raise ValueError('Only 1 and 3 phase power supported') if phase == 3: return P/(V*sqrt(3)*PF) else: return P/(V*PF) class CountryPower(object): """Class to hold information on the residential or electrical data of a country. Data from Wikipedia, obtained in 2017. Parameters ---------- plugs : tuple(str) Tuple of residential plug letter codes in use in the country, [-] voltage : float or tuple(float) Voltage or voltages in common use of the country (residential data has one voltage; industrial data has multiple often), [V] freq : float The electrical frequency in use in the country, [Hz] country : str The name of the country, [-] """ __slots__ = ('plugs', 'voltage', 'freq', 'country') def __repr__(self): return ('CountryPower(country="%s", voltage=%s, freq=%d, plugs=%s)' %(self.plugs, self.voltage, self.freq, self.country)) def __init__(self, country, voltage, freq, plugs=None): self.plugs = plugs self.voltage = voltage self.freq = freq self.country = country residential_power = { "at": CountryPower(plugs=('C', 'F'), voltage=230, freq=50, country="Austria"), "bj": CountryPower(plugs=('C', 'E'), voltage=220, freq=50, country="Benin"), "gh": CountryPower(plugs=('D', 'G'), voltage=230, freq=50, country="Ghana"), "sc": CountryPower(plugs=('G',), voltage=240, freq=50, country="Seychelles"), "bg": CountryPower(plugs=('C', 'F'), voltage=230, freq=50, country="Bulgaria"), "me": CountryPower(plugs=('C', 'F'), voltage=230, freq=50, country="Montenegro"), "fo": CountryPower(plugs=('C', 'E', 'F', 'K'), voltage=230, freq=50, country="Faroe Islands"), "ne": CountryPower(plugs=('A', 'B', 'C', 'D', 'E', 'F'), voltage=220, freq=50, country="Niger"), "za": CountryPower(plugs=('C', 'F', 'M', 'N'), voltage=230, freq=50, country="South Africa"), "az": CountryPower(plugs=('C', 'F'), voltage=230, freq=50, country="Azerbaijan"), "so": CountryPower(plugs=('C',), voltage=220, freq=50, country="Somalia"), "sn": CountryPower(plugs=('C', 'D', 'E', 'K'), voltage=230, freq=50, country="Senegal"), "np": CountryPower(plugs=('C', 'D', 'M'), voltage=230, freq=50, country="Nepal"), "sl": CountryPower(plugs=('D', 'G'), voltage=230, freq=50, country="Sierra Leone"), "be": CountryPower(plugs=('C', 'E'), voltage=230, freq=50, country="Belgium"), "vg": CountryPower(plugs=('A', 'B'), voltage=110, freq=60, country="British Virgin Islands"), "bz": CountryPower(plugs=('A', 'B', 'G'), voltage=110, freq=60, country="Belize"), "tw": CountryPower(plugs=('A', 'B'), voltage=110, freq=60, country="Taiwan"), "bf": CountryPower(plugs=('C', 'E'), voltage=220, freq=50, country="Burkina Faso"), "ao": CountryPower(plugs=('C',), voltage=220, freq=50, country="Angola"), "gi": CountryPower(plugs=('C', 'G'), voltage=240, freq=50, country="Gibraltar"), "ee": CountryPower(plugs=('C', 'F'), voltage=230, freq=50, country="Estonia"), "bs": CountryPower(plugs=('A', 'B'), voltage=120, freq=60, country="Bahamas"), "ir": CountryPower(plugs=('C', 'F'), voltage=220, freq=50, country="Iran"), "sv": CountryPower(plugs=('A', 'B'), voltage=115, freq=60, country="El Salvador"), "am": CountryPower(plugs=('C', 'F'), voltage=230, freq=50, country="Armenia"), "is": CountryPower(plugs=('C', 'F'), voltage=230, freq=50, country="Iceland"), "uy": CountryPower(plugs=('C', 'F', 'I', 'L'), voltage=230, freq=50, country="Uruguay"), "mc": CountryPower(plugs=('C', 'D', 'E', 'F'), voltage=230, freq=50, country="Monaco"), "jm": CountryPower(plugs=('A', 'B'), voltage=110, freq=50, country="Jamaica"), "im": CountryPower(plugs=('G',), voltage=240, freq=50, country="Isle of Man"), "dm": CountryPower(plugs=('D', 'G'), voltage=230, freq=50, country="Dominica"), "mu": CountryPower(plugs=('C', 'G'), voltage=230, freq=50, country="Mauritius"), "cz": CountryPower(plugs=('C', 'E'), voltage=230, freq=50, country="Czech Republic"), "kh": CountryPower(plugs=('A', 'C', 'G'), voltage=230, freq=50, country="Cambodia"), "cf": CountryPower(plugs=('C', 'E'), voltage=220, freq=50, country="Central African Republic"), "se": CountryPower(plugs=('C', 'F'), voltage=230, freq=50, country="Sweden"), "uz": CountryPower(plugs=('C', 'I'), voltage=220, freq=50, country="Uzbekistan"), "sk": CountryPower(plugs=('C', 'E'), voltage=230, freq=50, country="Slovakia"), "ky": CountryPower(plugs=('A', 'B'), voltage=120, freq=60, country="Cayman Islands"), "tn": CountryPower(plugs=('C', 'E'), voltage=230, freq=50, country="Tunisia"), "do": CountryPower(plugs=('A', 'B'), voltage=110, freq=60, country="Dominican Republic"), "hu": CountryPower(plugs=('C', 'F'), voltage=230, freq=50, country="Hungary"), "af": CountryPower(plugs=('C', 'F'), voltage=220, freq=50, country="Afghanistan"), "et": CountryPower(plugs=('C', 'E', 'F', 'L'), voltage=220, freq=50, country="Ethiopia"), "tv": CountryPower(plugs=('I',), voltage=220, freq=50, country="Tuvalu"), "ad": CountryPower(plugs=('C', 'F'), voltage=230, freq=50, country="Andorra"), "hn": CountryPower(plugs=('A', 'B'), voltage=110, freq=60, country="Honduras"), "ls": CountryPower(plugs=('M',), voltage=220, freq=50, country="Lesotho"), "na": CountryPower(plugs=('D', 'M'), voltage=220, freq=50, country="Namibia"), "jo": CountryPower(plugs=('B', 'C', 'D', 'F', 'G', 'J'), voltage=230, freq=50, country="Jordan"), "pl": CountryPower(plugs=('C', 'E'), voltage=230, freq=50, country="Poland"), "bt": CountryPower(plugs=('C', 'D', 'F', 'G', 'M'), voltage=230, freq=50, country="Bhutan"), "fm": CountryPower(plugs=('A', 'B'), voltage=120, freq=60, country="Micronesia"), "no": CountryPower(plugs=('C', 'F'), voltage=230, freq=50, country="Norway"), "fk": CountryPower(plugs=('G',), voltage=240, freq=50, country="Falkland Islands"), "je": CountryPower(plugs=('G',), voltage=230, freq=50, country="Jersey"), "ye": CountryPower(plugs=('A', 'D', 'G'), voltage=230, freq=50, country="Yemen"), "cm": CountryPower(plugs=('C', 'E'), voltage=220, freq=50, country="Cameroon"), "md": CountryPower(plugs=('C', 'F'), voltage=220, freq=50, country="Moldova"), "cn": CountryPower(plugs=('A', 'I', 'C'), voltage=220, freq=50, country="China"), "gm": CountryPower(plugs=('G',), voltage=230, freq=50, country="Gambia"), "sg": CountryPower(plugs=('C', 'G', 'M'), voltage=230, freq=50, country="Singapore"), "tj": CountryPower(plugs=('C', 'F', 'I'), voltage=220, freq=50, country="Tajikistan"), "gt": CountryPower(plugs=('A', 'B'), voltage=120, freq=60, country="Guatemala"), "ma": CountryPower(plugs=('C', 'E'), voltage=220, freq=50, country="Morocco"), "mv": CountryPower(plugs=('D', 'G', 'J', 'K', 'L'), voltage=230, freq=50, country="Maldives"), "ga": CountryPower(plugs=('C',), voltage=220, freq=50, country="Gabon"), "bo": CountryPower(plugs=('A', 'C'), voltage=115, freq=50, country="Bolivia"), "ly": CountryPower(plugs=('C', 'D', 'F', 'L'), voltage=127, freq=50, country="Libya"), "rw": CountryPower(plugs=('C', 'J'), voltage=230, freq=50, country="Rwanda"), "cg": CountryPower(plugs=('C', 'E'), voltage=230, freq=50, country="Congo, Republic of the"), "kz": CountryPower(plugs=('C', 'F'), voltage=220, freq=50, country="Kazakhstan"), "jp": CountryPower(plugs=('A', 'B'), voltage=100, freq=50, country="Japan"), "co": CountryPower(plugs=('A', 'B'), voltage=110, freq=60, country="Colombia"), "sm": CountryPower(plugs=('C', 'F', 'L'), voltage=230, freq=50, country="San Marino"), "rs": CountryPower(plugs=('C', 'F'), voltage=230, freq=50, country="Serbia"), "gw": CountryPower(plugs=('C',), voltage=220, freq=50, country="Guinea-Bissau"), "kr": CountryPower(plugs=('C', 'F'), voltage=220, freq=60, country="South Korea"), "py": CountryPower(plugs=('C',), voltage=220, freq=50, country="Paraguay"), "lt": CountryPower(plugs=('C', 'F'), voltage=230, freq=50, country="Lithuania"), "tr": CountryPower(plugs=('C', 'F'), voltage=230, freq=50, country="Turkey"), "pa": CountryPower(plugs=('A', 'B'), voltage=120, freq=60, country="Panama"), "ba": CountryPower(plugs=('C', 'F'), voltage=230, freq=50, country="Bosnia and Herzegovina"), "vn": CountryPower(plugs=('A', 'C', 'G'), voltage=220, freq=50, country="Vietnam"), "iq": CountryPower(plugs=('C', 'D', 'G'), voltage=230, freq=50, country="Iraq"), "pk": CountryPower(plugs=('C', 'D', 'G', 'M'), voltage=230, freq=50, country="Pakistan"), "li": CountryPower(plugs=('C', 'J'), voltage=230, freq=50, country="Liechtenstein"), "mz": CountryPower(plugs=('C', 'F', 'M'), voltage=220, freq=50, country="Mozambique"), "au": CountryPower(plugs=('I',), voltage=230, freq=50, country="Australia"), "ws": CountryPower(plugs=('I',), voltage=230, freq=50, country="Samoa"), "sr": CountryPower(plugs=('C', 'F'), voltage=127, freq=60, country="Suriname"), "mn": CountryPower(plugs=('C', 'E'), voltage=220, freq=50, country="Mongolia"), "bw": CountryPower(plugs=('D', 'G', 'M'), voltage=230, freq=50, country="Botswana"), "gb": CountryPower(plugs=('G',), voltage=230, freq=50, country="United Kingdom"), "pg": CountryPower(plugs=('I',), voltage=240, freq=50, country="Papua New Guinea"), "dj": CountryPower(plugs=('C', 'E'), voltage=220, freq=50, country="Djibouti"), "th": CountryPower(plugs=('A', 'B', 'C', 'F'), voltage=220, freq=50, country="Thailand"), "us": CountryPower(plugs=('A', 'B'), voltage=120, freq=60, country="United States"), "gr": CountryPower(plugs=('C', 'F'), voltage=230, freq=50, country="Greece"), "kn": CountryPower(plugs=('A', 'B', 'D', 'G'), voltage=110, freq=60, country="St. Kitts and Nevis"), "ug": CountryPower(plugs=('G',), voltage=240, freq=50, country="Uganda"), "ie": CountryPower(plugs=('G',), voltage=230, freq=50, country="Ireland"), "tg": CountryPower(plugs=('C',), voltage=220, freq=50, country="Togo"), "td": CountryPower(plugs=('C', 'D', 'E', 'F'), voltage=220, freq=50, country="Chad"), "la": CountryPower(plugs=('C', 'E', 'F'), voltage=230, freq=50, country="Laos"), "sy": CountryPower(plugs=('C', 'E', 'L'), voltage=220, freq=50, country="Syria"), "bm": CountryPower(plugs=('A', 'B'), voltage=120, freq=60, country="Bermuda"), "il": CountryPower(plugs=('C', 'H', 'M'), voltage=230, freq=50, country="Israel"), "nz": CountryPower(plugs=('I',), voltage=230, freq=50, country="New Zealand"), "mg": CountryPower(plugs=('C', 'D', 'E', 'J', 'K'), voltage=220, freq=50, country="Madagascar"), "ve": CountryPower(plugs=('A', 'B'), voltage=120, freq=60, country="Venezuela"), "dk": CountryPower(plugs=('C', 'E', 'F', 'K'), voltage=230, freq=50, country="Denmark"), "lb": CountryPower(plugs=('A', 'B', 'C', 'D', 'G'), voltage=220, freq=50, country="Lebanon"), "kp": CountryPower(plugs=('A', 'C', 'F'), voltage=110, freq=60, country="North Korea"), "vu": CountryPower(plugs=('C', 'G', 'I'), voltage=220, freq=50, country="Vanuatu"), "cu": CountryPower(plugs=('A', 'B', 'C'), voltage=110, freq=60, country="Cuba"), "pt": CountryPower(plugs=('C', 'F'), voltage=230, freq=50, country="Portugal"), "kw": CountryPower(plugs=('C', 'G'), voltage=240, freq=50, country="Kuwait"), "cd": CountryPower(plugs=('C', 'D', 'E'), voltage=220, freq=50, country="Congo, Democratic Republic of the"), "nr": CountryPower(plugs=('I',), voltage=240, freq=50, country="Nauru"), "si": CountryPower(plugs=('C', 'F'), voltage=230, freq=50, country="Slovenia"), "bd": CountryPower(plugs=('C', 'D', 'G', 'K'), voltage=220, freq=50, country="Bangladesh"), "al": CountryPower(plugs=('C', 'F'), voltage=230, freq=50, country="Albania"), "ec": CountryPower(plugs=('A', 'B'), voltage=120, freq=60, country="Ecuador"), "gy": CountryPower(plugs=('A', 'B', 'D', 'G'), voltage=110, freq=60, country="Guyana"), "bb": CountryPower(plugs=('A', 'B'), voltage=115, freq=50, country="Barbados"), "ke": CountryPower(plugs=('G',), voltage=240, freq=50, country="Kenya"), "mx": CountryPower(plugs=('A', 'B'), voltage=127, freq=60, country="Mexico"), "gq": CountryPower(plugs=('C', 'E'), voltage=220, freq=50, country="Equatorial Guinea"), "gn": CountryPower(plugs=('C', 'F', 'K'), voltage=220, freq=50, country="Guinea"), "bi": CountryPower(plugs=('C', 'E'), voltage=220, freq=50, country="Burundi"), "lv": CountryPower(plugs=('C', 'F'), voltage=230, freq=50, country="Latvia"), "fj": CountryPower(plugs=('I',), voltage=240, freq=50, country="Fiji"), "ci": CountryPower(plugs=('C', 'E'), voltage=230, freq=50, country="Côte d'Ivoire"), "ai": CountryPower(plugs=('A',), voltage=110, freq=60, country="Anguilla"), "gu": CountryPower(plugs=('A', 'B'), voltage=110, freq=60, country="Guam"), "lr": CountryPower(plugs=('A', 'B', 'C', 'E', 'F'), voltage=120, freq=60, country="Liberia"), "br": CountryPower(plugs=('C', 'N'), voltage=220, freq=60, country="Brazil"), "cv": CountryPower(plugs=('C', 'F'), voltage=220, freq=50, country="Cape Verde"), "cl": CountryPower(plugs=('L',), voltage=220, freq=50, country="Chile"), "in": CountryPower(plugs=('C', 'D', 'M'), voltage=230, freq=50, country="India"), "gg": CountryPower(plugs=('G',), voltage=230, freq=50, country="Guernsey"), "tt": CountryPower(plugs=('A', 'B'), voltage=115, freq=60, country="Trinidad & Tobago"), "de": CountryPower(plugs=('C', 'F'), voltage=230, freq=50, country="Germany"), "qa": CountryPower(plugs=('D', 'G'), voltage=240, freq=50, country="Qatar"), "ph": CountryPower(plugs=('A', 'B'), voltage=220, freq=60, country="Philippines"), "sd": CountryPower(plugs=('C', 'D'), voltage=230, freq=50, country="Sudan"), "mm": CountryPower(plugs=('C', 'D', 'F', 'G'), voltage=230, freq=50, country="Myanmar"), "gd": CountryPower(plugs=('G',), voltage=230, freq=50, country="Grenada"), "st": CountryPower(plugs=('C', 'F'), voltage=220, freq=50, country="São Tomé and Príncipe"), "sz": CountryPower(plugs=('M',), voltage=230, freq=50, country="Swaziland"), "ro": CountryPower(plugs=('C', 'F'), voltage=230, freq=50, country="Romania"), "xk": CountryPower(plugs=('C', 'F'), voltage=230, freq=50, country="Kosovo"), "cy": CountryPower(plugs=('G',), voltage=240, freq=50, country="Cyprus"), "dz": CountryPower(plugs=('C', 'F'), voltage=230, freq=50, country="Algeria"), "zm": CountryPower(plugs=('C', 'D', 'G'), voltage=230, freq=50, country="Zambia"), "by": CountryPower(plugs=('C', 'F'), voltage=230, freq=50, country="Belarus"), "hr": CountryPower(plugs=('C', 'F'), voltage=230, freq=50, country="Croatia"), "lu": CountryPower(plugs=('C', 'F'), voltage=230, freq=50, country="Luxembourg"), "fi": CountryPower(plugs=('C', 'F'), voltage=230, freq=50, country="Finland"), "zw": CountryPower(plugs=('D', 'G'), voltage=220, freq=50, country="Zimbabwe"), "km": CountryPower(plugs=('C', 'E'), voltage=220, freq=50, country="Comoros"), "tl": CountryPower(plugs=('C', 'E', 'F', 'I'), voltage=220, freq=50, country="Timor-Leste "), "tz": CountryPower(plugs=('D', 'G'), voltage=230, freq=50, country="Tanzania"), "ht": CountryPower(plugs=('A', 'B'), voltage=110, freq=60, country="Haiti"), "vc": CountryPower(plugs=('C', 'E', 'G', 'I', 'K'), voltage=230, freq=50, country="St. Vincent and the Grenadines"), "es": CountryPower(plugs=('C', 'F'), voltage=230, freq=50, country="Spain"), "my": CountryPower(plugs=('C', 'G', 'M'), voltage=230, freq=50, country="Malaysia"), "lc": CountryPower(plugs=('G',), voltage=240, freq=50, country="St. Lucia"), "tm": CountryPower(plugs=('B', 'C', 'F'), voltage=220, freq=50, country="Turkmenistan"), "pe": CountryPower(plugs=('A', 'B', 'C'), voltage=220, freq=60, country="Peru"), "ua": CountryPower(plugs=('C', 'F'), voltage=230, freq=50, country="Ukraine"), "eg": CountryPower(plugs=('C', 'F'), voltage=220, freq=50, country="Egypt"), "sb": CountryPower(plugs=('I', 'G'), voltage=220, freq=50, country="Solomon Islands"), "to": CountryPower(plugs=('I',), voltage=240, freq=50, country="Tonga"), "fr": CountryPower(plugs=('C', 'E'), voltage=230, freq=50, country="France"), "ng": CountryPower(plugs=('D', 'G'), voltage=240, freq=50, country="Nigeria"), "sh": CountryPower(plugs=('G',), voltage=240, freq=50, country="Saint Helena, Ascension and Tristan da Cunha"), "mw": CountryPower(plugs=('G',), voltage=230, freq=50, country="Malawi"), "ms": CountryPower(plugs=('A', 'B'), voltage=120, freq=60, country="Montserrat"), "ae": CountryPower(plugs=('C', 'D', 'G'), voltage=220, freq=50, country="United Arab Emirates"), "nl": CountryPower(plugs=('C', 'F'), voltage=230, freq=50, country="Netherlands"), "id": CountryPower(plugs=('C', 'F', 'G'), voltage=230, freq=50, country="Indonesia"), "ru": CountryPower(plugs=('C', 'F'), voltage=230, freq=50, country="Russia"), "ar": CountryPower(plugs=('C', 'I'), voltage=220, freq=50, country="Argentina"), "bn": CountryPower(plugs=('G',), voltage=240, freq=50, country="Brunei"), "pw": CountryPower(plugs=('A', 'B'), voltage=120, freq=60, country="Palau"), "kg": CountryPower(plugs=('C', 'F'), voltage=220, freq=50, country="Kyrgyzstan"), "bh": CountryPower(plugs=('G',), voltage=230, freq=50, country="Bahrain"), "ml": CountryPower(plugs=('C', 'E'), voltage=220, freq=50, country="Mali"), "it": CountryPower(plugs=('C', 'F', 'L'), voltage=230, freq=50, country="Italy"), "sa": CountryPower(plugs=('A', 'B', 'G'), voltage=220, freq=60, country="Saudi Arabia"), "ag": CountryPower(plugs=('A', 'B'), voltage=230, freq=60, country="Antigua and Barbuda"), "mr": CountryPower(plugs=('C',), voltage=220, freq=50, country="Mauritania"), "om": CountryPower(plugs=('C', 'G'), voltage=240, freq=50, country="Oman"), "lk": CountryPower(plugs=('D', 'G', 'M'), voltage=230, freq=50, country="Sri Lanka"), "er": CountryPower(plugs=('C', 'L'), voltage=230, freq=50, country="Eritrea"), "mk": CountryPower(plugs=('C', 'F'), voltage=230, freq=50, country="Macedonia"), "ni": CountryPower(plugs=('A', 'B'), voltage=120, freq=60, country="Nicaragua"), "ch": CountryPower(plugs=('C', 'J'), voltage=230, freq=50, country="Switzerland"), "ca": CountryPower(plugs=('A', 'B'), voltage=120, freq=60, country="Canada"), "cr": CountryPower(plugs=('A', 'B'), voltage=120, freq=60, country="Costa Rica") } '''Dictionary of country-code to CountryPower instances for residential use.''' CONST_380 = 380 CONST_400 = 400 CONST_415 = 415 CONST_440 = 440 CONST_480 = 480 TUP_190 = (190,) TUP_208 = (208,) TUP_240 = (240,) TUP_380 = (CONST_380,) TUP_400 = (CONST_400,) TUP_415 = (CONST_415,) industrial_power = { "at": CountryPower(voltage=TUP_400, freq=50, country='Austria'), "bj": CountryPower(voltage=TUP_380, freq=50, country='Benin'), "gh": CountryPower(voltage=TUP_400, freq=50, country='Ghana'), "sc": CountryPower(voltage=TUP_240, freq=50, country='Seychelles'), "bg": CountryPower(voltage=TUP_400, freq=50, country='Bulgaria'), "me": CountryPower(voltage=TUP_400, freq=50, country='Montenegro'), "fo": CountryPower(voltage=TUP_400, freq=50, country='Faeroe Islands'), "iq": CountryPower(voltage=TUP_400, freq=50, country='Iraq'), "ne": CountryPower(voltage=TUP_380, freq=50, country='Niger'), "za": CountryPower(voltage=TUP_400, freq=50, country='South Africa'), "az": CountryPower(voltage=TUP_380, freq=50, country='Azerbaijan'), "so": CountryPower(voltage=TUP_380, freq=50, country='Somalia'), "sn": CountryPower(voltage=TUP_400, freq=50, country='Senegal'), "np": CountryPower(voltage=TUP_400, freq=50, country='Nepal'), "sl": CountryPower(voltage=TUP_400, freq=50, country='Sierra Leone'), "be": CountryPower(voltage=TUP_400, freq=50, country='Belgium'), "vg": CountryPower(voltage=TUP_190, freq=60, country='British Virgin Islands'), "bz": CountryPower(voltage=(190, CONST_380), freq=60, country='Belize'), "tw": CountryPower(voltage=(220,), freq=60, country='Taiwan'), "bf": CountryPower(voltage=TUP_380, freq=50, country='Burkina Faso'), "ao": CountryPower(voltage=TUP_380, freq=50, country='Angola'), "ee": CountryPower(voltage=TUP_400, freq=50, country='Estonia'), "bs": CountryPower(voltage=TUP_208, freq=60, country='Bahamas'), "ir": CountryPower(voltage=TUP_400, freq=50, country='Iran'), "sv": CountryPower(voltage=(200,), freq=60, country='El Salvador'), "am": CountryPower(voltage=TUP_400, freq=50, country='Armenia'), "is": CountryPower(voltage=TUP_400, freq=50, country='Iceland'), "uy": CountryPower(voltage=TUP_380, freq=50, country='Uruguay'), "mc": CountryPower(voltage=TUP_400, freq=50, country='Monaco'), "jm": CountryPower(voltage=TUP_190, freq=50, country='Jamaica'), "im": CountryPower(voltage=TUP_415, freq=50, country='Isle of Man'), "dm": CountryPower(voltage=TUP_400, freq=50, country='Dominica'), "mu": CountryPower(voltage=TUP_400, freq=50, country='Mauritius'), "cz": CountryPower(voltage=TUP_400, freq=50, country='Czech Republic'), "kh": CountryPower(voltage=TUP_400, freq=50, country='Cambodia'), "cf": CountryPower(voltage=TUP_380, freq=50, country='Central African Republic'), "se": CountryPower(voltage=TUP_400, freq=50, country='Sweden'), "uz": CountryPower(voltage=TUP_380, freq=50, country='Uzbekistan'), "sk": CountryPower(voltage=TUP_400, freq=50, country='Slovakia'), "ky": CountryPower(voltage=TUP_240, freq=60, country='Cayman Islands'), "tn": CountryPower(voltage=TUP_400, freq=50, country='Tunisia'), "hu": CountryPower(voltage=TUP_400, freq=50, country='Hungary'), "af": CountryPower(voltage=TUP_380, freq=50, country='Afghanistan'), "tc": CountryPower(voltage=TUP_240, freq=60, country='Turks and Caicos Islands'), "et": CountryPower(voltage=TUP_380, freq=50, country='Ethiopia'), "sd": CountryPower(voltage=TUP_400, freq=50, country='Sudan'), "ad": CountryPower(voltage=TUP_400, freq=50, country='Andorra'), "hn": CountryPower(voltage=(208, 230, 240, 460, CONST_480), freq=60, country='Honduras'), "ls": CountryPower(voltage=TUP_380, freq=50, country='Lesotho'), "na": CountryPower(voltage=TUP_380, freq=50, country='Namibia'), "pl": CountryPower(voltage=TUP_400, freq=50, country='Poland'), "bt": CountryPower(voltage=TUP_400, freq=50, country='Bhutan'), "sa": CountryPower(voltage=TUP_400, freq=60, country='Saudi Arabia'), "no": CountryPower(voltage=(230, 400), freq=50, country='Norway'), "fk": CountryPower(voltage=TUP_415, freq=50, country='Falkland Islands'), "ye": CountryPower(voltage=TUP_400, freq=50, country='Yemen'), "gi": CountryPower(voltage=TUP_400, freq=50, country='Gibraltar'), "md": CountryPower(voltage=TUP_400, freq=50, country='Moldova'), "cn": CountryPower(voltage=TUP_380, freq=50, country='China'), "gm": CountryPower(voltage=TUP_400, freq=50, country='Gambia'), "sg": CountryPower(voltage=TUP_400, freq=50, country='Singapore'), "tj": CountryPower(voltage=TUP_380, freq=50, country='Tajikistan'), "gt": CountryPower(voltage=TUP_208, freq=60, country='Guatemala'), "ma": CountryPower(voltage=TUP_380, freq=50, country='Morocco'), "mv": CountryPower(voltage=TUP_400, freq=50, country='Maldives'), "ga": CountryPower(voltage=TUP_380, freq=50, country='Gabon'), "bo": CountryPower(voltage=TUP_400, freq=50, country='Bolivia'), "ly": CountryPower(voltage=TUP_400, freq=50, country='Libya'), "rw": CountryPower(voltage=TUP_400, freq=50, country='Rwanda'), "cg": CountryPower(voltage=TUP_400, freq=50, country="People's Republic of Congo"), "kz": CountryPower(voltage=TUP_380, freq=50, country='Kazakhstan'), "jp": CountryPower(voltage=(200,), freq=50, country='Japan'), "co": CountryPower(voltage=(220, 440), freq=60, country='Colombia'), "sm": CountryPower(voltage=TUP_400, freq=50, country='San Marino'), "rs": CountryPower(voltage=TUP_400, freq=50, country='Serbia'), "gw": CountryPower(voltage=TUP_380, freq=50, country='Guinea-Bissau'), "kr": CountryPower(voltage=TUP_380, freq=60, country='South Korea'), "py": CountryPower(voltage=TUP_380, freq=50, country='Paraguay'), "lt": CountryPower(voltage=TUP_400, freq=50, country='Lithuania'), "tr": CountryPower(voltage=TUP_400, freq=50, country='Turkey'), "ss": CountryPower(voltage=TUP_400, freq=50, country='South Sudan'), "ba": CountryPower(voltage=TUP_400, freq=50, country='Bosnia & Herzegovina'), "vn": CountryPower(voltage=TUP_380, freq=50, country='Vietnam'), "do": CountryPower(voltage=(120, 208, 277, 480), freq=60, country='Dominican Republic'), "pk": CountryPower(voltage=TUP_400, freq=50, country='Pakistan'), "li": CountryPower(voltage=TUP_400, freq=50, country='Liechtenstein'), "mz": CountryPower(voltage=TUP_380, freq=50, country='Mozambique'), "au": CountryPower(voltage=TUP_400, freq=50, country='Australia'), "ws": CountryPower(voltage=TUP_400, freq=50, country='Samoa'), "sr": CountryPower(voltage=(220, 400,), freq=60, country='Suriname'), "mn": CountryPower(voltage=TUP_400, freq=50, country='Mongolia'), "bw": CountryPower(voltage=TUP_400, freq=50, country='Botswana'), "gb": CountryPower(voltage=TUP_415, freq=50, country='United Kingdom'), "pg": CountryPower(voltage=TUP_415, freq=50, country='Papua New Guinea'), "dj": CountryPower(voltage=TUP_380, freq=50, country='Djibouti'), "th": CountryPower(voltage=TUP_400, freq=50, country='Thailand'), "us": CountryPower(voltage=(120, 208, 277, 480, 120, 240, 240, CONST_480), freq=60, country='United States of America'), "gr": CountryPower(voltage=TUP_400, freq=50, country='Greece'), "ug": CountryPower(voltage=TUP_415, freq=50, country='Uganda'), "ie": CountryPower(voltage=TUP_415, freq=50, country='Ireland'), "tg": CountryPower(voltage=TUP_380, freq=50, country='Togo'), "td": CountryPower(voltage=TUP_380, freq=50, country='Chad'), "la": CountryPower(voltage=TUP_400, freq=50, country='Laos'), "sy": CountryPower(voltage=TUP_380, freq=50, country='Syria'), "bm": CountryPower(voltage=TUP_208, freq=60, country='Bermuda'), "il": CountryPower(voltage=TUP_400, freq=50, country='Israel'), "nz": CountryPower(voltage=TUP_400, freq=50, country='New Zealand'), "mg": CountryPower(voltage=TUP_380, freq=50, country='Madagascar'), "ve": CountryPower(voltage=(120,), freq=60, country='Venezuela'), "dk": CountryPower(voltage=TUP_400, freq=50, country='Denmark'), "lb": CountryPower(voltage=TUP_400, freq=50, country='Lebanon'), "kp": CountryPower(voltage=TUP_380, freq=50, country='North Korea'), "vu": CountryPower(voltage=TUP_400, freq=50, country='Vanuatu'), "cu": CountryPower(voltage=(190, 440), freq=60, country='Cuba'), "kw": CountryPower(voltage=TUP_415, freq=50, country='Kuwait'), "cd": CountryPower(voltage=TUP_380, freq=50, country='Democratic Republic of Congo'), "nr": CountryPower(voltage=TUP_415, freq=50, country='Nauru'), "si": CountryPower(voltage=TUP_400, freq=50, country='Slovenia'), "mt": CountryPower(voltage=TUP_400, freq=50, country='Malta'), "bd": CountryPower(voltage=TUP_380, freq=50, country='Bangladesh'), "al": CountryPower(voltage=TUP_400, freq=50, country='Albania'), "ec": CountryPower(voltage=TUP_208, freq=60, country='Ecuador'), "gy": CountryPower(voltage=TUP_190, freq=60, country='Guyana'), "bb": CountryPower(voltage=(200,), freq=50, country='Barbados'), "ke": CountryPower(voltage=TUP_415, freq=50, country='Kenya'), "mx": CountryPower(voltage=(220, CONST_480), freq=60, country='Mexico'), "gn": CountryPower(voltage=TUP_380, freq=50, country='Guinea'), "bi": CountryPower(voltage=TUP_380, freq=50, country='Burundi'), "lv": CountryPower(voltage=TUP_400, freq=50, country='Latvia'), "fj": CountryPower(voltage=TUP_415, freq=50, country='Fiji'), "ci": CountryPower(voltage=TUP_380, freq=50, country='Côte d’Ivoire'), "ai": CountryPower(voltage=(120, 208, 127, 220, 240, 415), freq=60, country='Anguilla'), "gu": CountryPower(voltage=TUP_190, freq=60, country='Guam'), "lr": CountryPower(voltage=TUP_208, freq=60, country='Liberia'), "br": CountryPower(voltage=(220, 380), freq=60, country='Brazil'), "cv": CountryPower(voltage=TUP_400, freq=50, country='Cape Verde'), "cl": CountryPower(voltage=TUP_380, freq=50, country='Chile'), "in": CountryPower(voltage=TUP_400, freq=50, country='India'), "tt": CountryPower(voltage=(115, 230, 230, 400), freq=60, country='Trinidad & Tobago'), "de": CountryPower(voltage=TUP_400, freq=50, country='Germany'), "pa": CountryPower(voltage=TUP_240, freq=60, country='Panama'), "qa": CountryPower(voltage=TUP_415, freq=50, country='Qatar'), "ph": CountryPower(voltage=TUP_380, freq=60, country='Philippines'), "jo": CountryPower(voltage=TUP_400, freq=50, country='Jordan'), "mm": CountryPower(voltage=TUP_400, freq=50, country='Myanmar'), "gd": CountryPower(voltage=TUP_400, freq=50, country='Grenada'), "st": CountryPower(voltage=TUP_400, freq=50, country='São Tomé and Príncipe'), "sz": CountryPower(voltage=TUP_400, freq=50, country='Swaziland'), "ro": CountryPower(voltage=TUP_400, freq=50, country='Romania'), "xk": CountryPower(voltage=(230, 400), freq=50, country='Kosovo'), "cy": CountryPower(voltage=TUP_400, freq=50, country='Cyprus'), "dz": CountryPower(voltage=TUP_400, freq=50, country='Algeria'), "zm": CountryPower(voltage=TUP_400, freq=50, country='Zambia'), "by": CountryPower(voltage=TUP_380, freq=50, country='Belarus'), "hr": CountryPower(voltage=TUP_400, freq=50, country='Croatia'), "lu": CountryPower(voltage=TUP_400, freq=50, country='Luxembourg'), "fi": CountryPower(voltage=TUP_400, freq=50, country='Finland'), "zw": CountryPower(voltage=TUP_415, freq=50, country='Zimbabwe'), "km": CountryPower(voltage=TUP_380, freq=50, country='Comoros'), "tl": CountryPower(voltage=TUP_380, freq=50, country='East Timor'), "tz": CountryPower(voltage=TUP_415, freq=50, country='Tanzania'), "ht": CountryPower(voltage=TUP_190, freq=60, country='Haiti'), "vc": CountryPower(voltage=TUP_400, freq=50, country='Saint Vincent and the Grenadines'), "es": CountryPower(voltage=TUP_400, freq=50, country='Spain'), "my": CountryPower(voltage=TUP_415, freq=50, country='Malaysia'), "lc": CountryPower(voltage=TUP_400, freq=50, country='Saint Lucia'), "tm": CountryPower(voltage=TUP_380, freq=50, country='Turkmenistan'), "pe": CountryPower(voltage=(220,), freq=60, country='Peru'), "ua": CountryPower(voltage=TUP_400, freq=50, country='Ukraine'), "eg": CountryPower(voltage=TUP_380, freq=50, country='Egypt'), "to": CountryPower(voltage=TUP_415, freq=50, country='Tonga'), "fr": CountryPower(voltage=TUP_400, freq=50, country='France'), "ng": CountryPower(voltage=TUP_415, freq=50, country='Nigeria'), "mw": CountryPower(voltage=TUP_400, freq=50, country='Malawi'), "ms": CountryPower(voltage=TUP_400, freq=60, country='Montserrat'), "ae": CountryPower(voltage=TUP_400, freq=50, country='United Arab Emirates'), "nl": CountryPower(voltage=TUP_400, freq=50, country='Netherlands'), "id": CountryPower(voltage=TUP_400, freq=50, country='Indonesia'), "ru": CountryPower(voltage=TUP_380, freq=50, country='Russia'), "ar": CountryPower(voltage=TUP_380, freq=50, country='Argentina'), "bn": CountryPower(voltage=TUP_415, freq=50, country='Brunei'), "pw": CountryPower(voltage=TUP_208, freq=60, country='Palau'), "kg": CountryPower(voltage=TUP_380, freq=50, country='Kyrgyzstan'), "bh": CountryPower(voltage=TUP_400, freq=50, country='Bahrain'), "ml": CountryPower(voltage=TUP_380, freq=50, country='Mali'), "it": CountryPower(voltage=TUP_400, freq=50, country='Italy'), "cm": CountryPower(voltage=TUP_380, freq=50, country='Cameroon'), "ag": CountryPower(voltage=TUP_400, freq=60, country='Antigua and Barbuda'), "mr": CountryPower(voltage=(220,), freq=50, country='Mauritania'), "om": CountryPower(voltage=TUP_415, freq=50, country='Oman'), "lk": CountryPower(voltage=TUP_400, freq=50, country='Sri Lanka'), "er": CountryPower(voltage=TUP_400, freq=50, country='Eritrea'), "mk": CountryPower(voltage=TUP_400, freq=50, country='Macedonia, Republic of'), "ni": CountryPower(voltage=TUP_208, freq=60, country='Nicaragua'), "ch": CountryPower(voltage=TUP_400, freq=50, country='Switzerland'), "ca": CountryPower(voltage=(120, 208, 240, CONST_480, 347, 600), freq=60, country='Canada'), "cr": CountryPower(voltage=TUP_240, freq=60, country='Costa Rica') } '''Dictionary of country-code to CountryPower instances for industrial use.''' electrical_plug_types = ['A', 'B', 'C', 'D', 'E', 'F', 'G', 'H', 'I', 'J', 'K', 'L', 'M', 'N'] '''List of all electrical plug types in use around the world.''' voltages_1_phase_residential = [100, 110, 115, 120, 127, 220, 230, 240] '''List of all AC 1-phase voltages used in residential settings around the world.''' voltages_3_phase = [120, 190, 200, 208, 220, 230, 240, 277, 380, 400, 415, 440, 480] '''List of all AC 3-phase voltages used in industrial settings around the world.''' residential_power_frequencies = [50, 60] '''List of all AC 1-phase frequencies used in residential settings around the world.''' # https://www.grainger.com/content/supplylink-v-belt-maintenance-key-to-electric-motor-efficiency # Source of values for v belt, notched, and synchronous # Technology assessment: energy-efficient belt transmissions # Source of cogged value, their range is 95-98 V_BELT = 'V' COGGED_V_BELT = 'cogged' NOTCHED_BELT = 'notched' SYNCHRONOUS_BELT = 'synchronous' belt_efficiencies = {V_BELT: 0.95, NOTCHED_BELT: 0.97, COGGED_V_BELT: 0.965, SYNCHRONOUS_BELT: 0.98} DEEP_GROOVE_BALL = "Deep groove ball" ANGULAR_CONTACT_BALL_SINGLE_ROW = "Angular contact ball Single row" ANGULAR_CONTACT_BALL_DOUBLE_ROW = "Angular contact ball Double row" FOUR_POINT_CONTACT_BALL = "Four point contact ball" SELF_ALIGNING_BALL = "Self aligning ball" CYLINDRICAL_ROLLER_WITH_CAGE = "Cylindrical roller with cage" CYLINDRICAL_ROLLER_FULL_COMPLEMENT = "Cylindrical roller full complement" NEEDLE_ROLLER = "Needle roller" TAPER_ROLLER = "Taper roller" SPHERICAL_ROLLER = "Spherical roller" THRUST_BALL = "Thrust ball" CYLINDRICAL_ROLLER_THRUST = "Cylindrical roller thrust" NEEDLE_ROLLER_THRUST = "Needle roller thrust" SPHERICAL_ROLLER_THRUST = "Spherical roller thrust" bearing_friction_factors = {DEEP_GROOVE_BALL: 0.0015, ANGULAR_CONTACT_BALL_SINGLE_ROW: 0.002, ANGULAR_CONTACT_BALL_DOUBLE_ROW: 0.0024, FOUR_POINT_CONTACT_BALL: 0.0024, SELF_ALIGNING_BALL: 0.001, CYLINDRICAL_ROLLER_WITH_CAGE: 0.0011, CYLINDRICAL_ROLLER_FULL_COMPLEMENT: 0.002, NEEDLE_ROLLER: 0.0025, TAPER_ROLLER: 0.0018, SPHERICAL_ROLLER: 0.0018, THRUST_BALL: 0.0013, CYLINDRICAL_ROLLER_THRUST: 0.005, NEEDLE_ROLLER_THRUST: 0.005, SPHERICAL_ROLLER_THRUST: 0.0018} # In m, diameter of fans fan_diameters = [0.125, 0.132, 0.14, 0.15, 0.16, 0.17, 0.18, 0.19, 0.2, 0.212, 0.224, 0.236, 0.25, 0.265, 0.28, 0.3, 0.315, 0.335, 0.355, 0.375, 0.4, 0.425, 0.45, 0.475, 0.5, 0.53, 0.56, 0.6, 0.63, 0.67, 0.71, 0.75, 0.8, 0.85, 0.9, 0.95, 1.0] FEG90 = [0.425, 0.448, 0.472, 0.501, 0.527, 0.552, 0.574, 0.594, 0.613, 0.633, 0.652, 0.669, 0.686, 0.703, 0.718, 0.735, 0.746, 0.759, 0.77, 0.779, 0.789, 0.797, 0.804, 0.81, 0.815, 0.819, 0.823, 0.827, 0.83, 0.833, 0.835, 0.837, 0.838, 0.84, 0.841, 0.841, 0.841] FEG85 = [0.401, 0.423, 0.446, 0.473, 0.498, 0.521, 0.542, 0.561, 0.579, 0.598, 0.616, 0.631, 0.648, 0.664, 0.678, 0.694, 0.704, 0.717, 0.727, 0.736, 0.745, 0.753, 0.759, 0.765, 0.769, 0.774, 0.777, 0.781, 0.784, 0.786, 0.788, 0.79, 0.791, 0.793, 0.793, 0.794, 0.794] FEG80 = [0.378, 0.399, 0.421, 0.447, 0.47, 0.492, 0.511, 0.53, 0.546, 0.565, 0.581, 0.596, 0.612, 0.627, 0.64, 0.655, 0.665, 0.676, 0.686, 0.695, 0.703, 0.711, 0.717, 0.722, 0.726, 0.73, 0.734, 0.738, 0.74, 0.742, 0.744, 0.746, 0.747, 0.748, 0.749, 0.75, 0.75] FEG75 = [0.357, 0.377, 0.398, 0.422, 0.444, 0.464, 0.483, 0.5, 0.516, 0.533, 0.549, 0.563, 0.578, 0.592, 0.604, 0.618, 0.628, 0.639, 0.648, 0.656, 0.664, 0.671, 0.677, 0.681, 0.685, 0.689, 0.693, 0.696, 0.698, 0.701, 0.703, 0.704, 0.705, 0.706, 0.707, 0.708, 0.708] FEG71 = [0.337, 0.356, 0.375, 0.398, 0.419, 0.438, 0.456, 0.472, 0.487, 0.503, 0.518, 0.531, 0.545, 0.559, 0.57, 0.584, 0.593, 0.603, 0.612, 0.619, 0.627, 0.633, 0.639, 0.643, 0.647, 0.651, 0.654, 0.657, 0.659, 0.661, 0.663, 0.665, 0.666, 0.667, 0.668, 0.668, 0.668] FEG67 = [0.318, 0.336, 0.354, 0.376, 0.395, 0.414, 0.43, 0.446, 0.46, 0.475, 0.489, 0.502, 0.515, 0.527, 0.538, 0.551, 0.559, 0.569, 0.577, 0.584, 0.592, 0.598, 0.603, 0.607, 0.611, 0.614, 0.617, 0.621, 0.622, 0.624, 0.626, 0.627, 0.629, 0.63, 0.63, 0.631, 0.631] FEG63 = [0.301, 0.317, 0.334, 0.355, 0.373, 0.39, 0.406, 0.421, 0.434, 0.448, 0.462, 0.473, 0.486, 0.498, 0.508, 0.52, 0.528, 0.537, 0.545, 0.552, 0.559, 0.565, 0.569, 0.573, 0.577, 0.58, 0.583, 0.586, 0.588, 0.59, 0.591, 0.592, 0.594, 0.594, 0.595, 0.595, 0.596] FEG60 = [0.284, 0.299, 0.316, 0.335, 0.352, 0.369, 0.383, 0.397, 0.41, 0.423, 0.436, 0.447, 0.459, 0.47, 0.48, 0.491, 0.499, 0.507, 0.515, 0.521, 0.528, 0.533, 0.538, 0.541, 0.545, 0.548, 0.55, 0.553, 0.555, 0.557, 0.558, 0.559, 0.56, 0.561, 0.562, 0.562, 0.562] FEG56 = [0.268, 0.282, 0.298, 0.316, 0.333, 0.348, 0.362, 0.375, 0.387, 0.4, 0.411, 0.422, 0.433, 0.444, 0.453, 0.464, 0.471, 0.479, 0.486, 0.492, 0.498, 0.503, 0.507, 0.511, 0.514, 0.517, 0.519, 0.522, 0.524, 0.525, 0.527, 0.528, 0.529, 0.53, 0.53, 0.531, 0.531] FEG53 = [0.253, 0.267, 0.281, 0.298, 0.314, 0.329, 0.342, 0.354, 0.365, 0.377, 0.388, 0.398, 0.409, 0.419, 0.428, 0.438, 0.444, 0.452, 0.459, 0.464, 0.47, 0.475, 0.479, 0.482, 0.485, 0.488, 0.49, 0.493, 0.494, 0.496, 0.497, 0.498, 0.499, 0.5, 0.501, 0.501, 0.501] FEG50 = [0.239, 0.252, 0.266, 0.282, 0.297, 0.31, 0.323, 0.334, 0.345, 0.356, 0.367, 0.376, 0.386, 0.395, 0.404, 0.413, 0.42, 0.427, 0.433, 0.438, 0.444, 0.448, 0.452, 0.455, 0.458, 0.461, 0.463, 0.465, 0.467, 0.468, 0.47, 0.47, 0.471, 0.472, 0.473, 0.473, 0.473] fan_bare_shaft_efficiencies = {'FEG90': FEG90, 'FEG85': FEG85, 'FEG80': FEG80, 'FEG75': FEG75, 'FEG71': FEG71, 'FEG67': FEG67, 'FEG63': FEG63, 'FEG60': FEG60, 'FEG56': FEG56, 'FEG53': FEG53, 'FEG50': FEG50} '''for key, values in fan_bare_shaft_efficiencies.items(): plt.plot(fan_diameters, values, label=key) plt.legend() plt.show()''' FMEG_axial_powers = [125.0, 300.0, 1000.0, 2500.0, 5000.0, 8000.0, 10000.0, 20000.0, 60000.0, 160000.0, 300000.0, 375000.0, 500000.0] FMEG27 = [0.15, 0.174, 0.207, 0.232, 0.251, 0.264, 0.27, 0.275, 0.283, 0.291, 0.296, 0.297, 0.3] FMEG31 = [0.19, 0.214, 0.247, 0.272, 0.291, 0.304, 0.31, 0.315, 0.323, 0.331, 0.336, 0.337, 0.34] FMEG35 = [0.23, 0.254, 0.287, 0.312, 0.331, 0.344, 0.35, 0.355, 0.363, 0.371, 0.376, 0.377, 0.38] FMEG39 = [0.27, 0.294, 0.327, 0.352, 0.371, 0.384, 0.39, 0.395, 0.403, 0.411, 0.416, 0.417, 0.42] FMEG42 = [0.3, 0.324, 0.357, 0.382, 0.401, 0.414, 0.42, 0.425, 0.433, 0.441, 0.446, 0.447, 0.45] FMEG46 = [0.34, 0.364, 0.397, 0.422, 0.441, 0.454, 0.46, 0.465, 0.473, 0.481, 0.486, 0.487, 0.49] FMEG50 = [0.38, 0.404, 0.437, 0.462, 0.481, 0.494, 0.5, 0.505, 0.513, 0.521, 0.526, 0.527, 0.53] FMEG53 = [0.41, 0.434, 0.467, 0.492, 0.511, 0.524, 0.53, 0.535, 0.543, 0.551, 0.556, 0.557, 0.56] FMEG55 = [0.43, 0.454, 0.487, 0.512, 0.531, 0.544, 0.55, 0.555, 0.563, 0.571, 0.576, 0.577, 0.58] FMEG58 = [0.46, 0.484, 0.517, 0.542, 0.561, 0.574, 0.58, 0.585, 0.593, 0.601, 0.606, 0.607, 0.61] FMEG60 = [0.48, 0.504, 0.537, 0.562, 0.581, 0.594, 0.6, 0.605, 0.613, 0.621, 0.626, 0.627, 0.63] FMEG62 = [0.5, 0.524, 0.557, 0.582, 0.601, 0.614, 0.62, 0.625, 0.633, 0.641, 0.646, 0.647, 0.65] FMEG64 = [0.52, 0.544, 0.577, 0.602, 0.621, 0.634, 0.64, 0.645, 0.653, 0.661, 0.666, 0.667, 0.67] FMEG66 = [0.54, 0.564, 0.597, 0.622, 0.641, 0.654, 0.66, 0.665, 0.673, 0.681, 0.686, 0.687, 0.69] fan_driven_axial_efficiencies = {'FMEG27': FMEG27, 'FMEG31': FMEG31, 'FMEG35': FMEG35, 'FMEG39': FMEG39, 'FMEG42': FMEG42, 'FMEG46': FMEG46, 'FMEG50': FMEG50, 'FMEG53': FMEG53, 'FMEG55': FMEG55, 'FMEG58': FMEG58, 'FMEG60': FMEG60, 'FMEG62': FMEG62, 'FMEG64': FMEG64, 'FMEG66': FMEG66} FMEG_centrifugal_backward_powers = FMEG_axial_powers FMEG35 = [0.15, 0.19, 0.245, 0.287, 0.318, 0.34, 0.35, 0.357, 0.369, 0.38, 0.387, 0.389, 0.392] FMEG39 = [0.19, 0.23, 0.285, 0.327, 0.358, 0.38, 0.39, 0.397, 0.409, 0.42, 0.427, 0.429, 0.432] FMEG42 = [0.22, 0.26, 0.315, 0.357, 0.388, 0.41, 0.42, 0.427, 0.439, 0.45, 0.457, 0.459, 0.462] FMEG46 = [0.26, 0.3, 0.355, 0.397, 0.428, 0.45, 0.46, 0.467, 0.479, 0.49, 0.497, 0.499, 0.502] FMEG50 = [0.3, 0.34, 0.395, 0.437, 0.468, 0.49, 0.5, 0.507, 0.519, 0.53, 0.537, 0.539, 0.542] FMEG53 = [0.33, 0.37, 0.425, 0.467, 0.498, 0.52, 0.53, 0.537, 0.549, 0.56, 0.567, 0.569, 0.572] FMEG55 = [0.35, 0.39, 0.445, 0.487, 0.518, 0.54, 0.55, 0.557, 0.569, 0.58, 0.587, 0.589, 0.592] FMEG58 = [0.38, 0.42, 0.475, 0.517, 0.548, 0.57, 0.58, 0.587, 0.599, 0.61, 0.617, 0.619, 0.622] FMEG60 = [0.4, 0.44, 0.495, 0.537, 0.568, 0.59, 0.6, 0.607, 0.619, 0.63, 0.637, 0.639, 0.642] FMEG62 = [0.42, 0.46, 0.515, 0.557, 0.588, 0.61, 0.62, 0.627, 0.639, 0.65, 0.657, 0.659, 0.662] FMEG64 = [0.44, 0.48, 0.535, 0.577, 0.608, 0.63, 0.64, 0.647, 0.659, 0.67, 0.677, 0.679, 0.682] FMEG66 = [0.46, 0.5, 0.555, 0.597, 0.628, 0.65, 0.66, 0.667, 0.679, 0.69, 0.697, 0.699, 0.702] FMEG68 = [0.48, 0.52, 0.575, 0.617, 0.648, 0.67, 0.68, 0.687, 0.699, 0.71, 0.717, 0.719, 0.722] FMEG70 = [0.5, 0.54, 0.595, 0.637, 0.668, 0.69, 0.7, 0.707, 0.719, 0.73, 0.737, 0.739, 0.742] FMEG72 = [0.52, 0.56, 0.615, 0.657, 0.688, 0.71, 0.72, 0.727, 0.739, 0.75, 0.757, 0.759, 0.762] FMEG74 = [0.54, 0.58, 0.635, 0.677, 0.708, 0.73, 0.74, 0.747, 0.759, 0.77, 0.777, 0.779, 0.782] FMEG76 = [0.56, 0.6, 0.655, 0.697, 0.728, 0.75, 0.76, 0.767, 0.779, 0.79, 0.797, 0.799, 0.802] fan_centrifugal_backward_efficiencies = {'FMEG35': FMEG35, 'FMEG39': FMEG39, 'FMEG42': FMEG42, 'FMEG46': FMEG46, 'FMEG50': FMEG50, 'FMEG53': FMEG53, 'FMEG55': FMEG55, 'FMEG58': FMEG58, 'FMEG60': FMEG60, 'FMEG62': FMEG62, 'FMEG64': FMEG64, 'FMEG66': FMEG66, 'FMEG68': FMEG68, 'FMEG70': FMEG70, 'FMEG72': FMEG72, 'FMEG74': FMEG74, 'FMEG76': FMEG76} FMEG_cross_flow_powers = [130.0, 300.0, 500.0, 800.0, 1000.0, 2000.0, 3000.0, 4000.0, 5000.0, 8000.0, 10000.0, 16000.0, 22000.0] FMEG08 = [0.03, 0.04, 0.046, 0.051, 0.054, 0.062, 0.067, 0.07, 0.072, 0.078, 0.08, 0.08, 0.08] FMEG11 = [0.06, 0.07, 0.076, 0.081, 0.084, 0.092, 0.097, 0.1, 0.102, 0.108, 0.11, 0.11, 0.11] FMEG14 = [0.09, 0.1, 0.106, 0.111, 0.114, 0.122, 0.127, 0.13, 0.132, 0.138, 0.14, 0.14, 0.14] FMEG19 = [0.14, 0.15, 0.156, 0.161, 0.164, 0.172, 0.177, 0.18, 0.182, 0.188, 0.19, 0.19, 0.19] FMEG23 = [0.18, 0.19, 0.196, 0.201, 0.204, 0.212, 0.217, 0.22, 0.222, 0.228, 0.23, 0.23, 0.23] FMEG28 = [0.23, 0.24, 0.246, 0.251, 0.254, 0.262, 0.267, 0.27, 0.272, 0.278, 0.28, 0.28, 0.28] FMEG32 = [0.27, 0.28, 0.286, 0.291, 0.294, 0.302, 0.307, 0.31, 0.312, 0.318, 0.32, 0.32, 0.32] fan_crossflow_efficiencies = {'FMEG08': FMEG08, 'FMEG11': FMEG11, 'FMEG14': FMEG14, 'FMEG19': FMEG19, 'FMEG23': FMEG23, 'FMEG28': FMEG28, 'FMEG32': FMEG32}fluids-1.0.22/fluids/geometry.py0000644000175000017500000057007514302004506016113 0ustar nileshnilesh# -*- coding: utf-8 -*- """Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2016, 2017, 2018, 2019, 2020 Caleb Bell. Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. This module contains functionality for calculating parameters about different geometrical forms that come up in engineering practice. Implemented geometry objects are tanks, helical coils, cooling towers, air coolers, compact heat exchangers, and plate and frame heat exchangers. Additional functionality for typical catalyst/adsorbent pellet shapes is also included. For reporting bugs, adding feature requests, or submitting pull requests, please use the `GitHub issue tracker `_ or contact the author at Caleb.Andrew.Bell@gmail.com. .. contents:: :local: Main Interfaces --------------- .. autoclass :: TANK :members: :undoc-members: :show-inheritance: .. autofunction:: V_tank .. autofunction:: V_from_h .. autofunction:: SA_tank .. autofunction:: SA_from_h .. autoclass :: HelicalCoil :members: :undoc-members: :show-inheritance: .. autoclass :: PlateExchanger :members: :undoc-members: :show-inheritance: .. autoclass :: AirCooledExchanger :members: :undoc-members: :show-inheritance: .. autoclass :: HyperbolicCoolingTower :members: :undoc-members: :show-inheritance: .. autoclass :: RectangularFinExchanger :members: :undoc-members: :show-inheritance: .. autoclass :: RectangularOffsetStripFinExchanger :members: :undoc-members: :show-inheritance: Tank Volume Functions --------------------- .. autofunction:: V_partial_sphere .. autofunction:: V_horiz_conical .. autofunction:: V_horiz_ellipsoidal .. autofunction:: V_horiz_guppy .. autofunction:: V_horiz_spherical .. autofunction:: V_horiz_torispherical .. autofunction:: V_vertical_conical .. autofunction:: V_vertical_ellipsoidal .. autofunction:: V_vertical_spherical .. autofunction:: V_vertical_torispherical .. autofunction:: V_vertical_conical_concave .. autofunction:: V_vertical_ellipsoidal_concave .. autofunction:: V_vertical_spherical_concave .. autofunction:: V_vertical_torispherical_concave Tank Surface Area Functions --------------------------- .. autofunction:: SA_partial_sphere .. autofunction:: SA_ellipsoidal_head .. autofunction:: SA_conical_head .. autofunction:: SA_guppy_head .. autofunction:: SA_torispheroidal .. autofunction:: SA_partial_cylindrical_body .. autofunction:: SA_partial_horiz_conical_head .. autofunction:: SA_partial_horiz_spherical_head .. autofunction:: SA_partial_horiz_ellipsoidal_head .. autofunction:: SA_partial_horiz_guppy_head .. autofunction:: SA_partial_horiz_torispherical_head .. autofunction:: SA_partial_vertical_conical_head .. autofunction:: SA_partial_vertical_ellipsoidal_head .. autofunction:: SA_partial_vertical_spherical_head .. autofunction:: SA_partial_vertical_torispherical_head Miscellaneous Geometry Functions -------------------------------- .. autofunction:: pitch_angle_solver .. autofunction:: plate_enlargement_factor .. autofunction:: a_torispherical .. autofunction:: A_partial_circle .. autofunction:: circle_segment_h_from_A Pellet Properties ----------------- .. autofunction:: sphericity .. autofunction:: aspect_ratio .. autofunction:: circularity .. autofunction:: A_cylinder .. autofunction:: V_cylinder .. autofunction:: A_hollow_cylinder .. autofunction:: V_hollow_cylinder .. autofunction:: A_multiple_hole_cylinder .. autofunction:: V_multiple_hole_cylinder """ from __future__ import division from math import (pi, sin, cos, tan, asin, acos, atan, acosh, log, radians, degrees, sqrt) from cmath import sqrt as csqrt from fluids.constants import inch from fluids.core import PY3 from fluids.numerics import (cacos, catan, secant, brenth, newton, ellipe, ellipkinc, ellipeinc, horner, chebval, linspace, derivative, quad, translate_bound_func) __all__ = ['TANK', 'HelicalCoil', 'PlateExchanger', 'RectangularFinExchanger', 'RectangularOffsetStripFinExchanger', 'HyperbolicCoolingTower', 'AirCooledExchanger', 'SA_partial_sphere', 'V_partial_sphere', 'V_horiz_conical', 'V_horiz_ellipsoidal', 'V_horiz_guppy', 'V_horiz_spherical', 'V_horiz_torispherical', 'V_vertical_conical', 'V_vertical_ellipsoidal', 'V_vertical_spherical', 'V_vertical_torispherical', 'V_vertical_conical_concave', 'V_vertical_ellipsoidal_concave', 'V_vertical_spherical_concave', 'V_vertical_torispherical_concave', 'a_torispherical', 'SA_ellipsoidal_head', 'SA_conical_head', 'SA_guppy_head', 'SA_torispheroidal', 'SA_partial_cylindrical_body', 'A_partial_circle', 'SA_partial_horiz_conical_head', 'SA_partial_horiz_spherical_head', 'SA_partial_horiz_guppy_head', 'SA_partial_horiz_ellipsoidal_head', 'SA_partial_horiz_torispherical_head', 'SA_partial_vertical_conical_head', 'SA_partial_vertical_spherical_head', 'SA_partial_vertical_torispherical_head', 'SA_partial_vertical_ellipsoidal_head', 'V_from_h', 'V_tank', 'SA_from_h', 'SA_tank', 'sphericity', 'aspect_ratio', 'circularity', 'A_cylinder', 'V_cylinder', 'A_hollow_cylinder', 'V_hollow_cylinder', 'A_multiple_hole_cylinder', 'V_multiple_hole_cylinder', 'pitch_angle_solver', 'plate_enlargement_factor', 'circle_segment_h_from_A'] ### Spherical Vessels, partially filled def SA_partial_sphere(D, h): r'''Calculates surface area of a partial sphere according to [1]_. If h is half of D, the shape is half a sphere. No bottom is considered in this function. Valid inputs are positive values of D and h, with h always smaller or equal to D. .. math:: a = \sqrt{h(2r - h)} .. math:: A = \pi(a^2 + h^2) Parameters ---------- D : float Diameter of the sphere, [m] h : float Height, as measured from the cap to where the sphere is cut off [m] Returns ------- SA : float Surface area [m^2] Examples -------- >>> SA_partial_sphere(1., 0.7) 2.199114857512855 References ---------- .. [1] Weisstein, Eric W. "Spherical Cap." Text. Accessed December 22, 2015. http://mathworld.wolfram.com/SphericalCap.html.''' r = D*0.5 a = sqrt(h*(2.*r - h)) return pi*(a*a + h*h) def V_partial_sphere(D, h): r'''Calculates volume of a partial sphere according to [1]_. If h is half of D, the shape is half a sphere. No bottom is considered in this function. Valid inputs are positive values of D and h, with h always smaller or equal to D. .. math:: a = \sqrt{h(2r - h)} .. math:: V = 1/6 \pi h(3a^2 + h^2) Parameters ---------- D : float Diameter of the sphere, [m] h : float Height, as measured up to where the sphere is cut off, [m] Returns ------- V : float Volume [m^3] Examples -------- >>> V_partial_sphere(1., 0.7) 0.4105014400690663 References ---------- .. [1] Weisstein, Eric W. "Spherical Cap." Text. Accessed December 22, 2015. http://mathworld.wolfram.com/SphericalCap.html.''' if h <= 0.0: return 0.0 r = 0.5*D a = sqrt(h*(2.*r - h)) return 1/6.*pi*h*(3.*a*a + h*h) #def V_horizontal_bullet(D, L, H, b=None): # # As in GPSA # if not b: # b = 0.25*D # elliptical 2:1 heads # Ze = H/D # Zc = H/D # K1 = 2*b/D # alpha = 2*atan(H/sqrt(2*H*D/2 - H**2)) # fZc = (alpha - sin(alpha)*cos(alpha))/pi # fZe = -H**2/D**2*(-3 + 2*H/D) # V = 1/6.*pi*K1*D**3*fZe + 1/4.*pi*D**2*L*fZc # return V #print(V_horizontal_bullet(1., 5., .4999999999999, 0.000000000000000001)) #def V_vertical_bullet(D, L, H, b=None): # K1 = 2*b/D # Ze = (H1 + H2)/K1*D # is divided by D? # fZe = -((H1 + H2)) # # V = 1/6.*pi*K1*D**3*fZe + 1/4.*pi*D**2*L*fZc # return V ### Functions as developed by Dan Jones def V_horiz_conical(D, L, a, h, headonly=False): r'''Calculates volume of a tank with conical ends, according to [1]_. .. math:: V_f = A_fL + \frac{2aR^2}{3}K, \;\;0 \le h < R\\ .. math:: V_f = A_fL + \frac{2aR^2}{3}\pi/2,\;\; h = R\\ .. math:: V_f = A_fL + \frac{2aR^2}{3}(\pi-K), \;\; R< h \le 2R .. math:: K = \cos^{-1} M + M^3\cosh^{-1} \frac{1}{M} - 2M\sqrt{1 - M^2} .. math:: M = \left|\frac{R-h}{R}\right| .. math:: Af = R^2\cos^{-1}\frac{R-h}{R} - (R-h)\sqrt{2Rh - h^2} Parameters ---------- D : float Diameter of the main cylindrical section, [m] L : float Length of the main cylindrical section, [m] a : float Distance the cone head extends on one side, [m] h : float Height, as measured up to where the fluid ends, [m] headonly : bool, optional Function returns only the volume of a single head side if True Returns ------- V : float Volume [m^3] Examples -------- Matching example from [1]_, with inputs in inches and volume in gallons. >>> V_horiz_conical(D=108., L=156., a=42., h=36)/231 2041.1923581273443 References ---------- .. [1] Jones, D. "Calculating Tank Volume." Text. Accessed December 22, 2015. http://www.webcalc.com.br/blog/Tank_Volume.PDF''' if h <= 0.0: return 0.0 R = 0.5*D R_third = R/3.0 t0 = (R-h)/R if t0 < -1.0 or t0 > 1.0: raise ValueError("Unphysical height") Af = R*R*acos(t0) - (R-h)*sqrt(h*(R + R - h)) M = abs(t0) if h == R: Vf = a*R*R_third*pi else: K = acos(M) + M*M*M*acosh(1./M) - 2.*M*sqrt(1.-M*M) if 0. <= h < R: Vf = 2.*a*R*R_third*K else: # elif R < h <= 2.0*R: Vf = 2.*a*R*R_third*(pi - K) if headonly: Vf = 0.5*Vf else: Vf += Af*L return Vf def V_horiz_ellipsoidal(D, L, a, h, headonly=False): r'''Calculates volume of a tank with ellipsoidal ends, according to [1]_. .. math:: V_f = A_fL + \pi a h^2\left(1 - \frac{h}{3R}\right) .. math:: Af = R^2\cos^{-1}\frac{R-h}{R} - (R-h)\sqrt{2Rh - h^2} Parameters ---------- D : float Diameter of the main cylindrical section, [m] L : float Length of the main cylindrical section, [m] a : float Distance the ellipsoidal head extends on one side, [m] h : float Height, as measured up to where the fluid ends, [m] headonly : bool, optional Function returns only the volume of a single head side if True Returns ------- V : float Volume [m^3] Examples -------- Matching example from [1]_, with inputs in inches and volume in gallons. >>> V_horiz_ellipsoidal(D=108, L=156, a=42, h=36)/231. 2380.9565415578145 References ---------- .. [1] Jones, D. "Calculating Tank Volume." Text. Accessed December 22, 2015. http://www.webcalc.com.br/blog/Tank_Volume.PDF''' if h <= 0.0: return 0.0 R = 0.5*D Af = R*R*acos((R-h)/R) - (R-h)*sqrt(2*R*h - h*h) Vf = pi*a*h*h*(1 - h/(3.*R)) if headonly: Vf = 0.5*Vf else: Vf += Af*L return Vf def V_horiz_guppy(D, L, a, h, headonly=False): r'''Calculates volume of a tank with guppy heads, according to [1]_. .. math:: V_f = A_fL + \frac{2aR^2}{3}\cos^{-1}\left(1 - \frac{h}{R}\right) +\frac{2a}{9R}\sqrt{2Rh - h^2}(2h-3R)(h+R) .. math:: Af = R^2\cos^{-1}\frac{R-h}{R} - (R-h)\sqrt{2Rh - h^2} Parameters ---------- D : float Diameter of the main cylindrical section, [m] L : float Length of the main cylindrical section, [m] a : float Distance the guppy head extends on one side, [m] h : float Height, as measured up to where the fluid ends, [m] headonly : bool, optional Function returns only the volume of a single head side if True Returns ------- V : float Volume [m^3] Examples -------- Matching example from [1]_, with inputs in inches and volume in gallons. >>> V_horiz_guppy(D=108., L=156., a=42., h=36)/231. 1931.7208029476762 References ---------- .. [1] Jones, D. "Calculating Tank Volume." Text. Accessed December 22, 2015. http://www.webcalc.com.br/blog/Tank_Volume.PDF''' if h <= 0.0: return 0.0 R = 0.5*D x0 = sqrt(2.*R*h - h*h) Af = R*R*acos((R-h)/R) - (R-h)*x0 Vf = 2.*a*R*R/3.*acos(1. - h/R) + 2.*a/9./R*x0*(2.0*h - 3.0*R)*(h + R) if headonly: Vf = Vf*0.5 else: Vf += Af*L return Vf def _V_horiz_spherical_toint(x, r2, R2, den_inv): x2 = x*x return (r2 - x2)*atan(sqrt((R2 - x2)*den_inv)) def V_horiz_spherical(D, L, a, h, headonly=False): r'''Calculates volume of a tank with spherical heads, according to [1]_. .. math:: V_f = A_fL + \frac{\pi a}{6}(3R^2 + a^2),\;\; h = R, |a|\le R .. math:: V_f = A_fL + \frac{\pi a}{3}(3R^2 + a^2),\;\; h = D, |a|\le R .. math:: V_f = A_fL + \pi a h^2\left(1 - \frac{h}{3R}\right),\;\; h = 0, \text{ or } |a| = 0, R, -R .. math:: V_f = A_fL + \frac{a}{|a|}\left\{\frac{2r^3}{3}\left[\cos^{-1} \frac{R^2 - rw}{R(w-r)} + \cos^{-1}\frac{R^2 + rw}{R(w+r)} - \frac{z}{r}\left(2 + \left(\frac{R}{r}\right)^2\right) \cos^{-1}\frac{w}{R}\right] - 2\left(wr^2 - \frac{w^3}{3}\right) \tan^{-1}\frac{y}{z} + \frac{4wyz}{3}\right\} ,\;\; h \ne R, D; a \ne 0, R, -R, |a| \ge 0.01D .. math:: V_f = A_fL + \frac{a}{|a|}\left[2\int_w^R(r^2 - x^2)\tan^{-1} \sqrt{\frac{R^2-x^2}{r^2-R^2}}dx - A_f z\right] ,\;\; h \ne R, D; a \ne 0, R, -R, |a| < 0.01D .. math:: Af = R^2\cos^{-1}\frac{R-h}{R} - (R-h)\sqrt{2Rh - h^2} .. math:: r = \frac{a^2 + R^2}{2|a|} .. math:: w = R - h .. math:: y = \sqrt{2Rh-h^2} .. math:: z = \sqrt{r^2 - R^2} Parameters ---------- D : float Diameter of the main cylindrical section, [m] L : float Length of the main cylindrical section, [m] a : float Distance the spherical head extends on one side, [m] h : float Height, as measured up to where the fluid ends, [m] headonly : bool, optional Function returns only the volume of a single head side if True Returns ------- V : float Volume [m^3] Examples -------- Matching example from [1]_, with inputs in inches and volume in gallons. >>> V_horiz_spherical(D=108., L=156., a=42., h=36)/231. 2303.9615116986183 References ---------- .. [1] Jones, D. "Calculating Tank Volume." Text. Accessed December 22, 2015. http://www.webcalc.com.br/blog/Tank_Volume.PDF''' if h <= 0.0: return 0.0 R = D/2. r = (a*a + R*R)/2./abs(a) w = R - h y = sqrt(2*R*h - h**2) z = sqrt(r**2 - R**2) Af = R**2*acos((R-h)/R) - (R-h)*sqrt(2*R*h - h**2) if h == R and abs(a) <= R: Vf = pi*a/6*(3*R**2 + a**2) elif h == D and abs(a) <= R: Vf = pi*a/3*(3*R**2 + a**2) elif h == 0 or a == 0 or a == R or a == -R or z == 0.0: Vf = pi*a*h**2*(1 - h/3./R) elif abs(a) >= 0.01*D: Vf = a/abs(a)*( 2*r**3/3.*(acos((R**2 - r*w)/(R*(w-r))) + acos((R**2+r*w)/(R*(w+r))) - z/r*(2+(R/r)**2)*acos(w/R)) - 2*(w*r**2 - w**3/3)*atan(y/z) + 4*w*y*z/3) else: r2 = r*r R2 = R*R den_inv = 1.0/(r2 - R2) integrated = quad(_V_horiz_spherical_toint, w, R, args=(r2, R2, den_inv))[0] # , epsrel=1.49e-13, Vf = a/abs(a)*(2*integrated - Af*z) if headonly: Vf = Vf/2. else: Vf += Af*L return Vf def V_horiz_torispherical_toint_1(x, w, c10, c11): # No analytical integral available in MP n = c11 + sqrt(c10 - x*x) n2 = n*n t = sqrt(n2 - w*w) return n2*asin(t/n) - w*t def V_horiz_torispherical_toint_2(x, w, c10, c11, g, g2): # No analytical integral available in MP n = c11 + sqrt(c10 - x*x) n2 = n*n n_inv = 1.0/n ans = n2*(acos(w*n_inv) - acos(g*n_inv)) - w*sqrt(n2 - w*w) + g*sqrt(n2 - g2) return ans def V_horiz_torispherical_toint_3(x, r2, g2, z_inv): # There is an analytical integral in MP, but for all cases we seem to # get ZeroDivisionError: 0.0 cannot be raised to a negative power x2 = x*x return (r2 - x2)*atan(sqrt(g2 - x2)*z_inv) def V_horiz_torispherical(D, L, f, k, h, headonly=False): r'''Calculates volume of a tank with torispherical heads, according to [1]_. .. math:: V_f = A_fL + 2V_1, \;\; 0 \le h \le h_1\\ V_f = A_fL + 2(V_{1,max} + V_2 + V_3), \;\; h_1 < h < h_2\\ V_f = A_fL + 2[2V_{1,max} - V_1(h=D-h) + V_{2,max} + V_{3,max}] , \;\; h_2 \le h \le D .. math:: V_1 = \int_0^{\sqrt{2kDh - h^2}} \left[n^2\sin^{-1}\frac{\sqrt {n^2-w^2}}{n} - w\sqrt{n^2-w^2}\right]dx .. math:: V_2 = \int_0^{kD\cos\alpha}\left[n^2\left(\cos^{-1}\frac{w}{n} - \cos^{-1}\frac{g}{n}\right) - w\sqrt{n^2 - w^2} + g\sqrt{n^2 - g^2}\right]dx .. math:: V_3 = \int_w^g(r^2 - x^2)\tan^{-1}\frac{\sqrt{g^2 - x^2}}{z}dx - \frac{z}{2}\left(g^2\cos^{-1}\frac{w}{g} - w\sqrt{2g(h-h_1) - (h-h_1)^2}\right) .. math:: V_{1,max} = v_1(h=h_1) .. math:: v_{2,max} = v_2(h=h_2) .. math:: v_{3,max} = \frac{\pi a_1}{6}(3g^2 + a_1^2) .. math:: a_1 = fD(1-\cos\alpha) .. math:: \alpha = \sin^{-1}\frac{1-2k}{2(f-k)} .. math:: n = R - kD + \sqrt{k^2D^2-x^2} .. math:: g = r\sin\alpha .. math:: r = fD .. math:: h_2 = D - h_1 .. math:: w = R - h .. math:: z = \sqrt{r^2- g^2} Parameters ---------- D : float Diameter of the main cylindrical section, [m] L : float Length of the main cylindrical section, [m] f : float Dimensionless dish-radius parameter; also commonly given as the product of `f` and `D` (`fD`), which is called both dish radius and also crown radius and has units of length, [-] k : float Dimensionless knuckle-radius parameter; also commonly given as the product of `k` and `D` (`kD`), which is called the knuckle radius and has units of length, [-] h : float Height, as measured up to where the fluid ends, [m] headonly : bool, optional Function returns only the volume of a single head side if True Returns ------- V : float Volume [m^3] Examples -------- Matching example from [1]_, with inputs in inches and volume in gallons. >>> V_horiz_torispherical(D=108., L=156., f=1., k=0.06, h=36)/231. 2028.62667 References ---------- .. [1] Jones, D. "Calculating Tank Volume." Text. Accessed December 22, 2015. http://www.webcalc.com.br/blog/Tank_Volume.PDF''' if h <= 0.0: return 0.0 if f is None or k is None: raise ValueError("Missing f or k") R = 0.5*D R2 = R*R hh = h*h Af = R2*acos((R-h)/R) - (R-h)*sqrt(2.0*R*h - hh) r = f*D alpha = asin((1.0 - 2.0*k)/(2.*(f - k))) cos_alpha = cos(alpha) sin_alpha = sin(alpha) a1 = r*(1.0 - cos_alpha) g = r*sin_alpha z = r*cos_alpha h1 = k*D*(1.0 - sin_alpha) h2 = D - h1 # Chebfun in Python failed on these functions c10 = k*k*D*D c11 = R - k*D g2 = g*g r2 = r*r if 0.0 <= h <= h1: w = R - h Vf = 2.0*quad(V_horiz_torispherical_toint_1, 0.0, sqrt(2.0*k*D*h - hh), (w, c10, c11))[0] elif h1 < h < h2: w = R - h wmax1 = R - h1 V1max = quad(V_horiz_torispherical_toint_1, 0.0, sqrt(2.0*k*D*h1 - h1*h1), (wmax1,c10, c11))[0] V2 = quad(V_horiz_torispherical_toint_2, 0.0, k*D*cos_alpha, (w, c10, c11, g, g2))[0] V3 = quad(V_horiz_torispherical_toint_3, w, g , (r2, g2, 1.0/z))[0] - 0.5*z*(g*g*acos(w/g) -w*sqrt(2.0*g*(h-h1) - (h-h1)*(h-h1))) Vf = 2.0*(V1max + V2 + V3) else: w = R - h wmax1 = R - h1 wmax2 = R - h2 wwerird = R - (D - h) V1max = quad(V_horiz_torispherical_toint_1, 0.0, sqrt(2.0*k*D*h1-h1*h1), (wmax1,c10, c11))[0] V1weird = quad(V_horiz_torispherical_toint_1, 0.0, sqrt(2.0*k*D*(D-h)-(D-h)*(D-h)), (wwerird,c10, c11))[0] V2max = quad(V_horiz_torispherical_toint_2, 0.0, k*D*cos_alpha, (wmax2, c10, c11, g, g2))[0] V3max = pi*a1/6.*(3.0*g*g + a1*a1) Vf = 2.0*(2.0*V1max - V1weird + V2max + V3max) if headonly: Vf = Vf/2. else: Vf += Af*L return Vf ### Begin vertical tanks def V_vertical_conical(D, a, h): r'''Calculates volume of a vertical tank with a convex conical bottom, according to [1]_. No provision for the top of the tank is made here. .. math:: V_f = \frac{\pi}{4}\left(\frac{Dh}{a}\right)^2\left(\frac{h}{3}\right),\; h < a .. math:: V_f = \frac{\pi D^2}{4}\left(h - \frac{2a}{3}\right),\; h\ge a Parameters ---------- D : float Diameter of the main cylindrical section, [m] a : float Distance the cone head extends under the main cylinder, [m] h : float Height, as measured up to where the fluid ends, [m] Returns ------- V : float Volume [m^3] Examples -------- Matching example from [1]_, with inputs in inches and volume in gallons. >>> V_vertical_conical(132., 33., 24)/231. 250.67461381371024 References ---------- .. [1] Jones, D. "Calculating Tank Volume." Text. Accessed December 22, 2015. http://www.webcalc.com.br/blog/Tank_Volume.PDF''' if h <= 0.0: return 0.0 if h < a: Vf = pi/4*(D*h/a)**2*(h/3.) else: Vf = pi*D**2/4*(h - 2*a/3.) return Vf def V_vertical_ellipsoidal(D, a, h): r'''Calculates volume of a vertical tank with a convex ellipsoidal bottom, according to [1]_. No provision for the top of the tank is made here. .. math:: V_f = \frac{\pi}{4}\left(\frac{Dh}{a}\right)^2 \left(a - \frac{h}{3}\right),\; h < a .. math:: V_f = \frac{\pi D^2}{4}\left(h - \frac{a}{3}\right),\; h \ge a Parameters ---------- D : float Diameter of the main cylindrical section, [m] a : float Distance the ellipsoid head extends under the main cylinder, [m] h : float Height, as measured up to where the fluid ends, [m] Returns ------- V : float Volume [m^3] Examples -------- Matching example from [1]_, with inputs in inches and volume in gallons. >>> V_vertical_ellipsoidal(132., 33., 24)/231. 783.3581681678445 References ---------- .. [1] Jones, D. "Calculating Tank Volume." Text. Accessed December 22, 2015. http://www.webcalc.com.br/blog/Tank_Volume.PDF''' if h <= 0.0: return 0.0 if h < a: Vf = pi/4*(D*h/a)**2*(a - h/3.) else: Vf = pi*D**2/4*(h - a/3.) return Vf def V_vertical_spherical(D, a, h): r'''Calculates volume of a vertical tank with a convex spherical bottom, according to [1]_. No provision for the top of the tank is made here. .. math:: V_f = \frac{\pi h^2}{4}\left(2a + \frac{D^2}{2a} - \frac{4h}{3}\right),\; h < a .. math:: V_f = \frac{\pi}{4}\left(\frac{2a^3}{3} - \frac{aD^2}{2} + hD^2\right),\; h\ge a Parameters ---------- D : float Diameter of the main cylindrical section, [m] a : float Distance the spherical head extends under the main cylinder, [m] h : float Height, as measured up to where the fluid ends, [m] Returns ------- V : float Volume [m^3] Examples -------- Matching example from [1]_, with inputs in inches and volume in gallons. >>> V_vertical_spherical(132., 33., 24)/231. 583.6018352850442 References ---------- .. [1] Jones, D. "Calculating Tank Volume." Text. Accessed December 22, 2015. http://www.webcalc.com.br/blog/Tank_Volume.PDF''' if h <= 0.0: return 0.0 if h < a: Vf = pi*h**2/4*(2*a + D**2/2/a - 4*h/3) else: Vf = pi/4*(2*a**3/3 - a*D**2/2 + h*D**2) return Vf def V_vertical_torispherical(D, f, k, h): r'''Calculates volume of a vertical tank with a convex torispherical bottom, according to [1]_. No provision for the top of the tank is made here. .. math:: V_f = \frac{\pi h^2}{4}\left(2a_1 + \frac{D_1^2}{2a_1} - \frac{4h}{3}\right),\; 0 \le h \le a_1 .. math:: V_f = \frac{\pi}{4}\left(\frac{2a_1^3}{3} + \frac{a_1D_1^2}{2}\right) +\pi u\left[\left(\frac{D}{2}-kD\right)^2 +s\right] + \frac{\pi tu^2}{2} - \frac{\pi u^3}{3} + \pi D(1-2k)\left[ \frac{2u-t}{4}\sqrt{s+tu-u^2} + \frac{t\sqrt{s}}{4} + \frac{k^2D^2}{2}\left(\cos^{-1}\frac{t-2u}{2kD}-\alpha\right)\right] ,\; a_1 < h \le a_1 + a_2 .. math:: V_f = \frac{\pi}{4}\left(\frac{2a_1^3}{3} + \frac{a_1D_1^2}{2}\right) +\frac{\pi t}{2}\left[\left(\frac{D}{2}-kD\right)^2 +s\right] +\frac{\pi t^3}{12} + \pi D(1-2k)\left[\frac{t\sqrt{s}}{4} + \frac{k^2D^2}{2}\sin^{-1}(\cos\alpha)\right] + \frac{\pi D^2}{4}[h-(a_1+a_2)] ,\; a_1 + a_2 < h .. math:: \alpha = \sin^{-1}\frac{1-2k}{2(f-k)} .. math:: a_1 = fD(1-\cos\alpha) .. math:: a_2 = kD\cos\alpha .. math:: D_1 = 2fD\sin\alpha .. math:: s = (kD\sin\alpha)^2 .. math:: t = 2a_2 .. math:: u = h - fD(1-\cos\alpha) Parameters ---------- D : float Diameter of the main cylindrical section, [m] f : float Dimensionless dish-radius parameter; also commonly given as the product of `f` and `D` (`fD`), which is called dish radius and has units of length, [-] k : float Dimensionless knuckle-radius parameter; also commonly given as the product of `k` and `D` (`kD`), which is called the knuckle radius and has units of length, [-] h : float Height, as measured up to where the fluid ends, [m] Returns ------- V : float Volume [m^3] Examples -------- Matching example from [1]_, with inputs in inches and volume in gallons. >>> V_vertical_torispherical(D=132., f=1.0, k=0.06, h=24)/231. 904.0688283793 References ---------- .. [1] Jones, D. "Calculating Tank Volume." Text. Accessed December 22, 2015. http://www.webcalc.com.br/blog/Tank_Volume.PDF''' if h <= 0.0: return 0.0 if f is None or k is None: raise ValueError("f and k are required") alpha = asin((1.0 - 2.0*k)/(2.0*(f-k))) sin_alpha = sin(alpha) cos_alpha = cos(alpha) a1 = f*D*(1.0 - cos_alpha) a2 = k*D*cos_alpha D1 = 2.0*f*D*sin_alpha x1 = k*D*sin_alpha s = x1*x1 t = a2 + a2 u = h - f*D*(1.0 - cos_alpha) h2 = h*h if 0.0 <= h <= a1: Vf = 0.25*pi*h2*(a1 + a1 + 0.5*D1*D1/a1 - (4.0/3.0)*h) elif a1 < h <= a1 + a2: x2 = (0.5*D - k*D) u2 = u*u Vf = (0.25*pi*a1*((2.0/3.0)*a1*a1 + 0.5*D1*D1) + pi*u*(x2*x2 + s) + pi*u2*(0.5*t - u/3.) + pi*D*(1.0 - 2.0*k)*(0.25*(2.0*u - t)*sqrt(s + t*u - u2) + 0.25*t*sqrt(s) + 0.5*k*k*D*D*(acos((t - 2.0*u)/(2.0*k*D)) - alpha))) else: Vf = pi/4*(2*a1**3/3. + a1*D1**2/2.) + pi*t/2.*((D/2 - k*D)**2 + s) + pi*t**3/12. + pi*D*(1 - 2*k)*(t*sqrt(s)/4 + k**2*D**2/2*asin(cos(alpha))) + pi*D**2/4*(h - (a1 + a2)) return Vf ### Begin vertical tanks with concave heads def V_vertical_conical_concave(D, a, h): r'''Calculates volume of a vertical tank with a concave conical bottom, according to [1]_. No provision for the top of the tank is made here. .. math:: V = \frac{\pi D^2}{12} \left(3h + a - \frac{(a+h)^3}{a^2}\right) ,\;\; 0 \le h < |a| .. math:: V = \frac{\pi D^2}{12} (3h + a ),\;\; h \ge |a| Parameters ---------- D : float Diameter of the main cylindrical section, [m] a : float Negative distance the cone head extends inside the main cylinder, [m] h : float Height, as measured up to where the fluid ends, [m] Returns ------- V : float Volume [m^3] Examples -------- Matching example from [1]_, with inputs in inches and volume in gallons. >>> V_vertical_conical_concave(D=113., a=-33, h=15)/231 251.15825565795188 References ---------- .. [1] Jones, D. "Compute Fluid Volumes in Vertical Tanks." Chemical Processing. December 18, 2003. http://www.chemicalprocessing.com/articles/2003/193/ ''' if h <= 0.0: return 0.0 if h < abs(a): Vf = pi*D**2/12.*(3*h + a - (a+h)**3/a**2) else: Vf = pi*D**2/12.*(3*h + a) return Vf def V_vertical_ellipsoidal_concave(D, a, h): r'''Calculates volume of a vertical tank with a concave ellipsoidal bottom, according to [1]_. No provision for the top of the tank is made here. .. math:: V = \frac{\pi D^2}{12} \left(3h + 2a - \frac{(a+h)^2(2a-h)}{a^2}\right) ,\;\; 0 \le h < |a| .. math:: V = \frac{\pi D^2}{12} (3h + 2a ),\;\; h \ge |a| Parameters ---------- D : float Diameter of the main cylindrical section, [m] a : float Negative distance the eppilsoid head extends inside the main cylinder, [m] h : float Height, as measured up to where the fluid ends, [m] Returns ------- V : float Volume [m^3] Examples -------- Matching example from [1]_, with inputs in inches and volume in gallons. >>> V_vertical_ellipsoidal_concave(D=113., a=-33, h=15)/231 44.84968851034856 References ---------- .. [1] Jones, D. "Compute Fluid Volumes in Vertical Tanks." Chemical Processing. December 18, 2003. http://www.chemicalprocessing.com/articles/2003/193/ ''' if h <= 0.0: return 0.0 if h < abs(a): Vf = pi*D**2/12.*(3*h + 2*a - (a+h)**2*(2*a-h)/a**2) else: Vf = pi*D**2/12.*(3*h + 2*a) return Vf def V_vertical_spherical_concave(D, a, h): r'''Calculates volume of a vertical tank with a concave spherical bottom, according to [1]_. No provision for the top of the tank is made here. .. math:: V = \frac{\pi}{12}\left[3D^2h + \frac{a}{2}(3D^2 + 4a^2) + (a+h)^3 \left(4 - \frac{3D^2 + 12a^2}{2a(a+h)}\right)\right],\;\; 0 \le h < |a| .. math:: V = \frac{\pi}{12}\left[3D^2h + \frac{a}{2}(3D^2 + 4a^2) \right] ,\;\; h \ge |a| Parameters ---------- D : float Diameter of the main cylindrical section, [m] a : float Negative distance the spherical head extends inside the main cylinder, [m] h : float Height, as measured up to where the fluid ends, [m] Returns ------- V : float Volume [m^3] Examples -------- Matching example from [1]_, with inputs in inches and volume in gallons. >>> V_vertical_spherical_concave(D=113., a=-33, h=15)/231 112.81405437348528 References ---------- .. [1] Jones, D. "Compute Fluid Volumes in Vertical Tanks." Chemical Processing. December 18, 2003. http://www.chemicalprocessing.com/articles/2003/193/ ''' if h <= 0.0: return 0.0 if h < abs(a): Vf = pi/12*(3*D**2*h + a/2.*(3*D**2 + 4*a**2) + (a+h)**3*(4 - (3*D**2+12*a**2)/(2.*a*(a+h)))) else: Vf = pi/12*(3*D**2*h + a/2.*(3*D**2 + 4*a**2)) return Vf def V_vertical_torispherical_concave(D, f, k, h): r'''Calculates volume of a vertical tank with a concave torispherical bottom, according to [1]_. No provision for the top of the tank is made here. .. math:: V = \frac{\pi D^2 h}{4} - v_1(h=a_1+a_2) + v_1(h=a_1 + a_2 -h),\; 0 \le h < a_2 .. math:: V = \frac{\pi D^2 h}{4} - v_1(h=a_1+a_2) + v_2(h=a_1 + a_2 -h),\; a_2 \le h < a_1 + a_2 .. math:: V = \frac{\pi D^2 h}{4} - v_1(h=a_1+a_2) + 0,\; h \ge a_1 + a_2 .. math:: v_1 = \frac{\pi}{4}\left(\frac{2a_1^3}{3} + \frac{a_1D_1^2}{2}\right) +\pi u\left[\left(\frac{D}{2}-kD\right)^2 +s\right] + \frac{\pi tu^2}{2} - \frac{\pi u^3}{3} + \pi D(1-2k)\left[ \frac{2u-t}{4}\sqrt{s+tu-u^2} + \frac{t\sqrt{s}}{4} + \frac{k^2D^2}{2}\left(\cos^{-1}\frac{t-2u}{2kD}-\alpha\right)\right] .. math:: v_2 = \frac{\pi h^2}{4}\left(2a_1 + \frac{D_1^2}{2a_1} - \frac{4h}{3}\right) .. math:: \alpha = \sin^{-1}\frac{1-2k}{2(f-k)} .. math:: a_1 = fD(1-\cos\alpha) .. math:: a_2 = kD\cos\alpha .. math:: D_1 = 2fD\sin\alpha .. math:: s = (kD\sin\alpha)^2 .. math:: t = 2a_2 .. math:: u = h - fD(1-\cos\alpha) Parameters ---------- D : float Diameter of the main cylindrical section, [m] f : float Dimensionless dish-radius parameter; also commonly given as the product of `f` and `D` (`fD`), which is called dish radius and has units of length, [-] k : float Dimensionless knuckle-radius parameter; also commonly given as the product of `k` and `D` (`kD`), which is called the knuckle radius and has units of length, [-] h : float Height, as measured up to where the fluid ends, [m] Returns ------- V : float Volume [m^3] Examples -------- Matching example from [1]_, with inputs in inches and volume in gallons. >>> V_vertical_torispherical_concave(D=113., f=0.71, k=0.081, h=15)/231 103.88569287163769 References ---------- .. [1] Jones, D. "Compute Fluid Volumes in Vertical Tanks." Chemical Processing. December 18, 2003. http://www.chemicalprocessing.com/articles/2003/193/ ''' if h <= 0.0: return 0.0 alpha = asin((1-2*k)/(2.*(f-k))) a1 = f*D*(1-cos(alpha)) a2 = k*D*cos(alpha) D1 = 2*f*D*sin(alpha) s = (k*D*sin(alpha))**2 t = 2*a2 def V1(h): u = h-f*D*(1-cos(alpha)) v1 = pi/4*(2*a1**3/3. + a1*D1**2/2.) + pi*u*((D/2.-k*D)**2 +s) v1 += pi*t*u**2/2. - pi*u**3/3. v1 += pi*D*(1-2*k)*((2*u-t)/4.*sqrt(s+t*u-u**2) + t*sqrt(s)/4. + k**2*D**2/2.*(acos((t-2*u)/(2*k*D)) -alpha)) return v1 def V2(h): v2 = pi*h**2/4.*(2*a1 + D1**2/(2.*a1) - 4*h/3.) return v2 if 0 <= h < a2: Vf = pi*D**2*h/4 - V1(a1+a2) + V1(a1+a2-h) elif a2 <= h < a1 + a2: Vf = pi*D**2*h/4 - V1(a1+a2) + V2(a1+a2-h) else: Vf = pi*D**2*h/4 - V1(a1+a2) return Vf ### Total surface area of heads, orientation-independent def SA_ellipsoidal_head(D, a): r'''Calculates the surface area of an ellipsoidal head according to [1]_ and [2]_. The formula below is for the full shape, the result of which is halved. The formula is for :math:`a < R`. In the equations, `a` is the same and `c` is `D`. .. math:: \text{SA} = 2\pi a^2 + \frac{\pi c^2}{e_1}\ln\left(\frac{1+e_1}{1-e_1} \right) .. math:: e_1 = \sqrt{1 - \frac{c^2}{a^2}} For the case of :math:`a \ge R` from [2]_, which is needed to make the tank head volume grow linearly with length: .. math:: \text{SA} = 2\pi R^2 + \frac{2\pi a^2 R}{\sqrt{a^2 - R^2}}\cos^{-1}\frac{R}{|a|} Parameters ---------- D : float Diameter of the main cylindrical section, [m] a : float Distance the ellipsoidal head extends, [m] Returns ------- SA : float Surface area [m^2] Examples -------- Spherical case >>> SA_ellipsoidal_head(2, 1) 6.283185307179586 >>> SA_ellipsoidal_head(2, 1.5) 8.459109081729984 References ---------- .. [1] Weisstein, Eric W. "Spheroid." Text. Accessed March 14, 2016. http://mathworld.wolfram.com/Spheroid.html. .. [2] Jones, D. "Calculating Tank Wetted Area." Text. Chemical Processing. April 2017. https://www.chemicalprocessing.com/assets/Uploads/calculating-tank-wetted-area.pdf ''' if D == a*2.0: return 0.5*pi*D*D # necessary to avoid a division by zero when D == a R = 0.5*D if a < R: R, a = min((R, a)), max((R, a)) e1 = sqrt(1.0 - R*R/(a*a)) if e1 != 1.0: # try: log_term = log((1.0 + e1)/(1.0 - e1)) # except ZeroDivisionError: else: # Limit as a goes to zero relative to D; may only be ~6 orders of # magnitude smaller than D and will still occur log_term = 0.0 return (2.0*pi*a*a + pi*R*R/e1*log_term)*0.5 else: return pi*R*R + pi*a*a*R*1.0/sqrt(a*a - R*R)*acos(R/abs(a)) def SA_conical_head(D, a): r'''Calculates the surface area of a conical head according to [1]_. .. math:: SA = \frac{\pi D}{2} \sqrt{a^2 + \left(\frac{D}{2}\right)^2} Parameters ---------- D : float Diameter of the main cylindrical section, [m] a : float Distance the conical head extends, [m] Returns ------- SA : float Surface area [m^2] Examples -------- >>> SA_conical_head(2, 1) 4.442882938158366 References ---------- .. [1] Weisstein, Eric W. "Cone." Text. Accessed March 14, 2016. http://mathworld.wolfram.com/Cone.html.''' return 0.5*pi*D*sqrt(a*a + 0.25*D*D) def SA_guppy_head(D, a): r'''Calculates the surface area of a guppy head according to [1]_. Some work was involved in combining formulas for the ellipse of the head, and the conic section on the sides. .. math:: SA = \frac{\pi D}{4}\sqrt{D^2 + a^2} + \frac{\pi D}{2}a Parameters ---------- D : float Diameter of the main cylindrical section, [m] a : float Distance the conical head extends, [m] Returns ------- SA : float Surface area [m^2] Examples -------- >>> SA_guppy_head(2, 1) 6.654000019110157 References ---------- .. [1] Weisstein, Eric W. "Cone." Text. Accessed March 14, 2016. http://mathworld.wolfram.com/Cone.html.''' return 0.25*pi*D*sqrt(a*a + D*D) + 0.5*pi*D*a def SA_torispheroidal(D, f, k): r'''Calculates surface area of a torispherical head according to [1]_. Somewhat involved. Equations are adapted to be used for a full head. .. math:: SA = S_1 + S_2 .. math:: S_1 = 2\pi D^2 f_d \alpha .. math:: S_2 = 2\pi D^2 f_k\left(\alpha - \alpha_1 + (0.5 - f_k)\left(\sin^{-1} \left(\frac{\alpha-\alpha_2}{f_k}\right) - \sin^{-1}\left(\frac{ \alpha_1-\alpha_2}{f_k}\right)\right)\right) .. math:: \alpha_1 = f_d\left(1 - \sqrt{1 - \left(\frac{0.5 - f_k}{f_d-f_k} \right)^2}\right) .. math:: \alpha_2 = f_d - \sqrt{f_d^2 - 2f_d f_k + f_k - 0.25} .. math:: \alpha = \frac{a}{D_i} Parameters ---------- D : float Diameter of the main cylindrical section, [m] f : float Dimensionless dish-radius parameter; also commonly given as the product of `f` and `D` (`fD`), which is called dish radius and has units of length, [-] k : float Dimensionless knuckle-radius parameter; also commonly given as the product of `k` and `D` (`kD`), which is called the knuckle radius and has units of length, [-] Returns ------- SA : float Surface area [m^2] Examples -------- Example from [1]_. >>> SA_torispheroidal(D=2.54, f=1.039370079, k=0.062362205) 6.00394283477063 References ---------- .. [1] Honeywell. "Calculate Surface Areas and Cross-sectional Areas in Vessels with Dished Heads". https://www.honeywellprocess.com/library/marketing/whitepapers/WP-VesselsWithDishedHeads-UniSimDesign.pdf Whitepaper. 2014. ''' D2 = D*D x1 = 2.0*pi*D2 k_inv = 1.0/k x2 = ((0.5 - k)/(f-k)) alpha_1 = f*(1.0 - sqrt(1.0 - x2*x2)) alpha_2 = f - sqrt(f*f - 2.0*f*k + k - 0.25) alpha = alpha_1 # Up to top of dome S1 = x1*f*alpha_1 alpha = alpha_2 # up to top of torus S2_sub = asin((alpha-alpha_2)*k_inv) - asin((alpha_1-alpha_2)*k_inv) S2 = x1*k*(alpha - alpha_1 + (0.5 - k) *S2_sub) return S1 + S2 def SA_tank(D, L, sideA=None, sideB=None, sideA_a=0, sideB_a=0, sideA_f=None, sideA_k=None, sideB_f=None, sideB_k=None): r'''Calculates the surface are of a cylindrical tank with optional heads. In the degenerate case of being provided with only `D` and `L`, provides the surface area of a cylinder. Parameters ---------- D : float Diameter of the cylindrical section of the tank, [m] L : float Length of the main cylindrical section of the tank, [m] sideA : string, optional The left (or bottom for vertical) head of the tank's type; one of [None, 'conical', 'ellipsoidal', 'torispherical', 'guppy', 'spherical']. sideB : string, optional The right (or top for vertical) head of the tank's type; one of [None, 'conical', 'ellipsoidal', 'torispherical', 'guppy', 'spherical']. sideA_a : float, optional The distance the head as specified by sideA extends down or to the left from the main cylindrical section, [m] sideB_a : float, optional The distance the head as specified by sideB extends up or to the right from the main cylindrical section, [m] sideA_f : float, optional Dish-radius parameter for side A; fD = dish radius [1/m] sideA_k : float, optional knuckle-radius parameter for side A; kD = knuckle radius [1/m] sideB_f : float, optional Dish-radius parameter for side B; fD = dish radius [1/m] sideB_k : float, optional knuckle-radius parameter for side B; kD = knuckle radius [1/m] Returns ------- SA : float Surface area of the tank [m^2] sideA_SA : float Surface area of only `sideA` [m^2] sideB_SA : float Surface area of only `sideB` [m^2] lateral_SA : float Surface area of cylindrical section of tank [m^2] Examples -------- Cylinder, Spheroid, Long Cones, and spheres. All checked. >>> SA_tank(D=2, L=2)[0] 18.84955592153876 >>> SA_tank(D=1., L=0, sideA='ellipsoidal', sideA_a=2, sideB='ellipsoidal', ... sideB_a=2)[0] 10.124375616183062 >>> SA_tank(D=1., L=5, sideA='conical', sideA_a=2, sideB='conical', ... sideB_a=2)[0] 22.18452243965656 >>> SA_tank(D=1., L=5, sideA='spherical', sideA_a=0.5, sideB='spherical', ... sideB_a=0.5)[0] 18.84955592153876 ''' # Side A if sideA == 'conical': sideA_SA = SA_conical_head(D=D, a=sideA_a) elif sideA == 'ellipsoidal': sideA_SA = SA_ellipsoidal_head(D=D, a=sideA_a) elif sideA == 'guppy': sideA_SA = SA_guppy_head(D=D, a=sideA_a) elif sideA == 'spherical': sideA_SA = pi*(sideA_a*sideA_a + 0.25*D*D) # (SA_partial_sphere(D=D, h=sideA_a) elif sideA == 'torispherical': if sideA_f is None: raise ValueError("Missing torispherical `f` parameter for sideA") if sideA_k is None: raise ValueError("Missing torispherical `k` parameter for sideA") sideA_SA = SA_torispheroidal(D=D, f=sideA_f, k=sideA_k) else: sideA_SA = pi/4*D**2 # Circle # Side B if sideB == 'conical': sideB_SA = SA_conical_head(D=D, a=sideB_a) elif sideB == 'ellipsoidal': sideB_SA = SA_ellipsoidal_head(D=D, a=sideB_a) elif sideB == 'guppy': sideB_SA = SA_guppy_head(D=D, a=sideB_a) elif sideB == 'spherical': sideB_SA = pi*(sideB_a*sideB_a + 0.25*D*D)#SA_partial_sphere(D=D, h=sideB_a) elif sideB == 'torispherical': if sideB_f is None: raise ValueError("Missing torispherical `f` parameter for sideB") if sideB_k is None: raise ValueError("Missing torispherical `k` parameter for sideB") sideB_SA = SA_torispheroidal(D=D, f=sideB_f, k=sideB_k) else: sideB_SA = pi/4*D**2 # Circle lateral_SA = pi*D*L SA = sideA_SA + sideB_SA + lateral_SA return SA, sideA_SA, sideB_SA, lateral_SA def V_tank(D, L, horizontal=True, sideA=None, sideB=None, sideA_a=0.0, sideB_a=0.0, sideA_f=None, sideA_k=None, sideB_f=None, sideB_k=None): r'''Calculates the total volume of a vertical or horizontal tank with different head types. Parameters ---------- D : float Diameter of the cylindrical section of the tank, [m] L : float Length of the main cylindrical section of the tank, [m] horizontal : bool, optional Whether or not the tank is a horizontal or vertical tank sideA : string, optional The left (or bottom for vertical) head of the tank's type; one of [None, 'conical', 'ellipsoidal', 'torispherical', 'guppy', 'spherical']. sideB : string, optional The right (or top for vertical) head of the tank's type; one of [None, 'conical', 'ellipsoidal', 'torispherical', 'guppy', 'spherical']. sideA_a : float, optional The distance the head as specified by sideA extends down or to the left from the main cylindrical section, [m] sideB_a : float, optional The distance the head as specified by sideB extends up or to the right from the main cylindrical section, [m] sideA_f : float, optional Dimensionless dish-radius parameter for side A; also commonly given as the product of `f` and `D` (`fD`), which is called dish radius and has units of length, [-] sideA_k : float, optional Dimensionless knuckle-radius parameter for side A; also commonly given as the product of `k` and `D` (`kD`), which is called the knuckle radius and has units of length, [-] sideB_f : float, optional Dimensionless dish-radius parameter for side B; also commonly given as the product of `f` and `D` (`fD`), which is called dish radius and has units of length, [-] sideB_k : float, optional Dimensionless knuckle-radius parameter for side B; also commonly given as the product of `k` and `D` (`kD`), which is called the knuckle radius and has units of length, [-] Returns ------- V : float Total volume [m^3] sideA_V : float Volume of only `sideA` [m^3] sideB_V : float Volume of only `sideB` [m^3] lateral_V : float Volume of cylindrical section of tank [m^3] Examples -------- >>> V_tank(D=1.5, L=5., horizontal=False, sideA='conical', ... sideB='conical', sideA_a=2., sideB_a=1.) (10.602875205865551, 1.1780972450961726, 0.5890486225480863, 8.835729338221293) ''' if sideA is not None and sideA not in ('conical', 'ellipsoidal', 'torispherical', 'spherical', 'guppy'): raise ValueError('Unspoorted head type for side A') if sideB is not None and sideB not in ('conical', 'ellipsoidal', 'torispherical', 'spherical', 'guppy'): raise ValueError('Unspoorted head type for side B') R = 0.5*D V = sideA_V = sideB_V = lateral_V = 0.0 if horizontal: # Conical case if sideA == 'conical' and sideB == 'conical' and sideA_a == sideB_a: sideB_V = sideA_V = V_horiz_conical(D, L, sideA_a, D, headonly=True) else: if sideA == 'conical': sideA_V = V_horiz_conical(D, L, sideA_a, D, headonly=True) if sideB == 'conical': sideB_V = V_horiz_conical(D, L, sideB_a, D, headonly=True) # Elliosoidal case if sideA == 'ellipsoidal' and sideB == 'ellipsoidal' and sideA_a == sideB_a: sideB_V = sideA_V = V_horiz_ellipsoidal(D, L, sideA_a, D, headonly=True) else: if sideA == 'ellipsoidal': sideA_V = V_horiz_ellipsoidal(D, L, sideA_a, D, headonly=True) if sideB == 'ellipsoidal': sideB_V = V_horiz_ellipsoidal(D, L, sideB_a, D, headonly=True) # Guppy case if sideA == 'guppy' and sideB == 'guppy' and sideA_a == sideB_a: sideB_V = sideA_V = V_horiz_guppy(D, L, sideA_a, D, headonly=True) else: if sideA == 'guppy': sideA_V = V_horiz_guppy(D, L, sideA_a, D, headonly=True) if sideB == 'guppy': sideB_V = V_horiz_guppy(D, L, sideB_a, D, headonly=True) # Spherical case if sideA == 'spherical' and sideB == 'spherical' and sideA_a == sideB_a: sideB_V = sideA_V = V_horiz_spherical(D, L, sideA_a, D, headonly=True) else: if sideA == 'spherical': sideA_V = V_horiz_spherical(D, L, sideA_a, D, headonly=True) if sideB == 'spherical': sideB_V = V_horiz_spherical(D, L, sideB_a, D, headonly=True) # Torispherical case if (sideA == 'torispherical' and sideB == 'torispherical' and (sideA_f == sideB_f) and (sideA_k == sideB_k)): sideB_V = sideA_V = V_horiz_torispherical(D, L, sideA_f, sideA_k, D, headonly=True) else: if sideA == 'torispherical': sideA_V = V_horiz_torispherical(D, L, sideA_f, sideA_k, D, headonly=True) if sideB == 'torispherical': sideB_V = V_horiz_torispherical(D, L, sideB_f, sideB_k, D, headonly=True) Af = R*R*acos((R-D)/R) - (R-D)*sqrt(2.0*R*D - D*D) lateral_V = L*Af else: # Bottom head if sideA == 'conical': sideA_V = V_vertical_conical(D, sideA_a, h=sideA_a) if sideA == 'ellipsoidal': sideA_V = V_vertical_ellipsoidal(D, sideA_a, h=sideA_a) if sideA == 'spherical': sideA_V = V_vertical_spherical(D, sideA_a, h=sideA_a) if sideA == 'torispherical': sideA_V = V_vertical_torispherical(D, sideA_f, sideA_k, h=sideA_a) # Cylindrical section lateral_V = pi/4*D**2*L # All middle if sideB == 'conical': sideB_V = V_vertical_conical(D, sideB_a, h=sideB_a) if sideB == 'ellipsoidal': sideB_V = V_vertical_ellipsoidal(D, sideB_a, h=sideB_a) if sideB == 'spherical': sideB_V = V_vertical_spherical(D, sideB_a, h=sideB_a) if sideB == 'torispherical': sideB_V = V_vertical_torispherical(D, sideB_f, sideB_k, h=sideB_a) return lateral_V + sideA_V + sideB_V, sideA_V, sideB_V, lateral_V def SA_partial_cylindrical_body(L, D, h): r'''Calculates the partial area of a cylinder's body in the context of a horizontal cylindrical vessel and liquid partially filling it. This computes the wetted surface area of the bottom of the cylinder. .. math:: \text{SA} = L D \cos^{-1}\left(\frac{D - 2h}{D}\right) Parameters ---------- L : float Length of the cylinder, [m] D : float Diameter of the cylinder, [m] h : float Height measured from bottom of cylinder to liquid level, [m] Returns ------- SA_partial : float Partial (wetted) surface area, [m^2] Notes ----- This method is undefined for :math:`h > D`. and :math:`h < 0`, but those cases are handled by returning the full surface area and the zero respectively. Examples -------- >>> SA_partial_cylindrical_body(L=200.0, D=96., h=22.0) 19168.852890279868 References ---------- .. [1] Weisstein, Eric W. "Circular Segment." Text. Wolfram Research, Inc. Accessed May 10, 2020. https://mathworld.wolfram.com/CircularSegment.html. ''' if h < 0.0: return 0.0 elif h > D: h = D C = D*acos((D - h - h)/D) return C*L def A_partial_circle(D, h): r'''Calculates the partial area of a circle, in the context of the circle being an end cap to a horizontal cylindrical vessel and liquid partially filling it. This computes the wetted surface area of one of the end caps. Multiply this by two to obtain the wetted area of two end caps. .. math:: \text{SA} = R^2\cos^{-1}\frac{(R - h)}{R} - (R - h)\sqrt{(2Rh - h^2)} Parameters ---------- D : float Diameter of the circle, [m] h : float Height measured from bottom of circle to liquid level, [m] Returns ------- SA_partial : float Partial (wetted) surface area, [m^2] Notes ----- This method is undefined for :math:`h > D` and :math:`h < 0`, but those cases are handled by returning the full surface area and the zero respectively. Examples -------- >>> A_partial_circle(D=96., h=22.0) 1251.2018147383194 References ---------- .. [1] Weisstein, Eric W. "Circular Segment." Text. Wolfram Research, Inc. Accessed May 10, 2020. https://mathworld.wolfram.com/CircularSegment.html. ''' if h > D: h = D # Catch the case of a computed `h` being trivially larger than `D` due to floating point elif h < 0.0: return 0.0 R = 0.5*D SA = R*R*acos((R - h)/R) - (R - h)*sqrt(2.0*R*h - h*h) if SA < 0.0: SA = 0.0 # Catch trig errors return SA def circle_segment_area_inner(h, R, A_expect): # 2 sqrt, 1 acos, 4 division x0 = R*R x1 = -h x2 = R + x1 x3 = sqrt(h*(2.0*R + x1)) x4 = x2*x2 A_err = x0*acos(x2/R) - x2*x3 - A_expect der = R/sqrt(1.0 - x4/x0) + x3 - x4/x3 return A_err, der def circle_segment_h_from_A(A, D): r'''Calculates the height of a chord of a circle given the area of that circle segment. This is a numerical problem, solving the following equation for `h`. .. math:: \text{A} = R^2\cos^{-1}\frac{(R - h)}{R} - (R - h)\sqrt{(2Rh - h^2)} Parameters ---------- A : float Circle section area, [m^2] D : float Diameter of the circle, [m] Returns ------- h : float Height measured from bottom of circle to the end of the circle section, [m] Notes ----- Examples -------- >>> circle_segment_h_from_A(A=1251.2018147383194, D=96.) 22.0 References ---------- .. [1] Weisstein, Eric W. "Circular Segment." Text. Wolfram Research, Inc. Accessed May 10, 2020. https://mathworld.wolfram.com/CircularSegment.html. ''' if A == 0.0: return 0.0 R = 0.5*D return newton(circle_segment_area_inner, x0=0.25*R, fprime=True, high=R, low=0.0, args=(R, A), xtol=1e-12, bisection=True) def SA_partial_horiz_conical_head(D, a, h): r'''Calculates the partial area of a conical tank head in the context of a horizontal vessel and liquid partially filling it. This computes the wetted surface area of one of the conical heads only. .. math:: \text{SA} = \frac{\sqrt{(a^2 + R^2)}}{R}\left[R^2\cos^{-1}\left(\frac{ (R-h)}{R}\right) - (R-h)\sqrt{(2Rh - h^2)}\right] Parameters ---------- D : float Diameter of the main cylindrical section, [m] a : float Distance the cone head extends on one side, [m] h : float Height, as measured up to where the fluid ends, [m] Returns ------- SA_partial : float Partial (wetted) surface area of one conical tank head, [m^2] Notes ----- This method is undefined for :math:`h > D` and :math:`h < 0`, but those cases are handled by returning the full surface area and the zero respectively. Examples -------- >>> SA_partial_horiz_conical_head(D=72., a=48.0, h=24.0) 1980.0498315169873 References ---------- .. [1] Jones, D. "Calculating Tank Wetted Area." Text. Chemical Processing. April 2017. https://www.chemicalprocessing.com/assets/Uploads/calculating-tank-wetted-area.pdf ''' if h > D: h = D elif h < 0: return 0.0 R = 0.5*D R_inv = 1.0/R return sqrt(a*a + R*R)*R_inv*(R*R*acos((R-h)*R_inv) - (R-h)*sqrt(2.0*R*h - h*h)) def _SA_partial_horiz_spherical_head_to_int(x, R2, a4, c1, c2): x2 = x*x to_pow = (R2 - x2)/(c2 - a4*x2) if to_pow < 0.0: to_pow = 0.0 num = c1*sqrt(to_pow) try: return asin(num) except: # Tried to asin a number just slightly higher than 1 return 0.5*pi def SA_partial_horiz_spherical_head(D, a, h): r'''Calculates the partial area of a spherical tank head in the context of a horizontal vessel and liquid partially filling it. This computes the wetted surface area of one of the spherical heads only. .. math:: \text{SA} = \frac{a^2 + R^2}{|a|}\int_{R-h}^R \sin^{-1} \frac{2|a|\sqrt{R^2-x^2}} {\sqrt{(a^2+R^2)^2 - (2ax)^2}} dx For the special case of :math:`|a| = R` : .. math:: \text{SA} = \pi R h Parameters ---------- D : float Diameter of the main cylindrical section, [m] a : float Distance the spherical head extends on one side, [m] h : float Height, as measured up to where the fluid ends, [m] Returns ------- SA_partial : float Partial (wetted) surface area of one spherical tank head, [m^2] Notes ----- This method is undefined for :math:`h > D` and :math:`h < 0`, but those cases are handled by returning the full surface area and the zero respectively. A symbolic attempt did not suggest any analytical integrals were available. Examples -------- >>> SA_partial_horiz_spherical_head(D=72., a=48.0, h=24.0) 2027.2672 References ---------- .. [1] Jones, D. "Calculating Tank Wetted Area." Text. Chemical Processing. April 2017. https://www.chemicalprocessing.com/assets/Uploads/calculating-tank-wetted-area.pdf ''' R = 0.5*D if a == R: return pi*R*h elif h < 0.0: return 0.0 elif h > D: h = D fact = (a*a + R*R)/abs(a) R2 = R*R a2 = a + a a4 = a2*a2 c1 = 2.0*abs(a) c2 = (a*a + R2)*(a*a + R2) SA = fact*quad(_SA_partial_horiz_spherical_head_to_int, R-h, R, args=(R2, a4, c1, c2))[0] return SA def _SA_partial_horiz_ellipsoidal_head_to_int_dbl(x, y, c1, R2, R4, h): y2 = y*y x2 = x*x num = c1*(x2 + y2) - R4 den = x2 + (y2 - R2) # Brackets help numerical truncation; zero div without it try: return sqrt(num/den) except: # Equation is undefined for y == R when x is zero; avoid it return _SA_partial_horiz_ellipsoidal_head_to_int_dbl(x, y*(1.0 - 1e-12), c1, R2, R4, h) def _SA_partial_horiz_ellipsoidal_head_limits(x, c1, R2, R4, h): return [0.0, sqrt(R2 - x*x)] def _SA_partial_horiz_ellipsoidal_head_limits2(c1, R2, R4, h): R = sqrt(R2) return [R-h, R] def _SA_partial_horiz_ellipsoidal_head_to_int(y, c1, R2, R4): y2 = y*y t0 = c1*y2 x6 = c1*(y2 - R2)/(t0 - R4) ans = sqrt(R4 - t0)*float(ellipe(x6)) return ans def SA_partial_horiz_ellipsoidal_head(D, a, h): r'''Calculates the partial area of a ellipsoidal tank head in the context of a horizontal vessel and liquid partially filling it. This computes the wetted surface area of one of the ellipsoidal heads only. .. math:: \text{SA} = \frac{2}{R} \int_{R-h}^R \int_0^{\sqrt{R^2 - x^2}} \sqrt{ \frac{(R^2 - a^2)x^2 + (R^2 - a^2)y^2 - R^4} {x^2 + y^2 - R^2}} dy dx After extensive manipulation, the first integral was solved analytically, extending the result of [1]_ with greater performance. .. math:: \text{SA} = \frac{2}{R} \int_{R-h}^R \frac{\left(\frac{R^{4} - R^{2} \left(R^{2} - a^{2}\right)}{R^{2} - y^{2}}\right)^{0.5} \left(R^{2} - y^{2}\right)^{0.5} E{\left(\frac{\left(- R^{2} + y^{2}\right) \left(R^{2} - a^{2}\right)}{- R^{4} + y^{2} \left(R^{2} - a^{2}\right)} \right)}} {\left(\frac{R^{4} - R^{2} \left(R^{2} - a^{2}\right)}{R^{4} - y^{2} \left(R^{2} - a^{2}\right)}\right)^{0.5}} Where :math:`E(x)` is the complete elliptic integral of the second kind, calculated with SciPy's link to the cephes library. Parameters ---------- D : float Diameter of the main cylindrical section, [m] a : float Distance the ellipsoidal head extends on one side, [m] h : float Height, as measured up to where the fluid ends, [m] Returns ------- SA_partial : float Partial (wetted) surface area of one ellipsoidal tank head, [m^2] Notes ----- This method is undefined for :math:`h > D` and :math:`h < 0`, but those cases are handled by returning the full surface area and the zero respectively. The original numerical double integral is extremely nasty - there are places where f(x) -> infinity but that have a bounded area. quadpack's numerical integration handles this well, but adaptive inetgration which is not aware of singularities does not. Examples -------- >>> SA_partial_horiz_ellipsoidal_head(D=72., a=48.0, h=24.0) 3401.233622547 References ---------- .. [1] Jones, D. "Calculating Tank Wetted Area." Text. Chemical Processing. April 2017. https://www.chemicalprocessing.com/assets/Uploads/calculating-tank-wetted-area.pdf ''' R = 0.5*D if h < 0.0: return 0.0 elif h > D: h = D R2 = R*R R4 = R2*R2 a2 = a*a c1 = R2 - a2 # from fluids.numerics import dblquad # from scipy.integrate import dblquad, nquad ## quad_val = nquad(_SA_partial_horiz_ellipsoidal_head_to_int, ranges=[_SA_partial_horiz_ellipsoidal_head_limits, _SA_partial_horiz_ellipsoidal_head_limits2], ## args=(c1, R2, R4, h))[0] # quad_val = dblquad(_SA_partial_horiz_ellipsoidal_head_to_int, R-h, R, lambda x: 0.0, lambda x: (R2 - x*x)**0.5, # args=(c1, R2, R4, h))[0] quad_val = quad(_SA_partial_horiz_ellipsoidal_head_to_int, R-h, R, args=(c1, R2, R4))[0] SA = 2.0/R*quad_val return SA def _SA_partial_horiz_guppy_head_to_int(x, a, R): x0 = a*a x1 = R - x x2 = x1*x1 x3 = 1.0/x2 x4 = x0*x3 + 1.0 x5 = R*R x6 = x*x x7 = x5 - x6 x8 = sqrt(x7) x9 = x4*x8 x10 = x0 + 4.0*x5 x17 = sqrt(sqrt(x10)) x11 = x17*x17 x12 = 1.0/x11 x13 = a*x7 x14 = x12*x13*x3 + 1.0 x15 = a*x12 x16 = sqrt(a) x18 = 2*atan(x16*x8/(x1*x17)) x19 = 0.5 - 0.5*x15 x100 = (-2.0*R*x*x11 + x11*x5 + x11*x6 + x13) x20 = x1*x14*sqrt(x2*x5*(x0 + x2)/(x100*x100))/x5 return 0.08333333333333333*( (-4.0*x10**0.75*x16*x20*ellipeinc(x18, x19) + 4.0*x9 + 2.0*x17*x20*(a*x11 + x10)*ellipkinc(x18, x19)/x16 + 8.0*x15*x9/x14)*1.0/sqrt(x4)) def SA_partial_horiz_guppy_head(D, a, h): r'''Calculates the partial area of a guppy tank head in the context of a horizontal vessel and liquid partially filling it. This computes the wetted surface area of one of the guppy heads only. .. math:: \text{SA} = 2\int_{-R}^{h-R}\int_{0}^{\sqrt{R^2 - x^2}} \sqrt{1 + \left(\frac{a}{2R}\left(1 - \frac{y^2}{(R-x)^2} \right) \right)^2 + \left(\frac{ay}{R(R-x)} \right)^2 } dy dx After extensive manipulation, the first integral was solved analytically, extending the result of [1]_. Even with the special functions, this form has somewhat greater performance (and improved precision). .. math:: \text{SA} = 2 \int_{-R}^{h-R} \frac{\frac{2 a \left(4 + \frac{a^{2} \left(2 R^{2} - 2 R y\right)^{2}}{R^{2} \left(R - y\right)^{4}}\right) \sqrt{R^{2} - y^{2}}}{\sqrt{4 R^{2} + a^{2}} \left(\frac{a \left(R^{2} - y^{2}\right)}{\left(R - y\right)^{2} \sqrt{4 R^{2} + a^{2}}} + 1\right)} + \left(4 + \frac{a^{2} \left(2 R^{2} - 2 R y\right) ^{2}}{R^{2} \left(R - y\right)^{4}}\right) \sqrt{R^{2} - y^{2}} - \frac{2 \sqrt{a} \sqrt{\frac{4 R^{2} \left(R - y\right)^{4} + a^{2} \left(2 R^{2} - 2 R y\right)^{2}}{\left(R^{2} \sqrt{4 R^{2} + a^{2}} - 2 R y \sqrt{4 R^{2} + a^{2}} + a \left(R^{2} - y^{2}\right) + y^{2} \sqrt{4 R^{2} + a^{2}}\right)^{2}}} \left(R - y\right) \left(4 R^{2} + a^{2}\right)^{0.75} \left(\frac{a \left(R^{2} - y^{2}\right)}{\left(R - y\right)^{2} \sqrt{4 R^{2} + a^{2}}} + 1\right) \operatorname{ellipeinc}{\left(2 \operatorname{atan}{\left(\frac{\sqrt{a} \sqrt{R^{2} - y^{2}}} {\left(R - y\right) \left(4 R^{2} + a^{2}\right)^{0.25}} \right)}, - \frac{a}{2 \sqrt{4 R^{2} + a^{2}}} + 0.5 \right)}}{R^{2}} + \frac{1.0 \sqrt{\frac{4 R^{2} \left(R - y\right)^{4} + a^{2} \left(2 R^{2} - 2 R y\right)^{2}}{\left(R^{2} \sqrt{4 R^{2} + a^{2}} - 2 R y \sqrt{4 R^{2} + a^{2}} + a \left(R^{2} - y^{2}\right) + y^{2} \sqrt{4 R^{2} + a^{2}}\right)^{2}}} \left(R - y\right) \left(4 R^{2} + a^{2}\right)^{0.25} \left(\frac{a \left(R^{2} - y^{2}\right)}{\left(R - y\right)^{2} \sqrt{4 R^{2} + a^{2}}} + 1\right) \left(4 R^{2} + a^{2} + a \sqrt{4 R^{2} + a^{2}}\right) \operatorname{ellipkinc}{\left(2 \operatorname{atan}{\left(\frac{\sqrt{a} \sqrt{R^{2} - y^{2}}}{\left(R - y\right) \left(4 R^{2} + a^{2}\right)^{0.25}} \right)},- \frac{a}{2 \sqrt{4 R^{2} + a^{2}}} + 0.5 \right)}}{R^{2} \sqrt{a}}}{6 \sqrt{4 + \frac{a^{2} \left(2 R^{2} - 2 R y\right)^{2}}{R^{2} \left(R - y\right)^{4}}}} Where ellipeinc is the incomplete elliptic integral of the second kind, and ellipkinc is the incomplete elliptic integral of the first kind, both calculated with SciPy's link to the cephes library. Parameters ---------- D : float Diameter of the main cylindrical section, [m] a : float Distance the guppy head extends on one side, [m] h : float Height, as measured up to where the fluid ends, [m] Returns ------- SA_partial : float Partial (wetted) surface area of one guppy tank head, [m^2] Notes ----- This method is undefined for :math:`h > D` and :math:`h < 0`, but those cases are handled by returning the full surface area and the zero respectively. The analytical integral was derived with Rubi. Examples -------- >>> SA_partial_horiz_guppy_head(D=72., a=48.0, h=24.0) 1467.8949 References ---------- .. [1] Jones, D. "Calculating Tank Wetted Area." Text. Chemical Processing. April 2017. https://www.chemicalprocessing.com/assets/Uploads/calculating-tank-wetted-area.pdf ''' R = 0.5*D if a == R: return pi*R*h elif h < 0.0: return 0.0 elif h > D: h = D if -R == h-R: return 0.0 # c1 = a/(2.0*R) # c2 = c1*c1 # a_R_ratio = a/R # a_R_ratio2 = a_R_ratio*a_R_ratio # from scipy.integrate import dblquad # def to_quad(y, x): # t1 = y/(R-x) # t1 *= t1 # t2 = (1.0 - t1) # return (1.0 + c2*t2*t2 + a_R_ratio2*t1)**0.5 # quad_val = dblquad(to_quad, -R, h-R, lambda x: 0.0, lambda x: (R*R - x*x)**0.5)[0] quad_val = quad(_SA_partial_horiz_guppy_head_to_int, -R, h-R, args=(a, R))[0] SA = 2.0*quad_val return SA def _SA_partial_horiz_torispherical_head_int_1(x, b, c): x0 = x*x x1 = b - x0 x2 = sqrt(x1) x3 = -b + x0 x4 = c*c try: x5 = 1.0/sqrt(x1 - x4) except: x5 = 1.0/csqrt(x1 - x4) x6 = x3 + x4 x7 = sqrt(b) try: x3_pow = x3**(-1.5) except: x3_pow = (x3+0j)**(-1.5) ans = (x*cacos(c/x2) + x3_pow*x5*(-c*x1*csqrt(-x6*x6)*catan(x*x2/(csqrt(x3)*csqrt(x6))) + x6*x7*csqrt(-x1*x1)*catan(c*x*x5/x7))/csqrt(-x6/x1)) return abs(ans.real) def _SA_partial_horiz_torispherical_head_int_2(y, t2, s, c1): # from mpmath import mp, mpf, atanh as catanh # mp.dps=30 # y, t2, s, c1 = mpf(y), mpf(t2), mpf(s), mpf(c1) y2 = y*y try: x10 = sqrt(t2 - y2) try: # Some tiny heights make the square root slightly under 0 x = (sqrt(c1 - y2 + (s+s)*x10)).real except: # Python 2 compat - don't take the square root of a negative number with no complex part x = (csqrt(c1 - y2 + (s+s)*x10 + 0.0j)).real except: x10 = csqrt(t2 - y2+0.0j) x = (csqrt(c1 - y2 + (s+s)*x10 + 0.0j)).real try: x0 = t2 - y2 x1 = s*x10.real t10 = x1 + x1 + s*s + x0 # x3, x4 present a very nasty numerical problem. # issue occurs when h == R, x3 is really equal to R**2 - 2*R*h + h**2 x3 = t10 - x*x x4 = sqrt(x3) # One solution is to use higher precision everywhere ans = x4*sqrt(t2*t10/(x0*x3))*catan(x/x4).real except: ans = 0.0 # ans = sqrt((t2* (s**2+t2-x**2+2.0*s* sqrt(t2-x**2)))/((t2-x**2)* (s**2+t2-x**2+2 *s* sqrt(t2-x**2)-y**2)))* sqrt(s**2+t2-x**2+2 *s* sqrt(t2-x**2)-y**2) *atan(y/sqrt(s**2+t2-x**2+2 *s* sqrt(t2-x**2)-y**2)) # print(float(y), float(t2), float(s), float(c1), float(ans.real)) # return float(ans.real) return ans.real def _SA_partial_horiz_torispherical_head_int_3(y, x, s, t2): x2 = x*x y2 = y*y x10 = sqrt(t2 - x2) num = (s + x10)*(s + x10)*x2 + (t2 - x2)*y2 den = (t2 - x2)*(s*s + t2 - x2 - y2 + 2.0*s*x10) f = sqrt(1.0 + num/den) return f def SA_partial_horiz_torispherical_head(D, f, k, h): r'''Calculates the partial area of a torispherical tank head in the context of a horizontal vessel and liquid partially filling it. This computes the wetted surface area of one of the torispherical heads only. The expressions used are quite complicated; see [1]_ for more details. Parameters ---------- D : float Diameter of the main cylindrical section, [m] f : float Dimensionless dish-radius parameter; also commonly given as the product of `f` and `D` (`fD`), which is called dish radius and has units of length, [-] k : float Dimensionless knuckle-radius parameter; also commonly given as the product of `k` and `D` (`kD`), which is called the knuckle radius and has units of length, [-] h : float Height, as measured up to where the fluid ends, [m] Returns ------- SA_partial : float Partial (wetted) surface area of one torispherical tank head, [m^2] Notes ----- This method is undefined for :math:`h > D` and :math:`h < 0`, but those cases are handled by returning the full surface area and the zero respectively. One integral: .. math:: \int_{R-h}^{fD\sin \alpha} \cos^{-1} \frac{fD\cos \alpha}{\sqrt{f^2 D^2 - x^2}} dx Can be computed as follows, using WolframAlpha. .. math:: x \operatorname{acos}{\left(\frac{c}{\sqrt{b - x^{2}}} \right)} + \frac{\sqrt{b} \sqrt{- \left(b - x^{2}\right)^{2}} \left(- b + c^{2} + x^{2}\right) \operatorname{atan}{\left(\frac{c x}{\sqrt{b} \sqrt{b - c^{2} - x^{2}}} \right)} + c \sqrt{- \left(- b + c^{2} + x^{2}\right)^{2}} \left(- b + x^{2}\right) \operatorname{atan}{\left(\frac{x \sqrt{b - x^{2}}} {\sqrt{- b + x^{2}} \sqrt{- b + c^{2} + x^{2}}} \right)}}{\sqrt{ \frac{- b + c^{2} + x^{2}}{- b + x^{2}}} \left(- b + x^{2}\right)^{1.5} \sqrt{b - c^{2} - x^{2}}} With the following constants: .. math:: c = fD\cos \alpha .. math:: b = f^2 D^2 The other integral is a double integral. There is an analytical integral available for the first integral, which takes the form: .. math:: 2 \sqrt{\frac{R^{2} k^{2} \left(4 R^{2} k^{2} - y^{2} + \left(- 2 R k + R\right)^{2} + 2 \left(- 2 R k + R\right) \sqrt{4 R^{2} k^{2} - y^{2}} \right)}{\left(4 R^{2} k^{2} - y^{2}\right) \left(\left(R - h\right)^{2} - \left(- 4 R k + 2 R\right) \sqrt{4 R^{2} k^{2} - y^{2}} + 2 \left(- 2 R k + R\right) \sqrt{4 R^{2} k^{2} - y^{2}} \right)}} \sqrt{\left(R - h\right)^{2} - \left(- 4 R k + 2 R\right) \sqrt{4 R^{2} k^{2} - y^{2}} + 2 \left(- 2 R k + R\right) \sqrt{4 R^{2} k^{2} - y^{2}}} \operatorname{atan}{\left(\frac{ \sqrt{4 R^{2} k^{2} - y^{2} - \left(R - h\right)^{2} + \left(- 4 R k + 2 R\right) \sqrt{4 R^{2} k^{2} - y^{2}} + \left(- 2 R k + R\right) ^{2}}}{\sqrt{\left(R - h\right)^{2} - \left(- 4 R k + 2 R\right) \sqrt{4 R^{2} k^{2} - y^{2}} + 2 \left(- 2 R k + R\right) \sqrt{4 R^{2} k^{2} - y^{2}}}} \right)} Examples -------- >>> SA_partial_horiz_torispherical_head(D=72., f=1, k=.06, h=24.0) 1471.201832459 References ---------- .. [1] Jones, D. "Calculating Tank Wetted Area." Text. Chemical Processing. April 2017. https://www.chemicalprocessing.com/assets/Uploads/calculating-tank-wetted-area.pdf ''' if h <= 0.0: return 0.0 elif h > D: h = D R = D/2. r = f*D alpha = asin((1.0 - 2.0*k)/(2.*(f-k))) cos_alpha = cos(alpha) sin_alpha = sin(alpha) s = R - k*D t = k*D s2 = s*s t2 = t*t a1 = r*(1.0 - cos_alpha) a2 = k*D*cos_alpha c = f*D*cos_alpha b = f*f*D*D c1 = s2 + t2 - (R - h)**2 def G_lim(x): # numba: delete x2 = x*x # numba: delete try: # numba: delete G = sqrt(c1 - x2 + (s+s)*sqrt(t2 - x2)) # numba: delete except: # numba: delete # Python 2 compat - don't take the square root of a negative number with no complex part # numba: delete G = sqrt(c1 - x2 + (s+s)*sqrt(t2 - x2+0.0j) + 0.0j) # numba: delete return G.real # Some tiny heights make the square root slightly under 0 # numba: delete limit_1 = k*D*(1.0 - sin_alpha) if h < limit_1: SA = quad(_SA_partial_horiz_torispherical_head_int_2, 0.0, sqrt(2*k*D*h - h*h), args=(t2, s, c1))[0] return 2.0*SA elif limit_1 < h <= R: if (D*.499 < h < D*.501): # numba: delete from scipy.integrate import dblquad # numba: delete SA = 2.0*dblquad(_SA_partial_horiz_torispherical_head_int_3, 0.0, a2, lambda x: 0, G_lim, args=(s, t2))[0] # numba: delete else: # numba: delete # Numerical issues SA = 2.0*quad(_SA_partial_horiz_torispherical_head_int_2, 0.0, a2, args=(t2, s, c1))[0] # numba: delete # SA = 2.0*quad(_SA_partial_horiz_torispherical_head_int_2, 0.0, a2, args=(t2, s, c1))[0] # numba: uncomment try: high = _SA_partial_horiz_torispherical_head_int_1(f*D*sin_alpha, b, c) except: # Expression with the substitution is equally complicated high = _SA_partial_horiz_torispherical_head_int_1(f*D*sin_alpha*(1.0 + 1e-14), b, c) int_1_term1 = high - _SA_partial_horiz_torispherical_head_int_1(R-h, b, c) SA += 2.0*f*D*int_1_term1 else: SA = 2.0*pi*f*D*a1 + 2*pi*k*D*(a2 + (R - k*D)*asin(a2/(k*D))) SA -= SA_partial_horiz_torispherical_head(D, f, k, h=D-h) return SA def SA_partial_vertical_conical_head(D, a, h): r'''Calculates the partial area of a conical tank head in the context of a vertical vessel and liquid partially filling it. This computes the wetted surface area of one of the conical heads only, and is valid for `h` up to `a` only. .. math:: \text{SA} = \frac{\pi R h^2 \sqrt{a^2 + R^2}}{a^2} Parameters ---------- D : float Diameter of the main cylindrical section, [m] a : float Distance the cone head extends beneath the vertical tank, [m] h : float Height, as measured up to where the fluid ends or the top of the conical head, whichever is less, [m] Returns ------- SA_partial : float Partial (wetted) surface area of one conical tank head extending beneath the vessel, [m^2] Notes ----- This method is undefined for :math:`h < 0`, but this is handled by returning zero. Examples -------- >>> SA_partial_vertical_conical_head(D=72., a=48.0, h=24.0) 1696.4600329384882 References ---------- .. [1] Jones, D. "Calculating Tank Wetted Area." Text. Chemical Processing. April 2017. https://www.chemicalprocessing.com/assets/Uploads/calculating-tank-wetted-area.pdf ''' if a == 0.0: return 0.25*pi*D*D elif h <= 0.0: return 0.0 R = 0.5*D SA = pi*R*h*h*sqrt(a*a + R*R)/(a*a) return SA def SA_partial_vertical_ellipsoidal_head(D, a, h): r'''Calculates the partial area of a ellipsoidal tank head in the context of a vertical vessel and liquid partially filling it. This computes the wetted surface area of one of the ellipsoidal heads only, and is valid for `h` up to `a` only. If :math:`a > R`: .. math:: \text{SA} = \pi R^2 - \frac{\pi (a - h)R\sqrt{a^4 - (a-h)^2(a^2-R^2)}}{a^2} + \frac{\pi a^2 R}{\sqrt{a^2 - R^2}}\left( \cos^{-1} \frac{R}{a} - \sin^{-1} \frac{(a-h)\sqrt{a^2-R^2}}{a^2} \right) Otherwise for :math:`0 < a < R`: .. math:: \text{SA} = \pi R^2 - \frac{\pi (a - h)R\sqrt{a^4 - (a-h)^2(a^2-R^2)}}{a^2} + \frac{\pi a^2 R}{\sqrt{a^2 - R^2}}\ln \left(\frac{a(\sqrt{R^2 - a^2} + R)} {(a-h)\sqrt{R^2 - a^2} + \sqrt{a^4 + (a-h)^2(R^2 - a^2)}} \right) Parameters ---------- D : float Diameter of the main cylindrical section, [m] a : float Distance the ellipsoidal head extends beneath the vertical tank, [m] h : float Height, as measured up to where the fluid ends or the top of the ellipsoidal head, whichever is less, [m] Returns ------- SA_partial : float Partial (wetted) surface area of one ellipsoidal tank head extending beneath the vessel, [m^2] Notes ----- This method is undefined for :math:`h < 0`, but this is handled by returning zero. Examples -------- >>> SA_partial_vertical_ellipsoidal_head(D=72., a=48.0, h=24.0) 4675.23789137632 References ---------- .. [1] Jones, D. "Calculating Tank Wetted Area." Text. Chemical Processing. April 2017. https://www.chemicalprocessing.com/assets/Uploads/calculating-tank-wetted-area.pdf ''' if a == 0.0: return 0.25*pi*D*D elif h <= 0.0: return 0.0 # h should be less than a R = 0.5*D SA = pi*R*R a2 = a*a a_inv = 1.0/a R2 = R*R SA -= pi*(a - h)*R*sqrt(a2*a2 - (a-h)*(a-h)*(a2 - R2))*a_inv*a_inv if a > R: # This one has issues around a == R SA += pi*a2*R/sqrt(a2 - R2)*(acos(R*a_inv) - asin((a-h)*sqrt(a2 - R2)*a_inv*a_inv)) elif a == R: # Special case avoids zero division return pi*D*h else: x1 = sqrt(R2 - a2) num = a*(x1 + R) den = (a-h)*x1 + sqrt(a2*a2 + (a-h)*(a-h)*(R2 - a2)) SA += pi*a2*R/x1*log(num/den) return SA def SA_partial_vertical_spherical_head(D, a, h): r'''Calculates the partial area of a spherical tank head in the context of a vertical vessel and liquid partially filling it. This computes the wetted surface area of one of the conical heads only, and is valid for `h` up to `a` only. .. math:: \text{SA} = \pi h \left(\frac{a^2 + R^2}{a}\right) Parameters ---------- D : float Diameter of the main cylindrical section, [m] a : float Distance the spherical head extends beneath the vertical tank, [m] h : float Height, as measured up to where the fluid ends or the top of the spherical head, whichever is less, [m] Returns ------- SA_partial : float Partial (wetted) surface area of one spherical tank head extending beneath the vessel, [m^2] Notes ----- This method is undefined for :math:`h < 0`, but this is handled by returning zero. Examples -------- >>> SA_partial_vertical_spherical_head(72, a=24, h=12) 2940.5307237600464 References ---------- .. [1] Jones, D. "Calculating Tank Wetted Area." Text. Chemical Processing. April 2017. https://www.chemicalprocessing.com/assets/Uploads/calculating-tank-wetted-area.pdf ''' if a == 0.0: return 0.25*pi*D*D elif h <= 0.0: return 0.0 R = 0.5*D SA = pi*h*((a*a + R*R)/a) return SA def SA_partial_vertical_torispherical_head(D, f, k, h): r'''Calculates the partial area of a torispherical tank head in the context of a vertical vessel and liquid partially filling it. This computes the wetted surface area of one of the torispherical heads only. if :math:`a_1 <= h`: .. math:: \text{SA} = 2\pi f D h if :math:`a_1 \le h \le a`: .. math:: \text{SA} = 2\pi f D a_1 + 2\pi k D\left( h - a_1 + (R - kD) \left( \sin^{-1} \frac{a_2}{kD} - \sin^{-1} \frac{a-h}{kD} \right) \right) .. math:: \alpha = \sin^{-1}\frac{1-2k}{2(f-k)} .. math:: a_1 = fD(1-\cos\alpha) .. math:: a_2 = kD\cos\alpha Parameters ---------- D : float Diameter of the main cylindrical section, [m] f : float Dimensionless dish-radius parameter; also commonly given as the product of `f` and `D` (`fD`), which is called dish radius and has units of length, [-] k : float Dimensionless knuckle-radius parameter; also commonly given as the product of `k` and `D` (`kD`), which is called the knuckle radius and has units of length, [-] h : float Height, as measured up to where the fluid ends or the top of the torispherical head, whichever is less, [m] Returns ------- SA_partial : float Partial (wetted) surface area of one torispherical tank head, [m^2] Notes ----- This method is undefined for :math:`h > D` and :math:`h < 0`, but those cases are handled by returning the full surface area and the zero respectively. Examples -------- This method is undefined for :math:`h < 0`, but this is handled by returning zero. References ---------- .. [1] Jones, D. "Calculating Tank Wetted Area." Text. Chemical Processing. April 2017. https://www.chemicalprocessing.com/assets/Uploads/calculating-tank-wetted-area.pdf ''' if h <= 0.0: return 0.0 R = 0.5*D alpha = asin((1.0 - 2.0*k)/(2.0*(f-k))) cos_alpha = cos(alpha) a1 = f*D*(1.0 - cos_alpha) a2 = k*D*cos_alpha a = a1 + a2 if h < a1: SA = 2.0*pi*f*D*h elif a1 <= h <= a: SA = 2.0*pi*f*D*a1 kD_inv = 1.0/(k*D) SA += 2.0*pi*k*D*(h - a1 + (R - k*D)*(asin(a2*kD_inv) - asin((a-h)*kD_inv))) return SA def a_torispherical(D, f, k): r'''Calculates depth of a torispherical head according to [1]_. .. math:: a = a_1 + a_2 .. math:: \alpha = \sin^{-1}\frac{1-2k}{2(f-k)} .. math:: a_1 = fD(1-\cos\alpha) .. math:: a_2 = kD\cos\alpha Parameters ---------- D : float Diameter of the main cylindrical section, [m] f : float Dimensionless dish-radius parameter; also commonly given as the product of `f` and `D` (`fD`), which is called dish radius and has units of length, [-] k : float Dimensionless knuckle-radius parameter; also commonly given as the product of `k` and `D` (`kD`), which is called the knuckle radius and has units of length, [-] Returns ------- a : float Depth of head [m] Examples -------- Example from [1]_. >>> a_torispherical(D=96., f=0.9, k=0.2) 25.684268924767125 References ---------- .. [1] Jones, D. "Calculating Tank Volume." Text. Accessed December 22, 2015. http://www.webcalc.com.br/blog/Tank_Volume.PDF''' alpha = asin((1-2*k)/(2*(f-k))) a1 = f*D*(1 - cos(alpha)) a2 = k*D*cos(alpha) return a1 + a2 def V_from_h(h, D, L, horizontal=True, sideA=None, sideB=None, sideA_a=0, sideB_a=0, sideA_f=None, sideA_k=None, sideB_f=None, sideB_k=None): r'''Calculates partially full volume of a vertical or horizontal tank with different head types according to [1]_. Parameters ---------- h : float Height of the liquid in the tank, [m] D : float Diameter of the cylindrical section of the tank, [m] L : float Length of the main cylindrical section of the tank, [m] horizontal : bool, optional Whether or not the tank is a horizontal or vertical tank sideA : string, optional The left (or bottom for vertical) head of the tank's type; one of [None, 'conical', 'ellipsoidal', 'torispherical', 'guppy', 'spherical']. sideB : string, optional The right (or top for vertical) head of the tank's type; one of [None, 'conical', 'ellipsoidal', 'torispherical', 'guppy', 'spherical']. sideA_a : float, optional The distance the head as specified by sideA extends down or to the left from the main cylindrical section, [m] sideB_a : float, optional The distance the head as specified by sideB extends up or to the right from the main cylindrical section, [m] sideA_f : float, optional Dimensionless dish-radius parameter for side A; also commonly given as the product of `f` and `D` (`fD`), which is called dish radius and has units of length, [-] sideA_k : float, optional Dimensionless knuckle-radius parameter for side A; also commonly given as the product of `k` and `D` (`kD`), which is called the knuckle radius and has units of length, [-] sideB_f : float, optional Dimensionless dish-radius parameter for side B; also commonly given as the product of `f` and `D` (`fD`), which is called dish radius and has units of length, [-] sideB_k : float, optional Dimensionless knuckle-radius parameter for side B; also commonly given as the product of `k` and `D` (`kD`), which is called the knuckle radius and has units of length, [-] Returns ------- V : float Volume up to h [m^3] Examples -------- >>> V_from_h(h=7, D=1.5, L=5., horizontal=False, sideA='conical', ... sideB='conical', sideA_a=2., sideB_a=1.) 10.013826583317465 References ---------- .. [1] Jones, D. "Compute Fluid Volumes in Vertical Tanks." Chemical Processing. December 18, 2003. http://www.chemicalprocessing.com/articles/2003/193/ ''' if sideA is not None and sideA not in ('conical', 'ellipsoidal', 'torispherical', 'spherical', 'guppy'): raise ValueError('Unspoorted head type for side A') if sideB is not None and sideB not in ('conical', 'ellipsoidal', 'torispherical', 'spherical', 'guppy'): raise ValueError('Unspoorted head type for side B') R = 0.5*D V = 0.0 if horizontal: # Conical case if sideA == 'conical' and sideB == 'conical' and sideA_a == sideB_a: V += 2.0*V_horiz_conical(D, L, sideA_a, h, headonly=True) else: if sideA == 'conical': V += V_horiz_conical(D, L, sideA_a, h, headonly=True) if sideB == 'conical': V += V_horiz_conical(D, L, sideB_a, h, headonly=True) # Elliosoidal case if sideA == 'ellipsoidal' and sideB == 'ellipsoidal' and sideA_a == sideB_a: V += 2.0*V_horiz_ellipsoidal(D, L, sideA_a, h, headonly=True) else: if sideA == 'ellipsoidal': V += V_horiz_ellipsoidal(D, L, sideA_a, h, headonly=True) if sideB == 'ellipsoidal': V += V_horiz_ellipsoidal(D, L, sideB_a, h, headonly=True) # Guppy case if sideA == 'guppy' and sideB == 'guppy' and sideA_a == sideB_a: V += 2.0*V_horiz_guppy(D, L, sideA_a, h, headonly=True) else: if sideA == 'guppy': V += V_horiz_guppy(D, L, sideA_a, h, headonly=True) if sideB == 'guppy': V += V_horiz_guppy(D, L, sideB_a, h, headonly=True) # Spherical case if sideA == 'spherical' and sideB == 'spherical' and sideA_a == sideB_a: V += 2.0*V_horiz_spherical(D, L, sideA_a, h, headonly=True) else: if sideA == 'spherical': V += V_horiz_spherical(D, L, sideA_a, h, headonly=True) if sideB == 'spherical': V += V_horiz_spherical(D, L, sideB_a, h, headonly=True) # Torispherical case if (sideA == 'torispherical' and sideB == 'torispherical' and (sideA_f == sideB_f) and (sideA_k == sideB_k)): V += 2.0*V_horiz_torispherical(D, L, sideA_f, sideA_k, h, headonly=True) else: if sideA == 'torispherical': V += V_horiz_torispherical(D, L, sideA_f, sideA_k, h, headonly=True) if sideB == 'torispherical': V += V_horiz_torispherical(D, L, sideB_f, sideB_k, h, headonly=True) if h > D: # Must be before Af, which will raise a domain error raise ValueError('Input height is above top of tank') Af = R*R*acos((R-h)/R) - (R-h)*sqrt(2.0*R*h - h*h) V += L*Af else: # Bottom head if sideA in ('conical', 'ellipsoidal', 'torispherical', 'spherical'): if sideA == 'conical': V += V_vertical_conical(D, sideA_a, h=min(sideA_a, h)) if sideA == 'ellipsoidal': V += V_vertical_ellipsoidal(D, sideA_a, h=min(sideA_a, h)) if sideA == 'spherical': V += V_vertical_spherical(D, sideA_a, h=min(sideA_a, h)) if sideA == 'torispherical': V += V_vertical_torispherical(D, sideA_f, sideA_k, h=min(sideA_a, h)) # Cylindrical section if h >= sideA_a + L: V += pi/4*D**2*L # All middle elif h > sideA_a: V += pi/4*D**2*(h - sideA_a) # Partial middle # Top head if h > sideA_a + L: h2 = sideB_a - (h - sideA_a - L) if sideB == 'conical': V += V_vertical_conical(D, sideB_a, h=sideB_a) V -= V_vertical_conical(D, sideB_a, h=h2) if sideB == 'ellipsoidal': V += V_vertical_ellipsoidal(D, sideB_a, h=sideB_a) V -= V_vertical_ellipsoidal(D, sideB_a, h=h2) if sideB == 'spherical': V += V_vertical_spherical(D, sideB_a, h=sideB_a) V -= V_vertical_spherical(D, sideB_a, h=h2) if sideB == 'torispherical': V += V_vertical_torispherical(D, sideB_f, sideB_k, h=sideB_a) V -= max(0.0, V_vertical_torispherical(D, sideB_f, sideB_k, h=h2)) if h > L + sideA_a + sideB_a: raise ValueError('Input height is above top of tank') return V def SA_from_h(h, D, L, horizontal=True, sideA=None, sideB=None, sideA_a=0.0, sideB_a=0.0, sideA_f=None, sideA_k=None, sideB_f=None, sideB_k=None): r'''Calculates partially full wetted surface area of a vertical or horizontal tank with different head types according to [1]_. Parameters ---------- h : float Height of the liquid in the tank, [m] D : float Diameter of the cylindrical section of the tank, [m] L : float Length of the main cylindrical section of the tank, [m] horizontal : bool, optional Whether or not the tank is a horizontal or vertical tank sideA : string, optional The left (or bottom for vertical) head of the tank's type; one of [None, 'conical', 'ellipsoidal', 'torispherical', 'guppy', 'spherical']. sideB : string, optional The right (or top for vertical) head of the tank's type; one of [None, 'conical', 'ellipsoidal', 'torispherical', 'guppy', 'spherical']. sideA_a : float, optional The distance the head as specified by sideA extends down or to the left from the main cylindrical section, [m] sideB_a : float, optional The distance the head as specified by sideB extends up or to the right from the main cylindrical section, [m] sideA_f : float, optional Dimensionless dish-radius parameter for side A; also commonly given as the product of `f` and `D` (`fD`), which is called dish radius and has units of length, [-] sideA_k : float, optional Dimensionless knuckle-radius parameter for side A; also commonly given as the product of `k` and `D` (`kD`), which is called the knuckle radius and has units of length, [-] sideB_f : float, optional Dimensionless dish-radius parameter for side B; also commonly given as the product of `f` and `D` (`fD`), which is called dish radius and has units of length, [-] sideB_k : float, optional Dimensionless knuckle-radius parameter for side B; also commonly given as the product of `k` and `D` (`kD`), which is called the knuckle radius and has units of length, [-] Returns ------- SA : float Wetted wall surface area up to h [m^3] Examples -------- >>> SA_from_h(h=7, D=1.5, L=5., horizontal=False, sideA='conical', ... sideB='conical', sideA_a=2., sideB_a=1.) 28.59477853914843 References ---------- .. [1] Jones, D. "Calculating Tank Wetted Area." Text. Chemical Processing. April 2017. https://www.chemicalprocessing.com/assets/Uploads/calculating-tank-wetted-area.pdf http://www.chemicalprocessing.com/articles/2003/193/ ''' if sideA is not None and sideA not in ('conical', 'ellipsoidal', 'torispherical', 'spherical', 'guppy'): raise ValueError('Unspoorted head type for side A') if sideB is not None and sideB not in ('conical', 'ellipsoidal', 'torispherical', 'spherical', 'guppy'): raise ValueError('Unspoorted head type for side B') R = 0.5*D SA = 0.0 if horizontal: # Conical case if sideA == 'conical': SA += SA_partial_horiz_conical_head(D, sideA_a, h) if sideB == 'conical': SA += SA_partial_horiz_conical_head(D, sideB_a, h) # Elliosoidal case if sideA == 'ellipsoidal': SA += SA_partial_horiz_ellipsoidal_head(D, sideA_a, h) if sideB == 'ellipsoidal': SA += SA_partial_horiz_ellipsoidal_head(D, sideB_a, h) # Guppy case if sideA == 'guppy': SA += SA_partial_horiz_guppy_head(D, sideA_a, h) if sideB == 'guppy': SA += SA_partial_horiz_guppy_head(D, sideB_a, h) # Spherical case if sideA == 'spherical': SA += SA_partial_horiz_spherical_head(D, sideA_a, h) if sideB == 'spherical': SA += SA_partial_horiz_spherical_head(D, sideB_a, h) # Torispherical case if sideA == 'torispherical': if sideA_f is not None and sideA_k is not None: SA += SA_partial_horiz_torispherical_head(D, sideA_f, sideA_k, h) else: raise ValueError("Torispherical sideA but no `f` and `k` provided") if sideB == 'torispherical': if sideB_f is not None and sideB_k is not None: SA += SA_partial_horiz_torispherical_head(D, sideB_f, sideB_k, h) else: raise ValueError("Torispherical sideB but no `f` and `k` provided") # Flat case if sideA is None: SA += A_partial_circle(D, h) if sideB is None: SA += A_partial_circle(D, h) if h > D: # Must be before Af, which will raise a domain error raise ValueError('Input height is above top of tank') SA += L*D*acos((D - h - h)/D) else: # Bottom head if sideA in ('conical', 'ellipsoidal', 'torispherical', 'spherical'): if sideA == 'conical': SA += SA_partial_vertical_conical_head(D, sideA_a, h=min(sideA_a, h)) elif sideA == 'ellipsoidal': SA += SA_partial_vertical_ellipsoidal_head(D, sideA_a, h=min(sideA_a, h)) elif sideA == 'spherical': SA += SA_partial_vertical_spherical_head(D, sideA_a, h=min(sideA_a, h)) elif sideA == 'torispherical': if sideA_f is not None and sideA_k is not None: SA += SA_partial_vertical_torispherical_head(D, sideA_f, sideA_k, h=min(sideA_a, h)) else: raise ValueError("Torispherical sideA but no `f` and `k` provided") elif sideA is None: SA += 0.25*pi*D*D # Cylindrical section if h >= sideA_a + L: SA += pi*D*L # All middle elif h > sideA_a: SA += pi*D*(h - sideA_a) # Partial middle # Top head if h >= sideA_a + L: # greater or equals is needed! Flat head on top adds lots of area. h2 = sideB_a - (h - sideA_a - L) if sideB == 'conical': if sideB_a == 0.0: SA += 0.25*pi*D*D else: SA += SA_partial_vertical_conical_head(D, sideB_a, h=sideB_a) SA -= SA_partial_vertical_conical_head(D, sideB_a, h=h2) elif sideB == 'ellipsoidal': if sideB_a == 0.0: SA += 0.25*pi*D*D else: SA += SA_partial_vertical_ellipsoidal_head(D, sideB_a, h=sideB_a) SA -= SA_partial_vertical_ellipsoidal_head(D, sideB_a, h=h2) elif sideB == 'spherical': if sideB_a == 0.0: SA += 0.25*pi*D*D else: SA += SA_partial_vertical_spherical_head(D, sideB_a, h=sideB_a) SA -= SA_partial_vertical_spherical_head(D, sideB_a, h=h2) elif sideB == 'torispherical': if sideB_a == 0.0: SA += 0.25*pi*D*D else: if sideB_f is not None and sideB_k is not None: SA += SA_partial_vertical_torispherical_head(D, sideB_f, sideB_k, h=sideB_a) SA -= max(0.0, SA_partial_vertical_torispherical_head(D, sideB_f, sideB_k, h=h2)) else: raise ValueError("Torispherical sideB but no `f` and `k` provided") elif sideB is None and h == sideA_a + L: # End cap if flat SA += 0.25*pi*D*D if h > L + sideA_a + sideB_a: raise ValueError('Input height is above top of tank') return SA def tank_from_two_specs_err(guess, spec0, spec1, spec0_name, spec1_name, h, horizontal, sideA, sideB, sideA_a, sideB_a, sideA_f, sideA_k, sideB_f, sideB_k, sideA_a_ratio, sideB_a_ratio): D, L_over_D = float(guess[0]), float(guess[1]) obj = TANK(D=D, L_over_D=L_over_D, horizontal=horizontal, sideA=sideA, sideB=sideB, sideA_a=sideA_a, sideB_a=sideB_a, sideA_f=sideA_f, sideA_k=sideA_k, sideB_f=sideB_f, sideB_k=sideB_k, sideA_a_ratio=sideA_a_ratio, sideB_a_ratio=sideB_a_ratio) # ensure h is always under the top h = min(h, obj.h_max) if spec0_name == 'V': err0 = obj.V_total - spec0 elif spec0_name == 'SA': err0 = obj.A - spec0 elif spec0_name == 'V_partial': err0 = obj.V_from_h(h) - spec0 elif spec0_name == 'SA_partial': err0 = obj.SA_from_h(h) - spec0 elif spec0_name == 'A_cross': err0 = obj.A_cross_sectional(h) - spec0 if spec1_name == 'V': err1 = obj.V_total - spec1 elif spec1_name == 'SA': err1 = obj.A - spec1 elif spec1_name == 'V_partial': err1 = obj.V_from_h(h) - spec1 elif spec1_name == 'SA_partial': err1 = obj.SA_from_h(h) - spec1 elif spec1_name == 'A_cross': err1 = obj.A_cross_sectional(h) - spec1 # print(err0, err1, D, L_over_D, h) return [err0, err1] class TANK(object): """Class representing tank volumes and levels. All parameters are also attributes. Parameters ---------- D : float Diameter of the cylindrical section of the tank, [m] L : float Length of the main cylindrical section of the tank, [m] horizontal : bool, optional Whether or not the tank is a horizontal or vertical tank sideA : string, optional The left (or bottom for vertical) head of the tank's type; one of [None, 'conical', 'ellipsoidal', 'torispherical', 'guppy', 'spherical', 'same']. sideB : string, optional The right (or top for vertical) head of the tank's type; one of [None, 'conical', 'ellipsoidal', 'torispherical', 'guppy', 'spherical', 'same']. sideA_a : float, optional The distance the head as specified by sideA extends down or to the left from the main cylindrical section, [m] sideB_a : float, optional The distance the head as specified by sideB extends up or to the right from the main cylindrical section, [m] sideA_f : float, optional Dimensionless dish-radius parameter for side A; also commonly given as the product of `f` and `D` (`fD`), which is called dish radius and has units of length, [-] sideA_k : float, optional Dimensionless knuckle-radius parameter for side A; also commonly given as the product of `k` and `D` (`kD`), which is called the knuckle radius and has units of length, [-] sideB_f : float, optional Dimensionless dish-radius parameter for side B; also commonly given as the product of `f` and `D` (`fD`), which is called dish radius and has units of length, [-] sideB_k : float, optional Dimensionless knuckle-radius parameter for side B; also commonly given as the product of `k` and `D` (`kD`), which is called the knuckle radius and has units of length, [-] sideA_a_ratio : float, optional Ratio for `a` parameter; can be used instead of specifying an absolute value, [-] sideB_a_ratio : float, optional Ratio for `a` parameter; can be used instead of specifying an absolute value, [-] L_over_D : float, optional Ratio of length over diameter, used only when D and L are both unspecified but V is, [-] V : float, optional Volume of the tank; solved for if specified, using sideA_a_ratio/sideB_a_ratio, sideA, sideB, horizontal, and one of L_over_D, L, or D, [m^3] Attributes ---------- h_max : float Height of the tank, [m] V_total : float Total volume of the tank as calculated [m^3] sideA_V : float Volume of only `sideA` [m^3] sideB_V : float Volume of only `sideB` [m^3] lateral_V : float Volume of cylindrical section of tank [m^3] A : float Total surface area of the tank, [m^2] A_sideA : float Surface area of sideA, [m^2] A_sideB : float Surface area of sideB, [m^2] A_lateral : float Surface area of the lateral side, [m^2] A_sideA_extra : float Additional surface area of sideA beyond that of a flat disk, [m^2] A_sideB_extra : float Additional surface area of sideB beyond that of a flat disk, [m^2] table : bool Whether or not a table of heights-volumes has been generated heights : ndarray Array of heights between 0 and h_max, [m] volumes : ndarray Array of volumes calculated from the heights, [m^3] c_forward : ndarray Coefficients for the Chebyshev approximations in calculating V from h, [-] c_backward : ndarray Coefficients for the Chebyshev approximations in calculating h from V, [-] Notes ----- For torpsherical tank heads, the following `f` and `k` parameters are used in standards. The default is ASME F&D. +----------------------+-----+-------+ | | f | k | +======================+=====+=======+ | 2:1 semi-elliptical | 0.9 | 0.17 | +----------------------+-----+-------+ | ASME F&D | 1 | 0.06 | +----------------------+-----+-------+ | ASME 80/6 | 0.8 | 0.06 | +----------------------+-----+-------+ | ASME 80/10 F&D | 0.8 | 0.1 | +----------------------+-----+-------+ | DIN 28011 | 1 | 0.1 | +----------------------+-----+-------+ | DIN 28013 | 0.8 | 0.154 | +----------------------+-----+-------+ For the following cases, numerical integrals are used. V_horiz_spherical V_horiz_torispherical SA_partial_horiz_spherical_head SA_partial_horiz_ellipsoidal_head SA_partial_horiz_guppy_head SA_partial_horiz_torispherical_head Examples -------- Total volume of a tank: >>> TANK(D=1.2, L=4, horizontal=False).V_total 4.523893421169302 Volume of a tank at a given height: >>> TANK(D=1.2, L=4, horizontal=False).V_from_h(.5) 0.5654866776461628 Height of liquid for a given volume: >>> TANK(D=1.2, L=4, horizontal=False).h_from_V(.5) 0.442097064 Surface area of a tank with a conical head: >>> T1 = TANK(V=10, L_over_D=0.7, sideB='conical', sideB_a=0.5) >>> T1.A, T1.A_sideA, T1.A_sideB, T1.A_lateral (24.94775907, 5.118555, 5.497246, 14.331956) Solving for tank volumes, first horizontal, then vertical: >>> TANK(D=10., horizontal=True, sideA='conical', sideB='conical', V=500).L 4.699531 >>> TANK(L=4.69953105701, horizontal=True, sideA='conical', sideB='conical', V=500).D 9.9999999 >>> TANK(L_over_D=0.469953105701, horizontal=True, sideA='conical', sideB='conical', V=500).L 4.6995310 >>> TANK(D=10., horizontal=False, sideA='conical', sideB='conical', V=500).L 4.699531 >>> TANK(L=4.69953105701, horizontal=False, sideA='conical', sideB='conical', V=500).D 9.99999999 >>> TANK(L_over_D=0.469953105701, horizontal=False, sideA='conical', sideB='conical', V=500).L 4.699531057 """ table = False chebyshev = False __full_path__ = __module__ + '.TANK' def __repr__(self): # pragma: no cover orient = 'Horizontal' if self.horizontal else 'Vertical' if self.sideA is None and self.sideB is None: sides = 'no heads' elif self.sideA == self.sideB: if self.sideA_a == self.sideB_a: sides = self.sideA + (' heads, a=%f m' %(self.sideA_a)) else: sides = self.sideA + ' heads, sideA a=%f m, sideB a=%f m' % (self.sideA_a, self.sideB_a) else: if self.sideA: A = '%s head on sideA with a=%f m' % (self.sideA, self.sideA_a) else: A = 'no head on sideA' if self.sideB: B = ' and %s head on sideB with a=%f m' % (self.sideB, self.sideB_a) else: B = ' and no head on sideB' sides = A + B return '<%s tank, V=%f m^3, D=%f m, L=%f m, %s.>' %(orient, self.V_total, self.D, self.L, sides) def __init__(self, D=None, L=None, horizontal=True, sideA=None, sideB=None, sideA_a=None, sideB_a=None, sideA_f=None, sideA_k=None, sideB_f=None, sideB_k=None, sideA_a_ratio=None, sideB_a_ratio=None, L_over_D=None, V=None): self.D = D self.L = L self.L_over_D = L_over_D self.V = V self.horizontal = horizontal sideA_same, sideB_same = sideA == 'same', sideB == 'same' if sideA_same and not sideB_same: sideA, sideA_a, sideA_a_ratio, sideA_f, sideA_k = sideB, sideB_a, sideB_a_ratio, sideB_f, sideB_k elif sideB_same and not sideA_same: sideB, sideB_a, sideB_a_ratio, sideB_f, sideB_k = sideA, sideA_a, sideA_a_ratio, sideA_f, sideA_k elif sideA_same and sideB_same: raise ValueError("Cannot specify both sides as same") self.sideA = sideA if sideA is None and sideA_a is None: sideA_a = 0.0 self.sideA_a = sideA_a if sideA_a is None and sideA_a_ratio is None and (sideA is not None and sideA != 'torispherical'): sideA_a_ratio = 0.25 self.sideA_a_ratio = sideA_a_ratio if sideA_a is None and sideA == 'torispherical': if sideA_f is None: sideA_f = 1.0 if sideA_k is None: sideA_k = 0.06 self.sideA_f = sideA_f self.sideA_k = sideA_k self.sideB = sideB if sideB is None and sideB_a is None: sideB_a = 0.0 self.sideB_a = sideB_a if sideB_a is None and sideB_a_ratio is None and (sideB is not None and sideB != 'torispherical'): sideB_a_ratio = 0.25 self.sideB_a_ratio = sideB_a_ratio if sideB_a is None and sideB == 'torispherical': if sideB_f is None: sideB_f = 1.0 if sideB_k is None: sideB_k = 0.06 self.sideB_f = sideB_f self.sideB_k = sideB_k if self.horizontal: self.vertical = False self.orientation = 'horizontal' self.angle = 0 else: self.vertical = True self.orientation = 'vertical' self.angle = 90 # If V is specified and either L or D are known, solve for L, D, L_over_D if self.V: self._solve_tank_for_V() self.set_misc() def set_misc(self): """Set more parameters, after the tank is better defined than in the __init__ function. Notes ----- Two of D, L, and L_over_D must be known when this function runs. The other one is set from the other two first thing in this function. a_ratio parameters are used to calculate a values for the heads here, if applicable. Radius is calculated here. Maximum tank height is calculated here. V_total is calculated here. """ if self.D is not None and self.L is not None: # If L and D are known, get L_over_D self.L_over_D = self.L/self.D elif self.D is not None and self.L_over_D is not None: # Otherwise, if L_over_D and D are provided, get L self.L = self.D*self.L_over_D elif self.L is not None and self.L_over_D is not None: # Otherwise, if L_over_D and L are provided, get D self.D = self.L/self.L_over_D D = self.D # Calculate diameter self.R = self.D/2. # If a_ratio is provided for either heads, use it. if self.sideA is not None and D is not None: if self.sideA_a is None and self.sideA in ('conical', 'ellipsoidal', 'guppy', 'spherical'): self.sideA_a = D*self.sideA_a_ratio if self.sideB is not None and D is not None: if self.sideB_a is None and self.sideB in ('conical', 'ellipsoidal', 'guppy', 'spherical'): self.sideB_a = D*self.sideB_a_ratio # Calculate a for torispherical heads if self.sideA == 'torispherical' and self.sideA_f is not None and self.sideA_k is not None: self.sideA_a = a_torispherical(D, self.sideA_f, self.sideA_k) if self.sideB == 'torispherical' and self.sideB_f is not None and self.sideB_k is not None: self.sideB_a = a_torispherical(D, self.sideB_f, self.sideB_k) # Ensure the correct a_ratios are set, whether there is a default being used or not if self.sideA_a_ratio is None and self.sideA_a is not None: self.sideA_a_ratio = self.sideA_a/D elif self.sideA_a_ratio is not None and self.sideA_a is not None and self.sideA_a != D*self.sideA_a_ratio: self.sideA_a_ratio = self.sideA_a/D if self.sideB_a_ratio is None and self.sideB_a is not None: self.sideB_a_ratio = self.sideB_a/D elif self.sideB_a_ratio is not None and self.sideB_a is not None and self.sideB_a != D*self.sideB_a_ratio: self.sideB_a_ratio = self.sideB_a/D # Calculate maximum tank height, h_max if self.horizontal: self.h_max = D else: self.h_max = self.L if self.sideA_a: self.h_max += self.sideA_a if self.sideB_a: self.h_max += self.sideB_a # Set maximum height # self.V_total = self.V_from_h(self.h_max) self.V_total, self.V_sideA, self.V_sideB, self.V_lateral = V_tank( D=D, L=self.L, sideA=self.sideA, sideB=self.sideB, sideA_a=self.sideA_a, sideB_a=self.sideB_a, sideA_f=self.sideA_f, sideA_k=self.sideA_k, sideB_f=self.sideB_f, sideB_k=self.sideB_k, horizontal=self.horizontal) # Set surface areas self.A, self.A_sideA, self.A_sideB, self.A_lateral = SA_tank( D=D, L=self.L, sideA=self.sideA, sideB=self.sideB, sideA_a=self.sideA_a, sideB_a=self.sideB_a, sideA_f=self.sideA_f, sideA_k=self.sideA_k, sideB_f=self.sideB_f, sideB_k=self.sideB_k) A_circular_plate = 0.25*pi*D*D self.A_sideA_extra = self.A_sideA - A_circular_plate self.A_sideB_extra = self.A_sideB - A_circular_plate @staticmethod def from_two_specs(spec0, spec1, spec0_name='V', spec1_name='A_cross', h=None, horizontal=True, sideA=None, sideB=None, sideA_a=None, sideB_a=None, sideA_f=None, sideA_k=None, sideB_f=None, sideB_k=None, sideA_a_ratio=None, sideB_a_ratio=None): r'''Method to create a new tank instance according to two specifications which are not direct geometry parameters. The allowable options are 'V', 'SA', 'V_partial', 'SA_partial', and 'A_cross', the later three of which require `h` to be specified. Parameters ---------- spec0 : float Goal for `spec0_name`, [-] spec1 : float Goal for `spec1_name`, [-] spec0_name : str One of 'V', 'SA', 'V_partial', 'SA_partial', and 'A_cross' [-] spec1_name : str One of 'V', 'SA', 'V_partial', 'SA_partial', and 'A_cross' [-] h : float Height at which to calculate the specs, [m] horizontal : bool, optional Whether or not the tank is a horizontal or vertical tank sideA : string, optional The left (or bottom for vertical) head of the tank's type; one of [None, 'conical', 'ellipsoidal', 'torispherical', 'guppy', 'spherical', 'same']. sideB : string, optional The right (or top for vertical) head of the tank's type; one of [None, 'conical', 'ellipsoidal', 'torispherical', 'guppy', 'spherical', 'same']. sideA_a : float, optional The distance the head as specified by sideA extends down or to the left from the main cylindrical section, [m] sideB_a : float, optional The distance the head as specified by sideB extends up or to the right from the main cylindrical section, [m] sideA_f : float, optional Dimensionless dish-radius parameter for side A; also commonly given as the product of `f` and `D` (`fD`), which is called dish radius and has units of length, [-] sideA_k : float, optional Dimensionless knuckle-radius parameter for side A; also commonly given as the product of `k` and `D` (`kD`), which is called the knuckle radius and has units of length, [-] sideB_f : float, optional Dimensionless dish-radius parameter for side B; also commonly given as the product of `f` and `D` (`fD`), which is called dish radius and has units of length, [-] sideB_k : float, optional Dimensionless knuckle-radius parameter for side B; also commonly given as the product of `k` and `D` (`kD`), which is called the knuckle radius and has units of length, [-] Returns ------- TANK : TANK Tank object at solved specifications, [-] Notes ----- Limited testing has been done on this method. The bounds are D between 0.1 mm and 10 km, with L_D ratios of 1e-4 to 1e4. ''' args = (spec0, spec1, spec0_name, spec1_name, h, horizontal, sideA, sideB, sideA_a, sideB_a, sideA_f, sideA_k, sideB_f, sideB_k, sideA_a_ratio, sideB_a_ratio) new_f, translate_into, translate_outof = translate_bound_func(tank_from_two_specs_err, bounds=[(1e-4, 1e4), (1e-4, 1e4)]) # Diameter and length/diameter as iteration variables guess = translate_into([1.0, 3.0]) from scipy.optimize import fsolve ans = fsolve(new_f, guess, args=args, xtol=1e-10, factor=.1) val0, val1 = translate_outof(ans) return TANK(D=float(val0), L_over_D=float(val1), horizontal=horizontal, sideA=sideA, sideB=sideB, sideA_a=sideA_a, sideB_a=sideB_a, sideA_f=sideA_f, sideA_k=sideA_k, sideB_f=sideB_f, sideB_k=sideB_k, sideA_a_ratio=sideA_a_ratio, sideB_a_ratio=sideB_a_ratio,) def add_thickness(self, thickness, sideA_thickness=None, sideB_thickness=None): r'''Method to create a new tank instance with the same parameters as itself, except with an added thickness to it. This is useful to obtain ex. the inside of a tank and the outside; their different in volumes is the volume of the shell, and could be used to determine weight. Parameters ---------- thickness : float Thickness to add to the tank diameter, [m] sideA_thickness : float, optional The thickness to add to the sideA head; if not specified, it will be `thickness`, [m] sideB_thickness : float, optional The thickness to add to the sideB head; if not specified, it will be `thickness`, [m] Returns ------- TANK : TANK Tank object, [-] Notes ----- Be careful not to specify a negative thickness larger than the heads' lengths, or the head will become concave! The same applies to adding a thickness to convex heads - they can become convex. ''' kwargs = dict(D=self.D, L=self.L, horizontal=self.horizontal, sideA=self.sideA, sideB=self.sideB, sideA_a=self.sideA_a, sideB_a=self.sideB_a, sideA_f=self.sideA_f, sideA_k=self.sideA_k, sideB_f=self.sideB_f, sideB_k=self.sideB_k) if sideA_thickness is None: sideA_thickness = thickness if sideB_thickness is None: sideB_thickness = thickness # Do not transfer a_ratios or volume or L_over_D kwargs['D'] += 2.0*thickness kwargs['L'] += sideA_thickness + sideB_thickness # For torispherical vessels, the heads are defined from the `f` and `k` # parameters which are already functions of diameter, and so will be # fixed automatically; if the `a` parameters are specified they would # not be corrected if self.sideA != 'torispherical': kwargs['sideA_a'] += sideA_thickness else: del kwargs['sideA_a'] if self.sideB != 'torispherical': kwargs['sideB_a'] += sideB_thickness else: del kwargs['sideB_a'] return TANK(**kwargs) def SA_from_h(self, h, method='full'): r'''Method to calculate the volume of liquid in a fully defined tank given a specified height `h`. `h` must be under the maximum height. Parameters ---------- h : float Height specified, [m] method : str, optional 'full' (calculated rigorously) ; nothing else is implemented Returns ------- SA : float Surface area of liquid in the tank up to the specified height, [m^2] Notes ----- ''' if method == 'full': return SA_from_h(h, self.D, self.L, self.horizontal, self.sideA, self.sideB, self.sideA_a, self.sideB_a, self.sideA_f, self.sideA_k, self.sideB_f, self.sideB_k) else: raise ValueError("Allowable methods are 'full' .") def V_from_h(self, h, method='full'): r'''Method to calculate the volume of liquid in a fully defined tank given a specified height `h`. `h` must be under the maximum height. If the method is 'chebyshev', and the coefficients have not yet been calculated, they are created by calling `set_chebyshev_approximators`. Parameters ---------- h : float Height specified, [m] method : str One of 'full' (calculated rigorously) or 'chebyshev' Returns ------- V : float Volume of liquid in the tank up to the specified height, [m^3] Notes ----- ''' if method == 'full': return V_from_h(h, self.D, self.L, self.horizontal, self.sideA, self.sideB, self.sideA_a, self.sideB_a, self.sideA_f, self.sideA_k, self.sideB_f, self.sideB_k) elif method == 'chebyshev': if not self.chebyshev: self.set_chebyshev_approximators() return self.V_from_h_cheb(h) else: raise ValueError("Allowable methods are 'full' or 'chebyshev'.") def h_from_V(self, V, method='spline'): r'''Method to calculate the height of liquid in a fully defined tank given a specified volume of liquid in it `V`. `V` must be under the maximum volume. If the method is 'spline', and the interpolation table is not yet defined, creates it by calling the method set_table. If the method is 'chebyshev', and the coefficients have not yet been calculated, they are created by calling `set_chebyshev_approximators`. Parameters ---------- V : float Volume of liquid in the tank up to the desired height, [m^3] method : str One of 'spline', 'chebyshev', or 'brenth' Returns ------- h : float Height of liquid at which the volume is as desired, [m] ''' if method == 'spline': try: if not self.table: self.set_table() return float(self.interp_h_from_V(V)) except: # Missing scipy return self.h_from_V(V, 'brenth') elif method == 'chebyshev': if not self.chebyshev: self.set_chebyshev_approximators() return self.h_from_V_cheb(V) elif method == 'brenth': to_solve = lambda h : self.V_from_h(h, method='full') - V return brenth(to_solve, self.h_max, 0) else: raise ValueError("Allowable methods are 'full' or 'chebyshev', " "or 'brenth'.") def A_cross_sectional(self, h, method='full'): r'''Method to calculate the cross-sectional liquid surface area from which gas can evolve in a fully defined tank given a specified height `h`. `h` must be under the maximum height. This is calculated by numeric differentiation for most cases. Parameters ---------- h : float Height specified, [m] method : str, optional 'full' (calculated rigorously) or 'chebyshev', [-] Returns ------- A_cross : float Surface area of liquid in the tank up to the specified height, [m^2] Notes ----- ''' # The derivative will give bad values in some cases, when right up against boundaries # Analytical formulations can be done, but will be lots of code return derivative(lambda h: self.V_from_h(h), h, dx=1e-7*h, order=3, n=1) def set_table(self, n=100, dx=None): r'''Method to set an interpolation table of liquids levels versus volumes in the tank, for a fully defined tank. Normally run by the h_from_V method, this may be run prior to its use with a custom specification. Either the number of points on the table, or the vertical distance between steps may be specified. Parameters ---------- n : float, optional Number of points in the interpolation table, [-] dx : float, optional Vertical distance between steps in the interpolation table, [m] ''' if dx: self.heights = linspace(0.0, self.h_max, int(self.h_max/dx)+1) else: self.heights = linspace(0.0, self.h_max, n) self.volumes = [self.V_from_h(h) for h in self.heights] from scipy.interpolate import UnivariateSpline self.interp_h_from_V = UnivariateSpline(self.volumes, self.heights, ext=3, s=0.0) self.table = True def set_chebyshev_approximators(self, deg_forward=50, deg_backwards=200): r'''Method to derive and set coefficients for chebyshev polynomial function approximation of the height-volume and volume-height relationship. A single set of chebyshev coefficients is used for the entire height- volume and volume-height relationships respectively. The forward relationship, `V_from_h`, requires far fewer coefficients in its fit than the reverse to obtain the same relative accuracy. Optionally, deg_forward or deg_backwards can be set to None to try to automatically fit the series to machine precision. Parameters ---------- deg_forward : int, optional The degree of the chebyshev polynomial to be created for the `V_from_h` curve, [-] deg_backwards : int, optional The degree of the chebyshev polynomial to be created for the `h_from_V` curve, [-] ''' from fluids.optional.pychebfun import Chebfun import numpy as np to_fit = lambda h: self.V_from_h(h, 'full') # These high-degree polynomials cannot safety be evaluated using Horner's methods # chebval is 2.5x as slow but 100% required; around 40 coefficients results are junk self.c_forward = Chebfun.from_function(np.vectorize(to_fit), [0.0, self.h_max], N=deg_forward).coefficients().tolist() self.V_from_h_cheb = lambda x : chebval((2.0*x-self.h_max)/(self.h_max), self.c_forward) to_fit = lambda h: self.h_from_V(h, 'brenth') self.c_backward = Chebfun.from_function(np.vectorize(to_fit), [0.0, self.V_total], N=deg_backwards).coefficients().tolist() self.h_from_V_cheb = lambda x : chebval((2.0*x-self.V_total)/(self.V_total), self.c_backward) self.chebyshev = True def _V_solver_error(self, Vtarget, D, L, horizontal, sideA, sideB, sideA_a, sideB_a, sideA_f, sideA_k, sideB_f, sideB_k, sideA_a_ratio, sideB_a_ratio): """Function which uses only the variables given, and the TANK class itself, to determine how far from the desired volume, Vtarget, the volume produced by the specified parameters in a new TANK instance is. Should only be used by _solve_tank_for_V method. """ a = TANK(D=float(D), L=float(L), horizontal=horizontal, sideA=sideA, sideB=sideB, sideA_a=sideA_a, sideB_a=sideB_a, sideA_f=sideA_f, sideA_k=sideA_k, sideB_f=sideB_f, sideB_k=sideB_k, sideA_a_ratio=sideA_a_ratio, sideB_a_ratio=sideB_a_ratio) error = (Vtarget - a.V_total) return error def _solve_tank_for_V(self): """Method which is called to solve for tank geometry when a certain volume is specified. Will be called by the __init__ method if V is set. Notes ----- Raises an error if L and either of sideA_a or sideB_a are specified; these can only be set once D is known. Raises an error if more than one of D, L, or L_over_D are specified. Raises an error if the head ratios are not provided. Calculates initial guesses assuming no heads are present, and then uses fsolve to determine the correct dimensions for the tank. Tested, but bugs and limitations are expected here. """ if self.L and (self.sideA_a or self.sideB_a): raise ValueError('Cannot specify head sizes when solving for V') if (self.D and self.L) or (self.D and self.L_over_D) or (self.L and self.L_over_D): raise ValueError('Only one of D, L, or L_over_D can be specified\ when solving for V') if ((self.sideA is not None and (self.sideA_a_ratio is None and self.sideA_a is None) and self.sideA != 'torispherical') or (self.sideB is not None and (self.sideB_a_ratio is None and self.sideB_a is None) and self.sideB != 'torispherical')): raise ValueError('When heads are specified, head parameter ratios are required') if self.D: # Iterate until L is appropriate solve_L = lambda L: self._V_solver_error(self.V, self.D, L, self.horizontal, self.sideA, self.sideB, self.sideA_a, self.sideB_a, self.sideA_f, self.sideA_k, self.sideB_f, self.sideB_k, self.sideA_a_ratio, self.sideB_a_ratio) Lguess = self.V/(pi/4*self.D**2) self.L = float(secant(solve_L, Lguess, xtol=1e-13)) elif self.L: # Iterate until D is appropriate solve_D = lambda D: self._V_solver_error(self.V, D, self.L, self.horizontal, self.sideA, self.sideB, self.sideA_a, self.sideB_a, self.sideA_f, self.sideA_k, self.sideB_f, self.sideB_k, self.sideA_a_ratio, self.sideB_a_ratio) Dguess = sqrt(4*self.V/pi/self.L) self.D = float(secant(solve_D, Dguess, xtol=1e-13)) else: # Use L_over_D until L and D are appropriate Lguess = (4*self.V*self.L_over_D**2/pi)**(1/3.) solve_L_D = lambda L: self._V_solver_error(self.V, L/self.L_over_D, L, self.horizontal, self.sideA, self.sideB, self.sideA_a, self.sideB_a, self.sideA_f, self.sideA_k, self.sideB_f, self.sideB_k, self.sideA_a_ratio, self.sideB_a_ratio) self.L = float(secant(solve_L_D, Lguess, xtol=1e-13)) self.D = self.L/self.L_over_D class HelicalCoil(object): r'''Class representing a helical coiled tube, as are found in many heated tanks and some small nuclear reactors. All parameters are also attributes. One set of the following parameters is required; inner tube diameter is optional. * Tube outer diameter, coil outer diameter, pitch, number of coil turns * Tube outer diameter, coil outer diameter, pitch, height * Tube outer diameter, coil outer diameter, number of coil turns, height Parameters ---------- Dt : float Outer diameter of the tube wound to make up the helical spiral, [m] Do : float Diameter of the spiral as measured from the center of the coil on one side to the center of the coil on the other side, [m] Do_total : float, optional Diameter of the spiral as measured from one edge of the tube to the other edge; equal to Do + Dt; either `Do` or `Do_total` may be specified and the other will be calculated [m] pitch : float, optional Height change from one coil to the next as measured from the middles of the tube, [m] H : float, optional Height of the spiral, as measured from the middle of the bottom of the tube to the middle of the top of the tube, [m] H_total : float, optional Height of the spiral as measured from one edge of the tube to the other edge; equal to `H_total` + `Dt`; either may be specified and the other will be calculated [m] N : float, optional Number of coil turns; may be specified along with `pitch` instead of specifying `H` or `H_total`, [-] Di : float, optional Inner diameter of the tube; if specified, inside and annulus properties will be calculated, [m] Attributes ---------- tube_circumference : float Circumference of the tube as measured though its center, not inner or outer edges; :math:`C = \pi D_o`, [m] tube_length : float Length of tube used to make the helical coil; :math:`L = \sqrt{(\pi D_o\cdot N)^2 + H^2}`, [m] surface_area : float Surface area of the outer surface of the helical coil; :math:`A_t = \pi D_t L`, [m^2] inner_surface_area : float Surface area of the inner surface of the helical coil; calculated if `Di` is supplied; :math:`A_{inside} = \pi D_i L`, [m^2] inlet_area : float Area of the inlet to the helical coil; calculated if `Di` is supplied; :math:`A_{inlet} = \frac{\pi}{4} D_i^2`, [m^2] inner_volume : float Volume of the tube as would be filled by a fluid, useful for weight calculations; calculated if `Di` is supplied; :math:`V_{inside} = A_i L`, [m^3] annulus_area : float Area of the annulus (wall of the pipe); calculated if `Di` is supplied; :math:`A_a = \frac{\pi}{4} (D_t^2 - D_i^2)`, [m^2] annulus_volume : float Volume of the annulus (wall of the pipe); calculated if `Di` is supplied, useful for weight calculations; :math:`V_a = A_a L`, [m^3] total_volume : float Total volume occupied by the pipe and the fluid inside it; :math:`V = D_t L`, [m^3] helix_angle : float Angle between the pitch and coil diameter; used in some calculations; :math:`\alpha = \arctan \left(\frac{p_t}{\pi D_o}\right)`, [radians] curvature : float Coil curvature, useful in some calculations; :math:`\delta = \frac{D_t}{D_o[1 + 4\pi^2 \tan^2(\alpha)]}`, [-] Notes ----- `Do` must be larger than `Dt`. Examples -------- >>> C1 = HelicalCoil(Do=30, H=20, pitch=5, Dt=2) >>> C1.N, C1.tube_length, C1.surface_area (4.0, 377.5212621504738, 2372.0360474917497) Same coil, with the inputs one would physically measure from the coil, and a specified inlet diameter: >>> C1 = HelicalCoil(Do_total=32, H_total=22, pitch=5, Dt=2, Di=1.8) >>> C1.N, C1.tube_length, C1.surface_area (4.0, 377.5212621504738, 2372.0360474917497) >>> C1.inner_surface_area, C1.inlet_area, C1.inner_volume, C1.total_volume, C1.annulus_volume (2134.832442742575, 2.5446900494077327, 960.6745992341587, 1186.0180237458749, 225.3434245117162) References ---------- .. [1] El-Genk, Mohamed S., and Timothy M. Schriener. "A Review and Correlations for Convection Heat Transfer and Pressure Losses in Toroidal and Helically Coiled Tubes." Heat Transfer Engineering 0, no. 0 (June 7, 2016): 1-28. doi:10.1080/01457632.2016.1194693. ''' def __repr__(self): # pragma : no cover s = ' self.Do: raise ValueError('Tube diameter is larger than helix outer diameter - not feasible.') self.tube_circumference = pi*self.Do self.tube_length = sqrt((self.tube_circumference*self.N)**2 + self.H**2) self.surface_area = self.tube_length*pi*self.Dt #print(pi*self.tube_length*self.Dt) == surface_area self.helix_angle = atan(self.pitch/(pi*self.Do)) self.curvature = self.Dt/self.Do/(1. + 4*pi**2*tan(self.helix_angle)**2) #print(self.N*pi*self.Do/cos(self.helix_angle)) # Confirms the length with another formula self.total_inlet_area = pi/4.*self.Dt**2 self.total_volume = self.total_inlet_area*self.tube_length if Di is not None: self.Di = Di self.inner_surface_area = self.tube_length*pi*self.Di self.inlet_area = pi/4.*self.Di**2 self.inner_volume = self.inlet_area*self.tube_length self.annulus_area = self.total_inlet_area - self.inlet_area self.annulus_volume = self.total_volume - self.inner_volume def plate_enlargement_factor(amplitude, wavelength): r'''Calculates the enhancement factor of the sinusoidal waves of the plate heat exchanger. This is the multiplier for the flat plate area to obtain the actual area available for heat transfer. Obtained from the following integral: .. math:: \phi = \frac{\text{Effective area}}{\text{Projected area}} = \frac{\int_0^\lambda\sqrt{1 + \left(\frac{\gamma\pi}{2}\right)^2 \cos^2\left(\frac{2\pi}{\lambda}x\right)}dx}{\lambda} .. math:: \gamma = \frac{4a}{\lambda} The solution to the integral is: .. math:: \phi = \frac{2E\left(\frac{-4a^2\pi^2}{\lambda^2}\right)}{\pi} where E is the complete elliptic integral of the second kind, calculated with SciPy. Parameters ---------- amplitude : float Half the height of the wave of the ridges, [m] wavelength : float Distance between the bottoms of two of the ridges (sometimes called pitch), [m] Returns ------- plate_enlargement_factor : float The extra surface area multiplier as compared to a flat plate caused the corrugations, [-] Notes ----- This is the exact analytical integral, obtained via Mathematica, Maple, and quite a bit of trial and error. It is confirmed via numerical integration. The expression normally given is an approximation as follows: .. math:: \phi = \frac{1}{6}\left(1+\sqrt{1+A^2} + 4\sqrt{1+A^2/2}\right) A = \frac{2\pi a}{\lambda} Most plate heat exchangers approximate a sinusoidal geometry only. Examples -------- >>> plate_enlargement_factor(amplitude=5E-4, wavelength=3.7E-3) 1.1611862034509677 ''' b = 2.*amplitude return 2.*float(ellipe(-b*b*pi*pi/(wavelength*wavelength)))/pi class PlateExchanger(object): r'''Class representing a plate heat exchanger with sinusoidal ridges. All parameters are also attributes. Parameters ---------- amplitude : float Half the height of the wave of the ridges, [m] wavelength : float Distance between the bottoms of two of the ridges (sometimes called pitch), [m] chevron_angle : float, optional Angle of the plate corrugations with respect to the vertical axis (the direction of flow if the plates were straight), between 0 and 90, [degrees] chevron_angles : tuple(2), optional Many plate exchangers use two alternating patterns; for those cases provide tuple of the two angles for that situation and the argument `chevron_angle` is ignored, [degrees] width : float, optional Width of the plates in the heat exchanger, between the gaskets, [m] length : float, optional Length of the heat exchanger as measured from one port to the other, excluding the diameter of the ports themselves (little useful heat transfer happens there), [m] thickness : float, optional Thickness of the metal making up the plates, [m] d_port : float, optional The diameter of the ports in the plates, [m] plates : int, optional The number of plates in the heat exchanger, including the two not used for heat transfer at the beginning and end [-] Attributes ---------- chevron_angles : tuple(2) The two specified angles (repeated value if only one specified), [degrees] chevron_angle : float The averaged angle of the chevrons, [degrees] inclination_angle : float 90 - `chevron_angle`, used in many publications instead of `chevron_angle`, [degrees] plate_corrugation_aspect_ratio : float The aspect ratio of the corrugations :math:`\gamma = \frac{4a}{\lambda}`, [-] plate_enlargement_factor : float The extra surface area multiplier as compared to a flat plate caused the corrugations, [-] D_eq : float Equivalent diameter of the channels, :math:`D_{eq} = 4a` [m] D_hydraulic : float Hydraulic diameter of the channels, :math:`D_{hyd} = \frac{4a}{\phi}` [m] length_port : float Port center to port center along the direction of flow, [m] A_plate_surface : float The surface area of one plate in the heat exchanger, including the extra due to corrugations (excluding the bit between the ports), :math:`A_p = L\cdot W\cdot \phi` [m^2] A_heat_transfer : float The total surface area available for heat transfer in the exchanger, the multiple of `A_plate_surface` by the number of plates after removing the two on the edges, [m^2] A_channel_flow : float The area for the fluid to flow in one channel, :math:`W\cdot b` [m^2] channels : int The number of plates minus one, [-] channels_per_fluid : int Half the number of total channels, [-] Notes ----- Only wavelength and amplitude are required as inputs to this function. Examples -------- >>> PlateExchanger(amplitude=5E-4, wavelength=3.7E-3, length=1.2, width=.3, ... d_port=.05, plates=51) References ---------- .. [1] Amalfi, Raffaele L., Farzad Vakili-Farahani, and John R. Thome. "Flow Boiling and Frictional Pressure Gradients in Plate Heat Exchangers. Part 1: Review and Experimental Database." International Journal of Refrigeration 61 (January 2016): 166-84. doi:10.1016/j.ijrefrig.2015.07.010. ''' def __repr__(self): # pragma : no cover s = '>> PFE = RectangularFinExchanger(0.03, 0.001, 0.012) >>> PFE.Dh 0.01595 References ---------- .. [1] Yang, Yujie, and Yanzhong Li. "General Prediction of the Thermal Hydraulic Performance for Plate-Fin Heat Exchanger with Offset Strip Fins." International Journal of Heat and Mass Transfer 78 (November 1, 2014): 860-70. doi:10.1016/j.ijheatmasstransfer.2014.07.060. .. [2] Sheik Ismail, L., R. Velraj, and C. Ranganayakulu. "Studies on Pumping Power in Terms of Pressure Drop and Heat Transfer Characteristics of Compact Plate-Fin Heat Exchangers-A Review." Renewable and Sustainable Energy Reviews 14, no. 1 (January 2010): 478-85. doi:10.1016/j.rser.2009.06.033. ''' def __init__(self, fin_height, fin_thickness, fin_spacing, length=None, width=None, layers=None, plate_thickness=None, flow='crossflow'): self.h = self.fin_height = fin_height # including 2x thickness self.t = self.fin_thickness = fin_thickness self.s = self.fin_spacing = fin_spacing self.L = self.length = length self.W = self.width = width self.layers = layers self.flow = flow self.plate_thickness = plate_thickness self.channel_height = self.fin_height - self.fin_thickness self.channel_width = self.fin_spacing - self.fin_thickness self.fin_count = 1./self.fin_spacing self.blockage_ratio = (self.s*self.h - self.s*self.t - (self.h-self.t)*self.t)/(self.s*self.h) self.A_channel = (self.s-self.t)*(self.h-self.t) self.P_channel = 2*(self.s-self.t) + 2*(self.h-self.t) self.Dh = 4*self.A_channel/self.P_channel self.set_overall_geometry() def set_overall_geometry(self): if self.plate_thickness: self.layer_thickness = self.plate_thickness + self.fin_height if self.length and self.width: self.layer_fin_count = round(self.fin_count*self.width, 0) if hasattr(self, 'SA_fin'): self.A_HX_layer = self.layer_fin_count*self.SA_fin*self.length else: self.A_HX_layer = self.P_channel*self.length*self.layer_fin_count if self.layers: self.A_HX = self.layers*self.A_HX_layer if self.plate_thickness: self.height = self.layer_thickness*self.layers + self.plate_thickness self.volume = (self.length*self.width*self.height) self.A_specific_HX = self.A_HX/self.volume class RectangularOffsetStripFinExchanger(RectangularFinExchanger): def __init__(self, fin_length, fin_height, fin_thickness, fin_spacing, length=None, width=None, layers=None, plate_thickness=None, flow='crossflow'): self.l = self.fin_length = fin_length self.h = self.fin_height = fin_height self.t = self.fin_thickness = fin_thickness self.s = self.fin_spacing = fin_spacing self.blockage_ratio = self.omega = 2*self.t/self.s*(1. - self.t/self.h) + self.t/self.h*(1 - 2*self.t/self.s) # Kim blockage ratio beta self.blockage_ratio_Kim = self.t/self.h + self.t/self.s - self.t**2/(self.h*self.s) # Definitions as in the paper with the most common correlation self.alpha = self.s/self.h # "General prediction" uses t/h here self.delta = self.t/self.l self.gamma = self.t/self.s # free flow area self.A_channel = (self.h - self.t)*(self.s - self.t) self.A = 2.*(self.l*(self.h-self.t) + self.l*(self.s-self.t) + self.t*(self.h-self.t)) + self.t*(self.s-2*self.t) self.Dh = 4.*self.l*self.A_channel/self.A # not the standard definition self.P_channel = 2*(self.s-self.t) + 2*(self.h-self.t) self.Dh_Kays_London = 4*self.A_channel/(2*(self.h -self.t)+ 2*(self.s -self.t)) # Does not consider the fronts of backs of the fins, only the 2d shape self.Dh_Joshi_Webb = 2*self.l*(self.h - self.t)*(self.s - 2*self.t)/(self.l*(self.h-self.t) + self.l*(self.s - self.t) + self.t*(self.h - self.t)) self.L = self.length = length self.W = self.width = width self.layers = layers self.flow = flow self.plate_thickness = plate_thickness self.fin_count = 1./self.fin_spacing self.set_overall_geometry() class HyperbolicCoolingTower(object): r'''Class representing the geometry of a hyperbolic cooling tower, as used in many industries especially the poewr industry. All parameters are also attributes. `H_inlet`, `D_outlet`, and `H_outlet` are always required. Additionally, one set of the following parameters is required; `H_support`, `D_support`, `n_support`, and `inlet_rounding` are all optional as well. * Inlet diameter * Inlet diameter and throat diameter * Inlet diameter and throat height * Inlet diameter, throat diameter, and throat height * Base diameter, throat diameter, and throat height If the inlet diameter is provided but the throat diameter and/or the throat height are missing, two heuristics are used to estimate them (to avoid these heuristics simply specify the values): * Assume the throat elevation is 2/3 the elevation of the tower. * Assume the throat diameter is 63% the diameter of the inlet. Parameters ---------- H_inlet : float Height of the inlet zone of the cooling tower (also called rain zone), [m] D_outlet : float The inside diameter of the cooling tower outlet (top of the tower; the elevation the concrete section ends), [m] H_outlet : float The height of the cooling tower outlet (top of the tower;the elevation the concrete section ends), [m] D_inlet : float, optional The inside diameter of the cooling tower inlet at the elevation the concrete section begins, [m] D_base : float, optional The diameter of the cooling tower at the very base of the tower (the bottom of the inlet zone, at the elevation of the ground), [m] D_throat : float, optional The diameter of the cooling tower at its minimum section, called its throat; where the two hyperbolas meet, [m] h_throat : float, optional The elevation of the cooling tower's throat (its minimum section; where the two hyperbolas meet), [m] inlet_rounding : float, optional Radius of an optional rounded protrusion from the lip of the cooling tower shell base, which curves upwards from the lip (used to reduce the dead zone area rather than having a flat lip), [m] H_support : float, optional The height of each support column, [m] D_support : float, optional The diameter of each support column, [m] n_support : int, optional The number of support columns of the cooling tower, [m] Attributes ---------- b_lower : float The `b` parameter in the hyperbolic equation for the lower section of the cooling tower, [m] b_upper : float The `b` parameter in the hyperbolic equation for the upper section of the cooling tower, [m] Notes ----- Note there are two hyperbolas in a hyperbolic cooling tower - one under the throat and one above it; they are not necessarily the same. A hyperbolic cooling tower is not the absolute optimal design, but is is close. The optimality is determined by the amount of material required to build it while maintaining its rigidity. For thermal design purposes, a hyperbolic model covers any minor variation quite well. Examples -------- >>> ct = HyperbolicCoolingTower(D_outlet=89.0, H_outlet=200, D_inlet=136.18, H_inlet=14.5) >>> ct >>> ct.diameter(5) 142.84514486126062 References ---------- .. [1] Chen, W. F., and E. M. Lui, eds. Handbook of Structural Engineering, Second Edition. Boca Raton, Fla: CRC Press, 2005. .. [2] Ansary, A. M. El, A. A. El Damatty, and A. O. Nassef. Optimum Shape and Design of Cooling Towers, 2011. ''' def __repr__(self): # pragma : no cover s = '''''' s = s%(self.D_inlet, self.D_outlet, self.H_inlet, self.H_outlet, self.D_throat, self.H_throat, self.D_base) return s def __init__(self, H_inlet, D_outlet, H_outlet, D_inlet=None, D_base=None, D_throat=None, H_throat=None, H_support=None, D_support=None, n_support=None, inlet_rounding=None): self.D_outlet = D_outlet self.H_inlet = H_inlet self.H_outlet = H_outlet if H_throat is None: H_throat = 2/3.0*H_outlet self.H_throat = H_throat if D_throat is None: if D_inlet is not None: D_throat = 0.63*D_inlet else: raise ValueError('Provide either `D_throat`, or `D_inlet` so it may be estimated.') self.D_throat = D_throat if D_inlet is None and D_base is None: raise ValueError('Need `D_inlet` or `D_base`') if D_base is not None: b = self.D_throat*self.H_throat/sqrt(D_base**2 - self.D_throat**2) D_inlet = 2*self.D_throat*sqrt((self.H_throat-H_inlet)**2 + b**2)/(2*b) elif D_inlet is not None: b = self.D_throat*(self.H_throat-H_inlet)/sqrt(D_inlet**2 - self.D_throat**2) D_base = 2*self.D_throat*sqrt(self.H_throat**2 + b**2)/(2*b) self.D_inlet = D_inlet self.D_base = D_base self.b_lower = b # Upper b parameter self.b_upper = self.D_throat*(self.H_outlet - self.H_throat)/sqrt((self.D_outlet)**2 - self.D_throat**2) # May or may not be specified self.H_support = H_support self.D_support = D_support self.n_support = n_support self.inlet_rounding = inlet_rounding def plot(self, pts=100): # pragma: no cover import matplotlib.pyplot as plt Zs = linspace(0, self.H_outlet, pts) Rs = [self.diameter(Z)*0.5 for Z in Zs] plt.plot(Zs, Rs) plt.plot(Zs, [-v for v in Rs]) plt.show() def diameter(self, H): r'''Calculates cooling tower diameter at a specified height, using the formulas for either hyperbola, depending on the height specified. .. math:: D = D_{throat}\frac{\sqrt{H^2 + b^2}}{b} The value of `H` and `b` used in the above equation is as follows: * `H_throat` - H and `b_lower` if under the throat * `H` - `H_throat` and `b_upper`, if above the throat Parameters ---------- H : float Height at which to calculate the cooling tower diameter, [m] Returns ------- D : float Diameter of the cooling tower at the specified height, [m] ''' # Compute the diameter at H if H <= self.H_throat: # Height relative to throat height H = self.H_throat - H b = self.b_lower else: H = H - self.H_throat b = self.b_upper R = self.D_throat*sqrt(H*H + b*b)/(2.0*b) return R*2.0 class AirCooledExchanger(object): r'''Class representing the geometry of an air cooled heat exchanger with one or more tube bays, fans, or bundles. All parameters are also attributes. The minimum information required to describe an air cooler is as follows: * `tube_rows` * `tube_passes` * `tubes_per_row` * `tube_length` * `tube_diameter` * `fin_thickness` Two of `angle`, `pitch`, `pitch_parallel`, and `pitch_normal` (`pitch_ratio` may take the place of `pitch`) Either `fin_diameter` or `fin_height`. Either `fin_density` or `fin_interval`. Parameters ---------- tube_rows : int Number of tube rows per bundle, [-] tube_passes : int Number of tube passes (times the fluid travels across one tube length), [-] tubes_per_row : float Number of tubes per row per bundle, [-] tube_length : float Total length of the tube bundle tubes, [m] tube_diameter : float Diameter of the bare tube, [m] fin_thickness : float Thickness of the fins, [m] angle : float, optional Angle of the tube layout, [degrees] pitch : float, optional Shortest distance between tube centers; defined in relation to the flow direction only, [m] pitch_parallel : float, optional Distance between tube center along a line parallel to the flow; has been called `longitudinal` pitch, `pp`, `s2`, `SL`, and `p2`, [m] pitch_normal : float, optional Distance between tube centers in a line 90° to the line of flow; has been called the `transverse` pitch, `pn`, `s1`, `ST`, and `p1`, [m] pitch_ratio : float, optional Ratio of the pitch to bare tube diameter, [-] fin_diameter : float, optional Outer diameter of each tube after including the fin on both sides, [m] fin_height : float, optional Height above bare tube of the tube fins, [m] fin_density : float, optional Number of fins per meter of tube, [1/m] fin_interval : float, optional Space between each fin, including the thickness of one fin at its base, [m] parallel_bays : int, optional Number of bays in the unit, [-] bundles_per_bay : int, optional Number of tube bundles per bay, [-] fans_per_bay : int, optional Number of fans per bay, [-] corbels : bool, optional Whether or not the air cooler has corbels, which increase the air velocity by adding half a tube to the sides for the case of non-rectangular tube layouts, [-] tube_thickness : float, optional Thickness of the bare metal tubes, [m] fan_diameter : float, optional Diameter of air cooler fan, [m] Attributes ---------- bare_length : float Length of bare tube between two fins :math:`\text{bare length} = \text{fin interval} - t_{fin}`, [m] tubes_per_bundle : float Total number of tubes per bundle :math:`N_{tubes/bundle} = N_{tubes/row} \cdot N_{rows}`, [-] tubes_per_bay : float Total number of tubes per bay :math:`N_{tubes/bay} = N_{tubes/bundle} \cdot N_{bundles/bay}`, [-] tubes : float Total number of tubes in all bundles in all bays combined :math:`N_{tubes} = N_{tubes/bay} \cdot N_{bays}`, [-] pitch_diagonal : float Distance between tube centers in a diagonal line between one normal tube and one parallel tube; :math:`s_D = \left[s_L^2 + \left(\frac{s_T}{2}\right)^2\right]^{0.5}`, [m] A_bare_tube_per_tube : float Area of the bare tube including the portion hidden by the fin per tube :math:`A_{bare,total/tube} = \pi D_{tube} L_{tube}`, [m^2] A_bare_tube_per_row : float Area of the bare tube including the portion hidden by the fin per tube row :math:`A_{bare,total/row} = \pi D_{tube} L_{tube} N_{tubes/row}`, [m^2] A_bare_tube_per_bundle : float Area of the bare tube including the portion hidden by the fin per bundle :math:`A_{bare,total/bundle} = \pi D_{tube} L_{tube} N_{tubes/bundle}`, [m^2] A_bare_tube_per_bay : float Area of the bare tube including the portion hidden by the fin per bay :math:`A_{bare,total/bay} = \pi D_{tube} L_{tube} N_{tubes/bay}`, [m^2] A_bare_tube : float Area of the bare tube including the portion hidden by the fin per in all bundles and bays combined :math:`A_{bare,total} = \pi D_{tube} L_{tube} N_{tubes}`, [m^2] A_tube_showing_per_tube : float Area of the bare tube which is exposed per tube :math:`A_{bare, showing/tube} = \pi D_{tube} L_{tube} \left(1 - \frac{t_{fin}} {\text{fin interval}} \right)`, [m^2] A_tube_showing_per_row : float Area of the bare tube which is exposed per tube row, [m^2] A_tube_showing_per_bundle : float Area of the bare tube which is exposed per bundle, [m^2] A_tube_showing_per_bay : float Area of the bare tube which is exposed per bay, [m^2] A_tube_showing : float Area of the bare tube which is exposed in all bundles and bays combined, [m^2] A_per_fin : float Surface area per fin :math:`A_{fin} = 2 \frac{\pi}{4} (D_{fin}^2 - D_{tube}^2) + \pi D_{fin} t_{fin}`, [m^2] A_fin_per_tube : float Surface area of all fins per tube :math:`A_{fin/tube} = N_{fins/m} L_{tube} A_{fin}`, [m^2] A_fin_per_row : float Surface area of all fins per row, [m^2] A_fin_per_bundle : float Surface area of all fins per bundle, [m^2] A_fin_per_bay : float Surface area of all fins per bay, [m^2] A_fin : float Surface area of all fins in all bundles and bays combined, [m^2] A_per_tube : float Surface area of combined finned and non-fined area exposed for heat transfer per tube :math:`A_{tube} = A_{bare, showing/tube} + A_{fin/tube}`, [m^2] A_per_row : float Surface area of combined finned and non-finned area exposed for heat transfer per tube row, [m^2] A_per_bundle : float Surface area of combined finned and non-finned area exposed for heat transfer per tube bundle, [m^2] A_per_bay : float Surface area of combined finned and non-finned area exposed for heat transfer per bay, [m^2] A : float Surface area of combined finned and non-finned area exposed for heat transfer in all bundles and bays combined, [m^2] A_increase : float Ratio of actual surface area to bare tube surface area :math:`A_{increase} = \frac{A_{tube}}{A_{bare, total/tube}}`, [-] A_tube_flow : float The area for the fluid to flow in one tube, :math:`\pi/4\cdot D_i^2`, [m^2] channels : int The number of tubes the fluid flows through at the inlet header, [-] tube_volume_per_tube : float Fluid volume per tube inside :math:`V_{tube, flow} = \frac{\pi}{4} D_{i}^2 L_{tube}`, [m^3] tube_volume_per_row : float Fluid volume of tubes per row, [m^3] tube_volume_per_bundle : float Fluid volume of tubes per bundle, [m^3] tube_volume_per_bay : float Fluid volume of tubes per bay, [m^3] tube_volume : float Fluid volume of tubes in all bundles and bays combined, [m^3] A_diagonal_per_bundle : float Air flow area along the diagonal plane per bundle :math:`A_d = 2 N_{tubes/row} L_{tube} (P_d - D_{tube} - 2 N_{fins/m} h_{fin} t_{fin}) + A_\text{extra,side}`, [m^2] A_normal_per_bundle : float Air flow area along the normal (transverse) plane; this is normally the minimum flow area, except for some staggered configurations :math:`A_t = N_{tubes/row} L_{tube} (P_t - D_{tube} - 2 N_{fins/m} h_{fin} t_{fin}) + A_\text{extra,side}`, [m^2] A_min_per_bundle : float Minimum air flow area per bundle; this is the characteristic area for velocity calculation in most finned tube convection correlations :math:`A_{min} = min(A_d, A_t)`, [m^2] A_min_per_bay : float Minimum air flow area per bay, [m^2] A_min : float Minimum air flow area, [m^2] A_face_per_bundle : float Face area per bundle :math:`A_{face} = P_{T} (1+N_{tubes/row}) L_{tube}`; if corbels are used, add 0.5 to tubes/row instead of 1, [m^2] A_face_per_bay : float Face area per bay, [m^2] A_face : float Total face area, [m^2] flow_area_contraction_ratio : float Ratio of `A_min` to `A_face`, [-] Notes ----- Examples -------- >>> AC = AirCooledExchanger(tube_rows=4, tube_passes=4, tubes_per_row=56, tube_length=10.9728, ... tube_diameter=1*inch, fin_thickness=0.013*inch, fin_density=10/inch, ... angle=30, pitch=2.5*inch, fin_height=0.625*inch, tube_thickness=0.00338, ... bundles_per_bay=2, parallel_bays=3, corbels=True) References ---------- .. [1] Schlunder, Ernst U, and International Center for Heat and Mass Transfer. Heat Exchanger Design Handbook. Washington: Hemisphere Pub. Corp., 1983. ''' def __repr__(self): s = '' t = '' for k, v in self.__dict__.items(): try: t += '%s=%g, ' %(k, v) except: t += '%s=%s, ' %(k, v) t = t[0:-2] return s%t def __init__(self, tube_rows, tube_passes, tubes_per_row, tube_length, tube_diameter, fin_thickness, angle=None, pitch=None, pitch_parallel=None, pitch_normal=None, pitch_ratio=None, fin_diameter=None, fin_height=None, fin_density=None, fin_interval=None, parallel_bays=1, bundles_per_bay=1, fans_per_bay=1, corbels=False, tube_thickness=None, fan_diameter=None): # TODO: fin types self.tube_rows = tube_rows self.tube_passes = tube_passes self.tubes_per_row = tubes_per_row self.tube_length = tube_length self.tube_diameter = tube_diameter self.fin_thickness = fin_thickness self.fan_diameter = fan_diameter if pitch_ratio is not None: if pitch is not None: pitch = self.tube_diameter*pitch_ratio else: raise ValueError('Specify only one of `pitch_ratio` or `pitch`') angle, pitch, pitch_parallel, pitch_normal = pitch_angle_solver( angle=angle, pitch=pitch, pitch_parallel=pitch_parallel, pitch_normal=pitch_normal) self.angle = angle self.pitch = pitch self.pitch_parallel = pitch_parallel self.pitch_normal = pitch_normal self.pitch_diagonal = sqrt(pitch_parallel**2 + (0.5*pitch_normal)**2) if fin_diameter is None and fin_height is None: raise ValueError('Specify only one of `fin_diameter` or `fin_height`') elif fin_diameter is not None: fin_height = 0.5*(fin_diameter - tube_diameter) elif fin_height is not None: fin_diameter = tube_diameter + 2.0*fin_height self.fin_height = fin_height self.fin_diameter = fin_diameter if fin_density is None and fin_interval is None: raise ValueError('Specify only one of `fin_density` or `fin_interval`') elif fin_density is not None: fin_interval = 1.0/fin_density elif fin_interval is not None: fin_density = 1.0/fin_interval self.fin_interval = fin_interval self.fin_density = fin_density self.parallel_bays = parallel_bays self.bundles_per_bay = bundles_per_bay self.fans_per_bay = fans_per_bay self.corbels = corbels self.tube_thickness = tube_thickness if self.fin_interval: self.bare_length = self.fin_interval - self.fin_thickness else: self.bare_length = None self.tubes_per_bundle = self.tubes_per_row*self.tube_rows self.tubes_per_bay = self.tubes_per_bundle*self.bundles_per_bay self.tubes = self.tubes_per_bay*self.parallel_bays self.A_bare_tube_per_tube = pi*self.tube_diameter*self.tube_length self.A_bare_tube_per_row = self.A_bare_tube_per_tube*self.tubes_per_row self.A_bare_tube_per_bundle = self.A_bare_tube_per_tube*self.tubes_per_bundle self.A_bare_tube_per_bay = self.A_bare_tube_per_tube*self.tubes_per_bay self.A_bare_tube = self.A_bare_tube_per_tube*self.tubes self.A_tube_showing_per_tube = pi*self.tube_diameter*self.tube_length*(1.0 - self.fin_thickness/self.fin_interval) self.A_tube_showing_per_row = self.A_tube_showing_per_tube*self.tubes_per_row self.A_tube_showing_per_bundle = self.A_tube_showing_per_tube*self.tubes_per_bundle self.A_tube_showing_per_bay = self.A_tube_showing_per_tube*self.tubes_per_bay self.A_tube_showing = self.A_tube_showing_per_tube*self.tubes self.A_per_fin = (2.0*pi/4.0*(self.fin_diameter**2 - self.tube_diameter**2) + pi*self.fin_diameter*self.fin_thickness) # pi*D*L(fin) self.A_fin_per_tube = self.fin_density*self.tube_length*self.A_per_fin self.A_fin_per_row = self.A_fin_per_tube*self.tubes_per_row self.A_fin_per_bundle = self.A_fin_per_tube*self.tubes_per_bundle self.A_fin_per_bay = self.A_fin_per_tube*self.tubes_per_bay self.A_fin = self.A_fin_per_tube*self.tubes self.A_per_tube = self.A_tube_showing_per_tube + self.A_fin_per_tube self.A_per_row = self.A_tube_showing_per_row + self.A_fin_per_row self.A_per_bundle = self.A_tube_showing_per_bundle + self.A_fin_per_bundle self.A_per_bay = self.A_tube_showing_per_bay + self.A_fin_per_bay self.A = self.A_tube_showing + self.A_fin self.A_increase = self.A/self.A_bare_tube # TODO A_extra could be calculated based on a fixed width and height of the bay A_extra = 0.0 self.A_diagonal_per_bundle = 2.0*self.tubes_per_row*self.tube_length*(self.pitch_diagonal - self.tube_diameter - 2.0*fin_density*self.fin_height*self.fin_thickness) + A_extra self.A_normal_per_bundle = self.tubes_per_row*self.tube_length*(self.pitch_normal - self.tube_diameter - 2.0*fin_density*self.fin_height*self.fin_thickness) + A_extra self.A_min_per_bundle = min(self.A_diagonal_per_bundle, self.A_normal_per_bundle) self.A_min_per_bay = self.A_min_per_bundle*self.bundles_per_bay self.A_min = self.A_min_per_bay*self.parallel_bays i = 0.5 if self.corbels else 1.0 self.A_face_per_bundle = self.pitch_normal*self.tube_length*(self.tubes_per_row + i) self.A_face_per_bay = self.A_face_per_bundle*self.bundles_per_bay self.A_face = self.A_face_per_bay*self.parallel_bays self.flow_area_contraction_ratio = self.A_min/self.A_face if self.tube_thickness is not None: self.Di = self.tube_diameter - self.tube_thickness*2.0 self.A_tube_flow = pi/4.0*self.Di*self.Di self.tube_volume_per_tube = self.A_tube_flow*self.tube_length self.tube_volume_per_row = self.tube_volume_per_tube*self.tubes_per_row self.tube_volume_per_bundle = self.tube_volume_per_tube*self.tubes_per_bundle self.tube_volume_per_bay = self.tube_volume_per_tube*self.tubes_per_bay self.tube_volume = self.tube_volume_per_tube*self.tubes else: self.Di = None self.A_tube_flow = None self.tube_volume_per_tube = None self.tube_volume_per_row = None self.tube_volume_per_bundle = None self.tube_volume_per_bay = None self.tube_volume = None # TODO: Support different numbers of tube rows per pass - maybe pass # a list of rows per pass to tube_passes? if self.tube_rows % self.tube_passes == 0: self.channels = self.tubes_per_bundle/self.tube_passes else: self.channels = self.tubes_per_row if self.angle == 30: self.pitch_str = 'triangular' self.pitch_class = 'staggered' elif self.angle == 60: self.pitch_str = 'rotated triangular' self.pitch_class = 'staggered' elif self.angle == 45: self.pitch_str = 'rotated square' self.pitch_class = 'in-line' elif self.angle == 90: self.pitch_str = 'square' self.pitch_class = 'in-line' else: self.pitch_str = 'custom' self.pitch_class = 'custom' def pitch_angle_solver(angle=None, pitch=None, pitch_parallel=None, pitch_normal=None): r'''Utility to take any two of `angle`, `pitch`, `pitch_parallel`, and `pitch_normal` and calculate the other two. This is useful for applications with tube banks, as in shell and tube heat exchangers or air coolers and allows for a wider range of user input. .. math:: \text{pitch normal} = \text{pitch} \cdot \sin(\text{angle}) .. math:: \text{pitch parallel} = \text{pitch} \cdot \cos(\text{angle}) Parameters ---------- angle : float, optional The angle of the tube layout, [degrees] pitch : float, optional The shortest distance between tube centers; defined in relation to the flow direction only, [m] pitch_parallel : float, optional The distance between tube center along a line parallel to the flow; has been called `longitudinal` pitch, `pp`, `s2`, `SL`, and `p2`, [m] pitch_normal : float, optional The distance between tube centers in a line 90° to the line of flow; has been called the `transverse` pitch, `pn`, `s1`, `ST`, and `p1`, [m] Returns ------- angle : float The angle of the tube layout, [degrees] pitch : float The shortest distance between tube centers; defined in relation to the flow direction only, [m] pitch_parallel : float The distance between tube center along a line parallel to the flow; has been called `longitudinal` pitch, `pp`, `s2`, `SL`, and `p2`, [m] pitch_normal : float The distance between tube centers in a line 90° to the line of flow; has been called the `transverse` pitch, `pn`, `s1`, `ST`, and `p1`, [m] Notes ----- For the 90 and 0 degree case, the normal or parallel pitches can be zero; given the angle and the zero value, obviously is it not possible to calculate the pitch and a math error will be raised. No exception will be raised if three or four inputs are provided; the other two will simply be calculated according to the list of if statements used. An exception will be raised if only one input is provided. Examples -------- >>> pitch_angle_solver(pitch=1, angle=30) (30, 1, 0.8660254037844387, 0.49999999999999994) References ---------- .. [1] Schlunder, Ernst U, and International Center for Heat and Mass Transfer. Heat Exchanger Design Handbook. Washington: Hemisphere Pub. Corp., 1983. ''' if angle is not None and pitch is not None: pitch_normal = pitch*sin(radians(angle)) pitch_parallel = pitch*cos(radians(angle)) elif angle is not None and pitch_normal is not None: pitch = pitch_normal/sin(radians(angle)) pitch_parallel = pitch*cos(radians(angle)) elif angle is not None and pitch_parallel is not None: pitch = pitch_parallel/cos(radians(angle)) pitch_normal = pitch*sin(radians(angle)) elif pitch_normal is not None and pitch is not None: angle = degrees(asin(pitch_normal/pitch)) pitch_parallel = pitch*cos(radians(angle)) elif pitch_parallel is not None and pitch is not None: angle = degrees(acos(pitch_parallel/pitch)) pitch_normal = pitch*sin(radians(angle)) elif pitch_parallel is not None and pitch_normal is not None: angle = degrees(asin(pitch_normal/sqrt(pitch_normal**2 + pitch_parallel**2))) pitch = sqrt(pitch_normal**2 + pitch_parallel**2) else: raise ValueError('Two of the arguments are required') return angle, pitch, pitch_parallel, pitch_normal def sphericity(A, V): r'''Returns the sphericity of a particle of surface area `A` and volume `V`. Sphericity is the ratio of the surface area of a sphere with the same volume as the particle (equivalent diameter) to the actual surface area of the particle. .. math:: \Psi = \frac{\text{A of sphere with } V_p } {{A}_p} = \frac{\pi^{\frac{1}{3}}(6V_p)^{\frac{2}{3}}}{A_p} Parameters ---------- A : float Surface area of particle, [m^2] V : float Volume of particle, [m^3] Returns ------- Psi : float Sphericity [-] Notes ----- All non-spherical particles have spericities less than 1 but greater than 0. Many common geometrical shapes have their results calculated exactly in [2]_. Examples -------- >>> sphericity(10., 2.) 0.767663317071005 For a cube of side length a=3, the surface area is 6*a^2=54 and volume a^3=27. Its sphericity is then: >>> sphericity(A=54, V=27) 0.8059959770082346 References ---------- .. [1] Rhodes, Martin J., ed. Introduction to Particle Technology. 2E. Chichester, England ; Hoboken, NJ: Wiley, 2008. .. [2] "Sphericity." Wikipedia, March 8, 2017. https://en.wikipedia.org/w/index.php?title=Sphericity&oldid=769183043 ''' return pi**(1/3.)*(6*V)**(2/3.)/A def aspect_ratio(Dmin, Dmax): r'''Returns the aspect ratio of a shape with minimum and maximum dimension, `Dmin` and `Dmax`. .. math:: A_R = \frac{D_{min}}{D_{max}} Parameters ---------- Dmin : float Minimum dimension, [m] Dmax : float Maximum dimension, [m] Returns ------- a_r : float Aspect ratio [-] Examples -------- >>> aspect_ratio(.2, 2) 0.1 ''' return Dmin/Dmax def circularity(A, P): r'''Returns the circularity of a shape with area `A` and perimeter `P`. .. math:: f_{circ} = \frac {4 \pi A} {P^2} Defined to be 1 for a circle. Used to characterize particles. Any non-circular shape must have a circularity less than one. Parameters ---------- A : float Area of the shape, [m^2] P : float Perimeter of the shape, [m] Returns ------- f_circ : float Circularity of the shape [-] Examples -------- Square, side length = 2 (all squares are the same): >>> circularity(A=(2*2), P=4*2) 0.7853981633974483 Rectangle, one side length = 1, second side length = 100 >>> D1 = 1 >>> D2 = 100 >>> A = D1*D2 >>> P = 2*D1 + 2*D2 >>> circularity(A, P) 0.030796908671598795 ''' return 4*pi*A/P**2 def A_cylinder(D, L): r'''Returns the surface area of a cylinder. .. math:: A = \pi D L + 2\cdot \frac{\pi D^2}{4} Parameters ---------- D : float Diameter of the cylinder, [m] L : float Length of the cylinder, [m] Returns ------- A : float Surface area [m^2] Examples -------- >>> A_cylinder(0.01, .1) 0.0032986722862692833 ''' cap = pi*D**2/4*2 side = pi*D*L return cap + side def V_cylinder(D, L): r'''Returns the volume of a cylinder. .. math:: V = \frac{\pi D^2}{4}L Parameters ---------- D : float Diameter of the cylinder, [m] L : float Length of the cylinder, [m] Returns ------- V : float Volume [m^3] Examples -------- >>> V_cylinder(0.01, .1) 7.853981633974484e-06 ''' return pi*D**2/4*L def A_hollow_cylinder(Di, Do, L): r'''Returns the surface area of a hollow cylinder. .. math:: A = \pi D_o L + \pi D_i L + 2\cdot \frac{\pi D_o^2}{4} - 2\cdot \frac{\pi D_i^2}{4} Parameters ---------- Di : float Diameter of the hollow in the cylinder, [m] Do : float Diameter of the exterior of the cylinder, [m] L : float Length of the cylinder, [m] Returns ------- A : float Surface area [m^2] Examples -------- >>> A_hollow_cylinder(0.005, 0.01, 0.1) 0.004830198704894308 ''' side_o = pi*Do*L side_i = pi*Di*L cap_circle = pi*Do**2/4*2 cap_removed = pi*Di**2/4*2 return side_o + side_i + cap_circle - cap_removed def V_hollow_cylinder(Di, Do, L): r'''Returns the volume of a hollow cylinder. .. math:: V = \frac{\pi D_o^2}{4}L - L\frac{\pi D_i^2}{4} Parameters ---------- Di : float Diameter of the hollow in the cylinder, [m] Do : float Diameter of the exterior of the cylinder, [m] L : float Length of the cylinder, [m] Returns ------- V : float Volume [m^3] Examples -------- >>> V_hollow_cylinder(0.005, 0.01, 0.1) 5.890486225480862e-06 ''' return pi*Do**2/4*L - pi*Di**2/4*L def A_multiple_hole_cylinder(Do, L, holes): r'''Returns the surface area of a cylinder with multiple holes. Calculation will naively return a negative value or other impossible result if the number of cylinders added is physically impossible. Holes may be of different shapes, but must be perpendicular to the axis of the cylinder. .. math:: A = \pi D_o L + 2\cdot \frac{\pi D_o^2}{4} + \sum_{i}^n \left( \pi D_i L - 2\cdot \frac{\pi D_i^2}{4}\right) Parameters ---------- Do : float Diameter of the exterior of the cylinder, [m] L : float Length of the cylinder, [m] holes : list List of tuples containing (diameter, count) pairs of descriptions for each of the holes sizes. Returns ------- A : float Surface area [m^2] Examples -------- >>> A_multiple_hole_cylinder(0.01, 0.1, [(0.005, 1)]) 0.004830198704894308 ''' side_o = pi*Do*L cap_circle = pi*Do**2/4*2 A = cap_circle + side_o for Di, n in holes: side_i = pi*Di*L cap_removed = pi*Di**2/4*2 A = A + side_i*n - cap_removed*n return A def V_multiple_hole_cylinder(Do, L, holes): r'''Returns the solid volume of a cylinder with multiple cylindrical holes. Calculation will naively return a negative value or other impossible result if the number of cylinders added is physically impossible. .. math:: V = \frac{\pi D_o^2}{4}L - L\frac{\pi D_i^2}{4} Parameters ---------- Do : float Diameter of the exterior of the cylinder, [m] L : float Length of the cylinder, [m] holes : list List of tuples containing (diameter, count) pairs of descriptions for each of the holes sizes. Returns ------- V : float Volume [m^3] Examples -------- >>> V_multiple_hole_cylinder(0.01, 0.1, [(0.005, 1)]) 5.890486225480862e-06 ''' V = pi*Do**2/4*L for Di, n in holes: V -= pi*Di*Di/4*L*n return V fluids-1.0.22/fluids/geometry.pyi0000644000175000017500000002612614302004506016255 0ustar nileshnilesh# DO NOT EDIT - AUTOMATICALLY GENERATED BY tests/make_test_stubs.py! from __future__ import annotations from typing import List from numpy import float64 from typing import ( List, Optional, Tuple, Union, ) def A_cylinder(D: float, L: float) -> float: ... def A_hollow_cylinder(Di: float, Do: float, L: float) -> float: ... def A_multiple_hole_cylinder(Do: float, L: float, holes: List[Tuple[float, int]]) -> float: ... def A_partial_circle(D: float, h: float) -> float: ... def SA_conical_head(D: float, a: float) -> float: ... def SA_ellipsoidal_head(D: float, a: float) -> float: ... def SA_from_h( h: float, D: float, L: float, horizontal: bool = ..., sideA: Optional[str] = ..., sideB: Optional[str] = ..., sideA_a: float = ..., sideB_a: float = ..., sideA_f: Optional[float] = ..., sideA_k: Optional[float] = ..., sideB_f: Optional[float] = ..., sideB_k: Optional[float] = ... ) -> float: ... def SA_guppy_head(D: float, a: float) -> float: ... def SA_partial_cylindrical_body(L: float, D: float, h: float) -> float: ... def SA_partial_horiz_conical_head(D: float, a: float, h: float) -> float: ... def SA_partial_horiz_ellipsoidal_head(D: float, a: float, h: float) -> float: ... def SA_partial_horiz_guppy_head(D: float, a: float, h: float) -> float: ... def SA_partial_horiz_spherical_head(D: float, a: float, h: float) -> float: ... def SA_partial_horiz_torispherical_head(D: float, f: float, k: float, h: float) -> float: ... def SA_partial_sphere(D: float, h: float) -> float: ... def SA_partial_vertical_conical_head(D: float, a: float, h: float) -> float: ... def SA_partial_vertical_ellipsoidal_head(D: float, a: float, h: float) -> float: ... def SA_partial_vertical_spherical_head(D: float, a: float, h: float) -> float: ... def SA_partial_vertical_torispherical_head(D: float, f: float, k: float, h: float) -> float: ... def SA_tank( D: float, L: float, sideA: Optional[str] = ..., sideB: Optional[str] = ..., sideA_a: float = ..., sideB_a: float = ..., sideA_f: Optional[float] = ..., sideA_k: Optional[float] = ..., sideB_f: Optional[float] = ..., sideB_k: Optional[float] = ... ) -> Tuple[float, float, float, float]: ... def SA_torispheroidal(D: float, f: float, k: float) -> float: ... def V_cylinder(D: float, L: float) -> float: ... def V_from_h( h: float, D: float, L: float, horizontal: bool = ..., sideA: Optional[str] = ..., sideB: Optional[str] = ..., sideA_a: float = ..., sideB_a: float = ..., sideA_f: Optional[float] = ..., sideA_k: Optional[float] = ..., sideB_f: Optional[float] = ..., sideB_k: Optional[float] = ... ) -> float: ... def V_hollow_cylinder(Di: float, Do: float, L: float) -> float: ... def V_horiz_conical( D: float, L: float, a: float, h: float, headonly: bool = ... ) -> float: ... def V_horiz_ellipsoidal( D: float, L: float, a: float, h: float, headonly: bool = ... ) -> float: ... def V_horiz_guppy( D: float, L: float, a: float, h: float, headonly: bool = ... ) -> float: ... def V_horiz_spherical( D: float, L: float, a: float, h: float, headonly: bool = ... ) -> float: ... def V_horiz_torispherical( D: float, L: float, f: float, k: float, h: float, headonly: bool = ... ) -> float: ... def V_horiz_torispherical_toint_1(x: float, w: float, c10: float, c11: float) -> float: ... def V_horiz_torispherical_toint_2(x: float, w: float, c10: float, c11: float, g: float, g2: float) -> float: ... def V_horiz_torispherical_toint_3(x: float, r2: float, g2: float, z_inv: float) -> float: ... def V_multiple_hole_cylinder(Do: float, L: float, holes: List[Tuple[float, int]]) -> float: ... def V_partial_sphere(D: float, h: float) -> float: ... def V_tank( D: float, L: float, horizontal: bool = ..., sideA: Optional[str] = ..., sideB: Optional[str] = ..., sideA_a: float = ..., sideB_a: float = ..., sideA_f: Optional[float] = ..., sideA_k: Optional[float] = ..., sideB_f: Optional[float] = ..., sideB_k: Optional[float] = ... ) -> Tuple[float, float, float, float]: ... def V_vertical_conical(D: float, a: float, h: float) -> float: ... def V_vertical_conical_concave(D: float, a: float, h: float) -> float: ... def V_vertical_ellipsoidal(D: float, a: float, h: float) -> float: ... def V_vertical_ellipsoidal_concave(D: float, a: float, h: float) -> float: ... def V_vertical_spherical(D: float, a: float, h: float) -> float: ... def V_vertical_spherical_concave(D: float, a: float, h: float) -> float: ... def V_vertical_torispherical(D: float, f: float, k: float, h: float) -> float: ... def V_vertical_torispherical_concave(D: float, f: float, k: float, h: float) -> float: ... def _SA_partial_horiz_ellipsoidal_head_to_int(y: float, c1: float, R2: float, R4: float) -> float: ... def _SA_partial_horiz_guppy_head_to_int(x: float, a: float, R: float) -> float64: ... def _SA_partial_horiz_spherical_head_to_int(x: float, R2: float, a4: float, c1: float, c2: float) -> float: ... def _SA_partial_horiz_torispherical_head_int_1(x: float, b: float, c: float) -> float: ... def _SA_partial_horiz_torispherical_head_int_2(y: float, t2: float, s: float, c1: float) -> float: ... def _SA_partial_horiz_torispherical_head_int_3(y: float, x: float, s: float, t2: float) -> float: ... def _V_horiz_spherical_toint(x: float, r2: float, R2: float, den_inv: float) -> float: ... def a_torispherical(D: float, f: float, k: float) -> float: ... def aspect_ratio(Dmin: float, Dmax: float) -> float: ... def circle_segment_area_inner(h: float, R: float, A_expect: float) -> Tuple[float, float]: ... def circle_segment_h_from_A(A: float, D: float) -> float: ... def circularity(A: float, P: float) -> float: ... def pitch_angle_solver( angle: Optional[float] = ..., pitch: Optional[float] = ..., pitch_parallel: Optional[float] = ..., pitch_normal: Optional[float] = ... ) -> Union[Tuple[float, float, float, float], Tuple[int, float, float, float]]: ... def plate_enlargement_factor(amplitude: float, wavelength: float) -> float: ... def sphericity(A: float, V: float) -> float: ... def tank_from_two_specs_err( guess: List[float], spec0: float, spec1: float, spec0_name: str, spec1_name: str, h: float, horizontal: bool, sideA: None, sideB: None, sideA_a: None, sideB_a: None, sideA_f: None, sideA_k: None, sideB_f: None, sideB_k: None, sideA_a_ratio: None, sideB_a_ratio: None ) -> List[float]: ... class AirCooledExchanger: def __init__( self, tube_rows: int, tube_passes: int, tubes_per_row: int, tube_length: float, tube_diameter: float, fin_thickness: float, angle: Optional[int] = ..., pitch: Optional[float] = ..., pitch_parallel: None = ..., pitch_normal: None = ..., pitch_ratio: None = ..., fin_diameter: None = ..., fin_height: Optional[float] = ..., fin_density: Optional[float] = ..., fin_interval: None = ..., parallel_bays: int = ..., bundles_per_bay: int = ..., fans_per_bay: int = ..., corbels: bool = ..., tube_thickness: Optional[float] = ..., fan_diameter: None = ... ) -> None: ... class HelicalCoil: def __init__( self, Dt: float, Do: Optional[int] = ..., pitch: Optional[float] = ..., H: Optional[int] = ..., N: Optional[float] = ..., H_total: Optional[int] = ..., Do_total: Optional[float] = ..., Di: Optional[float] = ... ) -> None: ... class PlateExchanger: def __init__( self, amplitude: float, wavelength: float, chevron_angle: int = ..., chevron_angles: Optional[Tuple[int, int]] = ..., width: Optional[float] = ..., length: Optional[float] = ..., thickness: None = ..., d_port: Optional[float] = ..., plates: Optional[int] = ... ) -> None: ... @property def plate_exchanger_identifier(self) -> str: ... class RectangularFinExchanger: def __init__( self, fin_height: float, fin_thickness: float, fin_spacing: float, length: Optional[float] = ..., width: Optional[float] = ..., layers: Optional[int] = ..., plate_thickness: Optional[float] = ..., flow: str = ... ) -> None: ... def set_overall_geometry(self) -> None: ... class RectangularOffsetStripFinExchanger: def __init__( self, fin_length: float, fin_height: float, fin_thickness: float, fin_spacing: float, length: None = ..., width: None = ..., layers: None = ..., plate_thickness: None = ..., flow: str = ... ) -> None: ... class TANK: def A_cross_sectional(self, h: float, method: str = ...) -> float: ... def SA_from_h(self, h: float, method: str = ...) -> float: ... def V_from_h(self, h: float, method: str = ...) -> float: ... def _V_solver_error( self, Vtarget: int, D: float, L: float, horizontal: bool, sideA: Optional[str], sideB: Optional[str], sideA_a: Optional[float], sideB_a: Optional[float], sideA_f: Optional[float], sideA_k: Optional[float], sideB_f: Optional[float], sideB_k: Optional[float], sideA_a_ratio: Optional[float], sideB_a_ratio: Optional[float] ) -> float: ... def __init__( self, D: Optional[float] = ..., L: Optional[float] = ..., horizontal: bool = ..., sideA: Optional[str] = ..., sideB: Optional[str] = ..., sideA_a: Optional[float] = ..., sideB_a: Optional[float] = ..., sideA_f: Optional[float] = ..., sideA_k: Optional[float] = ..., sideB_f: Optional[float] = ..., sideB_k: Optional[float] = ..., sideA_a_ratio: Optional[float] = ..., sideB_a_ratio: Optional[float] = ..., L_over_D: Optional[float] = ..., V: Optional[int] = ... ) -> None: ... def _solve_tank_for_V(self) -> None: ... def add_thickness( self, thickness: float, sideA_thickness: None = ..., sideB_thickness: None = ... ) -> TANK: ... @staticmethod def from_two_specs( spec0: float, spec1: float, spec0_name: str = ..., spec1_name: str = ..., h: Optional[float] = ..., horizontal: bool = ..., sideA: None = ..., sideB: None = ..., sideA_a: None = ..., sideB_a: None = ..., sideA_f: None = ..., sideA_k: None = ..., sideB_f: None = ..., sideB_k: None = ..., sideA_a_ratio: None = ..., sideB_a_ratio: None = ... ) -> TANK: ... def h_from_V(self, V: float, method: str = ...) -> float: ... def set_misc(self) -> None: ... def set_table(self, n: int = ..., dx: None = ...) -> None: ... __all__: List[str]fluids-1.0.22/fluids/typing_utils.py0000644000175000017500000000456114302004506017002 0ustar nileshnilesh# -*- coding: utf-8 -*- """Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2020, Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. """ from __future__ import division from inspect import isclass import types try: import importlib.machinery import importlib.util except ImportError: # pragma: no cover raise ImportError('The typing functionality requires a more recent version of Python') __all__ = ['type_module', 'copy_types'] def copy_types(typed_obj, untyped_obj): if isinstance(typed_obj, property): return try: an = typed_obj.__annotations__ except: an = {} untyped_obj.__annotations__ = an if isclass(untyped_obj): for f_name in dir(typed_obj): if len(f_name) > 2 and '__' == f_name[:2]: continue typed_fun = getattr(typed_obj, f_name) untyped_fun = getattr(untyped_obj, f_name) copy_types(typed_fun, untyped_fun) def type_module(mod): loader = importlib.machinery.SourceFileLoader('dummy_module', mod.__file__ + 'i') mod_types = types.ModuleType(loader.name) loader.exec_module(mod_types) for f_name in mod.__all__: if hasattr(mod_types, f_name): untyped_fun = getattr(mod, f_name) typed_fun = getattr(mod_types, f_name) copy_types(typed_fun, untyped_fun) fluids-1.0.22/fluids/constants/0000755000175000017500000000000014302004506015704 5ustar nileshnileshfluids-1.0.22/fluids/constants/constants.py0000644000175000017500000001020214302004506020265 0ustar nileshnilesh# -*- coding: utf-8 -*- """Vendorized, partial version of scipy.constants which does not implement the full codata formulations. This was implemented to provide a consistent set of constants across scipy versions; and to prevent the tests from failing when new CODATA formulations come out. """ import math as _math # mathematical constants pi = _math.pi pi_inv = 1.0/pi golden = golden_ratio = 1.618033988749895 # SI prefixes yotta = 1e24 zetta = 1e21 exa = 1e18 peta = 1e15 tera = 1e12 giga = 1e9 mega = 1e6 kilo = 1e3 hecto = 1e2 deka = 1e1 deci = 1e-1 centi = 1e-2 milli = 1e-3 micro = 1e-6 nano = 1e-9 pico = 1e-12 femto = 1e-15 atto = 1e-18 zepto = 1e-21 # binary prefixes kibi = 2**10 mebi = 2**20 gibi = 2**30 tebi = 2**40 pebi = 2**50 exbi = 2**60 zebi = 2**70 yobi = 2**80 # physical constants c = speed_of_light = 299792458.0 mu_0 = 4e-7*pi epsilon_0 = 1.0 / (mu_0*c*c) h = Planck = 6.62607004e-34 hbar = h / (2.0 * pi) G = gravitational_constant = 6.67408e-11 g = 9.80665 g_sqrt = 3.1315571206669692#_math.sqrt(g) e = elementary_charge = 1.6021766208e-19 alpha = fine_structure = 0.0072973525664 N_A = Avogadro = 6.022140857e+23 k = Boltzmann = 1.38064852e-23 sigma = Stefan_Boltzmann = 5.670367e-08 Wien = 0.0028977729 Rydberg = 10973731.568508 k = 1.380649e-23 N_A = 6.02214076e23 R = gas_constant = N_A*k # 8.31446261815324 exactly now, N_A*k R_inv = 1.0/R R2 = R*R # mass in kg gram = 1e-3 metric_ton = 1e3 grain = 64.79891e-6 lb = pound = 7000 * grain # avoirdupois blob = slinch = pound * g / 0.0254 # lbf*s**2/in (added in 1.0.0) slug = blob / 12 # lbf*s**2/foot (added in 1.0.0) oz = ounce = pound / 16.0 stone = 14.0 * pound long_ton = 2240.0 * pound short_ton = 2000.0 * pound troy_ounce = 480.0 * grain # only for metals / gems troy_pound = 12.0 * troy_ounce carat = 200e-6 m_e = electron_mass = 9.10938356e-31 m_p = proton_mass = 1.672621898e-27 m_n = neutron_mass = 1.674927471e-27 m_u = u = atomic_mass = 1.66053904e-27 # angle in rad degree = pi / 180.0 arcmin = arcminute = degree / 60.0 arcsec = arcsecond = arcmin / 60.0 # time in second minute = 60.0 hour = 60.0 * minute hour_inv = 1.0/hour day = 24.0 * hour week = 7.0 * day year = 365.0 * day Julian_year = 365.25 * day # length in meter inch = 0.0254 inch_inv = 1.0/inch foot = 12 * inch foot_cubed = foot*foot*foot foot_cubed_inv = 1.0/foot_cubed yard = 3 * foot mile = 1760 * yard mil = 0.001*inch pt = point = inch / 72 # typography survey_foot = 1200.0 / 3937 survey_mile = 5280.0 * survey_foot nautical_mile = 1852.0 fermi = 1e-15 angstrom = 1e-10 micron = 1e-6 au = astronomical_unit = 149597870691.0 light_year = Julian_year * c parsec = au / arcsec # pressure in pascal atm = atmosphere = 101325.0 bar = 1e5 torr = mmHg = atm / 760 inchHg = mmHg*inch*1000 torr_inv = 1.0/torr psi = pound * g / (inch * inch) atm_inv = atmosphere_inv = 1.0/atm torr_inv = mmHg_inv = 1.0/torr psi_inv = 1.0/psi # area in meter**2 hectare = 1e4 acre = 43560 * foot*foot # volume in meter**3 litre = liter = 1e-3 gallon = gallon_US = 231.0 * inch*inch*inch # US # pint = gallon_US / 8 fluid_ounce = fluid_ounce_US = gallon_US / 128 bbl = barrel = 42.0 * gallon_US # for oil gallon_imp = 4.54609e-3 # UK fluid_ounce_imp = gallon_imp / 160.0 # speed in meter per second kmh = 1e3 / hour mph = mile / hour mach = speed_of_sound = 340.5 # approx value at 15 degrees in 1 atm. is this a common value? knot = nautical_mile / hour # temperature in kelvin zero_Celsius = 273.15 degree_Fahrenheit = 1.0/1.8 # only for differences # energy in joule eV = electron_volt = elementary_charge # * 1 Volt calorie = calorie_th = 4.184 calorie_IT = 4.1868 erg = 1e-7 Btu_th = pound * degree_Fahrenheit * calorie_th / gram Btu = Btu_IT = pound * degree_Fahrenheit * calorie_IT / gram ton_TNT = 1e9 * calorie_th # Wh = watt_hour # power in watt hp = horsepower = 550.0 * foot * pound * g # force in newton dyn = dyne = 1e-5 lbf = pound_force = pound * g kgf = kilogram_force = g # * 1 kg deg2rad = 0.017453292519943295769 # Multiple an angle in degrees by this to get radians rad2deg = 57.295779513082320877# Multiple an angle in radians by this to get degrees root_two = 1.4142135623730951 ln_10 = _math.log(10) ln_10_inv = 1.0/ln_10fluids-1.0.22/fluids/constants/__init__.py0000644000175000017500000000230314302004506020013 0ustar nileshnilesh# -*- coding: utf-8 -*- """Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2018, Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. """ from .constants import * fluids-1.0.22/fluids/packed_bed.pyi0000644000175000017500000000502714302004506016460 0ustar nileshnilesh# DO NOT EDIT - AUTOMATICALLY GENERATED BY tests/make_test_stubs.py! from __future__ import annotations from typing import List from typing import ( List, Optional, Union, ) def Brauer(dp: float, voidage: float, vs: float, rho: float, mu: float, L: float = ...) -> float: ... def Carman(dp: float, voidage: float, vs: float, rho: float, mu: float, L: float = ...) -> float: ... def Erdim_Akgiray_Demir( dp: float, voidage: float, vs: float, rho: float, mu: float, L: float = ... ) -> float: ... def Ergun(dp: float, voidage: float, vs: float, rho: float, mu: float, L: float = ...) -> float: ... def Fahien_Schriver(dp: float, voidage: float, vs: float, rho: float, mu: float, L: float = ...) -> float: ... def Guo_Sun(dp: float, voidage: float, vs: float, rho: float, mu: float, Dt: float, L: float = ...) -> float: ... def Harrison_Brunner_Hecker( dp: float, voidage: float, vs: float, rho: float, mu: float, L: int = ..., Dt: Optional[float] = ... ) -> float: ... def Hicks(dp: float, voidage: float, vs: float, rho: float, mu: float, L: float = ...) -> float: ... def Idelchik(dp: float, voidage: float, vs: float, rho: float, mu: float, L: float = ...) -> float: ... def Jones_Krier(dp: float, voidage: float, vs: float, rho: float, mu: float, L: float = ...) -> float: ... def KTA(dp: float, voidage: float, vs: float, rho: float, mu: float, L: float = ...) -> float: ... def Kuo_Nydegger(dp: float, voidage: float, vs: float, rho: float, mu: float, L: float = ...) -> float: ... def Montillet_Akkari_Comiti( dp: float, voidage: float, vs: float, rho: float, mu: float, L: float = ..., Dt: Optional[float] = ... ) -> float: ... def Tallmadge(dp: float, voidage: float, vs: float, rho: float, mu: float, L: float = ...) -> float: ... def dP_packed_bed( dp: float, voidage: float, vs: float, rho: float, mu: float, L: int = ..., Dt: Optional[float] = ..., sphericity: Optional[float] = ..., Method: Optional[str] = ... ) -> float: ... def dP_packed_bed_methods( dp: float, voidage: float, vs: float, rho: float, mu: float, L: float = ..., Dt: Optional[float] = ..., check_ranges: bool = ... ) -> List[str]: ... def voidage_Benyahia_Oneil(Dpe: float, Dt: float, sphericity: float) -> float: ... def voidage_Benyahia_Oneil_cylindrical(Dpe: float, Dt: float, sphericity: float) -> float: ... def voidage_Benyahia_Oneil_spherical(Dp: float, Dt: float) -> float: ... __all__: List[str]fluids-1.0.22/fluids/drag.py0000644000175000017500000014020114302004506015155 0ustar nileshnilesh# -*- coding: utf-8 -*- """Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2016, 2017, 2018, 2019, 2020 Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. This module contains correlations for the drag coefficient `Cd` of a particle moving in a fluid. Numerical solvers for terminal velocity and an integrator for particle position over time are included also. For reporting bugs, adding feature requests, or submitting pull requests, please use the `GitHub issue tracker `_ or contact the author at Caleb.Andrew.Bell@gmail.com. .. contents:: :local: Interfaces to Drag Models ------------------------- .. autofunction:: drag_sphere .. autofunction:: v_terminal .. autofunction:: integrate_drag_sphere .. autofunction:: time_v_terminal_Stokes .. autofunction:: drag_sphere_methods Drag Correlations ----------------- .. autofunction:: Stokes .. autofunction:: Barati .. autofunction:: Barati_high .. autofunction:: Khan_Richardson .. autofunction:: Morsi_Alexander .. autofunction:: Rouse .. autofunction:: Engelund_Hansen .. autofunction:: Clift_Gauvin .. autofunction:: Graf .. autofunction:: Flemmer_Banks .. autofunction:: Swamee_Ojha .. autofunction:: Yen .. autofunction:: Haider_Levenspiel .. autofunction:: Cheng .. autofunction:: Terfous .. autofunction:: Mikhailov_Freire .. autofunction:: Clift .. autofunction:: Ceylan .. autofunction:: Almedeij .. autofunction:: Morrison .. autofunction:: Song_Xu """ from __future__ import division from math import sqrt, exp, log, log10, tanh from fluids.constants import g from fluids.numerics import secant from fluids.core import Reynolds __all__ = ['drag_sphere', 'drag_sphere_methods', 'v_terminal', 'integrate_drag_sphere', 'time_v_terminal_Stokes', 'Stokes', 'Barati', 'Barati_high', 'Rouse', 'Engelund_Hansen', 'Clift_Gauvin', 'Morsi_Alexander', 'Graf', 'Flemmer_Banks', 'Khan_Richardson', 'Swamee_Ojha', 'Yen', 'Haider_Levenspiel', 'Cheng', 'Terfous', 'Mikhailov_Freire', 'Clift', 'Ceylan', 'Almedeij', 'Morrison', 'Song_Xu'] def Stokes(Re): r'''Calculates drag coefficient of a smooth sphere using Stoke's law. .. math:: C_D = 24/Re Parameters ---------- Re : float Particle Reynolds number of the sphere using the surrounding fluid density and viscosity, [-] Returns ------- Cd : float Drag coefficient [-] Notes ----- Range is Re <= 0.3 Examples -------- >>> Stokes(0.1) 240.0 References ---------- .. [1] Rhodes, Martin J. Introduction to Particle Technology. Wiley, 2013. ''' return 24./Re def Barati(Re): r'''Calculates drag coefficient of a smooth sphere using the method in [1]_. .. math:: C_D = 5.4856\times10^9\tanh(4.3774\times10^{-9}/Re) + 0.0709\tanh(700.6574/Re) + 0.3894\tanh(74.1539/Re) - 0.1198\tanh(7429.0843/Re) + 1.7174\tanh[9.9851/(Re+2.3384)] + 0.4744 Parameters ---------- Re : float Particle Reynolds number of the sphere using the surrounding fluid density and viscosity, [-] Returns ------- Cd : float Drag coefficient [-] Notes ----- Range is Re <= 2E5 Examples -------- Matching example in [1]_, in a table of calculated values. >>> Barati(200.) 0.7682237950389874 References ---------- .. [1] Barati, Reza, Seyed Ali Akbar Salehi Neyshabouri, and Goodarz Ahmadi. "Development of Empirical Models with High Accuracy for Estimation of Drag Coefficient of Flow around a Smooth Sphere: An Evolutionary Approach." Powder Technology 257 (May 2014): 11-19. doi:10.1016/j.powtec.2014.02.045. ''' Re_inv = 1.0/Re Cd = (5.4856E9*tanh(4.3774E-9*Re_inv) + 0.0709*tanh(700.6574*Re_inv) + 0.3894*tanh(74.1539*Re_inv) - 0.1198*tanh(7429.0843*Re_inv) + 1.7174*tanh(9.9851/(Re + 2.3384)) + 0.4744) return Cd def Barati_high(Re): r'''Calculates drag coefficient of a smooth sphere using the method in [1]_. .. math:: C_D = 8\times 10^{-6}\left[(Re/6530)^2 + \tanh(Re) - 8\ln(Re)/\ln(10)\right] - 0.4119\exp(-2.08\times10^{43}/[Re + Re^2]^4) -2.1344\exp(-\{[\ln(Re^2 + 10.7563)/\ln(10)]^2 + 9.9867\}/Re) +0.1357\exp(-[(Re/1620)^2 + 10370]/Re) - 8.5\times 10^{-3}\{2\ln[\tanh(\tanh(Re))]/\ln(10) - 2825.7162\}/Re + 2.4795 Parameters ---------- Re : float Particle Reynolds number of the sphere using the surrounding fluid density and viscosity, [-] Returns ------- Cd : float Drag coefficient [-] Notes ----- Range is Re <= 1E6 This model is the wider-range model the authors developed. At sufficiently low diameters or Re values, drag is no longer a phenomena. Examples -------- Matching example in [1]_, in a table of calculated values. >>> Barati_high(200.) 0.7730544082789523 References ---------- .. [1] Barati, Reza, Seyed Ali Akbar Salehi Neyshabouri, and Goodarz Ahmadi. "Development of Empirical Models with High Accuracy for Estimation of Drag Coefficient of Flow around a Smooth Sphere: An Evolutionary Approach." Powder Technology 257 (May 2014): 11-19. doi:10.1016/j.powtec.2014.02.045. ''' Re2 = Re*Re t0 = 1.0/Re t1 = Re*(1.0/6530.) t2 = Re*(1.0/1620) t3 = log10(Re2 + 10.7563) t4 = 1.0/(Re+Re2) t4 *= t4 t4 *= t4 tanhRe = tanh(Re) Cd = (8E-6*(t1*t1 + tanhRe - 8.0*log10(Re)) - 0.4119*exp(-2.08E43*t4) - 2.1344*exp(-t0*(t3*t3 + 9.9867)) + 0.1357*exp(-t0*(t2*t2 + 10370.)) - 8.5E-3*t0*(2.0*log10(tanh(tanhRe)) - 2825.7162) + 2.4795) return Cd def Rouse(Re): r'''Calculates drag coefficient of a smooth sphere using the method in [1]_ as described in [2]_. .. math:: C_D = \frac{24}{Re} + \frac{3}{Re^{0.5}} + 0.34 Parameters ---------- Re : float Particle Reynolds number of the sphere using the surrounding fluid density and viscosity, [-] Returns ------- Cd : float Drag coefficient [-] Notes ----- Range is Re <= 2E5 Examples -------- >>> Rouse(200.) 0.6721320343559642 References ---------- .. [1] H. Rouse, Fluid Mechanics for Hydraulic Engineers, Dover, New York, N.Y., 1938 .. [2] Barati, Reza, Seyed Ali Akbar Salehi Neyshabouri, and Goodarz Ahmadi. "Development of Empirical Models with High Accuracy for Estimation of Drag Coefficient of Flow around a Smooth Sphere: An Evolutionary Approach." Powder Technology 257 (May 2014): 11-19. doi:10.1016/j.powtec.2014.02.045. ''' return 24./Re + 3/sqrt(Re) + 0.34 def Engelund_Hansen(Re): r'''Calculates drag coefficient of a smooth sphere using the method in [1]_ as described in [2]_. .. math:: C_D = \frac{24}{Re} + 1.5 Parameters ---------- Re : float Particle Reynolds number of the sphere using the surrounding fluid density and viscosity, [-] Returns ------- Cd : float Drag coefficient [-] Notes ----- Range is Re <= 2E5 Examples -------- >>> Engelund_Hansen(200.) 1.62 References ---------- .. [1] F. Engelund, E. Hansen, Monograph on Sediment Transport in Alluvial Streams, Monograpsh Denmark Technical University, Hydraulic Lab, Denmark, 1967. .. [2] Barati, Reza, Seyed Ali Akbar Salehi Neyshabouri, and Goodarz Ahmadi. "Development of Empirical Models with High Accuracy for Estimation of Drag Coefficient of Flow around a Smooth Sphere: An Evolutionary Approach." Powder Technology 257 (May 2014): 11-19. doi:10.1016/j.powtec.2014.02.045. ''' return 24./Re + 1.5 def Clift_Gauvin(Re): r'''Calculates drag coefficient of a smooth sphere using the method in [1]_ as described in [2]_. .. math:: C_D = \frac{24}{Re}(1 + 0.152Re^{0.677}) + \frac{0.417} {1 + 5070Re^{-0.94}} Parameters ---------- Re : float Particle Reynolds number of the sphere using the surrounding fluid density and viscosity, [-] Returns ------- Cd : float Drag coefficient [-] Notes ----- Range is Re <= 2E5 Examples -------- >>> Clift_Gauvin(200.) 0.7905400398000133 References ---------- .. [1] R. Clift, W.H. Gauvin, The motion of particles in turbulent gas streams, Proc. Chemeca, 70, 1970, pp. 14-28. .. [2] Barati, Reza, Seyed Ali Akbar Salehi Neyshabouri, and Goodarz Ahmadi. "Development of Empirical Models with High Accuracy for Estimation of Drag Coefficient of Flow around a Smooth Sphere: An Evolutionary Approach." Powder Technology 257 (May 2014): 11-19. doi:10.1016/j.powtec.2014.02.045. ''' return 24./Re*(1 + 0.152*Re**0.677) + 0.417/(1 + 5070*Re**-0.94) def Morsi_Alexander(Re): r'''Calculates drag coefficient of a smooth sphere using the method in [1]_ as described in [2]_. If Re < 0.1: .. math:: C_D = \frac{24}{Re} If 0.1 < Re < 1: .. math:: C_D = \frac{22.73}{Re}+\frac{0.0903}{Re^2} + 3.69 If 1 < Re < 10: .. math:: C_D = \frac{29.1667}{Re}-\frac{3.8889}{Re^2} + 1.2220 If 10 < Re < 100: .. math:: C_D =\frac{46.5}{Re}-\frac{116.67}{Re^2} + 0.6167 If 100 < Re < 1000: .. math:: C_D = \frac{98.33}{Re}-\frac{2778}{Re^2} + 0.3644 If 1000 < Re < 5000: .. math:: C_D = \frac{148.62}{Re}-\frac{4.75\times10^4}{Re^2} + 0.3570 If 5000 < Re < 10000: .. math:: C_D = \frac{-490.5460}{Re}+\frac{57.87\times10^4}{Re^2} + 0.46 If 10000 < Re < 50000: .. math:: C_D = \frac{-1662.5}{Re}+\frac{5.4167\times10^6}{Re^2} + 0.5191 Parameters ---------- Re : float Particle Reynolds number of the sphere using the surrounding fluid density and viscosity, [-] Returns ------- Cd : float Drag coefficient [-] Notes ----- Range is Re <= 2E5. Original was reviewed, and confirmed to contain the cited equations. Examples -------- >>> Morsi_Alexander(200) 0.7866 References ---------- .. [1] Morsi, S. A., and A. J. Alexander. "An Investigation of Particle Trajectories in Two-Phase Flow Systems." Journal of Fluid Mechanics 55, no. 02 (September 1972): 193-208. doi:10.1017/S0022112072001806. .. [2] Barati, Reza, Seyed Ali Akbar Salehi Neyshabouri, and Goodarz Ahmadi. "Development of Empirical Models with High Accuracy for Estimation of Drag Coefficient of Flow around a Smooth Sphere: An Evolutionary Approach." Powder Technology 257 (May 2014): 11-19. doi:10.1016/j.powtec.2014.02.045. ''' if Re < 0.1: return 24./Re elif Re < 1: return 22.73/Re + 0.0903/Re**2 + 3.69 elif Re < 10: return 29.1667/Re - 3.8889/Re**2 + 1.222 elif Re < 100: return 46.5/Re - 116.67/Re**2 + 0.6167 elif Re < 1000: return 98.33/Re - 2778./Re**2 + 0.3644 elif Re < 5000: return 148.62/Re - 4.75E4/Re**2 + 0.357 elif Re < 10000: return -490.546/Re + 57.87E4/Re**2 + 0.46 else: return -1662.5/Re + 5.4167E6/Re**2 + 0.5191 def Graf(Re): r'''Calculates drag coefficient of a smooth sphere using the method in [1]_ as described in [2]_. .. math:: C_D = \frac{24}{Re} + \frac{7.3}{1+Re^{0.5}} + 0.25 Parameters ---------- Re : float Particle Reynolds number of the sphere using the surrounding fluid density and viscosity, [-] Returns ------- Cd : float Drag coefficient [-] Notes ----- Range is Re <= 2E5 Examples -------- >>> Graf(200.) 0.8520984424785725 References ---------- .. [1] W.H. Graf, Hydraulics of Sediment Transport, Water Resources Publications, Littleton, Colorado, 1984. .. [2] Barati, Reza, Seyed Ali Akbar Salehi Neyshabouri, and Goodarz Ahmadi. "Development of Empirical Models with High Accuracy for Estimation of Drag Coefficient of Flow around a Smooth Sphere: An Evolutionary Approach." Powder Technology 257 (May 2014): 11-19. doi:10.1016/j.powtec.2014.02.045. ''' return 24./Re + 7.3/(1 + sqrt(Re)) + 0.25 def Flemmer_Banks(Re): r'''Calculates drag coefficient of a smooth sphere using the method in [1]_ as described in [2]_. .. math:: C_D = \frac{24}{Re}10^E .. math:: E = 0.383Re^{0.356}-0.207Re^{0.396} - \frac{0.143}{1+(\log_{10} Re)^2} Parameters ---------- Re : float Particle Reynolds number of the sphere using the surrounding fluid density and viscosity, [-] Returns ------- Cd : float Drag coefficient [-] Notes ----- Range is Re <= 2E5 Examples -------- >>> Flemmer_Banks(200.) 0.7849169609270039 References ---------- .. [1] Flemmer, R. L. C., and C. L. Banks. "On the Drag Coefficient of a Sphere." Powder Technology 48, no. 3 (November 1986): 217-21. doi:10.1016/0032-5910(86)80044-4. .. [2] Barati, Reza, Seyed Ali Akbar Salehi Neyshabouri, and Goodarz Ahmadi. "Development of Empirical Models with High Accuracy for Estimation of Drag Coefficient of Flow around a Smooth Sphere: An Evolutionary Approach." Powder Technology 257 (May 2014): 11-19. doi:10.1016/j.powtec.2014.02.045. ''' E = 0.383*Re**0.356 - 0.207*Re**0.396 - 0.143/(1 + (log10(Re))**2) return 24./Re*10**E def Khan_Richardson(Re): r'''Calculates drag coefficient of a smooth sphere using the method in [1]_ as described in [2]_. .. math:: C_D = (2.49Re^{-0.328} + 0.34Re^{0.067})^{3.18} Parameters ---------- Re : float Particle Reynolds number of the sphere using the surrounding fluid density and viscosity, [-] Returns ------- Cd : float Drag coefficient [-] Notes ----- Range is Re <= 2E5 Examples -------- >>> Khan_Richardson(200.) 0.7747572379211097 References ---------- .. [1] Khan, A. R., and J. F. Richardson. "The Resistance to Motion of a Solid Sphere in a Fluid." Chemical Engineering Communications 62, no. 1-6 (December 1, 1987): 135-50. doi:10.1080/00986448708912056. .. [2] Barati, Reza, Seyed Ali Akbar Salehi Neyshabouri, and Goodarz Ahmadi. "Development of Empirical Models with High Accuracy for Estimation of Drag Coefficient of Flow around a Smooth Sphere: An Evolutionary Approach." Powder Technology 257 (May 2014): 11-19. doi:10.1016/j.powtec.2014.02.045. ''' return (2.49*Re**-0.328 + 0.34*Re**0.067)**3.18 def Swamee_Ojha(Re): r'''Calculates drag coefficient of a smooth sphere using the method in [1]_ as described in [2]_. .. math:: C_D = 0.5\left\{16\left[(\frac{24}{Re})^{1.6} + (\frac{130}{Re})^{0.72} \right]^{2.5}+ \left[\left(\frac{40000}{Re}\right)^2 + 1\right]^{-0.25} \right\}^{0.25} Parameters ---------- Re : float Particle Reynolds number of the sphere using the surrounding fluid density and viscosity, [-] Returns ------- Cd : float Drag coefficient [-] Notes ----- Range is Re <= 1.5E5 Examples -------- >>> Swamee_Ojha(200.) 0.8490012397545713 References ---------- .. [1] Swamee, P. and Ojha, C. (1991). "Drag Coefficient and Fall Velocity of nonspherical particles." J. Hydraul. Eng., 117(5), 660-667. .. [2] Barati, Reza, Seyed Ali Akbar Salehi Neyshabouri, and Goodarz Ahmadi. "Development of Empirical Models with High Accuracy for Estimation of Drag Coefficient of Flow around a Smooth Sphere: An Evolutionary Approach." Powder Technology 257 (May 2014): 11-19. doi:10.1016/j.powtec.2014.02.045. ''' Cd = 0.5*sqrt(sqrt(16*((24./Re)**1.6 + (130./Re)**0.72)**2.5 + 1.0/sqrt(sqrt((40000./Re)**2 + 1)))) return Cd def Yen(Re): r'''Calculates drag coefficient of a smooth sphere using the method in [1]_ as described in [2]_. .. math:: C_D = \frac{24}{Re}\left(1 + 0.15\sqrt{Re} + 0.017Re\right) - \frac{0.208}{1+10^4Re^{-0.5}} Parameters ---------- Re : float Particle Reynolds number of the sphere using the surrounding fluid density and viscosity, [-] Returns ------- Cd : float Drag coefficient [-] Notes ----- Range is Re <= 2E5 Examples -------- >>> Yen(200.) 0.7822647002187014 References ---------- .. [1] B.C. Yen, Sediment Fall Velocity in Oscillating Flow, University of Virginia, Department of Civil Engineering, 1992. .. [2] Barati, Reza, Seyed Ali Akbar Salehi Neyshabouri, and Goodarz Ahmadi. "Development of Empirical Models with High Accuracy for Estimation of Drag Coefficient of Flow around a Smooth Sphere: An Evolutionary Approach." Powder Technology 257 (May 2014): 11-19. doi:10.1016/j.powtec.2014.02.045. ''' return 24./Re*(1 + 0.15*sqrt(Re) + 0.017*Re) - 0.208/(1 + 1E4*1.0/sqrt(Re)) def Haider_Levenspiel(Re): r'''Calculates drag coefficient of a smooth sphere using the method in [1]_ as described in [2]_. .. math:: C_D=\frac{24}{Re}(1+0.1806Re^{0.6459})+\left(\frac{0.4251}{1 +\frac{6880.95}{Re}}\right) Parameters ---------- Re : float Particle Reynolds number of the sphere using the surrounding fluid density and viscosity, [-] Returns ------- Cd : float Drag coefficient [-] Notes ----- Range is Re <= 2E5 An improved version of this correlation is in Brown and Lawler. Examples -------- >>> Haider_Levenspiel(200.) 0.7959551680251666 References ---------- .. [1] Haider, A., and O. Levenspiel. "Drag Coefficient and Terminal Velocity of Spherical and Nonspherical Particles." Powder Technology 58, no. 1 (May 1989): 63-70. doi:10.1016/0032-5910(89)80008-7. .. [2] Barati, Reza, Seyed Ali Akbar Salehi Neyshabouri, and Goodarz Ahmadi. "Development of Empirical Models with High Accuracy for Estimation of Drag Coefficient of Flow around a Smooth Sphere: An Evolutionary Approach." Powder Technology 257 (May 2014): 11-19. doi:10.1016/j.powtec.2014.02.045. ''' return 24./Re*(1 + 0.1806*Re**0.6459) + (0.4251/(1 + 6880.95/Re)) def Cheng(Re): r'''Calculates drag coefficient of a smooth sphere using the method in [1]_ as described in [2]_. .. math:: C_D=\frac{24}{Re}(1+0.27Re)^{0.43}+0.47[1-\exp(-0.04Re^{0.38})] Parameters ---------- Re : float Particle Reynolds number of the sphere using the surrounding fluid density and viscosity, [-] Returns ------- Cd : float Drag coefficient [-] Notes ----- Range is Re <= 2E5 Examples -------- >>> Cheng(200.) 0.7939143028294227 References ---------- .. [1] Cheng, Nian-Sheng. "Comparison of Formulas for Drag Coefficient and Settling Velocity of Spherical Particles." Powder Technology 189, no. 3 (February 13, 2009): 395-398. doi:10.1016/j.powtec.2008.07.006. .. [2] Barati, Reza, Seyed Ali Akbar Salehi Neyshabouri, and Goodarz Ahmadi. "Development of Empirical Models with High Accuracy for Estimation of Drag Coefficient of Flow around a Smooth Sphere: An Evolutionary Approach." Powder Technology 257 (May 2014): 11-19. doi:10.1016/j.powtec.2014.02.045. ''' return 24./Re*(1. + 0.27*Re)**0.43 + 0.47*(1. - exp(-0.04*Re**0.38)) def Terfous(Re): r'''Calculates drag coefficient of a smooth sphere using the method in [1]_ as described in [2]_. .. math:: C_D = 2.689 + \frac{21.683}{Re} + \frac{0.131}{Re^2} - \frac{10.616}{Re^{0.1}} + \frac{12.216}{Re^{0.2}} Parameters ---------- Re : float Particle Reynolds number of the sphere using the surrounding fluid density and viscosity, [-] Returns ------- Cd : float Drag coefficient [-] Notes ----- Range is 0.1 < Re <= 5E4 Examples -------- >>> Terfous(200.) 0.7814651149769638 References ---------- .. [1] Terfous, A., A. Hazzab, and A. Ghenaim. "Predicting the Drag Coefficient and Settling Velocity of Spherical Particles." Powder Technology 239 (May 2013): 12-20. doi:10.1016/j.powtec.2013.01.052. .. [2] Barati, Reza, Seyed Ali Akbar Salehi Neyshabouri, and Goodarz Ahmadi. "Development of Empirical Models with High Accuracy for Estimation of Drag Coefficient of Flow around a Smooth Sphere: An Evolutionary Approach." Powder Technology 257 (May 2014): 11-19. doi:10.1016/j.powtec.2014.02.045. ''' return 2.689 + 21.683/Re + 0.131/Re**2 - 10.616/Re**0.1 + 12.216/Re**0.2 def Mikhailov_Freire(Re): r'''Calculates drag coefficient of a smooth sphere using the method in [1]_ as described in [2]_. .. math:: C_D = \frac{3808[(1617933/2030) + (178861/1063)Re + (1219/1084)Re^2]} {681Re[(77531/422) + (13529/976)Re - (1/71154)Re^2]} Parameters ---------- Re : float Particle Reynolds number of the sphere using the surrounding fluid density and viscosity, [-] Returns ------- Cd : float Drag coefficient [-] Notes ----- Range is Re <= 118300 Examples -------- >>> Mikhailov_Freire(200.) 0.7514111388018659 References ---------- .. [1] Mikhailov, M. D., and A. P. Silva Freire. "The Drag Coefficient of a Sphere: An Approximation Using Shanks Transform." Powder Technology 237 (March 2013): 432-35. doi:10.1016/j.powtec.2012.12.033. .. [2] Barati, Reza, Seyed Ali Akbar Salehi Neyshabouri, and Goodarz Ahmadi. "Development of Empirical Models with High Accuracy for Estimation of Drag Coefficient of Flow around a Smooth Sphere: An Evolutionary Approach." Powder Technology 257 (May 2014): 11-19. doi:10.1016/j.powtec.2014.02.045. ''' Cd = (3808.*((1617933./2030.) + (178861./1063.)*Re + (1219./1084.)*Re**2) /(681.*Re*((77531./422.) + (13529./976.)*Re - (1./71154.)*Re**2))) return Cd def Clift(Re): r'''Calculates drag coefficient of a smooth sphere using the method in [1]_ as described in [2]_. If Re < 0.01: .. math:: C_D = \frac{24}{Re} + \frac{3}{16} If 0.01 < Re < 20: .. math:: C_D = \frac{24}{Re}(1 + 0.1315Re^{0.82 - 0.05\log_{10} Re}) If 20 < Re < 260: .. math:: C_D = \frac{24}{Re}(1 + 0.1935Re^{0.6305}) If 260 < Re < 1500: .. math:: C_D = 10^{[1.6435 - 1.1242\log_{10} Re + 0.1558[\log_{10} Re]^2} If 1500 < Re < 12000: .. math:: C_D = 10^{[-2.4571 + 2.5558\log_{10} Re - 0.9295[\log_{10} Re]^2 + 0.1049[\log_{10} Re]^3} If 12000 < Re < 44000: .. math:: C_D = 10^{[-1.9181 + 0.6370\log_{10} Re - 0.0636[\log_{10} Re]^2} If 44000 < Re < 338000: .. math:: C_D = 10^{[-4.3390 + 1.5809\log_{10} Re - 0.1546[\log_{10} Re]^2} If 338000 < Re < 400000: .. math:: C_D = 9.78 - 5.3\log_{10} Re If 400000 < Re < 1000000: .. math:: C_D = 0.19\log_{10} Re - 0.49 Parameters ---------- Re : float Particle Reynolds number of the sphere using the surrounding fluid density and viscosity, [-] Returns ------- Cd : float Drag coefficient [-] Notes ----- Range is Re <= 1E6. Examples -------- >>> Clift(200) 0.7756342422322543 References ---------- .. [1] R. Clift, J.R. Grace, M.E. Weber, Bubbles, Drops, and Particles, Academic, New York, 1978. .. [2] Barati, Reza, Seyed Ali Akbar Salehi Neyshabouri, and Goodarz Ahmadi. "Development of Empirical Models with High Accuracy for Estimation of Drag Coefficient of Flow around a Smooth Sphere: An Evolutionary Approach." Powder Technology 257 (May 2014): 11-19. doi:10.1016/j.powtec.2014.02.045. ''' if Re < 0.01: return 24./Re + 3/16. elif Re < 20: return 24./Re*(1 + 0.1315*Re**(0.82 - 0.05*log10(Re))) elif Re < 260: return 24./Re*(1 + 0.1935*Re**(0.6305)) elif Re < 1500: return 10**(1.6435 - 1.1242*log10(Re) + 0.1558*(log10(Re))**2) elif Re < 12000: return 10**(-2.4571 + 2.5558*log10(Re) - 0.9295*(log10(Re))**2 + 0.1049*log10(Re)**3) elif Re < 44000: return 10**(-1.9181 + 0.6370*log10(Re) - 0.0636*(log10(Re))**2) elif Re < 338000: return 10**(-4.3390 + 1.5809*log10(Re) - 0.1546*(log10(Re))**2) elif Re < 400000: return 29.78 - 5.3*log10(Re) else: return 0.19*log10(Re) - 0.49 def Ceylan(Re): r'''Calculates drag coefficient of a smooth sphere using the method in [1]_ as described in [2]_. .. math:: C_D = 1 - 0.5\exp(0.182) + 10.11Re^{-2/3}\exp(0.952Re^{-1/4}) - 0.03859Re^{-4/3}\exp(1.30Re^{-1/2}) + 0.037\times10^{-4}Re\exp(-0.125\times10^{-4}Re) -0.116\times10^{-10}Re^2\exp(-0.444\times10^{-5}Re) Parameters ---------- Re : float Particle Reynolds number of the sphere using the surrounding fluid density and viscosity, [-] Returns ------- Cd : float Drag coefficient [-] Notes ----- Range is 0.1 < Re <= 1E6 Original article reviewed. Examples -------- >>> Ceylan(200.) 0.7816735980280175 References ---------- .. [1] Ceylan, Kadim, AyÅŸe AltunbaÅŸ, and Gudret Kelbaliyev. "A New Model for Estimation of Drag Force in the Flow of Newtonian Fluids around Rigid or Deformable Particles." Powder Technology 119, no. 2-3 (September 24, 2001): 250-56. doi:10.1016/S0032-5910(01)00261-3. .. [2] Barati, Reza, Seyed Ali Akbar Salehi Neyshabouri, and Goodarz Ahmadi. "Development of Empirical Models with High Accuracy for Estimation of Drag Coefficient of Flow around a Smooth Sphere: An Evolutionary Approach." Powder Technology 257 (May 2014): 11-19. doi:10.1016/j.powtec.2014.02.045. ''' Cd = (1 - 0.5*exp(0.182) + 10.11*Re**(-2/3.)*exp(0.952/sqrt(sqrt(Re))) - 0.03859*Re**(-4/3.)*exp(1.30/sqrt(Re)) + 0.037E-4*Re*exp(-0.125E-4*Re) - 0.116E-10*Re**2*exp(-0.444E-5*Re)) return Cd def Almedeij(Re): r'''Calculates drag coefficient of a smooth sphere using the method in [1]_ as described in [2]_. .. math:: C_D = \left[\frac{1}{(\phi_1 + \phi_2)^{-1} + (\phi_3)^{-1}} + \phi_4\right]^{0.1} .. math:: \phi_1 = (24Re^{-1})^{10} + (21Re^{-0.67})^{10} + (4Re^{-0.33})^{10} + 0.4^{10} .. math:: \phi_2 = \left[(0.148Re^{0.11})^{-10} + (0.5)^{-10}\right]^{-1} .. math:: \phi_3 = (1.57\times10^8Re^{-1.625})^{10} .. math:: \phi_4 = \left[(6\times10^{-17}Re^{2.63})^{-10} + (0.2)^{-10}\right]^{-1} Parameters ---------- Re : float Particle Reynolds number of the sphere using the surrounding fluid density and viscosity, [-] Returns ------- Cd : float Drag coefficient [-] Notes ----- Range is Re <= 1E6. Original work has been reviewed. Examples -------- >>> Almedeij(200.) 0.7114768646813396 References ---------- .. [1] Almedeij, Jaber. "Drag Coefficient of Flow around a Sphere: Matching Asymptotically the Wide Trend." Powder Technology 186, no. 3 (September 10, 2008): 218-23. doi:10.1016/j.powtec.2007.12.006. .. [2] Barati, Reza, Seyed Ali Akbar Salehi Neyshabouri, and Goodarz Ahmadi. "Development of Empirical Models with High Accuracy for Estimation of Drag Coefficient of Flow around a Smooth Sphere: An Evolutionary Approach." Powder Technology 257 (May 2014): 11-19. doi:10.1016/j.powtec.2014.02.045. ''' phi4 = ((6E-17*Re**2.63)**-10 + 0.2**-10)**-1 phi3 = (1.57E8*Re**-1.625)**10 phi2 = ((0.148*Re**0.11)**-10 + 0.5**-10)**-1 phi1 = (24*Re**-1)**10 + (21*Re**-0.67)**10 + (4*Re**-0.33)**10 + 0.4**10 return (1/((phi1 + phi2)**-1 + phi3**-1) + phi4)**0.1 def Morrison(Re): r'''Calculates drag coefficient of a smooth sphere using the method in [1]_ as described in [2]_. .. math:: C_D = \frac{24}{Re} + \frac{2.6Re/5}{1 + \left(\frac{Re}{5}\right)^{1.52}} + \frac{0.411 \left(\frac{Re}{263000}\right)^{-7.94}}{1 + \left(\frac{Re}{263000}\right)^{-8}} + \frac{Re^{0.8}}{461000} Parameters ---------- Re : float Particle Reynolds number of the sphere using the surrounding fluid density and viscosity, [-] Returns ------- Cd : float Drag coefficient [-] Notes ----- Range is Re <= 1E6. Examples -------- >>> Morrison(200.) 0.767731559965325 References ---------- .. [1] Morrison, Faith A. An Introduction to Fluid Mechanics. Cambridge University Press, 2013. .. [2] Barati, Reza, Seyed Ali Akbar Salehi Neyshabouri, and Goodarz Ahmadi. "Development of Empirical Models with High Accuracy for Estimation of Drag Coefficient of Flow around a Smooth Sphere: An Evolutionary Approach." Powder Technology 257 (May 2014): 11-19. doi:10.1016/j.powtec.2014.02.045. ''' Cd = (24./Re + 2.6*Re/5./(1 + (Re/5.)**1.52) + 0.411*(Re/263000.)**-7.94/(1 + (Re/263000.)**-8) + Re**0.8/461000.) return Cd def Song_Xu(Re, sphericity=1., S=1.): r'''Calculates drag coefficient of a particle using the method in [1]_. Developed with data for spheres, cubes, and cylinders. Claims 3.52% relative error for 0.001 < Re < 100 based on 336 tests data. .. math:: C_d = \frac{24}{Re\phi^{0.65}S^{0.3}}\left(1 + 0.35Re\right)^{0.44} Parameters ---------- Re : float Particle Reynolds number of the sphere using the surrounding fluid density and viscosity, [-] sphericity : float, optional Sphericity of the particle S : float, optional Ratio of equivalent sphere area and the projected area in the particle settling direction [-] Returns ------- Cd : float Drag coefficient of particle [-] Notes ----- Notable as its experimental data and analysis is included in their supporting material. Examples -------- >>> Song_Xu(30.) 2.3431335190092444 References ---------- .. [1] Song, Xianzhi, Zhengming Xu, Gensheng Li, Zhaoyu Pang, and Zhaopeng Zhu. "A New Model for Predicting Drag Coefficient and Settling Velocity of Spherical and Non-Spherical Particle in Newtonian Fluid." Powder Technology 321 (November 2017): 242-50. doi:10.1016/j.powtec.2017.08.017. ''' return 24/(Re*sphericity**0.65*S**0.3)*(1+0.35*Re)**0.44 drag_sphere_correlations = { 'Stokes': (Stokes, None, 0.3), 'Barati': (Barati, None, 2E5), 'Barati_high': (Barati_high, None, 1E6), 'Rouse': (Rouse, None, 2E5), 'Engelund_Hansen': (Engelund_Hansen, None, 2E5), 'Clift_Gauvin': (Clift_Gauvin, None, 2E5), 'Morsi_Alexander': (Morsi_Alexander, None, 2E5), 'Graf': (Graf, None, 2E5), 'Flemmer_Banks': (Flemmer_Banks, None, 2E5), 'Khan_Richardson': (Khan_Richardson, None, 2E5), 'Swamee_Ojha': (Swamee_Ojha, None, 1.5E5), 'Yen': (Yen, None, 2E5), 'Haider_Levenspiel': (Haider_Levenspiel, None, 2E5), 'Cheng': (Cheng, None, 2E5), 'Terfous': (Terfous, 0.1, 5E4), 'Mikhailov_Freire': (Mikhailov_Freire, None, 118300), 'Clift': (Clift, None, 1E6), 'Ceylan': (Ceylan, 0.1, 1E6), 'Almedeij': (Almedeij, None, 1E6), 'Morrison': (Morrison, None, 1E6), 'Song_Xu': (Song_Xu, None, 1E3) } def drag_sphere_methods(Re, check_ranges=True): r'''This function returns a list of methods that can be used to calculate the drag coefficient of a sphere. Twenty one methods are available, all requiring only the Reynolds number of the sphere. Most methods are valid from Re=0 to Re=200,000. Examples -------- >>> len(drag_sphere_methods(200)) 20 >>> len(drag_sphere_methods(200000, check_ranges=False)) 21 >>> len(drag_sphere_methods(200000, check_ranges=True)) 5 Parameters ---------- Re : float Particle Reynolds number of the sphere using the surrounding fluid density and viscosity, [-] check_ranges : bool, optional Whether to return only correlations claiming to be valid for the given `Re` or not, [-] Returns ------- methods : list, only returned if AvailableMethods == True List of methods which can be used to calculate `Cd` with the given `Re` ''' methods = [] for key, (func, Re_min, Re_max) in drag_sphere_correlations.items(): if ((Re_min is None or Re > Re_min) and (Re_max is None or Re < Re_max)) or not check_ranges: methods.append(key) return methods def drag_sphere(Re, Method=None): r'''This function handles calculation of drag coefficient on spheres. Twenty methods are available, all requiring only the Reynolds number of the sphere. Most methods are valid from Re=0 to Re=200,000. A correlation will be automatically selected if none is specified. If no correlation is selected, the following rules are used: * If Re < 0.01, use Stoke's solution. * If 0.01 <= Re < 0.1, linearly combine 'Barati' with Stokes's solution such that at Re = 0.1 the solution is 'Barati', and at Re = 0.01 the solution is 'Stokes'. * If 0.1 <= Re <= ~212963, use the 'Barati' solution. * If ~212963 < Re <= 1E6, use the 'Barati_high' solution. * For Re > 1E6, raises an exception; no valid results have been found. Examples -------- >>> drag_sphere(200) 0.7682237950389874 Parameters ---------- Re : float Particle Reynolds number of the sphere using the surrounding fluid density and viscosity, [-] Returns ------- Cd : float Drag coefficient [-] Other Parameters ---------------- Method : string, optional A string of the function name to use, as in the dictionary drag_sphere_correlations ''' if Method is None: if Re > 0.1: # Smooth transition point between the two models if Re <= 212963.26847812787: return Barati(Re) elif Re <= 1E6: return Barati_high(Re) else: raise ValueError('No models implement a solution for Re > 1E6') elif Re >= 0.01: # Re from 0.01 to 0.1 ratio = (Re - 0.01)/(0.1 - 0.01) # Ensure a smooth transition by linearly switching to Stokes' law return ratio*Barati(Re) + (1-ratio)*Stokes(Re) else: return Stokes(Re) if Method == "Stokes": return Stokes(Re) elif Method == "Barati": return Barati(Re) elif Method == "Barati_high": return Barati_high(Re) elif Method == "Rouse": return Rouse(Re) elif Method == "Engelund_Hansen": return Engelund_Hansen(Re) elif Method == "Clift_Gauvin": return Clift_Gauvin(Re) elif Method == "Morsi_Alexander": return Morsi_Alexander(Re) elif Method == "Graf": return Graf(Re) elif Method == "Flemmer_Banks": return Flemmer_Banks(Re) elif Method == "Khan_Richardson": return Khan_Richardson(Re) elif Method == "Swamee_Ojha": return Swamee_Ojha(Re) elif Method == "Yen": return Yen(Re) elif Method == "Haider_Levenspiel": return Haider_Levenspiel(Re) elif Method == "Cheng": return Cheng(Re) elif Method == "Terfous": return Terfous(Re) elif Method == "Mikhailov_Freire": return Mikhailov_Freire(Re) elif Method == "Clift": return Clift(Re) elif Method == "Ceylan": return Ceylan(Re) elif Method == "Almedeij": return Almedeij(Re) elif Method == "Morrison": return Morrison(Re) elif Method == "Song_Xu": return Song_Xu(Re) else: raise ValueError('Unrecognized method') def _v_terminal_err(V, Method, Re_almost, main): Cd = drag_sphere(Re_almost*V, Method=Method) return V - sqrt(main/Cd) def v_terminal(D, rhop, rho, mu, Method=None): r'''Calculates terminal velocity of a falling sphere using any drag coefficient method supported by `drag_sphere`. The laminar solution for Re < 0.01 is first tried; if the resulting terminal velocity does not put it in the laminar regime, a numerical solution is used. .. math:: v_t = \sqrt{\frac{4 g d_p (\rho_p-\rho_f)}{3 C_D \rho_f }} Parameters ---------- D : float Diameter of the sphere, [m] rhop : float Particle density, [kg/m^3] rho : float Density of the surrounding fluid, [kg/m^3] mu : float Viscosity of the surrounding fluid [Pa*s] Method : string, optional A string of the function name to use, as in the dictionary drag_sphere_correlations Returns ------- v_t : float Terminal velocity of falling sphere [m/s] Notes ----- As there are no correlations implemented for Re > 1E6, an error will be raised if the numerical solver seeks a solution above that limit. The laminar solution is given in [1]_ and is: .. math:: v_t = \frac{g d_p^2 (\rho_p - \rho_f)}{18 \mu_f} Examples -------- >>> v_terminal(D=70E-6, rhop=2600., rho=1000., mu=1E-3) 0.004142497244531304 Example 7-1 in GPSA handbook, 13th edition: >>> from scipy.constants import * >>> v_terminal(D=150E-6, rhop=31.2*lb/foot**3, rho=2.07*lb/foot**3, mu=1.2e-05)/foot 0.4491992020345101 The answer reported there is 0.46 ft/sec. References ---------- .. [1] Green, Don, and Robert Perry. Perry's Chemical Engineers' Handbook, Eighth Edition. McGraw-Hill Professional, 2007. .. [2] Rushton, Albert, Anthony S. Ward, and Richard G. Holdich. Solid-Liquid Filtration and Separation Technology. 1st edition. Weinheim ; New York: Wiley-VCH, 1996. ''' '''The following would be the ideal implementation. The actual function is optimized for speed, not readability def err(V): Re = rho*V*D/mu Cd = Barati_high(Re) V2 = (4/3.*g*D*(rhop-rho)/rho/Cd)**0.5 return (V-V2) return fsolve(err, 1.)''' v_lam = g*D*D*(rhop-rho)/(18*mu) Re_lam = Reynolds(V=v_lam, D=D, rho=rho, mu=mu) if Re_lam < 0.01 or Method == 'Stokes': return v_lam Re_almost = rho*D/mu main = 4/3.*g*D*(rhop-rho)/rho V_max = 1E6/rho/D*mu # where the correlation breaks down, Re=1E6 # Begin the solver with 1/100 th the velocity possible at the maximum # Reynolds number the correlation is good for return secant(_v_terminal_err, V_max*1e-2, xtol=1E-12, args=(Method, Re_almost, main)) def time_v_terminal_Stokes(D, rhop, rho, mu, V0, tol=1e-14): r'''Calculates the time required for a particle in Stoke's regime only to reach terminal velocity (approximately). An infinitely long period is required theoretically, but with floating points, it is possible to calculate the time required to come within a specified `tol` of that terminal velocity. .. math:: t_{term} = -\frac{1}{18\mu}\ln \left(\frac{D^2g\rho - D^2 g \rho_p + 18\mu V_{term}}{D^2g\rho - D^2 g \rho_p + 18\mu V_0 } \right) D^2 \rho_p Parameters ---------- D : float Diameter of the sphere, [m] rhop : float Particle density, [kg/m^3] rho : float Density of the surrounding fluid, [kg/m^3] mu : float Viscosity of the surrounding fluid [Pa*s] V0 : float Initial velocity of the particle, [m/s] tol : float, optional How closely to approach the terminal velocity - the target velocity is the terminal velocity multiplied by 1 (+/-) this, depending on if the particle is accelerating or decelerating, [-] Returns ------- t : float Time for the particle to reach the terminal velocity to within the specified or an achievable tolerance, [s] Notes ----- The symbolic solution was obtained via Wolfram Alpha. If a solution cannot be obtained due to floating point error at very high tolerance, an exception is raised - but first, the tolerance is doubled, up to fifty times in an attempt to obtain the highest possible precision while sill giving an answer. If at any point the tolerance is larger than 1%, an exception is also raised. Examples -------- >>> time_v_terminal_Stokes(D=1e-7, rhop=2200., rho=1.2, mu=1.78E-5, V0=1) 3.1880031137871528e-06 >>> time_v_terminal_Stokes(D=1e-2, rhop=2200., rho=1.2, mu=1.78E-5, V0=1, ... tol=1e-30) 24800.636391801996 ''' if tol < 1e-17: tol = 2e-17 term = D*D*g*rho - D*D*g*rhop denominator = term + 18.*mu*V0 v_term_base = g*D*D*(rhop-rho)/(18.*mu) const = D*D*rhop/mu*-1.0/18. for i in range(50): try: if v_term_base < V0: v_term = v_term_base*(1.0 + tol) else: v_term = v_term_base*(1.0 - tol) numerator = term + 18.*mu*v_term return log(numerator/denominator)*const except: tol = tol + tol if tol > 0.01: raise ValueError('Could not find a solution') raise ValueError('Could not find a solution') def integrate_drag_sphere(D, rhop, rho, mu, t, V=0, Method=None, distance=False): r'''Integrates the velocity and distance traveled by a particle moving at a speed which will converge to its terminal velocity. Performs an integration of the following expression for acceleration: .. math:: a = \frac{g(\rho_p-\rho_f)}{\rho_p} - \frac{3C_D \rho_f u^2}{4D \rho_p} Parameters ---------- D : float Diameter of the sphere, [m] rhop : float Particle density, [kg/m^3] rho : float Density of the surrounding fluid, [kg/m^3] mu : float Viscosity of the surrounding fluid [Pa*s] t : float Time to integrate the particle to, [s] V : float Initial velocity of the particle, [m/s] Method : string, optional A string of the function name to use, as in the dictionary drag_sphere_correlations distance : bool, optional Whether or not to calculate the distance traveled and return it as well Returns ------- v : float Velocity of falling sphere after time `t` [m/s] x : float, returned only if `distance` == True Distance traveled by the falling sphere in time `t`, [m] Notes ----- This can be relatively slow as drag correlations can be complex. There are analytical solutions available for the Stokes law regime (Re < 0.3). They were obtained from Wolfram Alpha. [1]_ was not used in the derivation, but also describes the derivation fully. .. math:: V(t) = \frac{\exp(-at) (V_0 a + b(\exp(at) - 1))}{a} .. math:: x(t) = \frac{\exp(-a t)\left[V_0 a(\exp(a t) - 1) + b\exp(a t)(a t-1) + b\right]}{a^2} .. math:: a = \frac{18\mu_f}{D^2\rho_p} .. math:: b = \frac{g(\rho_p-\rho_f)}{\rho_p} The analytical solution will automatically be used if the initial and terminal velocity is show the particle's behavior to be laminar. Note that this behavior requires that the terminal velocity of the particle be solved for - this adds slight (1%) overhead for the cases where particles are not laminar. Examples -------- >>> integrate_drag_sphere(D=0.001, rhop=2200., rho=1.2, mu=1.78E-5, t=0.5, ... V=30, distance=True) (9.68646, 7.82945) References ---------- .. [1] Timmerman, Peter, and Jacobus P. van der Weele. "On the Rise and Fall of a Ball with Linear or Quadratic Drag." American Journal of Physics 67, no. 6 (June 1999): 538-46. https://doi.org/10.1119/1.19320. ''' # Delayed import of necessaray functions from scipy.integrate import odeint, cumtrapz import numpy as np laminar_initial = Reynolds(V=V, rho=rho, D=D, mu=mu) < 0.01 v_laminar_end_assumed = v_terminal(D=D, rhop=rhop, rho=rho, mu=mu, Method=Method) laminar_end = Reynolds(V=v_laminar_end_assumed, rho=rho, D=D, mu=mu) < 0.01 if Method == 'Stokes' or (laminar_initial and laminar_end and Method is None): try: t1 = 18.0*mu/(D*D*rhop) t2 = g*(rhop-rho)/rhop V_end = exp(-t1*t)*(t1*V + t2*(exp(t1*t) - 1.0))/t1 x_end = exp(-t1*t)*(V*t1*(exp(t1*t) - 1.0) + t2*exp(t1*t)*(t1*t - 1.0) + t2)/(t1*t1) if distance: return V_end, x_end else: return V_end except OverflowError: # It is only necessary to integrate to terminal velocity t_to_terminal = time_v_terminal_Stokes(D, rhop, rho, mu, V0=V, tol=1e-9) if t_to_terminal > t: raise ValueError('Should never happen') V_end, x_end = integrate_drag_sphere(D=D, rhop=rhop, rho=rho, mu=mu, t=t_to_terminal, V=V, Method='Stokes', distance=True) # terminal velocity has been reached - V does not change, but x does # No reason to believe this isn't working even though it isn't # matching the ode solver if distance: return V_end, x_end + V_end*(t - t_to_terminal) else: return V_end # This is a serious problem for small diameters # It would be possible to step slowly, using smaller increments # of time to avlid overflows. However, this unfortunately quickly # gets much, exponentially, slower than just using odeint because # for example solving 10000 seconds might require steps of .0001 # seconds at a diameter of 1e-7 meters. # x = 0.0 # subdivisions = 10 # dt = t/subdivisions # for i in range(subdivisions): # V, dx = integrate_drag_sphere(D=D, rhop=rhop, rho=rho, mu=mu, # t=dt, V=V, distance=True, # Method=Method) # x += dx # if distance: # return V, x # else: # return V Re_ish = rho*D/mu c1 = g*(rhop-rho)/rhop c2 = -0.75*rho/(D*rhop) def dv_dt(V, t): if V == 0: # 64/Re goes to infinity, but gets multiplied by 0 squared. t2 = 0.0 else: # t2 = c2*V*V*Stokes(Re_ish*V) t2 = c2*V*V*drag_sphere(float(Re_ish*V), Method=Method) return c1 + t2 # Number of intervals for the solution to be solved for; the integrator # doesn't care what we give it, but a large number of intervals are needed # For an accurate integration of the particle's distance traveled pts = 1000 if distance else 2 ts = np.linspace(0, t, pts) # Perform the integration Vs = odeint(dv_dt, [V], ts) # V_end = float(Vs[-1]) if distance: # Calculate the distance traveled x = float(cumtrapz(np.ravel(Vs), ts)[-1]) return V_end, x else: return V_end fluids-1.0.22/fluids/jet_pump.py0000644000175000017500000007253214302004506016076 0ustar nileshnilesh# -*- coding: utf-8 -*- """Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2018, Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. This module contains a model for a jet pump, also known as an eductor or an ejector. For reporting bugs, adding feature requests, or submitting pull requests, please use the `GitHub issue tracker `_ or contact the author at Caleb.Andrew.Bell@gmail.com. .. contents:: :local: Interfaces ---------- .. autofunction:: liquid_jet_pump Objective Function ------------------ .. autofunction:: liquid_jet_pump_ancillary Vacuum Air Leakage Estimation ----------------------------- .. autofunction:: vacuum_air_leakage_HEI2633 .. autofunction:: vacuum_air_leakage_Ryans_Croll .. autofunction:: vacuum_air_leakage_Coker_Worthington .. autofunction:: vacuum_air_leakage_Seider """ from __future__ import division from math import log, pi, sqrt, exp from fluids.constants import foot_cubed_inv, torr_inv, mmHg_inv, lb, hour_inv, inchHg from fluids.numerics import brenth, secant, numpy as np __all__ = ['liquid_jet_pump', 'liquid_jet_pump_ancillary', 'vacuum_air_leakage_Seider', 'vacuum_air_leakage_Coker_Worthington', 'vacuum_air_leakage_HEI2633', 'vacuum_air_leakage_Ryans_Croll'] def liquid_jet_pump_ancillary(rhop, rhos, Kp, Ks, d_nozzle=None, d_mixing=None, Qp=None, Qs=None, P1=None, P2=None): r'''Calculates the remaining variable in a liquid jet pump when solving for one if the inlet variables only and the rest of them are known. The equation comes from conservation of energy and momentum in the mixing chamber. The variable to be solved for must be one of `d_nozzle`, `d_mixing`, `Qp`, `Qs`, `P1`, or `P2`. .. math:: P_1 - P_2 = \frac{1}{2}\rho_pV_n^2(1+K_p) - \frac{1}{2}\rho_s V_3^2(1+K_s) Rearrange to express V3 in terms of Vn, and using the density ratio `C`, the expression becomes: .. math:: P_1 - P_2 = \frac{1}{2}\rho_p V_n^2\left[(1+K_p) - C(1+K_s) \left(\frac{MR}{1-R}\right)^2\right] Using the primary nozzle area and flow rate: .. math:: P_1 - P_2 = \frac{1}{2}\rho_p \left(\frac{Q_p}{A_n}\right)^2 \left[(1+K_p) - C(1+K_s) \left(\frac{MR}{1-R}\right)^2\right] For `P`, `P2`, `Qs`, and `Qp`, the equation can be rearranged explicitly for them. For `d_mixing` and `d_nozzle`, a bounded solver is used searching between 1E-9 m and 20 times the other diameter which was specified. Parameters ---------- rhop : float The density of the primary (motive) fluid, [kg/m^3] rhos : float The density of the secondary fluid (drawn from the vacuum chamber), [kg/m^3] Kp : float The primary nozzle loss coefficient, [-] Ks : float The secondary inlet loss coefficient, [-] d_nozzle : float, optional The inside diameter of the primary fluid's nozle, [m] d_mixing : float, optional The diameter of the mixing chamber, [m] Qp : float, optional The volumetric flow rate of the primary fluid, [m^3/s] Qs : float, optional The volumetric flow rate of the secondary fluid, [m^3/s] P1 : float, optional The pressure of the primary fluid entering its nozzle, [Pa] P2 : float, optional The pressure of the secondary fluid at the entry of the ejector, [Pa] Returns ------- solution : float The parameter not specified (one of `d_nozzle`, `d_mixing`, `Qp`, `Qs`, `P1`, or `P2`), (units of `m`, `m`, `m^3/s`, `m^3/s`, `Pa`, or `Pa` respectively) Notes ----- The following SymPy code was used to obtain the analytical formulas ( they are not shown here due to their length): >>> from sympy import * # doctest: +SKIP >>> A_nozzle, A_mixing, Qs, Qp, P1, P2, rhos, rhop, Ks, Kp = symbols('A_nozzle, A_mixing, Qs, Qp, P1, P2, rhos, rhop, Ks, Kp') # doctest: +SKIP >>> R = A_nozzle/A_mixing # doctest: +SKIP >>> M = Qs/Qp # doctest: +SKIP >>> C = rhos/rhop # doctest: +SKIP >>> rhs = rhop/2*(Qp/A_nozzle)**2*((1+Kp) - C*(1 + Ks)*((M*R)/(1-R))**2 ) # doctest: +SKIP >>> new = Eq(P1 - P2, rhs) # doctest: +SKIP >>> solve(new, Qp) # doctest: +SKIP >>> solve(new, Qs) # doctest: +SKIP >>> solve(new, P1) # doctest: +SKIP >>> solve(new, P2) # doctest: +SKIP Examples -------- Calculating primary fluid nozzle inlet pressure P1: >>> liquid_jet_pump_ancillary(rhop=998., rhos=1098., Ks=0.11, Kp=.04, ... P2=133600, Qp=0.01, Qs=0.01, d_mixing=0.045, d_nozzle=0.02238) 426434.60314398 References ---------- .. [1] Ejectors and Jet Pumps. Design and Performance for Incompressible Liquid Flow. 85032. ESDU International PLC, 1985. ''' unknowns = sum(i is None for i in (d_nozzle, d_mixing, Qs, Qp, P1, P2)) if unknowns > 1: raise ValueError('Too many unknowns') elif unknowns < 1: raise ValueError('Overspecified') C = rhos/rhop if Qp is not None and Qs is not None: M = Qs/Qp if d_nozzle is not None: A_nozzle = pi/4*d_nozzle*d_nozzle if d_mixing is not None: A_mixing = pi/4*d_mixing*d_mixing R = A_nozzle/A_mixing if P1 is None: return rhop/2*(Qp/A_nozzle)**2*((1+Kp) - C*(1 + Ks)*((M*R)/(1-R))**2 ) + P2 elif P2 is None: return -rhop/2*(Qp/A_nozzle)**2*((1+Kp) - C*(1 + Ks)*((M*R)/(1-R))**2 ) + P1 elif Qs is None: try: return sqrt((-2*A_nozzle**2*P1 + 2*A_nozzle**2*P2 + Kp*Qp**2*rhop + Qp**2*rhop)/(C*rhop*(Ks + 1)))*(A_mixing - A_nozzle)/A_nozzle except ValueError: return -1j elif Qp is None: return A_nozzle*sqrt((2*A_mixing**2*P1 - 2*A_mixing**2*P2 - 4*A_mixing*A_nozzle*P1 + 4*A_mixing*A_nozzle*P2 + 2*A_nozzle**2*P1 - 2*A_nozzle**2*P2 + C*Ks*Qs**2*rhop + C*Qs**2*rhop)/(rhop*(Kp + 1)))/(A_mixing - A_nozzle) elif d_nozzle is None: def err(d_nozzle): return P1 - liquid_jet_pump_ancillary(rhop=rhop, rhos=rhos, Kp=Kp, Ks=Ks, d_nozzle=d_nozzle, d_mixing=d_mixing, Qp=Qp, Qs=Qs, P1=None, P2=P2) return brenth(err, 1E-9, d_mixing*20) elif d_mixing is None: def err(d_mixing): return P1 - liquid_jet_pump_ancillary(rhop=rhop, rhos=rhos, Kp=Kp, Ks=Ks, d_nozzle=d_nozzle, d_mixing=d_mixing, Qp=Qp, Qs=Qs, P1=None, P2=P2) try: return brenth(err, 1E-9, d_nozzle*20) except: return secant(err, d_nozzle*2) def liquid_jet_pump_pressure_ratio(rhop, rhos, Km, Kd, Ks, Kp, d_nozzle=None, d_mixing=None, d_diffuser=None, Qp=None, Qs=None, P1=None, P2=None, P5=None, nozzle_retracted=True): C = rhos/rhop if nozzle_retracted: j = 0.0 else: j = 1.0 R = d_nozzle**2/d_mixing**2 alpha = d_mixing**2/d_diffuser**2 M = Qs/Qp M2, R2, alpha2 = M*M, R*R, alpha*alpha num = 2.0*R + 2*C*M2*R2/(1.0 - R) num -= R2*(1.0 + C*M)*(1.0 + M)*(1.0 + Km + Kd + alpha2) num -= C*M2*R2/(1.0 - R)**2*(1.0 + Ks) den = (1.0 + Kp) - 2.0*R - 2.0*C*M2*R2/(1.0 - R) den += R2*(1.0 + C*M)*(1.0 + M)*(1.0 + Km + Kd + alpha2) den += (1.0 - j)*(C*M2/((1.0 - R)/R)**2)*(1.0 - Ks) N = num/den if P1 is None: P1 = (-P2 + P5*N + P5)/N elif P2 is None: P2 = -P1*N + P5*N + P5 elif P5 is None: P5 = (P1*N + P2)/(N + 1.0) else: return N - (P5 - P2)/(P1 - P5) solution = {} solution['P1'] = P1 solution['P2'] = P2 solution['P5'] = P5 # solution['d_nozzle'] = d_nozzle # solution['d_mixing'] = d_mixing # solution['d_diffuser'] = d_diffuser # solution['Qs'] = Qs # solution['Qp'] = Qp # solution['N'] = N # solution['M'] = M # solution['R'] = R # solution['alpha'] = alpha # solution['efficiency'] = M*N return solution def liquid_jet_pump(rhop, rhos, Kp=0.0, Ks=0.1, Km=.15, Kd=0.1, d_nozzle=None, d_mixing=None, d_diffuser=None, Qp=None, Qs=None, P1=None, P2=None, P5=None, nozzle_retracted=True, max_variations=100): r'''Calculate the remaining two variables in a liquid jet pump, using a model presented in [1]_ as well as [2]_, [3]_, and [4]_. .. math:: N = \frac{2R + \frac{2 C M^2 R^2}{1-R} - R^2 (1+CM) (1+M) (1 + K_m + K_d + \alpha^2) - \frac{CM^2R^2}{(1-R)^2} (1+K_s)} {(1+K_p) - 2R - \frac{2CM^2R^2}{1-R} + R^2(1+CM)(1+M)(1+K_m + K_d + \alpha^2) + (1-j)\left(\frac{CM^2R^2}{({1-R})^2} \right)(1+K_s)} .. math:: P_1 - P_2 = \frac{1}{2}\rho_p \left(\frac{Q_p}{A_n}\right)^2 \left[(1+K_p) - C(1+K_s) \left(\frac{MR}{1-R}\right)^2\right] .. math:: \text{Pressure ratio} = N = \frac{P_5 - P_2}{P_1 - P_5} .. math:: \text{Volume flow ratio} = M = \frac{Q_s}{Q_p} .. math:: \text{Jet pump efficiency} = \eta = M\cdot N = \frac{Q_s(P_5-P_2)}{Q_p(P_1 - P_5)} .. math:: R = \frac{A_n}{A_m} .. math:: C = \frac{\rho_s}{\rho_p} There is no guarantee a solution will be found for the provided variable values, but every combination of two missing variables are supported. Parameters ---------- rhop : float The density of the primary (motive) fluid, [kg/m^3] rhos : float The density of the secondary fluid (drawn from the vacuum chamber), [kg/m^3] Kp : float, optional The primary nozzle loss coefficient, [-] Ks : float, optional The secondary inlet loss coefficient, [-] Km : float, optional The mixing chamber loss coefficient, [-] Kd : float, optional The diffuser loss coefficient, [-] d_nozzle : float, optional The inside diameter of the primary fluid's nozle, [m] d_mixing : float, optional The diameter of the mixing chamber, [m] d_diffuser : float, optional The diameter of the diffuser at its exit, [m] Qp : float, optional The volumetric flow rate of the primary fluid, [m^3/s] Qs : float, optional The volumetric flow rate of the secondary fluid, [m^3/s] P1 : float, optional The pressure of the primary fluid entering its nozzle, [Pa] P2 : float, optional The pressure of the secondary fluid at the entry of the ejector, [Pa] P5 : float, optional The pressure at the exit of the diffuser, [Pa] nozzle_retracted : bool, optional Whether or not the primary nozzle's exit is before the mixing chamber, or somewhat inside it, [-] max_variations : int, optional When the initial guesses do not lead to a converged solution, try this many more guesses at converging the problem, [-] Returns ------- solution : dict Dictionary of calculated parameters, [-] Notes ----- The assumptions of the model are: * The flows are one dimensional except in the mixing chamber. * The mixing chamber has constant cross-sectional area. * The mixing happens entirely in the mixing chamber, prior to entry into the diffuser. * The primary nozzle is in a straight line with the middle of the mixing chamber. * Both fluids are incompressible, and have no excess volume on mixing. * Primary and secondary flows both enter the mixing throat with their own uniform velocity distribution; the mixed stream leaves with a uniform velocity profile. * If the secondary fluid is a gas, it undergoes isothermal compression in the throat and diffuser. * If the secondary fluid is a gas or contains a bubbly gas, it is homogeneously distributed in a continuous liquid phase. * Heat transfer between the fluids is negligible - there is no change in density due to temperature changes * The change in the solubility of a dissolved gas, if there is one, is negigibly changed by temperature or pressure changes. The model can be derived from the equations in :py:func:`~.liquid_jet_pump_ancillary` and the following: Conservation of energy at the primary nozzle, secondary inlet, and diffuser exit: .. math:: P_1 = P_3 + \frac{1}{2}\rho_p V_n^2 + K_p\left(\frac{1}{2}\rho_p V_n^2\right) .. math:: P_2 = P_3 + \frac{1}{2}\rho_s V_3^2 + K_s\left(\frac{1}{2}\rho_s V_3^2\right) .. math:: P_5 = P_4 + \frac{1}{2}\rho_d V_4^2 - K_d\left(\frac{1}{2}\rho_d V_4^2\right) The mixing chamber loss coefficient should be obtained through the following expression, using the mixing chamber exit velocity to obtain the friction factor. .. math:: K_m = \frac{4f_d L}{D} .. math:: K_d = \frac{P_4 - P_5}{0.5 \rho_d V_4^2} = 1 - \left(\frac{A_4}{A_5} \right)^2 - C_{pr} .. math:: K_s = \frac{P_2 - P_3}{0.5\rho_s V_3^2} - 1 .. math:: K_p = \frac{P_1 - P_n}{0.5\rho_p V_n^2} - 1 Continuity of the ejector: .. math:: \rho_p Q_p + \rho_s Q_s = \rho_d Q_d Examples -------- >>> ans = liquid_jet_pump(rhop=998., rhos=1098., Km=.186, Kd=0.12, Ks=0.11, ... Kp=0.04, d_mixing=0.045, Qs=0.01, Qp=.01, P2=133600, ... P5=200E3, nozzle_retracted=False, max_variations=10000) >>> s = [] >>> for key, value in ans.items(): ... s.append('%s: %g' %(key, value)) >>> sorted(s) ['M: 1', 'N: 0.293473', 'P1: 426256', 'P2: 133600', 'P5: 200000', 'Qp: 0.01', 'Qs: 0.01', 'R: 0.247404', 'alpha: 1e-06', 'd_diffuser: 45', 'd_mixing: 0.045', 'd_nozzle: 0.0223829', 'efficiency: 0.293473'] References ---------- .. [1] Karassik, Igor J., Joseph P. Messina, Paul Cooper, and Charles C. Heald. Pump Handbook. 4th edition. New York: McGraw-Hill Education, 2007. .. [2] Winoto S. H., Li H., and Shah D. A. "Efficiency of Jet Pumps." Journal of Hydraulic Engineering 126, no. 2 (February 1, 2000): 150-56. https://doi.org/10.1061/(ASCE)0733-9429(2000)126:2(150). .. [3] Elmore, Emily, Khalid Al-Mutairi, Bilal Hussain, and A. Sheriff El-Gizawy. "Development of Analytical Model for Predicting Dual-Phase Ejector Performance," November 11, 2016, V007T09A013. .. [4] Ejectors and Jet Pumps. Design and Performance for Incompressible Liquid Flow. 85032. ESDU International PLC, 1985. ''' from random import uniform, seed solution_vars = ['d_nozzle', 'd_mixing', 'Qp', 'Qs', 'P1', 'P2', 'P5'] unknown_vars = [] for i in solution_vars: if locals()[i] is None: unknown_vars.append(i) if len(unknown_vars) > 2: raise ValueError('Too many unknowns') elif len(unknown_vars) < 2: raise ValueError('Overspecified') vals = {'d_nozzle': d_nozzle, 'd_mixing': d_mixing, 'Qp': Qp, 'Qs': Qs, 'P1': P1, 'P2': P2, 'P5': P5} var_guesses = [] # Initial guess algorithms for each variable here # No clever algorithms invented yet for v in unknown_vars: if v == 'd_nozzle': try: var_guesses.append(d_mixing*0.4) except: var_guesses.append(0.01) if v == 'd_mixing': try: var_guesses.append(d_nozzle*2) except: var_guesses.append(0.02) elif v == 'P1': try: var_guesses.append(P2*5) except: var_guesses.append(P5*5) elif v == 'P2': try: var_guesses.append((P1 + P5)*0.5) except: try: var_guesses.append(P1/1.1) except: var_guesses.append(P5*1.25) elif v == 'P5': try: var_guesses.append(P1*1.12) except: var_guesses.append(P2*1.12) elif v == 'Qp': try: var_guesses.append(Qs*1.04) except: var_guesses.append(0.01) elif v == 'Qs': try: var_guesses.append(Qp*0.5) except: var_guesses.append(0.01) C = rhos/rhop if nozzle_retracted: j = 0.0 else: j = 1.0 # The diffuser diameter, if not specified, is set to a very large diameter # so as to not alter the results if d_diffuser is None: if d_mixing is not None: d_diffuser = d_mixing*1E3 elif d_nozzle is not None: d_diffuser = d_nozzle*1E3 else: d_diffuser = 1000.0 vals['d_diffuser'] = d_diffuser def obj_err(val): # Use the dictionary `vals` to keep track of the currently iterating # variables for i, v in zip(unknown_vars, val): vals[i] = abs(float(v)) # Keep the pressure limits sane # if 'P1' in unknown_vars: # if 'P5' not in unknown_vars: # vals['P1'] = max(vals['P1'], 1.001*vals['P5']) # elif 'P2' not in unknown_vars: # vals['P1'] = max(vals['P1'], 1.001*vals['P2']) # if 'P2' in unknown_vars: # if 'P1' not in unknown_vars: # vals['P2'] = min(vals['P2'], 0.999*vals['P1']) # if 'P5' not in unknown_vars: # vals['P2'] = max(vals['P2'], 1.001*vals['P2']) # Prelimary numbers A_nozzle = pi/4*vals['d_nozzle']**2 alpha = vals['d_mixing']**2/d_diffuser**2 R = vals['d_nozzle']**2/vals['d_mixing']**2 M = vals['Qs']/vals['Qp'] err1 = liquid_jet_pump_pressure_ratio(rhop=rhop, rhos=rhos, Km=Km, Kd=Kd, Ks=Ks, Kp=Kp, d_nozzle=vals['d_nozzle'], d_mixing=vals['d_mixing'], Qs=vals['Qs'], Qp=vals['Qp'], P2=vals['P2'], P1=vals['P1'], P5=vals['P5'], nozzle_retracted=nozzle_retracted, d_diffuser=d_diffuser) rhs = rhop/2.0*(vals['Qp']/A_nozzle)**2*((1.0 + Kp) - C*(1.0 + Ks)*((M*R)/(1.0 - R))**2 ) err2 = rhs - (vals['P1'] - vals['P2']) vals['N'] = N = (vals['P5'] - vals['P2'])/(vals['P1']-vals['P5']) vals['M'] = M vals['R'] = R vals['alpha'] = alpha vals['efficiency'] = M*N if vals['efficiency'] < 0: if err1 < 0: err1 -= abs(vals['efficiency']) else: err1 += abs(vals['efficiency']) if err2 < 0: err2 -= abs(vals['efficiency']) else: err2 += abs(vals['efficiency']) # elif vals['N'] < 0: # err1, err2 = abs(vals['N']) + err1, abs(vals['N']) + err2 # print(err1, err2) return err1, err2 # Only one unknown var if 'P5' in unknown_vars: ancillary = liquid_jet_pump_ancillary(rhop=rhop, rhos=rhos, Kp=Kp, Ks=Ks, d_nozzle=d_nozzle, d_mixing=d_mixing, Qp=Qp, Qs=Qs, P1=P1, P2=P2) if unknown_vars[0] == 'P5': vals[unknown_vars[1]] = ancillary else: vals[unknown_vars[0]] = ancillary vals['P5'] = liquid_jet_pump_pressure_ratio(rhop=rhop, rhos=rhos, Km=Km, Kd=Kd, Ks=Ks, Kp=Kp, d_nozzle=vals['d_nozzle'], d_mixing=vals['d_mixing'], Qs=vals['Qs'], Qp=vals['Qp'], P2=vals['P2'], P1=vals['P1'], P5=None, nozzle_retracted=nozzle_retracted, d_diffuser=d_diffuser)['P5'] # Compute the remaining parameters obj_err([vals[unknown_vars[0]], vals[unknown_vars[1]]]) return vals with np.errstate(all='ignore'): from scipy.optimize import fsolve, root def solve_with_fsolve(var_guesses): res = fsolve(obj_err, var_guesses, full_output=True) if sum(abs(res[1]['fvec'])) > 1E-7: raise ValueError('Could not solve') for u, v in zip(unknown_vars, res[0].tolist()): vals[u] = abs(v) return vals try: return solve_with_fsolve(var_guesses) except: pass # Tying different guesses with fsolve is faster than trying different solvers for meth in ['hybr', 'lm', 'broyden1', 'broyden2']: # try: res = root(obj_err, var_guesses, method=meth, tol=1E-9) if sum(abs(res['fun'])) > 1E-7: raise ValueError('Could not solve') for u, v in zip(unknown_vars, res['x'].tolist()): vals[u] = abs(v) return vals except (ValueError, OverflowError): continue # Just do variations on this until it works for _ in range(int(max_variations/8)): for idx in [0, 1]: for r in [(1, 10), (0.1, 1)]: i = uniform(*r) try: l = list(var_guesses) l[idx] = l[idx]*i return solve_with_fsolve(l) except: pass # Vary both parameters at once for _ in range(int(max_variations/8)): for r in [(1, 10), (0.1, 1)]: i = uniform(*r) for s in [(1, 10), (0.1, 1)]: j = uniform(*s) try: l = list(var_guesses) l[0] = l[0]*i l[1] = l[1]*j return solve_with_fsolve(l) except: pass raise ValueError('Could not solve') def vacuum_air_leakage_Ryans_Croll(V, P, P_atm=101325.0): r'''Calculates an estimated leakage of air into a vessel using a correlation from Ryans and Croll (1981) [1]_ as given in [2]_ and [3]_. if P < 10 torr: .. math:: W = 0.026P^{0.34}V^{0.6} if P < 100 torr: .. math:: W = 0.032P^{0.26}V^{0.6} else: .. math:: W = 0.106V^{0.6} In the above equation, the units are lb/hour, torr (vacuum), and cubic feet; they are converted in this function. Parameters ---------- V : float Vessel volume, [m^3] P : float Vessel actual absolute operating pressure - less than `P_atm`!, [Pa] P_atm : float, optional The atmospheric pressure surrounding the vessel, [Pa] Returns ------- m : float Air leakage flow rate, [kg/s] Notes ----- No limits are applied to this function. Examples -------- >>> vacuum_air_leakage_Ryans_Croll(10, 10000) 0.0004512 References ---------- .. [1] Ryans, J. L. and Croll, S. "Selecting Vacuum Systems," 1981. .. [2] Coker, Kayode. Ludwig's Applied Process Design for Chemical and Petrochemical Plants. 4 edition. Amsterdam ; Boston: Gulf Professional Publishing, 2007. .. [3] Govoni, Patrick. "An Overview of Vacuum System Design" Chemical Engineering Magazine, September 2017. ''' V *= foot_cubed_inv P *= torr_inv P_atm *= torr_inv P_vacuum = P_atm - P if P_vacuum < 10: air_leakage = 0.026*P_vacuum**0.34*V**0.6 elif P_vacuum < 100: air_leakage = 0.032*P_vacuum**0.26*V**0.6 else: air_leakage = 0.106*V**0.6 leakage = air_leakage*lb*hour_inv return leakage def vacuum_air_leakage_Seider(V, P, P_atm=101325.0): r'''Calculates an estimated leakage of air into a vessel using a correlation from Seider [1]_. .. math:: W = 5 + \left[ 0.0298 + 0.03088\ln P - 0.0005733(\ln P)^2 \right]V^{0.66} In the above equation, the units are lb/hour, torr (vacuum), and cubic feet; they are converted in this function. Parameters ---------- V : float Vessel volume, [m^3] P : float Vessel actual absolute operating pressure - less than `P_atm`!, [Pa] P_atm : float, optional The atmospheric pressure surrounding the vessel, [Pa] Returns ------- m : float Air leakage flow rate, [kg/s] Notes ----- This formula is rough. Examples -------- >>> vacuum_air_leakage_Seider(10, 10000) 0.0018775547 References ---------- .. [1] Seider, Warren D., J. D. Seader, and Daniel R. Lewin. Product and Process Design Principles: Synthesis, Analysis, and Evaluation. 2nd edition. New York: Wiley, 2003. ''' P *= torr_inv P_atm *= torr_inv P_vacuum = P_atm - P V *= foot_cubed_inv lnP = log(P_vacuum) leakage_lb_hr = 5.0 + (0.0289 + 0.03088*lnP - 0.0005733*lnP*lnP)*V**0.66 leakage = leakage_lb_hr*lb*hour_inv return leakage def vacuum_air_leakage_HEI2633(V, P, P_atm=101325.0): r'''Calculates an estimated leakage of air into a vessel using fits to a graph of HEI-2633-00 for air leakage in commercially `tight` vessels [1]_. There are 5 fits, for < 1 mmHg; 1-3 mmHg; 3-20 mmHg, 20-90 mmHg, and 90 mmHg to atmospheric. The fits are for `maximum` air leakage. Actual values may be significantly larger or smaller depending on the condition of the seals, manufacturing defects, and the application. Parameters ---------- V : float Vessel volume, [m^3] P : float Vessel actual absolute operating pressure - less than `P_atm`!, [Pa] P_atm : float, optional The atmospheric pressure surrounding the vessel, [Pa] Returns ------- m : float Air leakage flow rate, [kg/s] Notes ----- The volume is capped to 10 ft^3 on the low end, but extrapolation past the maximum size of 10000 ft^3 is allowed. It is believed :obj:`vacuum_air_leakage_Seider` was derived from this data, so this function should be used in preference to it. Examples -------- >>> vacuum_air_leakage_HEI2633(10, 10000) 0.001186252403781038 References ---------- .. [1] "Standards for Steam Jet Vacuum Systems", 5th Edition ''' P_atm *= mmHg_inv P *= mmHg_inv P_vacuum = P_atm - P V *= foot_cubed_inv if V < 10: V = 10.0 logV = log(V) if P_vacuum <= 1: c0, c1 = 0.6667235169997174, -3.71246576520232 elif P_vacuum <= 3: c0, c1 = 0.664489357445796, -3.0147277548691274 elif P_vacuum <= 20: c0, c1 = 0.6656780453394583, -2.34007321331419 elif P_vacuum <= 90: c0, c1 = 0.663080000739313, -1.9278288516732665 else: c0, c1 = 0.6658471905826482, -1.6641585778506027 leakage_lb_hr = exp(c1 + logV*c0) leakage = leakage_lb_hr*lb*hour_inv return leakage def vacuum_air_leakage_Coker_Worthington(P, P_atm=101325.0, conservative=True): r'''Calculates an estimated leakage of air into a vessel using a tabular lookup from Coker cited as being from Worthington Corp's 1955 Steam-Jet Ejector Application Handbook, Bulletin W-205-E21 [1]_. Parameters ---------- P : float Vessel actual absolute operating pressure - less than `P_atm`!, [Pa] P_atm : float, optional The atmospheric pressure surrounding the vessel, [Pa] conservative : bool Whether to use the high values or low values in the table, [-] Returns ------- m : float Air leakage flow rate, [kg/s] Notes ----- Examples -------- >>> vacuum_air_leakage_Coker_Worthington(10000) 0.005039915222222222 References ---------- .. [1] Coker, Kayode. Ludwig's Applied Process Design for Chemical and Petrochemical Plants. 4 edition. Amsterdam ; Boston: Gulf Professional Publishing, 2007. ''' P /= inchHg # convert to inch Hg P_atm /= inchHg # convert to inch Hg P_vacuum = P_atm - P if conservative: if P_vacuum > 8: leakage = 40 elif P_vacuum > 5: leakage = 30 elif P_vacuum > 3: leakage = 25 else: leakage = 20 else: if P_vacuum > 8: leakage = 30 elif P_vacuum > 5: leakage = 25 elif P_vacuum > 3: leakage = 20 else: leakage = 10 leakage = leakage*lb*hour_inv return leakage fluids-1.0.22/fluids/open_flow.py0000644000175000017500000006444214302004506016244 0ustar nileshnilesh# -*- coding: utf-8 -*- """Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2016, 2017, 2018, 2020 Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. This module contains functionality for calculating the flow rate of fluids in open channels. The Manning and Chezy methods are implemented Weirs as well as several calculations for flow rate over weirs. For reporting bugs, adding feature requests, or submitting pull requests, please use the `GitHub issue tracker `_ or contact the author at Caleb.Andrew.Bell@gmail.com. .. contents:: :local: Weirs ----- .. autofunction:: Q_weir_V_Shen .. autofunction:: Q_weir_rectangular_Kindsvater_Carter .. autofunction:: Q_weir_rectangular_SIA .. autofunction:: Q_weir_rectangular_full_Ackers .. autofunction:: Q_weir_rectangular_full_SIA .. autofunction:: Q_weir_rectangular_full_Rehbock .. autofunction:: Q_weir_rectangular_full_Kindsvater_Carter Manning and Chezy Equations --------------------------- .. autofunction:: V_Manning .. autofunction:: V_Chezy .. autofunction:: n_Manning_to_C_Chezy .. autofunction:: C_Chezy_to_n_Manning Manning Coefficients -------------------- .. autodata:: n_natural .. autodata:: n_excavated_dredged .. autodata:: n_lined_built .. autodata:: n_closed_conduit .. autodata:: n_dicts """ from __future__ import division from math import tan, radians, sqrt from fluids.constants import g from fluids.numerics import interp __all__ = ['Q_weir_V_Shen', 'Q_weir_rectangular_Kindsvater_Carter', 'Q_weir_rectangular_SIA', 'Q_weir_rectangular_full_Ackers', 'Q_weir_rectangular_full_SIA', 'Q_weir_rectangular_full_Rehbock', 'Q_weir_rectangular_full_Kindsvater_Carter', 'V_Manning', 'n_Manning_to_C_Chezy', 'C_Chezy_to_n_Manning', 'V_Chezy', 'n_natural', 'n_excavated_dredged', 'n_lined_built', 'n_closed_conduit', 'n_dicts'] nape_types = ['free', 'depressed', 'clinging'] flow_types = ['aerated', 'partially aerated', 'unaerated'] weir_types = ['V-notch', 'rectangular', 'rectangular full-channel', 'Cipoletti', 'broad-crested', 'Ogee'] angles_Shen = [20, 40, 60, 80, 100] Cs_Shen = [0.59, 0.58, 0.575, 0.575, 0.58] k_Shen = [0.0028, 0.0017, 0.0012, 0.001, 0.001] ### V-Notch Weirs (Triangular weir) def Q_weir_V_Shen(h1, angle=90): r'''Calculates the flow rate across a V-notch (triangular) weir from the height of the liquid above the tip of the notch, and with the angle of the notch. Most of these type of weir are 90 degrees. Model from [1]_ as reproduced in [2]_. Flow rate is given by: .. math:: Q = C \tan\left(\frac{\theta}{2}\right)\sqrt{g}(h_1 + k)^{2.5} Parameters ---------- h1 : float Height of the fluid above the notch [m] angle : float, optional Angle of the notch [degrees] Returns ------- Q : float Volumetric flow rate across the weir [m^3/s] Notes ----- angles = [20, 40, 60, 80, 100] Cs = [0.59, 0.58, 0.575, 0.575, 0.58] k = [0.0028, 0.0017, 0.0012, 0.001, 0.001] The following limits apply to the use of this equation: h1 >= 0.05 m h2 > 0.45 m h1/h2 <= 0.4 m b > 0.9 m .. math:: \frac{h_1}{b}\tan\left(\frac{\theta}{2}\right) < 2 Flows are lower than obtained by the curves at http://www.lmnoeng.com/Weirs/vweir.php. Examples -------- >>> Q_weir_V_Shen(0.6, angle=45) 0.21071725775478 References ---------- .. [1] Shen, John. "Discharge Characteristics of Triangular-Notch Thin-Plate Weirs : Studies of Flow to Water over Weirs and Dams." USGS Numbered Series. Water Supply Paper. U.S. Geological Survey : U.S. G.P.O., 1981 .. [2] Blevins, Robert D. Applied Fluid Dynamics Handbook. New York, N.Y.: Van Nostrand Reinhold Co., 1984. ''' C = interp(angle, angles_Shen, Cs_Shen) k = interp(angle, angles_Shen, k_Shen) return C*tan(radians(angle)/2)*sqrt(g)*(h1 + k)**2.5 ### Rectangular Weirs def Q_weir_rectangular_Kindsvater_Carter(h1, h2, b): r'''Calculates the flow rate across rectangular weir from the height of the liquid above the crest of the notch, the liquid depth beneath it, and the width of the notch. Model from [1]_ as reproduced in [2]_. Flow rate is given by: .. math:: Q = 0.554\left(1 - 0.0035\frac{h_1}{h_2}\right)(b + 0.0025) \sqrt{g}(h_1 + 0.0001)^{1.5} Parameters ---------- h1 : float Height of the fluid above the crest of the weir [m] h2 : float Height of the fluid below the crest of the weir [m] b : float Width of the rectangular flow section of the weir [m] Returns ------- Q : float Volumetric flow rate across the weir [m^3/s] Notes ----- The following limits apply to the use of this equation: b/b1 ≤ 0.2 h1/h2 < 2 b > 0.15 m h1 > 0.03 m h2 > 0.1 m Examples -------- >>> Q_weir_rectangular_Kindsvater_Carter(0.2, 0.5, 1) 0.15545928949179422 References ---------- .. [1] Kindsvater, Carl E., and Rolland W. Carter. "Discharge Characteristics of Rectangular Thin-Plate Weirs." Journal of the Hydraulics Division 83, no. 6 (December 1957): 1-36. .. [2] Blevins, Robert D. Applied Fluid Dynamics Handbook. New York, N.Y.: Van Nostrand Reinhold Co., 1984. ''' return 0.554*(1 - 0.0035*h1/h2)*(b + 0.0025)*sqrt(g)*(h1 + 0.0001)**1.5 def Q_weir_rectangular_SIA(h1, h2, b, b1): r'''Calculates the flow rate across rectangular weir from the height of the liquid above the crest of the notch, the liquid depth beneath it, and the width of the notch. Model from [1]_ as reproduced in [2]_. Flow rate is given by: .. math:: Q = 0.544\left[1 + 0.064\left(\frac{b}{b_1}\right)^2 + \frac{0.00626 - 0.00519(b/b_1)^2}{h_1 + 0.0016}\right] \left[1 + 0.5\left(\frac{b}{b_1}\right)^4\left(\frac{h_1}{h_1+h_2} \right)^2\right]b\sqrt{g}h^{1.5} Parameters ---------- h1 : float Height of the fluid above the crest of the weir [m] h2 : float Height of the fluid below the crest of the weir [m] b : float Width of the rectangular flow section of the weir [m] b1 : float Width of the full section of the channel [m] Returns ------- Q : float Volumetric flow rate across the weir [m^3/s] Notes ----- The following limits apply to the use of this equation: b/b1 ≤ 0.2 h1/h2 < 2 b > 0.15 m h1 > 0.03 m h2 > 0.1 m Examples -------- >>> Q_weir_rectangular_SIA(0.2, 0.5, 1, 2) 1.0408858453811165 References ---------- .. [1] Normen für Wassermessungen: bei Durchführung von Abnahmeversuchen an Wasserkraftmaschinen. SIA, 1924. .. [2] Blevins, Robert D. Applied Fluid Dynamics Handbook. New York, N.Y.: Van Nostrand Reinhold Co., 1984. ''' h = h1 + h2 Q = 0.544*(1 + 0.064*(b/b1)**2 + (0.00626 - 0.00519*(b/b1)**2)/(h1 + 0.0016))\ *(1 + 0.5*(b/b1)**4*(h1/(h1 + h2))**2)*b*sqrt(g)*h**1.5 return Q ### Rectangular Weirs, full channel def Q_weir_rectangular_full_Ackers(h1, h2, b): r'''Calculates the flow rate across a full-channel rectangular weir from the height of the liquid above the crest of the weir, the liquid depth beneath it, and the width of the channel. Model from [1]_ as reproduced in [2]_, confirmed with [3]_. Flow rate is given by: .. math:: Q = 0.564\left(1+0.150\frac{h_1}{h_2}\right)b\sqrt{g}(h_1+0.001)^{1.5} Parameters ---------- h1 : float Height of the fluid above the crest of the weir [m] h2 : float Height of the fluid below the crest of the weir [m] b : float Width of the channel section [m] Returns ------- Q : float Volumetric flow rate across the weir [m^3/s] Notes ----- The following limits apply to the use of this equation: h1 > 0.02 m h2 > 0.15 m h1/h2 ≤ 2.2 Examples -------- Example as in [3]_, matches. However, example is unlikely in practice. >>> Q_weir_rectangular_full_Ackers(h1=0.9, h2=0.6, b=5) 9.251938159899948 References ---------- .. [1] Ackers, Peter, W. R. White, J. A. Perkins, and A. J. M. Harrison. Weirs and Flumes for Flow Measurement. Chichester ; New York: John Wiley & Sons Ltd, 1978. .. [2] Blevins, Robert D. Applied Fluid Dynamics Handbook. New York, N.Y.: Van Nostrand Reinhold Co., 1984. .. [3] Cengel, Yunus, and John Cimbala. Fluid Mechanics: Fundamentals and Applications. Boston: McGraw Hill Higher Education, 2006. ''' return 0.564*(1 + 0.150*h1/h2)*b*sqrt(g)*(h1 + 0.001)**1.5 def Q_weir_rectangular_full_SIA(h1, h2, b): r'''Calculates the flow rate across a full-channel rectangular weir from the height of the liquid above the crest of the weir, the liquid depth beneath it, and the width of the channel. Model from [1]_ as reproduced in [2]_. Flow rate is given by: .. math:: Q = \frac{2}{3}\sqrt{2}\left(0.615 + \frac{0.000615}{h_1+0.0016}\right) b\sqrt{g} h_1 +0.5\left(\frac{h_1}{h_1+h_2}\right)^2b\sqrt{g} h_1^{1.5} Parameters ---------- h1 : float Height of the fluid above the crest of the weir [m] h2 : float Height of the fluid below the crest of the weir [m] b : float Width of the channel section [m] Returns ------- Q : float Volumetric flow rate across the weir [m^3/s] Notes ----- The following limits apply to the use of this equation: 0.025 < h < 0.8 m b > 0.3 m h2 > 0.3 m h1/h2 < 1 Examples -------- Example compares terribly with the Ackers expression - probable error in [2]_. DO NOT USE. >>> Q_weir_rectangular_full_SIA(h1=0.3, h2=0.4, b=2) 1.1875825055400384 References ---------- .. [1] Normen für Wassermessungen: bei Durchführung von Abnahmeversuchen an Wasserkraftmaschinen. SIA, 1924. .. [2] Blevins, Robert D. Applied Fluid Dynamics Handbook. New York, N.Y.: Van Nostrand Reinhold Co., 1984. ''' Q = 2/3.*sqrt(2)*(0.615 + 0.000615/(h1 + 0.0016))*b*sqrt(g)*h1 \ + 0.5*(h1/(h1+h2))**2*b*sqrt(g)*h1**1.5 return Q def Q_weir_rectangular_full_Rehbock(h1, h2, b): r'''Calculates the flow rate across a full-channel rectangular weir from the height of the liquid above the crest of the weir, the liquid depth beneath it, and the width of the channel. Model from [1]_ as reproduced in [2]_. Flow rate is given by: .. math:: Q = \frac{2}{3}\sqrt{2}\left(0.602 + 0.0832\frac{h_1}{h_2}\right) b\sqrt{g} (h_1 +0.00125)^{1.5} Parameters ---------- h1 : float Height of the fluid above the crest of the weir [m] h2 : float Height of the fluid below the crest of the weir [m] b : float Width of the channel section [m] Returns ------- Q : float Volumetric flow rate across the weir [m^3/s] Notes ----- The following limits apply to the use of this equation: 0.03 m < h1 < 0.75 m b > 0.3 m h2 > 0.3 m h1/h2 < 1 Examples -------- >>> Q_weir_rectangular_full_Rehbock(h1=0.3, h2=0.4, b=2) 0.6486856330601333 References ---------- .. [1] King, H. W., Floyd A. Nagler, A. Streiff, R. L. Parshall, W. S. Pardoe, R. E. Ballester, Gardner S. Williams, Th Rehbock, Erik G. W. Lindquist, and Clemens Herschel. "Discussion of 'Precise Weir Measurements.'" Transactions of the American Society of Civil Engineers 93, no. 1 (January 1929): 1111-78. .. [2] Blevins, Robert D. Applied Fluid Dynamics Handbook. New York, N.Y.: Van Nostrand Reinhold Co., 1984. ''' return 2/3.*sqrt(2)*(0.602 + 0.0832*h1/h2)*b*sqrt(g)*(h1+0.00125)**1.5 #print [Q_weir_rectangular_full_Rehbock(h1=0.3, h2=0.4, b=2)] def Q_weir_rectangular_full_Kindsvater_Carter(h1, h2, b): r'''Calculates the flow rate across a full-channel rectangular weir from the height of the liquid above the crest of the weir, the liquid depth beneath it, and the width of the channel. Model from [1]_ as reproduced in [2]_. Flow rate is given by: .. math:: Q = \frac{2}{3}\sqrt{2}\left(0.602 + 0.0832\frac{h_1}{h_2}\right) b\sqrt{g} (h_1 +0.00125)^{1.5} Parameters ---------- h1 : float Height of the fluid above the crest of the weir [m] h2 : float Height of the fluid below the crest of the weir [m] b : float Width of the channel section [m] Returns ------- Q : float Volumetric flow rate across the weir [m^3/s] Notes ----- The following limits apply to the use of this equation: h1 > 0.03 m b > 0.15 m h2 > 0.1 m h1/h2 < 2 Examples -------- >>> Q_weir_rectangular_full_Kindsvater_Carter(h1=0.3, h2=0.4, b=2) 0.641560300081563 References ---------- .. [1] Kindsvater, Carl E., and Rolland W. Carter. "Discharge Characteristics of Rectangular Thin-Plate Weirs." Journal of the Hydraulics Division 83, no. 6 (December 1957): 1-36. .. [2] Blevins, Robert D. Applied Fluid Dynamics Handbook. New York, N.Y.: Van Nostrand Reinhold Co., 1984. ''' Q = 2/3.*sqrt(2)*(0.602 + 0.075*h1/h2)*(b - 0.001)*sqrt(g)*(h1 + 0.001)**1.5 return Q #print [Q_weir_rectangular_full_Kindsvater_Carter(h1=0.3, h2=0.4, b=2)] ### Open flow calculations - Manning and Chezy def V_Manning(Rh, S, n): r'''Predicts the average velocity of a flow across an open channel of hydraulic radius Rh and slope S, given the Manning roughness coefficient n. Flow rate is given by: .. math:: V = \frac{1}{n} R_h^{2/3} S^{0.5} Parameters ---------- Rh : float Hydraulic radius of the channel, Flow Area/Wetted perimeter [m] S : float Slope of the channel, m/m [-] n : float Manning roughness coefficient; traditionally in the correct units, [s/m^(1/3)] Returns ------- V : float Average velocity of the channel [m/s] Notes ----- This is equation is often given in imperial units multiplied by 1.49. Although `n` could be converted to be in imperial units, in practice this has not been done and all tables keep it in the units of s/m^(1/3). Examples -------- Example is from [2]_, matches. >>> V_Manning(0.2859, 0.005236, 0.03) 1.0467781958118971 References ---------- .. [1] Blevins, Robert D. Applied Fluid Dynamics Handbook. New York, N.Y.: Van Nostrand Reinhold Co., 1984. .. [2] Cengel, Yunus, and John Cimbala. Fluid Mechanics: Fundamentals and Applications. Boston: McGraw Hill Higher Education, 2006. ''' return Rh**(2.0/3.)*sqrt(S)/n def n_Manning_to_C_Chezy(n, Rh): r'''Converts a Manning roughness coefficient to a Chezy coefficient, given the hydraulic radius of the channel. .. math:: C = \frac{1}{n}R_h^{1/6} Parameters ---------- n : float Manning roughness coefficient [s/m^(1/3)] Rh : float Hydraulic radius of the channel, Flow Area/Wetted perimeter [m] Returns ------- C : float Chezy coefficient [m^0.5/s] Notes ----- Examples -------- Custom example, checked. >>> n_Manning_to_C_Chezy(0.05, Rh=5) 26.15320972023661 References ---------- .. [1] Chow, Ven Te. Open-Channel Hydraulics. New York: McGraw-Hill, 1959. ''' return 1./n*Rh**(1/6.) def C_Chezy_to_n_Manning(C, Rh): r'''Converts a Chezy coefficient to a Manning roughness coefficient, given the hydraulic radius of the channel. .. math:: n = \frac{1}{C}R_h^{1/6} Parameters ---------- C : float Chezy coefficient [m^0.5/s] Rh : float Hydraulic radius of the channel, Flow Area/Wetted perimeter [m] Returns ------- n : float Manning roughness coefficient [s/m^(1/3)] Notes ----- Examples -------- Custom example, checked. >>> C_Chezy_to_n_Manning(26.15, Rh=5) 0.05000613713238358 References ---------- .. [1] Chow, Ven Te. Open-Channel Hydraulics. New York: McGraw-Hill, 1959. ''' return Rh**(1/6.)/C def V_Chezy(Rh, S, C): r'''Predicts the average velocity of a flow across an open channel of hydraulic radius Rh and slope S, given the Chezy coefficient C. Flow rate is given by: .. math:: V = C\sqrt{S R_h} Parameters ---------- Rh : float Hydraulic radius of the channel, Flow Area/Wetted perimeter [m] S : float Slope of the channel, m/m [-] C : float Chezy coefficient [m^0.5/s] Returns ------- V : float Average velocity of the channel [m/s] Notes ----- Examples -------- Custom example, checked. >>> V_Chezy(Rh=5, S=0.001, C=26.153) 1.8492963648371776 References ---------- .. [1] Blevins, Robert D. Applied Fluid Dynamics Handbook. New York, N.Y.: Van Nostrand Reinhold Co., 1984. .. [2] Cengel, Yunus, and John Cimbala. Fluid Mechanics: Fundamentals and Applications. Boston: McGraw Hill Higher Education, 2006. .. [3] Chow, Ven Te. Open-Channel Hydraulics. New York: McGraw-Hill, 1959. ''' return C*sqrt(S*Rh) ### Manning coefficients # Tuple of minimum, average, maximum n_closed_conduit = { 'Brass': { 'Smooth': (0.009, 0.01, 0.013), }, 'Steel': { 'Lockbar and welded': (0.01, 0.012, 0.014), 'Riveted and spiral': (0.013, 0.016, 0.017), }, 'Cast Iron': { 'Coated ': (0.01, 0.013, 0.014), 'Uncoated': (0.011, 0.014, 0.016), }, 'Wrought Iron': { 'Black ': (0.012, 0.014, 0.015), 'Galvanized': (0.013, 0.016, 0.017), }, 'Corrugated metal': { 'Subdrain': (0.017, 0.019, 0.021), 'Storm drain': (0.021, 0.024, 0.03), }, 'Acrylic': { 'Smooth': (0.008, 0.009, 0.01), }, 'Glass': { 'Smooth': (0.009, 0.01, 0.013), }, 'Cement': { 'Neat, surface': (0.01, 0.011, 0.013), 'Mortar': (0.011, 0.013, 0.015), }, 'Concrete': { 'Culvert, straight and free of debris': (0.01, 0.011, 0.013), 'Culvert, some bends, connections, and debris': (0.011, 0.013, 0.014), 'Finished': (0.011, 0.012, 0.014), 'Sewer with manholes, inlet, straight': (0.013, 0.015, 0.017), 'Unfinished, steel form': (0.012, 0.013, 0.014), 'Unfinished, smooth wood form': (0.012, 0.014, 0.016), 'Unfinished, rough wood form': (0.015, 0.017, 0.02), }, 'Wood': { 'Stave': (0.01, 0.012, 0.014), 'Laminated, treated': (0.015, 0.017, 0.02), }, 'Clay': { 'Common drainage tile': (0.011, 0.013, 0.017), 'Vitrified sewer': (0.011, 0.014, 0.017), 'Vitrified sewer with manholes, inlet, etc.': (0.013, 0.015, 0.017), 'Vitrified Subdrain with open joint': (0.014, 0.016, 0.018), }, 'Brickwork': { 'Glazed': (0.011, 0.013, 0.015), 'Lined with cement mortar': (0.012, 0.015, 0.017), }, 'Other': { 'Sanitary sewers coated with sewage slime with bends and connections': (0.012, 0.013, 0.016), 'Paved invert, sewer, smooth bottom': (0.016, 0.019, 0.02), 'Rubble masonry, cemented': (0.018, 0.025, 0.03), } } n_lined_built = { 'Metal': { 'Smooth steel, unpainted': (0.011, 0.012, 0.014), 'Smooth steel, painted': (0.012, 0.013, 0.017), 'Corrugated': (0.021, 0.025, 0.03), }, 'Cement': { 'Neat, surface': (0.01, 0.011, 0.013), 'Mortar': (0.011, 0.013, 0.015), }, 'Wood': { 'Planed, untreated': (0.01, 0.012, 0.014), 'Planed, creosoted': (0.011, 0.012, 0.015), 'Unplaned': (0.011, 0.013, 0.015), 'Plank with battens': (0.012, 0.015, 0.018), 'Lined with Roofing paper': (0.01, 0.014, 0.017), }, 'Concrete': { 'Trowel finish': (0.011, 0.013, 0.015), 'Float finish': (0.013, 0.015, 0.016), 'Finished, with gravel on bottom': (0.015, 0.017, 0.02), 'Unfinished': (0.014, 0.017, 0.02), 'Gunite, good section': (0.016, 0.019, 0.023), 'Gunite, wavy section': (0.018, 0.022, 0.025), 'On good excavated rock': (0.017, 0.02, 0.02), 'On irregular excavated rock': (0.022, 0.027, 0.027), }, 'Concrete bottom float': { 'Finished with sides of dressed stone in mortar': (0.015, 0.017, 0.02), 'Finished with sides of random stone in mortar': (0.017, 0.02, 0.024), 'Finished with sides of cement rubble masonry, plastered': (0.016, 0.02, 0.024), 'Finished with sides of cement rubble masonry': (0.02, 0.025, 0.03), 'Finished with sides of dry rubble or riprap': (0.02, 0.03, 0.035), }, 'Gravel bottom': { 'Sides of formed concrete': (0.017, 0.02, 0.025), 'Sides of random stone in mortar': (0.02, 0.023, 0.026), 'Sides of dry rubble or riprap': (0.023, 0.033, 0.036), }, 'Brick': { 'Glazed': (0.011, 0.013, 0.015), 'In-cement mortar': (0.012, 0.015, 0.018), }, 'Masonry': { 'Cemented rubble': (0.017, 0.025, 0.03), 'Dry rubble': (0.023, 0.032, 0.035), }, 'Dressed ashlar': { 'Stone paving': (0.013, 0.015, 0.017), }, 'Asphalt': { 'Smooth': (0.013, 0.013, 0.013), 'Rough': (0.016, 0.016, 0.016), }, 'Vegatal': { 'Lined': (0.03, 0.4, 0.5), } } n_excavated_dredged = { 'Earth, straight, and uniform': { 'Clean, recently completed': (0.016, 0.018, 0.02), 'Clean, after weathering': (0.018, 0.022, 0.025), 'Gravel, uniform section, clean': (0.022, 0.025, 0.03), 'With short grass and few weeds': (0.022, 0.027, 0.033), }, 'Earth, winding and sluggish': { 'No vegetation': (0.023, 0.025, 0.03), 'Grass and some weeds': (0.025, 0.03, 0.033), 'Dense weeds or aquatic plants, in deep channels': (0.03, 0.035, 0.04), 'Earth bottom; rubble sides': (0.028, 0.03, 0.035), 'Stony bottom; weedy banks': (0.025, 0.035, 0.04), 'Cobble bottom; clean sides': (0.03, 0.04, 0.05), }, 'Dragline-excavated or dredged': { 'No vegetation': (0.025, 0.028, 0.033), 'Light brush on banks': (0.035, 0.05, 0.06), }, 'Rock cuts': { 'Smooth and Uniform': (0.025, 0.035, 0.04), 'Jaged and Irregular': (0.035, 0.04, 0.05), }, 'Channels not maintained, with weeds and uncut brush': { 'Dense weeds, as high as the flow depth': (0.05, 0.08, 0.12), 'Clean bottom, brush on sides': (0.04, 0.05, 0.08), 'Clean bottom, brush on sides, highest stage of flow': (0.045, 0.07, 0.11), 'Dense brush, high stage': (0.08, 0.1, 0.14), } } n_natural = { 'Major streams': { 'Irregular, rough': (0.035, 0.07, 0.1), }, 'Flood plains': { 'Pasture, no brush, short grass': (0.025, 0.03, 0.035), 'Pasture, no brush, high grass': (0.03, 0.035, 0.05), 'Cultivated areas, no crop': (0.02, 0.03, 0.04), 'Cultivated areas, mature row crops': (0.025, 0.035, 0.045), 'Cultivated areas, mature field crops': (0.03, 0.04, 0.05), 'Brush, scattered brush, heavy weeds': (0.035, 0.05, 0.07), 'Brush, light brush and trees, in winter': (0.035, 0.05, 0.06), 'Brush, light brush and trees, in summer': (0.04, 0.06, 0.08), 'Brush, medium to dense brush, in winter': (0.045, 0.07, 0.11), 'Brush, medium to dense brush, in summer': (0.07, 0.1, 0.16), 'Trees, dense willows, summer, straight': (0.11, 0.15, 0.2), 'Trees, cleared land with tree stumps, no sprouts': (0.03, 0.04, 0.05), 'Trees, cleared land with tree stumps, heavy growth of sprouts': (0.05, 0.06, 0.08), 'Trees, heavy stand of timber, a few down trees, little undergrowth, flood stage below branches': (0.08, 0.1, 0.12), 'Trees, heavy stand of timber, a few down trees, little undergrowth, flood stage reaching branches': (0.1, 0.12, 0.16), }, 'Minor streams': { 'Mountain streams, no vegetation in channel, banks steep, trees and bush on the banks submerged to high stages, with gravel, cobbles and few boulders on bottom': (0.03, 0.04, 0.05), 'Mountain streams, no vegetation in channel, banks steep, trees and bush on the banks submerged to high stages, with cobbles and large boulders on bottom': (0.04, 0.05, 0.07), 'Plain streams, clean, straight, full stage, no rifts or deep pools': (0.025, 0.03, 0.033), 'Plain streams, clean, straight, full stage, no rifts or deep pools, more stones and weeds': (0.03, 0.035, 0.04), 'Clean, winding, some pools and shoals': (0.033, 0.04, 0.045), 'Clean, winding, some pools and shoals, some weeds and stones': (0.035, 0.045, 0.05), 'Clean, winding, some pools and shoals, some weeds and stones, lower stages, less effective slopes and sections': (0.04, 0.048, 0.055), 'Clean, winding, some pools and shoals, more weeds and stones': (0.045, 0.05, 0.06), 'Sluggish reaches, weedy, deep pools': (0.05, 0.07, 0.08), 'Very weedy reaches, deep pools, or floodways with heavy stand of timber and underbrush': (0.075, 0.1, 0.15), } } n_dicts = [n_natural, n_excavated_dredged, n_lined_built, n_closed_conduit] # TODO lookup function to determine the nearest hit based on string matching fluids-1.0.22/fluids/data/0000755000175000017500000000000014302004506014601 5ustar nileshnileshfluids-1.0.22/fluids/data/Miller 2E 1990 entrances rounded beveled K.csv0000644000175000017500000000606614302004506024512 0ustar nileshnileshx,45 3.46945e-18,0.517486 0.002245,0.50302 0.00449,0.489406 0.006174,0.477493 0.0087,0.464445 0.010945,0.451397 0.013471,0.438349 0.015996,0.425301 0.018522,0.412252 0.02217,0.396934 0.025257,0.384451 0.028344,0.371402 0.031993,0.359486 0.035641,0.34757 0.039289,0.335654 0.043218,0.323737 0.047428,0.312387 0.054443,0.296494 0.059214,0.28571 0.063704,0.275494 0.068756,0.265844 0.074369,0.257326 0.079981,0.249943 0.085875,0.243694 0.092049,0.238011 0.100748,0.232324 0.107484,0.230043 0.114219,0.227194 0.120954,0.224346 0.127689,0.222065 0.134425,0.220351 0.14116,0.21807 0.147895,0.215788 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0.100748,0.08204 0.107203,0.076924 0.113658,0.072375 0.120393,0.06896 0.127128,0.066111 0.133863,0.064397 0.140879,0.062683 0.147615,0.062103 0.151824,0.060961 0.15884,0.06038 0.165575,0.059233 0.172591,0.05922 0.179607,0.059207 0.186623,0.059194 0.193639,0.05918 0.200655,0.059734 0.207951,0.059153 0.214967,0.058573 0.221983,0.05856 0.228718,0.05798 0.235734,0.057399 0.24275,0.057386 0.249766,0.057373 0.250889,0.057371 0.257905,0.05679 0.26492,0.056777 0.271936,0.056764 0.278952,0.056183 0.285968,0.05617 0.292703,0.05559 0.299719,0.055577 fluids-1.0.22/fluids/data/Miller 2E 1990 conical contractions K part 1.csv0000644000175000017500000000622314302004506024662 0ustar nileshnileshx,.4 0.100435,1.19432 0.104546,1.27929 0.108824,1.36534 0.114938,1.46228 0.121395,1.56611 0.129621,1.67104 0.138401,1.77009 0.148315,1.87495 0.158937,1.97162 0.170318,2.05825 0.183846,2.15637 0.19917,2.24272 0.201358,2.2671 0.218934,2.34924 0.238044,2.43436 0.257883,2.52265 0.28141,2.59502 0.30597,2.66956 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99999 SANDANE/ANDA NO 61.833 6.117000000000001 60.0 20080101 20081231 010884 99999 GEITERYGGEN NO ENSN 59.185 9.567 141.1 20050103 20151109 010885 99999 BATSFJORD NO 70.6 29.733 153.0 19940718 20081231 010886 99999 SLEIPNER A OIL PLATFORM NO ENSL 58.367 1.9 30.0 20090201 20200624 010887 99999 TROLL C OIL PLATFORM NO ENQC 60.886 3.61 20.0 20110512 20200624 010890 99999 HOYBUKTMOEN NO ENKR 69.726 29.893 86.3 19401101 20200624 010920 99999 MAKKAUR FYR NO 70.7 30.083000000000002 9.0 19730101 20200402 010970 99999 SVARTNES NO 70.35 31.05 12.0 19930209 20081231 010980 99999 VARDO NO 70.367 31.1 15.0 19310103 20200623 010985 99999 19741117 19750904 010986 99999 19741117 19750904 010987 99999 19741117 19750904 010990 99999 VARDO AP / SVARTNES NO ENSS 70.355 31.045 12.8 20050102 20200624 011010 99999 BOGUS NORWEGIAN NO 19851202 20041105 011020 99999 SKLINNA FYR NO 65.2 11.0 16.0 19750228 20200624 011025 99999 HEIDRUN NO ENHE 65.333 7.317 80.0 19990424 20200624 011030 99999 LEKA NO 65.1 11.7 47.0 19730101 20070307 011040 99999 ROTVAER NO 68.367 15.95 8.0 20080101 20080817 011050 99999 ROTVAER NO 68.367 15.95 8.0 19730101 20200624 011051 99999 SKOMVAER (LGT-H) NO 67.417 11.883 18.0 20070307 20070307 011060 99999 ROEST III NO 67.517 12.1 2.0 19280101 20081204 011070 99999 ROST (NOR-AFB) NO ENRS 67.517 12.1 4.0 19880303 20200624 011080 99999 VEGA-VALLSJO NO 65.7 11.85 9.1 19910801 20200624 011090 99999 SKALVAER NO 65.867 12.183 6.0 19730101 19800910 011100 99999 YTTERHOLMEN FYR NO 66.0 11.683 33.0 19961201 20050319 011110 99999 BRONNOYSUND NO 65.467 12.217 5.0 19730116 19730718 011120 99999 BRONNOY NO ENBN 65.461 12.218 7.6 19730101 20200624 011130 99999 GLOMFJORD NO 66.8 13.982999999999999 39.0 20040406 20091216 011133 99999 DAGALI NO ENDI 60.417 8.513 798.0 19860509 20030427 011140 99999 REIPA NO 66.9 13.633 8.0 20090702 20200624 011150 99999 MYKEN NO 66.767 12.482999999999999 13.0 19730101 20200624 011160 99999 STOKKA NO ENST 65.95 12.467 17.1 19730401 20200624 011170 99999 TJOTTA NO 65.817 12.417 21.0 20040119 20200624 011210 99999 SOLVAER III NO 66.367 12.617 10.0 19730101 20200624 011220 99999 KJAERSTAD NO ENMS 65.78399999999999 13.215 72.2 19881014 20200624 011240 99999 SNASA NO 64.167 12.467 195.0 20050218 20200624 011310 99999 GLAPEN LIGHTHOUSE NO 67.883 13.05 31.0 19730101 19850625 011320 99999 MAJAVATN V NO 65.167 13.367 319.0 20080229 20200624 011330 99999 LAKSFORS NO 65.617 13.283 50.0 20111129 20200624 011340 99999 MAJAVATN III NO 65.183 13.417 339.0 19730101 20070630 011350 99999 SELJELIA NO 66.117 13.583 123.0 20111129 20200624 011370 99999 STOTT NO 66.933 13.45 12.0 19730806 20070307 011380 99999 TENNHOLMEN (LGT-H) NO 67.3 13.5 14.0 19850912 20070307 011390 99999 VAEROY HELIPORT NO ENVR 67.65 12.717 4.0 20110928 20200624 011410 99999 LEKNES NO ENLK 68.15 13.617 26.0 19730620 20200624 011430 99999 DRAG-AJLUOKTA NO 68.05 16.083 19.0 20070806 20180917 011440 99999 HELLIGVAER II NO 67.4 13.883 24.0 20050315 20200624 011450 99999 KVALNES I LOFOTEN NO 68.35 13.967 15.0 19730101 19820504 011460 99999 SKAMDAL NO 66.233 13.883 5.0 19730101 20200624 011470 99999 VARNTRESK NO 65.833 14.183 406.0 19400907 20200624 011480 99999 STORFORSHEI NO 66.383 14.517000000000001 110.0 20110616 20200624 011490 99999 RANA-BASMOEN NO 66.333 14.1 42.0 19730101 20070228 011500 99999 HJARTASEN NO 66.5 14.95 251.0 19730103 20200624 011501 99999 HATTFJELLDAL-KRUTA NO 65.683 14.167 385.0 20020312 20020312 011505 99999 19751101 19751130 011510 99999 MOIRANA NO ENRA 66.367 14.3 70.0 19730401 20200624 011520 99999 BODO NO ENBO 67.26899999999999 14.365 12.8 19400917 20200624 011530 99999 BODO-VAGONES NO 67.283 14.45 33.0 20111003 20140611 011540 99999 LITLOY FYR NO 68.583 14.3 30.0 19940406 20170801 011550 99999 BO I VESTERALEN II NO 68.633 14.467 12.0 19730101 20041201 011560 99999 BO I VESTERALEN NO 68.6 14.433 7.6 20040510 20200624 011580 99999 SETSA NO 67.167 15.482999999999999 8.0 20100114 20200624 011600 99999 SKROVA FYR NO 68.15 14.65 11.0 19730101 20200624 011610 99999 SVOLVAER/HELLE NO ENSH 68.25 14.667 9.0 19730620 20200624 011620 99999 STORKMARKNES/SKAGEN NO ENSK 68.583 15.017000000000001 3.0 19730620 20200624 011630 99999 BOLNA NO 66.5 15.25 549.0 19730101 19770823 011650 99999 GROTOY NO 67.833 14.783 6.0 19730101 19781031 011670 99999 SORTLAND NO 68.7 15.417 3.0 19850201 20191222 011680 99999 KLEIVA I SORTLAND NO 68.65 15.283 23.0 19730101 20060611 011690 99999 SALTDAL-NORDNES NO 66.933 15.317 37.0 19830101 20200624 011691 99999 OVRE SALTDAL NO 66.967 15.317 26.0 19730101 19781008 011700 99999 FAUSKE-VETEN NO 67.233 15.317 165.0 19730101 19900307 011720 99999 FINNOY I HAMAROY NO 68.0 15.617 53.0 19730101 20060311 011730 99999 19730101 19730731 011751 99999 LODINGEN NO 68.4 16.0 10.0 20040108 20040108 011760 99999 KONGSVIK NO 68.567 16.267 25.0 19730101 19780118 011800 99999 HARSTAD NO 68.8 16.533 45.0 20040510 20200624 011820 99999 EVENSKJER NO 68.583 16.583 7.0 19730101 19851119 011830 99999 EVENES NO ENEV 68.491 16.678 25.6 19750905 20200624 011840 99999 SANDSOY I SENJA NO 68.933 16.683 45.0 19730101 19780613 011841 99999 SANDSOY NO 68.933 16.683 45.0 20070307 20070307 011890 99999 LILAND NO 68.483 16.883 19.0 19730102 20050302 011895 99999 19731008 19750904 011910 99999 SKJOMEN-SLETTJORD NO 68.283 17.317 6.0 19730101 19961104 011920 99999 STRAUMSNES NO 68.417 17.65 200.0 20110203 20200624 011930 99999 NARVIK III/FRAMNES NO ENNK 68.467 17.5 23.0 20010706 20170403 011940 99999 NARVIK III NO ENNK 68.467 17.5 23.0 19730101 20041231 011960 99999 TENNEVOLL NO 68.75 17.817 21.0 19730101 20020808 011980 99999 DIVIDALEN II NO 68.783 19.7 204.0 20100114 20200624 011990 99999 SIHCCAJAVRI NO 68.75 23.533 382.0 19490101 20200624 012030 99999 KRAKENES NO 62.033 4.9830000000000005 41.0 19310904 20200624 012050 99999 SVINOY LH NO 62.333 5.267 37.2 19730101 20200624 012070 99999 FISKABYGD NO 62.1 5.582999999999999 41.0 20040510 20180630 012090 99999 ORSTA-VOLDA/HOVDEN NO ENOV 62.183 6.067 74.0 19841211 20200624 012091 99999 ORSTA-VOLDA/HOVD NO ENOV 62.183 6.05 74.0 19840910 19841127 012100 99999 VIGRA NO ENAL 62.56 6.11 21.0 19730101 20200624 012120 99999 ONA II NO 62.867 6.5329999999999995 15.0 19550101 20200624 012140 99999 REKDAL NO 62.65 6.767 43.0 20090112 20200624 012150 99999 HJELVIK MYRBO NO 62.62 7.23 35.0 19730101 20090630 012160 99999 HJELVIK I ROMSDAL NO 62.617 7.2170000000000005 16.0 19731226 20020527 012161 99999 GJERMUNDNES NO 62.617 7.167000000000001 49.0 20040412 20040412 012170 99999 ARO NO ENML 62.745 7.263 3.0 19760201 20200624 012180 99999 TAFJORD NO 62.233000000000004 7.417000000000001 17.0 19730101 20200624 012200 99999 MANNEN NO 62.45 7.767 1294.0 20100315 20200624 012210 99999 TAGDALEN NO 63.05 9.083 415.0 20080115 20200624 012220 99999 19730101 19751231 012230 99999 KVERNBERGET NO ENKB 63.111999999999995 7.825 62.2 19730101 20200624 012240 99999 AALESUND NO 62.467 6.2170000000000005 50.0 19841201 20200616 012250 99999 VEIHOLMEN NO 63.516999999999996 7.95 5.0 19730101 20200624 012270 99999 INNERDALEN NO 62.717 8.783 405.0 19730101 20200624 012273 99999 TINGVOLL-HANEM NO 62.833 8.3 69.0 20050101 20150108 012280 99999 SULA NO 63.85 8.467 6.0 19730101 20200624 012300 99999 BJORLI NO 62.266999999999996 8.2 579.0 19730101 20200624 012310 99999 LESJASKOG NO 62.233000000000004 8.367 621.0 19771030 20080731 012320 99999 VINJEORA II NO 62.45 7.85 67.0 19730101 20200624 012330 99999 DOMBAAS NO 62.083 9.117 638.0 20061121 20200624 012340 99999 ORKDAL-THAMSHAMN NO 63.317 9.85 4.0 20061121 20200624 012350 99999 DOMBAS-KIRKENAER NO 62.083 9.133 645.0 19360101 19760602 012360 99999 KJOREMSGRENDE NO 62.1 9.05 626.0 20050218 20100104 012370 99999 HITRA NO 63.516999999999996 9.117 13.0 20050402 20200624 012380 99999 FOKSTUA II NO 62.117 9.283 974.0 19730101 20200624 012390 99999 HJERKINN II NO 62.217 9.55 1012.0 20100907 20200624 012400 99999 HALTEN FYR NO 64.167 9.4 16.0 19850110 20200624 012410 99999 ORLAND NO ENOL 63.699 9.604 8.5 19730101 20200624 012420 99999 AFJORD II NO 63.967 10.217 30.0 20080115 20200624 012430 99999 SONGLI NO 63.333 9.65 300.0 19730101 19761119 012450 99999 OPPDAL-SETER NO 62.6 9.667 606.0 19760201 20200624 012480 99999 VALLERSUND NO 63.85 9.732999999999999 4.0 19730101 19751219 012500 99999 FOLLDAL-FREDHEIM NO 62.133 10.0 694.0 20110928 20200624 012520 99999 BERKAK-LYNGHOLT NO 62.817 10.017000000000001 475.0 19730101 20080930 012530 99999 SOKNEDAL NO 62.95 10.183 299.0 20090112 20200624 012540 99999 KOTSOY NO 62.983000000000004 10.55 127.0 20090112 20200624 012570 99999 TRONDHEIM/VOLL NO 63.417 10.45 131.5 20040406 20200624 012580 99999 TRONDHEIM (TYHOLT) NO 63.417 10.433 113.0 19730101 19810714 012590 99999 BUHOLMRASA LH NO 64.4 10.45 18.4 19730101 20200624 012620 99999 NORDOYAN FYR NO 64.8 10.55 33.0 19280102 20200624 012650 99999 TYNSET-HANSMOEN NO 62.266999999999996 10.732999999999999 482.3 19490101 20200624 012680 99999 19730101 19750125 012700 99999 KVITHAMAR NO 63.483000000000004 10.883 40.0 20111003 20200624 012710 99999 VAERNES NO ENVA 63.458 10.94 17.1 19400413 20200624 012720 99999 FROSTA NO 63.567 10.7 70.0 20110929 20200624 012730 99999 SELBU NO 63.233000000000004 11.017000000000001 160.0 20071016 20200622 012740 99999 SELBU-STUBBE NO 63.2 11.117 242.0 19730101 20061115 012770 99999 STEINKJER NO 64.017 11.45 80.0 19730101 20200624 012771 99999 LEVANGER-EGGEN NO 63.717 11.232999999999999 97.0 19730101 19730216 012780 99999 VERDAL-REPPE NO 63.783 11.683 83.0 19850102 20181031 012800 99999 NAMDALSEID-VENGSTAD NO 64.133 11.333 118.0 19730101 20081231 012810 99999 NAMSSKOGAN NO 64.733 12.85 140.0 20070105 20200624 012820 99999 RORVIK/RYUM NO ENRM 64.85 11.232999999999999 14.0 19950901 20200624 012823 99999 RORVIK/RYUM NO 64.85 11.232999999999999 14.0 19910827 19950831 012870 99999 SOLENDET NO 62.683 11.817 747.0 20080115 20200624 012880 99999 ROROS NO 62.567 11.383 630.0 19730101 20200624 012890 99999 ROROS LUFTHAVN NO ENRO 62.583 11.35 626.0 19840909 20041230 012891 99999 ROROS/AIRPORT NO ENRO 62.583 11.383 626.0 19790301 19840817 012900 99999 NAMSOS AIRPORT NO ENNM 64.467 11.583 2.0 19730401 20200624 012910 99999 GARTLAND NO 64.533 12.383 95.0 20090112 20200624 012920 99999 MERAKER-UTSYN NO 63.417 11.7 240.0 19730101 20040930 012930 99999 MERAKER-EGGE NO 63.417 11.732999999999999 171.0 20050215 20200624 012940 99999 19730101 19740629 012950 99999 HOYLANDET NO 64.55 12.15 27.0 19730101 20070612 012960 99999 BERG I SNASA NO 64.25 12.417 127.0 19730101 19770606 012980 99999 NORDLI-HOLAND NO 64.45 13.717 433.0 19730101 20191016 013000 99999 GULLFAKS C NO 61.2 2.267 78.0 20010601 20200624 013005 99999 STATFJORD OIL PLATFORM HELIPORT FO ENSF 61.25 1.85 117.7 19841204 20200623 013040 99999 YTTEROYANE FYR NO 61.567 4.683 25.0 19840901 20200624 013060 99999 HELLISOY FYR NO 60.75 4.717 23.0 19730101 20041229 013070 99999 FEDJE NO 60.75 4.717 20.0 20050218 20200624 013080 99999 FURUNESET NO 61.3 5.05 7.0 20110928 20200624 013090 99999 KINN ISLAND NO 61.567 4.8 10.0 19310104 20051022 013100 99999 FLORO NO ENFL 61.583999999999996 5.025 11.3 19800407 20200624 013110 99999 FLESLAND NO ENBR 60.293 5.218 51.8 19730101 20200624 013140 99999 FOSSMARK NO 60.516999999999996 5.7170000000000005 10.0 20120615 20200624 013150 99999 EVANGER NO 60.633 6.1 17.0 20101214 20200624 013160 99999 BERGEN-FREDRIKSBERG NO 60.4 5.317 40.0 19730101 19851230 013170 99999 BERGEN/FLORIDA NO 60.383 5.332999999999999 36.0 19730101 20200624 013180 99999 SANDANE NO 61.783 6.183 51.0 20050614 20171231 013190 99999 TAKLE NO 61.033 5.382999999999999 38.0 19730101 20200624 013200 99999 SANDANE/ANDA NO ENSD 61.833 6.117000000000001 60.0 19810904 20200624 013210 99999 STRYN NO 61.9 6.55 208.0 19730101 20200624 013220 99999 FORDE-TEFRE NO 61.467 5.917000000000001 64.0 19730101 20171223 013230 99999 BRINGELAND NO ENBL 61.393 5.763999999999999 327.0 19840502 20200624 013250 99999 MODALEN II NO 60.833 5.95 114.0 19730101 20080924 013260 99999 MODALEN III NO 60.85 5.983 125.0 20081008 20200624 013270 99999 KVAMSKOGEN-JONSHOGDI NO 60.383 5.9670000000000005 455.0 20061121 20200624 013280 99999 KVAMSKOGEN NO 60.4 5.917000000000001 408.0 19730101 20060726 013290 99999 KVAMSOY NO 60.35 6.267 50.0 20050218 20200624 013300 99999 OMASTRAND NO 60.217 5.983 6.0 19730101 20050910 013320 99999 FJAERLAND BREMUSEET NO 61.43 6.77 3.0 20060201 20200624 013360 99999 BULKEN NO 60.65 6.2170000000000005 328.0 19730101 20200624 013370 99999 VOSSEVANGEN NO 60.633 6.433 55.0 20050218 20200624 013380 99999 VANGSNES NO 61.167 6.65 51.0 20040706 20200624 013390 99999 VANGSNES NO 61.167 6.65 53.0 19730101 20011102 013400 99999 FET I EIDFJORD NO 60.42 7.28 737.0 20050726 20200624 013410 99999 EIDFJORD-BU NO 60.467 6.867000000000001 166.0 19830101 20070227 013420 99999 ULLENSVANG NO 60.317 6.65 12.0 19730101 20200624 013440 99999 MJOLFJELL NO 60.7 6.95 695.0 19730101 20200624 013450 99999 KLEVAVATNET NO 60.717 7.2170000000000005 960.0 19731007 20200624 013460 99999 MIDTSTOVA NO 60.65 7.267 1162.0 20111125 20200624 013470 99999 SOGNDAL HAUKASEN NO ENSG 61.156000000000006 7.1370000000000005 511.0 19850118 20200624 013471 99999 SOGNDAL/HAUKASEN NO ENSG 61.167 7.132999999999999 498.0 19840801 19841217 013500 99999 FINSEVATN NO 60.6 7.5329999999999995 1208.0 20030330 20200624 013510 99999 FINSE III NO 60.6 7.5 1224.0 19730102 20011210 013520 99999 SANDHAUG NO 60.183 7.483 1250.0 20040107 20200624 013550 99999 LAERDAL IV NO 61.1 7.5 5.0 19730101 20200624 013560 99999 FANNARAKI FO 61.516999999999996 7.9 2062.0 19881125 20140827 013570 99999 HOLLEKOLTEN NO 60.867 8.517000000000001 804.2 19730101 20200624 013580 99999 HEMSEDAL II NO 60.85 8.6 604.0 20110929 20200624 013590 99999 GEILO-OLDEBRATEN NO 60.533 8.2 773.0 19730101 20200624 013591 99999 HAUGASTOL NO 60.516999999999996 7.867000000000001 988.0 20070307 20070307 013600 99999 BRATA-SLETTOM NO 61.9 7.9 664.0 19730101 20200624 013610 99999 GROTLI III NO 62.016999999999996 7.667000000000001 872.0 19730101 20200624 013620 99999 JUVVASSHOE NO 61.667 8.367 1894.0 20090626 20200624 013630 99999 19730101 19740906 013640 99999 FILEFJELL NO 61.183 8.117 955.1 19490101 20200624 013650 99999 BEITOSTOLEN II NO 61.251000000000005 8.917 965.0 19730404 20200624 013660 99999 SOGNEFJELL NO 61.567 8.0 1413.0 19790301 20200624 013670 99999 FAGERNES NO 60.983000000000004 9.217 365.4 19821001 20200624 013671 99999 BEITOSTOLEN NO 61.233000000000004 8.933 828.0 19730101 19801105 013680 99999 LEIRIN NO ENFG 61.016000000000005 9.288 822.0 19881014 20200624 013690 99999 ABJORSBRATEN NO 60.917 9.283 639.0 19881001 20171230 013700 99999 SKABU NO 61.516999999999996 9.4 928.0 19730101 20200624 013710 99999 LOKEN I VOLBU NO 61.117 9.067 521.0 19730101 20200624 013720 99999 NESBYEN-SKOGLUND NO 60.567 9.133 167.0 19730101 20040121 013730 99999 NESBYEN-TODOKK NO 60.567 9.133 166.0 19730101 20200624 013740 99999 VEST-TORPA II NO 60.933 10.033 542.0 19810501 20200624 013741 99999 19730101 19790810 013743 99999 FAGERNES/LEIRIN & NO 61.0 9.3 822.0 19880105 19880913 013750 99999 KVITFJELL NO 61.467 10.133 1028.0 19730101 20200624 013755 99999 GULLFAX (PLATFORM) NO ENGC 61.033 2.033 10.0 19891115 20200624 013760 99999 GULSVIK II NO 60.383 9.6 142.0 19730101 20200624 013780 99999 LILLEHAMMER-SAETHERENGEN NO 61.1 10.467 239.0 19730101 20200624 013790 99999 SOR-NESSET NO 61.883 10.15 739.0 19730101 20051209 013800 99999 VENABU NO 61.65 10.117 930.0 19850110 20200613 013801 99999 KITTILBU NO 61.167 9.967 816.0 19741114 19840827 013810 99999 APELSVOLL NO 60.7 10.867 264.0 20111003 20200624 013820 99999 KISE NO 60.766999999999996 10.8 128.0 19730101 20200624 013830 99999 EVENSTAD-DIH NO 61.4 11.08 255.0 19730101 20200624 013839 99999 HAMAR / STAFSBERG NO ENHA 60.817 11.067 223.0 19870205 19900222 013840 99999 GARDERMOEN NO ENGM 60.193999999999996 11.1 207.6 19400511 20200624 013850 99999 HAMER NO 60.817 11.067 222.3 20061024 20200624 013860 99999 HAMAR II NO 60.8 11.1 132.0 20090701 20200624 013870 99999 FAVANG NO 61.45 10.183 200.0 20110929 20200624 013890 99999 RENA AP NO 61.183 11.367 255.7 19730101 20200624 013910 99999 FLISA NO 60.617 12.017000000000001 188.0 19730101 20050331 013920 99999 FLISA II NO 60.617 12.017000000000001 185.0 20050218 20200624 013930 99999 DREVSJO NO 61.883 12.033 673.5 19730101 20200624 013970 99999 TRYSIL VEGSTASJON NO 61.3 12.267000000000001 361.4 19730101 20200624 014000 99999 EKOFISK NO 56.55 3.217 48.8 19981223 20200624 014010 99999 FRIGG NO 59.983000000000004 2.25 48.0 20010601 20060718 014030 99999 UTSIRA FYR NO 59.3 4.867 56.3 19280102 20200624 014033 99999 EKOFISK OIL PLTFRM NO ENEK 56.55 3.25 48.8 19810506 20200624 014035 99999 KARMOY NO 59.35 5.2170000000000005 23.0 19751101 19840807 014060 99999 SLATTEROY FYR NO 59.917 5.067 16.0 19730101 20200624 014080 99999 KARMOY NO ENHD 59.345 5.207999999999999 26.2 19840909 20200624 014090 99999 SKUDENES NO 59.15 5.25 7.0 20050218 20051028 014110 99999 KVITSOY - NORDBO NO 59.067 5.417000000000001 22.0 20050612 20200624 014120 99999 OBRESTAD NO 58.65 5.567 26.0 19730101 20200624 014130 99999 SAERHEIM NO 58.75 5.65 87.0 20110928 20200624 014140 99999 ROVER NO 59.433 5.067 25.0 19890520 20200624 014150 99999 SOLA NO ENZV 58.876999999999995 5.638 8.8 19400410 20200624 014160 99999 STAVANGER VAALAND NO 58.95 5.733 72.0 20080724 20200624 014170 99999 NEDRE VATS NO 59.483000000000004 5.75 65.0 19730103 20200624 014180 99999 AUSTEVOLL NO 60.016999999999996 5.2 32.0 19730101 20200624 014190 99999 LIARVATN NO 59.05 6.117000000000001 300.0 20100702 20200624 014211 99999 INDRE MATRE NO 59.85 6.0 24.0 20020314 20020314 014220 99999 FISTER SIGMUNDSTAD NO 59.167 6.0329999999999995 25.0 20050101 20200624 014230 99999 FISTER-TONNEVIK NO 59.167 6.05 50.0 19730101 20041231 014240 99999 SAUDA NO 59.65 6.367000000000001 6.0 19730101 20200624 014250 99999 EIK HOVE NO 58.516999999999996 6.517 66.0 19730101 20200624 014260 99999 EIGEROYA NO 58.433 5.867000000000001 49.0 20040425 20200624 014270 99999 LISTA FYR NO 58.117 6.567 14.0 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14.367 360.0 19550101 19770630 020660 99999 SUNDSVALL/HARNOSAND SW ESNN 62.533 17.45 4.0 19550101 19770630 020670 99999 SARNA SW 61.683 13.133 505.0 19550103 19770630 020680 99999 DELSBO SW 61.8 16.567 93.0 19350101 19770630 020690 99999 SODERHAMN (SWE-AFB) SW ESCL 61.266999999999996 17.1 26.0 19550101 19770630 020700 99999 GUSTAVSFORS & SW 60.15 13.8 198.0 19730101 19770630 020710 99999 NORRKOPING-SOL SW 58.583 16.15 58.0 19550101 19591231 020711 99999 BORLANGE SW 60.417 15.517000000000001 153.0 19730101 19730121 020720 99999 PARKALOMPOLO SW 67.733 22.833000000000002 313.0 20010601 20200624 020730 99999 KARLSTAD & SW ESSQ 59.367 13.467 46.0 19550101 19770630 020740 99999 OREBRO/EKEBY SW 59.266999999999996 15.333 33.0 19730101 19770630 020750 99999 VASTERAS/HASSLO AFB SW ESCD 59.583 16.633 6.0 19730101 19770630 020760 99999 UPPSALA & SW ESCM 59.883 17.6 21.0 19730101 19770630 020770 99999 STOCKHOLM/BROMMA & SW ESSB 59.35 17.95 15.0 19550101 19770630 020790 99999 SATENAS (SWE-AFB) SW 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1.0 19550101 19770630 020950 99999 PAJALA SW 67.2 23.383000000000003 171.0 19550101 20200624 020960 99999 PAJALA SW 67.217 23.4 168.0 19550101 20080218 020970 99999 MALMO /BULLTOFTON SZ 55.6 13.067 14.9 19550101 19740702 020980 99999 MALMO/STURUP SW ESMS 55.55 13.367 72.0 19730101 19770630 020990 99999 YSTAD & SW 55.433 13.833 34.0 19730101 19770630 021000 99999 NAIMAKKA SW 68.683 21.533 403.0 19730101 19770630 021010 99999 HEMAVAN SW ESUT 65.806 15.083 458.1 19730102 20200624 021020 99999 STEKENJOKK SW 65.1 14.517000000000001 1036.0 19581101 20200624 021030 99999 HEMAVAN-GIEREVARTO SW 65.783 15.067 793.0 19871118 20200624 021040 99999 HEMAVAN SW 65.817 15.083 485.0 19770701 20080218 021050 99999 ABELVATTNET SW 65.533 14.982999999999999 670.0 19730101 20040221 021060 99999 JOKKMOKK (SWE-AFB) SW 66.6 19.833 256.0 19730101 19770630 021080 99999 KLIMPFJALL SW 65.067 14.8 593.0 19770701 20050921 021090 99999 ABRAUR SW 65.9 19.1 342.0 19730102 19770630 021100 99999 GIELAS SW 65.333 15.067 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19730101 19770630 021260 99999 GUNNARN SW 65.017 17.7 251.0 19730101 20081231 021270 99999 STENSELE SW 65.067 17.167 327.0 19310103 20050823 021280 99999 GUNNARN SW ESPD 65.0 17.7 283.0 19730101 20130402 021290 99999 GUNNARN SOL (AUT) SW 64.967 17.7 278.0 19730101 19861125 021300 99999 ROPARUDDEN SW 66.483 16.417 481.0 19730101 20160421 021310 99999 ARVIKA SW 59.667 12.583 75.0 19730101 19770630 021330 99999 SNAVLUNDA SW 58.967 14.9 144.0 19730101 19770630 021350 99999 BURESJON SW 65.567 17.867 393.0 19730101 20200624 021360 99999 STORBERG SW 65.5 18.95 454.0 20030519 20040829 021380 99999 GRUNDKALLEN SW 60.5 18.867 23.0 19730101 19770630 021410 99999 TJAKAAPE SW 66.317 19.217 582.0 19730101 20200624 021420 99999 JOKKMOKK SW ESNJ 66.49600000000001 20.147000000000002 275.5 19770701 20000510 021430 99999 PALJAMYREN SW 66.217 19.133 570.0 19730101 20030731 021440 99999 ABRAUR SW 65.983 18.933 374.0 19770701 20040626 021450 99999 TELLEJAUR SW 66.15 19.633 436.0 20030725 20040322 021460 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15.583 8.0 20100503 20200624 026700 99999 KALMAR SW 56.683 16.3 4.0 19960501 20200624 026720 99999 KALMAR SW ESMQ 56.68600000000001 16.288 5.2 19350101 20200624 026750 99999 20030407 20030407 026760 99999 OLANDS SODRA UDDE SW 56.2 16.4 3.0 20010811 20050820 026790 99999 HOBURG A SW 56.917 18.15 39.0 20090610 20200624 026800 99999 HOBURG SW 56.917 18.15 39.0 19351025 20120831 026810 99999 VRETA KLOSTER SW 58.483000000000004 15.517000000000001 52.0 20040529 20070624 026850 99999 OLANDS SODRA GRUND SW 56.067 16.683 30.0 19771126 20070307 027010 99999 KILPISJARVI SAANA FI 69.05 20.85 1009.0 20080115 20200624 027020 99999 INARI KAAMANEN FI 69.133 27.267 156.0 20140108 20200624 027030 99999 ESPOO SEPANKYLA FI 60.2 24.733 31.5 20080115 20150316 027040 99999 HATTULA LEPAA AWS FI 61.117 24.316999999999997 87.0 20080115 20200624 027050 99999 PELKOSENNIEMI PYHATUNTURI FI 67.017 27.217 487.5 20080116 20200624 027060 99999 LOHJA PORLA FI 60.25 24.05 37.0 20080115 20200624 027080 99999 KARVIA ALKKIA FI 62.183 22.8 161.0 20130805 20200624 027100 99999 VESANTO SONKARI FI 62.917 26.416999999999998 120.0 20080116 20200624 027110 99999 VAASA KESKUSTA FI 63.1 21.616999999999997 13.0 20080115 20111102 027130 99999 HAMEENLINNA LAMMI EVO FI 61.217 25.133000000000003 134.0 20130805 20200527 027140 99999 VAALA PELSO FI 64.5 26.44 114.0 20080116 20200624 027150 99999 HYRYNSALM KYTOMAKI FI 64.833 28.233 320.0 20080116 20090706 027160 99999 RANUA KK FI 65.933 26.517 154.0 20080116 20080731 027170 99999 KITTILA POKKA FI 68.167 25.767 272.0 20080115 20200624 027180 99999 PUUMALA KK URHEILUKENTTA FI 61.516999999999996 28.183000000000003 98.0 20130805 20200624 027190 99999 SODANKYLA KOKKA FI 67.817 27.75 240.0 20080116 20200624 027200 99999 KITTILA FI EFKT 67.70100000000001 24.846999999999998 196.3 20050101 20200624 027210 99999 KOKKOLA TANKAR FI 63.95 22.85 6.3 20080116 20200624 027220 99999 INARI SAARISELKA FI 68.417 27.416999999999998 302.0 20080123 20200624 027230 99999 KITTILA LEVITUNTURI FI 67.783 24.85 200.0 20080115 20160222 027240 99999 LUMPARLAND LANGNAS HARBOUR FI 60.117 20.3 11.0 20150216 20200624 027250 99999 HALSUA KANALA PUROLA FI 63.45 24.45 153.0 20080115 20200624 027260 99999 ENONTEKIO NAKKALA FI 68.6 23.583000000000002 374.0 20080115 20200624 027270 99999 ASIKKALA PULKKILANHARJU FI 61.266999999999996 25.517 76.0 20080115 20200624 027280 99999 TAIPALSAARI KYLANIEMI FI 61.3 28.183000000000003 88.0 20080115 20110915 027290 99999 JAMSA HIMOS FI 61.883 25.333000000000002 205.0 20090701 20110804 027300 99999 SAVOLINNA RUUNAVUORI FI 61.833 28.85 157.0 20090701 20110210 027310 99999 PUUMALA KK FI 61.533 28.2 127.0 20090801 20130627 027320 99999 KUOPIO RITONIEMI FI 62.8 27.9 87.0 20090701 20200624 027330 99999 LAPPEENRANTA KONNUNSUO FI 61.033 28.566999999999997 46.4 20090701 20200624 027340 99999 PARIKKALA KOITSANLAHTI FI 61.45 29.467 75.0 20090701 20200624 027350 99999 VIRRAT AIJANNEVA FI 62.333 23.55 139.5 20090701 20200624 027360 99999 JUVA PARTALA FI 61.9 27.883000000000003 111.5 20090701 20200624 027370 99999 TOHOLAMPI LAITALA FI 63.817 24.166999999999998 84.5 20090701 20200624 027380 99999 PYHAJARVI OL OJAKYLA FI 63.733000000000004 25.7 153.3 20090701 20200624 027390 99999 SOTKAMO KUOLANIEMI FI 64.117 28.333000000000002 162.5 20090701 20200624 027410 99999 JOMALA JOMLABY FI 60.183 19.983 11.0 20080116 20200624 027430 99999 KEMIONSAARI VANO FI 59.867 22.2 8.0 20090701 20200624 027440 99999 TAMPERE SATAKUNNANKATU FI 61.5 23.767 92.0 20130805 20200624 027450 99999 SALLA NARUSKA FI 67.167 29.183000000000003 214.7 20090701 20200624 027460 99999 HANKO TULLINIEMI FI 59.817 22.916999999999998 27.5 20090701 20200624 027470 99999 TURKU RAJAKARI FI 60.383 22.1 5.5 20090701 20200624 027480 99999 VARKAUS FI EFVR 62.17100000000001 27.869 87.2 20050101 20160511 027500 99999 HANKO TVARMINNE FI 59.85 23.25 3.0 20090701 20200624 027510 99999 PORI TAHKOLUOTO HARBOUR FI 61.633 21.383000000000003 4.6 20080116 20200624 027520 99999 KRISTIINANKAUPUNKI LIGHTHOUSE FI 62.2 21.166999999999998 21.7 20080115 20200624 027530 99999 KANKAANPAA NIINISALO AIRFIELD FI 61.833 22.467 122.0 20080115 20200624 027540 99999 HAMEENLINNA KATINEN FI 61.0 24.5 85.0 20080115 20200624 027550 99999 YLIVIESKA AIRFIELD FI 64.05 24.717 76.0 20030330 20200624 027560 99999 SALO KARKKA FI 60.367 23.116999999999997 2.0 20080115 20200624 027570 99999 RAASEPORI JUSSARO FI 59.817 23.583000000000002 22.8 20080116 20200624 027580 99999 VIHTI MAASOJA FI 60.417 24.4 44.2 20080115 20200624 027590 99999 PORVOO HARABACKA FI 60.4 25.6 23.5 20080116 20200624 027600 99999 KUUSAMO RUKA TALVIJARVI FI 66.167 29.133000000000003 306.5 20140108 20200624 027610 99999 RAUMA KYLMAPIHLAJA FI 61.15 21.3 29.0 20080115 20200624 027620 99999 KOKEMAKI PEIPOHJA HYRKOLA FI 61.266999999999996 22.25 39.0 20080115 20100528 027630 99999 TAMPERE HARMALA FI 61.467 23.75 86.0 20080115 20200624 027640 99999 KITTILA LOMPOLONVUOMA FI 68.0 24.217 270.0 20140108 20200624 027650 99999 LUHANKA JUDINSALO FI 61.7 25.5 83.2 20080115 20200624 027660 99999 ILOMANTSI POTSONVAARA FI 63.15 31.05 236.5 20120618 20200624 027670 99999 HAMEENLINNA LAMMI PAPPILA FI 61.05 25.05 125.0 20080115 20200624 027680 99999 HEINOLA ASEMANTAUS FI 61.2 26.05 92.0 20080115 20200624 027690 99999 KAUHAJOKI KUJA-KOKKO FI 62.417 22.183000000000003 93.0 20080116 20200624 027700 99999 JUUPAJOKI HYYTIALA FI 61.85 24.283 153.0 20080115 20200624 027710 99999 JOUTSA LEIVONMAKI SAVENAHO FI 61.883 26.1 146.0 20080115 20200624 027720 99999 RANTASALMI RUKKASLUOTO FI 62.067 28.566999999999997 80.0 20080115 20200624 027730 99999 TURKU ARTUKAINEN FI 60.45 22.183000000000003 9.1 20080115 20200624 027770 99999 SALO KIIKALA AIRFIELD FI 60.467 23.65 117.0 20040510 20200624 027780 99999 SAVONLINNA PUNKAHARJU FI 61.8 29.316999999999997 79.5 20080115 20200624 027800 99999 KORSNAS BREDSKARET FI 62.933 21.183000000000003 2.8 20080115 20200624 027810 99999 STROMMINGSBADN FI 62.983000000000004 20.733 3.7 20080115 20200624 027830 99999 LAMMI ISO-EVO FI 61.183 25.033 129.0 20080116 20090201 027870 99999 ALAJARVI MOKSY FI 63.083 24.267 171.4 20080115 20200624 027880 99999 KUOPIO MAANINKA FI 63.15 27.316999999999997 91.3 20080115 20200624 027890 99999 RAUTAVAARA YLA-LUOSTA FI 63.383 28.666999999999998 165.5 20080116 20200624 027900 99999 KUMLINGE KK FI 60.25 20.75 22.5 20030330 20200624 027910 99999 JUUKA NIEMELA FI 63.233000000000004 29.233 115.0 20080115 20200624 027930 99999 LIPERI TUISKAVANLUOTO FI 62.55 29.666999999999998 79.5 20080115 20200624 027940 99999 KIRKKONUMMI MAKILUOTO FI 59.917 24.35 2.0 20080115 20200624 027950 99999 HELSINKI HARMAJA FI 60.1 24.983 6.4 20080116 20200624 027960 99999 LIEKSA LAMPELA FI 63.317 30.05 98.0 20080115 20200624 027970 99999 HAAPAVEST MUSTIKKAMAKI FI 64.15 25.416999999999998 112.0 20080115 20200624 027980 99999 VALTIMO KK FI 63.667 28.833000000000002 115.0 20080115 20200624 027990 99999 KUHMO KALLIOJOKI FI 64.3 30.166999999999998 198.4 20080115 20200624 028000 99999 RAAHE NAHKIAINEN FI 64.617 23.9 23.8 20080116 20200624 028010 99999 ENONTEKIO KILPISJARVI FI 69.05 20.783 482.7 19790601 20200624 028030 99999 SIIKAJOKI REVONLAHTI FI 64.683 25.083000000000002 49.5 20080115 20200624 028040 99999 TAIVALKOSKI KK URHEILUTIE FI 65.583 28.217 197.0 20080115 20200624 028050 99999 UTSJOKI KEVO FI 69.75 27.0 106.3 19730101 20200624 028060 99999 KAAMANEN FI 69.1 27.217 149.0 19080101 19151231 028070 99999 IVALO FI EFIV 68.607 27.405 146.6 19520101 20200624 028075 99999 ENONTEKIO FI EFET 68.363 23.424 306.3 19980419 20200624 028080 99999 INARI SEVETTIJARVI FI 69.583 28.85 132.0 20080116 20110429 028110 99999 KUUSAMO KIUTAKONGAS FI 66.367 29.316999999999997 165.0 20080115 20200624 028120 99999 YLITORNIO MELTOSJARVI FI 66.533 24.65 93.0 20080115 20200624 028130 99999 ROVANIEMI APUKKA FI 66.583 26.017 107.4 20080115 20200624 028140 99999 KEMIJARVI AIRFIELD FI 66.717 27.166999999999998 208.0 20080116 20200624 028150 99999 SAVUKOSKI KK FI 67.283 28.183000000000003 180.0 20080115 20200624 028160 99999 SODANKYLA VUOTSO FI 68.083 27.183000000000003 248.8 20080116 20200624 028170 99999 SAARISELKA KAUNISPAA FI 68.433 27.45 438.0 20080115 20200624 028180 99999 INARI RAJAJOOSEPPI FI 68.483 28.3 254.9 20080115 20200624 028190 99999 SALLA VARRIOTUNTURI FI 67.75 29.616999999999997 360.0 20080115 20200624 028200 99999 MUONIO LAUKUKERO FI 68.067 24.033 762.0 20080115 20200624 028210 99999 MUONIO SAMMALTUNTURI FI 67.967 24.116999999999997 565.5 20080115 20200624 028230 99999 MUONIO ALAMUONIO FI 67.967 23.683000000000003 252.6 19730101 20191001 028234 99999 KITTILA FI 67.7 24.833000000000002 201.0 19920615 20081231 028240 99999 KITTILA KENTTAROVA FI 67.983 24.25 349.5 20080116 20200624 028250 99999 UTSJOKI NUORGAM FI 70.083 27.9 22.0 20080115 20200624 028270 99999 INARI VAYLA FI 69.067 27.5 123.5 20080115 20200624 028280 99999 KAARINA YLTOINEN FI 60.383 22.55 5.2 20080115 20200624 028290 99999 HYVINKAA HYVINKAANKYLA FI 60.6 24.8 87.5 20080115 20200624 028300 99999 KOUVOLA ANJALA FI 60.7 26.816999999999997 33.0 20080115 20200624 028310 99999 VIROLAHTI KOIVUNIEMI FI 60.533 27.666999999999998 5.0 20080115 20200624 028320 99999 TOHMAJARVI KEMIE FI 62.233000000000004 30.35 90.0 20080115 20200624 028330 99999 SEINAJOKI PELMAA FI 62.933 22.483 31.7 20080115 20200624 028340 99999 VIEREMA KAARAKKALA FI 63.833 27.217 207.6 20080116 20200624 028350 99999 INARI NELLIM FI 68.85 28.3 123.0 20080115 20200624 028360 99999 SODANKYLA FI EFSO 67.395 26.619 183.5 19170101 20200624 028440 99999 PELLO CENTRE FI EFPE 66.767 23.967 85.9 19730101 20200624 028450 99999 ROVANIEMI FI EFRO 66.565 25.83 196.6 19730101 20200624 028470 99999 ROVANIEMI RAUTATIEASEMA FI 66.5 25.717 82.3 20080115 20200624 028480 99999 SALLA FI 66.817 28.666999999999998 223.0 19730101 19990730 028490 99999 SALLA KK MYLLYTIE FI 66.833 28.666999999999998 221.7 20010601 20200624 028500 99999 VARKAUS KOLSUANNIEMI FI 62.317 27.9 83.0 20130805 20200624 028510 99999 OULU OULUNSALO PELLONPAA FI 64.933 25.366999999999997 12.0 20120101 20200624 028520 99999 KOKKOLA HOLLIHAKA FI 63.85 23.116999999999997 8.1 20130805 20180515 028570 99999 INARI ANGELI LINTUPUOLISELKA FI 68.9 25.733 285.0 20130805 20200624 028580 99999 INARI KIRAKKAJARVI FI 69.583 28.9 106.0 20130805 20200624 028590 99999 PUOLANKA PALJAKKA FI 64.667 28.05 341.0 20130805 20200624 028600 99999 KITTILA KK FI 67.65 24.9 181.0 20130805 20200624 028620 99999 KEMI AJOS FI 65.667 24.517 3.1 20040831 20200624 028630 99999 KEMI I LIGHTHOUSE FI 65.383 24.1 19.0 20040213 20200624 028640 99999 KEMI TORNIO FI EFKE 65.782 24.599 18.6 19520101 20200624 028650 99999 KUIVANIEMI FI 65.517 25.267 5.0 19730101 19790729 028660 99999 PUDASJARVI AIRFIELD FI 65.417 26.967 120.0 20010601 20200624 028670 99999 PUDASJARVI FI 65.367 27.017 117.0 19730101 19990901 028680 99999 KUUSAMO RUKATUNTURI FI 66.167 29.15 362.8 20080115 20200624 028690 99999 KUUSAMO FI EFKS 65.988 29.239 264.0 19090101 20200624 028720 99999 RAAHE LAPALUOTO HARBOUR FI 64.667 24.4 2.0 20080116 20200624 028730 99999 HAILUOTO MARJANIEMI FI 65.033 24.566999999999997 7.3 20040803 20200624 028740 99999 HAILUOTO ISLAND FI EFHL 65.033 24.8 6.0 19730101 20200624 028744 99999 YLIVIESKA FI EFYL 64.061 24.715999999999998 76.8 19920615 19950608 028750 99999 OULU FI EFOU 64.93 25.355 14.3 19060101 20200624 028760 99999 OULU VIHREASAARI HARBOUR FI 65.0 25.4 3.8 20080115 20200624 028790 99999 SUOMUSSALMI FI EFSU 64.9 29.017 224.0 19730101 20010309 028800 99999 TORNIO TORPPI FI 65.85 24.166999999999998 9.0 20130805 20200624 028810 99999 RANUA AIRFIELD FI 65.983 26.366999999999997 161.0 20130805 20200624 028820 99999 KITTILA MATOROVA FI 68.0 24.233 340.0 20130805 20200624 028830 99999 KAJAANI PETAISENNISKA FI 64.217 27.75 161.5 20130805 20200624 028880 99999 INARI SEITALAASSA FI 69.05 27.75 121.5 20130805 20200624 028890 99999 SUOMUSSALMI PESIO FI 64.933 28.75 225.2 20010919 20200624 028900 99999 UTSJOKI KEVO KEVOJARVI FI 69.75 27.017 76.0 20130805 20200603 028970 99999 KAJAANI FI EFKI 64.285 27.691999999999997 147.2 19160101 20200624 029010 99999 MASSKAR FI 63.733000000000004 22.583000000000002 13.0 19730101 20050822 029020 99999 ULKOKALLA FI 64.333 23.45 4.0 19730101 19770126 029030 99999 KRUUNUPYY FI EFKK 63.721000000000004 23.143 25.3 19601101 20200624 029050 99999 NIVALA FI 63.917 24.967 81.0 19730101 20040329 029060 99999 KEMIONSAARI KEMIO FI 60.167 22.75 12.0 20130805 20200624 029070 99999 KALAJOKI ULKOKALLA FI 64.333 23.45 5.0 19010101 20200624 029100 99999 MUSTASAARI VALASSAARET FI 63.433 21.066999999999997 11.0 19730101 20200624 029110 99999 VAASA FI EFVA 63.051 21.761999999999997 5.8 19170101 20200624 029120 99999 VAASA FI 63.1 21.583000000000002 14.0 19971201 20060119 029130 99999 KAUHAVA FI EFKA 63.126999999999995 23.051 46.0 19730101 20200624 029135 99999 KRUUNUPYY FI 63.717 23.133000000000003 26.0 19980316 20081231 029140 99999 KAUHAVA KK UUNIMAANTIE FI 63.117 23.05 40.0 20130805 20150109 029150 99999 VIITASAARI FI EFVI 63.083 25.866999999999997 132.0 19730101 20200624 029170 99999 KUOPIO FI EFKU 63.007 27.798000000000002 98.5 19060101 20200624 029190 99999 LAPPEENRANTA HIEKKAPAKKA FI 61.2 28.467 77.0 19730101 20200624 029200 99999 PIETARSAARI KALLAN FI 63.75 22.517 19.2 20040803 20200624 029210 99999 MOIKIPAA FI 62.883 21.1 13.0 19740301 20050331 029240 99999 AHTARI MYLLYMAKI FI EFHT 62.533 24.217 159.7 19730101 20200624 029244 99999 ILMAJOKI FI EFIL 62.7 22.833000000000002 92.0 19920520 19920615 029245 99999 SEINAJOKI FI EFSI 62.692 22.831999999999997 91.7 19990114 20200624 029260 99999 PORI RAILWAY STATION FI 61.483000000000004 21.783 10.1 20120101 20200624 029270 99999 MULTIA KARHILA FI 62.516999999999996 24.8 227.0 20130805 20200624 029280 99999 JOENSUU LINNUNLAHTI FI 62.6 29.717 81.0 20130805 20200624 029290 99999 JOENSUU FI EFJO 62.663000000000004 29.608 121.3 19520101 20200624 029310 99999 KASKINEN SALGRUND FI 62.333 21.183000000000003 5.0 20130805 20200624 029340 99999 HELSINKI RAILWAY STATION SQ FI 60.167 24.95 3.0 20120618 20150924 029350 99999 JYVASKYLA FI EFJY 62.398999999999994 25.678 139.9 19170101 20200624 029370 99999 KOKEMAKI TULKKILA FI 61.25 22.35 39.0 20120618 20200624 029390 99999 ILOMANTSI MEKRIJARVI FI 62.766999999999996 30.983 156.5 20030330 20200624 029420 99999 KANKAANPAA NIINISALO PUOLVOIM FI 61.833 22.467 124.8 19520101 20200624 029430 99999 TAMPERE SIILINKARI FI 61.516999999999996 23.75 98.0 19730101 20200624 029440 99999 TAMPERE PIRKKALA FI EFTP 61.413999999999994 23.604 118.9 19060101 20200624 029450 99999 HALLI FI EFHA 61.856 24.787 146.0 19730101 20200624 029460 99999 JAMSA HALLI LENTOASEMANTIE FI 61.867 24.816999999999997 144.0 20120618 20200624 029470 99999 MIKKELI FI EFMI 61.687 27.201999999999998 100.3 19730101 20200624 029474 99999 VARKAUS FI 62.167 27.866999999999997 89.0 19920615 20081231 029480 99999 SAVONLINNA FI EFSA 61.943000000000005 28.945 94.8 19840813 20200624 029490 99999 SOMERO SALKOLA FI 60.65 23.8 143.0 19730101 20200624 029500 99999 PARAINEN FAGERHOLM FI 60.117 21.7 4.5 19010101 20200624 029510 99999 19730101 19740810 029520 99999 PORI FI EFPO 61.461999999999996 21.8 13.4 19520101 20200624 029530 99999 HAMEENLINNA FI 60.983000000000004 24.45 92.0 19730101 19770119 029550 99999 KUOPIO SAVILAHTI FI 62.9 27.633000000000003 88.3 20120618 20200624 029560 99999 KOUVOLA UTTI LENTOPORTINTIE FI 60.883 26.933000000000003 99.0 20130805 20200624 029570 99999 VAASA KLEMETTILA FI 63.1 21.639 9.0 20120101 20200624 029580 99999 LAPPEENRANTA FI EFLP 61.045 28.144000000000002 106.4 19730101 20200624 029590 99999 LAPPEENRANTA LEPOLA FI 61.05 28.217 104.4 20120618 20200624 029600 99999 RAIJALA FI 61.183 22.616999999999997 51.0 19010101 19051231 029610 99999 KUUSKAJASKARI FI 61.133 21.366999999999997 10.0 19730101 20050801 029630 99999 JOKIOINEN FI 60.817 23.5 103.0 19570402 20200624 029640 99999 KUSTAVI ISOKARI FI 60.717 21.033 3.9 20040803 20200624 029650 99999 LAHTI LAUNE FI 60.967 25.633000000000003 78.7 19730101 20190514 029660 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24.967 24.0 20130805 20200624 030010 99999 MUCKLE FLUGGA UK 60.85 -0.883 53.0 19800421 20060115 030020 99999 BALTASOUND NO.2 UK EGPW 60.75 -0.85 15.0 19730101 20200624 030030 99999 SUMBURGH UK EGPB 59.879 -1.296 6.1 19770119 20200624 030031 99999 19730102 19750810 030040 99999 COLLAFIRTH HILL UK 60.533 -1.383 228.0 19790208 20050731 030050 99999 LERWICK UK 60.133 -1.183 84.0 19291001 20200624 030060 99999 SELLA NESS UK 60.45 -1.2670000000000001 7.0 19810501 20160211 030064 99999 SCATSTA UK EGPM 60.433 -1.296 24.7 19811015 20200624 030065 99999 UNST ISLAND UK 60.733000000000004 -0.8170000000000001 285.0 19811124 20021130 030070 99999 MUCKLE HOLM UK 60.583 -1.2670000000000001 20.0 19811124 20050505 030080 99999 FAIR ISLE UK 59.533 -1.633 57.0 19730103 20200624 030090 99999 NORTH RONALDSAY ISL UK 59.367 -2.417 11.0 19781003 20060410 030100 99999 SULE SKERRY UK 59.083 -4.4 12.0 19730101 20190326 030110 99999 NORTH RONA ISLAND UK 59.117 -5.817 103.0 19900901 20090320 030130 99999 FOULA UK 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CEN. 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ABB'S HEAD (LH) UK 55.917 -2.133 75.0 19370701 19920127 031900 99999 SEAHOUSES UK 55.583 -1.65 11.0 19730308 19790629 032040 99999 ISLE OF MAN IM EGNS 54.083 -4.624 16.8 19730101 20200624 032050 99999 CALF OF MAN (AUX) IM 54.05 -4.833 93.0 19880504 20040626 032070 99999 SNAEFELL-ISLE UK 54.266999999999996 -4.467 615.0 19730104 20051011 032080 99999 POINT OF AYRE (LH) IM 54.417 -4.367 9.0 19350630 20030221 032090 99999 DRUMBURGH UK 54.933 -3.15 7.0 19951001 20050409 032100 99999 ST BEES HEAD NO.2 UK 54.516999999999996 -3.6 123.0 19840614 20200624 032110 99999 ST. BEES HEAD (LH) UK 54.516999999999996 -3.633 94.0 19730101 19870731 032120 99999 KESWICK UK 54.617 -3.167 81.0 19840614 20200624 032130 99999 ESKMEALS UK 54.317 -3.4 9.0 19730102 20010402 032140 99999 WALNEY ISLAND UK EGNL 54.131 -3.264 14.3 19830804 20200314 032145 99999 WARTON UK EGNO 53.745 -2.883 16.8 20111130 20200624 032150 99999 ASPATRIA UK 54.766999999999996 -3.3169999999999997 62.0 19771108 20070307 032160 99999 BROMFIELD UK 54.8 -3.283 20.0 19730101 19780323 032200 99999 CARLISLE UK 54.933 -2.967 27.0 19880601 20200624 032210 99999 CAUSEWAY FOOT UK 54.583 -3.083 160.0 19730809 19771101 032220 99999 CARLISLE UK EGNC 54.938 -2.8089999999999997 57.9 19730101 20200327 032230 99999 RYDAL UK 54.45 -2.983 67.0 19750426 19870112 032240 99999 SPADEADAM NO2 UK 55.05 -2.55 286.0 19921201 20200624 032250 99999 SHAP UK 54.5 -2.6830000000000003 255.0 19781101 20200624 032260 99999 WARCOP RANGE UK 54.567 -2.417 227.0 19830808 20200624 032270 99999 GREAT DUN FELL NO2 UK 54.683 -2.45 847.0 19941001 20200624 032280 99999 WHINS POND (AUX) UK 54.667 -2.7 125.0 19840614 20040128 032290 99999 GREAT DUN FELL UK 54.7 -2.45 847.0 19730101 20030731 032300 99999 REDESDALE CAMP UK 55.283 -2.283 212.0 19830804 20200624 032330 99999 RIBBLEHEAD UK 54.217 -2.333 312.0 19751218 19791202 032350 99999 BOLTSHOPE PARK UK 54.817 -2.083 434.0 19941101 20070331 032370 99999 FOREST UK 54.65 -2.2 381.0 19730101 19790404 032380 99999 ALBEMARLE UK 55.016999999999996 -1.867 146.0 20030330 20200624 032400 99999 BOULMER UK EGQM 55.424 -1.6030000000000002 21.3 19751001 20200624 032410 99999 LONG FRAMLINGTON UK 55.3 -1.8 158.0 19891201 20050822 032420 99999 BURNHOPE UK 54.817 -1.7169999999999999 244.0 19730101 20020616 032431 99999 NEWCASTLE/WOOLSING. UK 55.033 -1.683 81.0 19730101 19880105 032433 99999 NEWCASTLE UK EGNT 55.038000000000004 -1.692 81.1 19880105 20200624 032440 99999 19730101 19751110 032450 99999 NEWCASTLE WX CENTRE UK 54.967 -1.617 50.0 19730101 19901226 032460 99999 NEWCASTLE WEATHER CENTRE UK 54.983000000000004 -1.6 52.0 19901101 20051004 032490 99999 SUNDERLAND UNIVERSITY UK 54.983000000000004 -1.633 70.0 19890301 20010530 032570 99999 LEEMING UK EGXE 54.292 -1.535 40.2 19730101 20200624 032610 99999 DISHFORTH UK EGXD 54.137 -1.42 35.7 19920501 20160606 032620 99999 TYNEMOUTH UK 55.016999999999996 -1.4169999999999998 30.0 19260101 20050111 032635 99999 DURHAM TEES VALLEY AIRPORT UK EGNV 54.50899999999999 -1.429 36.6 19730101 20200624 032640 99999 19730101 19731005 032643 99999 TOPCLIFFE UK EGXZ 54.206 -1.382 28.0 19940720 20200624 032650 99999 TOPCLIFFE UK 54.2 -1.383 28.0 19970501 20200624 032660 99999 LINTON ON OUSE UK EGXU 54.049 -1.253 16.2 19730101 20200624 032690 99999 TEESMOUTH UK 54.65 -1.133 12.0 19750426 19840107 032700 99999 19730101 19750331 032710 99999 TEESMOUTH (AUX) UK 54.62 -1.13 12.0 19920401 20060207 032750 99999 LOFTUS UK 54.567 -0.867 159.0 19961101 20200624 032800 99999 CATTERICK UK 54.367 -1.617 53.0 19311113 19390930 032810 99999 FYLINGDALES UK 54.367 -0.667 262.0 19730101 20200624 032820 99999 WHITBY UK 54.483000000000004 -0.6 60.0 19730118 20050304 032910 99999 FLAMBOROUGH HEAD UK 54.117 -0.083 46.0 19730308 19870531 032920 99999 BRIDLINGTON MRSC UK 54.1 -0.16699999999999998 19.0 19870430 20200624 032930 99999 COWDEN UK 53.85 -0.1 15.0 19971201 20031006 033010 99999 MONA UK 53.266999999999996 -4.367 62.0 19291001 20200624 033020 99999 VALLEY UK EGOV 53.248000000000005 -4.535 11.3 19260606 20200624 033030 99999 AMLWCH UK 53.383 -4.367 114.0 19880501 19991214 033050 99999 CAPEL CURIG NO3 UK 53.1 -3.9330000000000003 215.0 19941001 20200624 033080 99999 SNOWDON SUMMIT UK 53.067 -4.083 1065.0 19880222 20051215 033090 99999 YSPYTTY IFAN UK 53.033 -3.7 262.0 19730101 19850930 033110 99999 HOLYHEAD UK 53.317 -4.617 8.0 19291001 19390930 033120 99999 RHYL UK 53.333 -3.5 15.0 19730308 20041105 033130 99999 RHYL NO2 UK 53.25 -3.5 76.0 19861001 20200624 033140 99999 MOEL-Y-CRIO UK 53.217 -3.217 263.0 19860501 20050919 033150 99999 FORMBY (DEAD) UK 53.55 -3.1 9.0 19730308 19821004 033160 99999 CROSBY UK 53.5 -3.0669999999999997 9.0 19840614 20200624 033170 99999 WOODVALE(RAF) UK 52.567 -3.05 11.0 20031010 20040920 033180 99999 BLACKPOOL UK EGNH 53.772 -3.029 10.4 19730101 20200624 033190 99999 FLEETWOOD UK 53.917 -3.033 8.0 19730212 19870223 033210 99999 HAWARDEN UK EGNR 53.178000000000004 -2.978 13.7 19850904 20200624 033220 99999 AUGHTON UK 53.55 -2.917 56.0 19780801 20020215 033230 99999 LIVERPOOL AIRPORT UK 53.333 -2.85 26.0 19291001 19900403 033233 99999 LIVERPOOL UK EGGP 53.333999999999996 -2.85 24.4 19900424 20200624 033290 99999 WINTER HILL UK 53.617 -2.517 440.0 19730101 20000103 033300 99999 LEEK THORNCLIFFE UK 53.133 -1.983 299.0 20040706 20200624 033340 99999 MANCHESTER UK EGCC 53.354 -2.275 78.3 19330930 20200624 033350 99999 MANCHESTER/BARTON UK EGCB 53.483000000000004 -2.25 37.0 19730101 19860729 033380 99999 CELLARHEAD UK 53.033 -2.083 228.0 19750426 20030812 033390 99999 SKIPTON NO2 UK 53.967 -2.033 153.0 19730101 20081031 033400 99999 HOLME MOSS (AUT) UK 53.533 -1.883 522.0 19781124 20021127 033410 99999 FLASH-IN-STAFFORD UK 53.2 -1.9669999999999999 457.0 19730101 19790929 033420 99999 HOLME MOSS UK 53.533 -1.867 524.0 19730101 19960305 033430 99999 HUDDERSFIELD/OAKES UK 53.65 -1.8330000000000002 232.0 19730101 19860930 033440 99999 BINGLEY NO.2 UK 53.817 -1.867 267.0 19730101 20200624 033450 99999 EMLEY MOOR UK 53.617 -1.6669999999999998 259.0 19730101 20081231 033460 99999 EMLEY MOOR NO 2 UK 53.6 -1.6669999999999998 267.0 19761221 20200624 033461 99999 19730101 19750802 033463 99999 LEEDS BRADFORD UK EGNM 53.86600000000001 -1.661 207.6 19880105 20200624 033464 99999 PENZANCE HELIPORT UK EGHK 50.12 -5.52 4.0 20050105 20121031 033465 99999 NEWQUAY CORNWALL UK 50.433 -4.9830000000000005 119.0 20090201 20200624 033470 99999 LEEDS WEATHER CTR UK 53.8 -1.55 47.0 19860101 20030902 033475 99999 SHEFFIELD CITY UK EGSY 53.394 -1.3880000000000001 70.4 19980408 20020914 033480 99999 WOODFORD UK 53.333 -2.15 88.0 19291001 20120528 033510 99999 ROSTHERNE NO 2 UK 53.367 -2.383 35.0 20121130 20200624 033540 99999 NOTTINGHAM/WATNALL UK 53.0 -1.25 117.0 19730101 20200624 033550 99999 CHURCH FENTON UK EGXG 53.833999999999996 -1.196 8.8 19730101 20131219 033600 99999 FINNINGLEY(RAF) UK 53.483000000000004 -1.0 17.0 19730101 19951001 033631 99999 SYERSTON UK 53.016999999999996 -0.917 63.0 20070307 20070307 033700 99999 HEMSWELL UK 53.4 -0.5670000000000001 63.0 19490101 19541231 033723 99999 BARKSTON HEATH UK EGYE 52.961999999999996 -0.562 111.9 19951129 20200624 033730 99999 SCAMPTON UK EGXP 53.308 -0.551 61.6 19730101 20200624 033735 99999 HUMBERSIDE UK EGNJ 53.574 -0.35100000000000003 36.9 19750109 20200624 033770 99999 WADDINGTON UK EGXW 53.166000000000004 -0.524 70.4 19500926 20200624 033790 99999 CRANWELL UK EGYD 53.03 -0.483 66.4 19290801 20200624 033820 99999 LECONFIELD UK 53.867 -0.433 7.0 20030330 20200624 033830 99999 LECONFIELD UK EGXV 53.883 -0.433 9.0 19730101 19781126 033840 99999 LECONFIELD (AUT) UK EGXV 53.867 -0.433 6.0 19810112 20200624 033850 99999 DONNA NOOK UK EGXX 53.467 0.067 8.0 19921208 20200624 033851 99999 DONNA NOOK RAF UK EGXS 53.475 0.152 3.0 20110512 20200624 033860 99999 NORTH COATES (AUT) UK 53.5 0.067 3.0 19890118 19940709 033870 99999 EASINGTON UK 53.667 0.11699999999999999 10.0 19881004 20050402 033880 99999 BINBROOK(RAF) UK 53.45 -0.2 108.0 19730101 20050820 033900 99999 INNER DOWSING (LH) UK 53.333 0.5670000000000001 37.0 19800301 19870227 033910 99999 CONINGSBY UK EGXC 53.093 -0.166 7.6 19430801 20200624 033920 99999 WAINFLEET (AUT) UK EGYW 53.083 0.267 5.0 19840614 20200624 033930 99999 DONNA NOOK (AUT) UK 53.383 0.217 4.0 19840614 19860725 033940 99999 GIBRALTAR POINT UK 53.1 0.317 4.0 19761023 20020928 033950 99999 19730101 19740911 033960 99999 SPURN HEAD (POINT) UK 53.617 0.15 12.0 19291001 19871004 033961 99999 SPURN HEAD (POINT) UK 53.567 0.11699999999999999 7.0 20170925 20200624 033980 99999 HUMBER (LGT-VSL) UK 53.617 0.36700000000000005 5.0 19730209 19820801 033990 99999 DOWSING (LGT-VSL) UK 53.567 0.833 5.0 19730101 19830429 034000 99999 BARDSEY ISL (LGT-H) UK 52.75 -4.8 16.0 19730101 19870907 034010 99999 PORTHDYNLLAEN UK 52.95 -4.567 37.0 19730106 20030722 034020 99999 MYNYDD RHIW UK 52.817 -4.633 253.0 19730101 20040211 034030 99999 NANTMOR UK 53.0 -4.083 53.0 19840614 20020919 034040 99999 ABERDOVEY UK 52.55 -4.067 22.0 19730206 20051017 034050 99999 ABERDARON UK 52.783 -4.7330000000000005 94.0 19941001 20200624 034053 99999 LLANBEDR UK EGOD 52.812 -4.124 9.1 19940503 20070227 034054 99999 DONCASTER SHEFFIELD UK EGCN 53.475 -1.004 16.8 20050507 20200624 034055 99999 NORTH DENES AIRPORT UK EGSD 52.65 -1.7830000000000001 2.0 20100726 20150430 034060 99999 TRAWSFYNYDD UK 52.933 -3.9330000000000003 193.0 19730101 19950929 034070 99999 LLANBEDR UK 52.8 -4.117 9.0 20010822 20041108 034080 99999 CYNWYD UK 52.95 -3.417 227.0 19840614 20031108 034090 99999 BALA UK 52.9 -3.583 163.0 20110627 20200624 034100 99999 LAKE VYRNWY NO2 UK 52.75 -3.467 359.0 19941001 20200624 034110 99999 ABERHOSAN UK 52.567 -3.717 244.0 19920801 20040627 034140 99999 SHAWBURY UK EGOS 52.798 -2.668 75.9 19730101 20200624 034145 99999 COSFORD UK EGWC 52.64 -2.306 82.9 19940831 20200624 034150 99999 SHAWBURY (SAWS) UK 52.8 -2.6830000000000003 74.0 19880712 19951221 034160 99999 BOGUS ENGLAND UK 19840719 20040823 034180 99999 TERNHILL(RAF) UK 52.867 -2.533 83.0 19730101 20050605 034185 99999 NOTTINGHAM EAST MIDLANDS UK EGNX 52.831 -1.328 93.3 19730101 20200624 034530 99999 COTTESMORE UK EGXJ 52.736000000000004 -0.649 140.5 19730101 20111109 034540 99999 TEMP FOR 03453 UK 52.733000000000004 -0.667 138.0 19930318 20031204 034610 99999 WITTERING (AUT) UK 52.617 -0.483 75.0 19840614 20060212 034620 99999 WITTERING UK EGXT 52.613 -0.47600000000000003 83.2 19730301 20200624 034690 99999 HOLBEACH (AUT) UK EGYH 52.867 0.15 3.0 19851201 20200624 034700 99999 HOLBEACH RAF RANGE UK EGYH 52.883 0.183 12.0 19640713 19810128 034701 99999 HOLBEACH RAF RANGE UK 52.85 0.16699999999999998 12.0 19780405 19810526 034705 99999 19730731 19751021 034820 99999 MARHAM UK EGYM 52.648 0.551 22.9 19490401 20200624 034850 99999 WEST RAYNHAM UK EGYV 52.783 0.733 76.0 19730101 19760114 034870 99999 SCULTHORPE (AF MET) UK EGUP 52.85 0.767 65.0 19780707 20011018 034873 99999 SCULTHORPE (AF MET) UK EGUP 52.85 0.767 65.0 19490601 19900827 034875 99999 HIGH WICOMBE(USAF) UK EGUH 51.62 -0.77 75.0 20040901 20041220 034880 99999 WEYBOURNE UK 52.95 1.133 20.0 19860119 20200624 034920 99999 NORWICH UK EGSH 52.676 1.2830000000000001 35.7 19871202 20200624 034925 99999 NORWICH WEA CNTRE & UK 52.683 1.2830000000000001 37.0 19840909 19880105 034930 99999 CROMER (LGT-H) UK 52.917 1.317 62.0 19850128 19900904 034940 99999 CROMER UK 52.933 1.317 44.0 19730309 20040722 034950 99999 COLTISHALL UK EGYC 52.755 1.358 20.1 19730101 20060404 034960 99999 HEMSBY UK 52.683 1.683 14.0 19730109 20100712 034970 99999 GORLESTON UK 52.583 1.7169999999999999 3.0 19260101 19811031 034980 99999 NEWARP (LGT-VSL) UK 52.8 1.8330000000000002 5.0 19730227 19820801 034990 99999 BECAME STN 034991 UK 52.717 2.3 5.0 19730101 19820913 035010 99999 CAPEL DEWI UK 52.417 -4.0 92.0 19990514 20041029 035020 99999 ABERPORTH UK EGUC 52.133 -4.567 134.0 19730101 20200624 035030 99999 TRAWSGOED UK 52.35 -3.95 62.0 19830820 20200624 035031 99999 ESGAIRWEN UK 52.083 -4.0169999999999995 332.0 19730101 19770301 035040 99999 CENARTH-IN-RADNOR UK 52.383 -3.533 305.0 19760601 19820106 035050 99999 SAINT HARMON UK 52.333 -3.483 279.0 19751117 20050405 035051 99999 CENARTH MILL UK 52.383 -3.5 282.0 19730101 19750729 035060 99999 19731108 19740331 035070 99999 SENNYBRIDGE NO2 UK 52.067 -3.617 307.0 19840614 20200624 035077 99999 NORWICH UK 52.683 1.2830000000000001 37.0 19770114 19840807 035110 99999 NEWCASTLE ON CLUN UK 52.433 -3.117 215.0 19860101 20060201 035120 99999 19730101 19730514 035121 99999 LYONSHALL UK 52.183 -2.983 178.0 20070307 20070307 035200 99999 SHOBDON AIRFIELD UK 52.25 -2.883 99.0 19920801 20200624 035210 99999 MADLEY UK 52.033 -2.85 78.0 19840614 20040331 035220 99999 HEREFORD/CREDENHILL UK 52.083 -2.8 76.0 19291001 20200624 035250 99999 MALVERN UK 52.083 -2.3 53.0 20051002 20051002 035260 99999 BARBOURNE UK 52.2 -2.217 25.0 19971201 20030802 035270 99999 GREAT MALVERN UK 52.117 -2.3 44.0 19840614 20081107 035280 99999 PERSHORE UK 52.133 -2.033 40.0 19730101 19780217 035290 99999 PERSHORE UK 52.15 -2.033 31.0 19780301 20200624 035310 99999 BIRMINGHAM/EDBASTON UK 52.483000000000004 -1.933 163.0 19291001 19791013 035340 99999 BIRMINGHAM UK EGBB 52.45399999999999 -1.7480000000000002 99.7 19730101 20200624 035350 99999 COLESHILL UK 52.483000000000004 -1.683 96.0 20010706 20200624 035360 99999 HINTS/LICHFIELD MST UK 52.633 -0.5670000000000001 30.0 19781220 19820203 035410 99999 COVENTRY AIRPORT UK 52.367 -1.483 85.0 19761221 19880105 035411 99999 19730101 19751005 035413 99999 COVENTRY UK EGBE 52.37 -1.48 81.4 19880105 20170718 035420 99999 RAF HETHEL UK 52.567 1.167 49.0 19430623 19450521 035430 99999 RAF RIDGEWELL UK 52.05 0.55 79.0 19431231 19450608 035440 99999 CHURCH LAWFORD UK 52.367 -1.3330000000000002 106.0 19830824 20200624 035450 99999 RAF GREAT ASHFIELD UK 52.25 0.95 61.0 19430731 19440630 035460 99999 RAF TIBENHAM UK 52.45 1.15 54.0 19431201 19450522 035471 99999 BITTESWELL UK EGBC 52.45 -1.25 134.0 19730101 19790629 035480 99999 RAF SNETTERTON HEATH UK 52.467 0.95 45.0 19430701 19440630 035490 99999 RAF OLD BUCKENHAM UK 52.5 1.067 59.0 19440107 19450510 035500 99999 RAF BODNEY UK 52.567 0.7170000000000001 40.0 19430830 20070501 035510 99999 RAF HORHAM UK 52.317 1.2329999999999999 55.0 19430520 19440630 035520 99999 RAF DUXFORD UK 52.1 0.133 30.0 19430620 19440630 035530 99999 RAF DEENETHORPE UK 52.5 -0.583 101.0 19431111 19450604 035540 99999 KINGS CLIFF RAF UK 52.567 -0.483 77.0 19431007 19450903 035560 99999 19420925 19440525 035570 99999 CRANFIELD UK 52.067 -0.617 111.0 20031003 20050928 035571 99999 CRANFIELD UK 52.067 -0.617 111.0 19730101 19900125 035573 99999 CRANFIELD UK EGTC 52.071999999999996 -0.617 109.1 19900208 20200624 035580 99999 BEDFORD AIRPORT UK 52.217 -0.483 89.0 19730101 20050407 035590 99999 CARDINGTON UK 52.1 -0.41700000000000004 29.0 19300301 20050203 035600 99999 BEDFORD UK 52.217 -0.483 84.0 19870409 20200624 035610 99999 RAF BURY ST EDMUNDS UK 52.25 0.767 63.0 19421221 19440630 035620 99999 ALCONBURY RAF UK EGWZ 52.367 -0.217 47.9 19990515 20050710 035621 99999 ALCONBURY RAF UK 52.367 -0.217 49.0 19730101 19880105 035623 99999 ALCONBURY RAF & UK 52.367 -0.217 49.0 19430113 19950331 035630 99999 THORPE ABBOTTS RAF UK 52.383 1.217 50.0 19430701 19440630 035660 99999 WYTON UK EGUY 52.357 -0.10800000000000001 41.1 19501003 20151004 035661 99999 ISLAY UK EGPI 55.681999999999995 -6.257000000000001 17.1 20040510 20200624 035671 99999 BASSINGBOURN UK 52.1 -0.05 23.0 19501101 20070307 035710 99999 CAMBRIDGE UK 52.2 0.183 15.0 19730101 19750106 035715 99999 CAMBRIDGE UK EGSC 52.205 0.175 14.3 19770201 20200624 035770 35046 MILDENHALL RAF UK EGUN 52.367 0.483 10.0 19990101 20200624 035770 99999 MILDENHALL UK EGUN 52.361999999999995 0.486 10.1 19930701 20041231 035771 99999 MILDENHALL RAF & UK 52.367 0.483 10.0 19730101 19880105 035773 99999 MILDENHALL RAF & UK 52.367 0.483 10.0 19500714 19950831 035780 99999 19350701 19390930 035810 99999 FELTWELL UK 52.483000000000004 0.517 14.0 19490103 19541231 035830 35034 LAKENHEATH RAF UK EGUL 52.417 0.5670000000000001 10.0 19990102 20200624 035830 99999 LAKENHEATH UK EGUL 52.409 0.561 9.8 19930701 20041230 035831 99999 LAKENHEATH RAF UK 52.4 0.5670000000000001 10.0 19730101 19880105 035833 99999 LAKENHEATH RAF UK EGUL 52.4 0.5670000000000001 10.0 19490501 19950525 035860 99999 HONINGTON UK 52.333 0.767 53.0 19730101 20031130 035881 99999 SHEPHERD'S GROVE UK 52.317 0.917 60.0 19510601 19590109 035900 99999 WATTISHAM UK EGUW 52.126999999999995 0.956 86.6 19730101 20200624 035905 99999 NEWTON UK EGXN 52.967 -0.983 55.0 19950210 20011103 035930 99999 BECCLES (AUX) UK 52.433 1.617 22.0 19900201 20030120 035951 99999 WOODBRIDGE RAF UK 52.083 1.4 29.0 19730101 19880105 035953 99999 WOODBRIDGE RAF UK EGVG 52.083 1.4 29.0 19541001 20070307 035961 99999 BENTWATERS RAF UK 52.133 1.433 26.0 19730101 19880105 035963 35048 BENTWATERS RAF UK EGVJ 52.133 1.433 26.0 19930104 19930331 035963 99999 BENTWATERS RAF UK EGVJ 52.133 1.433 25.9 19450101 19921229 035980 99999 ALDEBURGH UK 52.15 1.6 9.0 19730402 20050908 035990 99999 HENLOW UK 52.016999999999996 -0.267 95.0 19730101 19810601 036010 99999 ST. ANNES HEAD UK 51.683 -5.167000000000001 43.0 19291001 20160906 036030 99999 BRAWDY(RAF) UK 51.883 -5.117 111.0 19741008 20010925 036040 99999 MILFORD HAVEN CONSERVANCY BOARD UK 51.7 -5.05 32.0 19730101 20200624 036050 99999 PEMBRY SANDS UK EGOP 51.717 -4.367 3.0 19930301 20200624 036060 99999 MONKSTONE PT. UK 51.7 -4.667 84.0 19730308 19830626 036070 99999 PENDINE (AUT) UK 51.75 -4.5169999999999995 5.0 19730101 19880826 036080 99999 PENDINE (AUT) UK 51.75 -4.5169999999999995 5.0 19880828 20010323 036090 99999 MUMBLES HEAD UK 51.567 -3.983 32.0 19730104 20200624 036095 99999 SWANSEA UK EGFH 51.605 -4.0680000000000005 91.1 19770126 19990127 036100 99999 PENCELLI (AUX) UK 51.917 -3.3169999999999997 160.0 19900101 20050528 036110 99999 BRYNAMMAN UK 51.817 -3.867 182.0 19730101 19851107 036120 99999 TRECASTLE UK 51.95 -3.7 312.0 19730101 19881031 036130 99999 CWMBARGOED UK 51.75 -3.333 372.0 19730101 19921001 036140 99999 CILFYNYDD UK 51.633 -3.3 194.0 19730716 20050505 036150 99999 ABERDARE UK 51.717 -3.467 174.0 19730101 19790427 036170 99999 STOREY ARMS UK 51.867 -3.483 457.0 19870405 20030202 036240 99999 KYMIN UK 51.817 -2.6830000000000003 181.0 19730101 19781110 036250 99999 WYESHAM UK 51.8 -2.7 38.0 19791015 19800701 036260 99999 BERRY HILL UK 51.8 -2.617 25.0 19800910 19830312 036270 99999 ROSS-ON-WYE UK 51.911 -2.5860000000000003 67.0 19291001 19741022 036280 99999 FILTON UK 51.516999999999996 -2.583 59.0 19370601 20181015 036283 99999 BRISTOL FILTON UK EGTG 51.519 -2.591 68.9 19940718 20121221 036330 99999 GLOUCESTER UK 51.867 -2.217 24.0 19730101 19821109 036333 99999 GLOUCESTERSHIRE UK EGBJ 51.894 -2.167 30.8 19771001 20200624 036380 99999 KEMBLE RAF UK 51.667 -2.05 133.0 19730101 19880105 036383 99999 KEMBLE UK EGBP 51.668 -2.057 132.0 19880105 19920331 036440 99999 FAIRFORD UK EGVA 51.681999999999995 -1.79 87.2 19520610 20200624 036460 99999 19730101 19760430 036470 99999 LITTLE RISSINGTON UK 51.867 -1.683 210.0 19840614 20200624 036490 99999 BRIZE NORTON UK EGVN 51.75 -1.584 87.8 19510801 20200624 036530 99999 ABINGDON(RAF) UK 51.683 -1.317 80.0 19730101 19751113 036550 99999 UPPER HEYFORD(USAF) UK 51.933 -1.25 134.0 19301231 19390930 036551 99999 UPPER HEYFORD RAF UK 51.933 -1.25 133.0 19730101 19880105 036553 99999 UPPER HEYFORD RAF UK EGUA 51.933 1.25 133.0 19511101 19931215 036570 99999 BENSON (AUT) UK 51.617 -1.1 57.0 19840713 19930624 036580 99999 BENSON UK EGUB 51.61600000000001 -1.0959999999999999 68.9 19730101 20200624 036584 99999 COLERNE UK EGUO 51.43899999999999 -2.286 180.7 19420401 20190214 036600 99999 HIGH WYCOMBE HQAIR UK 51.683 -0.8 205.0 19971201 20200624 036690 99999 19420810 19600731 036720 99999 NORTHOLT UK EGWU 51.553000000000004 -0.418 37.8 19730101 20200624 036731 99999 LUTON ARPT UK 51.883 -0.36700000000000005 160.0 19730101 19880105 036733 99999 LUTON UK EGGW 51.875 -0.368 160.3 19880105 20200624 036740 99999 CHENIES(AUTO) UK 51.683 -0.5329999999999999 139.0 19921001 20010414 036800 99999 ROTHAMSTED UK 51.8 -0.358 128.0 20130820 20200624 036830 99999 STANSTED UK EGSS 51.885 0.235 106.1 19730101 20200624 036840 99999 ANDREWSFIELD UK 51.883 0.45 87.0 19980301 20200624 036880 99999 WETHERSFIELD(RAF) UK 51.967 0.5 98.0 19520507 19851015 036881 99999 WEATHERSFIELD RAF UK EGVT 51.967 0.5 101.0 19740117 19770617 036883 99999 WEATHERSFIELD RAF UK EGVT 51.967 0.5 101.0 19890304 19900122 036911 99999 SOUTHEND AIRPORT UK 51.567 0.7 15.0 19730101 19880105 036913 99999 SOUTHEND UK EGMC 51.571000000000005 0.696 14.9 19880105 20200624 036930 99999 SHOEBURYNESS LANDWICK UK 51.55 0.833 3.0 19291001 20200624 036940 99999 SHOEBURYNESS (AUT) UK 51.55 0.833 2.0 19850116 19940730 036950 99999 THAMES TOWER (AUT) UK 51.667 1.1 8.0 19811124 20041013 036960 99999 WALTON-ON-THE-NAZE UK 51.85 1.2830000000000001 5.0 19730117 20070621 036970 99999 FELIXSTOWE UK 51.95 1.3330000000000002 3.0 19290801 19390930 036980 99999 TONGUE (LGT-VSL) UK 51.516999999999996 1.383 15.0 19291001 19820914 036990 99999 GALLOPER (LGT-VSL) UK 51.733000000000004 1.9669999999999999 5.0 19730101 19770612 037000 99999 SAINT GOWAN L.V. UK 51.5 -5.0 5.0 19730207 20060207 037010 99999 GAWLISH UK 51.016999999999996 -4.5 122.0 19890301 20050607 037020 99999 LUNDY ISL (LGT-H) UK 51.167 -4.65 43.0 19730101 20030804 037030 99999 HARTLAND POINT UK 51.016999999999996 -4.533 91.0 19380520 19831129 037031 99999 HARTLAND POINT UK 51.033 -4.533 91.0 20070307 20070307 037040 99999 HARTLAND UK 50.983000000000004 -4.467 142.0 19840614 20030302 037060 99999 ILFRACOMBE C.G. UK 51.217 -4.083 61.0 19730308 19801130 037061 99999 ILFRACOMBE C.G. UK 51.217 -4.083 61.0 20070307 20070307 037070 99999 CHIVENOR UK EGDC 51.086999999999996 -4.15 8.2 19730101 20200624 037090 99999 MINEHEAD UK 51.2 -3.45 10.0 19870301 20051001 037100 99999 LISCOMBE UK 51.083 -3.6 347.0 19930113 20200624 037110 99999 EXTON UK 51.0 -3.483 332.0 19730101 19880508 037120 99999 TIVINGTON UK 51.2 -3.533 83.0 19890101 20051001 037150 99999 CARDIFF UK EGFF 51.397 -3.343 67.1 19730101 20200624 037155 99999 ST ATHAN UK 51.4 -3.4330000000000003 51.0 19940818 20040908 037160 99999 ST ATHAN UK EGDX 51.405 -3.4360000000000004 49.7 20010706 20200624 037170 99999 CARDIFF WEATHER CENTRE UK 51.483000000000004 -3.1830000000000003 52.0 19840614 20060616 037241 99999 BRISTOL/LULSGATE UK 51.383 -2.717 189.0 19730101 19880105 037243 99999 BRISTOL UK EGGD 51.383 -2.719 189.6 19880105 20200624 037260 99999 BRISTOL WEA CENTER UK 51.467 -2.6 11.0 19810801 20040819 037400 99999 LYNEHAM UK EGDL 51.505 -1.993 156.4 19730101 20200624 037430 99999 LARKHILL UK 51.2 -1.8 133.0 19890601 20200624 037435 99999 GREENHAM COMMON RAF UK EGVI 51.383 -1.2830000000000001 122.0 19760428 19920417 037440 99999 UPAVON UK EGDJ 51.3 -1.767 175.0 19730101 20040827 037450 99999 NETHERAVON(RA) UK 51.25 -1.767 139.0 19730101 20020315 037460 99999 BOSCOMBE DOWN UK EGDM 51.152 -1.7469999999999999 124.1 19310101 20200624 037480 99999 WINCHESTER UK 51.067 -1.317 83.0 19291001 19330831 037490 99999 MIDDLE WALLOP UK EGVP 51.15 -1.567 91.0 19730809 20200624 037520 99999 19730101 19760331 037590 99999 TEST SAMOS 03761 UK 51.25 -0.95 123.0 19930407 20000728 037610 99999 ODIHAM UK EGVO 51.233999999999995 -0.943 123.4 19730101 20200624 037630 99999 BRACKNELL/BEAUFORT UK EGRR 51.383 -0.7829999999999999 74.0 19730101 20191209 037640 99999 BRACKNELL (AUT) UK 51.383 -0.8 75.0 19871202 20040206 037660 99999 FARNBOROUGH (MIL) UK EGUF 51.283 -0.767 72.0 19291001 20051011 037661 99999 BIGGIN HILL UK 51.283 0.033 0.0 19840519 19880105 037663 99999 BIGGIN HILL UK EGKB 51.331 0.033 182.3 19880105 20200624 037670 99999 LIPHOOK UK 51.083 -0.8170000000000001 98.0 19730101 19880706 037680 99999 FARNBOROUGH UK EGLF 51.276 -0.7759999999999999 72.5 19880501 20200624 037683 99999 CITY UK EGLC 51.505 0.055 5.8 19880129 20200624 037690 99999 CHARLWOOD UK 51.144 -0.22899999999999998 68.0 19920301 20200624 037700 99999 ST JAMES PARK UK 51.5 -0.11699999999999999 5.0 20091218 20200624 037720 99999 HEATHROW UK EGLL 51.478 -0.461 25.3 19481201 20200624 037740 99999 CRAWLEY UK 51.083 -0.217 144.0 20011105 20070307 037750 99999 KEW-IN-LONDON UK 51.467 -0.317 5.0 19291001 19820510 037760 99999 GATWICK UK EGKK 51.148 -0.19 61.6 19730101 20200624 037770 99999 PURLEY OAKS UK 51.35 -0.11699999999999999 66.0 19290801 19390930 037780 99999 LONDON WEA CENTER UK 51.516999999999996 -0.11699999999999999 23.0 19730101 20030514 037790 99999 LONDON WEA CENTER UK EGRB 51.5 -0.11699999999999999 39.0 19920401 20100201 037800 99999 REDHILL UK 51.217 -0.133 63.0 20010702 20060228 037810 99999 KENLEY AIRFIELD UK 51.3 -0.083 170.0 19880201 20200624 037815 99999 LEAVESDEN UK EGTI 51.683 -0.41700000000000004 102.0 19730101 19950409 037820 99999 BLACKWALL UK 51.516999999999996 0.017 5.0 19741127 19881104 037830 99999 GALLIONS REACH UK 51.5 -0.067 12.0 19730101 19791011 037840 99999 GRAVESEND-BROADNESS UK 51.467 0.3 3.0 19960201 20180830 037850 99999 CHARING UK 51.2 0.7829999999999999 91.0 19800910 20011231 037860 99999 GRAVESEND UK 51.433 0.38299999999999995 5.0 19730101 20041016 037871 99999 WEST MALLING UK 51.283 0.41700000000000004 104.0 19601201 19640630 037890 99999 JUBILEE CORNER UK 51.183 0.633 47.0 19730105 19961002 037900 99999 EAST MALLING (AUT) UK 51.283 0.45 32.0 19851201 20011118 037910 99999 SHEERNESS UK 51.45 0.75 25.0 19730101 20080731 037920 99999 DODDINGTON UK 51.283 0.7829999999999999 91.0 19730101 19800913 037930 99999 ANVIL GREEN UK 51.2 1.0170000000000001 139.0 19730101 20050218 037940 99999 BECAME STN 037941 UK 51.15 1.383 91.0 19730308 19791003 037950 99999 LYMPNE UK 51.083 1.0170000000000001 104.0 19290801 19390930 037951 99999 ASHFORD UK EGMK 51.15 0.883 107.0 19730101 19741221 037960 99999 LANGDON BAY UK 51.133 1.35 117.0 19730308 20200624 037970 35047 MANSTON UK EGMH 51.35 1.3330000000000002 50.0 19300228 20200624 037970 99999 MANSTON UK EGMH 51.342 1.3459999999999999 54.3 20000101 20041231 037980 99999 FALLS (LGT-VSL) UK 51.3 1.817 5.0 19730101 19820913 037990 99999 EAST GOODWIN L.V. UK 51.217 1.6 5.0 19730101 19820623 038000 99999 SCILLY/ST. MARY'S UK 49.917 -6.2829999999999995 45.0 19890124 20031002 038010 99999 20010625 20021121 038020 99999 SCILLY/ROUND ISLAND UK 49.983000000000004 -6.317 38.0 19820304 20050829 038030 99999 SCILLY/SAINT MARY'S UK EGHE 49.917 -6.3 31.0 19860101 20200624 038040 99999 SCILLY/ST.MARYS UK EGHE 49.933 -6.3 51.0 19260101 20021106 038050 99999 SEVEN STONES L.V. UK 50.05 -6.067 5.0 19730227 19820801 038060 99999 LANDS END ARPT UK EGHC 50.06399999999999 -5.709 63.0 19730308 20200624 038080 99999 CAMBORNE UK 50.217 -5.317 88.0 19730101 20200624 038090 99999 CULDROSE UK EGDR 50.086000000000006 -5.256 81.4 19730101 20200624 038100 99999 PENDENNIS POINT UK 50.15 -5.067 42.0 19840614 20070621 038110 99999 PORT PENDENNIS UK 50.133 -5.033 61.0 19291001 19340404 038140 99999 LIZARD UK 49.95 -5.183 57.0 19320510 20020831 038150 99999 LIZARD LIGHTHOUSE UK 49.967 -5.2 60.0 19880719 20030529 038170 99999 ST MAWGAN UK EGDG 50.433 -5.0 118.9 19730101 20081201 038200 99999 DAVIDSTOW MOOR UK 50.633 -4.6 291.0 19920501 20040331 038230 99999 CARDINHAM BODMIN UK 50.5 -4.667 199.0 19870708 20200624 038240 99999 BASTREET UK 50.567 -4.4830000000000005 238.0 19750122 20040919 038250 99999 19730101 19740430 038270 99999 PLYMOUTH/MOUNTBATTE UK EGDB 50.35 -4.117 27.0 19730101 20200624 038273 99999 PLYMOUTH UK EGHD 50.423 -4.106 145.1 19880318 20111223 038280 99999 SOUTHWEST YELVERTON UK 50.483000000000004 -4.1 198.0 19291001 19390930 038300 99999 BURRINGTON UK 50.933 -3.983 199.0 19750521 20011001 038310 99999 NORTH HESSARY TOR UK 50.55 -4.0 510.0 19730101 20050323 038320 99999 OKEHAMPTON UK 50.717 -4.0 372.0 19760601 19891001 038330 99999 CHAWLEIGH UK 50.9 -3.8 160.0 19730101 19830116 038340 99999 PRAWLE POINT UK 50.2 -3.717 59.0 19730308 19830802 038341 99999 PRAWLE POINT UK 50.2 -3.717 59.0 20070307 20070307 038370 99999 BRIXHAM UK 50.4 -3.483 8.0 19730308 20070705 038390 99999 EXETER UK EGTE 50.733999999999995 -3.4139999999999997 31.1 19730101 20200624 038400 99999 DUNKESWELL AERODROME UK 50.867 -3.233 253.0 19910531 20200624 038410 99999 TEMP FOR 038400 UK 50.867 -3.25 255.0 19830825 20021227 038450 99999 BEER-IN-DEVON UK 50.7 -3.1 52.0 19730308 19840607 038530 99999 YEOVILTON UK EGDY 51.00899999999999 -2.639 22.9 19730101 20200624 038550 99999 PORTLAND BILL C.G. UK 50.516999999999996 -2.4330000000000003 53.0 19730112 20021101 038560 99999 PORTLAND BILL (LH) UK 50.516999999999996 -2.45 11.0 19291001 20041129 038570 99999 ISLE OF PORTLAND UK 50.516999999999996 -2.45 52.0 19730809 20200624 038580 99999 PORTLAND HELIPORT UK EGDP 50.567 -2.45 3.0 19730108 20021220 038590 99999 POOLE HARBOR UK 50.7 -1.983 5.0 20040909 20040910 038600 99999 ANVIL POINT UK 50.583 -1.9669999999999999 34.0 19780111 19810925 038610 99999 CHRISTCHURCH BAY UK 50.7 -1.6669999999999998 7.0 19811107 20020708 038620 99999 BOURNEMOUTH UK EGHH 50.78 -1.8430000000000002 11.6 19730101 20200624 038630 99999 THE NEEDLES (CAPE) UK 50.667 -1.5830000000000002 86.0 19730308 19860530 038640 99999 19291001 19390930 038650 99999 SOUTHAMPTON UK EGHI 50.95 -1.357 13.4 19730101 20200624 038660 99999 WIGHT: ST. CATHERINES POINT UK 50.583 -1.3 24.0 19730101 20200624 038670 99999 LEE-ON-SOLENT UK 50.817 -1.217 10.0 19730105 20050811 038690 99999 CALSHOT-IN-HANTS UK 50.817 -1.3 3.0 19730308 19830704 038700 99999 NAB TOWER LH (DEAD) UK 50.667 -0.95 24.0 19810121 19830713 038710 99999 19730101 19761101 038720 99999 THORNEY ISLAND UK 50.817 -0.917 3.0 19840703 20200624 038730 99999 TOTLAND UK 50.683 -1.5330000000000001 20.0 19890112 19960331 038740 99999 SOLENT UK 50.8 -1.217 13.0 19860602 20150227 038750 99999 WELLOW UK 50.683 -1.45 25.0 19890501 20070307 038760 99999 SHOREHAM UK EGKA 50.836000000000006 -0.297 2.1 19861201 20200624 038770 99999 EAST HOATHLY UK 50.917 0.15 38.0 19730101 20050817 038790 99999 SHOREHAM-BY-SEA UK 50.817 -0.25 5.0 19730209 19880105 038793 99999 SHOREHAM-BY-SEA UK 50.817 -0.267 18.0 19880105 19901016 038800 99999 NEWHAVEN (LGT-H) UK 50.783 0.05 5.0 19730101 20020929 038810 99999 BREDE UK 50.933 0.6 82.0 19880808 20050405 038820 99999 HERSTMONCEUX WEST END UK 50.9 0.317 52.0 19921201 20200624 038830 99999 EASTBOURNE UK 50.783 0.3 3.0 19730308 20050907 038840 99999 HERSTMONCEUX UK 50.867 0.33299999999999996 17.0 19761101 20030125 038850 99999 ROYAL SOVEREIGN(LH) UK 50.717 0.45 23.0 19730101 19821213 038860 99999 FAIRLIGHT UK 50.867 0.633 143.0 19730308 19910107 038871 99999 LYDD AIRPORT UK 50.95 0.9329999999999999 3.0 19750109 19880105 038873 99999 LYDD UK EGMD 50.956 0.9390000000000001 4.0 19880105 20200624 038880 99999 DUNGENESS UK 50.917 0.9670000000000001 3.0 19291001 19800314 038900 99999 CHANNEL (LGT-VSL) UK 49.9 -2.917 89.0 19790201 19820916 038915 99999 ALDERNEY GK EGJA 49.706 -2.215 88.4 19870629 20200624 038940 99999 GUERNSEY GK EGJB 49.435 -2.602 102.4 19291001 20200624 038950 99999 JERSEY JE EGJJ 49.208 -2.1959999999999997 84.4 19730101 20200624 038960 99999 ST. HELIER UK 49.2 -2.1 54.0 19840801 20200624 038980 99999 VARNE (LGT-VSL) UK 51.016999999999996 1.4 5.0 19730101 19821107 039000 99999 KNOCKAREVAN UK 54.417 -8.083 50.0 19730101 20050831 039010 99999 THOMASTOWN UK 54.333 -7.6 72.0 20120720 20200624 039020 99999 CORGARY UK 54.433 -8.05 145.0 19730809 20060207 039030 99999 ST ANGELO UK 54.4 -7.65 47.0 19850301 20130716 039040 99999 CASTLEDERG UK 54.7 -7.582999999999999 50.0 19971201 20200624 039050 99999 CARRIGANS UK 54.667 -7.317 113.0 19730101 20011116 039060 99999 CARMONEY UK 55.016999999999996 -7.233 73.0 19770803 20041231 039070 99999 MAGILLIGAN NO 2 UK 55.15 -6.933 6.0 20110901 20200624 039080 99999 BALLYKELLY UK 55.067 -7.017 5.0 19971201 20111103 039084 99999 LONDONDERRY EGLINTON UK EGAE 55.043 -7.1610000000000005 6.7 19900424 20200624 039090 99999 MONEYDIG UK 54.983000000000004 -6.6 34.0 19730101 19800724 039100 99999 MAGHERA UK 54.85 -6.7 141.0 19800912 19900124 039110 99999 LOUGH FEA UK 54.717 -6.817 227.0 19941003 20200624 039120 99999 MOYOLA UK 54.717 -6.517 17.0 19921201 20050815 039130 99999 ANNAGHMORE UK 54.45 -6.567 27.0 19810506 19851217 039140 99999 PORTRUSH UK 55.2 -6.667000000000001 8.0 19730309 20040926 039150 99999 PORTGLENONE UK 54.867 -6.45 65.0 19730308 20200624 039155 99999 COWDEN UK EGXF 53.85 -6.1 15.0 19950210 19980331 039160 99999 BALLYPATRICK FOREST UK 55.183 -6.167000000000001 156.0 19870301 20200624 039170 99999 ALDERGROVE UK EGAA 54.658 -6.216 81.7 19300228 20200624 039180 99999 CASTOR BAY UK 54.5 -6.332999999999999 18.0 19431004 20160906 039200 99999 HILLSBOROUGH UK 54.483000000000004 -6.1 38.0 19790208 20050912 039220 99999 KILKEEL UK 54.05 -6.0 18.0 19730323 19870130 039230 99999 GLENANNE NO2 UK 54.233000000000004 -6.5 160.0 19850207 20200624 039240 99999 CITY UK EGAC 54.618 -5.872999999999999 4.6 19730101 20200624 039250 99999 ORLOCK HEAD UK 54.667 -5.582999999999999 34.0 19730313 20020101 039260 99999 KILLOUGH UK 54.233000000000004 -5.617000000000001 18.0 19730107 20050814 039270 99999 BANGOR HARBOUR UK 54.667 -5.667000000000001 11.0 19920301 20071130 039280 99999 LARNE UK 54.85 -5.8 3.0 19291001 20040316 039290 99999 PORTMUCK UK 54.85 -5.733 43.0 19730323 19790529 039510 99999 SHERKIN ISLAND EI 51.467 -9.417 21.0 20091020 20200624 039520 99999 ROCHES POINT EI 51.8 -8.25 41.0 19291001 20200624 039530 99999 VALENTIA OBSERVATORY EI 51.933 -10.25 30.0 19260102 20200624 039550 99999 CORK EI EICK 51.841 -8.491 153.0 19730101 20200624 039560 99999 JOHNSTOWN CASTLE EI 52.283 -6.483 53.0 20070806 20200624 039570 99999 ROSSLARE EI 52.25 -6.332999999999999 25.0 19730101 20080407 039600 99999 KILKENNY EI 52.667 -7.267 64.0 19730101 20080407 039610 99999 OAK PARK - CARLOW EI 52.85 -6.9 63.0 20080721 20200624 039620 99999 SHANNON EI EINN 52.702 -8.925 14.0 19730101 20200624 039630 99999 MACE HEAD EI 53.317 -9.9 23.0 20091020 20200624 039640 99999 GALWAY EI 53.283 -9.017000000000001 21.0 19780616 20040928 039650 99999 BIRR EI 53.083 -7.882999999999999 72.0 19730101 20091001 039660 99999 GURTEEN EI 53.016999999999996 -8.0 76.0 19291001 20200624 039670 99999 CASEMENT EI EIME 53.302 -6.4510000000000005 97.2 19870201 20200624 039689 99999 DUBLIN WEATHER CENTER EI EIDB 53.433 -6.25 68.0 20160414 20190510 039690 99999 DUBLIN EI EIDW 53.42100000000001 -6.27 73.8 19730101 20200624 039700 99999 CLAREMORRIS EI 53.717 -8.982999999999999 69.0 19730101 20200624 039710 99999 MULLINGAR EI 53.533 -7.367000000000001 100.0 19730101 20200624 039730 99999 CONNAUGHT EI EIKN 53.91 -8.818 202.7 19291001 20200624 039740 99999 CLONES EI 54.183 -7.233 89.0 19730101 20080407 039760 99999 BELMULLET EI 54.233000000000004 -10.0 9.7 19730101 20200624 039780 99999 FINNER EI 54.483000000000004 -8.232999999999999 34.7 20010601 20200624 039790 99999 BALLYHAISE EI 54.05 -7.3 79.0 20080721 20200624 039800 99999 MALIN HEAD EI 55.367 -7.332999999999999 25.0 19260701 20200624 040010 99999 BREIDAVIK IC 65.533 -24.35 20.0 20011004 20041218 040011 99999 HVALLATUR IC 65.533 -24.467 8.0 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20200624 041970 99999 DALATANGI IC 65.267 -13.583 11.0 20031009 20200624 042000 99999 DUNDAS GL 76.5 -69.0 20.0 19460908 20041005 042010 99999 QAANAAQ GL 77.467 -69.217 19.0 19960201 20041115 042020 99999 THULE AIR BASE GL BGTL 76.531 -68.703 76.5 19511101 20200624 042021 99999 AASIAAT MITTARFIA GL 68.717 -52.8 27.0 20040510 20200624 042022 99999 JAKOBSHAVN LUFTHAVN GL 69.233 -51.067 31.0 20040510 20200624 042023 99999 QAARSUT MITTARFIA GL BGUM 70.733 -52.7 89.0 20040831 20200624 042024 99999 SISIMIUT GL BGSS 66.95 -53.733000000000004 50.0 20040510 20160625 042025 99999 UPERNAVIK GL 72.783 -56.167 122.0 20040510 20140724 042030 99999 KITSISSUT (CAREY OEER) GL 76.633 -73.0 11.0 19730701 20200624 042040 99999 MANIITSOQ GL 65.417 -52.933 15.0 20040803 20200624 042050 99999 MITTARFIK QAANAAQ GL 77.483 -69.383 16.0 19730102 20200624 042070 99999 HALL LAND GL 81.683 -59.933 105.0 19821101 20070607 042080 99999 KITSISSORSUIT (EDDERFUGLE OEER) GL 74.033 -57.817 40.0 19820104 20200624 042090 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19490101 19500804 043500 99999 APUTITEQ (AUT) GL BGAT 67.783 -32.3 18.0 19500801 19870131 043510 99999 APUTITEEQ GL BGAT 67.783 -32.283 23.0 19870301 20200624 043600 99999 TASIILAQ GL BGAM 65.6 -37.633 52.0 19360501 20200624 043610 99999 KULUSUK LUFTHAVN GL BGKK 65.583 -37.15 37.0 19431005 20200624 043650 99999 KULUSUK LUFTHAVN GL 65.567 -37.117 327.0 19730101 19901016 043730 99999 IKERMIIT GL 64.783 -40.3 80.0 19861201 20200624 043800 99999 TINGMIARMIUT GL 62.417 -42.25 10.0 19490101 20050906 043810 99999 IKERMIUARSSUK (AUT) GL 61.8 -42.0 33.0 19800215 19891129 043820 99999 IKERMIUARSUK GL 61.933 -42.067 39.0 19431101 20200624 043900 99999 PRINS CHRISTIAN GL BGPC 60.033 -43.117 19.0 19430101 20200623 044160 99999 SUMMIT GL 72.583 -38.45 3207.0 19980301 20200624 044180 99999 SUMMIT-US GL 72.583 -38.5 3198.0 20110201 20130212 044360 99999 NEEM GL 77.502 -50.873999999999995 2450.0 20110402 20151223 044520 99999 JAR 1 GL 69.49600000000001 -49.693999999999996 905.0 20151008 20160809 044580 99999 SISS CAMP GL 69.565 -49.331 1093.0 20151008 20160809 044640 99999 DYE 2 GL BGRN 66.48100000000001 -46.283 2098.0 20110201 20130212 044850 99999 SADDLE GL 65.983 -44.5 2467.0 20110105 20160809 044880 99999 NASA-SE GL 66.467 -42.483000000000004 2406.0 20110101 20160809 049999 00001 BARBER GL 71.67 -38.17 3170.0 19900726 19960629 049999 00002 CATHY (GREENLAND) GL 72.3 -38.0 3210.0 19870504 19890529 049999 00003 GISP2 GL 72.58 -38.46 3205.0 19890608 19970125 049999 00004 GRIP GL 72.57 -37.62 3230.0 19890804 19900613 049999 00005 JULIE GL 72.57 -34.63 3100.0 19910802 19950520 049999 00006 KENTON (GREENLAND) GL 72.28 -38.82 3185.0 19890609 19980619 049999 00007 KLINCK GL 72.31 -40.48 3105.0 19900809 19950517 049999 00008 MATT GL 73.48 -37.62 3100.0 19910808 19950515 060050 99999 MYKINES DA 62.1 -7.683 100.0 20010601 20150302 060080 99999 FRODBA HELIPORT DA 61.533 -6.767 23.0 20160517 20190605 060090 99999 AKRABERG DA 61.4 -6.667000000000001 102.0 19730101 20181205 060100 99999 VAGAR FO 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GORM (AUT/MAN) DA 55.583 4.7669999999999995 10.0 19821001 19860907 060240 99999 THISTED DA EKTS 57.068999999999996 8.705 7.0 19730621 20070201 060300 99999 FLYVESTATION AALBORG DA EKYT 57.093 9.849 3.0 19400401 20200624 060310 99999 TYLSTRUP DA 57.183 9.95 13.0 20050405 20200624 060320 99999 STENHOJ DA 57.383 10.333 55.0 20050405 20200624 060330 99999 HIRTSHALS DA 57.6 9.967 3.0 19770110 20200604 060335 99999 SINDAL DA 57.467 10.217 28.0 19770322 19770513 060340 99999 SINDAL DA EKSN 57.504 10.229 28.0 19820501 20200624 060370 99999 SKAGEN DA 57.783 10.732999999999999 1.0 19730921 19791125 060410 99999 SKAGEN DA 57.733000000000004 10.633 5.0 19280101 20200624 060430 99999 FREDERIKSHAVN DA 57.4 10.517000000000001 80.0 19890216 20070307 060440 99999 HALS DA 56.983000000000004 10.317 16.0 19860614 20200522 060450 99999 DYBVAD DA 57.266999999999996 10.317 16.0 19780403 19900317 060460 99999 19730111 19740805 060470 99999 LAESO TRINDEL DA 57.467 11.417 1.0 19730103 20050722 060480 99999 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062300 99999 DEN HELDER NL 52.967 4.75 7.0 19310101 19730107 062350 99999 DE KOOIJ NL EHKD 52.923 4.781000000000001 0.9 19730101 20200624 062390 99999 F3 - NETHERLANDS NL EHFD 54.85 4.7330000000000005 0.0 19940301 20200624 062400 99999 SCHIPHOL NL EHAM 52.309 4.763999999999999 -3.4 19320503 20200624 062410 99999 AMSTERDAM/COPENHA NL 52.417 4.867 0.0 20031007 20031009 062420 99999 VLIELAND ISLAND NL EHVL 53.25 4.917 5.0 19730102 20200624 062440 99999 HOORAN AWS NL 52.65 5.05 -1.0 19940901 20031214 062450 99999 19360102 19750520 062470 99999 BLOEMENDAAL NL 52.417 4.55 18.0 19960801 20060613 062480 99999 WIJDENES NL 52.633 5.167000000000001 4.0 19970204 20200624 062490 99999 BERKHOUT NL 52.65 4.9830000000000005 -3.0 20010701 20200624 062500 99999 TERSCHELLING(LGT-H) NL 53.367 5.2170000000000005 27.0 19490101 20051203 062510 99999 TERSCHELLING HOORN AWS NL 53.4 5.35 2.0 19960801 20200624 062520 99999 K13-A NL EHJR 53.217 3.217 30.0 19960801 20200624 062530 99999 AUK-ALFA NL EHAU 56.383 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TWENTHE NL EHTW 52.27 6.874 34.7 19490101 20200624 063000 99999 NOORDHINDER NL 51.65 2.5669999999999997 3.0 19310102 19840718 063080 99999 CADZAND WP NL 51.383 3.383 7.0 19960901 20200624 063100 99999 VLISSINGEN NL 51.45 3.6 10.0 19280102 20200624 063110 99999 HOOFDPLAAT NL 51.367 3.667 0.0 20010701 20160705 063120 99999 OOSTERSCHELDE WP NL 51.766999999999996 3.617 0.0 19960901 20200624 063130 99999 VLAKTE VAN RAAN NL 51.5 3.25 0.0 20010704 20200624 063150 99999 HANSWEERT NL 51.433 4.0169999999999995 0.0 20010704 20200624 063160 99999 OOSTERSCHELDE 4 NL 51.65 3.7 0.0 19960901 20200624 063190 99999 WESTDORPE NL 51.233000000000004 3.867 2.0 19940901 20200624 063200 99999 LE GOEREE NL EHSC 51.933 3.667 19.0 19490101 20200624 063210 99999 EURO PLATFORM NL EHSA 52.0 3.283 18.0 19960801 20200624 063230 99999 WILHELMINADORP AWS NL 51.533 3.883 1.0 19940901 20200624 063240 99999 STAVENISSE NL 51.6 4.0 0.0 20010704 20200624 063250 99999 ZIERIKZEE NL 51.65 3.9330000000000003 1.0 19740613 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19490101 20200624 063850 99999 DE PEEL(NAFB) NL 51.55 5.933 31.0 19730402 19940611 063910 99999 ARCEN AWS NL 51.5 6.2 19.0 19940901 20200624 064000 99999 KOKSIJDE BE EBFN 51.09 2.653 6.1 19490101 20200624 064040 99999 WEST-HINDER (LV) BE 51.4 2.4330000000000003 7.0 19740903 20031110 064070 99999 OOSTENDE BE EBOS 51.199 2.862 4.0 19360103 20200624 064080 99999 OOSTENDE (PIER) BE 51.233000000000004 2.917 15.0 19490101 20060112 064100 99999 ZEEBRUGGE TERMINAL BE 51.35 3.2 18.0 19520101 19550925 064140 99999 BEITEM BE 50.9 3.117 25.0 20080115 20200624 064160 99999 WEVELGEM BE 50.817 3.2 25.0 19771030 20030514 064180 99999 ZEEBRUGGE BE 51.35 3.2 9.0 20091026 20200624 064280 99999 SEMMERZAKE BE EBMT 50.933 3.667 37.5 19730101 20200624 064310 99999 GENT/INDUSTRIE-ZONE BE EBGT 51.183 3.8 8.0 19791030 20181029 064320 99999 CHIEVRES AB BE EBCV 50.576 3.8310000000000004 58.8 19730101 20200624 064324 99999 LIEGE BE EBLH 50.633 5.45 201.0 19990114 20100917 064325 99999 CASTEAU/HELI (MET) BE EBCT 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066460 99999 BEZNAU SZ 47.567 8.232999999999999 327.0 20080604 20200624 066470 99999 WUERENLINGEN SZ 47.533 8.232999999999999 337.0 20050321 20200624 066480 99999 EGOLZWIL SZ 47.183 8.0 522.0 20110124 20200624 066490 99999 LAUFENBURG SZ 47.55 8.05 322.0 20020424 20020424 066500 99999 LUZERN SZ 47.033 8.3 456.0 19901101 20200624 066510 99999 SCHUEPFHEIM SZ 46.95 8.017000000000001 743.7 20110124 20200624 066520 99999 FLUEHLI SZ 46.883 8.017000000000001 939.8 20020331 20200624 066540 99999 BRUGG-WILDEGG SZ 47.467 8.167 350.0 20031120 20031120 066550 99999 ENGELBERG SZ 46.817 8.417 1018.0 19901101 20200624 066560 99999 BRIENZ SZ 46.75 8.067 580.0 20121130 20200624 066570 99999 GISWIL SZ 46.85 8.2 475.0 20110124 20200624 066580 99999 ALPNACH SZ LSMA 46.943999999999996 8.283999999999999 445.0 19771212 20200624 066590 99999 PILATUS SZ 46.983000000000004 8.25 2110.0 19891016 20200624 066600 99999 ZUERICH-FLUNTERN SZ 47.383 8.567 557.6 19350101 20200624 066621 99999 GRENCHEN SZ LSZG 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(USAFB) SP LEZA 41.667 -1.05 263.0 19570701 20010108 081606 99999 ZARAGOZA (MIL/CIV)& SP 41.667 -1.033 263.0 19770427 19830209 081610 99999 ZARAGOZA SP 41.633 -0.9 222.0 19730101 20050614 081620 99999 PERDIGUERA SP 41.733000000000004 -0.55 820.0 20041201 20050404 081710 99999 LERIDA SP 41.633 0.6 199.0 19730101 20200624 081750 99999 REUS SP LERS 41.147 1.167 71.3 19730101 20200624 081760 99999 TARRAGONA SP 41.117 1.25 64.0 19730101 20040105 081763 99999 SABADELL SP LELL 41.516999999999996 2.1 250.0 20000830 20200624 081800 99999 BARCELONA CITY SP 41.417 2.133 176.0 19730101 20200624 081810 99999 BARCELONA SP LEBL 41.297 2.0780000000000003 3.7 19730101 20200624 081820 99999 MONTSENY MTN RANGE SP 41.783 2.4330000000000003 1708.0 19730502 20060111 081830 99999 GERONA-IN-CATALUNA SP 41.983000000000004 2.833 98.0 19730101 19780808 081840 99999 GIRONA SP LEGE 41.901 2.761 142.6 19731129 20200624 081860 99999 SAN LORENZO SP 41.633 2.017 1092.0 19731108 20200624 082010 99999 SALAMANCA SP 40.95 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UNIVERSITARIA SP 40.45 -3.717 669.0 19791201 20200624 082204 99999 MADRI-COLMENAR SP 40.65 -3.733 0.0 19920807 19930820 082210 99999 BARAJAS SP LEMD 40.494 -3.5669999999999997 609.6 19310102 20200624 082211 99999 MADRID WEATHER CENTER SP LEMM 40.483000000000004 -3.583 633.0 20041209 20140319 082220 99999 MADRID RETIRO SP 40.417 -3.6830000000000003 667.0 19990412 20200624 082230 99999 CUATRO VIENTOS SP LEVS 40.371 -3.785 691.0 19730719 20200624 082240 99999 GETAFE SP LEGT 40.294000000000004 -3.7239999999999998 618.4 19730101 20200624 082260 99999 GUADALAJARA SP 40.667 -3.167 640.0 19730101 20200624 082270 99999 TORREJON SP LETO 40.497 -3.446 617.5 19571001 20200624 082310 99999 CUENCA SP 40.067 -2.133 946.0 19730101 20200624 082320 99999 MOLINA DE ARAGON SP 40.85 -1.883 1063.0 19730102 20200624 082330 99999 CALAMOCHA SP LECH 40.933 -1.3 889.0 19730101 20200624 082350 99999 TERUEL SP 40.35 -1.117 902.0 19730101 20200624 082380 99999 TORTOSA SP 40.817 0.5 50.0 19730101 20200624 082610 99999 CACERES SP 39.467 -6.332999999999999 405.0 19730101 20200624 082620 99999 SIERRA DE FUENTES SP 39.433 -6.2829999999999995 667.0 20050106 20051224 082720 99999 TOLEDO SP 39.883 -4.05 516.0 19730101 20200624 082800 99999 ALBACETE SP LEAB 38.949 -1.864 701.6 19730101 20200624 082820 99999 INIESTA SP 39.433 -1.75 762.0 19751101 19781003 082840 99999 VALENCIA SP LEVC 39.489000000000004 -0.48200000000000004 68.6 19730101 20200624 082850 99999 VALENCIA VIVEROS SP 39.483000000000004 -0.38299999999999995 11.0 19730101 20200624 082860 99999 CASTELLON-ALMAZORA SP 39.95 -0.067 43.5 19730101 20200624 082900 99999 ALCIRA/ALZIRA SP 39.15 -0.433 20.0 19730102 20200624 083010 99999 PALMA DE MALLORCA CMT SP 39.55 2.633 6.0 19800418 20200624 083030 99999 ALFABIA MTN RANGE SP 39.733000000000004 2.717 1015.0 19730101 20200624 083060 99999 PALMA DE MALLORCA SP LEPA 39.55 2.733 8.0 19730101 20200624 083070 99999 POLLENSA SP 39.9 3.1 7.0 19730102 19780602 083140 99999 MENORCA SP LEMH 39.863 4.218999999999999 90.8 19310103 20200624 083300 99999 TALAVERA LA REAL SP LEBZ 38.891 -6.821000000000001 185.6 19730101 20200624 083350 99999 HINOJOSA DEL DUQUE SP LEHI 38.516999999999996 -5.117 540.0 19730101 20200624 083480 99999 CIUDAD REAL SP LERL 38.983000000000004 -3.917 629.0 19730101 20200624 083550 99999 BOGUS SPANISH SP 19830401 20011129 083590 99999 ALICANTE SP 38.367 -0.5 82.0 19730101 20200624 083600 99999 ALICANTE SP LEAL 38.282 -0.5579999999999999 43.3 19730101 20200624 083610 99999 AITANA (PEAK) SP 38.65 -0.267 1497.0 19730103 20051017 083620 99999 BENIDORM SP 38.533 -0.15 10.0 19760201 19840629 083650 99999 DENIA SP 38.833 0.11699999999999999 15.0 19730102 20200624 083730 99999 IBIZA SP LEIB 38.873000000000005 1.3730000000000002 6.1 19730101 20200624 083830 99999 HUELVA SP 37.283 -6.917000000000001 20.0 19730101 20200624 083840 99999 EL ARENOSILLO SP 37.1 -6.733 41.0 20020430 20070307 083900 99999 SEVILLA/TABLADA SP 37.367 -6.0 14.0 19730101 20051206 083905 99999 SEVILLA HELIPORT SP LEEC 37.317 -6.0 5.0 20070629 20200624 083910 99999 SEVILLA SP LEZL 37.418 -5.893 33.8 19730101 20200624 083970 99999 MORON AB SP LEMO 37.175 -5.6160000000000005 86.9 19580102 20200624 084100 99999 CORDOBA SP LEBA 37.842 -4.849 90.5 19730101 20200624 084170 99999 JAEN SP 37.783 -3.8169999999999997 580.0 19730201 20200624 084190 99999 GRANADA SP LEGR 37.189 -3.7769999999999997 566.9 19730101 20200624 084200 99999 GRANADA / ARMILLA SP 37.133 -3.617 717.0 19730101 20040108 084290 99999 ALCANTARILLA SP LERI 37.951 -1.23 76.2 19730101 20200624 084300 99999 MURCIA SP 38.0 -1.167 62.0 19730101 20200624 084310 99999 CASTILLO GALERAS SP 37.583 -1.0 217.0 19730101 20040805 084330 99999 MURCIA SAN JAVIER SP LELC 37.775 -0.812 3.4 19730101 20200624 084490 13025 ROTA NAVAL AIR STATION SP LERT 36.65 -6.35 25.6 19730101 20200624 084510 99999 JEREZ SP LEJR 36.745 -6.06 28.3 19730101 20200624 084515 99999 LLEIDA-ALGUAIRE AIRPORT SP LEDA 41.728 0.536 350.0 20100114 20200624 084520 99999 CADIZ OBS SP 36.5 -6.25 9.0 19730101 20200624 084530 99999 SAN FERNANDO SP 36.467 -6.2 30.0 19310103 20200624 084580 99999 TARIFA SP 36.0 -5.6 25.0 19730101 20200624 084750 99999 ALHAURIN EL GRANDE SP 36.617 -4.667 1147.0 20050604 20051221 084820 99999 MALAGA SP LEMG 36.675 -4.499 15.8 19730101 20200624 084840 99999 MALAGA SP 36.717 -4.417 54.0 19751215 19751215 084870 99999 ALMERIA SP LEAM 36.844 -2.37 21.3 19310102 20200624 084880 99999 ALMERIA SP 36.833 -2.467 7.0 20020109 20180530 084890 99999 NIJAR SP 36.833 -2.083 486.0 20040817 20050221 084900 99999 ALBORAN ISLAND SP 35.933 -3.033 19.0 19730101 20180530 084950 99999 GIBRALTAR GI LXGB 36.150999999999996 -5.35 4.6 19580101 20200624 085010 99999 FLORES PO LPFL 39.455 -31.131 34.1 19781201 20200624 085020 99999 CORVO ISLAND AZORES PO LPCR 39.67 -31.12 26.0 20031023 20200624 085030 99999 CORVO ISLAND AZ 39.667 -31.116999999999997 28.0 19480111 19840509 085050 99999 HORTA PO LPHR 38.52 -28.715999999999998 36.0 19760201 20200624 085060 99999 HORTA (ACORES) PO 38.516999999999996 -28.633000000000003 62.0 19310101 20200624 085070 99999 GRACIOSA AERODROME PO 39.1 -28.033 26.2 20180205 20200524 085080 99999 LAJES/SANTA RITA (ACORES) PO 38.766999999999996 -27.066999999999997 113.0 19990101 20050504 085090 99999 LAJES PO LPLA 38.762 -27.090999999999998 54.9 19470101 20200624 085095 99999 SAO JORGE PO LPSJ 38.666 -28.176 94.8 20061010 20200624 085110 99999 ANGRA DO HEROISMO (ACORES) PO 38.667 -27.217 76.0 19971201 20200624 085120 99999 PONTA DELGADA PO LPPD 37.741 -25.698 78.9 19310103 20200624 085125 99999 PICO PO LPPI 38.554 -28.441 33.2 20050628 20200624 085130 99999 PONTA DELGADA/OBS. (ACORES) PO 37.75 -25.666999999999998 36.0 20020416 20050702 085150 99999 SANTA MARIA PO LPAZ 36.971 -25.171 93.9 19440807 20200624 085155 99999 GRACIOSA PO LPGR 39.092 -28.03 26.2 20050719 20160304 085210 99999 FUNCHAL/S.CATARINA PO LPFU 32.683 -16.767 58.0 19480111 20200624 085220 99999 FUNCHAL PO 32.633 -16.9 56.0 19310101 20200624 085240 99999 PORTO SANTO PO LPPS 33.073 -16.35 103.9 19480113 20200624 085300 99999 CABO CARVOEIRO PO 39.35 -9.4 34.0 19480111 20111009 085305 99999 ALVERCA (POR-AFB) PO 38.883 -9.033 3.0 19730623 19730927 085310 99999 CABO CARVOEIRO PO 39.35 -9.4 34.0 20070822 20200617 085320 99999 SINTRA PO LPST 38.830999999999996 -9.34 134.1 19901001 20200624 085330 99999 SAGRES PO 37.0 -8.95 26.0 20010705 20200624 085340 99999 MONTIJO PO LPMT 38.704 -9.036 14.0 19830503 20200624 085350 99999 LISBOA/GEOF PO 38.717 -9.15 95.0 19901101 20200624 085360 99999 LISBOA PO LPPT 38.781 -9.136000000000001 114.0 19310103 20200624 085370 99999 ALVERCA PO LPAR 38.883 -9.03 3.4 19990104 20200624 085380 99999 SAGRES PO 37.0 -8.95 25.0 19480114 20020519 085390 99999 OTA PO 39.117 -8.982999999999999 49.0 19901105 20061220 085400 99999 MONTE REAL PO LPMR 39.830999999999996 -8.887 57.0 19901006 20200624 085410 99999 SINES/MONTES CHAOS PO 37.95 -8.867 103.0 19890422 20200624 085420 99999 SINES PO 37.95 -8.883 16.0 19800401 19810331 085430 99999 VIANA DO CASTELO PO 41.7 -8.8 18.0 19480111 20060322 085440 99999 OVAR/MACEDA PO 40.917 -8.633 22.0 19901101 20200624 085450 99999 PORTO PO LPPR 41.248000000000005 -8.681000000000001 69.5 19310103 20200624 085460 99999 PORTO/SERRA DO PILAR PO 41.133 -8.6 100.0 19901006 20080403 085470 99999 AVEIRO(PAFB) PO 40.65 -8.732999999999999 19.0 20011104 20051208 085480 99999 COIMBRA/CERNACHE PO 40.15 -8.467 179.0 19960801 20200624 085490 99999 COIMBRA PO 40.2 -8.417 140.0 19480111 20170303 085500 99999 CORUCHE CRUZ DO LE?O PO 39.067 -8.4 167.0 20040523 20060323 085510 99999 VIANA DO CASTELO-CHAPE PO 41.633 -8.8 48.0 20061010 20200624 085520 99999 TANCOS PO LPTN 39.475 -8.365 81.1 19901006 20090831 085540 99999 FARO PO LPFR 37.014 -7.966 7.3 19480111 20200624 085550 99999 FARO/CIDADE PO 37.016999999999996 -7.917000000000001 8.0 19971201 20030731 085570 99999 EVORA PO 38.567 -7.9 321.0 19480112 20050722 085580 99999 EVORA/C. COORD PO 38.533 -7.9 246.0 19950701 20200624 085581 99999 OVAR PO LPOV 40.916 -8.646 17.1 20040525 20200624 085600 99999 VISEU PO 40.717 -7.882999999999999 644.0 19971201 20200624 085610 99999 BEJA/B. AEREA PO 38.067 -7.917000000000001 203.0 19971201 20200624 085620 99999 BEJA PO LPBJ 38.079 -7.932 193.9 19480808 20200624 085660 99999 VILA REAL PO 41.317 -7.733 481.0 19480121 19920324 085670 99999 VILA REAL PO LPVR 41.273999999999994 -7.72 550.2 19920501 20200624 085680 99999 PENHAS DOURADAS PO 40.417 -7.55 1388.0 19480113 20200624 085700 99999 CASTELO BRANCO PO 39.833 -7.483 384.0 19860604 20200624 085710 99999 PORTALEGRE PO 39.283 -7.417000000000001 590.0 19480112 20200624 085750 99999 BRAGANCA PO LPBG 41.86 -6.706 690.4 19480112 20200624 085790 99999 LISBOA/GAGO COUTINHO PO 38.766999999999996 -9.133 105.0 19840502 20200624 085830 99999 MINDELO CV 16.833 -25.05 20.0 19310103 20200624 085890 99999 PRAIA CV 14.933 -23.483 95.0 19330309 20200624 085940 99999 AMILCAR CABRAL INTL CV GVAC 16.741 -22.949 53.9 19480304 20200624 085944 99999 BOA VISTA RABIL CV GVBA 16.137 -22.889 21.0 20080902 20200624 085945 99999 SAO PEDRO CV GVSV 16.834 -25.057 20.1 20071004 20200624 085950 99999 FRANCISCO MENDES CV GVFM 14.924000000000001 -23.494 230.0 20041002 20120318 089110 99999 ARAGUES DEL PUERTO- LIZARRA SP 42.766999999999996 -0.633 1540.0 20191211 20200624 089120 99999 ISABA EL FERIAL SP 42.95 -0.8 1591.0 20151207 20200623 089130 99999 ANSO REFUGIO DE LINZA SP 42.9 -0.8 1340.0 20191211 20200313 089140 99999 CANDANCHU 'ETUKSA' SP 42.783 -0.5329999999999999 1560.0 20031016 20200624 089160 99999 ASTUN 'ESQUI 1730' SP 42.817 -0.5 1730.0 20191219 20200624 089170 99999 SALLENT DE GALLEGO 'FURCO' SP 42.766999999999996 -0.38299999999999995 1855.0 20060201 20200321 089180 99999 SALLENT DE GALLEGO 'FORMIGAL' SP 42.766999999999996 -0.36700000000000005 1500.0 20191212 20200624 089200 99999 SALLENT DE GALLEGO 'RESPOMUSO' SP 42.817 -0.3 2145.0 20051101 20200624 089220 99999 PANTICOSA 'REFUGIO CASA PIEDRA' SP 42.766999999999996 -0.233 1645.0 20050111 20200624 089240 99999 PANTICOSA ESQUI SP 42.7 -0.28300000000000003 1830.0 20191211 20200320 089250 99999 ERISTE REFUGIO ANGEL ORUS SP 42.633 0.45 2115.0 20191211 20200624 089260 99999 FANLO 'REFUGIO DE GORIZ' SP 42.667 0.017 2195.0 20191211 20200624 089270 99999 BIELSA REFUGIO DE PINETA SP 42.667 0.1 1240.0 20191211 20200623 089280 99999 BENASQUE 'REFUGIO DE ESTOS' SP 42.683 0.483 1890.0 20191211 20200624 089300 99999 CERLER ESQUI COTA 2000 SP 42.567 0.55 2020.0 20191212 20200313 089480 99999 VALLTER 2000 SP 42.433 2.267 2167.0 20031017 20051128 089580 99999 CAMARENA DE LA SIERRA SP 40.117 -1.033 1520.0 20191212 20200624 089600 99999 VALDELINARES 'ESQUI' SP 40.383 -0.633 1955.0 20031222 20200619 090910 99999 ARKONA (CAPE) & GM 54.683 13.433 42.0 19750701 20020729 090930 99999 BOGUS GERMAN GM 19901203 19911031 091610 99999 BOLTENHAGEN & GM 54.0 11.2 15.0 19750701 19911031 091620 99999 SCHWERIN & GM 53.633 11.417 59.0 19750701 19920517 091680 99999 BOGUS GERMAN GM 19901203 19911030 091700 99999 WARNEMUENDE GM 54.183 12.083 4.0 19750701 20011121 091770 99999 TETEROW & GM 53.766999999999996 12.617 46.0 19750701 19911031 091800 99999 BARTH GM ETBH 54.333 12.717 7.0 19791106 19911031 091810 99999 PAROW GM ETPA 54.367 13.083 4.0 19910506 19911009 091840 99999 GREIFSWALD & GM 54.1 13.383 2.0 19771203 20020421 091850 99999 GRIEFSWALD/WIECK GM 54.1 13.45 2.0 19750701 19780110 091930 99999 UECKERMUENDE (AUT) GM 53.75 14.067 1.0 19750701 20020518 092490 99999 BOIZENBURG (AUT) & GM 53.383 10.717 45.0 19750701 19911031 092610 99999 SEEHAUSEN/ALTMARK GM 52.9 11.732999999999999 0.0 19761007 19920516 092620 99999 WITTENBERGE & GM 53.033 11.8 24.0 19750701 19770323 092640 99999 MARNITZ (AUT) & GM 53.317 11.933 81.0 19761001 19911031 092670 99999 BOGUS GERMAN GM 19901005 19911031 092700 99999 NEURUPPIN & GM 52.9 12.817 38.0 19750701 19911031 092770 99999 NEUGLOBSOW GM 53.15 13.033 62.0 19910206 19911031 092790 99999 NEUSTRELITZ & GM 53.35 13.083 64.0 19750701 20010803 092800 99999 NEUBRANDENBURG GM 53.6 13.317 79.0 19760701 19911031 092810 99999 NEUBRANDENBURG/TROL GM ETNB 53.6 13.317 71.0 19910421 19911027 092890 99999 BOGUS GERMAN GM 19901001 19911031 092910 99999 ANGERMUENDE GM 53.016999999999996 14.0 48.0 19750701 19911031 093560 99999 BOGUS GERMAN GM 19901101 19911031 093590 99999 GARDELEGEN (AUT) & GM 52.516999999999996 11.4 47.0 19750701 19911031 093610 99999 MAGDEBURG & GM ETMG 52.1 11.583 79.0 19750701 19920516 093650 99999 BOGUS GERMAN GM 19910701 19911030 093680 99999 BOGUS GERMAN GM 19901101 19911031 093790 99999 POTSDAM & GM 52.383 13.067 81.0 19750701 19920517 093810 99999 19750728 19750728 093850 99999 BERLIN/SCHONEFELD GM 52.383 13.517000000000001 48.0 19750401 19920517 093890 99999 BOGUS GERMAN GM 19910502 19911031 093930 99999 LINDENBERG & GM 52.217 14.117 98.0 19750701 19920503 093950 99999 NEUHARDENBERG/WRIEZ GM ETWN 52.617 14.232999999999999 10.0 19910511 19910912 093960 99999 BOGUS GERMAN GM 19901206 19911031 093980 99999 FRANKFURT/ODER GM 52.367 14.533 48.0 19750701 19860622 094490 99999 LEINEFELDE (AUT) & GM 51.383 10.317 354.0 19750701 19911031 094530 99999 BROCKEN (PEAK) GM 51.8 10.617 1142.0 19750701 19911031 094540 99999 WERNIGERODE (AUT) & GM 51.85 10.767000000000001 234.0 19750701 19911031 094550 99999 BOGUS GERMAN GM 19901001 19910801 094580 99999 BOGUS GERMAN GM 19901001 19911031 094600 99999 ARTERN & GM 51.367 11.3 164.0 19750701 19911031 094690 99999 LEIPZIG/SCHKEUDITZ& GM 51.417 12.232999999999999 142.0 19750701 19911031 094740 99999 WITTENBERG & GM 51.883 12.65 104.0 19750701 19911031 094790 99999 COLLMBERG (DEAD) GM 51.3 13.017000000000001 370.0 19750701 19910115 094800 99999 OSCHATZ GM 51.3 13.117 152.0 19830201 19911031 094880 99999 DRESDEN/KLOTZSCHE GM 51.133 13.8 226.0 19750401 19920516 094900 99999 DOBERLUG/KIRCHHAIN& GM 51.65 13.583 97.0 19750701 20011009 094920 99999 COTTBUS GM ETCB 51.766999999999996 14.3 68.0 19750701 19911003 094930 99999 PRESCHEN GM ETPR 51.667 14.633 100.0 19910411 19911029 094960 99999 COTTBUS GM ETCO 51.783 14.333 69.0 19830201 19911031 094990 99999 GOERLITZ GM 51.167 14.95 237.0 19750702 19911031 095460 99999 BOGUS GERMAN GM 50.633 10.15 487.0 19750701 19911031 095480 99999 MEININGEN & GM 50.55 10.367 448.0 19790101 19911031 095490 99999 GROSSER INSELSBERG& GM 50.85 10.467 944.0 19750701 19780831 095510 99999 BOGUS GERMAN GM 19910701 19911031 095520 99999 SCHMUECKE (RIDGE) GM 50.65 10.767000000000001 935.0 19780801 19911031 095540 99999 ERFURT/BINDERSLEBN& GM 50.983000000000004 10.967 315.0 19750701 19920516 095570 99999 NEUHAUS GM 50.5 11.15 850.0 19900206 19911031 095580 99999 SONNEBERG/NEUFANG & GM 50.383 11.183 630.0 19750701 19911031 095640 99999 BOGUS GERMAN GM 19901101 19911031 095650 99999 BOGUS GERMAN GM 19901101 19911031 095670 99999 GERA/LEUMNITZ & GM 50.883 12.133 303.0 19750702 19911031 095690 99999 PLAUEN (AUT) GM 50.5 12.15 408.0 19750701 19911031 095740 99999 BOGUS GERMAN GM 19901001 19911031 095750 99999 BOGUS GERMAN GM 19901001 19911031 095770 99999 KARL-MARX-STADT & GM 50.817 12.9 357.0 19750701 19911031 095780 99999 FICHTELBERG MTN & GM 50.433 12.95 1213.0 19750701 20021106 095790 99999 BOGUS GERMAN GM 19901204 19911031 095820 99999 ZINNWALD/GEORGENFE& GM 50.733000000000004 13.75 887.0 19761001 19911031 095823 99999 BOGUS EAST GERMAN GM ETAR 19870304 19890228 095910 99999 BOGUS GERMAN GM 19910501 19911031 095970 99999 BOGUS GERMAN GM 19910101 19910706 100001 99999 NIEDERRHEIN GM EDLV 51.602 6.142 32.3 20050101 20200624 100010 99999 FORSCHUNGS PLATFORM GM 54.7 7.167000000000001 24.0 19310101 20030203 100020 99999 BORKUMRIFF(LGT-VSL) GM 53.8 6.367000000000001 6.0 19280101 19891216 100030 99999 LIGHTSHIP 01 WESER GM 53.867 7.832999999999999 5.0 19310101 19900219 100031 99999 LIGHTSHIP 01 WESER GM 53.917 7.832999999999999 0.0 19730101 19810923 100040 99999 UFS TW/EMS (AUT) GM 54.167 6.35 3.0 19590805 20030816 100050 99999 ELBE 1 (LGT-VSL) GM 54.0 8.117 5.0 19310101 19921231 100060 99999 NORDSEEBOJE III GM 54.683 6.75 5.0 19310101 19811231 100065 99999 MARIENLEUCHTE GM 54.5 11.232999999999999 4.0 19730101 19730601 100070 99999 UFS DEUTSCHE BUCHT GM 54.183 7.433 3.0 19730101 20030816 100080 99999 NORDSEEBOJE I GM 55.0 6.332999999999999 3.0 19310101 20081230 100100 99999 19310101 19390731 100130 99999 19360102 19421230 100150 99999 HELGOLAND/DUNE GM 54.183 7.9 4.0 19730101 20030816 100155 99999 HELGOLAND GM 54.2 7.882999999999999 4.0 19730101 19740205 100180 99999 WESTERLAND SYLT GM EDXW 54.913000000000004 8.34 15.5 19890318 20200624 100190 99999 19310101 19411231 100195 99999 WESTERLAND/SYLT & GM EDHX 54.917 8.35 16.0 19780601 19811005 100196 99999 WESTERLAND/SYLT GM 54.917 8.35 16.0 19870416 19881009 100200 99999 LIST/SYLT GM 55.016999999999996 8.417 26.0 19340101 20030816 100220 99999 LECK GM 54.8 8.95 17.0 19730101 20081231 100260 99999 HUSUM (GER-AFB) GM 54.516999999999996 9.15 28.0 19730101 19921231 100270 99999 19360605 19421231 100280 99999 ST PETER-ORDING GM 54.333 8.6 11.0 20010915 20081231 100290 99999 19730101 19740821 100320 99999 19370301 19390731 100330 99999 MEIERWIK GM ETGG 54.833 9.5 33.0 19360101 20200624 100340 99999 EGGEBEK GM ETME 54.625 9.346 20.0 19730101 20050629 100350 99999 SCHLESWIG GM 54.533 9.55 43.0 19590805 20030816 100370 99999 SCHLESWIG GM ETNS 54.458999999999996 9.516 21.3 19420101 20200624 100380 99999 HOHN GM ETNH 54.312 9.538 11.9 19730101 20200624 100420 99999 OLPENITZ (AUT) GM 54.667 10.033 4.0 19750606 20030816 100440 99999 KIEL (LGT-H/AUT) GM 54.5 10.283 21.0 19370815 20030816 100450 99999 KIEL/KRONSHAGEN GM 54.333 10.1 19.0 19340101 19900301 100460 99999 KIEL/HOLTENAU(GNVY) GM ETMK 54.383 10.15 31.0 19290801 20030816 100465 99999 KIEL HOLTENAU GM EDHK 54.38 10.145 30.8 19950827 20200624 100480 99999 FRIEDRICHSORT GM 54.383 10.183 11.0 19750523 20010925 100500 99999 19420101 19431231 100550 99999 FEHMAR GM 54.533 11.067 9.0 19960901 20081231 100630 99999 PUTTGARDEN (AUT) GM 54.5 11.217 3.0 19860604 19921231 100670 99999 MARIENLEUCHTE GM 54.5 11.232999999999999 12.0 19310101 20041013 100910 99999 ARKONA (CAPE) GM 54.683 13.433 41.0 19310101 20030816 100930 99999 PUTBUS GM 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19350101 19400324 101800 99999 BARTH GM 54.367 12.732999999999999 7.0 19360608 20030816 101810 99999 PAROW GM 54.367 13.083 4.0 19360325 20020501 101840 99999 GREIFSWALD GM 54.1 13.4 6.0 19911028 20030816 101850 99999 NAME AND LOC UNKN GM 0.0 0.0 -999.0 19370102 20020903 101920 99999 HERINGSDORF GM 53.883 14.15 28.0 19370202 20041024 101930 99999 UECKERMUENDE (AUT) GM 53.75 14.067 7.0 19361005 20030816 101935 99999 HERINGSDORF GM EDAH 53.879 14.152000000000001 28.3 19950315 20200624 102000 99999 EMDEN GM EDWE 53.391000000000005 7.227 0.6 19830506 20130528 102020 99999 EMDEN/WOLTHUSEN GM 53.367 7.2170000000000005 1.0 19590805 19830523 102030 99999 EMDEN/HAFEN GM 53.333 7.2 6.0 19600401 19921231 102040 99999 EMDEN-KNOCK GM 53.333 7.0329999999999995 2.0 20040929 20040929 102050 99999 PAPENBURG (AUT) GM 53.083 7.382999999999999 1.0 19870906 19900527 102130 99999 19390502 19431231 102150 99999 OLDENBURG GM 53.183 8.167 20.0 19730101 20081231 102180 99999 AHLHORN(GAFB) GM 52.883 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39.3 19401001 20171220 103070 99999 RHEINE/WALDHUGEL GM 52.266999999999996 7.433 78.0 19830504 20030227 103080 99999 NORDHORN RANGE GM ETUN 52.45 7.167000000000001 26.0 19310102 20040915 103084 99999 NORDHORN RANGE & GM 52.45 7.167000000000001 26.0 19771003 19900424 103090 99999 AHAUS GM 52.083 6.95 46.0 19411201 19431231 103100 99999 19310502 19431229 103120 99999 BELM GM 52.318000000000005 8.17 104.0 19310102 19421231 103130 99999 MUNSTER/TELGTE GM EDLT 51.967 7.6 64.0 19380404 19891129 103134 99999 MUNSTER/OSNABRUCK GM 52.133 7.683 48.0 19771108 19881027 103140 99999 HOPSTEN GM ETNP 52.339 7.541 40.0 19730101 20051223 103150 99999 MUNSTER OSNABRUCK GM EDDG 52.135 7.685 48.8 19881027 20200624 103160 99999 19300501 19421231 103170 99999 OSNABRUCK/ATTERHEID GM 52.25 8.05 95.0 19390519 20030816 103180 99999 BORGHOLZHAUSEN GM 52.117 8.283 305.0 19850227 20021122 103190 99999 19360501 19411222 103193 99999 PADERBORN/LIPPSTAD& GM 51.617 8.617 217.0 19870302 19881026 103200 99999 GUTERSLOH 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19431231 103590 99999 GARDELEGEN (AUT) GM 52.516999999999996 11.4 48.0 19360101 20030816 103610 99999 MAGDEBURG GM 52.117 11.583 85.0 19310101 20030816 103620 99999 MAGDENBURG GM 52.067 11.617 81.0 19381014 19431231 103630 99999 19350105 19431231 103640 99999 19360603 19411231 103650 99999 GENTHIN (AUT) GM 52.383 12.167 39.0 19911022 20030816 103660 99999 19360803 19431231 103680 99999 WIESENBURG GM 52.117 12.467 188.0 19911101 20041231 103700 99999 BRANDENBURG/BRIEST GM 52.433 12.45 31.0 19381201 20010923 103710 99999 19400501 19411231 103760 99999 BARUTH GM 52.117 13.617 57.0 20030518 20030816 103780 99999 POTSDAM (SOR) GM 52.367 13.083 89.0 20040510 20040510 103790 99999 POTSDAM GM 52.383 13.067 100.0 19730101 20030816 103800 99999 POTSDAM GQ 52.383 13.05 70.1 19520101 19601231 103810 99999 BERLIN/DAHLEM GM 52.467 13.3 51.0 19730101 20030816 103820 99999 TEGEL GM EDDT 52.56 13.288 37.2 19360310 20200624 103830 99999 19391114 19431231 103840 99999 TEMPELHOF GM EDDI 52.473 13.404000000000002 50.9 19290801 20090703 103850 99999 SCHONEFELD GM EDDB 52.38 13.523 47.9 19400408 20200624 103860 99999 19731129 19740923 103870 99999 19350201 19431231 103890 99999 BERLIN/ALEXANDERPLZ GM 52.516999999999996 13.417 84.0 19911101 20030816 103930 99999 LINDENBERG GM 52.217 14.117 112.0 19311001 20030816 103940 99999 LINDENBERG GM 52.217 14.117 101.0 20040714 20040714 103950 99999 TROLLENBERG-BEESKOW GM 52.167 14.117 71.0 19920126 20030326 103960 99999 MANSCHNOW GM 52.55 14.55 16.0 19911101 20030816 103980 99999 FRANKFURT /ODER GQ 52.367 14.517000000000001 49.1 19360102 19750630 104000 99999 DUSSELDORF GM EDDL 51.288999999999994 6.767 44.8 19310102 20200624 104010 99999 BRUGGEN (RAF) GM ETUR 51.2 6.132999999999999 76.0 19730102 20030622 104020 99999 WILDENRATH(GAFB) GM 51.117 6.2170000000000005 89.0 19730101 20030508 104030 99999 MOENCHENGLADBACH GM 51.233000000000004 6.5 38.0 19381001 19421031 104040 99999 KALKAR (MIL COMM) GM ETGY 51.75 6.2829999999999995 43.0 19730102 20140122 104043 99999 KALKAR (MIL COMM) GM 51.683 6.167000000000001 19.0 19820927 19870304 104050 99999 LAARBRUCH (RAF) GM ETUL 51.6 6.15 31.0 19730102 20030615 104060 99999 BOCHOLT GM 51.833 6.5329999999999995 25.0 19730101 20030816 104070 99999 19381001 19421231 104090 99999 ESSEN/MUELHEIM GM 51.4 6.9670000000000005 161.0 19300414 19431231 104100 99999 ESSEN/MULHEIM GM EDZE 51.4 6.9670000000000005 161.0 19310101 20030816 104160 99999 DORTMUND GM EDLW 51.518 7.612 129.5 19310101 20200624 104180 99999 LUEDENSCHEID GM 51.25 7.65 392.0 19940301 20081231 104183 99999 DORTMUND/WICKEDE & GM 19880105 19881027 104190 99999 LUDENSCHEID & GM 51.233000000000004 7.6 458.0 19270906 20030306 104203 99999 ARNSBERG MENDEN GM EDLA 51.483000000000004 7.899 242.0 20181211 20181211 104230 99999 19390901 19421231 104240 99999 WERL GM 51.583 7.882999999999999 85.0 19390801 20081231 104260 99999 PADERBORN LIPPSTADT GM EDLP 51.614 8.616 213.1 19381104 20200624 104264 99999 SOEST (UK-ARMY) GM 51.583 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19411201 104420 99999 ALFELF GM 51.967 9.8 66.0 19371001 20080111 104440 99999 GOETTINGEN GM 51.55 9.95 176.0 19420101 20030816 104480 99999 KALTENEBER GQ 51.333 10.167 445.9 19370109 19560731 104490 99999 LEINEFELDE (AUT) GM 51.4 10.317 356.0 19270510 20030816 104500 99999 19370201 19420630 104510 99999 19390201 19431231 104520 99999 BRAUNLAGE GM 51.733000000000004 10.6 607.0 19730101 20030816 104530 99999 BROCKEN (PEAK) GM 51.8 10.617 1153.0 19260801 20030816 104540 99999 WERNIGERODE (AUT) GM 51.85 10.767000000000001 240.0 19520101 20030816 104550 99999 SCHIERKE (AUT) GM 51.766999999999996 10.667 617.0 19911230 20020306 104560 99999 19341205 19431231 104570 99999 19300909 19411231 104580 99999 HARZGERODE GM 51.65 11.133 405.0 19911101 20030816 104600 99999 ARTERN GM 51.383 11.3 166.0 19730101 20030816 104660 99999 HALLE-KROELLWITZ GM 51.516999999999996 11.95 93.0 19360401 20030816 104680 99999 OPPIN GM 51.55 12.067 106.0 19310102 19431231 104690 99999 LEIPZIG HALLE GM EDDP 51.424 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20030816 105445 99999 MELLENDORF GM EDEX 50.533 9.633 305.0 19730102 19881027 105460 99999 KALTENNORDHEIM(AUT) GM 50.633 10.15 494.0 19520101 19921231 105480 99999 MEININGEN GM 50.567 10.383 453.0 19280305 20030816 105490 99999 GROSSER INSELSBERG GQ 50.85 10.467 920.2 19280702 19750630 105500 99999 19341001 19431231 105510 99999 SUHL GM 50.617 10.667 505.0 19911028 19951213 105520 99999 SCHMUECKE (RIDGE) GM 50.65 10.767000000000001 942.0 19911101 20030816 105536 99999 ALTENBURG NOBITZ GM EDAC 50.982 12.505999999999998 195.1 19960321 20200624 105540 99999 ERFURT GM EDDE 50.98 10.958 315.8 19310101 20200624 105550 99999 WEIMAR GM 50.983000000000004 11.317 268.0 19370106 20041231 105560 99999 19390103 19430131 105570 99999 NEUHAUS GM 50.5 11.133 850.0 19911101 20030816 105580 99999 SONNEBERG/NEUFANG GM 50.383 11.183 630.0 19370401 20030816 105590 99999 19370403 19411231 105600 99999 19390903 19420630 105610 99999 19310903 19390331 105620 99999 19360701 19420630 105640 99999 SCHLEIZ (AUT) GM 50.567 11.817 502.0 19410216 20030815 105650 99999 OSTERFELD (AUT) GM 51.083 11.933 263.0 19911101 20030816 105670 99999 GERA/LEUMNITZ GM 50.883 12.133 312.0 19520101 20030816 105690 99999 PLAUEN (AUT) GM 50.483000000000004 12.133 389.0 19310101 20030816 105730 99999 19390102 19420630 105740 99999 CARLSFELD GM 50.433 12.617 899.0 19911101 20030816 105750 99999 AUE GM 50.6 12.717 397.0 19911101 20030816 105760 99999 19300915 19431231 105770 99999 CHEMNITZ GM 50.8 12.867 420.0 19310101 20030816 105780 99999 FICHTELBERG MTN GM 50.433 12.95 1215.0 19310101 20030816 105790 99999 MARIENBERG GM 50.65 13.15 640.0 19300415 20030816 105820 99999 ZINNWALD/GEORGENFE GM 50.733000000000004 13.75 882.0 19911008 20030816 105910 99999 LICHTENHAIN-MITTELD GM 50.933 14.217 300.0 19911101 20030816 105970 99999 BOGUS GERMAN GM 19920224 19920727 106070 99999 SPANGDAHLEM AB GM ETAD 49.973 6.693 364.8 19530518 20200624 106074 99999 BITBURG GM EDRB 49.945 6.565 372.8 19970826 19980709 106090 99999 TRIER/PETRISBERG GM 49.75 6.667000000000001 265.0 19310102 20030816 106100 99999 BITBURG(US ARMY) GM 49.95 6.567 374.0 19520401 20010822 106130 99999 BUCHEL GM ETSB 50.174 7.063 477.9 19730101 20200624 106140 99999 RAMSTEIN AB GM ETAR 49.437 7.6 238.1 19520301 20200624 106145 99999 PIRMASEN (USA-HP) GM 49.217 7.617000000000001 415.0 19730102 19881027 106150 99999 DEUSELBACH GM 49.766999999999996 7.05 479.0 19730101 20030816 106156 99999 BIRKENFELD GM 49.65 7.183 547.0 19840716 19930716 106160 99999 FRANKFURT HAHN GM EDFH 49.949 7.263999999999999 502.6 19530722 20200624 106161 99999 MAGDEBURG GM EDBM 52.074 11.626 81.7 20040510 20070105 106162 99999 SIEGERLAND GM EDGS 50.708 8.083 599.2 20040510 20200624 106163 99999 ZWEIBRUCKEN GM EDRZ 49.21 7.401 345.3 20040510 20141128 106164 99999 COCHSTEDT GM EDBC 51.855 11.419 180.0 20100716 20170724 106170 99999 TRABEN-TRARBACH GM 49.967 7.117000000000001 257.0 19850601 19920625 106180 99999 IDAR-OBERSTEIN(MIL) GM ETGI 49.7 7.332999999999999 377.0 19730102 20171020 106190 99999 BAUMHOLDER AAF GM ETEK 49.65 7.3 553.0 19650201 20200622 106260 99999 PFERDSFELD (GER-AF) GM ETSP 49.85 7.6 396.0 19730101 20010421 106265 99999 BAD KREUZNACH AAF & GM 49.85 7.882999999999999 103.0 19730102 19881027 106270 99999 BAD KREUZNACH AAF GM ETEH 49.85 7.882999999999999 103.0 19591104 20010223 106280 99999 GEISENHEIM GM 49.983000000000004 7.95 123.0 19830503 20081231 106290 99999 OFFENTHAL (RADAR) GM 49.983000000000004 8.717 198.0 19380601 19411231 106320 99999 FINTHEN (USA-AF) GM EDOT 49.967 8.15 232.0 19420101 19921009 106325 99999 EGELSBACH GM EDFE 49.961000000000006 8.642000000000001 117.3 20070807 20170403 106330 99999 WIESBADEN AAF GM ETOU 50.05 8.325 140.5 19380106 20200624 106334 99999 MEBSTETTEN / ALBSTADT GM ETCE 50.117 9.117 475.0 19801015 19950104 106335 99999 FINTHEN (USA-AF) & GM 49.967 8.15 232.0 19730102 19881027 106350 99999 KLEINER FELDBERG GM 50.217 8.45 805.0 19260501 20030816 106370 99999 FRANKFURT MAIN GM EDDF 50.026 8.543 110.9 19260101 20200624 106380 99999 MAURICE ROSE(USAHP) GM 50.183 8.65 104.0 19920601 20030516 106390 99999 LANGEN GM 50.016999999999996 8.667 135.0 19490101 19971005 106400 99999 OFFENBACH-M GM 50.1 8.732999999999999 112.0 19730101 20010517 106405 99999 MAURICE ROSE(USAHP) GM EDEN 50.183 8.667 104.0 19650501 19860330 106410 99999 OFFENBACH WETTERPAR GM 50.083 8.783 119.0 19410401 19431231 106420 99999 HANAU AAF GM ETID 50.169 8.962 112.2 19381104 20060428 106430 99999 BABENHAUSEN GM EDEF 49.95 8.967 131.0 19850509 19860330 106450 99999 BREITSOL (AUT) GM 49.9 9.433 585.0 19880105 20030816 106460 99999 NEUHUTTEN-SPESSART GM 50.016999999999996 9.417 339.0 19410101 19410731 106480 99999 MICHELSTADT/VIELBRU GM 49.717 9.1 405.0 19871002 20030816 106530 99999 GIEBELSTADT AAF GM ETEU 49.648 9.966000000000001 298.7 19360102 20060831 106550 99999 WURZBURG (USA-AF) GM 49.766999999999996 9.967 259.0 19310103 20030816 106570 99999 WERTHEIM (USA-HP) GM 49.75 9.5 338.0 19380202 19990401 106580 99999 BAD KISSINGEN GM 50.2 10.083 224.0 19460202 20030816 106585 99999 SCHWEINFURT AHP GM ETOA 50.047 10.171 239.9 20030423 20051104 106590 99999 KITZINGEN(US ARMY) GM 49.75 10.2 210.0 19340801 20011119 106595 99999 VILSECK AAF GM ETOI 49.63399999999999 11.767000000000001 412.4 19810102 20130325 106596 99999 HEIDELBERG AHP GM ETIE 49.383 8.65 109.0 20080101 20081231 106597 99999 LANDSTUHL AHP GM ETIP 49.403 7.5360000000000005 355.7 20060831 20151215 106600 99999 19380103 19431231 106690 99999 KITZINGEN AAF GM ETIN 49.743 10.201 210.0 19990424 20020117 106700 99999 19490101 19541231 106710 99999 COBURG GM 50.283 10.982999999999999 337.0 19730101 20030816 106750 99999 BAMBERG (USA-AF) GM 49.883 10.917 242.0 19730101 20030816 106755 99999 BAMBERG (USA-AF) GM EDEJ 49.917 10.917 242.0 19461101 19820716 106770 99999 BAYREUTH GM EDQD 49.983999999999995 11.639000000000001 488.0 19310102 20070701 106780 99999 GRADFFENWOHR GM 49.7 11.933 415.0 19410501 19431231 106810 99999 19490101 19541231 106840 99999 HOF GM 50.283 11.85 588.0 20040610 20040907 106850 99999 HOF PLAUEN GM EDQM 50.288999999999994 11.855 597.4 19310101 20200624 106870 99999 GRAFENWOHR AAF GM ETIC 49.699 11.94 415.4 19390901 20200624 106874 99999 HERZO BASE (USA-HP) GM 49.583 10.917 329.0 19370401 19431231 106875 99999 ERLANGEN (USA-AF) GM 49.583 11.033 282.0 19470630 19731121 106880 99999 WEIDEN (MIL/MET) GM 49.667 12.183 438.0 19310102 20030816 107000 99999 19741029 19741029 107020 99999 KARLSRUHE/BADEN-B GM 48.783 8.083 124.0 19860107 20010918 107040 99999 BERUS GM 49.283 6.683 363.0 19730101 20030816 107050 99999 19730101 19750513 107060 99999 THOLEY GM 49.483000000000004 7.05 398.0 19750618 20030816 107070 99999 19410701 19431231 107080 99999 SAARBRUCKEN GM EDDR 49.215 7.11 322.5 19350701 20200624 107090 99999 SAARBRUECKEN GM 49.25 6.933 213.0 19311104 20041123 107100 99999 19380901 19411231 107110 99999 19400719 19411231 107120 99999 SEMBACH (USAFB) GM ETAS 49.5 7.867000000000001 321.0 19530708 20100216 107140 99999 ZWEIBRUECKEN GM 49.217 7.4 353.0 19541001 20030329 107170 99999 PIRMASENS (USA-HP) GM 49.217 7.617000000000001 415.0 19881027 20021228 107220 99999 KARLSRUHE/BADEN-BAD GM 48.783 8.083 135.0 19550702 19930526 107230 99999 NEUSTADT/WEINSTR. GM 49.367 8.133 163.0 19730101 19840724 107240 99999 WEINBIET (AUT) GM 49.383 8.117 553.0 19730101 20030816 107250 99999 BADEN-OOS GM 48.8 8.183 126.0 19770803 20020311 107260 99999 19360107 19431231 107270 99999 KARLSRUHE (USA-AF) GM 49.033 8.367 114.0 19290801 20030816 107275 99999 KARLSRUHE BADEN BADEN GM EDSB 48.778999999999996 8.081 124.4 19970723 20200624 107280 99999 COLEMAN AAF / COLEMAN BARRACKS GERMANY GM ETOR 49.56399999999999 8.463 94.2 19310101 20130114 107290 99999 MANNHEIM CITY GM EDFM 49.473 8.514 94.2 19470729 20200624 107295 99999 COLEMAN (USA-AF) & GM 49.567 8.467 94.0 19730102 19881027 107320 99999 19390711 19411231 107330 99999 WAIBSTADT GM 49.3 8.9 237.0 20011008 20040124 107340 99999 HEIDELBERG AAF GM 49.4 8.65 109.0 19461118 20041011 107345 99999 HEIDELBERG AHP GM ETIE 49.393 8.652000000000001 109.1 20060424 20130614 107350 99999 SINSHEIM (AUT) GM 49.25 8.883 169.0 19870904 20030816 107360 99999 MUEHLACKER (AUT) GM 48.967 8.867 244.0 19790314 20030816 107370 99999 STUTTGART GM 48.766999999999996 9.183 305.0 19360701 20030425 107380 99999 STUTTGART GM EDDS 48.69 9.222000000000001 388.9 19390902 20200624 107390 99999 STUTTGART/SCHNARREN GM 48.833 9.2 315.0 19840807 20030816 107420 99999 OEHRINGEN GM 49.217 9.517000000000001 276.0 19490101 20030816 107430 99999 NIEDERSTETTEN GM ETHN 49.391999999999996 9.958 468.2 19730102 20200624 107450 99999 SCHWABISCH HALL GM EDTY 49.118 9.783999999999999 399.6 19360102 20200624 107460 99999 19311123 19431231 107520 99999 ILLESHEIM AHP GM ETIK 49.474 10.388 328.6 19390901 20200624 107550 99999 ANSBACH AHP / KATTERBACH GERMANY GM ETEB 49.308 10.639000000000001 467.0 19390101 20200624 107552 99999 19730102 19761022 107610 99999 WEISSENBURG GM 49.016999999999996 10.967 422.0 19310102 20030816 107620 99999 FURTH (USA-HP) GM 49.5 10.967 302.0 19310501 20030719 107630 99999 NURNBERG GM EDDN 49.498999999999995 11.078 318.8 19310101 20200624 107635 99999 FURTH (USA-HP) GM EDEW 49.5 10.967 302.0 19460301 19710704 107640 99999 FEUCHT(USA\AF) GM 49.383 11.167 386.0 19680117 20030729 107650 99999 ROTH GM ETHR 49.218 11.1 386.5 19390901 20131205 107655 99999 FEUCHT AAF GM EDIG 49.383 11.167 386.0 19730101 19790108 107710 99999 KUEMMERSBRUCK GM ETGK 49.433 11.9 418.0 19730102 20140925 107715 99999 HOHENFELS (USA-AF)& GM 49.217 11.833 442.0 19730102 19881027 107750 99999 HOHENFELS AAF GM ETIH 49.218 11.835999999999999 443.5 19610918 20200624 107760 99999 REGENSBURG/OBERHUB GM 49.05 12.1 376.0 19310102 20030816 107770 99999 GELBELSEE GM 48.95 11.433 539.0 19870906 20030816 107780 99999 19411001 19431231 107880 99999 STRAUBING GM 48.833 12.567 360.0 19390902 20081231 107910 99999 GROSSER ARBER (MTN) GM 49.117 13.133 1307.0 19490101 20030816 107960 99999 ZWIESEL (AUT) GM 49.033 13.232999999999999 581.0 19760403 20030816 108030 99999 FREIBURG (CIV/FAFB) GM 48.0 7.85 269.0 19310106 20030816 108040 99999 19300730 19411231 108050 99999 LAHR GM EDTL 48.369 7.827999999999999 155.8 19730101 20200624 108051 99999 BADEN OOS GM EDTB 48.791000000000004 8.187000000000001 123.4 20171201 20180522 108055 99999 19740604 19740812 108060 99999 19290521 19411231 108100 99999 19290522 19411231 108150 99999 FREUDENSTADT GM 48.45 8.417 797.0 19730101 20030816 108180 99999 KLIPPENECK (CLIFF) GM 48.1 8.75 973.0 19300903 20030816 108260 99999 TUBINGEN GM 48.516999999999996 9.05 370.0 19730101 19790809 108270 99999 MESSSTETTEN GM ETGZ 48.183 9.0 920.0 19740820 20130930 108280 99999 SIGMARINGEN GM 48.1 9.25 646.0 19950201 20080725 108320 99999 TUERKHEIM GM 48.583 9.783 731.0 20040818 20040818 108330 99999 19360603 19400616 108340 99999 RIEDLINGEN (AUT) GM 48.167 9.5 526.0 19880105 19921231 108350 99999 GOPPINGEN(US ARMY) GM 48.717 9.7 382.0 19730102 19750214 108354 99999 GOPPINGEN (USA-AF) GM 48.717 9.7 382.0 19370104 19900201 108360 99999 STOETTEN GM 48.667 9.867 734.0 19490101 20030816 108365 99999 19750905 19760325 108370 99999 LAUPHEIM GM ETHL 48.22 9.91 538.3 19730102 20200624 108380 99999 ULM (MIL/MET) GM 48.383 9.95 522.0 19490101 20030816 108390 99999 ULM/WILHELMSBURG & GM 48.4 9.982999999999999 596.0 19410116 19430430 108400 99999 19391001 19431231 108410 99999 19410301 19431231 108450 99999 LEIPHEIM(GAFB) GM 48.433 10.232999999999999 489.0 19370802 19940331 108460 99999 19320504 19431231 108500 99999 HARBURG (AUT) GM 48.783 10.7 457.0 19750822 20030816 108520 99999 AUGSBURG GM EDMA 48.425 10.932 461.8 19371101 20200624 108522 99999 AUGSBURG/MULHAUSEN GM 48.433 10.933 461.0 19850205 19900108 108523 99999 AUGSBURG/MULHAUSEN GM 48.433 10.933 461.0 19900111 19901029 108530 99999 NEUBURG GM ETSN 48.711000000000006 11.212 380.7 19380804 20200624 108560 99999 LECHFELD GM ETSL 48.18600000000001 10.860999999999999 555.3 19281114 20200624 108570 99999 LANDSBERG LECH GM ETSA 48.071000000000005 10.905999999999999 623.0 19380103 20180710 108580 99999 FURSTENFELDBRUCK GM ETSF 48.206 11.267000000000001 519.1 19380401 20030814 108590 99999 OBERPFAFFENHOFEN GM 48.083 11.283 600.0 19400902 19431231 108600 99999 INGOLSTADT MANCHING GM ETSI 48.716 11.534 366.4 19391101 20200624 108605 99999 SIEGENBERG G.R.(MIL GM 48.75 11.8 404.0 19730108 19830322 108620 99999 SIEGENBURG(MIL/MET) GM 48.75 11.8 404.0 19830405 20031015 108630 99999 WEIHENSTEPHAN-DURNA GM 48.4 11.7 470.0 19890319 20081231 108640 99999 NEUBIBERG (GER-AFB) GM 48.067 11.633 560.0 19370401 20010409 108644 99999 OBERPFAFFENHOFEN GM EDMO 48.081 11.283 593.4 19920831 20200624 108645 99999 MUNICH/PERLACHER GM EDEM 48.083 11.6 567.0 19731108 19860725 108646 99999 BAYREUTH/BINDLACHER GM 49.983000000000004 11.633 488.0 19771108 19881026 108650 99999 MUNICH GM 48.133 11.55 520.0 19260101 20030816 108660 99999 MUNCHEN GM EDDM 48.354 11.786 453.2 19290801 20200624 108670 99999 OBERSCHLEISSHEIM GM EDPO 48.233000000000004 11.55 486.0 19730102 19810630 108680 99999 MUENCHEN-OBERSCHLEI GM 48.244 11.552999999999999 489.0 19350101 19431231 108690 99999 ERDING GM ETSE 48.321999999999996 11.949000000000002 461.8 19370901 20150130 108700 99999 MUNICH ARPT GM 48.35 11.783 448.0 19920416 20030816 108710 99999 FUERHOLZEN GM 48.333 11.617 510.0 19940327 19990509 108750 99999 MUHLDORF GM 48.283 12.5 401.0 19730101 20030816 108760 99999 19380401 19441231 108930 99999 PASSAU GM 48.583 13.467 409.0 19490101 19921231 108940 99999 19391005 19431231 108950 99999 FUERSTENZELL GM 48.55 13.35 480.0 19980301 20081231 109000 99999 BREMGARTEN(GAFB) GM 47.9 7.617000000000001 217.0 19730101 20020131 109080 99999 FELDBERG/SCHWARZWAL GM 47.883 8.0 1486.0 19310106 20030816 109120 99999 DONAUESCHINGEN VILLINGEN GM EDTD 47.973 8.522 680.0 20040406 20191118 109210 99999 NEUHAUSEN OB ECK GM 47.983000000000004 8.9 804.0 19730102 19950228 109290 99999 KONSTANZ GM EDTZ 47.683 9.183 447.0 19360102 20030816 109340 99999 FRIEDRICHSHAFEN GM 47.65 9.482999999999999 401.0 19590801 19780126 109350 99999 FRIEDRICHSHAFEN GM EDNY 47.67100000000001 9.511000000000001 416.7 19290801 20200624 109353 99999 FRIEDRICHSHAFEN GM 47.667 9.517000000000001 424.0 19880105 19881011 109360 99999 19340102 19420630 109460 99999 KEMPTEN/DURACH GM 47.717 10.333 705.0 19410114 20030816 109470 99999 ALLGAU GM EDJA 47.989 10.24 629.1 19370401 20200624 109480 99999 OBERSTDORF GM 47.4 10.283 810.0 19730101 20030628 109530 99999 KAUFBEUREN(GAFB) GM 47.867 10.617 721.0 19360102 20030227 109540 99999 ALTENSTADT GM ETHA 47.833 10.867 760.0 19321122 20200624 109543 99999 ALTENSTADT (GAM) & GM EDPL 47.833 10.867 739.0 19881027 19901029 109610 99999 ZUGSPITZE MOUNTAIN GM 47.417 10.982999999999999 2960.0 19310101 20030816 109620 99999 HOHENPEISSENBERG GM 47.8 11.017000000000001 977.0 19370402 20030816 109630 99999 GARMISCH (USA-HP) GM 47.483000000000004 11.067 719.0 19490101 20030816 109650 99999 MITTENWALD GM 47.417 11.267000000000001 1035.0 19300602 19401231 109710 99999 BAD TOLZ (USA-AF) GM 47.766999999999996 11.6 716.0 19730102 19990321 109711 99999 BAD TOLZ (USA-AF) & GM EDOV 47.766999999999996 11.6 716.0 19640916 19861114 109720 99999 19310515 19431231 109800 99999 WENDELSTEIN MTN GM 47.7 12.017000000000001 1832.0 19730101 20030816 109820 99999 CHIEMING (AUT) GM 47.883 12.533 549.0 19420101 20030816 109970 99999 19730101 19751219 109973 99999 ALTENSTADT (GAM) & GM 47.833 10.867 739.0 19870119 19881027 109999 99999 19730101 19730531 110010 99999 WOLFSEGG AU 48.1 13.667 615.6 19730715 20200624 110030 99999 RIED IM INNKREIS AU 48.217 13.482999999999999 443.0 19520103 20050409 110050 99999 SCHAERDING/SUBEN AU 48.4 13.433 330.0 20010807 20010807 110080 99999 ROHRBACH AU 48.567 14.0 602.0 19761101 20200624 110090 99999 WELS/FLUGFELD AU 48.183 14.033 318.0 19340502 20050814 110100 99999 LINZ AU LOWL 48.233000000000004 14.187999999999999 298.1 19341001 20200624 110110 99999 HORSCHING (AUS-AFB) AU LOXL 48.233000000000004 14.183 313.0 19391204 20030929 110120 99999 KREMSMUENSTER AU 48.05 14.133 389.0 19730802 20200624 110130 99999 STADT HAAG/HEIMBERG AU 48.117 14.617 408.0 20030120 20040827 110140 99999 KOENIGSWIESEN AU 48.4 14.833 608.0 19730706 20041212 110150 99999 FREISTADT AU 48.5 14.5 548.0 19730623 20140804 110160 99999 FREISTADT-FLUGFELD AU 48.516999999999996 14.417 682.0 20010807 20031001 110161 99999 WIENER NEUSTADT EAST AU LOAN 47.843 16.26 273.1 20040510 20200624 110162 99999 LUGPLATZ VOSLAU AU LOAV 47.967 16.267 233.0 20040510 20200624 110163 99999 PUNITZ / GUESSING AU LOGG 47.15 16.317 290.0 20040519 20130620 110164 99999 OBEROSTERREICH / FREISTADT AU LOLF 48.516999999999996 14.417 685.0 20040510 20080208 110165 99999 WIENER NEUSTADT AU LOXN 47.85 16.25 272.0 20040510 20200624 110170 99999 FREISTADT AU 48.516999999999996 14.5 563.0 20031008 20050910 110180 99999 AMSTETTEN AU 48.1 14.9 271.0 19650526 20200624 110190 99999 ALLENTSTEIG AU 48.683 15.367 607.0 19940601 20200624 110200 99999 STIFT ZWETTL AU 48.617 15.2 506.0 19791002 20200624 110210 99999 LITSCHAU AU 48.95 15.033 556.7 19761021 20200624 110220 99999 RETZ AU 48.766999999999996 15.95 323.0 19650526 20200624 110230 99999 GARS AM KAMP AU 48.583 15.667 267.0 20140521 20160518 110240 99999 JAUERLING AU 48.333 15.333 959.0 19730623 20200624 110250 99999 WEITRA AU 48.7 14.883 471.0 20140521 20200624 110260 99999 KREMS/LANGENLOIS GNEIXENDORF AU 48.45 15.633 312.0 20041211 20050315 110270 99999 STOCKERAU AU 48.4 16.2 205.1 19330102 20200624 110280 99999 ST. 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MICHAEL/LEOBEN AU 47.333 15.0 572.0 19850904 20081231 111750 99999 BRUCK/MUR AU 47.417 15.267000000000001 482.0 19661006 20200624 111760 99999 KAPFENBERG-FLUGFELD AU 47.467 15.333 527.0 20181107 20200624 111770 99999 KUB AU 47.683 15.867 462.0 19330103 19380630 111800 99999 RAX/SEILBAHN-BERGSTATION AU 47.717 15.783 1554.0 19770114 20200624 111810 99999 VOESLAU-FLUGFELD AU 47.967 16.267 233.0 19390302 20021111 111820 99999 WIENER NEUSTADT AU 47.833 16.217 285.0 19340501 20200624 111830 99999 SEMMERING AU 47.633 15.817 960.0 19761101 20041108 111840 99999 STUHLECK MOUNTAIN AU 47.567 15.783 1782.0 19790701 19800226 111850 99999 MOENICHKIRCHEN AU 47.516999999999996 16.033 994.0 19650526 20200624 111860 99999 MOENICHKIRCHEN/OST AU 47.516999999999996 16.05 940.0 19890703 19891118 111890 99999 BAD TATZMANNSDORF AU 47.333 16.233 360.0 19761202 19791220 111900 99999 EISENSTADT AU 47.85 16.533 189.3 19730627 20200624 111910 99999 TRAUSDORF AIRPORT AU LOAT 47.8 16.567 164.0 20010824 20021222 111920 99999 KLEINZICKEN AU 47.2 16.333 267.0 19780502 20200624 111930 99999 BAD TATZMANNSDORF AU 47.333 16.217 340.0 20060726 20200420 111940 99999 NEUSIEDL AM SEE AU 47.95 16.85 132.0 19850102 20081231 111950 99999 PUNITZ/GUESSING FLUGFELD AU 47.15 16.317 290.0 19810603 20050924 112010 99999 SILLIAN AU 46.75 12.417 1081.0 20080310 20200624 112020 99999 FELBERTAUERN/SUEDPORTAL AU 47.117 12.5 1632.0 19810626 20040124 112030 99999 ISELSBERG AU 46.85 12.867 1208.0 20040704 20050104 112040 99999 LIENZ AU 46.833 12.817 666.0 19380401 20200624 112050 99999 LAVANT AU 46.8 12.85 660.0 20040719 20050531 112070 99999 REISACH AU 46.65 13.15 646.0 19730724 20071231 112100 99999 MALLNITZ AU 46.983000000000004 13.183 1185.0 19761101 20050706 112110 99999 RADENTHEIN AU 46.783 13.7 685.0 19751230 20030731 112120 99999 VILLACHERALPE AU 46.6 13.667 2160.0 19650526 20190105 112130 99999 VILLACH AU 46.617 13.883 494.0 19761102 20200624 112140 99999 PREITENEGG AU 46.933 14.917 1035.0 19650526 20200624 112150 99999 MILLSTATT AU 46.808 13.573 719.0 19381214 19440630 112190 99999 NEUMARKTER SATTEL AU 47.117 14.4 1125.0 19870301 20031212 112200 99999 NEUMARKT AU 47.067 14.417 870.0 19761101 20200624 112250 99999 WEITENSFELD AU 46.85 14.183 712.4 19761102 20200624 112270 99999 FELDKIRCHEN AU 46.717 14.1 551.0 20080310 20200624 112280 99999 FRIESACH AU 46.967 14.4 641.3 20141230 20180223 112290 99999 ST. ANDRAE I.L. 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WOLFGANG AU 47.733000000000004 13.45 537.0 19900601 20200624 113580 99999 BAD MITTERNDORF AU 47.55 13.933 803.0 19950102 20200624 113590 99999 GROEBMING AU 47.433 13.9 765.0 20140521 20200624 113600 99999 IRDNING/GUMPENSTEIN AU 47.5 14.1 707.0 19900601 20030731 113620 99999 KALWANG AU 47.417 14.767000000000001 744.0 20040512 20200624 113650 99999 ZELTWEG/AUTOM. STAT. 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POLISH PL 19870202 19880323 126950 99999 PRZEMYSL PL 49.8 22.767 280.0 19340330 20200624 126980 99999 BOGUS POLISH PL 19870408 19920718 127560 99999 SZECSENY HU 48.117 19.517 153.0 20010705 20200624 127660 99999 JOSVAFO HU 48.483000000000004 20.533 305.0 20010705 20200624 127720 99999 MISKOLC HU LHMC 48.083 20.767 236.0 19520101 20200624 127860 99999 ZAHONY HU 48.4 22.166999999999998 104.0 20010705 20200624 128050 99999 SOPRON HU 47.683 16.6 239.0 19360601 20200624 128120 99999 SZOMBATHELY ARPT / VAS HU LHSY 47.283 16.633 223.1 19360105 20200624 128150 99999 MOSONMAGYAROVAR HU 47.883 17.283 122.0 19961201 20200624 128220 99999 GYOR HU LHPR 47.717 17.683 129.0 19730101 20200624 128250 99999 PAPA HU LHPA 47.364 17.500999999999998 152.0 19730101 20200624 128300 99999 VESZPREM/SZENTKIRALYSZABADJA HU 47.067 17.833 281.0 19880210 20200624 128305 99999 TOKOL HU LHTL 47.346000000000004 18.980999999999998 104.0 19951213 20010427 128310 99999 DOBOGOKO (MOUNT) HU 47.7 18.883 676.0 19340901 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128660 99999 POROSZLO HU 47.65 20.633000000000003 92.0 20010705 20200624 128700 99999 EGER HU 47.9 20.383 218.0 19360102 20200624 128820 99999 DEBRECEN HU LHDC 47.489 21.615 110.0 19310104 20200624 128920 99999 NYIREGYHAZA HU LHNY 47.983999999999995 21.691999999999997 103.0 19730101 20200624 129100 99999 SZENTGOTTHARD/FARKASFA HU 46.917 16.317 313.0 19740812 20200624 129150 99999 ZALAEGERSZEG/ANDRASHIDA HU 46.867 16.8 180.0 19770909 20200624 129200 99999 KESZTHELY HU 46.736000000000004 17.239 110.7 19360101 20200624 129220 99999 SARMELLEK HU 46.683 17.167 125.0 20010919 20200624 129250 99999 NAGYKANIZSA HU 46.45 16.967 141.0 19730101 20200624 129255 99999 TASZAR HU LHTA 46.4 17.917 160.0 19951213 19971029 129300 99999 KAPOSVAR HU LHKV 46.383 17.833 145.0 19361001 20200624 129320 99999 TASZAR HU LHTA 46.393 17.917 164.0 19970201 20051001 129350 99999 SIOFOK HU LHSK 46.917 18.05 109.0 19730101 20200624 129400 99999 PECS HU 46.067 18.233 201.8 19520101 19561231 129410 99999 PECS/ARPADTETO HU 46.133 18.25 440.0 19311001 20011007 129420 99999 PECS SOUTH HU LHPP 45.99100000000001 18.241 304.8 19360501 20200624 129500 99999 PAKS HU 46.583 18.85 98.0 19801009 20200624 129600 99999 BAJA HU 46.183 19.017 113.0 19730101 20200624 129700 99999 KECSKEMET HU LHKE 46.918 19.749000000000002 114.6 19730101 20200624 129820 99999 SZEGED (AUT) HU LHUD 46.25 20.1 83.0 19360101 20200624 129900 99999 19730612 19730619 129920 99999 BEKESCSABA HU LHBC 46.683 21.166999999999998 90.0 19361201 20200624 130050 99999 BOVEC SI 46.333 13.567 452.0 19920301 20040916 130060 99999 VOGEL SI 46.266999999999996 13.833 1535.0 19920301 19960101 130070 99999 RATECE/PLANICA SI 46.5 13.717 865.0 19920302 20001113 130080 99999 KREDARICA SI 46.383 13.85 2514.0 19730105 19960405 130090 99999 ATLAS BUOY / LAMBADA SI 13009 8.0 -38.0 3.0 19930101 19960118 130100 99999 ATLAS BUOY 13010 / SOUL 0.0 0.0 3.0 19930105 20180425 130120 99999 KATARINA SI 46.1 14.367 685.0 19920301 19960101 130140 99999 LJUBLJANA/BRNIK SI 46.217 14.482999999999999 385.0 19730101 20041231 130145 99999 CERKLJE SI LJCE 45.9 15.53 155.4 20051006 20200624 130150 99999 LJUBLJANA/BEZIGRAD SI 46.067 14.517000000000001 299.0 19360701 19960130 130180 99999 LJUBLJANA /BRNIK SI 46.233000000000004 14.482999999999999 388.9 19520102 19621231 130200 99999 ROGLA SI 46.45 15.333 1480.0 19920301 20011201 130210 99999 SMARTNO SI 46.483000000000004 15.117 452.0 19730105 19960109 130230 99999 CELJE SI 46.25 15.25 244.0 19910708 20041210 130240 99999 LISCA SI 46.067 15.283 941.0 19861201 20000713 130250 99999 MARIBOU-MESTO SI 46.533 14.867 157.0 19920301 19951231 130260 99999 MARIBOR SI 46.483000000000004 15.683 265.0 19730101 20040924 130310 99999 MURSKA SOBOTA SI 46.65 16.183 188.0 19910708 20020613 130330 99999 VARAZDIN HR 46.3 16.383 167.0 19730102 20030607 130670 99999 PALIC RI 46.1 19.767 105.0 19730101 20200624 130680 99999 BOGUS YUGOSLAVIAN SI 19880602 19890513 131050 99999 PORTOROZ/SECOVLJE SI 45.483000000000004 13.617 3.0 19740602 20070307 131060 99999 NOVA GORICA SI 45.95 13.65 102.0 19830210 19960208 131070 99999 19730101 19740817 131090 99999 PAZIN HR 45.233000000000004 13.967 293.0 19800712 19900313 131110 99999 IL SISTRICA SI 45.567 14.25 413.0 19920302 19960203 131120 99999 POSTOJNA SI 45.766999999999996 14.2 533.0 19920302 19960101 131130 99999 BOGUS YUGOSLAVIAN SI 19910701 19920903 131160 99999 RIJEKA HR LYRI 45.217 14.57 84.7 19730101 20200624 131180 99999 KOCEVJE SI 45.9 14.867 56.0 19920301 20020613 131200 99999 CRNOMELJ SI 45.567 15.15 157.0 19920301 19960501 131210 99999 NOVO MESTO SI 45.783 15.183 213.0 19730105 19960413 131220 99999 OGULIN & HR 45.266999999999996 15.232999999999999 328.0 19730102 19951231 131280 99999 PUNTIJARKA (MOUNT) HR 45.9 15.967 988.0 19520101 19951231 131290 99999 ZAGREB/GRIC HR 45.817 15.982999999999999 163.0 19940613 19951231 131300 99999 ZAGREB/MAKSIMIR HR 45.817 16.033 123.0 19360101 19951231 131310 99999 ZAGREB/PLESO HR 45.733000000000004 16.067 106.0 19730101 19960507 131420 99999 DARUVAR HR 45.6 17.233 161.0 19730102 19951231 131430 99999 BOGUS YUGOSLAVIAN EG 28.866999999999997 31.333000000000002 103.6 19910701 19920802 131500 99999 SLAVONSKI BROD HR 45.167 18.0 88.0 19360901 19970116 131510 99999 BOGUS YUGOSLAVIAN SI 19910701 19920223 131560 99999 BOGUS YUGOSLAVIAN HR 45.533 18.733 92.0 19520101 19920812 131570 99999 OSIJEK HR LDOS 45.533 18.733 89.0 19730105 19941130 131590 99999 OSIJEK/SPA HR 45.533 18.633 92.0 19950401 19951218 131600 99999 SOMBOR RI 45.766999999999996 19.15 89.0 19820101 20200624 131680 99999 NOVI SAD RIMSKI SANCEVI RI 45.333 19.85 87.0 19360801 20200624 131681 99999 PETROVARADIN RI 45.25 19.883 87.0 19730102 19841129 131730 99999 ZRENJANIN RI 45.367 20.417 82.0 19820101 20200624 131740 99999 KIKINDA RI 45.85 20.467 82.0 19730102 20200624 131800 99999 BANATSKI KARLOVAC RI 45.05 21.033 91.0 19910701 20200624 131825 99999 CAMP BONDSTEEL AHP KV 42.35 21.25 595.0 20080101 20081231 131830 99999 VRSAC RI LYVR 45.147 21.31 84.1 19730101 20200624 132080 99999 PULA HR 44.867 13.85 32.0 19520101 19621231 132090 99999 PULA HR 44.9 13.917 67.0 19730101 19960507 132140 99999 MALI LOSINJ HR 44.533 14.467 53.0 19730107 19960123 132160 99999 BARBAT NA RABU HR 44.75 14.8 342.0 19360702 19391231 132180 99999 SENJ & SI 44.983000000000004 14.9 26.0 19820101 19951231 132190 99999 ZAVIZAN MOUNTAIN HR 44.817 14.982999999999999 1597.0 19801022 20020112 132220 99999 ZADAR 44.117 15.232999999999999 4.0 19520101 19621231 132230 99999 GOSPIC HR 44.55 15.367 564.0 19820401 19951231 132240 99999 ZADAR/ZEMUNIK HR 44.083 15.35 82.0 19730101 19960101 132280 99999 BIHAC BK LQBI 44.817 15.883 250.0 19570115 20030714 132340 99999 DRVAR BK 44.383 16.4 485.0 19730102 19841115 132420 99999 BANJA LUKA BK LQBK 44.941 17.298 121.9 19360701 20200624 132440 99999 BUGOJNA BK 44.067 17.467 562.0 19730102 19960113 132490 99999 ZENICA SI 44.217 17.9 344.0 19890907 19950227 132570 99999 TUZLA BK 44.55 18.7 306.0 19730305 20081231 132600 99999 BANJA KOVILJACA RI 44.516999999999996 19.167 125.0 19360102 19391231 132610 99999 LOZNICA TUGOSLAVIA RI 44.55 19.233 121.9 19520101 19621231 132620 99999 LOZNICA RI 44.55 19.233 122.0 19730101 20200624 132660 99999 SREMSKA MITROVICA RI 45.1 19.55 83.0 19820401 20200624 132690 99999 VALJEVO RI 44.317 19.917 177.0 19730102 20200624 132720 99999 BEOGRAD RI LYBE 44.818000000000005 20.309 102.1 19450501 20200624 132725 99999 BEOGRAD/BATAJNICA RI LYBT 44.935 20.258 80.8 20080115 20200624 132740 99999 BEOGRAD RI 44.8 20.467 132.0 19520101 20200624 132750 99999 BEOGRAD/KOSUTNJAK RI 44.766999999999996 20.417 203.0 19310101 20020104 132780 99999 KRAGUJEVAC RI 44.033 20.933000000000003 185.0 20070228 20200624 132790 99999 SMEDEREVSKA PALANKA RI 44.367 20.95 122.0 19730102 20200624 132850 99999 VELIKO GRADISTE RI 44.75 21.517 84.0 19360701 20200624 132890 99999 CRNI VRH RI 44.117 21.95 1039.0 19730302 20200624 132950 99999 NEGOTIN RI 44.233000000000004 22.55 44.0 19730101 20200624 133220 99999 BOGUS YUGOSLAVIAN SI 19910701 20021207 133290 99999 SIBENIK HR 43.733000000000004 15.917 77.0 19730102 19960201 133300 99999 BOGUS YUGOSLAVIAN SI 19910701 20021124 133330 99999 SPLIT/KASTEL STAFIL HR 43.533 16.3 24.0 19610101 19960714 133340 99999 SPLIT/MARJAN HR 43.516999999999996 16.433 128.0 19310102 20041006 133350 99999 HVAR HR 43.167 16.45 20.0 19820101 19960101 133400 99999 LIVNO BK LQLV 43.833 17.017 724.0 19820101 19930224 133480 99999 MOSTAR BK LQMO 43.283 17.846 47.5 19360701 20200624 133490 99999 MOSTAR BK 43.333 17.817 107.9 19570111 19590731 133510 99999 SJELASNICA BK 43.717 18.267 2069.9 19570124 19590731 133520 99999 BJELASNICA MTN RNG BK 43.717 18.267 2067.0 19730302 19930203 133530 99999 SARAJEVO BK LQSA 43.825 18.331 520.6 19360102 20200624 133535 99999 SARAJEVO/BUTMIR BK LQSA 43.817 18.35 511.0 19941007 19950124 133540 99999 SARAJEVO & BK 43.867 18.433 637.0 19751004 19920914 133560 99999 CEMERNO (MOUNT) BK 43.233000000000004 18.6 1305.0 19730109 19841010 133610 99999 ZABLJAK MJ 43.15 19.133 1450.0 19820101 20081204 133630 99999 PLEVLJA MJ 43.35 19.35 788.0 19360102 20200624 133670 99999 ZLATIBOR RI 43.733000000000004 19.717 1029.0 19730101 20200624 133690 99999 SJENICA RI 43.283 20.0 1039.0 19820401 20200624 133700 99999 POZEGA UZICKA RI 43.833 20.033 312.0 19820101 20200624 133760 99999 KRALJEVO RI LYKV 43.7 20.7 217.0 19360102 20200624 133766 99999 UZICE-PONIKVE RI LYUZ 43.9 19.7 904.0 20071203 20200624 133770 99999 KRALJEVO RI 43.733000000000004 20.683000000000003 221.0 19520101 19621231 133780 99999 KOPAONIK RI 43.283 20.8 1713.0 19820401 20200624 133820 99999 KURSUMLIJA RI 43.133 21.267 383.0 19730105 20060314 133830 99999 KRUSEVAC RI 43.567 21.35 167.0 19820101 20200624 133840 99999 CUPRIJA RI 43.933 21.383000000000003 125.0 19730105 20200624 133880 99999 NIS RI LYNI 43.336999999999996 21.854 197.5 19360102 20200624 133890 99999 LESKOVAC RI 42.983000000000004 21.95 232.0 19730102 20200624 133970 99999 DIMITROVGRAD RI 43.016999999999996 22.75 450.0 19730105 20200624 134320 99999 PALAGRUZA SI 42.4 16.267 97.0 19910701 19960101 134380 99999 PALAGRUZA 42.4 16.267 82.0 19520101 19620614 134390 99999 LASTOVO ISLAND HR 42.766999999999996 16.9 187.0 19830301 19900515 134510 99999 DUBROVNIK GORICA HR 42.65 18.083 53.0 19590805 19951231 134520 99999 DUBROVNIK-CILIPI HR 42.567 18.267 161.0 19730101 20030106 134550 99999 HERCEG NOVI-IGALO MJ 42.45 18.55 10.0 19360102 20081204 134555 99999 19760422 19761221 134570 99999 TIVAT MJ LYTV 42.405 18.723 6.1 19761221 20200624 134590 99999 NIKSIC MJ 42.766999999999996 18.95 647.0 19751023 20200624 134610 99999 BAR MJ 42.1 19.1 6.0 19820101 20200624 134615 99999 OHRID-AERODROME MK LYOH 41.1 20.816999999999997 700.0 20050101 20200624 134620 99999 PODGORICA / GOLUBOVCI MJ LYTI 42.367 19.25 33.0 19520101 20200624 134624 99999 PODGORICA TITOGRAD MJ LYPG 42.433 19.283 53.0 19930408 20200624 134630 99999 PODGORICA-GRAD MJ 42.433 19.283 50.0 20010916 20200624 134640 99999 ULCINJ MJ 41.917 19.217 29.0 19970101 20081204 134650 99999 KOLASIN MJ 42.833 19.533 945.0 19730105 20081204 134720 99999 PEC RI 42.667 20.3 501.1 19520801 19621211 134730 99999 PEC KV 42.667 20.3 499.0 19730101 20070227 134740 99999 KOSOVSKA MITROVICA KV 42.833 20.833000000000002 521.0 19360102 19391231 134770 99999 PRIZREN KV 42.217 20.733 403.0 19730102 20140602 134810 99999 PRISTINA KV LYPR 42.573 21.035999999999998 545.3 19730101 20051024 134811 99999 PRISTINA KV BKPR 42.57 21.03 559.0 20040706 20200624 134830 99999 SXODJE MK 41.983000000000004 21.467 241.1 19520101 19621231 134890 99999 VRANJE RI 42.55 21.916999999999998 434.0 19791104 20200624 134900 99999 RESERVED FOR NAVY 0.0 0.0 0.0 19940116 20040112 134910 99999 SKOPJE MK 42.516999999999996 22.283 1176.0 19940107 19960219 134920 99999 POPOVA SAPKA MK 41.016999999999996 20.883000000000003 1750.0 20020914 20130228 134930 99999 KRIVA PALANKA MK 42.2 22.333000000000002 696.0 19730101 20200624 135620 99999 ULCINJ MJ 41.917 19.217 29.0 19520101 20021222 135710 99999 TETOVO MK 42.0 20.967 462.0 20130225 20200624 135750 99999 POZARANE-PGC MK 41.85 20.866999999999997 885.0 20010725 20200624 135760 99999 MAVROVO MK 41.7 20.75 1240.0 20120703 20200413 135770 99999 LAZAROPOLE MK 41.533 20.7 1321.0 19730102 20200519 135780 99999 OHRID MK LWOH 41.18 20.741999999999997 705.0 19730105 20200624 135790 99999 OHRID-AERODROME MK LYOH 41.1 20.816999999999997 700.0 19910701 20081231 135800 99999 PRETOR-PGC MK 40.983000000000004 21.066999999999997 910.0 20011113 20200624 135810 99999 TOPOLCANI-PGC MK 41.217 21.467 -999.9 20010730 20200624 135820 99999 KRUSEVO MK 41.367 21.25 1230.0 19570101 20130301 135830 99999 BITOLA MK 41.05 21.366999999999997 589.0 19730101 20200624 135840 99999 SOLUNSKA GLAVA MK 41.733000000000004 21.517 2540.0 20010705 20120823 135850 99999 PRILEP MK 41.333 21.566999999999997 674.0 19360102 20200624 135860 99999 SKOPJE MK LWSK 41.961999999999996 21.621 238.0 19280106 20200624 135880 99999 SKOPJE-ZAJCEV RID MK 42.016999999999996 21.4 301.0 20011113 20200624 135890 99999 KUMANOVO MK 42.133 21.717 338.0 20151212 20151212 135900 99999 GURISTE-PGC MK 41.9 21.85 856.0 20010713 20200624 135910 99999 STIP MK 41.75 22.183000000000003 327.0 19730102 20200624 135920 99999 DEMIR KAPIJA MK 41.417 22.25 126.0 19730101 20200624 135930 99999 POZAR-PGC MK 41.3 22.416999999999998 1030.0 20011113 20191130 135940 99999 VINICA-PGC MK 41.883 22.5 513.0 20010726 20200624 135950 99999 STRUMICA MK 41.433 22.65 224.0 20011113 20200624 135970 99999 GEVGELIJA MK 41.15 22.5 59.0 20010705 20200624 135980 99999 BEROVO MK 41.717 22.85 836.0 19910701 20200624 135990 99999 KAVADARCI MK 41.433 22.033 260.0 20130228 20130301 136000 99999 SHKODRA AL 42.1 19.533 43.0 19560101 20200624 136010 99999 TIRANA-LA PRAKA AL 41.333 19.8 97.0 20110525 20200624 136100 99999 KUKES AL 42.033 20.417 354.0 19730106 20200624 136110 99999 DURRES AL 41.3 19.45 12.0 19730106 20200624 136120 99999 DURRES AL 41.3 19.467 8.0 19931101 20041116 136150 99999 TIRANA RINAS AL LATI 41.415 19.721 38.4 19560101 20200624 136190 99999 PESHKOPI AL 41.683 20.433 653.0 19730106 20200624 136220 99999 VLORE AL 40.467 19.483 5.0 19601002 20200624 136230 99999 SAZAN ISLAND AL 40.5 19.283 240.0 19330516 20200624 136240 99999 QYTETI STALIN AL 40.8 19.9 33.0 19730106 20200624 136250 99999 GJIROKASTRA AL 40.083 20.15 194.0 19560101 20200624 136290 99999 KORCA AL 40.6 20.767 899.0 19560101 20200624 136424 99999 PODGORICA (TITOGRAD 42.383 19.283 37.0 19930112 19930208 140050 99999 BOVEC SI LJBO 46.333 13.567 452.0 19960204 20050913 140060 99999 VOGEL SI 46.266999999999996 13.833 1535.0 19960101 20200624 140070 99999 RATECE SI 46.5 13.717 864.5 19960101 20200624 140080 99999 KREDARICA SI 46.383 13.85 2515.0 19960201 20200624 140090 99999 VOJSKO SI 46.033 13.9 1067.0 19960102 20200624 140100 99999 LESCE SI 46.367 14.183 515.0 19960101 20200624 140120 99999 KATARINA SI 46.1 14.367 685.0 19960101 20200624 140140 99999 LJUBLJANA SI LJLJ 46.224 14.458 388.0 19960201 20200624 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ANGELO IT LIBE 41.7 15.95 844.0 20040917 20200624 162320 99999 TERMOLI IT LIBT 42.0 15.0 44.0 19730101 20200624 162330 99999 GUIDONIA IT 42.0 12.732999999999999 90.0 20050727 20120531 162340 99999 GUIDONIA IT LIRG 41.99 12.741 88.1 19660923 20200624 162350 99999 URBE IT LIRU 41.952 12.499 16.8 19730101 20200624 162380 99999 ROMA/CENTOCELLE IT 41.867 12.567 53.0 20050727 20120531 162390 99999 CIAMPINO IT LIRA 41.799 12.595 130.1 19511001 20200624 162400 99999 ROME IT 41.9 12.482999999999999 95.0 19280101 20040826 162420 99999 FIUMICINO IT LIRF 41.803999999999995 12.251 4.6 19650701 20200624 162430 99999 LATINA IT LIRL 41.542 12.909 28.3 19440301 20200624 162440 99999 FROSINONE (IT-AFB) IT LIRH 41.633 13.3 181.0 19730101 20200624 162450 99999 PRATICA DI MARE IT LIRE 41.659 12.445 12.5 19660923 20200624 162460 99999 FROSINONE IT 41.633 13.3 186.0 20050727 20090206 162470 99999 LATINA IT 41.55 12.9 26.0 20050727 20180621 162490 99999 CAPE CIRCEO IT LIQT 41.217 13.05 3.0 19730101 20180307 162520 99999 CAMPOBASSO IT LIBS 41.567 14.65 807.0 19650201 20200624 162530 99999 GRAZZANISE IT LIRM 41.06100000000001 14.082 8.8 19440331 20200624 162580 99999 MONTE S. ANGELO IT 41.7 15.95 848.0 19730101 20200624 162591 99999 PARMA IT LIMP 44.824 10.296 49.1 20040525 20200624 162592 99999 LEVALDIGI IT LIMZ 44.547 7.622999999999999 386.2 20040510 20200624 162593 99999 MONTICHIARI IT LIPO 45.428999999999995 10.331 108.5 20040510 20200624 162600 99999 GINA LISA IT LIBF 41.433 15.533 81.0 19570701 20200624 162603 99999 FOGGIA/GINO LISA & IT LIBF 41.433 15.533 80.0 19430930 19460915 162610 99999 AMENDOLA IT LIBA 41.541000000000004 15.718 55.8 19440131 20200624 162620 99999 TREVICO IT 41.05 15.232999999999999 1093.0 20050727 20120531 162630 99999 TREVICO IT LIRT 41.05 15.232999999999999 1093.0 19730101 20200624 162640 99999 MARINA DI GINOSA IT 41.133 15.517000000000001 514.0 19730101 19900403 162660 99999 VIESTE IT 41.883 16.167 4.0 19730101 20200624 162700 99999 BARI IT LIBD 41.133 16.767 53.9 19431207 20200624 162710 99999 BARI IT 41.117 16.883 11.0 20050727 20200624 162800 99999 PONZA ISLAND IT LIQZ 40.917 12.95 185.0 19650201 20200624 162810 99999 PONZA IT 40.917 12.95 185.0 20050831 20081003 162880 99999 CASERTA IT 41.067 14.317 62.0 20050727 20200609 162890 34113 NAPLES NAVAL AIR STATION IT LIRN 40.9 14.3 67.1 19981101 20200624 162890 99999 NAPOLI/CAPODICHINO IT LIRN 40.85 14.3 72.0 19511001 20081231 162920 99999 PONTECAGNANO IT 40.617 14.917 39.0 19730101 20090206 162923 99999 PONTECAGNANO IT LIRI 40.62 14.911 37.5 19930129 20200624 162940 99999 CAPRI ISLAND IT LIQC 40.55 14.25 269.0 19730101 20200624 162950 99999 CAPRI IT 40.55 14.2 161.0 20050728 20060529 162980 99999 19440301 19470228 163000 99999 POTENZA IT LIBZ 40.633 15.8 843.0 19650201 20070213 163100 99999 CAPE PALINURO IT LIQK 40.016999999999996 15.283 185.0 19640811 20200624 163120 99999 GIOIA DEL COLLE IT LIBV 40.768 16.933 361.8 19440229 20200624 163140 99999 MATERA IT 40.65 16.7 498.0 20050727 20200624 163160 99999 LATRONICO IT 40.083 16.017 896.0 19740902 20200624 163170 99999 LATRONICO IT LIBU 40.083 16.017 896.0 20050727 20200624 163180 99999 MARTINA FRANCA IT 40.633 17.217 414.0 19730915 20191204 163200 99999 CASALE IT LIBR 40.658 17.947 14.3 19431129 20200624 163240 99999 GROTTAGLIE IT LIBG 40.518 17.403 65.5 19430927 20200624 163250 99999 MARINA DI GINOSA IT LIBH 40.433 16.883 12.0 19670317 20200624 163300 99999 TARANTO IT 40.467 17.233 22.0 19310104 19391231 163320 99999 LECCE IT LIBN 40.239000000000004 18.133 47.5 19431231 20200624 163330 99999 LECCE IT 40.233000000000004 18.133 48.0 20050727 20181211 163340 99999 OTRANTO IT 40.1 18.483 80.0 19730101 20200624 163360 99999 BONIFATI IT 39.583 15.9 485.0 20060201 20120531 163370 99999 BONIFATI (CAPE) IT LIBW 39.583 15.883 485.0 19650201 20200624 163380 99999 CALOPEZZATI IT LICM 39.567 16.8 179.0 19740808 19810220 163383 99999 CALOPEZZATI IT LICM 39.55 16.8 179.0 19930312 19961009 163440 99999 MONTE SCURO IT 39.333 16.4 1677.0 19730101 20200624 163445 99999 SCURO MOUNTAIN IT LIBQ 39.333 16.4 1720.0 20050101 20200624 163450 99999 MONTE SCURO IT 39.333 16.4 1677.0 20061024 20120531 163500 99999 CROTONE IT LIBC 38.997 17.08 158.8 19570701 20200624 163510 99999 CROTONE IT 39.0 17.083 155.0 20050727 20120531 163600 99999 SANTA MARIA DI LEUC IT LIBY 39.817 18.35 112.0 19650201 20200624 163620 99999 LAMEZIA TERME IT LICA 38.905 16.242 11.9 19771101 20200624 163640 99999 SERRALTA DI S. VITO IT 38.75 16.367 997.0 19730101 20200623 163650 99999 CATANZARO IT 38.9 16.6 358.0 20060711 20200624 163680 99999 VIBO VALENTIA IT 38.667 16.1 520.0 19730725 19810711 164000 99999 USTICA ISLAND IT LICU 38.7 13.183 251.0 19570701 20200624 164010 99999 USTICA IT 38.7 13.183 243.0 20051017 20120529 164050 99999 PALERMO IT LICJ 38.176 13.091 19.8 19640811 20200624 164090 99999 PALERMO BOCCADIFALCO IT 38.117 13.317 123.0 20060710 20170927 164100 99999 BOCCADIFALCO IT LICP 38.111 13.312999999999999 105.2 19430807 20090111 164150 99999 ISOLA SALINA IT 38.567 14.85 46.0 19840501 20191121 164160 99999 ISOLA STROMBOLI IT 38.8 15.232999999999999 5.0 19730101 20200624 164200 99999 MESSINA IT LICF 38.2 15.55 51.0 19310101 20200624 164220 99999 REGGIO CALABRIA IT LICR 38.071 15.652000000000001 29.3 19730101 20200624 164290 99999 TRAPANI BIRGI IT LICT 37.911 12.488 7.3 19650201 20200624 164300 99999 MARSALA IT 37.817 12.467 2.0 19570701 19581231 164340 99999 PRIZZI IT LICX 37.717 13.433 1035.0 19730101 20200624 164350 99999 PRIZZI IT 37.717 13.433 1035.0 20050727 20160205 164360 99999 SCIACCA IT 37.516999999999996 13.083 125.0 19431010 20200624 164420 99999 GIBILMANNA IT 37.983000000000004 14.017000000000001 998.0 20050727 20191114 164500 99999 ENNA IT LICE 37.567 14.283 965.0 19730101 20200624 164530 99999 GELA IT LICL 37.083 14.217 33.0 19430902 20200624 164535 99999 19730101 19740117 164540 99999 GELA IT 37.083 14.217 65.0 20050727 20170526 164590 99999 CATANIA/SIGONELLA IT LICZ 37.4 14.917 22.0 19430810 20200624 164594 33126 SIGONELLA IT KQNS 37.4 14.917 31.1 19790101 20041231 164600 99999 CATANIA FONTANAROSSA IT LICC 37.467 15.065999999999999 11.9 19431028 20200624 164640 99999 SIRACUSA IT 37.05 15.279000000000002 2.0 20050727 20200624 164650 99999 MEZZO GREGORIO IT 36.967 14.95 639.0 20050727 20200624 164690 99999 CAPO SPARTIVENTO IT 37.933 16.05 118.0 19740601 20200624 164700 99999 PANTELLERIA IT LICG 36.817 11.969000000000001 193.5 19430620 20200624 164710 99999 PANTELLERIA IT 36.817 11.967 185.0 20050727 20090206 164750 99999 COMISO IT LICB 36.983000000000004 14.617 210.0 20050727 20200624 164751 99999 COMISO AS (USAF) IT LICB 36.983000000000004 14.583 220.0 19840323 19860430 164800 99999 COZZO SPADARO IT LICO 36.683 15.133 51.0 19660101 20200624 164900 99999 LAMPEDUSA IT LICD 35.498000000000005 12.618 21.3 19660104 20200624 164910 99999 LAMPEDUSA IT 35.5 12.6 50.0 20050727 20120531 165020 99999 ASINARA ISLAND IT LIER 41.117 8.317 115.0 19701001 19751209 165029 99999 19751117 19761215 165040 99999 PORTO TORRES IT 40.839 8.405 8.0 20151207 20160705 165060 99999 GUARDIAVECCHIA IT LIEG 41.217 9.4 170.0 19701001 20021029 165200 99999 ALGHERO IT LIEA 40.632 8.291 26.5 19570701 20200624 165220 99999 CAPE CACCIA IT LIEH 40.567 8.167 205.0 19750717 20200624 165230 99999 CAPO CACCIA IT 40.567 8.167 204.0 20050727 20120528 165240 99999 MACOMER SA' CRABARZA IT 40.266999999999996 8.767000000000001 586.0 19730101 20090206 165300 99999 OLSIA SARDINIA IT 40.933 9.5 2.1 19310104 19750910 165310 99999 OLBIA COSTA SMERALDA IT LIEO 40.899 9.517999999999999 11.3 19691117 20200624 165320 99999 MONTE LIMBARA IT 40.85 9.167 1363.0 20050727 20191214 165370 99999 FONNI IT 40.117 9.25 992.0 20050727 20080221 165380 99999 FONNI IT LIEN 40.117 9.25 1029.0 19730301 20161015 165390 99999 CAPE FRASCA IT LIEF 39.75 8.467 92.0 19660104 20200624 165410 99999 PERDASDEFOGU IT LIEP 39.667 9.433 645.0 19730101 20200624 165420 99999 CAPE S. LORENZO IT LIEL 39.5 9.617 22.0 19730101 20200624 165430 99999 CAPO S. LORENZO IT 39.5 9.633 3.0 20050727 20081125 165440 99999 MOUNT SERPEDDI IT 39.367 9.3 1067.0 19730101 19780812 165450 99999 PERDASDEFOGU IT 39.667 9.45 609.0 20050727 20120531 165460 99999 DECIMOMANNU IT LIED 39.354 8.972000000000001 30.5 19660923 20200624 165480 99999 CARLOFORTE IT 39.133 8.317 15.0 19780914 20020327 165490 99999 CARLOFORTE IT 39.133 8.3 12.0 19850301 20081023 165500 99999 CAPE BELLAVISTA IT LIEB 39.933 9.717 156.0 19660104 20200624 165600 99999 ELMAS IT LIEE 39.251 9.054 4.0 19431101 20200624 165635 99999 LAMEZIA TERME IT 38.917 16.233 12.0 19770125 19830627 165640 99999 CAPE CARBONARA IT LIEC 39.1 9.517000000000001 118.0 19730101 20200624 165643 99999 BOGUS ITALIAN IT LIEZ 19890310 19900901 165650 99999 CAPO CARBONARA IT 39.1 9.517000000000001 118.0 20050805 20120525 165700 99999 TEULADA IT 38.983000000000004 8.65 50.0 20080115 20120529 165820 99999 PADOVA IT 45.7 11.85 15.0 20070822 20170220 165840 99999 BARI PALESE IT 41.133 16.767 46.0 20070822 20191003 165850 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167330 99999 XIROKAMBOS GR 37.117 26.866999999999997 22.0 19350101 19391231 167340 99999 METHONI GR 36.833 21.7 53.2 19340201 20200624 167341 99999 CYCLADES ISLANDS GR LGNX 37.083 25.366999999999997 3.0 20040510 20200624 167380 99999 MILOS GR 36.733000000000004 24.433000000000003 168.4 19321101 20200624 167400 99999 KOS ISLAND GR 36.8 27.1 125.0 19670318 19710318 167410 99999 EL VENIZELOS GR 37.917 23.933000000000003 73.5 20090915 20200624 167420 99999 KOS GR LGKO 36.793 27.092 125.6 19821001 20200624 167430 99999 KITHIRA GR LGKC 36.274 23.017 318.5 19330101 20200624 167440 99999 THIRA (AIRPORT) GR 36.417 25.433000000000003 36.0 19350101 20020513 167443 99999 SANTORINI GR LGSR 36.399 25.479 38.7 19910801 20200624 167460 99999 SOUDA GR LGSA 35.532 24.15 149.4 19321101 20200624 167464 33209 SOUDA BAY CRETE GR CR KQNC 35.533 24.15 146.3 19730801 20041231 167470 99999 KHANIA GR 35.5 24.033 62.0 19491001 19700514 167480 99999 KARPATHOS (TOWN) GR 35.5 27.217 9.0 19920612 20041216 167490 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41.317 33.783 1100.0 20180101 20180528 170223 99999 SAMANDIRA TU LTBX 41.0 29.217 121.9 20111212 20200624 170240 99999 INEBOLU TU 41.983000000000004 33.783 64.0 19730101 20200624 170260 99999 SINOP TU 42.033 35.167 32.0 19570701 20200624 170290 99999 SAMSUN\MEYDAN TU LTAQ 41.283 36.333 168.0 19730101 19990822 170300 99999 SAMSUN TU 41.283 36.3 4.0 19510101 20200624 170310 99999 CARSAMBA TU LTFH 41.254 36.567 5.5 20010915 20200624 170330 99999 ORDU TU 40.983000000000004 37.9 4.0 20031119 20200624 170340 99999 GIRESUN TU 40.917 38.383 37.0 19730101 20200624 170380 99999 TRABZON TU LTCG 40.995 39.79 31.7 19510101 20200624 170400 99999 RIZE TU 41.033 40.516999999999996 9.0 20031117 20200624 170420 99999 HOPA TU 41.4 41.433 33.0 19630103 20200624 170450 99999 ARTVIN TU 41.183 41.817 628.0 20010912 20200624 170460 99999 ARDAHAN TU 41.117 42.717 1829.0 20080906 20200624 170500 99999 EDIRNE TU 41.667 26.566999999999997 51.0 19550101 20200624 170520 99999 KIRKLARELI TU 41.733000000000004 27.233 232.0 19910202 20200624 170540 99999 CORLU TU LTBU 41.138000000000005 27.919 175.0 20050101 20200624 170560 99999 TEKIRDAG TU 40.983000000000004 27.55 3.0 19630101 20200624 170575 99999 CORLU TU 41.133 27.916999999999998 179.0 19921223 20180522 170590 99999 KUMKOY TU 41.25 29.033 30.0 19730101 20200624 170600 99999 ATATURK TU LTBA 40.977 28.820999999999998 49.7 19450613 20200624 170610 99999 SARIYER TU 41.133 29.066999999999997 58.0 19650405 20200624 170620 99999 ISTANBUL/GOZTEPE TU 40.9 29.15 33.0 19990603 20070509 170630 99999 SABIHA GOKCEN TU LTFJ 40.899 29.309 95.1 20031118 20200624 170640 99999 ISTANBUL BOLGE (KARTAL) TU 40.9 29.15 18.0 20140218 20200624 170660 99999 19730101 19750823 170661 99999 IZMIT TU 40.766999999999996 29.9 76.0 20150817 20200624 170670 99999 GOLCUK/DUMLUPINAR TU 40.667 29.833000000000002 18.0 19630101 20161214 170671 99999 KAPADOKYA TU 38.766999999999996 34.533 969.0 20040510 20180514 170672 99999 YENISEHIR TU 40.25 29.55 239.0 20040510 20180528 170673 99999 CARSAMBA TU 41.25 36.567 6.0 20040510 20180528 170674 99999 ANTALYA/GAZIPASA TU LTFG 36.3 32.3 28.0 20040510 20200624 170675 99999 EDREMIT KORFEZ TU 39.55 27.0 50.0 20180101 20180524 170680 99999 CENGIZTOPEL TU 40.85 29.9 70.0 19990315 20200624 170690 99999 ADAPAZARI TU 40.783 30.416999999999998 30.0 20030606 20200624 170700 99999 BOLU TU 40.733000000000004 31.6 743.0 19730101 20200624 170720 99999 DUZCE TU 40.833 31.166999999999998 146.0 20081020 20200624 170740 99999 KASTAMONU TU LTAL 41.31399999999999 33.796 1100.0 19630101 20200624 170780 99999 KARABUK TU 41.2 32.633 259.0 20080801 20160516 170800 99999 CANKIRI TU 40.6 33.617 751.0 20040417 20200624 170820 99999 MERZIFON TU LTAP 40.829 35.522 535.8 19500101 20200624 170840 99999 CORUM TU 40.55 34.95 776.0 19730101 20200624 170850 99999 AMASYA TU 40.65 35.85 412.0 19910212 20200624 170860 99999 TOKAT TU LTAW 40.3 36.567 608.0 19910216 20200624 170880 99999 GUMUSHANE TU 40.467 39.467 1219.0 19860624 20200624 170890 99999 BAYBURT TU 40.25 40.233000000000004 1584.0 20091117 20200624 170900 99999 SIVAS TU LTAR 39.814 36.903 1595.9 19630103 20200624 170905 99999 SIVAS (CIV/MIL) TU LTAR 39.75 37.016999999999996 1285.0 19760802 19900801 170920 99999 ERZINCAN TU LTCD 39.71 39.527 1153.1 19500101 20200624 170950 99999 ERZURUM BOLGE TU 39.9 41.283 1869.0 20140218 20200624 170960 99999 ERZURUM TU LTCE 39.957 41.17 1756.6 19500501 20200624 170965 99999 ERZURUM (CIV/MIL) TU 39.917 41.266999999999996 1869.0 19751202 19901128 170980 99999 KARS TU LTCF 40.562 43.115 1795.0 19630105 20200624 170981 99999 SIIRT TU LTCL 37.979 41.84 609.9 20061222 20200624 170990 99999 AGRI TU LTCO 39.733000000000004 43.05 1632.0 20010712 20200624 171000 99999 IGDIR TU 39.917 44.05 858.0 19630106 20200624 171001 99999 IGDIR AIRPORT TU LTCT 39.983000000000004 43.867 946.0 20120713 20200624 171100 99999 GOKCEADA TU 40.183 25.9 72.0 19730101 20160328 171110 99999 BOZCAADA TU 39.833 26.066999999999997 30.0 20080922 20160809 171120 99999 CANAKKALE TU LTBH 40.138000000000005 26.427 7.0 19630101 20200624 171150 99999 BANDIRMA TU LTBG 40.318000000000005 27.978 51.8 19500101 20200624 171160 99999 BURSA TU LTBE 40.183 29.066999999999997 100.0 19730101 20200624 171170 99999 KUTAHYA(TAFB) TU LTBN 39.433 30.017 921.0 19730101 20200612 171180 99999 YENISEHIR TU LTBR 40.255 29.563000000000002 232.9 20050101 20200624 171185 99999 SIVRIHISAR TU LTAV 39.451 31.365 970.8 19940124 20200624 171190 99999 YALOVA TU LTBP 40.667 29.283 4.0 20080808 20200624 171200 99999 BILECIK TU 40.15 29.967 539.0 19950901 20200624 171240 99999 ESKISEHIR TU LTBI 39.784 30.581999999999997 786.7 19500101 20200624 171270 99999 AKINCI TU LTAE 40.079 32.566 843.4 19730101 20200624 171273 99999 MURTED (TUR-AFB) TU 40.083 32.567 840.0 19900424 19950831 171280 99999 ESENBOGA TU LTAC 40.128 32.995 952.5 19670101 20200624 171290 99999 ETIMESGUT TU LTAD 39.95 32.689 808.6 19450131 20200624 171295 99999 GUVERCINLIK TU 39.933 32.733000000000004 842.0 19940806 20180524 171300 99999 ANKARA/CENTRAL TU 39.95 32.883 891.0 19740601 20200624 171310 99999 GUVERCINLIK TU LTAB 39.935 32.741 821.1 20050101 20200624 171350 99999 KIRIKKALE TU 39.85 33.516999999999996 748.0 19980303 20200624 171400 99999 YOZGAT TU 39.817 34.8 1298.0 19910301 20200624 171450 99999 EDREMIT KORFEZ TU LTFD 39.555 27.014 15.2 19990211 20200624 171500 99999 BALIKESIR TU LTBF 39.619 27.926 103.6 19500101 20200624 171550 99999 KUTAHYA TU 39.417 29.967 969.0 20030330 20200624 171600 99999 KIRSEHIR TU 39.15 34.167 1007.0 19630111 20200624 171620 99999 GEMEREK TU 39.183 36.067 1171.0 19730101 20160701 171650 99999 TUNCELI TU 39.117 39.55 981.0 20090112 20200624 171700 99999 VAN TU LTCI 38.468 43.332 1670.3 19570701 20200624 171750 99999 AYVALIK TU 39.3 26.7 4.0 19980303 20200624 171770 99999 BOGUS TURKISH TU 19881001 19900329 171800 99999 DIKILI TU 39.067 26.883000000000003 3.0 19730101 20200624 171840 99999 AKHISAR TU LTBT 38.809 27.834 80.2 19630101 20200624 171860 99999 MANISA TU 38.617 27.433000000000003 71.0 19860624 20200624 171865 99999 MANISA / SANAYI AIRPORT TU LTBZ 38.633 27.35 73.5 20121124 20200624 171880 99999 USAK TU LTBO 38.683 29.4 919.0 19630101 20200624 171890 99999 AFYONKARAHISAR TU 38.73 30.6 1012.0 20080101 20190415 171900 99999 AFYON TU LTAH 38.726 30.601 1008.9 19630101 20200624 171905 99999 AFYON (MIL) TU 38.733000000000004 30.6 1010.0 19500101 19901011 171910 99999 CIHANBEYLI TU 38.65 32.95 969.0 20080807 20200624 171920 99999 AKSARAY TU 38.383 34.05 961.0 20081125 20200624 171930 99999 NEVSEHIR TU 38.617 34.7 1260.0 20010711 20200624 171940 99999 KAPADOKYA TU LTAZ 38.772 34.535 944.9 20050103 20200624 171950 99999 ERKILET TU LTAU 38.77 35.495 1055.5 19660722 20200624 171960 99999 KAYSERI BOLGE TU LTAM 38.683 35.483000000000004 1096.0 19630101 20021121 171970 99999 TULGA TU LTAO 38.354 38.254 919.3 20020902 20200624 171983 99999 AKHISAR (TUR-AFB) & TU 38.8 27.833000000000002 75.0 19870108 19881213 171990 99999 MALATYA/BOLGE TU 38.35 38.317 948.0 20040713 20081231 172000 99999 ERHAC TU LTAT 38.435 38.091 862.0 19500106 20200624 172005 99999 TOPEL TU LTBQ 40.735 30.083000000000002 55.5 19770323 20200624 172006 99999 ANADOLU TU LTBY 39.81 30.519000000000002 788.8 20050804 20200624 172020 99999 ELAZIG TU LTCA 38.607 39.291 892.1 19730101 20200624 172030 99999 BINGOL TU LTCU 38.867 40.5 1177.0 19910406 20200624 172040 99999 MUS TU 38.733000000000004 41.516999999999996 1320.0 20031121 20200624 172043 99999 MUS TU LTCK 38.748000000000005 41.661 1267.1 19920914 20200624 172050 99999 TATVAN TU 38.483000000000004 42.3 1665.0 19750427 20161129 172100 99999 SIIRT TU 37.917 41.95 896.0 19630104 20200624 172180 99999 CIGLI TU LTBL 38.513000000000005 27.01 4.9 19500115 20200624 172189 99999 KAKLIC TU LTFA 38.518 26.976999999999997 4.0 19971010 20200624 172190 99999 ADNAN MENDERES TU LTBJ 38.292 27.156999999999996 125.6 19800925 20200624 172191 99999 GAZIEMIR TU LTBK 38.319 27.159000000000002 132.0 19731108 20200624 172200 99999 IZMIR/GUZELYALI TU 38.433 27.166999999999998 29.0 19500115 20200624 172210 99999 CESME TU 38.3 26.3 5.0 20090313 20200624 172320 99999 KUSADASI TU LTFB 37.867 27.25 22.0 20070127 20200624 172340 99999 AYDIN TU LTBD 37.85 27.85 56.0 19821101 20200624 172345 99999 DALAMAN/MUGLA TU 36.717 28.783 7.0 19860111 19881111 172370 99999 DENIZLI TU 37.783 29.083000000000002 425.0 19730101 20200624 172375 99999 CARDAK TU LTAY 37.786 29.701 851.9 19940805 20200624 172380 99999 BURDUR TU 37.667 30.333000000000002 967.0 20070127 20200624 172390 99999 AKSEHIR TU 38.35 31.416999999999998 1002.0 20081105 20200624 172400 99999 ISPARTA TU LTBM 37.785 30.581999999999997 990.6 19630101 20200624 172410 99999 SULEYMAN DEMIREL TU LTFC 37.855 30.368000000000002 864.1 20040713 20200624 172440 99999 KONYA TU LTAN 37.979 32.562 1030.5 19500102 20200624 172460 99999 KARAMAN TU 37.2 33.217 1023.0 20091028 20200624 172480 99999 EREGLI/KONYA TU 37.5 34.05 1044.0 19730101 20200624 172500 99999 NIGDE TU 37.967 34.683 1210.0 19880106 20200624 172550 99999 KAHRAMANMARAS TU LTCN 37.6 36.933 572.0 19980303 20200624 172600 99999 OGUZELI TU LTAJ 36.946999999999996 37.479 705.6 19730101 20200624 172620 99999 KILIS TU 36.717 37.117 638.0 20080821 20200624 172650 99999 ADIYAMAN TU LTCP 37.75 38.283 672.0 20070127 20200624 172700 99999 SANLIURFA TU 37.133 38.766999999999996 549.0 19630105 20200624 172710 99999 GAP/SANLIURFA TU LTCS 37.483000000000004 38.883 825.4 20080401 20200624 172734 99999 MILAS BODRUM TU 37.25 27.666999999999998 7.0 19990114 20180514 172750 99999 MARDIN TU LTCR 37.3 40.733000000000004 1050.0 19910214 20200624 172800 99999 DIYARBAKIR TU LTCC 37.894 40.201 686.1 19500101 20200624 172805 99999 BATMAN (TUR-AFB) TU LTCJ 37.933 41.117 533.0 19740731 19891228 172820 99999 BATMAN TU LTCJ 37.929 41.117 555.3 19910209 20200624 172821 99999 SIRNAK TU LTCV 37.367 42.567 621.0 20130917 20200624 172850 99999 HAKKARI TU 37.567 43.766999999999996 1728.0 19730101 20200624 172900 99999 IMSIK TU LTBV 37.14 27.67 61.6 19630101 20200624 172910 99999 MILAS BODRUM TU LTFE 37.251 27.664 6.4 20050101 20200624 172920 99999 MUGLA TU 37.217 28.366999999999997 646.0 19630101 20200624 172950 99999 DALAMAN TU LTBS 36.713 28.793000000000003 6.1 19860624 20200624 172953 99999 DALAMAN/MUGLA TU 36.717 28.783 7.0 19881208 19901126 172960 99999 FETHIYE TU 36.617 29.116999999999997 3.0 20080821 20200624 172970 99999 DATCA TU 36.7 27.666999999999998 28.0 20080821 20200624 172980 99999 MARMARIS TU 36.85 28.267 16.0 19871227 20200624 173000 99999 ANTALYA TU LTAI 36.899 30.8 53.9 19510101 20200624 173020 99999 ANTALYA-BOLGE TU 36.867 30.7 47.0 20080801 20200624 173100 99999 ALANYA TU 36.55 32.0 6.0 20010705 20200624 173200 99999 ANAMUR TU 36.083 32.833 4.0 19861216 20200624 173300 99999 SILIFKE TU 36.383 33.933 15.0 19630101 20200624 173400 99999 MERSIN TU 36.8 34.633 3.0 19740820 20200624 173500 33308 ADANA/INCIRLIK TU LTAG 37.0 35.417 66.0 19730101 20200624 173500 99999 INCIRLIK AB TU LTAG 37.001999999999995 35.426 72.5 20000101 20041231 173505 99999 ADANA CIVIL TU 36.983000000000004 35.283 20.0 19730503 19870320 173510 99999 ADANA/BOLGE TU 36.983000000000004 35.35 27.0 19990612 20050921 173520 99999 ADANA TU LTAF 36.982 35.28 19.8 19450412 20200624 173550 99999 OSMANIYE TU 37.1 36.25 94.0 20091117 20200624 173700 99999 ISKENDERUN TU LTAK 36.573 36.154 7.6 19510101 20200624 173720 99999 HATAY-ANTAKYA TU 36.2 36.167 100.0 19760315 20091117 173721 99999 ERCAN/TYMBOU CY 35.15 33.5 117.0 19870302 19881027 173725 99999 HATAY TU LTDA 36.35 36.283 267.0 19761023 20200624 173750 99999 FINIKE TU 36.3 30.15 2.0 19860624 20200624 173800 99999 KAS TU 36.2 29.65 153.0 20080824 20200624 175000 99999 GUZELYURT CY LCGU 35.183 32.983000000000004 52.0 20050322 20200624 175010 99999 LEFKE CY 35.817 32.85 129.0 20080721 20200624 175050 99999 AKDENIZ CY LCAK 35.3 32.967 89.0 20080721 20200624 175070 99999 YESILIRMAK CY LCYS 35.167 32.733000000000004 20.0 20090701 20200624 175100 99999 GIRNE CY 35.35 33.333 10.0 20050322 20200624 175150 99999 LEFKOSA CY 35.2 33.35 131.0 20050323 20200624 175210 99999 ERCAN CY 35.15 33.5 119.0 20080101 20160719 175300 99999 GECITKALE CY 35.233000000000004 33.733000000000004 45.0 20090701 20200624 175350 99999 ISKELE CY LCIS 35.283 33.883 39.0 20080721 20200624 175400 99999 GAZIMAGUSA CY 35.133 33.933 0.0 20050322 20200624 175470 99999 DIPKARPAZ CY LCDP 35.583 34.383 136.0 20090701 20200624 175500 99999 YENIERENKOY CY 35.533 34.016999999999996 123.0 20080721 20200624 176000 99999 PAFOS INTL CY LCPH 34.718 32.486 12.5 19490101 20200624 176010 99999 AKROTIRI CY LCRA 34.59 32.988 23.2 19600103 20200624 176020 99999 GECITKALE CY 35.233000000000004 -33.717 44.0 19490101 20081116 176025 99999 GECITKALE CY LCGK 35.233000000000004 33.733000000000004 45.0 20060719 20090918 176051 99999 ERCAN/TYMBOU CY 35.15 33.5 117.0 19890131 19900119 176060 99999 NICOSIA AIRFIELD CY 35.15 33.283 216.7 19490101 19760111 176070 99999 NICOSIA/ATHALASSA CY LCNC 35.15 33.4 161.0 19900101 20200624 176074 99999 ERCAN CY 35.15 33.5 91.0 19921219 20200624 176083 99999 BOGUS CYPRUS CY LCGK 19860620 19881028 176090 99999 LARNACA CY LCLK 34.875 33.625 2.4 19770101 20200624 176110 99999 AYIOS NICOLAOS CY 35.083 33.9 37.0 19541215 20070127 176170 99999 KARPAZIA CY 35.667 34.567 6.0 19490101 19531231 200260 99999 VIKTORIYA ISLAND RS 80.167 36.75 9.0 19591102 20020320 200290 99999 ABELOYA SV 79.0 30.166999999999998 0.0 19600119 19621230 200340 99999 NAGURSKOYE RS 80.817 47.417 18.0 19550305 20030314 200460 99999 POLARGMO IM. 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USHAKOVA RS 79.55 90.56700000000001 8.0 19320101 20200624 200970 99999 CAPE PESCHANIY RS 79.383 102.417 6.0 19590901 20040925 201070 99999 BARENTSBURG SV 78.067 14.25 75.0 19520101 20200624 201080 99999 LONGYEARBYEN SV 70.433 83.75 29.0 19540605 19570613 201460 99999 ZALIV GULDA RS 79.917 58.917 -999.0 19620201 19621230 201860 99999 KRASNOFLOTSKIYE ISL RS 78.617 98.7 8.0 19550305 19871130 201990 99999 MALYY TAYMIR ISLAND RS 78.133 107.2 12.0 19550305 19940818 202740 99999 OSTROV UEDINENIJA RS 77.5 82.2 23.0 19350202 19961121 202770 99999 ISACHENKO ISLAND RS 77.283 89.667 5.0 19550305 19970330 202890 99999 RUSSKIY ISLAND RS 77.183 96.583 9.0 19550305 19960426 202910 99999 SOLNECHNAYA BAY RS 78.233 103.117 30.0 19550305 20050901 202920 99999 GMO IM.E.K. 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M.V. 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90.93299999999999 281.0 19590101 19621209 297660 99999 IDRINSKOE RS 54.367 92.133 282.0 19480101 20200624 297680 99999 LEBYAZH'E RS 54.2 91.583 252.8 20120330 20200624 297710 99999 SHCHETINKINO RS 55.35 92.1 804.3 20120330 20200624 297720 99999 ARTEMOVSK RS 54.367 93.43299999999999 479.3 19530216 20200624 297890 99999 VERHNJAJA GUTARA RS 54.217 96.96700000000001 984.0 19530216 20200624 297940 99999 BIRJUSA RS 54.383 97.78299999999999 802.0 19590102 20010529 298020 99999 MIKHAILOVKA KZ 53.817 76.533 114.0 19590102 20200624 298070 99999 ERTIS KZ 53.35 75.45 94.0 19480101 20200624 298130 99999 KRASNOOZERSK RS 53.967 79.233 144.0 19530218 20180725 298140 99999 KARASUK RS 53.733000000000004 78.017 115.0 19530216 20200624 298160 99999 HABARY RS 53.617 79.55 138.0 19530216 20021222 298220 99999 KAMEN'-NA-OBI RS 53.817 81.267 129.0 19460101 20180725 298230 99999 19870511 19870511 298270 99999 BAEVO RS 53.266999999999996 80.767 122.0 19530218 20200624 298320 99999 TALMENKA RS 53.817 83.583 144.0 19530216 20090627 298360 99999 SOROKINO RS 53.75 84.95 221.0 19530216 20011027 298370 99999 SELABOLIHA RS 53.4 82.6 170.0 19570701 20020828 298380 99999 BARNAUL RS UNBB 53.364 83.539 255.1 19320101 20200624 298430 99999 BAYDAYEVKA RS 53.766999999999996 87.23299999999999 213.0 19350329 19550630 298460 99999 NOVOKUZNETSK RS UNWW 53.733000000000004 87.18299999999999 308.0 19550701 20170615 298480 99999 TOGUL RS 53.467 85.917 272.0 19480101 20090627 298490 99999 KUZEDEEVO RS 53.333 87.167 293.0 19530216 19970328 298540 99999 MEZDURECENSK RS 53.683 88.05 242.0 19600102 19961116 298550 99999 TEBA RS 53.633 88.56700000000001 304.0 19730101 20050108 298560 99999 ASUK RS 53.633 89.45 783.0 19610509 19620823 298580 99999 NEOZIDANNIJ PRIISK RS 53.283 89.167 527.0 19530216 20090523 298620 99999 HAKASSKAJA RS 53.766999999999996 91.31700000000001 256.0 19960701 20070328 298640 99999 UYBAT RS 53.717 90.367 525.0 19480101 20200624 298650 99999 ABAKAN RS UNKA 53.75 91.4 245.0 19330215 20011024 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RS 53.383 97.15 19611025 19620518 298920 99999 HADAMA RS 53.95 98.81700000000001 705.0 19530218 20200624 298940 99999 ALYGDZER RS 53.633 98.21700000000001 918.0 19480101 20010926 299060 99999 USPENKA KZ 52.917 77.417 112.0 19590801 20200624 299150 99999 SLAVGOROD RS 52.967 78.65 126.0 19480101 20200624 299230 99999 REBRIHA RS 53.067 82.3 219.0 19530216 20191225 299250 99999 ZAVYALOVO-IN-ALTAY RS 52.833 80.95 165.0 19530216 20011104 299370 99999 ALEJSKAJA RS 52.516999999999996 82.76700000000001 175.0 19480101 20200624 299390 99999 BIJSK ZONAL'NAYA RS 52.667 84.917 225.0 19320101 20200624 299460 99999 KONDOMA RS 52.867 87.28299999999999 354.0 19530216 20050627 299550 99999 UST-KABIRZA RS 52.817 88.45 416.0 19690101 19950715 299560 99999 TASTYP RS 52.8 89.917 455.0 19480101 20200624 299620 99999 BEJA RS 53.05 90.917 469.0 19530216 20181106 299630 99999 RAZYEZZHEYE RS 53.117 92.45 326.0 19590101 20150624 299730 99999 VERHNI AMIL RS 53.133 94.46700000000001 765.0 19590901 19960405 299740 99999 OLEN' YA RECHKA RS 52.8 93.23299999999999 1398.5 19361231 20200624 299980 99999 ORLIK RS 52.5 99.81700000000001 1376.0 19970101 20200624 299990 99999 ORLIK (MTN STN) RS 52.5 99.81700000000001 1570.0 19480105 19990910 300140 99999 CEMDALSK RS 59.75 103.3 277.0 19591101 20110316 300280 99999 IKA RS 59.283 106.167 352.0 19530216 20200624 300370 99999 NEPA RS 59.25 108.23299999999999 323.0 19550701 20010528 300540 99999 VITIM RS 59.45 112.583 190.0 19340805 20200624 300740 99999 MACHA RS 59.933 117.6 163.8 19590901 20200624 300890 99999 DZHIKIMDA RS 59.016999999999996 121.76700000000001 175.0 19590101 20200624 301020 99999 KEZMA RS 58.967 101.083 185.0 19370101 19960309 301170 99999 UST-ILIMSK RS 58.2 102.75 401.0 19530216 20020421 301270 99999 TOKMA RS 58.233000000000004 105.73299999999999 438.8 19570701 20200624 301350 99999 19870519 19870519 301360 99999 ICHERA RS 58.55 109.76700000000001 234.0 19480101 19840513 301380 99999 CECUJSK RS 58.1 108.68299999999999 245.0 19530216 20020501 301390 99999 PUSHCHINA RS 58.183 109.333 240.0 19811101 19890717 301420 99999 VIZIRNYJ RS 58.883 111.25 227.0 19530216 20140831 301510 99999 VORONCOVKA RS 58.85 112.9 203.0 19480101 20040630 301570 99999 MAMA RS 58.317 112.867 224.0 19530216 20200624 301650 99999 SVETLY RS 58.417 116.01700000000001 422.5 19550322 20150917 301730 99999 TYANYA RS 59.0 119.8 198.5 19590102 20200624 301770 99999 ... RS 58.083 118.25 457.2 19620805 19630324 301980 99999 SUON-TIT RS 58.067 123.71700000000001 416.8 19600108 20200624 302170 99999 NIZHNE-ILIMSK RS 57.183 103.25 19530216 19740112 302190 99999 MAKSIMOVO RS 57.1 105.0 354.0 19560101 20010529 302290 99999 VERHNE-MARKOVO RS 57.333 107.06700000000001 271.0 19530216 19950619 302300 99999 KIRENSK RS UIKK 57.766999999999996 108.06700000000001 258.0 19320101 20200624 302460 99999 GORNO-CUJSKI RS 57.667 111.667 332.0 19550310 20010511 302520 99999 MAMAKAN RS 57.817 114.01700000000001 249.0 20051229 20200624 302530 99999 BODAJBO RS UIKB 57.85 114.2 278.0 19480101 20051228 302550 99999 MAMAKAN RS 57.8 114.083 532.0 19690101 20010704 302630 99999 NICATKA RS 57.833 117.667 562.0 19600114 20020112 303050 99999 19740425 19740926 303070 99999 BRATSK RS 56.367 101.7 489.0 20040706 20090225 303090 99999 BRATSK RS UIBB 56.371 101.698 490.7 19340202 20200624 303120 99999 ILIMSK RS 56.766999999999996 103.833 274.9 19530216 19730626 303170 99999 ZAJARSK RS 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19951025 375370 99999 TSALKA GG 41.6 44.083 1458.0 19590101 19940704 375390 99999 TETRI-TSKARO GG 41.55 44.467 1140.0 19590101 19940822 375410 99999 MUHRANI GG UGMM 41.933 44.583 551.0 19590101 20200624 375450 99999 TBILISI GG 41.667 44.95 495.0 19320101 20081231 375490 99999 TBILISI / LOCHINI AIRPORT GG UGGG 41.75 44.766999999999996 427.0 19590101 20200624 375491 99999 MESTIA GG UGMS 43.068999999999996 42.754 2700.0 20110207 20200624 375530 99999 TELAVI GG UG25 41.933 45.512 542.0 19590101 20170101 375560 99999 SAGAREDZO GG 41.733000000000004 45.333 806.0 19590101 20040331 375630 99999 KVARELI GG 41.967 45.833 449.0 19730101 20141029 375660 99999 GURDZHAANI GG 41.75 45.8 410.0 19590101 20040404 375690 99999 CNORI GG 41.583 45.983000000000004 294.0 19590101 20020912 375720 99999 LAGODEHI GG 41.817 46.3 435.0 19590101 20030704 375750 99999 ZAKATALA AJ UBBY 41.667 46.65 490.0 19480101 20200624 375770 99999 CNORIS GG 41.6 46.05 291.0 19760401 19940510 375780 99999 DANACHY AJ 41.55 46.417 213.0 19861015 19940907 375970 99999 KASUMKENT RS 41.667 48.05 477.0 19591003 19600112 376020 99999 AKHALQALAQI GG 41.417 43.483000000000004 1716.0 19590708 20141029 376030 99999 RADIONOVKA GG 41.483000000000004 43.867 2100.0 19590101 20031231 376090 99999 ASHOTSK AM 41.028999999999996 43.876000000000005 2015.0 20060128 20200624 376180 99999 TASHIR AM 41.117 44.283 1509.0 19590101 20020411 376210 99999 BOLNISI GG 41.45 44.55 534.0 19590101 20200624 376270 99999 ODZUN AM 41.05 44.633 1110.0 19610207 19790322 376320 99999 GARDABANI GG 41.45 45.1 303.0 19590101 20020810 376330 99999 UDABNO (MOUNT) GG 41.516999999999996 45.383 750.0 19590101 19941006 376360 99999 JEYRANCHEL AJ 41.3 45.467 421.0 20170118 20200619 376370 99999 ... AM 41.016999999999996 45.15 19610705 19610730 376390 99999 AGSTAPHA AIRPORT AJ 41.133 45.417 333.0 19550101 20150509 376420 99999 TOVUZ AJ 41.1 43.55 333.0 20200619 20200619 376510 99999 DEDOPLISTSKARO GG 41.467 46.083 801.0 19590101 20141029 376610 99999 SHAKI AJ 41.217 47.167 641.0 19590101 20200119 376630 99999 AHTY RS 41.467 47.75 1015.0 19590101 20200624 376680 99999 OGUZ AJ 41.067 47.467 598.0 20070226 20150630 376730 99999 KHACHMAZ AERODROME AJ 41.417 48.883 27.0 19590101 20150630 376750 99999 GUBA AJ 41.367 48.516999999999996 552.0 19590101 20200624 376760 99999 KHINALIG AJ 41.183 48.133 2305.0 20070219 20150815 376770 99999 KHALTAN AJ 41.0 48.7 1107.0 20070226 20070226 376820 99999 AMASIA AM 40.95 43.783 1866.0 19590101 20200624 376830 99999 DZADZUR AM 40.867 43.95 1798.0 19800517 20040603 376860 99999 GUMRI AM 40.783 43.833 1512.0 19480101 19900804 376930 99999 STEPANAVAN AM 41.0 44.367 1400.0 19730101 19980821 376950 99999 SPITAK AM 40.833 44.266999999999996 1555.0 19590101 19800307 376990 99999 APARAN AM 40.533 44.383 1892.0 19590101 20200624 377040 99999 VANADZOR AM 40.817 44.43600000000001 1376.0 19590828 20200624 377060 99999 DILIJAN AM 40.75 44.867 1255.0 19590119 19780601 377080 99999 SEMYONOVKA AM 40.65 44.9 2097.0 19590101 19951118 377090 99999 SEVAN AM 40.55 44.933 1937.0 19590128 20031011 377110 99999 IDJEVAN AM 40.867 45.15 733.0 19590114 20200624 377130 99999 BERD AM 40.917 45.467 697.0 19610219 19810404 377170 99999 SEVAN OZERO AM 40.567 45.0 1917.0 20010916 20200624 377190 99999 TCHAMBARAK AM 40.593 45.356 1852.8 19590101 19950427 377290 99999 GADABAY AJ 40.683 45.817 1476.0 19590101 20200119 377340 99999 SHAMKIR AJ 40.833 46.033 410.0 20070614 20141201 377350 99999 GANDJA AJ 40.717 46.417 311.0 19320101 20200624 377351 99999 MAYKOP RS 44.65 40.1 679.0 20080101 20081231 377352 99999 UYTASH RS URML 42.817 47.652 3.7 20040706 20200624 377400 99999 QABALA AJ 40.983000000000004 47.867 682.0 19590101 20200119 377440 99999 MINGACHEVIR AJ 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OITR 37.668 45.068999999999996 1324.1 19491101 20200624 407125 99999 JAM IR OIBJ 27.82 52.352 662.0 20090219 20200624 407126 99999 LAVAN ISLAND IR OIBV 26.81 53.356 22.3 20090313 20200624 407127 99999 DEZFUL IR OIAD 32.434 48.398 144.5 20090214 20170916 407130 99999 MARAGHEH IR OITM 37.35 46.167 1478.0 19910907 20200624 407160 99999 MEYANEH IR 37.45 47.7 1110.0 20050817 20200624 407180 99999 ANZALI IR 37.467 49.467 -26.0 19320102 20200624 407190 99999 RASHT IR OIGG 37.325 49.606 -12.2 19730101 20200624 407200 99999 BOGUS IRANIAN IR 49.317 10.667 141.7 19890208 20040118 407210 99999 MARAVEH-TAPPEH IR 37.9 55.95 460.0 20010824 20200624 407230 99999 BOJNORD IR OIMN 37.493 57.308 1079.9 19771201 20200624 407260 99999 MOHABAD IR 36.766999999999996 45.717 1385.0 19890101 20200624 407270 99999 SAGHEZ IR OITS 36.25 46.266999999999996 1493.0 19730101 20200624 407290 99999 ZANJAN IR OITZ 36.774 48.358999999999995 1640.4 19730101 20200624 407300 99999 IMAM KHOMEINI INTL IR OIIE 35.416 51.152 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36.235 59.641000000000005 994.6 19440103 20200624 407460 99999 KASHAFRUD IR 35.983000000000004 60.833 584.0 20020723 20160411 407470 99999 SANANDAJ IR OICS 35.247 47.00899999999999 1378.3 19730101 20200624 407540 99999 MEHRABAD INTL IR OIII 35.689 51.313 1207.6 19431101 20200624 407550 99999 VARAMIN IR 35.35 51.683 950.0 20020605 20110402 407560 99999 GARMSAR IR 35.25 52.167 900.0 20020306 20160308 407570 99999 SEMNAN IR OIIS 35.591 53.495 1117.1 19730101 20200624 407620 99999 TORBAT-HEYDARIEH IR OIMH 35.266999999999996 59.217 1451.0 19730101 20200624 407630 99999 KASHMAR IR 35.2 58.467 1109.0 19490702 20200624 407650 99999 GHASRE-SHIRIN IR OICG 34.516999999999996 45.583 378.0 19761101 20080927 407660 99999 SHAHID ASHRAFI ESFAHANI IR OICC 34.346 47.158 1305.8 19570701 20200624 407670 99999 NOWJEH IR 35.2 48.683 1679.0 19570701 20110802 407680 99999 HAMEDAN IR 34.85 48.533 1749.0 19961201 20081231 407690 99999 ARAK IR OIHR 34.138000000000005 49.847 1661.8 19431018 20200624 407700 99999 GHOM/QOM IR 34.65 50.9 928.0 20160307 20160418 407720 99999 KERMANSHAN IR 34.317 47.083 1295.4 19481101 19530731 407780 99999 KAUPBEUREN GQ 47.867 10.617 216.1 19500103 19530722 407800 99999 ILAM IR 33.633 46.433 1337.0 19890102 20081231 407801 99999 MAHSHAHR IR OIAM 30.555999999999997 49.152 2.4 20040511 20200624 407802 99999 KISH ISLAND IR 26.517 53.983000000000004 31.0 20040511 20200624 407803 99999 SIRRI ISLAND IR 25.9 54.533 13.0 20040511 20200624 407804 99999 ILAM IR 33.583 46.4 1368.0 20040511 20200624 407805 99999 KHORAM ABAD IR 33.433 48.283 1184.0 20040511 20200624 407806 99999 HAMADAN IR 34.867 48.55 1801.0 20040511 20200624 407807 99999 PAYAM IR OIIP 35.775999999999996 50.827 1271.0 20040511 20200624 407808 99999 DAYRESTAN IR OIKQ 26.750999999999998 55.898 12.5 20040511 20200624 407809 99999 SARAKHS IR 36.5 61.067 295.0 20040511 20200624 407810 99999 ASALOYEH IR OIBI 27.480999999999998 52.61600000000001 3.0 20040921 20040922 407820 99999 KHORRAM ABAD IR 33.433 48.283 1148.0 19730101 20081231 407821 99999 BABULSAR IR 36.717 52.65 -21.0 20040511 20081220 407822 99999 NOSHAHR IR 36.65 51.467 -19.0 20040511 20200624 407823 99999 LAR IR OISL 27.674 54.383 792.5 20040511 20200624 407824 99999 YASOUJ IR 30.683000000000003 51.55 1871.0 20040511 20200624 407825 99999 ARDABIL IR 38.317 48.417 1348.0 20040511 20200624 407826 99999 SARI DASHT E NAZ IR OINZ 36.635999999999996 53.193999999999996 10.7 20050724 20200624 407830 99999 ALI-GOODARZ IR 33.4 49.683 2034.0 19910919 20200624 407850 99999 KASHAN IR OIFK 33.895 51.577 1056.1 19730101 20200624 407890 99999 KHOR IR 33.783 55.083 845.0 19891203 20200624 407910 99999 TABAS IR OIMT 33.668 56.893 704.7 19651003 20200624 407920 99999 FERDOUS IR 34.016999999999996 58.167 1293.0 19910601 20200624 407940 99999 SAFI-ABAD DEZFUL IR 32.266999999999996 48.417 83.0 19961201 20200624 407950 99999 DEZFUL IR 32.4 48.383 152.0 19431120 20040902 407980 99999 SHAHRE KORD IR OIFS 32.297 50.842 2049.2 19730101 20200624 408000 99999 ESFAHAN SHAHID BEHESHTI INTL IR OIFM 32.751 51.861999999999995 1545.9 19480901 20200624 408020 99999 ESFAHAN/KHATAMI IR 32.667 51.867 1543.0 20041001 20160308 408080 99999 SAR-E-YEZD IR 31.583000000000002 54.7 1245.0 19520410 19530730 408090 99999 BIRJAND IR OIMB 32.898 59.266000000000005 1509.4 19630121 20200624 408110 99999 AHWAZ IR OIAW 31.337 48.762 20.1 19730101 20200624 408120 99999 SHAHID ASYAEE IR OIAI 32.001999999999995 49.271 361.8 19730101 20200624 408180 99999 ABADEH IR OISA 31.183000000000003 52.667 2004.0 19771201 20200624 408190 99999 KERMAN EAST IR 30.35 57.167 1991.0 19490501 19530720 408200 99999 BOGUS IRANIAN IR 19890212 20021216 408210 99999 YAZD SHAHID SADOOGHI IR OIYY 31.905 54.277 1235.7 19570701 20200624 408230 99999 ZAWIDAN IR 29.5 60.883 1438.4 19490301 19530731 408260 99999 BOGUS IRANIAN IR 19890103 20040323 408270 99999 NEHBANDAN IR 31.533 60.033 1211.0 19900102 20200624 408290 99999 ZABOL IR OIZB 31.098000000000003 61.544 496.2 19660101 20200624 408300 99999 OMIDIEH IR 30.75 49.7 19.0 19940303 20170708 408310 99999 ABADAN IR OIAA 30.371 48.228 3.0 19431130 20200624 408320 99999 ABAMUSA ISLAND IR 25.883000000000003 55.016999999999996 1.0 19730101 20160308 408330 99999 AGHAJARI IR OIAG 30.745 49.676 26.8 19730101 20200624 408350 99999 GACHSARAN IR OIAH 30.338 50.828 729.7 19730101 20200624 408351 99999 ABUMUSA ISLAND IR 25.866999999999997 55.033 7.0 20040901 20200624 408352 99999 MALAYER IR OIHM 34.28 48.82 1725.0 20050315 20191125 408353 99999 BOROUJERD IR OICJ 34.9 48.63 1600.0 20050315 20191125 408354 99999 MINAB IR OIKO 27.12 57.1 27.0 20050315 20191125 408355 99999 GONABAD IR OIMD 34.35 58.68 1056.0 20050315 20200624 408356 99999 MAKU IR OITU 39.33 44.43 1411.0 20080101 20200621 408357 99999 KERMANSHAH IR OIGK 34.28 47.12 1322.0 20050315 20191125 408358 99999 JIROFT IR OIKJ 28.726999999999997 57.67 805.6 20070822 20080625 408359 99999 RAFSANJAN IR OIKR 30.298000000000002 56.051 1614.8 20071122 20200624 408360 99999 YASOGE IR 30.666999999999998 51.583 1837.0 19900203 20081231 408361 99999 PERSIAN GULF AIRPORT IR OIBP 27.366999999999997 52.733000000000004 8.0 20051112 20200624 408410 99999 KERMAN IR OIKK 30.274 56.951 1748.3 19570701 20200624 408420 99999 SHIRAZ IR 29.616999999999997 52.55 1530.1 19490301 19530730 408450 99999 KHARG IR OIBQ 29.267 50.266999999999996 3.0 19730101 20200624 408460 99999 BUSHEHR IR 28.983 50.833 14.0 19570701 19741231 408480 99999 SHIRAZ SHAHID DASTGHAIB INTL IR OISS 29.539 52.589 1499.6 19570701 20200624 408510 99999 SIRJAN IR 29.467 55.717 1739.0 19890101 20200624 408530 99999 BAFT IR 29.233 56.567 2280.0 19490108 20200624 408540 99999 BAM IR OIKM 29.084 58.45 940.0 19660101 20200624 408560 99999 ZAHEDAN INTL IR OIZH 29.476 60.907 1377.7 19570701 20200624 408570 99999 BUSHEHR IR 28.95 50.85 8.0 19961201 20171231 408580 99999 BUSHEHR IR OIBB 28.945 50.835 20.7 19440101 20200624 408590 99999 FASA IR OISF 28.892 53.723 1298.8 19730101 20200624 408690 99999 FARSI ISLAND IR 27.983 50.183 4.0 19751101 20111222 408720 99999 BANDAR-E-DAYYER IR 27.833000000000002 51.933 4.0 20060913 20200624 408750 99999 BANDAR ABBASS INTL IR OIKB 27.218000000000004 56.378 6.7 19650106 20200624 408770 99999 KAHNUJ IR 27.967 57.7 470.0 19890127 20200624 408780 99999 SARAVAN IR 27.333000000000002 62.333 1195.0 19900323 20200624 408785 99999 KHASH IR OIZK 28.217 61.2 1394.0 20080116 20081120 408790 99999 IRAN SHAHR IR OIZI 27.236 60.72 620.9 19730101 20200624 408820 99999 KISH ISLAND IR 26.5 53.983000000000004 30.0 19940302 20081231 408830 99999 BANDAR LENGEH IR OIBL 26.531999999999996 54.825 20.4 19730101 20200624 408890 99999 SIRI ISLAND IR 25.866999999999997 54.483000000000004 4.0 19890101 20081231 408900 99999 ABU MUSA IR 25.833000000000002 54.833 6.0 19760309 20081231 408930 99999 JASK IR OIZJ 25.654 57.799 5.8 19440102 20200624 408970 99999 KONARAK IR 25.433000000000003 60.367 10.0 19940502 20081231 408980 99999 CHAHBAHAR IR 25.283 60.617 8.0 19660101 20200624 409000 99999 DARWAZ 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SA 21.416999999999998 39.217 10.0 19910605 20050729 410240 99999 KING ABDULAZIZ INTL SA OEJN 21.68 39.157 14.6 19830101 20200624 410260 99999 JEDDAH SA OEJD 21.5 39.2 15.0 19560101 20061026 410300 99999 MAKKAH SA 21.433000000000003 39.766999999999996 240.0 19830701 20190718 410310 99999 MINA SA 21.416999999999998 39.867 394.0 20050112 20180825 410320 99999 ARAFAT SA 21.333000000000002 39.967 308.0 20041109 20200624 410350 99999 AL-HADA SA 21.333000000000002 40.266999999999996 2089.0 19910501 20031110 410360 99999 TAIF SA OETF 21.483 40.544000000000004 1477.7 19830101 20200624 410550 99999 AL BAHA SA OEBA 20.296 41.63399999999999 1672.1 19830201 20200624 410600 99999 WADI AL-DAWASSER SA 20.433 44.683 701.0 20160406 20160406 410610 99999 WADI AL DAWASIR SA OEWD 20.504 45.2 628.5 19900401 20200624 410620 99999 SULAYEL SA 20.467 45.667 614.0 19830101 19900614 410800 99999 AL-QUNFUDAH SA 19.117 41.083 0.0 19910605 20071118 410840 99999 BISHA SA OEBH 19.984 42.621 1184.8 19830101 20200624 411070 99999 19870518 19870518 411120 99999 ABHA SA OEAB 18.24 42.657 2090.3 19830101 20200624 411140 99999 KING KHALED AB SA OEKM 18.297 42.803999999999995 2065.9 19830101 20200624 411280 99999 NEJRAN SA OENG 17.611 44.419 1213.7 19830101 20200624 411360 99999 SHARURAH SA OESH 17.467 47.121 720.2 19830101 20200624 411363 99999 SHARURAH (CIV/MIL)& SA 17.45 47.15 720.0 19850405 19910707 411400 99999 KING ABDULLAH BIN ABDULAZIZ SA OEGN 16.901 42.586000000000006 6.1 19830101 20200624 411410 99999 GIZAN SA 16.9 42.533 5.0 19910601 20050726 411500 99999 BAHRAIN INTL BA OBBI 26.271 50.63399999999999 1.8 19440101 20200624 411510 99999 JARIM BA 26.483 50.583 3.0 20061106 20061106 411520 99999 HAWAR ISLAND BA 25.717 50.783 2.0 20140730 20140730 411540 99999 JABAL AL DUKHAN BA 26.033 50.533 135.0 20100727 20110301 411550 99999 F1 (FORMULA 1) BA 26.017 50.5 5.0 20051001 20051001 411560 99999 RAS AL BAR BA 25.85 50.55 2.0 20080925 20101231 411600 99999 AI RUWAIS QA 26.15 51.2 6.0 20111201 20200624 411610 99999 AL KHOR AIRPORT QA 25.616999999999997 51.516999999999996 11.0 20111201 20190528 411620 99999 AL SHEHAIMIYA QA 25.85 50.967 2.0 20111201 20150331 411640 99999 AL GUWAYRIYAH QA 25.833000000000002 51.266999999999996 19.0 20111201 20150401 411670 99999 DUKHAN QA 25.4 50.75 5.0 20111201 20200624 411680 99999 DOHA PORT QA 25.3 51.55 4.0 19830101 20190301 411700 99999 DOHA INTL QA OTBD 25.261 51.565 10.7 19830101 20200624 411703 99999 DOHA QA OTHH 25.267 51.6 4.0 20140513 20200624 411705 99999 AL UDEID AB QA OTBH 25.116999999999997 51.315 39.6 20050101 20200624 411710 99999 QATAR UNIVERSITY QA 25.383000000000003 51.483000000000004 12.0 20111201 20170425 411730 99999 AL WAKRAH QA 25.183000000000003 51.617 5.0 20111201 20150401 411750 99999 AL KARANA QA 25.0 51.033 49.0 20111201 20150401 411760 99999 UMM SAID QA 24.95 51.567 5.0 19840101 20200624 411770 99999 TURAYNA QA 24.717 51.217 41.0 20111201 20150401 411780 99999 ABU SAMRA QA 24.75 50.817 8.0 20111201 20200624 411840 99999 RAS AL KHAIMAH INTL AE OMRK 25.613000000000003 55.93899999999999 31.1 19830101 20200624 411940 99999 DUBAI INTL AE OMDB 25.255 55.364 10.4 19830101 20200624 411945 99999 AL MAKTOUM INTL AIRPORT AE 24.886 55.172 18.9 20100518 20200624 411946 99999 ZIRKU AE OMAZ 24.862 53.078 4.3 20100706 20140221 411960 99999 SHARJAH INTL AE OMSJ 25.329 55.516999999999996 33.8 19440320 20200624 411980 99999 FUJAIRAH INTL AE OMFJ 25.112 56.324 46.3 19881102 20200624 412160 99999 BATEEN AE OMAD 24.428 54.458 4.9 19830101 20200624 412161 99999 AL HAMRA AUX AE OMAH 24.074 52.464 15.2 20080721 20190714 412162 99999 AL DHAFRA AE OMAM 24.248 54.548 23.2 20080721 20190714 412163 99999 DELMA AE OMDL 24.51 52.335 25.0 20080721 20190822 412164 99999 DUBAI MINHAD AB AE OMDM 25.026999999999997 55.36600000000001 50.3 20080721 20190714 412165 99999 SIR ABU NAIR AE OMSN 25.217 54.233999999999995 7.0 20100131 20190714 412170 99999 ABU DHABI INTL AE OMAA 24.433000000000003 54.651 26.8 19830102 20200624 412180 99999 AL AIN INTL AE OMAL 24.261999999999997 55.608999999999995 264.9 19940308 20200624 412260 99999 MEDINA ZAYED AE 23.633000000000003 53.633 130.0 20011004 20030601 412265 99999 BUHASA AE OMAB 23.616999999999997 53.383 94.0 19950101 20111111 412400 99999 KHASAB PORT MU 26.217 56.25 4.0 19830101 20200624 412410 99999 KHASAB AIRPORT MU 26.166999999999998 56.233000000000004 29.0 20080101 20151218 412420 99999 DIBA MU 25.616999999999997 56.25 10.0 20010705 20200624 412440 99999 BURAIMI (AUT) MU OOBR 24.233 55.783 299.0 19830101 20200624 412460 99999 SOHAR MAJIS MU 24.467 56.65 2.0 19830101 20200624 412490 99999 QUMAIRA MU 23.933000000000003 56.2 633.0 20130101 20190530 412500 99999 SUNAYNAH MU 23.717 55.9 257.0 20130101 20190530 412520 99999 IBRI MU 23.233 56.433 327.0 20011108 20200624 412530 99999 RUSTAQ MU 23.416999999999998 57.433 322.0 20010712 20200624 412540 99999 SAIQ MU OOSQ 23.066999999999997 57.633 1755.0 19830101 20190530 412550 99999 NIZWA MU 22.866999999999997 57.55 462.0 20010916 20200624 412560 99999 SEEB INTL MU OOMS 23.593000000000004 58.284 14.6 19440101 20200624 412570 99999 SAMAIL MU 23.254 57.928000000000004 417.0 20010707 20190530 412580 99999 MINA SULTAN QABOOS MU 23.633000000000003 58.567 3.0 19830101 20190530 412590 99999 JABAL SHAMS MU 23.233 57.266999999999996 2764.0 20050303 20190515 412620 99999 FAHUD (AUT) MU OOFD 22.35 56.483000000000004 170.0 19870211 20190530 412630 99999 BAHLA MU 22.912 57.257 592.0 20010915 20190530 412640 99999 ADAM AIRPORT MU 22.5 57.367 328.0 20010705 20190530 412650 99999 IBRA MU 22.809 58.461000000000006 469.0 20010915 20200624 412660 99999 IBRA MU 22.633000000000003 58.667 1100.0 20010713 20190530 412670 99999 QALHAT MU 22.666999999999998 59.4 11.0 20010716 20190530 412680 99999 SUR MU OOSR 22.533 59.483000000000004 14.0 19830101 20200624 412700 99999 RAS AL HADD MU 22.3 59.817 43.0 20050315 20190530 412720 99999 SUWAIQ MU 23.816999999999997 57.283 39.0 20130101 20190530 412740 99999 GHABA CENTRAL/PRI MU 21.383000000000003 57.05 135.0 20140707 20190530 412750 99999 QARN ALAM MU 21.383000000000003 57.05 133.0 20010802 20190530 412760 99999 UMZAMAIM MU 20.8 57.117 126.0 20130101 20190530 412800 99999 AL AMERAT MU 23.5 58.483000000000004 105.0 20130101 20190530 412870 99999 JOBA MU 20.866999999999997 58.25 34.0 20050303 20200213 412880 99999 MASIRAH MU OOMA 20.675 58.89 19.5 19430510 20190530 412900 99999 DUQM MU 19.617 57.633 40.0 20050619 20190530 412910 99999 DUQM AIRPORT MU 19.517 57.65 102.0 20130613 20200624 412920 99999 AL MUDHAIBI MU 22.517 58.117 378.0 20140707 20190530 412930 99999 BIDIYA MU 22.467 58.85 316.0 20130101 20190530 412940 99999 HAIMA MU 19.967 56.266999999999996 122.0 19830801 20030408 412950 99999 YAALONI MU 19.95 57.1 156.0 20071024 20190609 412960 99999 DUQM & MU 19.75 57.633 0.0 19831106 19900316 413010 99999 HAIMA MU 20.05 56.383 146.0 20130101 20200624 413040 99999 MARMUL MU 18.133 55.183 273.0 19870406 20190530 413120 99999 MINA SALALAH MU 16.933 54.016999999999996 25.0 19830101 20190530 413130 99999 JABAL NOOS MU 17.25 55.233000000000004 706.0 20130101 20130319 413140 99999 THUMRAIT MU OOTH 17.666 54.025 478.5 19830101 20190530 413150 99999 QAIROON HAIRITI MU 17.25 54.083 881.0 20010814 20190530 413160 99999 SALALAH MU OOSA 17.039 54.091 22.3 19430413 20200624 413240 99999 SAADA & YM OYSH 16.967 43.717 1890.0 19831122 20030409 413243 99999 SA'ADA & YM OYSH 16.967 43.717 1890.0 19970123 19970509 413253 99999 BOGUS YEMEN YM OYJA 19880320 19900226 413260 99999 AL-HAZM YM OYZM 16.2 44.783 1900.0 19840402 20030202 413410 99999 ABBS YM OYAS 16.083 43.167 2000.0 20080722 20130930 413440 99999 SANA'A (CIV/MIL) YM 15.517000000000001 44.183 2190.0 19830101 20011103 413500 99999 MARIB YM 15.433 45.333 1000.0 19730101 20081231 413580 99999 JUMEISHA YM 14.717 43.067 38.0 20020605 20020605 413600 99999 HODEIDAH (CIV/MIL) YM 14.75 42.967 115.0 19830101 20141002 413720 99999 SAADA YM 17.033 43.766999999999996 1890.0 20030331 20081231 413780 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20030215 414280 99999 AL-GHAIDAH YM 16.083 52.083 42.0 19861006 19941011 414300 99999 KAMARAN ISLAND YM 15.367 42.583 15.0 19830120 20030714 414310 99999 HODEIDAH YM OYHD 14.753 42.976000000000006 12.5 19920301 20170208 414340 99999 DHAMAR YM OYDM 14.583 44.417 2425.0 20030331 20170208 414360 99999 SEIYOUN & YM 15.982999999999999 48.95 580.0 19830108 20010713 414363 99999 SAYUN YM 15.967 48.783 656.0 19881223 20170208 414365 99999 AI-GHAIDAH YM 16.083 52.083 42.0 20080103 20081113 414370 99999 ATAQ YM OYAT 14.550999999999998 46.826 1097.3 19920301 20170208 414380 99999 AL SADDAH YM 14.133 44.367 2692.0 20111201 20161216 414430 99999 RIYAN YM OYRN 14.663 49.375 16.5 19920301 20150326 414440 99999 ATAQ & YM 14.517000000000001 46.85 1097.0 19881201 20020826 414480 99999 RIYAN YM 14.583 49.25 25.0 19830108 19940503 414520 99999 IBB YM OYIB 14.0 44.333 1920.0 20010916 20170208 414660 99999 GANED YM OYTZ 13.686 44.138999999999996 1402.1 19920301 20150326 414670 99999 ADEN KHORMAKSAR YM 12.833 45.033 3.0 19430413 19931025 414770 99999 MOKHA YM 13.25 43.283 3.0 19920301 20020529 414800 99999 ADEN YM OYAA 12.833 45.033 3.0 19920301 20180122 414820 99999 SAHAREEG YM 12.783 45.167 0.0 20111201 20140622 414940 99999 SOCOTRA YM 12.633 53.9 47.0 19920303 20200323 414990 99999 SOCOTRA ISLAND YM 12.633 53.9 45.0 19900201 19920701 415040 99999 GUPIS PK 36.167 73.4 2156.0 20051001 20200601 415050 99999 HUNZA PK 36.317 74.65 2374.0 20081029 20180129 415060 99999 CHITRAL PK 35.85 71.833 1500.0 19730101 20140207 415070 99999 MET OBSERVATORY TIMERGARA / DIR LOWER PK 34.833 71.817 786.0 20081029 20180129 415080 99999 DIR PK 35.2 71.85 1370.0 19800309 20200624 415090 99999 MIR KHANI PK 35.5 71.7 1250.0 20061003 20180129 415100 99999 KALAM PK 35.833 72.983 2123.0 20050727 20180129 415150 99999 DROSH PK 35.567 71.783 1465.0 19440101 20200624 415160 99999 GILGIT PK OPGT 35.919000000000004 74.334 1457.2 19730401 20191015 415170 99999 SKARDU PK OPSD 35.336 75.536 2316.5 19440101 20191016 415180 99999 BUNJI PK 35.667 74.633 1470.0 20040806 20191015 415190 99999 CHILLAS PK 35.417 74.1 1251.0 20050728 20191015 415195 99999 TURBAT INTL PK 25.983 63.033 152.0 20050727 20191015 415200 99999 ASTORE PK 35.367 74.9 2168.0 20050727 20191015 415205 99999 CHITRAL PK 35.883 71.8 1494.0 20050727 20200624 415215 99999 DERA GHAZI KHAN PK 29.967 70.483 148.0 20050727 20191011 415225 99999 MUZAFFARABAD PK 34.333 73.517 831.0 20050727 20191015 415230 99999 SAIDU SHARIF PK 34.733000000000004 72.35 951.0 19740730 20081231 415235 99999 SAIDU SHARIF PK 34.817 72.35 970.0 20050101 20200624 415240 99999 PATTAN PK 35.1 73.0 752.0 20081029 20180129 415250 99999 MALAM JABBA PK 34.75 72.9 2652.0 20070116 20180731 415260 99999 BABUSAR PK 35.217 74.1 2854.0 20151007 20151007 415280 99999 LANDIKOTAL PK 34.1 71.133 1067.0 19730101 19791113 415281 99999 LANDIKOTAL PK 34.1 71.133 1068.0 20090101 20111022 415300 99999 PESHAWAR PK 34.016999999999996 71.583 360.0 19440101 20200624 415310 99999 BATTAL PK 34.583 73.15 1676.0 19730815 20030111 415320 99999 MUZAFFAR ABAD PK 34.367 73.483 2303.0 19730103 20081015 415330 99999 RISALPUR PK OPRS 34.080999999999996 71.973 320.0 19730101 20191015 415350 99999 KAKUL PK 34.183 73.25 1309.0 19730101 20200624 415360 99999 BALAKOT PK 34.383 73.35 981.0 19980301 20200624 415600 99999 PARACHINAR PK 33.867 70.083 1726.0 19440101 20200624 415620 99999 BANNU* PK 33.0 70.1 406.0 20081029 20081130 415640 99999 KOHAT PK 33.567 71.433 513.0 19730101 20191015 415650 99999 CHERAT PK 33.817 71.883 1372.0 19440101 20191015 415690 99999 CAMPBELLPUR PK 33.766999999999996 72.367 357.0 19730103 19730619 415710 99999 CHAKLALA PK OPRN 33.617 73.09899999999999 508.4 19440101 20200624 415720 99999 HARIPUR PK 33.983000000000004 72.917 535.0 19730107 19781008 415730 99999 MURREE PK 33.917 73.383 2127.0 19440101 20200624 415740 99999 RAWALAKOT* PK 33.85 73.8 1677.0 20081029 20081130 415760 99999 MANGLA* PK 33.067 73.633 283.0 20081130 20081130 415770 99999 ISLAMABAD CITY PK 33.717 73.1 525.0 20050727 20191015 415840 99999 MIRANSHAH AIRPORT PK 32.983000000000004 70.117 921.0 19440102 20031024 415900 99999 KHUSHAB PK 32.3 72.35 186.0 19540101 20020522 415920 99999 MIANWALI PK OPMI 32.563 71.571 210.3 19440101 20200422 415925 99999 SUKKUR PK OPSK 27.721999999999998 68.792 58.2 20050107 20191011 415930 99999 SARGODHA PK 32.05 72.667 187.0 20040812 20161227 415940 99999 SARGODHA PK OPSR 32.05 72.667 188.0 19730101 20200624 415970 99999 MANDI BAHAUDDIN PK 32.583 73.5 253.0 20050727 20180129 415980 99999 JHELUM PK 32.933 73.717 234.0 19730101 20200624 415990 99999 SIALKOT PK OPST 32.5 74.533 255.0 20090104 20200309 416000 99999 SIALKOT PK OPST 32.5 74.533 256.0 19440101 20200624 416200 99999 ZHOB PK OPZB 31.358 69.464 1417.3 19440101 20200624 416240 99999 D I KHAN PK OPDI 31.909000000000002 70.89699999999999 181.1 19440101 20200624 416300 99999 FAISALABAD PK 31.433000000000003 73.1 184.0 19440101 20200624 416360 99999 JHANG PK 31.267 72.317 153.0 20050803 20180129 416380 99999 TOBA TEK SINGH PK 30.983 72.467 156.0 20081029 20180129 416400 99999 LAHORE CITY PK OPLH 31.55 74.333 215.0 19440101 20200624 416410 99999 ALLAMA IQBAL INTL PK OPLA 31.522 74.404 217.0 19761201 20191015 416460 99999 OKARA PK 30.8 73.433 180.0 20081029 20081130 416520 99999 DERA GHAZI KHAN PK 30.05 70.633 125.0 19730101 20081130 416580 99999 19570201 19631029 416600 99999 QUETTA PK OPQT 30.250999999999998 66.938 1600.2 19440101 20200624 416610 99999 QUETTA (SHEIKH MANDA) PK 30.267 66.917 1621.0 19730101 20180131 416620 99999 QILA SAIFULLAH PK 30.75 67.867 1801.0 19570201 19631029 416630 99999 19440101 19471230 416711 99999 LAYYAH PK 31.017 70.967 151.0 20160513 20180129 416720 99999 RAFIQUI PK 30.783 72.2 150.0 19750905 20191015 416750 99999 MULTAN INTL PK OPMT 30.203000000000003 71.419 121.9 19440101 20200624 416780 99999 BAHAWALNAGAR PK 29.95 73.25 163.0 19730101 20200624 416800 99999 19440101 19481231 416850 99999 BAR KHAN PK 29.883000000000003 69.717 1098.0 19730620 20200624 416960 99999 KALAT PK 29.033 66.583 2017.0 19440101 20200624 416970 99999 SIBI PK OPSB 29.55 67.883 134.0 19570201 20200624 417000 99999 BAHAWALPUR PK OPBW 29.4 71.783 113.0 19440101 20200624 417010 99999 BAHAWALPUR PK 29.4 71.783 117.0 20090519 20191011 417100 99999 NOKKUNDI PK 28.816999999999997 62.75 683.0 19440102 20200624 417120 99999 DAL BANDIN PK 28.883000000000003 64.4 850.0 19440101 20200624 417150 99999 SHAHBAZ AB PK OPJA 28.284000000000002 68.45 56.4 19440101 20200624 417160 99999 SHEIKH ZAYED PK OPRK 28.384 70.28 82.6 20081029 20200323 417170 99999 19570803 19631029 417180 99999 KHANPUR PK 28.65 70.683 88.0 19440101 20200624 417250 99999 ROHRI PK 27.666999999999998 68.9 68.0 19570201 20200624 417380 99999 TURBAT PK 26.017 63.067 154.0 20081001 20081029 417390 99999 PANJGUR PK OPPG 26.955 64.133 1002.5 19440115 20200624 417420 99999 LASBELLA PK 26.23 66.17 87.0 19570201 20180129 417430 99999 DADU PK 26.717 67.767 40.0 19730111 19740118 417440 99999 KHUZDAR PK 27.833000000000002 66.633 1232.0 19730101 20200624 417450 99999 SAKRAND AGROMET OBSERVATORY PK 25.133000000000003 68.267 11.0 20180129 20180129 417460 99999 PADIDAN PK 26.85 68.133 47.0 19440101 20200624 417470 99999 MOENJODARO PK OPMJ 27.335 68.143 50.9 20151214 20191011 417480 99999 LARKANA PK 27.533 68.233 53.0 20050727 20130310 417490 99999 NAWABSHAH PK OPNH 26.219 68.39 28.3 19550101 20200624 417560 99999 JIWANI PK OPJI 25.068 61.805 58.0 19440101 20200624 417570 99999 GWADAR PK OPGD 25.233 62.32899999999999 29.3 20050728 20191015 417590 99999 PASNI PK OPPI 25.29 63.343999999999994 3.7 19440101 20200624 417600 99999 ORMARA PK OPOR 25.273000000000003 64.58800000000001 19.0 19440101 20191011 417640 99999 HYDERABAD AIRPORT PK OPKD 25.383000000000003 68.417 41.0 19450228 20200624 417650 99999 HYDERABAD PK 25.383000000000003 68.417 30.0 19570201 19921231 417680 99999 CHHOR PK 25.517 69.783 6.0 19540101 20200624 417690 99999 UNMARKOT PK 25.366999999999997 69.75 17.0 19570201 19631029 417800 99999 JINNAH INTL PK OPKC 24.906999999999996 67.161 30.5 19420506 20200624 417810 99999 MASROOR PK OPMR 24.894000000000002 66.939 10.7 19730101 20191104 417820 99999 KARACHI MANORA PK 24.8 66.983 4.0 19440101 20030328 417850 99999 BADIN PK 24.633000000000003 68.9 11.0 19440101 20200624 417861 99999 M O MITHI PK 24.732 69.798 34.0 20181221 20200212 418500 99999 TETULIA PANCHAGOR BG 26.35 88.6 55.0 20160217 20200624 418520 99999 THAKURGAON BG 26.017 88.4 -999.9 19730107 20050221 418550 99999 ISHURDI BG 24.15 89.03299999999999 14.0 19730409 19811230 418560 99999 RAJSHAHI BG 24.383000000000003 88.6 23.0 19800410 20030210 418580 99999 SAIDPUR BG 25.75 88.917 39.0 19440101 20200624 418590 99999 RANGPUR BG 25.733 89.23299999999999 34.0 19811213 20200624 418600 99999 SIRAJGANJ BG 24.45 89.7 15.0 19780808 19790928 418620 99999 LALMONIRHAT BG VGLM 25.883000000000003 89.48299999999999 34.0 19430709 19460330 418621 99999 RAJARHAT KURIGRAM BG 25.8 89.55 31.0 20150218 20200624 418630 99999 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20.783 86.73299999999999 6.0 19440101 20200624 429760 99999 PARADIP (C.W.R.) 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BIJAPUR IN 16.817 75.717 594.0 19440101 20200624 431680 99999 MAHABUBNAGAR IN 16.75 78.0 505.0 20090205 20200617 431690 99999 RAICHUR IN 16.2 77.35 400.0 19440101 20200619 431770 99999 RENTACHINTALA IN 16.55 79.55 106.0 19440101 20200621 431800 99999 VIJAYAWADA IN 16.517 80.617 20.0 20010823 20021025 431810 99999 VIJAYAWADA IN VOBZ 16.53 80.797 25.0 19730103 20200624 431820 99999 NANDIGAMA IN 16.783 80.283 51.0 20090205 20200624 431840 99999 NIDADAVOLE IN 16.833 81.583 13.0 20011125 20160120 431850 99999 MACHILIPATNAM/FRANCHPET IN 16.2 81.15 3.0 19540101 20200624 431870 99999 NARSAPUR IN 16.433 81.7 4.0 20040528 20200624 431890 99999 KAKINADA IN 16.95 82.23299999999999 8.0 19440101 20200624 431920 99999 GOA/PANJIM IN 15.482999999999999 73.817 58.4 19730101 20200624 431930 99999 VENGURLA IN 15.867 73.633 16.0 19561031 20200624 431940 99999 GOA INTL IN VOGO 15.380999999999998 73.831 56.1 19730101 20200624 431960 99999 MORMUGAO IN 15.417 73.783 62.0 19440101 20200624 431970 99999 BELGAUM 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AIRPORT NEDUMBASSERY IN 10.15 76.4 7.7 20061013 20200624 433370 99999 KAVARATTI HELIPORT IN VOKV 10.542 72.616 9.1 20160101 20161013 433380 99999 ERODE IN 11.482999999999999 77.767 172.0 20190623 20200624 433390 99999 KODAIKANAL IN 10.232999999999999 77.467 2343.0 19440101 20200624 433400 99999 YERCAUD IN 11.75 78.167 1463.0 20151207 20200624 433410 99999 VALPARAI IN 10.283 77.0 1041.0 20151207 20200624 433420 99999 K. PARAMATHY IN 10.95 78.083 181.0 19780731 20200624 433430 99999 TIRUCHIRAPALLI TOWN IN 10.767000000000001 78.717 88.0 20160205 20200624 433440 99999 TIRUCHIRAPPALLI IN VOTR 10.765 78.71 87.8 19440101 20200624 433450 99999 KUDIMIAMALAI IN 10.4 78.667 123.0 20151211 20200326 433460 99999 KARAIKAL IN 10.917 79.833 7.0 19990412 20200624 433470 99999 NAGAPPATTINAM IN 10.767000000000001 79.85 9.0 19440101 20200624 433480 99999 ATIRAMAPATTINAM IN 10.333 79.383 6.0 20030727 20200624 433490 99999 VEDARANNIYAM IN 10.367 79.85 4.0 19990908 20191110 433510 99999 FORT COCHIN IN 9.967 76.233 3.0 19540101 20011006 433520 99999 ALAPUZHA IN 9.55 76.417 4.0 19440701 20200624 433530 99999 COCHIN IN VOCC 9.946 76.27199999999999 2.4 19440101 20200624 433540 99999 PUNALUR IN 9.0 76.917 34.0 20020827 20200624 433550 99999 KOTTAYAM IN 9.533 76.6 78.0 20010707 20200624 433560 99999 PERIAKULAM IN 10.0 77.133 300.0 20151207 20200624 433570 99999 THRISSUR IN 10.517000000000001 76.217 39.0 20151207 20200624 433580 99999 KOVILANGULAM IN 9.55 78.083 103.0 20151208 20200103 433590 99999 MADURAI IN 9.917 78.117 133.0 19730101 20200624 433600 99999 MADURAI IN VOMD 9.835 78.093 139.9 19440101 20200624 433610 99999 TONDI IN 9.732999999999999 79.033 5.0 20030727 20200624 433630 99999 PAMBAN IN 9.283 79.217 11.0 19440101 20200624 433640 99999 HUT BAY IN 10.583 92.55 5.0 20020604 20200624 433670 99999 CAR NICOBAR IN 9.167 92.833 10.0 19730101 20200624 433680 99999 CAR NICOBAR(IN-AFB) IN VECX 9.15 92.81700000000001 14.0 19730101 20200616 433690 99999 MINICOY IN 8.3 73.15 2.0 19440101 20200623 433710 99999 THIRUVANANTHAPURAM IN 8.482999999999999 76.95 64.0 19440101 20200624 433720 99999 THIRUVANANTHAPURAM INTL IN VOTV 8.482000000000001 76.92 4.6 19960201 20200624 433730 99999 TRIVANDRUM MET.OBS./THUMBA IN 8.533 76.867 7.0 20030304 20200103 433740 99999 KOVALAM IN 8.083 77.25 35.0 20011027 20011027 433760 99999 PALAYANKOTTAI IN 8.732999999999999 77.75 51.0 19730101 20200624 433770 99999 KANNIYAKUMARI IN 8.083 77.5 37.0 19800710 20200624 433790 99999 TUTICORIN NEW PORT IN 8.75 78.183 2.0 20090205 20200624 433820 99999 NANCOWRY IN 7.983 93.53299999999999 26.0 19730101 20200624 433850 99999 KONDUL IN 7.2170000000000005 93.73299999999999 8.0 19730101 20030727 433950 99999 MALE ISLAND IN 4.167 73.5 6.0 19740730 19811214 433990 99999 PARO BT VQPR 27.403000000000002 89.425 2234.8 20101206 20200624 434000 99999 KANKASANTURAI CE 9.8 80.067 15.0 19560104 20190814 434040 99999 JAFFNA CE 9.65 80.017 3.0 20010820 20200624 434100 99999 MULLAITTIVU CE 9.267000000000001 80.817 2.0 19840105 20161214 434130 99999 MANNAR CE 8.982999999999999 79.917 3.0 19570701 20200624 434150 99999 VAVUNIYA CE 8.75 80.5 98.0 20020326 20200624 434180 99999 CHINA BAY CE VCCT 8.539 81.182 1.8 19450801 20200624 434210 99999 ANURADHAPURA CE VCCA 8.301 80.428 98.8 19620101 20200624 434220 99999 MAHA ILLUPPALLAMA CE 8.117 80.467 117.0 19990909 20200624 434240 99999 PUTTALAM CE 8.033 79.833 2.0 19590112 20200624 434360 99999 BATTICALOA CE VCCB 7.706 81.679 6.1 19570701 20200624 434410 99999 KURUNEGALA CE 7.4670000000000005 80.367 116.0 20030112 20200624 434440 99999 KANDY CE 7.332999999999999 80.633 477.0 20030111 20200624 434500 99999 BANDARANAIKE INTL COLOMBO CE VCBI 7.181 79.866 8.8 19620101 20200624 434660 99999 COLOMBO CE 6.9 79.867 7.0 19440101 20200624 434670 99999 COLOMBO RATMALANA CE VCCC 6.822 79.88600000000001 6.7 19440513 20200624 434730 99999 NUWARA ELIYA CE 6.9670000000000005 80.767 1880.0 19570701 20200624 434750 99999 POTTUVIL CE 6.882999999999999 81.833 8.0 20070619 20200624 434760 99999 DIYATALAWA CE 6.817 80.967 1250.0 20050714 20200624 434780 99999 BOGUS SRI LANKAN CE 19840612 20030701 434790 99999 BADULLA CE 6.983 81.05 667.0 20030112 20200624 434860 99999 RATNAPURA CE 6.683 80.4 88.0 20020116 20200624 434950 99999 GALLE CE 6.0329999999999995 80.217 13.0 20020116 20200624 434970 99999 HAMBANTOTA CE VCRI 6.117000000000001 81.133 20.0 19450801 20200624 435170 99999 19440101 19601108 435330 99999 HANIMAADHOO MV 6.733 73.167 2.0 19930501 20200624 435360 99999 19550506 19630930 435400 99999 BOGUS MALDIVIAN MV 19440101 19860729 435410 99999 SONAMARG & IN 34.317 75.317 2515.0 19440101 19631112 435420 99999 DRAS IN 34.433 75.767 3066.0 19550430 19631230 435440 99999 19440101 19630630 435550 99999 MALE INTL MV VRMM 4.192 73.529 1.8 19810101 20200624 435770 99999 KADHDHOO MV 1.883 73.5 2.0 19940301 20200624 435880 99999 KAADEDHDHOO MV 0.483 72.983 2.0 20010916 20200624 435990 99999 GAN ISLAND MV VRMG -0.693 73.156 1.8 19811001 20200624 436040 99999 19550110 19631231 438150 99999 19440101 19481231 438470 99999 19870511 19870511 442030 99999 RINCHINLHUMBE MG 51.117 99.667 1583.0 19830421 20200624 442031 99999 TUERHTU EAST MG 51.516999999999996 100.68299999999999 1724.0 19740419 19821124 442070 99999 HATGAL MG 50.433 100.15 1668.0 19630301 20200624 442080 99999 BOGUS MONGOLIAN MG 19890602 20041208 442100 99999 NOGOONNUUR MG 49.6 90.35 1480.0 20070822 20200624 442120 99999 ULAANGOM MG 49.8 92.083 939.0 19570701 20200624 442130 99999 BARUUNTURUUN MG 49.65 94.4 1232.0 19830102 20200624 442131 99999 KHYARGAS SOUTHWEST MG 49.533 93.8 2050.0 19730103 19821227 442140 99999 ULGI MG 48.933 89.93299999999999 1715.0 19590101 20200624 442150 99999 OMNO-GOBI MG 49.016999999999996 91.71700000000001 1590.0 19730101 20200624 442160 99999 HUNHATAOORTOO MG 48.817 93.1 1051.0 19751001 20200624 442170 99999 TOLBO MG 48.417 90.3 2101.0 19730401 20200624 442180 99999 HOVD MG 48.016999999999996 91.56700000000001 1405.0 19561016 20200624 442190 99999 URGAMAL MG 48.516999999999996 94.3 1263.0 19750109 20200624 442210 99999 GANDAN HURYEE MG 49.65 95.78299999999999 1421.0 19730401 20200624 442240 99999 TSETSEN UUL MG 48.766999999999996 96.0 1928.0 19751003 20200624 442250 99999 TOSONTSENGEL MG ZMTL 48.733000000000004 98.2 1723.0 19690101 20200624 442251 99999 TOSONTSENGEL MG 48.739 98.29700000000001 1709.0 19730101 19800215 442290 99999 TARIAT MG 48.083 99.55 2041.0 19730101 20200624 442300 99999 TARIALAN MG 49.567 102.0 1235.0 19830112 20200624 442301 99999 TESHIG SOUTHWEST MG 49.95 102.6 1070.0 19730102 19821124 442310 99999 MUREN MG 49.633 100.167 1283.0 19560802 20200624 442320 99999 HUTAG MG 49.383 102.7 938.0 19630301 20200624 442360 99999 NAME AND LOC UNKN MG 48.85 103.51700000000001 -999.0 19731004 20190606 442370 99999 ERDENEMANDAL MG 48.533 101.383 1509.0 19830102 20200624 442371 99999 ONDOR-ULAAN NW MG 48.05 100.48299999999999 1989.0 19730103 19821230 442380 99999 BOGUS MONGOLIAN MG 19890510 20021122 442390 99999 BULGAN MG 48.8 103.55 1208.0 19560805 20200624 442400 99999 BATA SUMBER MG 48.417 106.71700000000001 630.0 19690101 20190606 442410 99999 BARUUNHARAA MG 48.917 106.06700000000001 807.0 19560802 20200624 442420 99999 HADATYN MG 49.45 107.2 762.0 19730102 20200624 442430 99999 ULYGAIIN DUGANG MG 49.833 107.73299999999999 883.0 19730101 20200624 442450 99999 DZUUNHARAA MG 48.867 106.46700000000001 895.0 19740419 20190606 442540 99999 TATAAL MG 48.85 111.45 994.0 19630301 20200624 442560 99999 DASHBALBAR MG 49.55 114.4 705.0 19831201 20200624 442570 99999 BINDER MG 48.617 110.6 747.0 19560803 20200624 442580 99999 KHOLONBUIR NE MG 48.033 113.25 824.0 19631002 19631227 442590 99999 CHOIBALSAN MG 48.083 114.55 747.0 19560802 20200624 442640 99999 BULGAN MG 46.083 91.53299999999999 1190.0 19750521 20190606 442650 99999 BAITAG MG 46.117 91.46700000000001 1186.0 19630301 20200624 442652 99999 19730101 19790805 442660 99999 TONHIL MG 46.317 93.9 2095.0 19731004 20200624 442720 99999 ULIASTAI MG 47.75 96.85 1759.0 19560901 20200624 442730 99999 BULENII HURYEE WEST MG 47.667 99.0 2523.0 19740425 19740817 442750 99999 BAYANBULAG MG 46.833 98.083 2255.0 19831011 20200624 442752 99999 19741127 19800830 442770 99999 ALTAI MG 46.4 96.25 2181.0 19560802 20200624 442780 99999 DELGER MG 46.367 97.367 1793.0 19731004 20020930 442820 99999 TSETSERLEG MG 47.45 101.46700000000001 1691.0 19560803 20200624 442840 99999 GALUUT MG 46.7 100.133 2126.0 19570725 20200624 442850 99999 HUJIRT MG 46.9 102.76700000000001 1662.0 19580410 20200624 442860 99999 BAT OLDZIY BUND MG 46.967 103.8 1358.0 19730103 20200624 442870 99999 BAYANHONGOR MG 46.133 100.68299999999999 1859.0 19630301 20200624 442880 99999 ARVAIHEER MG 46.266999999999996 102.78299999999999 1813.0 19560802 20200624 442900 99999 LUNG MG 47.867 105.25 1530.0 19560802 20190606 442910 99999 SONGIIN MG 47.85 106.75 1272.0 20070822 20200624 442920 99999 CHINGGIS KHAAN INTL MG ZMUB 47.843 106.76700000000001 1330.1 19560802 20200624 442930 99999 HERELENGIIN DEN NE MG 47.833 108.5 1319.0 19560803 19581231 442940 99999 MAANTI MG 47.3 107.48299999999999 1430.0 19560821 20200624 442970 99999 DELGERTSGOT MG 46.117 106.383 1405.0 19740421 20190606 442980 99999 CHOIR MG 46.45 108.21700000000001 1286.0 19560802 20200624 443010 99999 BOGUS MONGOLIAN MG 19890201 20020518 443020 99999 BAYAN-OVOO MG 47.783 112.117 926.0 19690101 20200624 443021 99999 19730101 19810526 443040 99999 UNDERKHAAN MG 47.317 110.633 1033.0 19560802 20200624 443050 99999 BARUUN-URT MG 46.683 113.28299999999999 981.0 19600101 20200624 443130 99999 KHALKH-GOL MG 47.617 118.617 688.0 19831011 20200624 443132 99999 HUSHUU SUME SOUTH MG 47.333 119.03299999999999 1067.0 19730401 19810806 443140 99999 MATAD MG 47.167 115.633 907.0 19750808 20200624 443150 99999 19730108 19751223 443170 99999 ERDENETSAGAAN MG 45.9 115.367 1076.0 19730101 20200624 443190 99999 19870519 19870519 443250 99999 ERDENI MG 45.15 97.76700000000001 2417.0 19630301 20200624 443290 99999 AMARBUYANTAYN MG 44.617 98.7 2103.0 19731004 20200624 443360 99999 SAIKHAN-OVOO MG 45.45 103.9 1316.0 19831011 20200624 443362 99999 19730101 19781108 443380 99999 BOGD MG 44.65 102.167 1646.0 19750809 20200624 443410 99999 MANDALGOBI MG 45.766999999999996 106.28299999999999 1393.0 19560802 20200624 443470 99999 TSOGT-OVOO MG 44.417 105.31700000000001 1298.0 19690101 20200624 443480 99999 BAYAN DOBO SUMA MG 44.567 107.18299999999999 1093.0 19731129 20200624 443520 99999 BAYANDELGER MG 45.733000000000004 112.367 1101.0 19561031 20200624 443540 99999 SAINSHAND MG 44.9 110.117 938.0 19560802 20200624 443580 99999 ZAMYN-UUD MG 43.733000000000004 111.9 964.0 19560803 20200624 443730 99999 DALANZADGAD MG 43.583 104.417 1465.0 19560802 20200624 443740 99999 SHINE USA MG 42.9 100.21700000000001 1494.0 19730102 20200624 443830 99999 HOVSOGOL MG 43.6 109.65 992.0 19731118 20020613 443850 99999 HANBOGD MG 43.2 107.167 914.0 19751201 20200624 443860 99999 UNKNOWN MONGOLIA MG 43.183 109.21700000000001 213.0 19730102 20200624 443920 99999 BOGUS MONGOLIAN MG 19890703 20020705 444040 99999 DADELDHURA NP 29.3 80.583 1848.0 19780301 20200527 444060 99999 DIPAYAL NP 29.25 80.95 617.0 20051012 20200527 444090 99999 DHANGADHI (ATARIYA) NP 28.8 80.55 187.0 20051012 20200527 444160 99999 SURKHET NP VNSK 28.6 81.617 720.0 19761101 20200527 444180 99999 NEPALGUNJ AIRPORT NP 28.1 81.667 165.0 20051012 20200527 444240 99999 JUMLA NP VNJL 29.283 82.167 2300.0 19750913 20200527 444290 99999 DANG NP 28.05 82.5 634.0 20051012 20200527 444340 99999 POKHARA NP VNPK 28.201 83.98100000000001 826.6 19770207 20200527 444380 99999 BHAIRAHAWA NP VNBW 27.506 83.416 109.1 19770302 20200527 444490 99999 SIMARA NP VNSI 27.159000000000002 84.98 137.2 19740110 20200527 444540 99999 TRIBHUVAN INTL NP VNKT 27.697 85.359 1338.1 19730521 20200624 444600 99999 JIRI NP VNJI 27.633000000000003 86.23299999999999 2003.0 19780722 19780722 444610 99999 SYANGBOCHE NP 27.816999999999997 86.71700000000001 3700.0 19761101 19800210 444620 99999 OKHALDHUNGA NP 27.3 86.5 1720.0 19761101 20200527 444740 99999 TAPLEJUNG NP VNTJ 27.35 87.667 1732.0 19780701 20200527 444770 99999 DHANKUTA NP 26.983 87.35 1210.0 19761101 20200527 444780 99999 BIRATNAGAR NP VNVT 26.480999999999998 87.264 71.9 19770208 20200527 450010 99999 CHEUNG CHAU CH VHCH 22.2 114.01700000000001 79.0 19730101 20020513 450020 99999 19530101 19560331 450030 99999 TAI-O CH 22.25 113.85 76.0 19770514 20020820 450040 99999 KOWLOON CH 22.311999999999998 114.17299999999999 66.4 19791102 20180930 450050 99999 HONG KONG OBSERVATORY CH 22.3 114.167 62.0 19460901 20180930 450060 99999 GREEN ISLAND CH 22.283 114.117 76.0 20010707 20010707 450070 99999 HONG KONG INTL HK VHHH 22.309 113.915 8.5 19481231 20200624 450080 99999 19730101 19740430 450090 99999 TAI MO SHAN CH 22.416999999999998 114.117 947.0 19471231 19560331 450100 99999 TATE'S CAIRN CH 22.366999999999997 114.21700000000001 576.0 20011226 20011226 450110 99999 MACAU INTL MC VMMC 22.15 113.59200000000001 6.1 19510320 20200624 450200 99999 MACAO/FORTALEZA DO MONTE MC 22.183000000000003 113.53299999999999 59.0 20120823 20120823 450320 99999 TA KWU LING CH 22.533 114.15 13.0 19921204 20200624 450330 99999 KAT O CH 22.533 114.3 10.0 19921204 19990604 450340 99999 TAI MEI TUK CH 22.483 114.23299999999999 53.0 19921204 19960405 450350 99999 LAU FAU SHAN CH 22.467 113.98299999999999 35.0 20040713 20200624 450390 99999 SHA TIN CH 22.4 114.2 8.0 20040713 20200624 450410 99999 TSEUNG KAWN O CH 22.316999999999997 114.25 32.0 20040604 20040604 450440 99999 CHEUNG CHAU CH 22.2 114.01700000000001 79.0 20020313 20200624 450450 99999 WAGLAN ISLAND CH 22.183000000000003 114.3 60.0 20040122 20200624 459090 99999 19870518 19870518 465660 99999 DRIFTER 46566 / ARGOS 63832 20180101 20180425 465890 99999 HSIA-TA-CHEN SHAN CHINA SEA CH 28.416999999999998 121.917 35.7 19540516 19550131 466860 99999 CHIANG KAI SHEK INTL TW RCTP 25.078000000000003 121.23299999999999 32.6 19790301 20200624 466880 99999 MATSU TW 26.233 120.0 8.0 19730101 19730901 466888 99999 BEIGAN TW RCMT 26.224 120.00299999999999 12.5 19990114 20001231 466890 99999 NANGAN TW RCFG 26.16 119.958 68.0 19540517 19991017 466900 99999 TANSHUI TW 25.166999999999998 121.43299999999999 19.0 19730101 19780629 466920 99999 TAIBEI TW 25.033 121.51700000000001 9.0 19730101 20180711 466940 99999 CHILUNG TW 25.15 121.8 3.0 19730101 19981231 466950 99999 PENGJIA YU(=589740) TW 25.633000000000003 122.06700000000001 102.0 19730101 19981231 466960 99999 SUNGSHAN TW RCSS 25.069000000000003 121.552 5.5 19461231 20200624 466970 99999 TAOYUAN TW RCGM 25.055999999999997 121.243 46.0 19491231 20001231 466990 99999 HUA-LIEN CITY TW 23.983 121.6 19.0 19730101 20180711 467060 99999 SUAO MET STATION TW 24.6 121.85 3.0 19820101 19981231 467080 99999 ILAN CITY TW 24.75 121.78299999999999 7.0 19730101 20180711 467300 99999 DONGSHI TW RCNO 23.267 119.667 45.0 19730101 20010626 467340 99999 MAGONG TW RCQC 23.569000000000003 119.62799999999999 31.4 19490531 20140228 467350 99999 PENGHU ISLANDS TW 23.5 119.5 21.0 19730101 20091105 467360 99999 SHANG YI TW RCBS 24.428 118.359 28.3 19540516 20020318 467373 99999 BAKUAI/PA KUEI TW 24.933000000000003 121.3 141.0 19880105 19900703 467380 99999 PA KUEI/BAKUAI TW RCUK 24.933000000000003 121.3 141.0 19811101 20010102 467400 99999 KAOHSIUNG INTL TW RCKH 22.576999999999998 120.35 7.9 19730101 20200624 467403 99999 FENGNIN TW RCFN 22.755 121.102 43.6 19820603 20200624 467410 99999 TAINAN (=593580) TW 23.0 120.21700000000001 14.0 19730101 20040607 467425 99999 BOGUS TAIWANESE TW RCLT 19860111 20010101 467430 99999 TAINAN TW RCNN 22.95 120.206 19.2 19471231 20200624 467440 99999 KAOHSIUNG TW 22.633000000000003 120.28299999999999 29.0 19500131 19981231 467450 99999 GANGSHAN TW RCAY 22.783 120.262 10.4 19540516 20091105 467460 99999 CHIAYI TW RCKU 23.462 120.39299999999999 25.9 19490301 20140311 467470 99999 DONGGANG (=595530) TW RCMJ 22.467 120.43299999999999 8.0 19730101 19741030 467480 99999 CHIAYI TW 23.5 120.45 28.0 19540516 20000413 467490 99999 TAICHUNG (=591580) TW 24.15 120.68299999999999 78.0 19730101 19990904 467500 99999 PINGTUNG SOUTH TW RCDC 22.671999999999997 120.462 23.8 19540516 20091106 467510 99999 TAICHUNG TW RCLG 24.186 120.654 115.0 19461231 20001231 467520 99999 HENGCHUN TW RCKW 22.041 120.73 14.0 19490731 20030316 467530 99999 MOUNT ALISAN TW 23.517 120.8 2406.0 19730101 20000219 467540 99999 DAWU TW 22.35 120.9 8.0 19730101 19981231 467550 99999 MOUNT MORRISON TW 23.483 120.95 3850.0 19730101 19981231 467560 99999 HSINCHU TW RCPO 24.818 120.939 7.9 19540516 20100606 467570 99999 HSINCHU CITY TW 24.833000000000002 120.0 27.0 19730101 19981231 467580 99999 PINGTUNG NORTH TW RCSQ 22.7 120.48200000000001 29.6 19730101 20010209 467590 99999 HENGCHUN (=595590) TW 22.0 120.75 24.0 19730101 19981231 467600 99999 JHIHHANG TW RCQS 22.793000000000003 121.182 36.9 19490531 20010703 467610 99999 CHENG-KUNG TW 23.1 121.367 37.0 19730101 19990220 467615 99999 BOGUS TAIWANESE TW RCTM 19860125 19880702 467620 99999 LANYU TW RCLY 22.029 121.53399999999999 13.1 19730102 20030906 467630 99999 HUALIEN TW RCYU 24.023000000000003 121.618 15.8 19461231 20140228 467640 99999 ILAN TW RCMS 24.75 121.76700000000001 9.0 19490930 20020805 467650 99999 JOYUTANG TW 23.883000000000003 120.85 1015.0 19730101 19990221 467660 99999 TAIDONG (=595620) TW 22.75 121.15 10.0 19730101 20010304 467690 99999 LUNG TAN(TAFB) TW 24.866999999999997 121.23299999999999 241.0 19520519 19651231 467700 99999 CHING CHUAN KANG AB TW RCMQ 24.265 120.62100000000001 202.1 19520331 20200624 467710 99999 SHIH-KANG SOUTHEAST TW 24.25 120.8 430.0 19540516 19551231 467720 99999 CHIA TUNG TW RCFS 22.416999999999998 120.55 20.0 19540516 20010101 467770 99999 WU-CHI OBSERVATORY TW 24.25 120.51700000000001 5.0 19780801 19981231 467800 99999 LU-TAO TW 22.683000000000003 121.5 280.0 19860101 20030318 468100 99999 DONGSHA TW RCLM 20.666999999999998 116.71700000000001 6.0 19490111 20000830 468110 99999 PRATAS ISLAND TW 20.717 116.71700000000001 3.0 19730101 19990628 469010 99999 WOODY ISLAND PARACEL IS TW 16.85 112.333 2.4 19490201 19500430 469020 99999 NENSHA ISL(=599970) TW 10.383 114.367 5.0 19490111 19981231 469999 99999 BOGUS TAIWANESE TW RCKK 0.0 0.0 -999.0 19850611 19910323 470030 99999 SENBONG KN 42.317 130.4 3.0 19570202 20200624 470050 99999 SAMJIYON KN 41.817 128.3 1381.0 19760401 20200624 470080 99999 CHONGJIN KN 41.783 129.817 43.0 19570202 20200624 470140 99999 CHUNGGANG KN 41.783 126.883 331.0 19570202 20200624 470160 99999 HYESAN KN 41.4 128.167 714.0 19570202 20200624 470200 99999 KANGGYE KN 40.967 126.6 306.0 19570202 20200624 470220 99999 PUNGSAN KN 40.817 128.15 1200.0 19760401 20200624 470250 99999 KIMCHAEK/SONGJIN KN ZKKC 40.667 129.2 23.0 19570202 20200624 470280 99999 SUPUNG KN 40.45 124.93299999999999 76.0 19760401 20200624 470310 99999 CHANGJIN KN 40.367 127.25 1080.0 19760401 20200624 470311 99999 MEILAN CH ZJHK 19.935 110.459 22.9 20040706 20200624 470312 99999 ZHENGDING CH ZBSJ 38.281 114.697 71.0 20040706 20200624 470350 99999 SINUIJU KN 40.1 124.383 7.0 19570202 20200624 470370 99999 KUSONG KN 39.983000000000004 125.25 99.0 19760401 20200624 470380 99999 BOGUS KOREAN KN 19880403 20020721 470390 99999 HUICHON KN 40.167 126.25 155.0 19760401 20200624 470410 99999 HAMHEUNG KN 39.933 127.55 22.0 19570202 20200624 470420 99999 BOGUS KOREAN KN 19880209 20030109 470460 99999 SINPO KN 40.033 128.183 19.0 19760401 20200624 470500 99999 ANJU KN 39.617 125.65 27.0 19760401 20200624 470520 99999 YANGDOK KN 39.217 126.65 279.0 19760401 20200624 470550 99999 WONSAN KN ZKWS 39.183 127.43299999999999 36.0 19570202 20200624 470580 99999 PYONGYANG INTL KN ZKPY 39.224000000000004 125.67 35.7 19501024 20200624 470600 99999 NAMPO KN 38.717 125.383 47.0 19760401 20200624 470610 99999 CHANGJON KN 38.733000000000004 128.183 34.0 19760401 20200624 470650 99999 SARIWON KN 38.516999999999996 125.76700000000001 52.0 19570202 20200624 470660 99999 HYUN NI (KOR-ARMY) KS 37.95 128.317 274.0 19510909 19830116 470670 99999 SINGYE KN 38.5 126.53299999999999 97.0 19760401 20200624 470680 99999 RYONGYON KN 38.15 124.883 6.0 19760401 20200624 470690 99999 HAEJU KN 38.033 125.7 81.0 19570202 20200624 470699 99999 CHAJANG NI (K-ARMY) KS 37.867 127.18299999999999 100.0 19790907 19791117 470700 99999 KAESONG KN 37.967 126.56700000000001 70.0 19570202 20200624 470750 99999 PYONGGANG KN 38.417 127.28299999999999 352.0 19760401 20200624 470800 99999 GEOJIN KN 38.45 128.45 107.0 19530502 20020607 470880 99999 SANGJU RANGE KS RKTS 36.4 128.283 90.3 20050102 20200624 470900 99999 SOKCHO KS 38.251 128.565 22.9 19730101 20200624 470910 99999 SOKCHO AIRPORT KN 38.133 128.6 13.0 19730101 19811030 470920 99999 YANGYANG INTL KS RKNY 38.061 128.66899999999998 73.5 20040405 20200624 470950 99999 CHEORWON KS 38.15 127.3 155.0 19880331 20200624 470970 99999 ICHEON KS 37.266999999999996 127.48299999999999 90.0 20090108 20200624 470980 99999 DONGDUCHEON KS 37.9 127.06700000000001 112.0 20010705 20200624 470990 99999 PAJU KS 37.883 126.766 30.0 20030330 20200624 471000 99999 DAEGWALLYEONG KS 37.683 128.717 844.0 19791126 20200624 471010 99999 CHUNCHEON KS 37.9 127.73299999999999 78.0 19510622 20200624 471020 99999 BAENGNYEONGDO KS 37.966 124.63 145.5 19800310 20200624 471025 99999 TAESONG-SAN KS 38.2 127.55 1182.0 19541107 20200519 471030 99999 BAENGNYEONGDO AB KS RKSP 37.933 124.667 171.0 19510916 20200624 471033 99999 BOGUS KOREAN KS RKTX 19861002 19890307 471034 99999 YEONPYEUNGDO KS RKSQ 37.7 125.7 91.0 19930702 20200624 471040 99999 A 306 KS RKNC 37.884 127.71799999999999 77.0 19600918 20200624 471050 99999 GANGNEUNG KS 37.771 128.868 26.1 19730101 20200624 471060 99999 DONGHAE RADAR KS 37.5 129.13299999999998 37.0 19510701 20200624 471064 99999 H 207 HELIPORT KS RKSX 37.719 127.09899999999999 71.3 19790710 20161022 471065 99999 YEONGDONGRI KS 37.783 126.85 24.0 19530501 19840225 471066 99999 CAMP CASEY/TONGDUCH KS RKST 37.917 127.05 60.0 19531023 20190812 471069 99999 PYORIP-SAN KS RKSV 37.783 126.367 248.0 19790907 19890806 471070 99999 GANGNEUNG KS RKNN 37.754 128.944 10.7 19511231 20200624 471074 99999 KEO JIN KS RKNO 38.467 128.467 107.0 19930802 20200624 471080 99999 SEOUL CITY KS RKSL 37.567 126.96700000000001 87.0 19501204 20200624 471084 99999 PYORIPSAN KS RKSV 37.783 126.367 250.0 19930829 20200624 471085 99999 PAEKADO KS RKTB 37.016999999999996 126.05 46.0 19930702 20200624 471086 99999 WOONG CHEON KS RKTW 36.2 126.55 13.0 19930910 20200624 471087 99999 SEOSAN AB KS 36.7 126.48299999999999 12.0 19950911 20041231 471094 99999 WHANG RYEONG KS RKNF 37.75 128.667 1407.0 19930802 20200624 471100 99999 GIMPO KS RKSS 37.558 126.791 17.7 19450930 20200624 471105 99999 H 264 HELIPORT KS RKSY 37.522 126.979 12.2 19730101 20200624 471110 99999 SEOUL AB KS RKSM 37.446 127.11399999999999 28.0 19740101 20200624 471115 99999 KOON-NI RANGE KS 37.033 126.75 15.0 19730101 19731231 471116 99999 SUSAEK AERO KS RKSK 37.6 126.867 52.0 19841106 19900628 471120 99999 INCHEON KS 37.467 126.633 70.0 19730101 20200624 471125 99999 COMMAND POST TANGO KS RKSH 37.516999999999996 126.98299999999999 73.0 19960820 20000817 471130 99999 INCHEON INT'L AIRPORT KS 37.467 126.43299999999999 7.0 19640630 20050322 471131 99999 INCHEON INTL KS RKSI 37.469 126.45100000000001 7.0 20040706 20200624 471140 99999 WONJU KS RKNW 37.438 127.96 100.3 19540424 20200624 471150 99999 ULLEUNGDO KS 37.483000000000004 130.9 220.0 19730101 20200624 471160 99999 GWANAKSAN KS 37.433 126.96700000000001 637.0 19990130 20020116 471165 99999 KOREAN AF HQ KS RKSF 37.5 126.917 49.0 20050102 20200624 471170 99999 SINYONGSAN KS 37.533 126.96700000000001 29.0 19740101 20041231 471180 99999 WONJU AB KS RKNH 38.233000000000004 127.96700000000001 105.5 19510411 20020905 471190 99999 SUWON KS 37.266999999999996 126.98299999999999 35.0 19730101 20200624 471200 99999 SUWON KS RKSW 37.239000000000004 127.007 26.8 19510205 20200624 471204 99999 SV RI SAN KS 37.35 126.917 406.0 19630301 20090607 471205 99999 MAESANRI KS RKSD 37.35 127.26700000000001 144.0 19930910 20200624 471206 99999 19730102 19761221 471207 99999 SEOUL EAST(KOR-AFB) KS 37.433 127.117 20.0 19730101 19731231 471210 99999 YEONGWOL KS 37.183 128.467 237.0 19810604 20200624 471220 99999 OSAN AB KS RKSO 37.091 127.03 11.6 19530109 20200624 471223 99999 KOTAR RANGE KS RKNR 37.1 128.9 792.0 19820624 20200624 471240 99999 SEONGMU KS RKTE 36.568000000000005 127.5 78.6 19910611 20200624 471243 99999 BAEGADO KS 37.083 125.96700000000001 -999.0 19880310 19900504 471250 99999 JUNGWON AB KS RKTI 37.03 127.885 85.6 19920415 20200624 471260 99999 MANGILSAN KS RKTM 36.933 126.45 84.0 19740101 20171013 471263 99999 BOGUS KOREAN KS 19890908 19910319 471270 43216 A511/PYEONGTAEK KS RKSG 36.967 127.03299999999999 16.0 19510313 20200624 471270 99999 A 511 / DESIDERIO AAF-PYEONGTAEK / CAMP HUMPHREYS ROK KS RKSG 36.967 127.03299999999999 15.5 20000101 20041231 471275 99999 MANGILSAN (KOR-AFB) KS 36.933 126.45 302.0 19690331 19731231 471280 99999 CHEONGJU INTL KS RKTU 36.717 127.499 58.2 19790315 20200624 471285 99999 CHOCH' IWON KS RKTL 36.567 127.28299999999999 25.0 20010705 20051105 471290 99999 SEOSAN KS 36.766999999999996 126.5 27.0 19730101 20200624 471299 99999 TAESONG-SAN KS 38.2 127.55 1175.0 19790907 19841102 471300 99999 ULJIN KS 37.0 129.417 51.2 19780310 20200624 471310 99999 CHEONGJU KS 36.633 127.45 59.0 19510228 20200624 471315 99999 YEOJU RANGE KS RKSU 37.433 127.633 43.0 19730114 20200624 471320 99999 ANMYEONDO KS RKTD 36.516999999999996 126.31700000000001 43.0 19510131 20070227 471330 99999 TAEJON KS RKTF 36.3 127.4 78.0 19730101 20200624 471340 99999 YECHEON KS RKTY 36.632 128.355 107.9 19770208 20200624 471349 99999 KOJIN NI KS 0.0 0.0 -999.0 19770208 19841120 471350 99999 CHUPUNGNYEONG KS 36.217 127.98299999999999 245.0 19550912 20200624 471360 99999 ANDONG KS RKTA 36.567 128.7 141.6 19830201 20200624 471370 99999 SANGJU KS RKTS 36.417 128.15 97.6 19890501 20200624 471380 99999 POHANG KS 36.033 129.38299999999998 3.6 19730101 20200624 471385 99999 SANGJU KS 36.417 128.167 150.0 19660531 20081017 471390 99999 POHANG KS RKTH 35.988 129.42 21.3 19730101 20200624 471395 99999 MOKPO KS RKJM 34.759 126.38 7.0 20041005 20140104 471400 99999 GUNSAN KS 36.001999999999995 126.76299999999999 26.9 19730101 20200624 471405 99999 JEON JU KS RKJU 35.878 127.12 29.3 19730101 19730626 471410 43219 KUNSAN AB KS RKJK 35.917 126.617 10.0 19510409 20200624 471410 99999 KUNSAN AB KS RKJK 35.904 126.616 8.8 20000101 20041231 471420 99999 DAEGU AB KS RKTN 35.894 128.659 35.4 19501101 20200624 471425 99999 CAMP WALKER (H-805) KS RKTG 35.85 128.583 75.0 19730101 19970117 471430 99999 TAEGU ACC (KOR-AFB) KS RKTT 35.883 128.61700000000002 61.0 19730101 20200624 471440 99999 OSUNGSAN KS 36.0 126.78299999999999 227.0 19990623 20010807 471450 99999 CHEONAN KS 36.763000000000005 127.29299999999999 81.5 20090108 20200624 471460 99999 JEONJU KS 35.833 127.117 62.6 19730101 20200624 471470 99999 GYERYONGDAE KS 36.3 127.21700000000001 145.0 19801225 19810402 471475 99999 BOGUS KOREAN KS RKTV 19841012 19910807 471476 99999 BOGUS KOREAN KS RKTW 19870403 19910807 471480 99999 MYONBONGSAN KS 36.183 129.0 1133.0 20070226 20070227 471490 99999 SEOSAN AB KS 36.683 126.48299999999999 12.0 20050102 20070409 471500 99999 BORYEONG KS 36.333 126.55 18.0 20090108 20200624 471510 99999 ULSAN AIRPORT KS 35.583 129.35 13.0 19500716 20070227 471511 99999 ULSAN ARPT KS RKPU 35.583 129.35 10.0 19810811 19831206 471520 99999 ULSAN KS RKPU 35.593 129.352 13.7 19730101 20200624 471530 99999 GIMHAE INTL KS RKPK 35.18 128.938 1.8 19540719 20200624 471540 43213 GUMI KS 36.117 128.317 47.0 19730101 19870621 471540 99999 GUMI KS 36.117 128.317 47.0 20090108 20200624 471550 99999 CHANGWON KS 35.17 128.57299999999998 36.8 19860601 20200624 471560 99999 GWANGJU KS 35.167 126.9 74.0 19730101 20200624 471570 99999 GEOCHANG KS 35.667 127.917 226.0 20090108 20200624 471571 99999 CHINHAE (KOR-ARMY) KS RKPE 35.133 128.7 4.0 19670731 19840621 471580 99999 GWANGJU KS RKJJ 35.126 126.809 11.9 19531201 20200624 471590 99999 BUSAN KS RKPP 35.1 129.033 71.0 19730101 20200624 471600 99999 GUDEOKSAN KS 35.117 129.0 532.0 20041104 20041104 471610 43240 SACHEON AB KS RKPS 35.083 128.083 8.0 19730101 20200624 471610 99999 SACHEON AB KS RKPS 35.089 128.07 7.6 20000101 20041231 471620 99999 TONGYEONG KS 34.85 128.433 33.3 19730101 20200624 471630 99999 MUAN INTL AIRPORT KS RKJB 34.983000000000004 126.383 16.0 20080331 20200624 471650 99999 MOKPO KS 34.817 126.383 39.0 19730101 20200624 471660 99999 MOKPO AIRPORT KS 34.766999999999996 126.383 5.0 19740210 19740210 471670 99999 YEOSU KS RKJY 34.842 127.617 16.2 19741117 20200624 471680 99999 YEOSU KS 34.733000000000004 127.75 67.0 19730101 20200624 471690 99999 HEUKSANDO KS 34.687 125.45100000000001 68.5 20010705 20200624 471700 99999 WANDO KS 34.4 126.7 35.0 19830201 20200624 471710 99999 JEONGEUP KS 35.55 126.867 39.0 20090108 20200624 471720 99999 GOCHANG KS 35.349000000000004 126.59899999999999 55.0 20090108 20200624 471730 99999 NAMWON KS 35.417 127.4 132.5 20090108 20200624 471740 99999 SUNCHEON KS 35.016999999999996 127.367 166.9 19890601 20200624 471750 99999 JINDO RADAR KS 34.467 126.333 478.0 20030330 20190731 471790 99999 ULNEUNGDO KS 37.5 130.86700000000002 968.0 19890503 20200624 471820 99999 JEJU INTL KS RKPC 33.510999999999996 126.493 36.0 19730101 20200624 471840 99999 JEJU KS 33.516999999999996 126.53299999999999 23.0 19510131 20200624 471850 43263 GOSAN KS 33.294000000000004 126.163 71.0 19880312 20200624 471850 99999 GOSAN KS 33.294000000000004 126.163 70.9 20000101 20041231 471870 99999 MOSULPO (KOR-AFB) KS RKPM 33.2 126.26700000000001 27.0 19540729 20200624 471880 99999 SEONGSAN KS 33.383 126.867 18.0 20101208 20200624 471890 99999 SEOGWIPO KS 33.25 126.56700000000001 51.0 19730101 20200624 471910 99999 IRI KS 35.917 126.95 8.0 20011002 20030923 471920 99999 JINJU KS 35.167 128.033 29.9 19730101 20200624 471933 99999 SONGMU (KOR-AFB) & KS 36.567 127.5 79.0 19870629 19910611 471963 99999 YEONPYEONGDO KS 34.667 125.68299999999999 -999.0 19880301 19900516 471990 99999 YONG JUNG-RI KS 35.433 126.43299999999999 37.0 19800216 20020810 471999 99999 YONG JUNG-RI KS RKJO 35.433 126.43299999999999 37.0 19730101 19800105 472020 99999 NAYORO-ON-HOKKAIDO JA 44.367 142.467 89.0 19730101 19780804 472025 99999 RISHIRI JA RJER 45.242 141.186 34.1 19750521 20060816 472050 99999 ISHIKARINUMATA JA 43.8 141.95 63.0 19730101 20020602 472070 99999 TAKIKAWA JA 43.567 141.95 48.0 19730102 20011001 472130 99999 FURANO-ON-HOKKAIDO JA 43.333 142.4 174.0 19730101 19780422 472140 99999 YUBARI-ON-HOKKAIDO JA 43.033 141.967 293.0 19730101 19780511 472150 99999 KITAMI-ON-HOKKAIDO JA 43.817 143.917 84.0 19730101 20020207 472160 99999 NUKABIRA JA 43.367 143.2 540.0 19730101 19760901 472180 99999 19730101 19750331 472185 99999 OKUSHIRI JA RJEO 42.073 139.43 54.9 19750521 19990228 472260 99999 19730101 19750401 472310 99999 HIROSAKI-IN-TOHOKU JA 40.617 140.467 30.0 19740503 20020426 472330 99999 TAKANOSU-IN-TOHOKU JA 40.233000000000004 140.38299999999998 29.0 19740503 19770502 472390 99999 YOKOTE JA 39.317 140.55 59.0 19740503 19780219 472410 99999 19740503 19750331 472560 99999 OBANAZAWA JA 38.6 140.417 98.0 19740503 20030129 472590 99999 ICHINOSEKI JA 38.917 141.13299999999998 68.0 19740503 20020601 472630 99999 TADAMI-IN-TOHOKU JA 37.333 139.317 377.0 19731129 20030218 472660 99999 YONEZAWA-IN-TOHOKU JA 37.917 140.11700000000002 239.0 19740503 19770430 472680 99999 KORIYAMA-IN-TOHOKU JA 37.383 140.36700000000002 255.0 19740503 20021220 472720 99999 NAGAOKA-IN-CHUBU JA 37.45 138.85 21.0 19730101 20010708 472760 99999 TONAMI-IN-CHUBU JA 36.633 136.933 50.0 19730101 19740331 472850 99999 19740720 19740831 472900 99999 IKARI JA 36.9 139.7 512.0 20020124 20020124 472940 99999 19740720 19750906 472970 99999 OTAWARA JA 36.867 140.033 213.0 19740720 20020417 473020 99999 ONO-IN-CHUBU JA 35.983000000000004 136.483 175.0 19730101 19780815 473040 99999 SHIROTORI-IN-CHUBU JA 35.867 136.86700000000002 372.0 20010726 20020523 473070 99999 MITAKE JA 35.85 137.63299999999998 870.0 19730101 19760331 473080 99999 HAGIWARA-IN-CHUBU JA 35.867 137.217 431.0 20020104 20040608 473120 99999 ENA-IN-CHUBU JA 35.45 137.4 315.0 20011109 20020909 473150 99999 19730101 19730331 473160 99999 19730101 19750315 473250 99999 MIYAGAWA-IN-KANSAI JA 34.283 136.217 202.0 20011127 20011127 473460 99999 SHOBARA-IN-CHUGOKU JA 34.867 133.033 300.0 20050517 20050517 473530 99999 IKOMAYANA JA 34.667 135.667 633.0 19800706 19840410 473620 99999 OZU-ON-SHIKOKU JA 33.5 132.55 68.0 20011105 20011105 474010 99999 WAKKANAI JA 45.417 141.683 11.7 19521231 20200624 474020 99999 KITAMIESASHI JA 44.933 142.583 8.4 19521231 20200624 474030 99999 YAGISHIRITO (LGT-H) JA 44.433 141.433 40.0 19730101 20040508 474040 99999 HABORO JA 44.367 141.7 9.6 19521231 20200624 474050 99999 OMU JA 44.583 142.967 15.9 19521231 20200624 474060 99999 RUMOI JA 43.95 141.63299999999998 24.3 19521231 20200624 474070 99999 ASAHIKAWA JA 43.75 142.36700000000002 140.0 19521231 20200624 474090 99999 ABASHIRI JA 44.016999999999996 144.283 43.5 19521231 20200624 474110 99999 OTARU JA 43.183 141.017 26.3 19521231 20200624 474120 99999 SAPPORO JA 43.067 141.333 26.2 19521231 20200624 474130 99999 IWAMIZAWA JA 43.217 141.783 51.5 19521231 20200624 474150 99999 SAPPORO/KENASHIYAMA JA 43.133 141.017 700.0 19990109 20010725 474170 99999 OBIHIRO JA 42.917 143.217 43.7 19521231 20200624 474180 99999 KUSHIRO/KENEBETSU JA RJCS 42.983000000000004 144.4 37.0 19521231 20200624 474200 99999 NEMURO JA 43.333 145.583 27.2 19521231 20200624 474210 99999 SUTTSU JA 42.8 140.217 35.1 19521231 20200624 474230 99999 MURORAN/YAKUMO JA RJCY 42.317 140.983 49.0 19521231 20200624 474240 99999 TOMAKOMAI JA 42.617 141.55 7.9 19521231 20200624 474250 99999 NEW CHITOSE JA RJCC 42.775 141.692 25.0 19451031 20200624 474260 99999 URAKAWA JA 42.167 142.783 38.5 19521231 20200624 474270 99999 ERIMO (CAPE/LGT-H) JA 41.917 143.25 63.0 19730101 20020520 474280 99999 ESASHI JA 41.867 140.11700000000002 12.1 19521231 20200624 474290 99999 MORI JA 42.1 140.567 27.0 19521231 19641231 474300 99999 HAKODATE JA 41.817 140.75 43.9 19521231 20200624 474310 99999 ESAN (CAPE/LGT-H) JA 41.817 141.183 36.0 19730101 20020109 474320 99999 HAKODATE/YOKOTSUDAKE JA 41.933 140.783 1111.0 19990127 19991124 474330 99999 KUTCHAN JA 42.9 140.75 188.1 19730101 20200624 474340 99999 CHITOSE JA RJCJ 42.794 141.666 26.5 19880901 20200624 474350 99999 MOMBETSU JA 44.35 143.35 17.7 19730101 20200624 474400 99999 HIROO JA 42.3 143.317 34.2 19730101 20200624 474410 99999 WAKKANAI JA RJCW 45.403999999999996 141.80100000000002 9.1 19730101 20200624 474415 99999 REBUN ISLAND JA RJCR 45.45 141.033 27.0 19790911 20001002 474510 99999 AONAE (LGT-H) JA 42.05 139.45 16.0 19730101 19900328 474520 99999 SHAKOTAN (CAPE/LH) JA 43.367 140.467 117.0 19730101 20020512 474720 99999 RISHIRI AIRPORT JA 45.233000000000004 141.2 33.0 19990128 20020421 474740 99999 MONBETSU JA RJEB 44.303999999999995 143.404 24.4 19730401 20200624 474760 99999 ASAHIKAWA JA RJEC 43.67100000000001 142.44799999999998 219.8 19730101 20200624 474770 99999 ASAHIKAWA JA RJCA 43.795 142.363 114.9 19730103 20200624 474780 99999 BOGUS JAPANESE JA 19870306 20020610 474790 99999 SAPPORO JA RJCO 43.11600000000001 141.38 7.6 19730101 20200624 474800 99999 MEMAMBETSU JA 43.917 144.183 40.0 19981224 20011010 474810 99999 MEMANBETSU JA RJCM 43.881 144.164 41.1 19730101 20200624 474830 99999 NAKASHIBETSU JA RJCN 43.578 144.96 71.3 19730410 20200624 474870 99999 NEW CHITOSE AIRPORT JA 42.783 141.7 21.3 20070226 20070228 474880 99999 HAKODATE JA RJCH 41.77 140.822 46.0 19730101 20200624 474890 99999 KUSHIRO JA RJCK 43.041000000000004 144.19299999999998 99.7 19730101 20200624 474900 99999 OBIHIRO JA RJCB 42.733000000000004 143.217 153.9 19730101 20200624 474905 99999 TOKACHI JA RJCT 42.891000000000005 143.158 85.6 19810506 20200624 475000 99999 WAJIMA JA 37.383 136.9 14.0 19990429 20021008 475120 99999 OFUNATO JA 39.067 141.717 38.4 19730101 20200624 475125 99999 OJIKA JA 19860125 19890531 475150 99999 HACHINOHE JA RJSH 40.556 141.466 46.3 19730101 20200624 475160 99999 OMINATO (JASDF) JA RJSO 41.233000000000004 141.13299999999998 10.0 19730101 20140701 475170 99999 OMINATO JA 41.233000000000004 141.15 10.0 19750407 20020618 475200 99999 SHINJO JA 38.75 140.317 102.0 19730101 20200624 475420 99999 AOMORI JA RJSA 40.735 140.691 202.4 19730101 20200624 475450 99999 AKITA JA RJSK 39.616 140.219 95.4 19730101 20200624 475490 99999 HANAMAKI JA RJSI 39.429 141.135 90.5 19730101 20200624 475530 99999 YAMAGATA JA RJSC 38.412 140.371 107.6 19730101 20200624 475570 99999 FUKUSHIMA JA RJSF 37.227 140.431 372.2 19950826 20200624 475670 99999 KASUMINOME (JASDF) JA RJSU 38.233000000000004 140.917 10.0 19730103 20140701 475690 99999 SENDAI JA RJSS 38.14 140.917 4.6 19730101 20200624 475700 99999 WAKAMATSU JA 37.483000000000004 139.917 213.6 19730101 20200624 475720 99999 NIIGATA/YAHIKOYAMA JA 37.717 138.817 634.0 19740802 20011224 475730 43318 NIIGATA AIRPORT JA RJSN 37.95 139.11700000000002 4.0 19730101 20200624 475730 99999 NIIGATA JA RJSN 37.955999999999996 139.121 8.8 20000101 20041231 475740 99999 FUKAURA JA 40.65 139.933 68.0 19730101 20200624 475750 99999 AOMORI JA 40.817 140.767 4.1 19730101 20200624 475760 99999 MUTSU JA 41.283 141.217 4.8 19730101 20200624 475770 99999 SHIRIYA POINT JA 41.433 141.467 16.0 19730101 20011002 475800 44402 MISAWA NAVAL AIR STATION JA RJSM 40.7 141.36700000000002 35.1 20050101 20200624 475800 99999 MISAWA AB JA RJSM 40.705 141.372 39.0 19480408 20041231 475805 99999 MISAWA (USAF) JA KQSM 40.683 141.4 36.0 19800227 20011215 475810 99999 HACHINOHE JA 40.533 141.517 28.5 19730101 20200624 475820 99999 AKITA JA 39.717 140.1 21.8 19521231 20200624 475830 99999 ODATE NOSHIRO JA RJSR 40.192 140.371 89.0 19800302 20200624 475840 99999 MORIOKA JA 39.7 141.167 155.4 19521231 20200624 475850 99999 MIYAKO JA 39.65 141.967 47.0 19521231 20200624 475860 99999 TODOGA (LGT-H) JA 39.55 142.083 28.0 19730101 19740531 475870 99999 SAKATA JA 38.917 139.85 4.8 19521231 20200624 475874 99999 SHONAI JA RJSY 38.812 139.787 26.2 19920508 20200624 475880 99999 YAMAGATA JA 38.25 140.35 153.7 19521231 20200624 475900 99999 SENDAI JA 38.266999999999996 140.9 43.8 19541214 20200624 475910 99999 MATSUSHIMA JA RJST 38.405 141.22 2.1 19480229 20200624 475920 99999 ISHINOMAKI JA 38.433 141.3 42.9 19730101 20200624 475930 99999 KINKASAN (LGT-H) JA 38.266999999999996 141.583 47.0 19730101 19941029 475950 99999 FUKUSHIMA JA 37.766999999999996 140.467 69.3 19730101 20200624 475954 99999 FUKUSHIMA ARPT JA 37.233000000000004 140.433 375.0 19930408 19950907 475970 99999 SHIRAKAWA JA 37.133 140.217 356.7 19730101 20200624 475980 99999 ONAHAMA JA 36.95 140.9 5.1 19730101 20200624 475990 99999 SHIOY (LGT-H) JA 37.0 140.983 52.0 19730101 19741029 476000 99999 WAJIMA JA 37.383 136.9 6.7 19730101 20200624 476010 99999 HEGURASHIMA (LGT-H) JA 37.85 136.917 14.0 19730101 20020925 476020 99999 AIKAWA JA 38.033 138.233 7.2 19730101 20200624 476030 99999 HAJIKI (LGT-H) JA 38.333 138.517 57.0 19730101 19820328 476040 99999 NIIGATA JA 37.9 139.017 5.7 19730101 20200624 476050 99999 KANAZAWA JA 36.583 136.63299999999998 33.7 19730101 20200624 476060 99999 FUSHIKI JA 36.8 137.05 13.1 19730101 20200624 476070 99999 TOYAMA JA 36.717 137.2 17.3 19730101 20200624 476100 99999 NAGANO JA 36.667 138.2 419.9 19730101 20200624 476110 99999 NAGANO/KURUMAYAMA JA 36.1 138.2 1925.0 19870102 19890811 476120 99999 TAKADA JA 37.1 138.25 14.6 19730101 20200624 476150 99999 UTSUNOMIYA JA 36.55 139.86700000000002 140.3 19730101 20200624 476160 99999 FUKUI JA 36.05 136.217 17.4 19730101 20200624 476170 99999 TAKAYAMA JA 36.15 137.25 561.9 19730101 20200624 476180 99999 MATSUMOTO JA 36.25 137.967 611.6 19730101 20200624 476200 99999 SUWA JA 36.05 138.11700000000002 762.6 19730101 20200624 476220 99999 KARUIZAWA JA 36.35 138.55 1004.8 19730101 20200624 476240 99999 MAEBASHI JA 36.4 139.067 114.4 19521231 20200624 476260 99999 KUMAGAYA JA 36.15 139.38299999999998 31.8 19521231 20200624 476270 99999 TSUKSBASAN (MOUNT) JA 36.217 140.1 870.0 19521231 20091014 476280 99999 KAKIOKA JA 36.233000000000004 140.183 34.0 19800402 20021221 476290 99999 MITO JA 36.383 140.467 30.7 19521231 20200624 476310 99999 TSURUGA JA 35.65 136.067 12.4 19521231 20200624 476320 99999 GIFU JA 35.4 136.767 17.0 19521231 20200624 476340 99999 GIFU JA RJNG 35.394 136.87 39.0 19730101 20200624 476345 99999 CHUBU CENTRAIR INTL JA RJGG 34.858000000000004 136.805 4.6 20050217 20200624 476350 99999 NAGOYA JA RJNA 35.255 136.924 15.8 19461031 20200624 476360 99999 NAGOYA JA 35.167 136.967 56.3 19521231 20200624 476370 99999 IIDA JA 35.516999999999996 137.817 528.9 19521231 20200624 476380 99999 KOFU JA 35.667 138.55 281.5 19521231 20200624 476390 99999 FUJISAN JA 35.367 138.733 3777.5 19521231 20200624 476400 99999 KAWAGUCHIKO JA 35.5 138.767 861.3 19521231 20200624 476410 99999 CHICHIBU JA 35.983000000000004 139.067 233.7 19521231 20200624 476420 43313 YOKOTA AB JA RJTY 35.75 139.35 142.0 19990101 20200624 476420 99999 YOKOTA AB JA RJTY 35.748000000000005 139.34799999999998 141.1 19471101 20041231 476430 99999 IRUMA JA RJTJ 35.842 139.411 89.9 19460930 20200624 476435 99999 SOMAGAHARA (JGSDF) HELIPAD JA RJTS 36.433 138.95 395.0 20090201 20200624 476440 99999 KIYOSE JA 35.783 139.533 -999.9 20031127 20040921 476460 99999 TATENO JA 36.05 140.13299999999998 31.0 19791102 20020601 476480 99999 CHOSHI JA 35.733000000000004 140.85 28.1 19521231 20200624 476490 99999 UENO JA 34.766999999999996 136.15 161.0 19521231 20200624 476500 99999 SEKI JA 34.85 136.467 71.0 19521231 19641231 476510 99999 TSU JA 34.733000000000004 136.517 18.4 19521231 20200624 476530 99999 IRAKO JA 34.633 137.1 7.7 19521231 20200624 476540 99999 HAMAMATSU JA 34.75 137.717 47.7 19521231 20200624 476550 99999 OMAEZAKI JA 34.6 138.217 46.8 19521231 20200624 476560 99999 SHIZUOKA JA 34.983000000000004 138.4 15.9 19521231 20200624 476570 99999 MISHIMA JA 35.117 138.933 21.9 19521231 20200624 476580 99999 SHIZUHAMA JA RJNY 34.813 138.298 7.0 19730101 20200624 476600 99999 TACHIKAWA (JASDF) JA RJTC 35.7 139.4 98.0 19451115 20140701 476610 43321 KISARAZU AB JA RJTK 35.4 139.917 6.0 19730103 20200624 476610 99999 KISARAZU JA RJTK 35.398 139.91 3.0 20000101 20041228 476620 99999 TOKYO JA RJTD 35.683 139.767 36.0 19521231 20200624 476630 99999 OWASE JA 34.067 136.2 17.1 19521231 20200624 476650 99999 DAI (LGT-H) JA 34.266999999999996 136.9 27.0 19730101 20050116 476660 99999 IROZAKI JA 34.6 138.85 53.2 19521231 20200624 476680 99999 AJIRO JA 35.05 139.1 67.9 19521231 20200624 476700 99999 YOKOHAMA JA 35.433 139.65 42.7 19730101 20200624 476710 99999 TOKYO INTL JA RJTT 35.552 139.78 10.7 19460911 20200624 476713 99999 ICHIGAYA JA RJAI 35.68 139.72 31.0 19900725 20200624 476720 99999 TATEYAMA JA 34.983000000000004 139.86700000000002 7.1 19730101 20200624 476730 99999 TOKISAKI JA 34.917 139.833 13.7 19521231 19641231 476740 99999 KATSUURA JA 35.15 140.317 13.5 19521231 20200624 476741 99999 AMAKUSA JA RJDA 32.483000000000004 130.159 103.6 20040706 20200624 476742 99999 NOTO JA RJNW 37.293 136.96200000000002 218.8 20040706 20200624 476750 99999 OSHIMA JA 34.75 139.36700000000002 75.5 19521231 20200624 476760 99999 NIIJIMA ISLAND JA 34.367 139.25 10.0 19521231 20020426 476770 99999 MIYAKEJIMA JA 34.117 139.517 39.6 19521231 20200624 476780 99999 HACHIJOJIMA JA 33.117 139.783 152.6 19521231 20200624 476790 43319 ATSUGI US NAVAL AIR STATION JA RJTA 35.45 139.45 50.9 20050101 20200624 476790 99999 ATSUGI NAS JA RJTA 35.45 139.45 65.0 19450902 20041231 476794 99999 ATSUGI (NWSED) JA 35.45 139.467 61.0 19791209 19800212 476800 99999 KASTNER AAF / CAMP ZAMA JAPAN JA RJTR 35.514 139.394 111.9 19541214 20200624 476810 99999 HAMAMATSU JA RJNH 34.75 137.703 45.7 19730101 20200624 476820 99999 CHIBA JA 35.6 140.1 6.1 19730101 20200624 476830 99999 CHOFU AIRPORT JA RJTF 35.667 139.533 44.0 19541214 20200624 476840 99999 YOKKAICHI JA 34.933 136.583 57.1 19730101 20200624 476850 99999 MATSUSHIRO JA 36.55 138.217 440.0 19740902 20020518 476860 99999 NARITA INTL JA RJAA 35.765 140.386 43.0 19780519 20200624 476870 99999 TOKYO HELIPORT JA RJTI 35.633 139.85 8.0 19730101 20200624 476880 99999 TATEYAMA JA RJTE 34.986999999999995 139.829 3.0 19730101 20200624 476900 99999 NIKKO JA 36.733000000000004 139.5 1294.0 19521231 20200624 476920 99999 UTSUNOMIYA JA RJTU 36.515 139.871 101.8 19730101 20200624 476950 99999 TOKYO/KASHIWA JA 35.867 139.967 19.0 19890525 20020814 476960 43323 YOKOSUKA NAVAL STATION JA RJTX 35.283 139.667 49.1 19730101 20200316 476965 99999 YOKOSUKA REG MET HQ JA 35.3 139.667 10.0 19730105 19750515 477000 99999 SADO JA 38.05 138.417 26.0 19730101 20020824 477040 99999 KOMATSU JA RJNK 36.395 136.407 11.0 19730101 20200624 477050 99999 FUKUI/TOJIMBO JA 36.233000000000004 136.15 80.0 19990426 20020902 477060 99999 FUKUI JA RJNF 36.143 136.224 5.8 19730101 20070228 477070 99999 TOYAMA JA RJNT 36.648 137.188 29.0 19730101 20200624 477090 99999 MATSUMOTO JA RJAF 36.167 137.923 665.1 19730101 20200624 477150 99999 HYAKURI JA RJAH 36.181 140.415 32.0 19730101 20200624 477160 99999 KASUMIGAURA (JASDF) JA RJAK 36.033 140.2 29.0 19730103 20140701 477210 99999 FUJI (JASDF) JA RJAT 35.317 138.86700000000002 683.0 19730103 20140701 477270 99999 SHIMOFUSA JA RJTL 35.799 140.011 29.9 19730101 20200624 477300 99999 AKENO (JASDF) JA RJOE 34.533 136.683 9.0 19730103 20140701 477350 99999 OSHIMA JA RJTO 34.782 139.36 39.6 19730101 20200624 477370 99999 MIYAKEJIMA JA RJTQ 34.074 139.56 20.4 19730101 20020121 477380 99999 HACHIJOJIMA JA RJTH 33.115 139.786 92.4 19730101 20130331 477390 99999 SHIZUOKA AIRPORT JA RJNS 34.8 138.183 135.0 19730101 20200624 477400 99999 SAIGO JA 36.2 133.333 28.1 19521231 20200624 477410 99999 MATSUE JA 35.45 133.067 22.4 19521231 20200624 477420 99999 SAKAI JA 35.55 133.233 3.8 19521231 20200624 477430 99999 MIHO JA RJOH 35.492 133.236 6.1 19480831 20200624 477440 99999 YONAGO JA 35.433 133.333 8.5 19521231 20200624 477460 99999 TOTTORI JA 35.483000000000004 134.233 15.9 19521231 20200624 477470 99999 TOYOOKA JA 35.533 134.817 5.8 19521231 20200624 477473 99999 TAJIMA JA RJBT 35.513000000000005 134.787 178.0 19961020 20200624 477480 99999 KYOGA (LGT-H) JA 35.766999999999996 135.233 139.0 19740517 19900701 477490 99999 MAIZURU AB JA 35.483000000000004 135.38299999999998 9.0 20081207 20130429 477500 99999 MAIZURU JA 35.45 135.317 4.2 19521231 20200624 477505 99999 MAIZURU REG MET HQ JA 35.45 135.333 30.0 19730105 19750515 477510 99999 IBUKIYAMA MTN (AUT) JA 35.417 136.417 1377.0 19521231 20020220 477530 99999 MISHIMA (LGT-H) JA 34.75 131.15 72.0 19800902 19801216 477540 99999 HAGI JA 34.417 131.4 3.7 19521231 20200624 477550 99999 HAMADA JA 34.9 132.067 20.9 19521231 20200624 477560 99999 TSUYAMA JA 35.067 134.017 147.8 19521231 20200624 477590 99999 KYOTO JA 35.016999999999996 135.733 46.5 19451031 20200624 477610 99999 HIKONE JA 35.283 136.25 92.8 19521231 20200624 477620 99999 SHIMONOSEKI JA 33.95 130.933 19.5 19521231 20200624 477630 99999 WOFU JA 34.05 131.533 4.0 19521231 19641231 477640 43324 IWAKUNI JA RJOI 34.15 132.233 3.0 19730101 20041002 477641 43324 AIRFIELD & HARBOR OPERATIONS JA RJOI 34.15 132.233 2.1 20040401 20200624 477641 99999 IWAKUNI MCAS JA RJOI 34.15 132.233 2.0 20040713 20041231 477650 99999 HIROSHIMA JA 34.4 132.467 54.0 19521231 20200624 477660 99999 KURE JA 34.233000000000004 132.55 5.0 19521231 20200624 477665 99999 KURE REG MET HQ JA 34.233000000000004 132.567 4.0 19730105 19750515 477670 99999 FUKUYAMA JA 34.45 133.25 3.6 19521231 20200624 477680 99999 OKAYAMA JA 34.683 133.917 7.0 19521231 20200624 477690 99999 HIMEJI JA 34.833 134.667 39.7 19521231 20200624 477700 99999 KOBE JA 34.7 135.217 30.6 19521231 20200624 477710 99999 OSAKA INTL JA RJOO 34.786 135.438 15.2 19451101 20200624 477720 99999 OSAKA JA 34.683 135.517 83.0 19521231 20200624 477725 99999 KANSAI INTL JA 34.417 135.25 8.0 19950101 19950907 477730 99999 OSAKA/TAKAYASUYAMA JA 34.617 135.65 474.0 19991011 20010220 477740 99999 KANSAI INTL JA RJBB 34.433 135.233 7.9 19950827 20200624 477760 99999 SUMOTO JA 34.333 134.9 112.4 19521231 20200624 477770 99999 WAKAYAMA JA 34.233000000000004 135.167 18.0 19521231 20200624 477780 99999 SHIONOMISAKI JA 33.45 135.75 69.2 19521231 20200624 477790 99999 YAO JA RJOY 34.596 135.60299999999998 11.9 19730101 20200624 477800 99999 NARA JA 34.7 135.833 109.0 19530430 20200624 477820 99999 NANKI SHIRAHAMA JA RJBD 33.662 135.364 90.8 19730101 20200624 477830 99999 IWAMI JA RJOW 34.676 131.79 56.1 19940719 20200624 477840 99999 YAMAGUCHI JA 34.167 131.467 19.7 19730101 20200624 477860 99999 YAMAGUCHI UBE JA RJDC 33.93 131.279 7.0 19730101 20200624 477870 99999 OZUKI JA RJOZ 34.045 131.05200000000002 4.0 19730101 20200624 477880 99999 HOFU JA RJOF 34.035 131.549 2.1 19481025 20200624 477890 99999 HIROSHIMA JA RJOA 34.436 132.91899999999998 331.6 19730101 20200624 477895 99999 HIROSHIMANISHI JA RJBH 34.367 132.414 4.6 19940819 20110921 477900 99999 IZUMO JA RJOC 35.414 132.89 4.6 19730101 20200624 477910 99999 MATSUE/MISAKAYAMA JA 35.55 133.1 535.0 19990109 20020831 477920 99999 HIROSHIMA/HAIGAMINE JA 34.266999999999996 132.6 734.0 19780920 19990130 477930 99999 OKAYAMA JA RJOB 34.757 133.855 245.7 19730101 20200624 477940 99999 TOTTORI JA RJOR 35.53 134.167 19.8 19730101 20200624 477990 99999 TSUSHIMA JA RJDT 34.285 129.33100000000002 64.9 19800301 20200624 477991 99999 TSUSHIMA JA 34.3 129.3 3.0 19760422 19800227 478000 99999 IZUHARA JA 34.198 129.292 3.7 19521231 20200624 478010 99999 BOGUS JAPANESE JA 19870102 20020324 478030 99999 ASHIYA JA RJFA 33.883 130.653 29.9 19451231 20200624 478050 99999 HIRADO JA 33.367 129.55 58.7 19521231 20200624 478060 99999 FUKUOKA/SEFURISAN JA 33.433 130.35 960.0 19791103 20051020 478070 99999 FUKUOKA JA 33.583 130.38299999999998 15.0 19521231 20200624 478080 99999 FUKUOKA JA RJFF 33.586 130.451 9.8 19460906 20200624 478090 99999 IIZUKA JA 33.65 130.7 37.9 19521231 20200624 478100 99999 SAGA JA RJFS 33.15 130.30200000000002 1.8 19990115 20200624 478110 43285 NAVSTA JA RJFW 33.167 129.717 3.3 19870326 20070509 478110 99999 SASEBO JA RJFW 33.167 129.733 22.0 20000102 20041229 478120 99999 SASEBO JA 33.167 129.733 5.6 19521231 20200624 478123 99999 KAMIGOTO JA RJDK 33.016999999999996 129.183 20.0 19820625 20200325 478124 99999 OJIKA ISLAND JA RJDO 33.217 129.05 20.0 19890715 19990129 478125 99999 SASEBO REG MET HQ JA 33.167 129.717 17.0 19730105 19750515 478130 99999 SAGA JA 33.266999999999996 130.3 33.0 19521231 20200624 478140 99999 HITA JA 33.317 130.933 84.4 19521231 20200624 478150 99999 OITA JA 33.233000000000004 131.61700000000002 13.5 19521231 20200624 478160 99999 IKITSUKIJIMA JA 33.433 129.433 85.0 19521231 19620430 478170 99999 NAGASAKI JA 32.733000000000004 129.86700000000002 35.9 19521231 20200624 478180 99999 UNZENDAKE JA 32.733000000000004 130.267 679.8 19521231 20200624 478190 99999 KUMAMOTO JA 32.817 130.7 39.4 19521231 20200624 478210 99999 ASOSAN JA 32.883 131.067 1144.4 19521231 20171211 478220 99999 NOBEOKA JA 32.583 131.65 21.0 19610731 20200624 478230 99999 AKUNE JA 32.033 130.2 42.2 19521231 20200624 478240 99999 HITOYOSHI JA 32.217 130.75 147.7 19521231 20200624 478250 99999 HOSOSHIMA (LGT-H) JA 32.417 131.683 96.0 19730101 19810519 478260 99999 TSURIKAKE (LGT-H) JA 31.616999999999997 129.7 147.0 19730101 19840527 478270 99999 KAGOSHIMA JA 31.55 130.55 31.7 19521231 20200624 478290 99999 MIYAKONOJO JA 31.733 131.083 155.7 19521231 20200624 478300 99999 MIYAZAKI JA 31.933000000000003 131.417 15.0 19521231 20200624 478310 99999 MAKURAZAKI JA 31.267 130.3 31.4 19521231 20200624 478320 99999 SATA (LGT-H) JA 30.983 130.667 56.0 19730101 19860405 478330 99999 KANOYA JA 31.416999999999998 130.88299999999998 105.0 20010710 20020602 478340 99999 TOI (LGT-H) JA 31.366999999999997 131.35 234.0 19730101 19740531 478350 99999 ABURATSU JA 31.583000000000002 131.4 14.6 19521231 20200624 478360 99999 YAKUSHIMA JA RJFC 30.386 130.659 37.8 19521231 20200624 478370 99999 TANEGASHIMA JA 30.717 130.983 37.6 19521231 20200624 478380 99999 USHIBUKA JA 32.2 130.033 15.0 19521231 20200624 478400 99999 TSUIKI JA RJFZ 33.685 131.04 16.8 19730101 20200624 478420 99999 MESHIMA JA 31.983 128.35 110.0 19730101 20060930 478430 99999 FUKUE JA 32.7 128.833 26.9 19620430 20200624 478440 99999 FUKUE JA RJFE 32.666 128.833 83.2 19730101 20200624 478450 99999 KUSAGKISHIMA(LGT-H) JA 30.85 129.467 130.0 19730101 20020209 478460 99999 GAJASHIMA (LGT-H) JA 29.916999999999998 129.533 196.0 19730101 20020422 478490 99999 UCHINOURA JA 31.25 131.083 277.0 19920901 19980624 478500 99999 KANOYA JA RJFY 31.368000000000002 130.845 65.2 19450918 20200624 478510 99999 KAGOSHIMA JA RJFK 31.803 130.719 276.1 19730101 20200624 478520 99999 OITA JA RJFO 33.479 131.737 5.8 19730101 20200624 478530 99999 KITAKYUSHU JA RJFR 33.836 130.947 5.5 19730101 20200624 478540 99999 NYUTABARU JA RJFN 32.084 131.451 78.9 19580430 20200624 478550 99999 NAGASAKI JA RJFU 32.917 129.914 4.6 19730101 20200624 478560 99999 KUMAMOTO JA RJFT 32.836999999999996 130.855 195.7 19730101 20200624 478570 99999 MIYAZAKI JA RJFM 31.877 131.44899999999998 6.1 19730101 20200624 478580 99999 IKI JA RJDB 33.749 129.785 15.8 19730101 20060331 478590 99999 OMURA AB JA 32.933 129.933 8.8 20130301 20130430 478600 99999 METABARU (JASDF) JA RJDM 33.317 130.417 19.0 19730103 20140701 478690 99999 TANEGASHIMA/NAKATANE JA 30.633000000000003 130.983 281.0 19990325 20020923 478700 99999 TANEGASHIMA JA RJFG 30.546999999999997 130.95 97.2 19730101 20200624 478710 99999 19730101 19760305 478720 99999 AMAMI JA RJKA 28.430999999999997 129.713 8.2 19730101 20200624 478724 99999 KIKAI JA RJKI 28.320999999999998 129.928 6.4 19801129 20200624 478800 99999 TAKAMATSU JA RJOT 34.214 134.016 185.0 19730101 20200624 478810 99999 TOKUSHIMA JA RJOS 34.133 134.607 7.9 19730101 20200624 478820 99999 MATSUYAMA JA RJOM 33.827 132.7 7.6 19730101 20200624 478830 99999 KOCHI JA RJOK 33.546 133.66899999999998 12.8 19730101 20200624 478840 99999 KOMATSUJIMA (JASDF) JA RJOP 34.0 134.63299999999998 6.0 19730101 20140701 478850 99999 SHIMIZU JA 32.783 132.967 4.0 19881027 19900624 478860 99999 SADA (LGT-H) JA 33.333 132.017 32.0 19740517 19851231 478870 99999 MATSUYAMA JA 33.85 132.783 34.3 19521231 20200624 478880 99999 BOGUS JAPANESE JA 19890502 20020205 478900 99999 TADOTSU JA 34.283 133.75 4.8 19521231 20200624 478910 99999 TAKAMATSU JA 34.317 134.05 14.0 19521231 20200624 478920 99999 UWAJIMA JA 33.233000000000004 132.55 14.8 19521231 20200624 478930 99999 KOCHI JA 33.567 133.55 4.9 19521231 20200624 478940 99999 TSURUGISAN JA 33.85 134.1 1946.0 19521231 20040408 478950 99999 TOKUSHIMA JA 34.067 134.567 6.4 19521231 20200624 478960 99999 TOSAOKINOSHIMA (LH) JA 32.7 132.55 162.0 19740517 19851231 478970 99999 SUKUMO JA 32.917 132.7 10.9 19521231 20200624 478980 99999 SHIMIZU JA 32.717 133.017 33.8 19521231 20200624 478990 99999 MUROTOMISAKI JA 33.25 134.183 186.9 19521231 20200624 479070 99999 TOKUNOSHIMA AIRPORT JA 27.833000000000002 128.88299999999998 5.0 20010831 20030212 479090 99999 NAZE/FUNCHATOGE JA 28.394000000000002 129.553 294.1 19521231 20200624 479100 99999 TOKUNOSHIMA JA RJKN 27.836 128.881 5.2 19760601 20200624 479110 99999 YONAGUNI JA ROYN 24.467 122.978 21.3 19870214 20200624 479120 99999 YONAGUNIJIMA JA 24.467 123.01700000000001 36.5 19730101 20200624 479170 99999 IRIOMOTEJIMA JA 24.433000000000003 123.76700000000001 11.2 19751201 20200624 479180 99999 ISHIGAKI JA ROIG 24.345 124.18700000000001 28.3 19730101 20200624 479185 99999 YONAGUNI-JIMA JA 24.467 122.98299999999999 21.0 19780330 19900709 479186 99999 HATERUMA JA RORH 24.066999999999997 123.8 13.0 19790911 19990129 479190 99999 NEW ISHIGAKI AIRPORT JA 24.4 124.25 31.1 19991120 20020821 479210 99999 BOGUS JAPANESE JA 19870216 20011207 479260 99999 MIYAKO AIRPORT JA 24.783 125.3 42.7 19890220 20030928 479270 99999 MIYAKO JA ROMY 24.783 125.295 45.7 19730101 20200624 479275 99999 TARAMA JA RORT 24.654 124.675 11.0 19790911 19990814 479276 99999 SHIMOJISHIMA JA RORS 24.826999999999998 125.145 16.5 19790911 20200624 479280 99999 KUMEJIMA AIRPORT JA 26.366999999999997 126.71700000000001 10.0 19881204 20020423 479290 99999 KUMEJIMA JA ROKJ 26.364 126.714 7.0 19740517 20200624 479300 99999 NAHA JA ROAH 26.195999999999998 127.646 3.7 19451111 20200624 479310 42204 KADENA AB JA RODN 26.35 127.76700000000001 48.0 19990101 20200624 479310 99999 KADENA AB JA RODN 26.355999999999998 127.76799999999999 43.6 19460101 20041231 479330 42215 OKINAWA MARINE CORPS AIR STATION JA ROTM 26.267 127.75 75.3 19730101 20200624 479350 99999 HAMBY AAF/BUCKNER JA ROHF 26.3 127.76700000000001 6.0 19630825 20050313 479360 99999 NAHA JA 26.2 127.68299999999999 50.1 19730101 20200624 479365 99999 KERAMA JA ROKR 26.166999999999998 127.3 48.0 19990114 19990129 479370 99999 NAHA/ITOKAZU JA 26.15 127.76700000000001 180.0 19791102 20020525 479380 99999 IE SHIMA AUX AB JA RODE 26.729 127.762 56.1 19450515 19991126 479385 99999 IE JIMA JA RORE 26.721999999999998 127.785 75.0 19750808 19760214 479386 99999 AGUNI ISLAND JA RORA 26.6 127.23299999999999 29.0 19840605 19990129 479400 99999 NAGO JA 26.6 127.96700000000001 7.1 19751201 20200624 479405 99999 19741219 19750206 479420 99999 OKIERABU JA RJKB 27.426 128.701 30.8 19730101 20200624 479425 99999 YORON JA RORY 27.044 128.40200000000002 15.8 19790911 20200624 479430 99999 OKINO-DAITO-SHIMA JA 24.467 131.233 0.0 19800306 19840612 479440 99999 MINAMIDAITO JA 25.85 131.233 4.0 20040831 20040908 479450 99999 MINAMI DAITO JA ROMD 25.846999999999998 131.263 50.9 19730101 20200624 479455 99999 KITADAITO JA RORK 25.945 131.327 24.4 19800402 20200624 479710 42402 CHICHIJIMA JA RJAO 27.092 142.191 8.0 19730101 20200624 479710 99999 CHICHIJIMA ISLAND JA RJAO 27.083000000000002 142.183 8.0 20000101 20041231 479810 99999 IWOTO JA RJAW 24.784000000000002 141.32299999999998 115.2 19450301 20200624 479910 99999 MINAMI TORISHIMA JA RJAM 24.29 153.97899999999998 6.7 19730101 20200624 479995 99999 ICHIKAWA & JA 35.683 139.733 31.0 19761222 19900709 480010 99999 PUTAO BM VBPT 27.333000000000002 97.417 409.0 19430301 20200624 480040 99999 HKAMTI BM 26.0 95.7 146.0 19820306 20200624 480080 99999 MYITKYINA BM VBMK 25.366999999999997 97.4 147.0 19440713 20200624 480100 99999 HOMALIN BM VBHL 24.866999999999997 94.917 131.0 19730101 20200624 480170 99999 PINLEBU BM 24.083000000000002 95.367 259.0 20020408 20030612 480180 99999 KATHA BM 24.166999999999998 96.333 95.0 19550701 20200624 480190 99999 BHAMO BM VBBM 24.267 97.2 113.0 19450208 20200624 480200 99999 MAWLAIK BM 23.633000000000003 94.417 116.0 19830508 20200624 480240 99999 KALEMYO BM 23.2 94.06700000000001 152.0 19450205 20070710 480250 99999 KALEWA BM 23.2 94.3 109.0 19730101 20200624 480300 99999 HAKHA BM 22.65 93.633 1866.0 20120403 20200624 480310 99999 FALAM BM 22.916999999999998 93.68299999999999 1372.0 19730101 20200624 480330 99999 SHWEBO BM 22.583000000000002 95.71700000000001 110.0 19450131 20200624 480340 99999 BOGUS BURMESE BM 19830701 19881208 480350 99999 LASHIO BM VBLS 22.933000000000003 97.75 749.0 19450318 20200624 480360 99999 GANGAW BM 22.166999999999998 94.133 214.0 20011003 20020907 480370 99999 MONYWA BM 22.1 95.133 82.0 19450221 20200624 480400 99999 HSIPAW BM 22.6 97.3 436.0 19730816 20150429 480420 99999 MANDALAY BM VBRM 21.983 96.1 76.0 19470405 20200624 480450 99999 MINDAT BM 21.383000000000003 93.95 1395.0 19730101 20200624 480460 99999 PAKOKKU (DEAD) BM 21.333000000000002 95.083 57.0 19730101 19790818 480470 99999 MYINGYAN BM 21.467 95.383 60.0 19450331 20150609 480480 99999 NYAUNG-U BM 21.2 94.917 55.0 20010705 20200624 480510 99999 KYAUKTAW BM 20.85 92.633 3.0 20120410 20200624 480520 99999 CHAUK (DEAD) BM 20.9 94.833 82.0 19870518 19870518 480530 99999 MEIKTILA BM VBML 20.833000000000002 95.833 220.0 19450315 20200624 480570 99999 TAUNGGYI BM 20.783 97.05 1436.0 19500821 20200624 480580 99999 LOILEM BM 20.916999999999998 97.55 1355.0 19730809 20031230 480600 99999 KENGTUNG BM VBKG 21.3 99.617 828.0 19581122 20200624 480620 99999 SITTWE BM VYSW 20.133 92.87299999999999 8.2 19450302 20200624 480640 99999 MINBU BM 20.167 94.883 51.0 19581122 20200624 480670 99999 YAMETHIN BM 20.417 96.15 199.0 19520812 20150609 480680 99999 PINLAUNG BM 20.133 96.76700000000001 1463.0 20010906 20040420 480700 99999 MONGHSAT BM 20.55 99.26700000000001 572.0 19740730 20080308 480710 99999 KYAUKPYU BM VBKP 19.417 93.55 5.0 19490101 20200624 480720 99999 MANAUNG BM 18.85 93.73299999999999 9.1 20120410 20200624 480740 99999 PYINMANA BM 19.717 96.21700000000001 104.0 19540515 20200624 480750 99999 LOIKAW BM 19.683 97.21700000000001 895.0 19581122 20200624 480770 99999 PROME BM VBPR 18.8 95.21700000000001 60.0 19500622 20200624 480780 99999 TOUNGOO BM 18.917 96.46700000000001 49.0 19500408 20200624 480800 99999 SANDOWAY BM VBSY 18.467 94.35 11.0 19490101 20200624 480850 99999 GWA BM 17.583 94.583 3.0 20120403 20200624 480870 99999 HINTHADA BM 17.667 95.417 26.0 19740805 20200624 480880 99999 THARRAWADDY BM 17.633 95.8 15.0 19510303 20040508 480890 99999 SHWEGYIN BM 17.917 96.867 14.0 20011028 20030327 480920 99999 BOGUS BURMESE BM 19830701 20020529 480930 99999 BAGO BM 17.333 96.5 15.0 19540520 20200624 480940 99999 PATHEIN BM VBBS 16.767 94.76700000000001 10.0 19490101 20200624 480950 99999 MAUBIN BM 16.733 95.65 5.0 19540501 20200624 480960 99999 MINGALADON BM 16.9 96.18299999999999 29.0 19450901 20200624 480970 99999 YANGON INTL BM VYYY 16.907 96.133 33.2 19490417 20200624 480980 99999 THATON BM 16.917 97.367 17.0 20010706 20050530 480990 99999 HPAAN BM VBPA 16.75 97.667 10.0 19730101 20200624 481000 99999 BILIN (DEAD) BM 17.217 97.23299999999999 61.0 19800303 19840213 481010 99999 PHYAPON BM 16.267 95.667 2.1 19510921 20200624 481030 99999 MAWLAMYINE BM VBMM 16.5 97.617 22.0 19490929 20200624 481050 99999 19740429 19740429 481070 99999 YE BM 15.25 97.867 7.0 19730101 20200624 481080 99999 DAWEI BM VBTV 14.1 98.21700000000001 17.0 19490101 20200624 481090 99999 COCO ISLAND BM VBCI 14.117 93.367 3.0 19550114 20200624 481100 99999 MERGUI BM VBRN 12.433 98.6 37.0 19490101 20200624 481120 99999 VICTORIA POINT BM 9.967 98.583 47.0 19460101 20200624 483000 99999 MAE HONG SON TH VTCH 19.301 97.976 283.2 19540512 20200624 483006 99999 NAN/CHIANG KLANG TH VTCD 19.3 100.867 243.0 19730101 19740101 483007 99999 CHIANG KHAM (ARMY) TH VTCB 19.5 100.28299999999999 389.0 19731115 19740108 483009 99999 CHIANG KLANG TH VTND 19.3 100.867 243.0 19750821 19751121 483020 99999 DOI ANG KHANG TH 19.917 99.03299999999999 1530.0 20060429 20200624 483030 99999 CHIANG RAI TH VTCR 19.885 99.82700000000001 399.9 19560103 20200624 483031 99999 CHIANG RAI INTL TH VTCT 19.952 99.883 390.1 20050405 20200624 483032 99999 PHITSANULOK TH 16.8 100.76700000000001 44.0 20080101 20081231 483033 99999 NAKHON PHANOM TH VTUW 17.384 104.64299999999999 178.9 20050405 20200624 483034 99999 ROI ET TH VTUV 16.117 103.774 137.5 20050405 20200624 483035 99999 CHIANG RAI TH VTNR 19.883 99.833 416.0 19750501 19760518 483040 99999 CHAING RAI ARGOMET TH 19.867 99.76700000000001 401.0 20090801 20200624 483070 99999 TUNG CHANG TH 19.417 100.883 335.0 20050108 20200624 483100 99999 PHAYAO TH 19.192999999999998 99.9 398.9 19850413 20200624 483150 99999 THA WANG PHA TH 19.117 100.8 237.0 19740315 20200624 483240 99999 THOEN TH 17.633 99.25 192.0 20050108 20200624 483250 99999 MAE SARIANG TH VTCS 18.167 97.93299999999999 213.0 19540501 20200624 483260 99999 MAE JO AGROMET TH 18.917 99.0 318.0 20070705 20190503 483270 99999 CHIANG MAI INTL TH VTCC 18.767 98.963 315.8 19421231 20200624 483275 99999 CHIANG MAI INTL TH VTNC 18.767 98.96700000000001 316.0 19750501 19760518 483280 99999 LAMPANG TH VTCL 18.271 99.50399999999999 247.2 19500222 20200624 483290 99999 LAMPHUN TH 18.567 99.03299999999999 298.0 19850410 20200624 483300 99999 PHRAE TH VTCP 18.132 100.165 164.0 19520214 20200624 483310 99999 NAN TH VTCN 18.808 100.78299999999999 208.8 19490113 20200624 483315 99999 NAN TH VTNN 18.767 100.76700000000001 200.0 19750501 19760517 483330 99999 NAN AGROMET TH 18.867 100.75 264.0 20070705 20200624 483340 99999 LAMPANG AGROMET TH 18.317 99.28299999999999 319.0 20070705 20200624 483500 99999 LOEI AGROMET TH 17.4 101.73299999999999 264.0 20070707 20200624 483510 99999 UTTARADIT TH VTPU 17.617 100.1 64.0 19490103 20200624 483520 99999 NONG KHAI TH VTUM 17.867 102.75 175.7 19730101 20200624 483530 99999 LOEI TH VTUL 17.439 101.72200000000001 262.1 19540523 20200624 483540 99999 UDON THANI TH VTUD 17.386 102.788 176.5 19421231 20200624 483545 99999 UDORN AB (USAF) TH 17.367 102.8 178.0 19730402 19760518 483550 99999 SAKON NAKHON AGROMET TH 17.117 104.05 192.0 20070705 20200624 483560 99999 SAKON NAKHON TH VTUS 17.15 104.133 172.0 19490106 20200624 483565 99999 SAKON NAKHON TH VTUI 17.195 104.119 161.2 19750717 20200624 483570 99999 NAKHON PHANOM TH VTUP 17.417 104.78299999999999 148.0 19520707 20200624 483575 99999 19730101 19750504 483576 99999 NAKHON PHANOM WEST TH VTUW 17.383 104.65 176.0 19750501 19760518 483580 99999 NAKHON PHANOM AGROMET TH 17.433 104.78299999999999 153.0 20070705 20200624 483600 99999 NONGBUALAMPHU TH 17.217 102.417 228.0 20081231 20200624 483720 99999 SUKHOTHAI TH 17.1 99.8 50.0 20040608 20200624 483730 99999 SI SAMRONG AGROMET TH 17.167 99.867 54.0 20070705 20200624 483740 99999 LOMSAK TH 16.767 101.25 145.0 19850414 20200624 483750 99999 MAE SOT TH VTPM 16.7 98.545 210.3 19490103 20200624 483760 99999 TAK TH VTPT 16.896 99.25299999999999 145.7 19540526 20200624 483770 99999 BHUMIBOL DAM TH 17.233 99.05 144.0 19730101 20200624 483780 99999 PHITSANULOK TH VTPP 16.783 100.279 44.2 19490103 20200624 483785 99999 PHITSANULOK/SARIT TH VTPP 16.817 100.26700000000001 44.0 19750501 19760517 483790 99999 PHETCHABUN TH VTPB 16.676 101.195 137.2 19500501 20200624 483795 99999 SAK LONG TH VTPL 16.824 101.251 152.4 19750702 19750702 483800 99999 KAMPHAENG PHET TH 16.483 99.53299999999999 82.0 19760402 20200624 483810 99999 KHON KAEN TH VTUK 16.467 102.78399999999999 204.2 19490106 20200624 483815 99999 NAM PHUNG DAM SOUTH TH VTUF 16.95 103.98299999999999 274.0 19730219 19730418 483816 99999 MOUNG KHOM TH 14.8 100.617 76.0 19730103 19730921 483817 99999 KHON KAEN/NAM PHUNG TH VTUZ 16.65 102.96700000000001 240.0 19730117 19750131 483818 99999 NAM PHUNG DAM NORTH TH VTUE 16.967 103.98299999999999 320.0 19740809 19740818 483820 99999 KOSUMPHISAI TH 16.25 103.06700000000001 154.0 19861127 20200624 483830 99999 MUKDAHAN TH VTUB 16.533 104.71700000000001 140.0 19490113 20200624 483840 99999 THA PHRA AGROMET TH 16.333 102.81700000000001 166.0 20070705 20200624 483850 99999 UMPHANG TH 16.017 98.867 460.0 19850503 20200624 483860 99999 PICHIT AGROMET TH 16.333 100.367 39.4 20070705 20200624 483870 99999 DOI MU SOE AGROMET TH 16.75 98.93299999999999 368.0 19890613 20200624 483880 99999 19740429 19870519 483900 99999 KAMALASAI TH 16.333 103.583 140.9 20010705 20200624 484000 99999 NAKHON SAWAN TH VTPN 15.673 100.137 34.4 19490106 20200624 484005 99999 TA KHLI THAILAND AB TH VTPI 15.232999999999999 100.28299999999999 37.0 19651130 19750430 484006 99999 TAKHLI TH VTPI 15.277000000000001 100.296 32.6 19580930 19760518 484010 99999 TAKFA AGROMET TH 15.35 100.5 87.0 20070705 20200624 484020 99999 CHAINAT AGROMET TH 15.15 100.18299999999999 17.0 19871202 20200624 484030 99999 CHAIYAPHUM TH VTUC 15.8 102.03299999999999 184.0 19560801 20200624 484040 99999 ROI ET AGROMET TH 16.067 103.617 156.0 20070705 20200624 484050 99999 ROB MUANG TH VTUR 16.07 103.646 139.9 19490106 20200624 484070 99999 UBON RATCHATHANI TH VTUU 15.251 104.87 123.7 19490106 20200624 484075 99999 BURI RAM TH VTUO 15.23 103.25299999999999 179.8 19730402 20200624 484076 99999 SUKHOTHAI TH VTPO 17.238 99.818 54.6 19750501 20200624 484080 99999 UBON RATCHATHANI AGROMET TH 15.232999999999999 105.03299999999999 129.9 19730202 20200624 484085 99999 SARABURI TH VTBE 14.517000000000001 100.917 91.0 19730830 19731222 484090 99999 SI SAKET AGROMET TH 15.085 104.331 129.2 20070705 20200624 484130 99999 WICHIAN BURI TH 15.657 101.105 69.7 19740315 20200624 484150 99999 AYUTTHAYA TH 14.517000000000001 100.71700000000001 10.0 20070705 20200624 484160 99999 THA TUM TH 15.317 103.68299999999999 130.0 19740315 20200624 484180 99999 BUA CHUM TH 15.267000000000001 101.2 51.0 19740315 20200624 484190 99999 PATHUMTHANI TH 14.1 100.617 7.0 20070705 20200624 484200 99999 SAMUTPRAKAN AGROMET TH 13.517000000000001 100.75 3.0 20081001 20200624 484210 99999 THONG PHAPHUM TH 14.75 98.633 99.0 19740315 20200624 484250 99999 SUPHAN BURI TH 14.467 100.133 9.0 19490109 20200624 484260 99999 LOP BURI TH 14.8 100.617 11.0 19490103 20200624 484262 99999 LOP BURI/KOKE KATHI TH VTBL 14.883 100.667 30.0 19730101 19751029 484265 99999 MOUNG KHOM/CHANDY R TH 15.05 100.917 61.0 19730921 19750514 484266 99999 LOP BURI/KOKE KATHI TH 14.883 100.667 30.0 19750501 19760518 484267 99999 MOUNG KHOM/CHANDY R TH 15.05 100.917 61.0 19750501 19760518 484270 99999 U THONG AGROMET TH 14.3 99.867 7.0 20070705 20200624 484290 99999 SUVARNABHUMI INTER AIRPORT TH 13.683 100.76700000000001 6.0 20070801 20200624 484300 99999 KHAO E TO TH VTBI 14.078 101.38 24.4 19490103 20200624 484305 99999 KHAO KHEO TH 14.417 101.53299999999999 610.0 19730101 19750430 484306 99999 KHAO KHEO/GREEN HIL TH 14.417 101.53299999999999 610.0 19750501 19760518 484310 99999 KHORAT TH VTUN 14.935 102.079 222.2 19490102 20200624 484315 99999 NAKHON RATCHASIMA TH VTUQ 14.949000000000002 102.31299999999999 233.2 19730101 20200624 484316 99999 KORAT AB (USAF) TH 14.933 102.083 225.0 19730402 19760517 484320 99999 SURIN TH 14.883 103.5 147.0 19490103 20200624 484330 99999 SURIN AGROMET TH 14.883 103.45 145.0 20070705 20200624 484340 99999 CHOK CHAI TH 14.717 102.167 193.0 19850413 20200624 484350 99999 PAKCHONG AGROMET TH 14.633 101.31700000000001 388.0 20070705 20200624 484360 99999 NANGRONG TH 14.630999999999998 102.721 181.7 19850414 20200624 484370 99999 BURERAM TH 15.232999999999999 103.25 184.0 20040405 20200624 484390 99999 KABINBURI TH 13.982999999999999 101.7 12.0 19850409 20200624 484400 99999 SRAKAEW TH 13.783 102.03299999999999 43.0 20050207 20200624 484500 99999 KANCHANA BURI TH VTBG 14.017000000000001 99.53299999999999 29.0 19490109 20200624 484505 99999 19730101 19750928 484506 99999 KAMPHAENG SAEN TH VTMK 14.1 99.917 9.0 19750515 19760518 484510 99999 NAKHONPATHOM TH 14.017000000000001 99.96700000000001 10.0 20070705 20200624 484530 99999 BANG NA AGROMET TH 13.667 100.617 6.0 20070705 20200624 484540 99999 BANGKOK PORT TH 13.7 100.56700000000001 6.0 19950401 20200624 484550 99999 BANGKOK METROPOLIS TH 13.732999999999999 100.56700000000001 4.0 19490102 20200624 484560 99999 BANGKOK INTL TH VTBD 13.913 100.60700000000001 2.7 19421231 20200624 484565 99999 BANGKOK/DON MUANG TH VTMD 13.917 100.617 4.0 19750501 19760517 484570 99999 BANGKOK PILOT TH 13.383 100.6 15.0 19560104 20200624 484580 99999 CHACHOENGSAO AGROMET TH 13.567 101.454 70.2 20070705 20200624 484590 99999 CHON BURI/SATTAHIP TH VTBS 13.367 100.98299999999999 2.0 19490113 20200624 484600 99999 KO SICHANG TH 13.167 100.8 27.0 19620106 20200624 484610 99999 PHATTHAYA TH 12.917 100.867 61.0 19811101 20200624 484620 99999 ARANYAPRATHET TH 13.7 102.50399999999999 49.0 19490106 20200624 484630 99999 LAEM CHABANG TH 13.083 100.883 82.0 19950401 20200624 484640 99999 RATCHA BURI TH 13.482999999999999 99.78299999999999 5.0 20070705 20200624 484650 99999 PHETCHABURI TH VTBJ 12.999 100.06700000000001 3.8 19780101 20200624 484740 99999 NONG PHLUB AGROMET TH 12.583 99.73299999999999 108.0 20070705 20200624 484750 99999 HUA HIN TH VTPH 12.636 99.95200000000001 18.9 19490102 20200624 484770 99999 SATTAHIP TH VTBU 12.683 100.98299999999999 18.0 19490508 20200624 484775 99999 U-TAPHAO INTL(NAVY) TH 12.683 101.0 18.0 19660701 19910707 484776 99999 U-TAPAO AB (USAF) TH 12.683 101.01700000000001 18.0 19750122 19760522 484777 99999 BAN NONG PRU NE TH 13.133 101.03299999999999 18.0 19750501 19750520 484778 99999 SATTAHIP TH 12.65 100.95 7.0 19750501 19760518 484780 99999 RAYONG TH 12.633 101.35 5.0 19811101 20200624 484790 99999 HUAI PONG AGROMET TH 12.732999999999999 101.133 45.0 20070705 20200624 484800 99999 CHANTHABURI TH VTBC 12.6 102.117 4.0 19490116 20200624 484810 99999 PHLIU AGROMET TH 12.5 102.167 24.0 20070705 20200624 485000 99999 PRACHUAP TH VTBP 11.788 99.805 3.0 19490102 20200624 485005 99999 PRAN BURI TH VTBN 12.417 99.867 15.0 19730101 19730809 485006 99999 PRACHUAP KHIRI KHAN TH 11.8 99.8 3.0 19750501 19760518 485010 99999 KHLONG YAI TH 11.767000000000001 102.883 4.0 19490911 20200624 485170 99999 CHUMPHON TH VTSE 10.710999999999999 99.36200000000001 5.5 19490102 20200624 485200 99999 SAWI AGROMET TH 10.333 99.1 13.0 19780201 20200624 485320 99999 RANONG TH VTSR 9.777999999999999 98.585 17.4 19540517 20200624 485500 99999 KO SAMUI TH 9.467 100.05 5.0 19730101 20200624 485510 99999 SURAT THANI TH VTSB 9.133 99.13600000000001 6.1 19490109 20200624 485515 99999 SURAT THANI TH 9.133 99.367 5.0 19750501 19760517 485520 99999 CHA IAN TH VTSN 8.471 99.956 13.4 19490113 20200624 485530 99999 KHANOM TH 9.25 99.867 5.0 19950401 20030326 485540 99999 NAKHONSI THAMMARAT AGROMET TH 8.359 100.059 3.0 20070705 20200624 485550 99999 SURAT THANI AGROMET TH 9.1 99.633 37.0 20070705 20200624 485560 99999 PHRASANG TH 8.567 99.25 14.0 20041125 20200624 485570 99999 CHAWANG TH 8.433 99.51700000000001 30.0 20040811 20200624 485575 99999 NAKHON SI THAMMARAT TH VTSF 8.54 99.945 4.0 20050322 20200624 485576 99999 KRABI TH VTSG 8.099 98.986 25.0 20050329 20200624 485577 99999 SAMUI TH VTSM 9.548 100.06200000000001 19.5 20050322 20200624 485578 99999 TRAT TH VTBO 12.275 102.32 32.0 20050323 20200624 485600 99999 PHATTHALUNG AGROMET TH 7.582999999999999 100.167 4.0 20070705 20200624 485610 99999 TAKUA PA TH 8.683 98.25 4.0 19761101 20200624 485630 99999 KRABI TH 8.1 98.98299999999999 45.0 19950401 20200624 485640 99999 PHUKET TH 7.882999999999999 98.4 4.0 19490113 20200624 485650 99999 PHUKET INTL TH VTSP 8.113 98.31700000000001 25.0 19560126 20200624 485660 99999 KO LANTA TH 7.5329999999999995 99.05 3.0 19490122 20200624 485670 99999 TRANG TH VTST 7.5089999999999995 99.617 20.4 19620124 20200624 485680 99999 SONGKHLA TH VTSH 7.187 100.60799999999999 3.7 19421231 20200624 485685 99999 SONGKHLA TH 7.183 100.617 4.0 19750501 19760518 485690 99999 HAT YAI INTL TH VTSS 6.933 100.39299999999999 27.4 19730101 20200624 485700 99999 KHOUN KHAN TH VTSA 6.6610000000000005 100.08 5.5 19780101 20200624 485710 99999 KHO HONG AGROMET TH 7.0 100.5 10.0 20070705 20200624 485740 99999 SA-DAO TH 6.8 100.383 25.0 20040930 20200624 485800 99999 PATTANI TH VTSK 6.785 101.154 2.4 19730101 20200624 485806 99999 HAT YAI INTL (AFB)& TH 6.933 100.417 27.0 19730101 19730311 485810 99999 YALA AGROMET TH 6.517 101.28299999999999 36.0 20070705 20200624 485830 99999 NARATHIWAT TH VTSC 6.52 101.743 4.9 19490201 20200624 486000 99999 LANGKAWI INTL MY WMKL 6.33 99.729 8.8 19901210 20200624 486001 99999 MANDALAY INTL BM 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CH 36.967 120.583 72.0 19740504 20020709 547630 99999 YANTAI CH 37.55 121.4 25.0 19731108 20020520 547640 99999 FU-SHAN (?) CH 0.0 0.0 -999.0 19731109 20020605 547650 99999 YANTAI NORTHEAST CH 37.55 121.367 12.0 19560820 19611031 547720 99999 BOGUS CHINESE CH 19801004 20040628 547730 99999 BOGUS CHINESE CH 19801005 20020317 547740 99999 WEIHAI CH 37.45 122.03299999999999 61.0 19570601 20020930 547760 99999 CHENGSHANTOU CH 37.4 122.68299999999999 47.0 19570601 20200624 547900 99999 BOGUS CHINESE CH 19891001 19920529 548080 99999 XINXIAN CH 36.233000000000004 115.667 38.0 19570601 20200624 548230 99999 JINAN/TSINAN CH ZSTN 36.683 116.98299999999999 58.0 19560820 20200624 548260 99999 TAI SHAN CH 36.25 117.1 1536.0 19560820 20200624 548270 99999 TAI-AN CH 36.183 117.133 155.0 19570601 20020413 548300 99999 LIN-ZI CH 36.867 118.333 55.0 19570602 20020106 548360 99999 YIYUAN CH 36.183 118.15 302.0 19610701 20200624 548430 99999 WEIFANG CH 36.766999999999996 119.18299999999999 22.0 19560820 20200624 548460 99999 GAO-MI (?) 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105.8 487.0 19560820 19841226 572070 99999 YAN-MEN-BA (?) 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CH 0.0 0.0 -999.0 19740601 20010712 574450 99999 APPROXIMATE LOCALE CH 30.6 109.53299999999999 0.0 19731108 20070727 574470 99999 ENSHI CH 30.283 109.46700000000001 458.0 19450331 20200624 574480 99999 EN-SHI (CHI-AFB) CH 30.3 109.48299999999999 457.0 19740421 20020615 574500 99999 ZIGUI CH 31.017 110.7 442.0 19900401 20000216 574510 99999 LU-CONG-PO CH 30.783 110.26700000000001 1188.0 19570601 20010615 574570 99999 GUAN-DIAN-GOU (?) CH 0.0 0.0 -999.0 19740421 20020930 574580 99999 WU-FENG CH 30.2 110.667 915.0 19570601 20100424 574610 99999 YICHANG CH 30.733 111.367 257.7 19560820 20200624 574620 99999 YI-CHANG (CHI-AFB) CH 30.683000000000003 111.45 107.0 19730101 20020703 574660 99999 JIANG-KOU (?) CH 0.0 0.0 -999.0 19740425 20020425 574720 99999 SHA-YANG (?) CH 0.0 0.0 -999.0 19740425 20020825 574760 99999 JIANGLING CH 30.333000000000002 112.18299999999999 33.0 19570601 20200624 574770 99999 SHA-SHI (?) 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CH 0.0 0.0 -999.0 19740422 20020529 575320 99999 WEN-TOU CH 29.866999999999997 108.56700000000001 610.0 19800803 20050722 575370 99999 PENG-SHUI CH 29.25 108.167 314.9 19570701 19740831 575450 99999 LAIFENG CH 29.533 109.383 561.0 19450430 20100424 575540 99999 SANGZHI CH 29.4 110.167 322.0 19591101 20200624 575570 99999 SHA-DI-QI CH 29.05 110.133 455.0 19800311 20021225 575620 99999 SHI-MEN CH 29.583000000000002 111.3 91.0 19591102 20100424 575640 99999 CI-LI CH 0.0 0.0 -999.0 19740518 19830528 575690 99999 CHANG-DE (?) CH 0.0 0.0 -999.0 19740601 20020307 575720 99999 ZHI-ZHOU CH 29.733 112.3 76.0 19790903 20020605 575730 99999 JIAN-LI CH 29.816999999999997 112.883 27.0 19740805 20011003 575740 99999 ANXIANG CH 29.433000000000003 112.18299999999999 28.0 19591101 20100424 575760 99999 NAN XIAN SOUTH CH 29.333000000000002 112.417 31.0 19570601 19580731 575830 99999 PUQI CH 29.717 113.883 61.0 19570603 20100424 575840 99999 YUEYANG CH 29.383000000000003 113.083 52.0 19560820 20200624 575940 99999 CHONG-YANG (?) CH 0.0 0.0 -999.0 19800705 20020822 575970 99999 MA-AO (?) CH 0.0 0.0 -999.0 19740426 20020621 575980 99999 XIUSHUI CH 29.033 114.583 147.0 19560820 20200624 575990 99999 BOGUS CHINESE CH 0.0 0.0 -999.0 19731202 19850302 576020 99999 LUZHOU CH 28.883000000000003 105.43299999999999 336.0 19450630 20021231 576040 99999 NAXI CH 28.783 105.383 364.0 20030330 20200624 576060 99999 CH'IH-SHUI HO CH 28.483 105.93299999999999 977.0 19570701 20100424 576070 99999 DA-BA CH 0.0 0.0 -999.0 19740613 20020911 576080 99999 XUYONG/YONGNING CH 28.217 105.43299999999999 366.0 19591209 20100424 576140 99999 CHIU-HSI-SHUI SOUTH CH 28.566999999999997 106.083 289.0 19600201 19610222 576220 99999 JINFO SHAN (MOUNT) CH 28.95 107.15 1907.0 19560820 20020613 576230 99999 CHEN-NAN CH 0.0 0.0 -999.0 19740425 20020410 576320 99999 CHANG-PU-QI CH 0.0 0.0 -999.0 19740421 20020622 576330 99999 YOUYANG CH 28.833000000000002 108.76700000000001 665.0 19560820 20200624 576450 99999 HUA-YUAN CH 0.0 0.0 -999.0 19740425 20020406 576460 99999 APPROXIMATE LOCALE CH 28.5 109.833 0.0 19740423 20020927 576490 99999 QIAN-ZHOU-ZHEN CH 28.267 109.68299999999999 560.0 19600101 20100424 576530 99999 BOGUS CHINESE CH 0.0 0.0 -999.0 19740421 19840602 576550 99999 YUANLING CH 28.467 110.4 143.0 19560820 20200624 576590 99999 APPROXIMATE LOCALE CH 28.166999999999998 110.96700000000001 0.0 19740421 20020809 576620 99999 CHANGDE CH 29.05 111.68299999999999 35.0 19560820 20200624 576630 99999 HAN-SHOU (?) CH 0.0 0.0 -999.0 19800706 20020608 576650 99999 BOGUS CHINESE CH 0.0 0.0 -999.0 19740601 20041112 576660 99999 MA-JI-TANG (?) CH 0.0 0.0 -999.0 19731108 20120913 576670 99999 DARONGTANG SOUTHEAST CH 28.316999999999997 111.133 397.0 19740421 19740919 576690 99999 MEI-CHENG-ZHEN CH 28.15 111.633 201.0 19570602 20100424 576710 99999 YUANJIANG CH 28.85 112.383 27.0 19570602 20100424 576720 99999 YUAN-JIANG CH 0.0 0.0 -999.0 19731101 20020528 576760 99999 BOGUS CHINESE CH 0.0 0.0 -999.0 19740427 20020310 576770 99999 BOGUS CHINESE CH 19890101 20020921 576790 99999 CHANGSHA/DATUOPU CH ZGCS 28.2 113.083 46.0 19560820 19880714 576820 99999 PINGJIANG CH 28.75 113.617 88.0 19591101 20100424 576870 99999 CHANGSHA CH 28.116999999999997 112.78299999999999 120.0 19440214 20200624 576930 99999 SHI-MEN-LOU CH 28.983 114.85 152.0 19740427 20020709 576990 99999 SHANG-GAO CH 0.0 0.0 -999.0 19740425 20010819 577060 99999 BOGUS CHINESE CH 0.0 0.0 -999.0 19801001 20010715 577070 99999 BIJIE CH 27.3 105.23299999999999 1511.0 19560820 20200624 577080 99999 DA-FANG CH 27.15 105.6 1520.0 19731016 20020530 577120 99999 HUICHUAN CH 27.733 106.95 984.0 19800701 20200624 577130 99999 ZUNYI CH 27.7 106.883 845.0 19560820 20110108 577150 99999 BOGUS CHINESE CH 0.0 0.0 -999.0 19740423 20020503 577160 99999 APPROXIMATE LOCALE CH 27.5 106.833 914.0 19740425 20020627 577220 99999 MEITAN SOUTHWEST CH 27.75 107.43299999999999 786.0 19591209 19610228 577230 99999 LONG-ZHUAN CH 0.0 0.0 -999.0 19800710 20011201 577250 99999 20011011 20020519 577260 99999 BOGUS CHINESE CH 0.0 0.0 -999.0 19740610 20020123 577310 99999 SINAN CH 27.95 108.25 418.0 19570701 20200624 577320 99999 DE-WANG CH 0.0 0.0 -999.0 19731004 20020615 577380 99999 CHEN-YUAN CH 27.05 108.4 464.0 19560820 19580203 577410 99999 TONGREN NORTHWEST CH 27.733 109.167 335.0 19591209 19610228 577450 99999 ZHIJIANG CH 27.45 109.68299999999999 273.0 19430930 20200624 577490 99999 HUAIHUA CH 27.566999999999997 110.0 261.0 19800307 20021205 577530 99999 XU-BU CH 27.916999999999998 110.583 152.0 19730906 20021007 577540 99999 QIAN-YANG (?) CH 0.0 0.0 -999.0 19740427 20020306 577590 99999 LONG-HUI-ANG CH 27.35 110.95 644.0 19800410 20020331 577650 99999 APPROXIMATE LOCALE CH 27.5 111.5 0.0 19801001 20050518 577660 99999 SHAOYANG CH 27.183000000000003 111.45 310.4 19570602 20200624 577720 99999 XIANG-XIANG CH 27.733 112.53299999999999 76.0 19740802 20020316 577730 99999 XIANG-TAN CH 27.883000000000003 112.917 75.0 19740802 20020827 577740 99999 SHUANG-FENG CH 27.45 112.2 916.0 19570602 20100424 577760 99999 NANYUE CH 27.3 112.7 1268.0 19560820 20200624 577830 99999 TONG-MU CH 0.0 0.0 -999.0 19731004 19840529 577920 99999 YI-CHUN CH 0.0 0.0 -999.0 19740111 20011111 577930 99999 YICHUN CH 27.8 114.383 129.0 19560820 20200624 577990 99999 JI'AN CH 27.116999999999997 114.96700000000001 78.0 19560820 20200624 578020 99999 APPROXIMATE LOCATIO CH 26.833000000000002 105.5 0.0 19801001 20041009 578030 99999 ZHI-JIN CH 26.7 105.76700000000001 1676.0 19600301 20100424 578060 99999 ANSHUN CH 26.267 105.96700000000001 1402.0 19591202 20100424 578070 99999 LANG-TAI CH 26.05 105.21700000000001 899.0 19731004 20041122 578130 99999 YANG-CHANG (?) CH 0.0 0.0 -999.0 19730813 20020803 578160 99999 LONGDONGBAO CH ZUGY 26.539 106.801 1138.7 19450204 20200624 578220 99999 FUQUAN CH 26.7 107.5 896.0 19731004 19740914 578230 99999 DAO-PING (?) CH 0.0 0.0 -999.0 19800707 20040522 578250 99999 MA-JIANG CH 26.5 107.583 726.0 19450310 20100424 578310 99999 TAI-JIANG CH 26.666999999999998 108.333 607.0 19730816 20010725 578320 99999 SANSUI CH 26.967 108.667 631.0 19591209 20200624 578340 99999 LEISHAN NORTHEAST CH 26.433000000000003 108.133 926.0 19740421 19740819 578430 99999 HUI-TONG CH 26.866999999999997 109.71700000000001 305.0 19800304 20011124 578450 99999 TONGDAO CH 26.166999999999998 109.78299999999999 397.0 19591101 20200624 578470 99999 20010909 20020526 578530 99999 WUGANG CH 26.733 110.633 340.0 19570601 20200624 578660 99999 LINGLING CH 26.233 111.617 174.0 19430531 20200624 578720 99999 HENGYANG CH 26.933000000000003 112.583 98.0 19430831 20100424 578820 99999 CHA-LING CH 0.0 0.0 -999.0 19730103 19840930 578830 99999 CHALING CH 26.8 113.53299999999999 176.0 19570601 20020922 578910 99999 HECHUAN CH 26.95 114.23299999999999 122.0 19610901 19630131 578930 99999 TAI-HO CH 26.783 114.9 50.0 19730103 20020723 578960 99999 HUANGDIAN CH 26.25 114.333 282.0 19570601 19610314 578961 99999 SUI-CHUAN CH 26.333000000000002 114.5 152.0 19430930 19460228 579010 99999 HUA-GONG CH 0.0 0.0 -999.0 19800706 20040214 579020 99999 XINGREN CH 25.433000000000003 105.18299999999999 1379.0 19560820 20200624 579060 99999 ZHEN-FENG CH 25.383000000000003 105.65 571.0 19600701 20100424 579090 99999 WANGMO NORTHWEST CH 25.25 105.867 359.0 19600201 19600229 579110 99999 GUDONG WEST CH 25.95 107.133 977.0 19740421 19740819 579130 99999 APPROXIMATE LOCATIO CH 25.833000000000002 106.833 0.0 19801004 19850710 579160 99999 LUODIAN CH 25.433000000000003 106.76700000000001 441.0 19560820 20200624 579220 99999 DUSHAN CH 25.833000000000002 107.55 971.0 19450430 20200624 579230 99999 JIANGZHAI CH 25.883000000000003 107.75 536.0 19731119 19740912 579250 99999 LIU-CHAI CH 25.3 107.4 854.0 19570602 19830914 579270 99999 APPROXIMATE LOCALE CH 25.283 107.3 0.0 19740425 20020611 579310 99999 APPROXIMATE LOCALE CH 25.85 108.083 0.0 19740601 20011025 579320 99999 RONGJIANG CH 25.967 108.53299999999999 287.0 19560820 20200624 579440 99999 GONGDONG SOUTHEAST CH 25.533 109.2 423.0 19740421 19741202 579470 99999 RONG-SHUI CH 25.066999999999997 109.25 183.0 19570603 20100424 579570 99999 LIANGJIANG CH ZGKL 25.218000000000004 110.039 173.7 19430606 20200624 579580 99999 NAME UNKNOWN CH 0.0 0.0 -999.0 19731004 20020507 579600 99999 DAO XIAN NORTH CH 25.55 111.583 179.0 19610107 19610314 579620 99999 NAME UNKNOWN (ONC) CH 0.0 0.0 -999.0 19740513 20021205 579650 99999 DAOXIAN CH 25.616999999999997 111.6 152.0 19730101 20100424 579660 99999 NING-YUAN (?) CH 0.0 0.0 -999.0 19800405 20020106 579680 99999 TUO-JIANG (?) CH 25.183000000000003 111.583 122.0 19570601 19850331 579720 99999 CHENZHOU CH 25.733 112.96700000000001 368.8 19560820 20200624 579730 99999 GUI-YANG (?) CH 0.0 0.0 -999.0 19731004 20020326 579820 99999 APPROXIMATE LOCALE CH 25.833000000000002 113.5 0.0 19740729 20020909 579830 99999 NAME UNKNOWN CH 0.0 0.0 -999.0 19740806 20040118 579920 99999 SHANG-YU CH 25.8 114.53299999999999 202.0 19730103 20020516 579930 99999 GANZHOU CH ZSGZ 25.85 114.95 125.0 19441130 20200624 579931 99999 YAOQIANG CH ZSJN 36.857 117.21600000000001 23.2 20050617 20200624 579950 99999 19740611 19740915 579960 99999 XIN-FENG CH 25.4 114.93299999999999 195.0 19591101 20100424 580050 99999 SHANGQIU CH 34.4 115.633 50.0 19610801 20040515 580150 99999 TANG-SHAN CH 34.417 116.333 44.0 19570531 20100424 580270 99999 XUZHOU CH 34.283 117.15 42.0 19560820 20200624 580280 99999 XUZHOU / GUANYIN ARPT CH ZSXZ 34.059 117.556 35.1 19731104 20031001 580400 99999 GANYU CH 34.85 119.133 10.0 19580104 20200624 580440 99999 NANCHENG NORTHEAST CH 34.583 119.25 4.0 19560821 19571231 580570 99999 LIUDUO SOUTHWEST CH 34.067 120.21700000000001 3.0 19570602 19591231 580830 99999 BOGUS CHINESE CH 19801003 20020923 581020 99999 BOXIAN CH 33.783 115.73299999999999 40.3 19560821 20200624 581220 99999 SUINING CH 33.9 117.95 26.0 19570601 20100424 581340 99999 SI-HONG CH 33.467 118.21700000000001 15.0 19740401 20020717 581370 99999 SHUANG-GOU CH 33.217 118.18299999999999 14.0 19800707 20030213 581380 99999 HONGZE HU (LAKE) CH 33.333 118.667 2.0 19570602 20100424 581400 99999 CHIANELO CH 26.767 117.367 183.0 19790710 19810529 581410 99999 HUAIYIN CH 33.633 118.93299999999999 13.7 20040713 20200624 581440 99999 QINGJIANG CH 33.6 119.03299999999999 19.0 19560820 20040206 581500 99999 SHEYANG CH 33.75 120.3 3.0 19600101 20200624 581930 99999 NAME/LOCATION UNKN CH 0.0 0.0 -999.0 19801005 20020111 582020 99999 TSAOCHUANG CH 0.0 0.0 -999.0 19740426 20020319 582030 99999 FUYANG CH 32.867 115.73299999999999 33.0 19570601 20200624 582070 99999 HUANG-CHUAN (?) 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19490130 20200624 606201 99999 BORDJ MOKHTAR AG 21.333000000000002 0.95 398.0 20040713 20200624 606210 99999 IN GUEZZAM AG 19.567 5.75 399.9 20040929 20081231 606250 99999 AOULEF AG DAAF 26.967 1.083 309.0 19490210 20050529 606300 99999 IN-SALAH AG 27.233 2.5 269.0 19490102 20081231 606305 99999 IN SALAH AG 27.25 2.5 280.0 19790801 20200624 606330 99999 IN ZIZA AG 23.217 2.583 443.0 20090201 20180306 606380 99999 TIN FOUYE AG DAEF 28.447 7.5520000000000005 480.1 20110101 20200624 606390 99999 TINFOUYE AG DATF 28.433000000000003 7.55 471.0 20120101 20140211 606400 99999 ILLIZI TAKHAMALT AG DAAP 26.724 8.623 541.9 19500201 20200624 606450 99999 REGGANE AG DAAN 26.717 0.28300000000000003 291.1 19500215 20200624 606460 99999 REGGANE AG 26.7 0.28300000000000003 285.0 19590325 19670515 606500 99999 AMGUID AG 26.416999999999998 5.367000000000001 614.0 20080721 20200624 606560 99999 TINDOUF AG DAOF 27.7 -8.167 442.9 19430319 20200624 606600 99999 ARAK AG 25.267 3.733 556.0 20080721 20200420 606610 99999 ABDENNIZI AG 25.217 5.117 800.0 19500201 20200624 606620 99999 FADNOUNE AG 25.816999999999997 8.183 1291.0 20120601 20200624 606630 99999 MOULAY LACHEN AG 24.717 4.65 1054.0 20080721 20200624 606650 99999 GHAT SOUTH LY 24.916999999999998 10.2 710.0 19500201 20140122 606670 99999 TINALKOUM AG 24.6 10.217 719.0 20120601 20191007 606700 99999 TISKA AG DAAJ 24.293000000000003 9.452 968.0 19490214 20200624 606720 99999 MERTOUEK AG 24.217 5.5329999999999995 1343.0 20080721 20200624 606750 99999 OUALLEN AG 23.4 1.0 358.0 19490130 20200315 606760 99999 IN-EZZANE AG 23.483 11.232999999999999 912.0 20080721 20190109 606770 99999 AFARA AG 25.333000000000002 7.8 1240.0 20090201 20200624 606780 99999 IN AMGUEL AG 23.816999999999997 5.15 1006.0 19641001 19670223 606790 99999 ASSEKREM AG 23.267 5.632999999999999 2710.0 20080721 20200624 606800 99999 TAMANRASSET AG 22.8 5.433 1364.0 19490214 20081231 606805 99999 TAMANRASSET AG 22.8 5.45 1412.0 19801107 20200624 606810 99999 OUED TAHAGGARET AG 21.683000000000003 7.132999999999999 573.0 20120101 20140327 606820 99999 TINTARABINE AG 23.183000000000003 6.767 1105.0 20120218 20200125 606850 99999 BIDON 5 AG 22.316999999999997 1.117 392.0 20120101 20200624 606860 99999 BORDJ-BADJ-MOKHTAR AG 21.333000000000002 0.95 399.0 19951102 20081231 606890 99999 TIMIAOUINE AG 20.417 1.8 608.7 20120101 20140211 606900 99999 IN-GUEZZAM AG 19.567 5.767 400.0 19880326 20200624 606910 99999 ANESBARAKA AG 19.433 4.65 477.0 20120601 20200624 606920 99999 IN GUEZZAM AG DATG 19.57 5.75 400.0 20050101 20200624 606930 99999 IN ATEI AG 20.566999999999997 6.117000000000001 471.0 20120101 20200624 606940 99999 IN AZAOUA AG 20.967 7.45 517.0 20120101 20200624 606950 99999 TIN ZAOUATENE AG 19.967 2.983 734.9 20120101 20181225 607050 99999 BIZERTE TS 37.233000000000004 9.817 6.1 19490108 19521231 607100 99999 TABARKA 7 NOVEMBRE TS DTKA 36.98 8.877 70.1 19741001 20200624 607140 99999 SIDI AHMED AIR BASE TS DTTB 37.245 9.791 6.1 19430805 20200624 607150 99999 CARTHAGE TS DTTA 36.851 10.227 6.7 19430608 20200624 607200 99999 KELIBIA TS DTTL 36.85 11.083 30.0 19430524 20200624 607230 99999 BEJA TS 36.733000000000004 9.183 159.0 19880503 20200624 607250 99999 JENDOUBA TS DTTN 36.483000000000004 8.8 144.0 19430630 20200624 607280 99999 NABEUL TS 36.467 10.7 78.0 19820901 20200624 607290 99999 ZAGHONAN MAGRANE TS 36.433 10.083 156.0 20010917 20200624 607310 99999 ENFIDHA TS DTNH 36.083 10.433 6.0 20091201 20200624 607320 99999 LE KEF TS 36.133 8.7 518.0 19891001 20200624 607340 99999 SILIANA TS 36.067 9.367 445.0 19801201 20200624 607350 99999 KAIROUAN TS DTTK 35.667 10.1 68.0 19490108 20200624 607380 99999 THALA TS 35.55 8.683 1092.0 19770102 20200624 607390 99999 KASSERINE TS 35.167 8.833 707.0 20010917 20200624 607400 99999 MONASTIR-SKANES TS DTTM 35.667 10.75 2.0 19430602 20200624 607401 99999 HABIB BOURGUIBA TS 35.766999999999996 10.75 2.0 19851215 19890820 607403 99999 HABIB BOURGUIBA INTL TS DTMB 35.758 10.755 2.7 19890908 20200624 607420 99999 MAHDIA TS 35.5 11.067 12.0 20030330 20200624 607450 99999 GAFSA TS DTTF 34.422 8.823 323.1 19490107 20200624 607470 99999 KASSERINE NORTH TS 35.183 8.8 689.0 19490108 19520529 607480 99999 SIDI BOUZID TS 35.0 9.482999999999999 355.0 19770830 20200624 607500 99999 THYNA TS DTTX 34.718 10.690999999999999 25.9 19490108 20200624 607560 99999 BOGUS TUNISIAN TS 19860604 20030728 607600 99999 NEFTA TS DTTZ 33.94 8.111 87.5 19730101 20200624 607640 99999 KEBILI TS 33.7 8.967 46.0 19880401 20200624 607650 99999 GABES TS DTTG 33.876999999999995 10.103 7.9 19490101 20200624 607670 99999 GABES TS 33.733000000000004 9.917 112.2 20120101 20200624 607690 99999 ZARZIS TS DTTJ 33.875 10.775 5.8 19660722 20200624 607700 99999 MEDENINE TS 33.35 10.482999999999999 117.0 19770305 20200624 607720 99999 TATAOUINE TS 32.917 10.45 215.0 19890701 20200624 607750 99999 REMADA TS DTTD 32.306 10.382 306.0 19490108 20200624 607800 99999 EL BORMA TS DTTR 31.704 9.255 252.1 19490209 20200624 607850 99999 SABHAM LY 27.017 14.433 444.1 19490108 19521230 607880 99999 BIRAK LY 27.5 14.25 265.0 19500210 19521022 607930 99999 UBARI LY 26.583000000000002 12.767000000000001 425.0 19500210 19521217 607950 99999 MARZUQ LY 25.9 13.85 139.0 19500201 20181030 607980 99999 AL QATRUN LY 24.9 14.667 484.0 19500210 19521217 610170 99999 BILMA NG DRRI 18.683 12.917 357.0 19490401 20200624 610240 99999 AGADEZ NG DRZA 16.967 7.9670000000000005 505.1 19490401 20200624 610330 99999 TESKER NG 15.133 10.717 -999.9 20170417 20170417 610360 99999 TILLABERY NG DRRL 14.2 1.45 210.0 19490401 20200624 610400 99999 20020402 20040110 610430 99999 TAHOUA NG DRRT 14.876 5.265 385.9 19490402 20200624 610450 99999 GOURE NG DRZG 13.982999999999999 10.3 460.0 19830502 20200624 610490 99999 N'GUIGMI NG 14.25 13.117 286.0 19500204 20200624 610520 99999 DIORI HAMANI NG DRRN 13.482000000000001 2.184 223.1 19490401 20200624 610530 99999 DOSSO NG DRRD 13.033 3.3 225.0 20100113 20200624 610750 99999 BIRNI-N'KONNI NG DRRB 13.8 5.25 273.0 19490403 20200624 610800 99999 MARADI NG DRRM 13.503 7.127000000000001 378.0 19490401 20200624 610850 99999 DIFFA NG DRZF 13.373 12.627 303.0 19850401 20200624 610900 99999 ZINDER NG DRZR 13.779000000000002 8.984 462.1 19490401 20200624 610910 99999 MAGARIA NG 12.982999999999999 8.933 403.0 19801001 20200624 610960 99999 MAINE-SOROA NG DRZM 13.232999999999999 11.982999999999999 338.0 19490401 20200624 610990 99999 GAYA NG DRRG 11.883 3.45 202.0 19730101 20200624 611090 99999 BOGUS NIGER NG 19861127 19861127 612020 99999 TESSALIT ML GATS 20.243 0.977 494.1 19500608 20191218 612030 99999 YELIMANE ML GAYE 15.13 -10.57 325.0 20040803 20161124 612140 99999 KIDAL ML GAKL 18.433 1.35 459.0 19570305 20190410 612190 99999 NEMA MT 16.6 -6.733 271.9 19500111 19621231 612230 99999 TOMBOUCTOU ML GATB 16.73 -3.008 263.0 19490411 20190223 612260 99999 GAO ML GAGO 16.248 -0.005 265.2 19490401 20190830 612300 99999 NIORO DU SAHEL ML GANR 15.232999999999999 -9.35 237.0 19490406 20200624 612330 99999 NARA/KEIBANE ML GANK 15.167 -7.2829999999999995 265.0 19780201 20200624 612350 99999 YELIMANE ML 15.117 -10.567 100.0 19901001 20200624 612400 99999 HOMBORI ML GAHB 15.333 -1.683 288.0 19490403 20120218 612500 99999 MENAKA ML GAMK 15.867 2.217 278.0 19490403 20170210 612570 99999 KAYES/DAG-DAG ML GAKD 14.482000000000001 -11.44 51.5 19490403 20200624 612650 99999 AMBODEDJO ML GAMB 14.513 -4.08 276.1 19490403 20200624 612690 99999 TOUKOTO ML 13.467 -9.883 177.0 19490403 19521231 612700 99999 KITA ML GAKT 13.067 -9.467 334.0 19570105 20200624 612720 99999 SEGOU ML GASG 13.4 -6.15 289.0 19490406 20200624 612770 99999 SAN ML GASN 13.333 -4.833 284.0 19500103 20200624 612850 99999 KENIEBA ML GAKA 12.85 -11.232999999999999 132.0 19490416 20200624 612880 99999 DIOILA ML 12.482999999999999 -6.8 331.0 20050803 20050803 612900 99999 BAMAKO MT 12.633 -7.9670000000000005 331.9 19490401 19750109 612910 99999 SENOU ML GABS 12.534 -7.95 380.1 19750101 20200624 612930 99999 KOUTIALA ML GAKO 12.383 -5.4670000000000005 367.0 19500403 20200624 612960 99999 BOUGOUNI ML GABG 11.417 -7.5 351.0 19490511 20200624 612970 99999 SIKASSO ML GASK 11.35 -5.683 375.0 19490403 20200624 614010 99999 BIR MOGHREIN MR GQPT 25.237 -11.589 363.9 19570114 20181222 614020 99999 AIN BEN TILI MR 26.0 -9.533 406.0 20010809 20040808 614030 99999 F DERIK MR 22.683000000000003 -12.7 298.0 19490508 20070430 614040 99999 ZOUERATE MR 22.75 -12.482999999999999 343.0 19830701 20200621 614150 99999 NOUADHIBOU MR GQPP 20.933000000000003 -17.03 4.9 19490401 20200624 614210 99999 ATAR MR GQPA 20.506999999999998 -13.043 231.0 19430401 20200624 614370 99999 AKJOUJT MR GQNJ 19.75 -14.367 120.0 19490502 20200616 614420 99999 NOUAKCHOTT MR GQNN 18.098 -15.948 2.1 19490406 20200624 614500 99999 TIDJIKJA MR GQND 18.57 -11.424000000000001 401.1 19490607 20181222 614610 99999 BOUTILIMIT MR GQNB 17.533 -14.683 75.0 19490406 20181222 614890 99999 ROSSO MR GQNR 16.5 -15.817 6.0 19570102 20180103 614920 99999 KAEDI MR GQNK 16.16 -13.508 22.9 19820101 20180101 614970 99999 NEMA MR GQNI 16.622 -7.317 231.0 19650307 20200612 614980 99999 KIFFA MR GQNF 16.59 -11.405999999999999 128.9 19570108 20180104 614990 99999 AIOUN EL ATROUSS MR GQNA 16.711 -9.638 289.9 19570112 20181222 615100 99999 SELIBABY MR 15.232999999999999 -12.167 60.0 20041119 20150804 615200 99999 BASSIKOUNOU MR 15.867 -5.933 261.0 20021102 20050311 615680 99999 19870519 19870519 616000 99999 SAINT LOUIS SG GOSS 16.051 -16.463 2.7 19490401 20200624 616120 99999 PODOR SG GOSP 16.65 -14.967 7.0 19730101 20200624 616160 99999 20011001 20040807 616270 99999 LINGUERE SG GOOG 15.383 -15.117 21.0 19500304 20200624 616300 99999 MATAM/OURO SOGUI SG GOSM 15.65 -13.25 17.0 19490423 20200624 616410 99999 LEOPOLD SEDAR SENGHOR INTL SG GOOY 14.74 -17.49 25.9 19430401 20200624 616540 99999 THIES SG 14.8 -16.95 76.0 19500205 19521231 616660 99999 DIOURBEL SG GOOD 14.65 -16.233 9.0 19500206 20200624 616790 99999 KAOLACK SG GOOK 14.147 -16.051 7.9 19500205 20200624 616870 99999 TAMBACOUNDA SG GOTT 13.737 -13.652999999999999 49.1 19490501 20200624 616890 99999 SIMENTI SG 13.05 -13.3 52.0 19771102 20051021 616950 99999 ZIGUINCHOR SG GOGG 12.556 -16.282 22.9 19490402 20200624 616970 99999 CAP SKIRING SG GOGS 12.41 -16.746 15.8 19771101 20200624 616980 99999 KOLDA SG GOGK 12.883 -14.967 10.0 19730101 20200624 616990 99999 KEDOUGOU SG GOTK 12.572000000000001 -12.22 178.0 19730102 20200624 617010 99999 BANJUL INTL GA GBYD 13.338 -16.652 29.0 19490113 20200624 617050 99999 SIBANOR GA 13.217 -16.2 21.0 19950702 20200624 617070 99999 JENOI GA 13.482999999999999 -15.567 11.0 19880807 20200624 617110 99999 BANJUL/HALF-DIE GA 13.45 -16.45 2.0 19490113 20180625 617120 99999 KEREWAN GA 13.482999999999999 -16.183 15.0 19810506 20180613 617170 99999 KAUR GA 13.717 -15.25 6.0 19860525 20200215 617200 99999 KUNTAUR GA 13.667 -14.883 -999.9 19950504 20191111 617210 99999 GEORGETOWN GA 13.533 -14.767000000000001 1.0 19490327 20200605 617220 99999 SAPU GA 13.567 -15.933 2.0 19821009 20200620 617310 99999 BASSE GA 13.317 -14.217 4.0 19791002 20200624 617330 99999 FATOTO GA 13.667 -14.467 17.5 19950411 20200611 617410 99999 JENOI GA 13.482999999999999 -15.567 11.0 19790901 19860415 617660 99999 BISSAU OSWALDO VIEIRA INTL PU GGOV 11.895 -15.654000000000002 39.3 19490106 20200624 617690 99999 BOLAMA PU 11.583 -15.482999999999999 20.0 19490106 20200624 617810 99999 BAFATA PU GGBF 12.183 -14.667 43.0 19730105 20200624 618020 99999 KOUNDARA GV 12.567 -13.517000000000001 90.0 19891001 20200623 618090 99999 LABE GV GULB 11.325999999999999 -12.287 1035.1 19490405 20200624 618110 99999 SIGUIRI GV GUSI 11.433 -9.167 366.0 19740715 20190716 618160 99999 BOKE/BARALANDE GV GUOK 10.933 -14.317 69.0 19490403 20200310 618180 99999 KINDIA GV GUID 10.05 -12.867 459.0 19730507 20200624 618200 99999 MAMOU GV 10.367 -12.083 784.0 19500206 20200622 618290 99999 KANKAN GV GUXD 10.383 -9.3 384.0 19490401 20200427 618310 99999 CONAKRY GV 9.567 -13.617 49.0 20020113 20180529 618320 99999 CONAKRY GV GUCY 9.577 -13.612 21.9 19490401 20200624 618330 99999 FARANAH GV GUFH 10.035 -10.77 449.9 19740823 20191201 618340 99999 KISSIDOUGOU GV 9.217 -10.217 412.0 19741208 20120323 618470 99999 MACENTA GV GUMA 8.533 -9.467 544.0 19490402 20110510 618490 99999 N'ZEREKORE/KONIA GV GUNZ 7.733 -8.833 470.0 19741108 20200622 618560 99999 FREETOWN LUNGI SL GFLL 8.616 -13.195 25.6 19490124 20200623 618660 99999 BONTHE SL GFBN 7.5329999999999995 -12.5 8.0 19490124 19840908 618730 99999 MAKENI SL 8.55 -12.05 84.0 19830302 19950808 618760 99999 MAKENI SL 8.883 -11.95 87.5 19490118 19521231 618770 99999 YELE SL 8.417 -11.833 68.0 19840502 20030220 618780 99999 NJALA SL 8.1 -12.1 56.0 19771013 20051015 618810 99999 BO SL GFBO 7.95 -11.767000000000001 93.0 19490129 20071010 618860 99999 KABALA SL 9.583 -11.55 464.0 19730102 20070523 618910 99999 DARU SL 7.983 -10.85 186.0 19490118 20080816 618920 99999 SEFADU SL 8.65 -10.967 390.0 19840204 19990322 619000 99999 ASCENSION ISLAND SH -7.933 -14.417 20.0 19800511 20051015 619010 99999 ST. HELENA IS. SH -15.933 -5.667000000000001 436.0 19430518 20200624 619020 99999 ASCENSION AUX AF SH FHAW -7.97 -14.394 84.7 19420901 20200624 619030 99999 UNKN AY -71.05 -10.9 37.0 19500307 19520115 619100 99999 19870519 19870519 619140 99999 19870503 19870503 619310 99999 SAO TOME INTL TP FPST 0.37799999999999995 6.712000000000001 10.1 19730101 20200624 619340 99999 PRINCIPE TP FPPR 1.663 7.412000000000001 180.1 19730504 20190302 619670 70701 DIEGO GARCIA NAVAL AIR STATION IO FJDG -7.3 72.4 4.3 19490201 20200624 619680 99999 ILES GLORIEUSES FS -11.583 47.283 4.0 19730102 20200624 619700 99999 ILE JUAN DE NOVA JU -17.05 42.717 10.0 19730102 20190206 619710 99999 ALDABRA RE -9.35 46.533 4.0 19730102 19770701 619720 99999 ILE EUROPA EU -22.333000000000002 40.333 6.0 19730101 20200624 619740 99999 AGALEGA MP -10.433 56.6 4.0 19490201 20200624 619760 99999 SERGE-FROLOW (ILE TROMELIN) TE -15.883 54.516999999999996 13.0 19730101 20200622 619790 99999 LE COLORADO RADAR FR -20.916999999999998 55.417 743.0 20040611 20040611 619800 99999 ST DENIS GILLOT RE FMEE -20.886999999999997 55.51 20.1 19730101 20200624 619810 99999 LE PORT RE -20.933000000000003 55.283 11.0 19830701 20121228 619840 99999 ST PIERRE PIERREFONDS RE FMEP -21.320999999999998 55.425 18.0 19730102 20200624 619860 99999 ST. BRANDON (ST. RAPHAEL) MP -16.45 59.617 4.0 19490201 20200624 619880 99999 PLAINE CORAIL MP FIMR -19.758 63.361000000000004 29.0 19490201 20200624 619890 99999 PLAINE CORAIL MP -19.75 63.37 30.0 20060101 20200624 619900 99999 SIR SEEWOOSAGUR RAMGOOLAM INTL MP FIMP -20.43 57.684 56.7 19490201 20200624 619950 99999 VACOAS (MAURITIUS) MP -20.3 57.467 425.0 19770701 20200624 619960 99999 MARTIN DE VIVIES (ILE AMSTERDAM) FS -37.8 77.533 29.0 19730101 20191228 619970 99999 ALFRED FAURE (ILES CROZET) FS -46.433 51.85 142.0 19740903 20200610 619980 99999 PORT-AUX-FRANCAIS (ILES KERGUELEN) FS -49.35 70.25 30.0 19730101 20200624 620020 99999 NALUT LY 31.514 10.597999999999999 621.0 19490130 20200624 620070 99999 ZUARA LY 32.555 12.056 4.0 19490129 20200624 620080 99999 YEFREN LY 32.04 12.312999999999999 691.0 19830701 20200624 620100 99999 TRIPOLI INTL LY HLLT 32.664 13.159 80.2 19430630 20171114 620110 99999 GARINA LY 32.15 13.0 728.0 20161109 20200624 620111 99999 WHEELUS FLD LY 32.9 13.283 4.0 19450415 19700528 620115 99999 TRIPOLI LY HLLL 0.0 0.0 -999.0 20051014 20051014 620120 99999 EL KHOMS LY 32.400999999999996 14.142999999999999 25.0 19900601 20200624 620140 99999 BENWLID LY 31.741 13.957 271.0 20050315 20200522 620160 99999 MISURATA LY 32.243 15.020999999999999 33.0 19490129 20200624 620165 99999 MISURATA AIRPORT LY HLMS 32.333 15.067 18.3 20111117 20140917 620180 99999 ABU NJAYM LY 30.355 15.254000000000001 90.0 20041121 20200602 620190 99999 SIRTE LY 31.2 16.583 14.0 19490130 20200624 620525 99999 MITIGA LY HLLM 32.894 13.276 11.0 20050507 20190405 620530 99999 BENINA AIRPORT LY HLLB 32.097 20.269000000000002 132.0 19431031 20200624 620540 99999 AL-MARJ LY 32.516999999999996 20.883000000000003 335.0 20050317 20200624 620550 99999 AGEDABIA LY 30.717 20.167 7.0 19490130 20180626 620560 99999 SHAHAT LY 32.8 21.883000000000003 648.0 19490129 20110217 620590 99999 DERNA LY 32.783 22.583000000000002 26.0 19490129 20200511 620620 99999 TOBRUK LY 32.1 23.933000000000003 51.0 19441027 20200624 620630 99999 TOBRUK LY HLGN 31.866999999999997 23.9 158.0 19490129 20020308 621010 99999 MOORED BUOY US 50.6 -2.9330000000000003 -999.0 20080721 20080721 621030 99999 GHADAMES EAST LY HLTD 30.151999999999997 9.715 342.0 19570101 20200624 621110 99999 MOORED BUOY US 58.9 -0.2 -999.0 20041118 20041118 621130 99999 MOORED BUOY US 58.4 0.3 -999.0 20040726 20040726 621160 99999 MOORED BUOY US 58.1 1.8 -999.0 20040829 20040829 621170 99999 MOORED BUOY US 57.9 0.1 -999.0 20040726 20040726 621200 99999 GARIAT EL-SHARGHIA LY 30.383000000000003 13.583 497.0 19730101 20200624 621210 99999 EL HAMADA LY 29.517 12.933 623.0 20040517 20150905 621220 99999 MOORED BUOY US 56.5 2.017 -999.0 20040801 20040801 621240 99999 SEBHA LY HLLS 26.987 14.472999999999999 434.9 19611204 20140111 621250 99999 MOORED BUOY US 53.8 -3.8 -999.0 20081204 20081204 621260 99999 MOORED BUOY US 53.8 -3.6 -999.0 20041030 20041101 621300 99999 MOORED BUOY US 53.0 1.7 -999.0 20041110 20041110 621310 99999 HON LY 29.116999999999997 15.95 267.0 19490130 20200624 621370 99999 PLATFORM NO. 62137 US 57.35 1.4669999999999999 0.0 20040726 20040726 621430 99999 MOORED BUOY US 58.3 0.4 -999.0 20040726 20040726 621450 99999 MARADA LY 29.467 19.333 37.0 20080901 20140304 621500 99999 MOORED BUOY US 58.0 0.6 -999.0 20041202 20041224 621610 99999 JALO LY 29.033 21.566999999999997 60.0 19490129 20200624 621760 99999 GIGHBUB LY 29.75 24.533 -1.0 19490131 20200624 622000 99999 OBARI LY HLUB 26.6 12.783 463.0 19880502 20200624 622120 99999 GHAT LY HLGT 25.146 10.142999999999999 699.8 19811201 20200624 622250 99999 TRAGEN LY 25.933000000000003 14.45 421.0 20080901 20180807 622590 99999 TAZERBO LY 25.673000000000002 21.090999999999998 261.2 19620403 20200624 622710 99999 KUFRA LY HLKF 24.179000000000002 23.314 416.7 19490129 20200624 623000 99999 SALLOUM EG 31.533 25.183000000000003 6.0 19370103 20040530 623010 99999 SIDI BARRANI EG 31.616999999999997 25.9 23.0 19990128 20140211 623030 99999 SIDI BARRANI EG 31.633000000000003 25.967 23.0 19570101 20170705 623050 99999 SALLUM PLATEAU EG 31.566999999999997 25.133000000000003 6.0 19951214 20200605 623060 99999 MERSA MATRUH EG HEMM 31.325 27.221999999999998 28.7 19370103 20200624 623080 99999 RAS EL HIKMA / QISM MOURSY MATROUH EG 31.116999999999997 27.866999999999997 40.0 20010805 20190409 623090 99999 DABAA EG 31.017 28.433000000000003 18.0 19570102 20200624 623150 99999 PORT ALEXANDRIA EG 31.183000000000003 29.866999999999997 14.0 20010711 20150407 623180 99999 ALEXANDRIA INTL EG HEAX 31.184 29.949 -1.8 19370103 20200624 623190 99999 20010729 20041212 623240 99999 ROSETTA EG 31.45 30.366999999999997 1.0 20020312 20150803 623250 99999 BALTIM EG 31.55 31.1 2.0 19940801 20200618 623290 99999 PORT DAMIETTA EG 31.467 31.767 4.0 19370103 20160210 623300 99999 DAMIETTA EG 31.416999999999998 31.816999999999997 1.0 20010823 20141105 623320 99999 PORT SAID/EL GAMIL EG 31.283 32.233000000000004 6.0 19870901 20081231 623330 99999 PORT SAID EG 31.267 32.3 6.0 19490301 20200624 623350 99999 RAFH-AGRIMET EG 31.2 34.2 73.0 20031230 20190424 623360 99999 EL ARISH-AGRIMET EG 31.083000000000002 33.817 27.0 19381103 20190907 623370 99999 EL ARISH INTL EG HEAR 31.073 33.836 36.9 19850601 20200509 623380 99999 GHAZZA EG 31.5 34.45 16.0 19600102 20150511 623390 99999 DAMANHOUR EG 31.033 30.467 2.0 19890329 20161101 623430 99999 AD DANABIQ EG 31.05 31.467 7.0 19600101 19660920 623450 99999 TAHRIR EG 30.65 30.7 15.0 19880604 20200213 623480 99999 TANTA EG 30.783 31.0 12.0 19600101 20160212 623570 99999 WADI EL NATROON EG 30.4 30.35 1.0 19960407 20190917 623600 99999 SHEBIN EL KOM EG 30.6 31.017 11.0 20011029 20190320 623601 99999 BORG EL ARAB INTL EG HEBA 30.918000000000003 29.695999999999998 53.9 20040510 20200624 623630 99999 BANHA EG 30.467 31.183000000000003 14.0 20010729 20200413 623660 99999 CAIRO INTL EG HECA 30.122 31.406 116.4 19431031 20200624 623661 99999 MARSA ALAM INTL EG HEMA 25.557 34.582 76.5 20040510 20200624 623662 99999 ISMALIA EG 30.583000000000002 32.25 3.0 20080101 20081231 623663 99999 MINYA EG HEAM 28.0 30.75 1.0 20070819 20091027 623664 99999 ST CATHERINE INTL EG 28.683000000000003 34.067 1331.0 20070822 20200624 623665 99999 EDFU EG 24.983 32.867 85.0 20090508 20190907 623670 99999 CAIRO ALMAZA EG 30.083000000000002 31.366999999999997 51.0 19370103 19400531 623680 99999 CAIRO WEST EG 30.116999999999997 30.916999999999998 151.0 19730101 20170703 623690 99999 BAHTIM EG 30.133000000000003 31.25 16.0 20010924 20020601 623710 99999 CAIRO H.Q. EG 30.083000000000002 31.283 26.0 19990409 20030529 623720 99999 CAIRO /ALMAZA EG 30.1 31.366999999999997 74.1 19490322 19521231 623730 99999 EMBABA EG 30.066999999999997 31.183000000000003 19.0 19740423 20081211 623750 99999 GIZA-AGRIMET EG 30.05 31.217 18.0 20011016 20170609 623780 99999 HELWAN EG HE15 29.866999999999997 31.333000000000002 141.0 19381002 20200520 623810 99999 FAYOUM EG 29.3 30.85 23.0 19600101 20160422 623860 99999 MINYA EG 28.083000000000002 30.733 40.0 19881006 20040921 623870 99999 MINYA EG HE25 28.083000000000002 30.733 37.2 19381002 20200624 623890 99999 MALAWY-AGRIMET EG 27.7 30.75 44.0 20031230 20131021 623920 99999 ASYUT-AGRIMET EG 27.2 31.166999999999998 52.0 19380208 20051107 623930 99999 ASYUT INTL EG HEAT 27.046999999999997 31.011999999999997 235.3 19490323 20200624 623970 99999 SOHAG AIRPORT EG HEMK 26.333000000000002 31.75 92.7 19990101 20160325 623980 99999 SOHAG INTL AIRPORT EG HESG 26.333000000000002 31.733 92.7 20070215 20200624 624020 99999 QENA EG 26.183000000000003 32.733000000000004 74.0 19381001 20130701 624030 99999 SOUTH OF VALLEY UNIVERSITY EG 26.2 32.75 96.0 20040510 20190823 624050 99999 LUXOR INTL EG HELX 25.671 32.707 89.6 19431130 20200624 624080 99999 EDFOU EG 24.983 32.817 89.0 20080523 20080523 624110 99999 DARAW EG HE23 24.416 32.955999999999996 99.1 19850508 20050103 624140 99999 ASWAN INTL EG HESN 23.964000000000002 32.82 201.8 19370103 20200624 624160 99999 SIWA OASIS ARPT EG HESW 29.346 25.506999999999998 101.0 20010707 20200624 624170 99999 SIWA EG 29.2 25.483 -15.0 19370103 20200623 624190 99999 ABU SIMBEL EG HEBL 22.375999999999998 31.612 187.8 19730723 20200624 624200 99999 BAHARIA EG 28.333000000000002 28.866999999999997 130.0 19490905 20200624 624210 99999 19870519 19870519 624230 99999 FARAFRA EG 27.05 27.983 78.0 19500313 20200107 624250 99999 SHARK EL OWEINAT INTL EG HEOW 22.586 28.717 261.8 20010713 20200526 624320 99999 DAKHLA EG 25.5 28.967 117.0 19380310 20200608 624350 99999 KHARGA EG 25.45 30.533 73.0 19570101 20200624 624380 99999 ABU SUWAYR EG 30.566999999999997 32.1 16.0 19581102 20080628 624400 99999 ISMAILIA EG HEIS 30.6 32.25 12.5 19431031 20200624 624410 99999 ISMAILIA & EG 30.6 32.283 3.0 19370103 19881010 624440 99999 FAID EG 30.316999999999997 32.283 11.0 19490304 19521231 624470 99999 MADIYAH EG 30.05 32.533 14.0 19490304 19520105 624490 99999 PORT TAWFIK EG 29.933000000000003 32.567 4.0 19791017 20041115 624500 99999 EL-SUEZ EG 29.866999999999997 32.467 3.6 19600101 20190819 624520 99999 NEKHEL EG 29.916999999999998 33.733000000000004 403.0 20010916 20200624 624530 99999 ELHASANA EG 30.45 33.766999999999996 255.0 20040115 20190131 624540 99999 BEAR EL ABD EG 30.967 32.766999999999996 24.0 20040617 20160913 624550 99999 RAS SEDR EG 29.583000000000002 32.717 16.0 19960201 20200624 624560 99999 TABA AIRPORT (RAS ELNAKB) EG 29.6 34.783 749.0 20040518 20120730 624570 99999 SANT KATREIN AIRPORT EG 28.683000000000003 34.05 1331.0 20110114 20121116 624580 99999 ABURDEES EG 28.9 33.183 8.0 20010903 20200624 624590 99999 EL TOR EG HETR 28.209 33.646 35.1 19381101 20200624 624620 99999 JIYANKLIS NEW EG HEGS 30.82 30.191 14.9 19490301 20110501 624630 99999 HURGHADA INTL EG HEGN 27.178 33.799 15.8 19900215 20200624 624639 99999 SHARM EL SHEIKH INT EG 27.967 34.383 45.0 19970901 20200624 624640 99999 HURGUADA EG 27.283 33.733000000000004 7.0 20100626 20140907 624650 99999 KOSSEIR EG 26.133000000000003 34.25 11.0 19381002 20190405 624655 99999 TABA INTL EG 29.6 34.766999999999996 768.0 19990710 20200419 624670 99999 DAHAB EG 28.483 34.5 19.0 20040222 20200615 624760 99999 SHALATIN EG 23.133000000000003 35.583 21.0 20030330 20190604 625600 99999 MOORED BUOY US 30.1 -19.4 -999.0 20040304 20041109 625630 99999 MOORED BUOY US 31.2 -13.5 -999.0 20040419 20040611 625650 99999 MOORED BUOY US 28.1 -15.1 -999.0 20040128 20040820 625660 99999 MOORED BUOY US 29.5 -14.4 -999.0 20041021 20041021 625750 99999 MOORED BUOY US 27.6 -16.1 -999.0 20031204 20041004 625760 99999 MOORED BUOY US 27.3 -18.1 -999.0 20040706 20080606 626000 99999 HALFA (WADI) SU HSSW 21.816999999999997 31.483 183.0 19490130 20190508 626150 99999 HALIB SU 22.217 36.65 2.0 19741008 20021211 626200 99999 STATION NO 6 * SU 20.75 32.55 468.0 19490130 20050528 626350 99999 ARBAT SU 19.833 36.967 120.0 20010717 20080525 626400 99999 ABU HAMED SU 19.533 33.317 312.0 19490209 20190505 626410 99999 PORT SUDAN SU HSSP 19.583 37.217 3.0 19490205 20190508 626414 99999 PORT SUDAN SU HSPN 19.434 37.234 41.1 20030218 20200329 626500 99999 DONGOLA SU HSDN 19.154 30.43 235.6 19490301 20200328 626520 99999 SUAKIN SU 19.1 37.333 3.0 20010809 20140117 626600 99999 KARIMA SU 18.55 31.85 249.0 19490130 20190508 626610 99999 GEBEIT SU 18.95 36.833 796.0 19490209 20180509 626700 99999 HAIYA SU 18.333 36.367 639.0 19490130 19740806 626710 99999 TOKAR SU 18.433 37.733000000000004 19.0 19490811 20140706 626750 99999 AGIG SU 18.233 38.183 2.0 19741008 20030422 626800 99999 ATBARA SU HSAT 17.7 33.967 345.0 19490130 20190508 626810 99999 DERUDEB SU 17.55 36.1 508.0 20010712 20041025 626820 99999 HUDEIBA SU 17.567 33.933 350.0 20040227 20190508 627000 99999 SHENDI SU HSND 16.7 33.433 360.0 19490303 20190508 627210 99999 KHARTOUM SU HSSS 15.589 32.553000000000004 385.6 19421031 20200624 627220 99999 AROMA SU 15.833 36.15 431.0 19490302 20150717 627230 99999 SHAMBAT OBSERVATORY SU 15.667 32.533 380.0 19510713 20190508 627300 99999 KASSALA SU HSKA 15.387 36.329 509.3 19490130 20190508 627330 99999 HALFA EL GAIDIDA SU 15.317 35.6 451.0 19740221 20190508 627350 99999 SHOWAK SU 14.217 35.85 511.0 20010712 20050808 627500 99999 ED DUEIM SU 14.0 32.333 378.0 19490301 20190508 627510 99999 WAD MEDANI SU 14.4 33.483000000000004 408.0 19490130 20190508 627520 99999 GEDAREF/AZAZA SU HSGF 14.033 35.4 599.0 19490305 20190508 627560 99999 SAVDIRI SU 14.417 29.083000000000002 536.0 20010731 20101001 627600 99999 EL FASHIR SU HSFS 13.615 25.325 729.4 19430401 20190508 627610 99999 HAG ABDULLA SU 13.95 33.583 417.0 20010705 20120226 627620 99999 SENNAR SU HSNR 13.55 33.617 418.0 19790102 20190508 627700 99999 GENEINA SU HSGN 13.482999999999999 22.45 805.0 19430401 20190508 627710 99999 EL OBEID SU HSOB 13.152999999999999 30.233 587.3 19490130 20200329 627720 99999 KOSTI/RABAK SU HSKI 13.167 32.667 381.0 19490130 20190508 627730 99999 SINGA SU 13.15 33.95 429.0 19490130 19521225 627740 99999 UMM BENIN SU 13.067 33.95 435.0 20071113 20190508 627800 99999 ZALINGEI SU HSZA 12.9 23.483 900.0 19490301 20131106 627810 99999 EN NAHUD SU 12.7 28.433000000000003 564.0 19490205 20190508 627900 99999 NYALA SU HSNN 12.05 24.883000000000003 643.0 19790101 20200329 627950 99999 ABU NA'AMA SU 12.732999999999999 34.133 445.0 19590101 20190508 628010 99999 RENK SU HSRN 11.75 32.783 282.0 19791101 20200408 628020 99999 ER ROSEIRES SU 11.85 34.383 463.9 19510110 19521231 628030 99999 RASHAD SU 11.867 31.05 885.0 19810908 20190428 628050 99999 DAMAZIN SU HSDZ 11.786 34.336999999999996 482.2 19730101 20190505 628080 99999 GAZALA GAWZAT SU 11.467 26.45 480.0 19741219 20050902 628090 99999 BABANUSA SU 11.333 27.816999999999997 453.0 19860301 20190429 628100 99999 KADUGLI SU HSLI 11.138 29.701 563.3 19740601 20190429 628400 99999 MALAKAL OD HSSM 9.559 31.651999999999997 393.5 19490301 20110713 628500 99999 AWEIL / UWAYL OD HSAW 8.767000000000001 27.4 414.0 20040610 20160111 628550 99999 BENTIU OD 9.232999999999999 29.833000000000002 389.0 19740625 20041112 628600 99999 NASIR SU HSNA 8.617 33.067 399.0 20040710 20101031 628700 99999 GAMBELLA ET HAGM 8.129 34.563 491.9 20010710 20200226 628710 99999 RAGA OD HSRJ 8.467 25.683000000000003 545.0 19880216 20150827 628800 99999 WAU OD HSWW 7.7 28.017 438.0 19490301 20200408 628810 99999 AKOBO OD HSAK 7.7829999999999995 33.016999999999996 402.0 20040228 20121218 628900 99999 TONJ OD 7.2829999999999995 28.75 429.0 20010813 20120606 629050 99999 PIBOR POST SU 6.8 33.133 510.0 20020325 20020430 629310 99999 MARIDI OD HSMD 4.917 29.467 749.0 19740626 19740626 629400 99999 YAMBIO OD HSYA 4.567 28.4 649.0 20011122 20040701 629401 99999 BENTU OD 9.217 29.816999999999997 609.6 20050513 20051207 629407 99999 TUMBURA OD HSTU 5.6 27.467 609.0 20130529 20200105 629410 99999 JUBA OD HSSJ 4.872 31.601 468.8 19490301 20200623 629510 99999 NAGICHOT OD 4.2669999999999995 33.567 1980.0 20050127 20050127 629550 99999 YEI OD HSYE 4.083 30.666999999999998 830.0 20030124 20030124 630060 99999 NACFA ER 16.667 38.333 1676.0 19490130 20010921 630100 99999 TESSENEI /FLT D-4 ER 15.133 36.7 615.1 19580215 19731001 630130 99999 AGORDAT ET HAAG 15.55 37.883 626.0 19490206 19780503 630140 99999 KEREN ER 15.75 38.45 1402.1 19490404 19631230 630210 99999 ASMARA INTL ER HHAS 15.292 38.911 2335.1 19431219 20171103 630220 99999 GINDA ER 15.433 39.083 960.1 19490130 19750707 630230 99999 MASSAWA ER HAMS 15.617 39.45 10.0 19490206 20030623 630290 99999 ADI UGRI ER 14.883 58.817 1972.1 19490209 19750908 630300 99999 ADI KAIE /CAIEH ER 14.833 39.333 2642.0 19490209 19631231 630420 99999 BOGUS ETHIOPIAN ET 19880408 20010921 630430 99999 ASSAB ER 13.067 42.717 14.0 19490130 19951223 631080 99999 MOORED BUOY US 60.133 1.7 -999.0 20040131 20040131 631100 99999 MOORED BUOY US 59.5 1.517 -999.0 20041227 20041227 631150 99999 TADJOURA DJ 11.783 42.883 10.0 19520101 19581130 631170 99999 BOGUS DJIBOUTI DJ 19860811 20021001 631250 99999 DJIBOUTI DJ HFFF 11.55 43.15 19.0 19520101 20081229 631252 99999 DJIBOUTI/AMBOULI DJ HFFF 11.55 43.133 13.0 19961201 20200624 631260 99999 DJIBOUTI SO REP/PLATEAU DU S BP 11.6 43.15 7.3 19490210 19640131 631410 99999 DIKHIL DJ 11.1 42.367 490.0 19520101 20130725 631450 99999 OBOLEH DJ 11.167 42.717 777.0 20120816 20120816 631500 99999 BORAMA SO 9.95 43.183 1454.0 19900807 20130922 631600 99999 BERBERA SO HCMI 10.389000000000001 44.941 9.1 19730101 20141221 631700 99999 EGAL INTL SO HCMH 9.517999999999999 44.089 1348.1 19520101 20200213 631750 99999 BURAO SO HCMV 9.517000000000001 45.567 1032.0 19730101 20070201 631800 99999 ERIGAVO SO 10.633 47.367 1743.0 19921215 20050725 631900 99999 LAS-ANOD SO 8.5 47.367 700.0 20050830 20051017 632000 99999 ALULA SO 11.95 50.733000000000004 2.0 19570113 20050512 632100 99999 BOSASO SO HCMF 11.283 49.183 2.0 19570104 20200329 632200 99999 SCUSCIUBAN SO 10.3 50.233000000000004 344.0 19570101 20050903 632250 99999 GARDO SO 9.517000000000001 49.083 812.0 19570103 20120730 632270 99999 GAROE SO 7.95 48.5 -999.9 19810204 20200325 632280 99999 EIL SO 7.95 49.783 -999.9 20080927 20080927 632300 99999 GALCAYO SO 6.85 47.266999999999996 302.0 19540104 20161007 632350 99999 OBBIA SO 5.332999999999999 48.567 10.0 19730801 19830208 632370 99999 EL BUR SO 4.7 46.617 175.0 19570101 20190720 632400 99999 BELET UEN SO 4.7 45.217 173.0 19570101 20190502 632450 99999 HUDDUR SO 4.183 43.867 -999.9 19930201 20030614 632470 99999 ISCIA BAIDOA SO 3.133 43.667 487.0 19570103 20051019 632480 99999 LUG-GANANE SO 3.583 42.45 -999.9 20051019 20051019 632500 99999 BARDERA SO 2.35 42.3 116.0 19570114 20200603 632580 99999 AFGOI SO 2.15 45.133 83.0 20030620 20030620 632600 99999 MOGADISHU SO HCMM 2.033 45.35 9.0 19490121 20200624 632610 99999 GENALE SO 1.8330000000000002 44.75 69.0 20031018 20031018 632620 99999 EL MUGNE SO 1.7169999999999999 44.766999999999996 12.0 20020608 20050311 632650 99999 AFMADU SO 0.517 42.067 29.0 20050624 20050624 632660 99999 ALESSANDRA SO 0.5 42.766999999999996 24.0 20020805 20051014 632700 99999 CHISIMAIO SO -0.36700000000000005 42.433 10.0 19570123 20050406 632710 99999 JONTE SO -0.33299999999999996 42.567 8.0 20100622 20100622 633299 99999 AXUM ET HAAX 14.147 38.773 2121.1 19890421 19891126 633300 99999 MEKELE ET HAMK 13.467 39.533 2254.3 19571209 20200624 633310 99999 GONDER ET HAGN 12.52 37.434 1965.7 19570101 20200624 633320 99999 BAHIR DAR ET HABD 11.607999999999999 37.321999999999996 1822.1 19731003 20200624 633330 99999 COMBOLCHA/DESSIE ET HADC 11.083 39.717 1864.0 19570104 20200624 633340 99999 DEBRE MARCOS ET HADM 10.35 37.717 2476.0 19570101 20200624 633400 99999 LEKEMTE ET 9.083 36.45 2080.0 19730909 20200624 634020 99999 JIMMA ET HAJM 7.666 36.817 1676.4 19570101 20200624 634030 99999 GORE ET HAGR 8.167 35.55 1974.0 19570101 20200624 634043 99999 ASOSA ET HASO 10.019 34.586 1554.5 20010128 20010128 634500 99999 BOLE INTL ET HAAB 8.978 38.799 2325.6 19570101 20200624 634510 99999 HARAR MEDA (MIL) ET HAHM 8.732999999999999 39.0 1876.0 19570109 20200623 634520 99999 AFDAM ET 9.417 41.0 1153.0 19570109 20140827 634530 99999 METEHARA ET 8.867 39.9 930.0 19570101 20200624 634531 99999 AWASH ET HAAW 8.933 40.083 1052.0 19730101 19841226 634590 99999 BOGUS ETHIOPIAN ET 19850701 20040313 634600 99999 AWASSA (LAKE) ET HALA 7.067 38.05 1652.0 19730620 20200624 634710 99999 DIRE DAWA INTL ET HADR 9.625 41.854 1158.8 19570101 20200624 634723 99999 MASSLO/MESLO ET HAML 6.367000000000001 39.833 2274.0 20021218 20021218 634730 99999 JIGGIGA ET HAJJ 9.333 42.717 1644.0 19570101 20200317 634740 99999 ROBE/BALE ET 7.132999999999999 40.0 2480.0 19630118 20200624 634750 99999 KABRE DARE /ETH-AFB ET 6.75 44.266999999999996 450.0 19571017 19771015 634760 99999 GHINNIR ET 7.15 40.7 1844.0 19801116 20020408 634763 99999 GHINNIR/GINIR ET HAGH 7.15 40.717 1844.0 20050421 20050901 634770 99999 ... ET 0.0 0.0 19570119 19631207 634780 99999 GODE ET HAGO 5.935 43.57899999999999 254.2 19730104 20200624 635000 99999 ARBA MINCH ET HAAM 6.039 37.59 1189.0 19870301 20200624 635320 99999 KIBRE MENGIST SW ET 5.867000000000001 38.95 1770.0 19570101 19631219 635330 99999 NEGHELLI (MIL) ET HANG 5.2829999999999995 39.75 1455.0 19570101 20200624 636020 99999 ARUA UG HUAR 3.05 30.916999999999998 1211.0 19570101 20200622 636120 99999 LODWAR KE HKLO 3.122 35.609 522.7 19570101 20200624 636190 99999 MOYALE LOWER (ODA) KE HKMY 3.533 39.05 1097.0 19570101 20200624 636240 99999 MANDERA KE HKMA 3.9330000000000003 41.867 231.0 19570101 20200624 636280 99999 PARAA UG 2.3 31.583000000000002 693.0 19730719 20030909 636300 99999 GULU UG HUGU 2.806 32.272 1069.8 19570101 20200622 636304 99999 LIRA UG HULI 2.25 32.9 1091.0 19850408 20160222 636310 99999 LIRA KE 2.283 32.933 1189.0 20090801 20200622 636350 99999 MOROTO UG 2.517 34.583 1280.0 19570101 19741002 636353 99999 MOROTO UG 2.533 34.65 1280.0 19990118 20030623 636410 99999 MARSABIT KE HKMB 2.3 37.9 1345.0 19751201 20200624 636540 99999 MASINDI UG HUMI 1.683 31.717 1147.0 19630316 20200616 636580 99999 SOROTI UG HUSO 1.7280000000000002 33.623000000000005 1126.8 19730101 20200622 636610 99999 KITALE KE HKKT 0.972 34.959 1850.1 19491101 20200624 636630 99999 19570101 19611231 636710 99999 WAJIR KE HKWJ 1.733 40.092 234.7 19570101 20200624 636735 99999 MARA SERENA KE HKMS -1.405 35.008 1585.0 20111212 20190615 636740 99999 KASESE UG HUKS 0.183 30.1 961.0 19730101 20200622 636760 99999 19570101 19661231 636763 99999 FORT PORTAL UG HUFP 0.667 30.283 1533.0 20030617 20030617 636800 99999 KAMPALA UG 0.317 32.617 1140.0 19730102 20200622 636820 99999 JINJA UG HUJI 0.45 33.183 1173.0 19570101 20200622 636840 99999 TORORO UG HUTO 0.6829999999999999 34.167 1171.0 19570101 20200622 636860 99999 ELDORET KE 0.483 35.3 2120.0 19570101 20200624 636870 99999 KAKAMEGA KE HKKG 0.271 34.787 1530.1 19841101 20200327 636880 99999 EL DORET INTL KE HKED 0.40399999999999997 35.239000000000004 2150.1 20030330 20180516 636940 99999 NANYUKI KE 0.017 37.067 1946.5 19570101 19750808 636943 99999 NANYUKI KE HKNY -0.067 37.033 1905.0 20001208 20170203 636944 99999 MULIKA KE HKMK 0.233 38.183 679.7 20111201 20130622 636950 99999 MERU KE HKME 0.083 37.65 1554.0 19570101 20200624 636953 99999 ISIOLO KE HKIS 0.35 37.583 1067.0 20030521 20030521 637020 99999 MBARARA UG HUMA -0.617 30.65 1413.0 19570101 20200622 637050 99999 ENTEBBE INTL UG HUEN 0.042 32.444 1152.8 19490121 20200624 637080 99999 KISUMU KE HKKI -0.086 34.729 1208.5 19490909 20200624 637085 99999 ISII KE -0.6829999999999999 34.7 0.0 19840207 19841127 637090 99999 KISII KE HKKS -0.667 34.783 1493.0 19841110 20170512 637100 99999 KERICHO KE HKKR -0.36700000000000005 35.35 2184.0 19730719 20200624 637110 99999 SUBA KE -0.4 34.133 1143.0 20120309 20160716 637120 99999 EQUATOR SW KE -0.017 35.55 2762.0 19570101 19601231 637140 99999 NAKURU KE HKNK -0.267 36.1 1901.0 19570101 20200624 637170 99999 NYERI KE HKNI -0.5 36.967 1759.0 19790901 20200624 637200 99999 EMBU KE HKEM -0.5 37.45 1493.0 19790901 20200624 637230 99999 GARISSA KE HKGA -0.46399999999999997 39.648 148.0 19570101 20200624 637260 99999 KABALE UG HUKB -1.25 29.983 1869.0 19570101 20200622 637290 99999 BUKOBA TZ HTBU -1.3330000000000002 31.816999999999997 1137.0 19570101 20200624 637330 99999 MUSOMA TZ HTMU -1.5 33.8 1147.0 19570101 20200624 637335 99999 MAKAU TZ HTMH -3.367 34.833 1563.9 20110708 20200620 637370 99999 NAROK KE HKNO -1.133 35.833 1890.0 19570101 20200624 637380 99999 MAGADI KE -1.883 36.283 622.0 19570101 20050521 637390 99999 NAIROBI EASTLEIGH KE HKRE -1.2770000000000001 36.861999999999995 1639.8 20010729 20170727 637400 99999 NAIROBI JKIA KE HKJK -1.319 36.928000000000004 1623.7 19490121 20200624 637403 99999 NAIROBI/DAGORETTI KE -1.3 36.75 1798.0 19850130 19910806 637410 99999 NAIROBI/DAGORETTI KE HKNC -1.3 36.75 1798.0 19570101 20200624 637420 99999 NAIROBI WILSON KE HKNW -1.3219999999999998 36.815 1687.4 19630316 20200624 637560 99999 MWANZA TZ HTMW -2.444 32.933 1147.0 19500108 20200624 637660 99999 MAKINDU KE HKMU -2.283 37.833 1000.0 19570101 20200624 637720 99999 LAMU MANDA KE HKLU -2.252 40.913000000000004 6.1 19570101 20200624 637840 99999 SHINYANGA TZ -3.65 33.35 1000.0 19870601 20181225 637880 99999 19570101 19600331 637890 99999 ARUSHA TZ HTAR -3.3680000000000003 36.633 1386.8 19600111 20200624 637900 99999 MOSHI TZ HTMS -3.35 37.333 831.0 19490909 20200620 637910 99999 KILIMANJARO INTL TZ HTKJ -3.429 37.074 893.7 19730101 20200624 637930 99999 VOI KE HKVO -3.4 38.567 579.0 19570101 20200624 637990 99999 MALINDI KE HKML -3.2289999999999996 40.102 25.0 19630316 20200624 638010 99999 KIGOMA TZ HTKA -4.883 29.633000000000003 885.0 19570101 20200624 638100 99999 SINGIDA TZ -4.8 34.717 1307.0 20060511 20181114 638160 99999 SAME TZ HTSE -4.083 37.717 872.0 19570101 20200620 638180 99999 MOMBO TZ HTMO -4.883 38.283 511.0 19580206 20030306 638200 99999 MOMBASA MOI INTL KE HKMO -4.035 39.594 61.0 19490121 20200624 638320 99999 TABORA AIRPORT TZ HTTB -5.083 32.833 1190.0 19490121 20200624 638400 99999 HANDENI TZ -5.433 38.033 756.0 20050804 20200618 638430 99999 AMANI TZ -5.1 38.633 911.0 19570101 19611231 638440 99999 TANGA TZ HTTG -5.092 39.071 39.3 19570101 20200620 638450 99999 PEMBA TZ HTPE -5.257000000000001 39.811 24.4 19570101 20200620 638620 99999 DODOMA TZ HTDO -6.17 35.753 1119.5 19500207 20200624 638630 99999 KONGWA TZ -6.2 36.433 1113.0 19570101 20200421 638660 99999 MOROGORO (MET) TZ HTMG -6.832999999999999 37.65 526.0 19570101 20200624 638700 99999 ZANZIBAR TZ HTZA -6.222 39.225 16.5 19570101 20200624 638810 99999 SUMBAWANGA TZ HTSU -7.9670000000000005 31.63 1923.0 19890902 20200624 638870 99999 IRINGA TZ HTIR -7.669 35.751999999999995 1425.9 19570101 20200624 638940 99999 MWALIMU JULIUS K NYERERE INTL TZ HTDA -6.877999999999999 39.203 55.5 19500201 20200624 638950 99999 MAFIA/KILINDONI TZ -7.917000000000001 39.667 21.0 19570101 20141221 639003 99999 SHINYANGA TZ HTSY -3.5 33.0 1100.0 19880324 20200620 639193 99999 KILWA MASOKO TZ HTKI -8.933 39.516999999999996 18.0 20010617 20200620 639320 99999 MBEYA TZ HTMB -8.933 33.467 1707.0 19491101 20191227 639350 99999 NJOBE SW TZ -9.367 34.75 1950.0 19570101 19611231 639360 99999 MAHENGE TZ -8.667 36.717 1200.0 20060620 20181114 639620 99999 SONGEA TZ HTSO -10.683 35.583 1067.0 19490121 20200624 639690 99999 NACHINGWEA TZ HTNA -10.35 38.75 465.0 19570101 20030609 639700 99999 LINDI TZ -10.0 39.7 41.0 19490121 20190505 639710 99999 MTWARA TZ HTMT -10.339 40.181999999999995 113.1 19570101 20200624 639800 99999 SEYCHELLES INTL SE FSIA -4.6739999999999995 55.522 3.0 19490121 20200624 639810 99999 PRASLIN SE FSPP -4.319 55.691 3.0 20010703 20180117 639850 99999 SEYCHELLES INTL SE FSSS -4.683 55.533 4.0 19770702 20051004 639950 99999 ALDABRA SE -9.35 46.533 4.0 19770701 20041211 639960 99999 FARQUHAR SE -10.1 51.167 3.0 20010919 20030507 639970 99999 USWAA NE TZ -3.233 37.233000000000004 1281.0 19570101 19611031 640050 99999 MBANDAKA CG FZEA 0.023 18.289 317.0 19490704 20191126 640060 99999 GEMENA CG FZFK 3.235 19.771 420.0 19730102 20200611 640080 99999 BASANKUSU CG 1.217 19.8 360.0 19730203 20011010 640085 99999 BANGOKA INTL CG FZIC 0.48200000000000004 25.338 431.9 20110602 20200624 640100 99999 BOGUS ZAIRE CG 19910904 19921130 640140 99999 LISALA CG 2.3169999999999997 21.566999999999997 463.0 19730102 20020410 640150 99999 LIBENGE CG 3.633 18.633 359.0 19490704 20030223 640160 99999 BUMBA CG 2.1830000000000003 22.55 361.0 19730101 19810828 640180 99999 BASOKO CG 1.25 23.6 410.0 19740720 20110312 640210 99999 BONDO CG 3.8 23.816999999999997 474.0 19740818 19901027 640340 99999 BUTA CG 2.783 24.783 410.0 19490704 20020413 640400 99999 KISANGANI SIMISINI CG FZIA 0.518 25.155 392.9 19490704 20200623 640460 99999 BANALIA CG 1.55 25.333000000000002 450.0 19870109 20200106 640560 99999 BAFWASENDE CG 1.083 27.133000000000003 524.0 19800609 20050501 640620 99999 ISIRO CG 2.767 27.65 806.0 19730129 20130211 640710 99999 MAMBASA CG 1.367 29.066999999999997 900.0 19800704 19931207 640720 99999 BUTEMBO CG FZMB 0.133 29.267 1840.0 19730620 20131214 640750 99999 IRUMU CG 1.45 29.866999999999997 920.0 19490704 19531231 640760 99999 BUNIA CG 1.5 30.217 1239.0 19730201 20160128 640770 99999 BUNIA-RUAMPARA CG 1.567 30.217 1285.0 20010828 20040312 641010 99999 LUKOLELA CG -1.05 17.2 318.0 20011116 20101101 641080 99999 BANDUNDU CG FZBO -3.3110000000000004 17.382 324.0 19740713 20131215 641150 99999 INONGO CG FZBA -1.9669999999999999 18.267 300.0 19730101 20151126 641260 99999 BOENDE CG FZGN -0.217 20.85 351.0 19730206 20180925 641460 99999 LODJA CG -3.483 23.467 479.0 19800802 19960910 641520 99999 OPALA CG -0.583 24.35 405.0 19740809 20020511 641550 99999 KINDU CG FZOA -2.9189999999999996 25.915 496.8 19490704 20180728 641556 99999 MBUJI MAYI CG FZWA -6.121 23.569000000000003 677.0 20081217 20200624 641560 99999 KALIMA CG -2.6 26.55 569.0 19740501 20031120 641570 99999 RUTSHURU CG -1.183 29.45 1275.0 19800813 19960423 641620 99999 LUBUTU CG -0.75 26.566999999999997 762.0 19861101 19960414 641700 99999 WALIKALE CG -1.4169999999999998 27.0 800.0 20011107 20190210 641750 99999 KAMEMBE RW -1.5330000000000001 28.9 1574.0 19490704 19531231 641800 99999 BUKAVU CG -2.517 28.85 1612.0 19730102 20200206 641840 99999 GOMA CG FZNA -1.683 29.233 1552.0 19730101 20200624 642010 99999 MUANDA CG FZAG -5.931 12.352 27.1 19730101 20190707 642030 99999 KITONA CG -5.917000000000001 12.45 122.0 19730129 20011221 642040 99999 BOMA CG -5.85 13.1 22.0 19730612 20130210 642050 99999 19870518 19870518 642060 99999 INGA CG -5.517 13.583 277.0 19730202 20200527 642070 99999 MATADI/TSHIMPI CG FZAM -5.8 13.433 340.0 19730101 20130128 642090 99999 LUOZI CG -4.95 14.133 236.0 19730618 19781006 642100 99999 NDJILI INTL CG FZAA -4.386 15.445 313.0 19490704 20200624 642110 99999 KINSHASA/N'DOLO CG FZAB -4.317 15.317 282.0 19730203 20200502 642170 99999 KENGE CG FZCS -4.917 17.067 563.0 19830702 20181219 642200 99999 KINSHASA/BINZA CG -4.367 15.25 445.0 19430301 20190816 642220 99999 KIKWIT CG FZCA -5.0360000000000005 18.785999999999998 479.1 19771201 20200424 642230 99999 KAHEMBA CG -7.2829999999999995 19.0 1060.0 20020604 20020604 642240 99999 ILEBO CG -4.333 20.583000000000002 465.0 19740514 20200619 642280 99999 TSHIKAPA CG FZUK -6.417000000000001 20.85 481.0 19740505 20171211 642350 99999 KANANGA CG FZUA -5.9 22.469 652.0 19490704 20200319 642460 99999 LUSAMBO CG FZVI -4.967 23.433000000000003 424.0 19800604 20030118 642470 99999 MBUJI-MAYI CG -6.167000000000001 23.616999999999997 633.0 19740831 20200624 642480 99999 LUPUTA CG -7.132999999999999 23.733 880.0 19800401 20121208 642640 99999 KASONGO CG -4.5169999999999995 26.583000000000002 544.0 20080804 20080804 642760 99999 KONGOLO CG FZRQ -5.35 27.0 561.0 19731207 20100816 642820 99999 MANONO CG FZRA -7.2829999999999995 27.433000000000003 633.0 19730501 20190605 642850 99999 KALEMIE CG -5.882999999999999 29.183000000000003 790.0 19490704 20200624 642910 99999 MOBA CG -7.067 29.783 1132.0 20020604 20020805 642940 99999 BOGUS ZAIRE CG 19861001 20020206 643020 99999 KAPANGA CG -8.35 22.583000000000002 882.0 19740819 19740819 643150 99999 KAMINA BASE CG FZSA -8.642000000000001 25.253 1079.9 19730513 20140604 643280 99999 KOLWEZI CG FZQM -10.765999999999998 25.506 1526.1 19730725 20200528 643480 99999 MITWABA CG -8.6 27.333000000000002 1579.0 19800701 19821220 643600 99999 LUBUMBASHI INTL CG FZQA -11.591 27.531 1309.1 19490704 20200624 643700 99999 LUBUMBASHI-KARAVIA CG -11.65 27.467 1260.0 19430406 19430522 643800 99999 KAMEMBE RW HRZA -2.467 28.916999999999998 1587.4 19730101 20200624 643810 99999 GISENYI RW HRYG -1.6769999999999998 29.259 1549.0 19850506 20200624 643830 99999 RUHENGERI RW HRYU -1.5 29.633000000000003 1855.7 19780404 20200624 643840 99999 BUTARE RW -2.6 29.733 1764.0 19730924 20170718 643870 99999 KIGALI INTL RW HRYR -1.969 30.139 1481.0 19730102 20200624 643900 99999 BUJUMBURA INTL BY HBBA -3.324 29.319000000000003 787.0 19730101 20200624 643970 99999 MUYINGA BY -2.833 30.333000000000002 1755.0 19730701 19990304 644000 99999 POINTE NOIRE CF FCPP -4.816 11.887 16.8 19421220 20200624 644007 99999 YOKANGASSI AIRPORT CF FCBY -4.217 13.283 164.9 20100209 20200624 644010 99999 DOLISIE CF FCPD -4.2 12.7 331.0 19491202 20200624 644020 99999 MOUYONDZI CF FCBM -3.983 13.917 512.0 19500212 20200608 644030 99999 MAKABANA CF FCPA -3.483 12.617 161.0 19730103 20200624 644050 99999 SIBITI CF FCBS -3.6830000000000003 13.35 531.0 19491202 20200624 644500 99999 MAYA MAYA CF FCBB -4.252 15.253 319.4 19490307 20200624 644510 99999 BOULANKIO CF -3.8169999999999997 15.25 750.0 20040304 20140430 644520 99999 M'POUYA CF FCBO -2.617 16.217 312.0 19500315 20200624 644530 99999 DJAMBALA CF FCBD -2.533 14.767000000000001 790.0 19500203 20200624 644540 99999 GAMBOMA CF FCOG -1.867 15.867 377.0 19491202 20200624 644550 99999 MOSSAKA CF -1.217 16.8 296.0 19730629 20140430 644560 99999 MAKOUA CF FCOM -0.017 15.65 380.0 19730102 20200624 644580 99999 OUESSO CF FCOU 1.6159999999999999 16.038 353.0 19491202 20200624 644590 99999 IMPFONDO CF FCOI 1.617 18.067 326.0 19491205 20200624 644600 99999 SOUANKE CF FCOS 2.0669999999999997 14.133 550.0 19500801 20200624 644620 99999 KELLE CF FCOK 0.1 13.55 408.0 20040619 20200624 644625 99999 BONGOR CD FTTB 10.28 15.38 328.0 20050423 20200522 644630 99999 EWO CF FCOE -5.582999999999999 14.817 438.0 20080914 20200624 645000 99999 LEON M BA GB FOOL 0.45899999999999996 9.412 11.9 19490401 20200624 645010 99999 PORT GENTIL GB FOOG -0.7120000000000001 8.754 4.0 19490307 20200624 645030 99999 MAYUMBA GB FOOY -3.417 10.65 34.0 19491206 20090720 645040 99999 COCOBEACH GB FOOC 1.0 9.6 13.0 19491205 20061009 645070 99999 TCHIBANGA GB FOOT -2.85 11.017000000000001 79.0 19730101 20200624 645100 99999 BITAM GB FOOB 2.076 11.493 600.2 19730101 20200624 645120 99999 OYEM GB FOGO 1.5430000000000001 11.581 657.8 20060313 20200624 645450 99999 MEKAMBO GB FOOE 1.0170000000000001 13.933 501.0 19730103 20061220 645500 99999 MOUILLA VILLE GB FOGM -1.845 11.057 89.9 19491202 20200624 645510 99999 LAMBARENE GB FOGR -0.7040000000000001 10.245999999999999 25.0 19491206 20200624 645520 99999 MITZIC GB FOOM 0.7829999999999999 11.533 583.0 19491202 20160531 645525 99999 OYEM GB 1.55 11.567 658.0 20080101 20081230 645530 99999 FRANCEVILLE GB FOOF -1.633 13.6 426.0 19490307 20040919 645533 99999 FRANCEVILLE MVENGUE GB -1.65 13.433 453.0 19920704 20080612 645560 99999 MAKOKOU GB FOOK 0.579 12.890999999999998 526.1 19730101 20200624 645600 99999 LASTOURSVILLE GB FOOR -0.833 12.717 485.0 19730101 20200624 645650 99999 MOANDA GB FOOD -1.5330000000000001 13.267000000000001 573.0 19730101 20080427 645700 99999 FRANCEVILLE MVENGUE GB FOON -1.6669999999999998 13.4 444.0 19810101 20200624 646000 99999 BERBERATI CT FEFT 4.2219999999999995 15.786 588.0 19490401 20200624 646010 99999 BOUAR CT FEFO 5.9670000000000005 15.633 1020.0 19500918 20200624 646030 99999 BOUCA U O C A R CT 6.5 18.267 458.1 19500201 19521217 646050 99999 BOSSEMBELE CT FEFL 5.267 17.633 674.0 19730101 20130322 646100 99999 BOSSANGOA CT FEFS 6.483 17.433 465.0 19730101 20130321 646500 99999 BANGUI M POKO CT FEFF 4.398 18.519000000000002 368.2 19490401 20200624 646503 99999 BANGUI/MPOKO CT FEFF 4.4 18.517 367.0 19860101 19910613 646540 99999 N'DELE CT FEFN 8.4 20.65 511.0 19500201 20181002 646550 99999 BRIA CT FEFR 6.5329999999999995 21.983 584.0 19730101 20121218 646560 99999 BANGASSOU CT FEFG 4.7330000000000005 22.833000000000002 500.0 19491202 20161202 646580 99999 BIRAO CT FEFI 10.283 22.783 464.0 19730101 20180126 646590 99999 OBO CT FEFB 5.4 26.5 651.0 19730101 20080505 646600 99999 BAMBARI CT FEFM 5.85 20.65 475.0 19730101 20140116 646610 99999 YALINGA CT FEFY 6.5 23.267 602.0 19730101 20170601 646620 99999 ALINDAO CT FEFA 5.05 21.2 449.0 19730101 20141110 646650 99999 MOBAYE CT 4.317 21.183000000000003 405.0 19920202 20130206 647000 99999 NDJAMENA HASSAN DJAMOUS CD FTTJ 12.134 15.034 295.0 19490401 20200624 647010 99999 MAO CD FTTU 14.117 15.317 355.0 19730108 20200203 647020 99999 BOL-BERIM CD FTTL 13.433 14.732999999999999 292.0 19730101 20200624 647040 99999 ZOUAR CD 20.45 16.567 809.0 20040307 20040307 647050 99999 BOUSSO CD FTTS 10.482999999999999 16.717 336.0 19730101 20200624 647060 99999 MOUNDOU CD FTTD 8.624 16.070999999999998 428.9 19730101 20200624 647070 99999 MOUSSORO CD 13.65 16.5 301.0 19730208 20050902 647080 99999 BOKORO CD FTTK 12.383 17.05 301.0 19730102 20200520 647085 99999 BILTINE CD FTTE 14.517000000000001 20.9 512.0 20080827 20200318 647086 99999 LAI CD FTTH 9.4 16.3 357.0 20090223 20091209 647090 99999 PALA CD FTTP 9.367 14.917 455.0 19730101 20200624 647200 99999 BARDAI-ZOUGRA CD FTTZ 21.45 17.05 1074.0 20021211 20050927 647500 99999 SARH (CIV/MIL) CD FTTA 9.15 18.383 365.0 19490408 20200624 647510 99999 ATI CD 13.217 18.317 334.0 19730101 20200624 647530 99999 FAYA LARGEAU CD FTTY 17.917 19.111 235.0 19730101 20200624 647540 99999 AM-TIMAN CD FTTN 11.033 20.283 436.0 19730101 20200624 647550 99999 GOZ-BEIDA CD 12.232999999999999 21.416999999999998 557.0 19730319 20050630 647560 99999 ABECHE CD FTTC 13.847000000000001 20.844 545.0 19500306 20200624 647570 99999 FADA CD 17.167 21.55 540.0 19730802 20190703 647580 99999 MONGO CD 12.183 18.683 430.0 19500316 20200624 648100 99999 MALABO EK FGSL 3.755 8.709 23.2 19740618 20200624 648200 99999 BATA (RIO MUNI) EK FGBT 1.9 9.8 8.0 20071005 20200624 648510 99999 SALAK CM FKKL 10.450999999999999 14.257 424.0 19500201 20200624 648514 99999 YAGOUA CITY CM FKKJ 10.367 15.232999999999999 326.0 19810220 19830615 648530 99999 KAELE CM 10.1 14.45 389.0 20050105 20050904 648600 99999 GAROUA CM FKKR 9.336 13.37 242.0 19500201 20200624 648700 99999 NGAOUNDERE CM FKKN 7.357 13.559000000000001 1114.0 19500201 20200624 648800 99999 BANYO CM FKAB 6.7829999999999995 11.817 1110.0 19730101 20051128 648820 99999 MEIGANGA CM FKAM 6.5329999999999995 14.367 1027.0 19730101 20040913 648821 99999 MAROUA-SALAK CM FKKA 10.433 14.25 422.0 20080101 20081231 648900 99999 MAMFE CM FKKF 5.7170000000000005 9.283 126.0 19500201 20080518 648920 99999 BAMENDA CM FKKV 6.039 10.123 1239.0 19790501 20100419 648930 99999 FOUMBAN NKOUNJA CM FKKM 5.6370000000000005 10.751 1207.9 19500814 20071022 649000 99999 YOKO CM FKAY 5.55 12.367 1031.0 19500211 20080606 649010 99999 BETARE-OYA CM FKAO 5.6 14.067 804.0 19500203 20060218 649100 99999 DOUALA CM FKKD 4.006 9.719 10.1 19491202 20200624 649110 99999 NKONGSAMBA CM FKAN 4.95 9.933 821.0 19491205 20100119 649120 99999 TIKO CM FKKC 4.0889999999999995 9.361 46.0 19730101 20110113 649200 99999 BAFIA CM FKAF 4.7330000000000005 11.25 500.0 19730103 20060413 649220 99999 NANGAWEBOKO CM 4.65 12.4 623.0 19500201 19511205 649300 99999 BERTOUA CM FKKO 4.6 13.732999999999999 668.0 19500201 20200624 649310 99999 BATOURI CM FKKI 4.467 14.367 656.0 19500201 20011027 649420 99999 ESEKA CM FKKE 3.65 10.767000000000001 227.0 19500201 20160301 649500 99999 YAOUNDE NSIMALEN CM FKYS 3.7230000000000003 11.552999999999999 694.3 19490914 20200624 649504 99999 YAOUNDE VILLE CM FKKY 3.8360000000000003 11.523 751.0 19930408 20200624 649600 99999 ABONG-MBANG CM FKAG 3.967 13.2 693.0 19730101 20180519 649610 99999 LOMIE CM FKAL 3.15 13.617 624.0 19730101 19980923 649620 99999 YOKADOOMA CM 3.517 15.1 534.0 19500211 19511202 649700 99999 CAMPO CM 2.367 9.8 25.0 19500301 20121122 649710 99999 KRIBI CM FKKB 2.95 9.9 16.0 19500201 20120519 649730 99999 AMBAM CM 2.383 11.283 602.0 19500318 19511225 650010 99999 YELWA NI 10.883 4.75 244.0 19490321 20200622 650020 99999 ENUGU NI 6.4670000000000005 7.567 142.0 20040811 20200624 650030 99999 BIRNIN KEBBI NI 12.467 4.217 220.0 20040902 20190923 650100 99999 SADIQ ABUBAKAR III INTL NI DNSO 12.915999999999999 5.207000000000001 307.8 19490321 20200612 650150 99999 GUSAU NI DNGU 12.172 6.696000000000001 463.3 19730102 20200421 650190 99999 KADUNA NI DNKA 10.696 7.32 631.9 19490321 20200624 650280 99999 KATSINA NI DNKT 13.017000000000001 7.683 517.0 19490321 20200325 650300 99999 ZARIA NI DNZA 11.13 7.686 661.4 19730812 20181016 650460 99999 MALLAM AMINU INTL NI DNKN 12.048 8.525 476.1 19430501 20200624 650550 99999 BAUCHI NI 10.283 9.817 609.0 19490421 20200412 650640 99999 NGURU NI 12.883 10.467 344.0 19490411 20200522 650730 99999 POTISKUM NI 11.7 11.033 414.0 19490321 20160427 650750 99999 GOMBE NI DNGO 10.283 11.15 505.0 20120613 20200413 650820 99999 MAIDUGURI NI 11.85 13.083 354.0 19430501 20200614 651000 99999 IBADAN NI DNIB 7.362 3.978 221.0 20040815 20200622 651010 99999 ILORIN NI DNIL 8.44 4.494 343.2 19500203 20200624 651080 99999 SHAKI NI 8.667 3.383 456.0 19870518 20200615 651120 99999 BIDA NI DNBI 9.1 6.017 143.0 19500101 20200624 651125 99999 NNAMDI AZIKIWE INTL NI DNAA 9.007 7.263 342.3 20050102 20200622 651230 99999 MINNA NI 9.617 6.5329999999999995 260.0 19490516 20200624 651240 99999 LAFIA NI 8.55 8.533 181.0 20110601 20200614 651250 99999 ABUJA NI 9.25 7.0 344.0 19880101 20200624 651340 99999 YAKUBU GOWON NI DNJO 9.64 8.869 1289.9 19490305 20200621 651450 99999 IBI NI 8.183 9.75 111.0 19500306 20140130 651640 99999 19870518 19870518 651670 99999 YOLA NI DNYO 9.258 12.43 182.6 19500211 20200612 652000 99999 ISEYEN NI 7.9670000000000005 3.6 330.0 20090303 20200528 652010 99999 MURTALA MUHAMMED NI DNMM 6.577000000000001 3.321 41.1 19490225 20200624 652015 99999 MAIDUGURI NI 11.85 13.083 344.0 20040804 20081230 652016 99999 OWERRI LMO NI DNIM 5.417000000000001 7.2 114.0 20110529 20200605 652020 99999 OSHODI NI 6.5 3.383 19.0 19430609 20200624 652030 99999 LAGOS ROOF NI 6.45 3.4 19.0 20111019 20200525 652050 99999 BOGUS NIGERIAN NI 19880106 20041231 652080 99999 IBADAN NI 7.433 3.9 228.0 19490225 20200621 652100 99999 IJEBU ODE NI 6.832999999999999 3.9330000000000003 77.0 20090303 20200622 652130 99999 ABEOKUTA NI 7.167000000000001 3.333 104.0 19830701 20200619 652150 99999 OSHOGBO NI DNOS 7.7829999999999995 4.4830000000000005 304.0 19730101 20200624 652220 99999 ONDO NI 7.1 4.833 287.0 19490325 20190418 652240 99999 ADO EKITI NI 7.65 5.2 453.0 20120120 20120120 652290 99999 BENIN CITY NI DNBE 6.317 5.1 79.0 19490225 20200617 652320 99999 AKURE NI DNAK 7.25 5.3 335.3 20110328 20200624 652360 99999 WARRI NI 5.517 5.733 4.0 19490225 20200621 652430 99999 LOKOJA NI 7.8 6.733 44.0 19490325 20170904 652450 99999 ONITSHA NI 6.15 6.7829999999999995 86.0 19871202 20151106 652460 99999 AWKA NI 6.2 7.05 325.0 20120613 20171026 652500 99999 PORT HARCOURT INTL NI DNPO 5.015 6.95 26.5 19490225 20200624 652510 99999 19870518 19870518 652520 99999 OWERRI NI 5.483 7.0 91.0 19880101 20200624 652540 99999 UMUAHIA NI 5.483 7.55 122.0 20180714 20190921 652570 99999 ENUGU NI 6.4670000000000005 7.55 137.0 19490325 20081217 652600 99999 UYO NI DNAI 5.05 7.917000000000001 38.0 19830705 20200616 652640 99999 CALABAR NI DNCA 4.976 8.347000000000001 64.0 19490225 20200624 652710 99999 MAKURDI NI DNMK 7.704 8.613999999999999 113.1 19730101 20200624 652730 99999 IKOM NI 5.9670000000000005 8.717 93.0 19791103 20110826 652740 99999 OBUDU NI 6.6 9.317 284.0 20111204 20191017 652750 99999 OGOJA NI 6.667000000000001 8.8 117.0 19830701 20200317 652850 99999 TIKO CM 4.1 9.35 51.8 19490511 19521029 652920 99999 MAMFE CM 5.7170000000000005 9.283 152.0 19490323 19520901 653060 99999 KANDI BN DBBK 11.133 2.9330000000000003 292.0 19490401 20200624 653190 99999 NATITINGOU BN DBBN 10.317 1.383 461.0 19490407 20200624 653300 99999 PARAKOU BN DBBP 9.35 2.617 393.0 19730101 20200624 653330 99999 TCHAOUROU BN 8.867 2.6 327.0 19490401 20181005 653350 99999 SAVE BN DBBS 8.033 2.467 200.0 19490401 20200624 653380 99999 BOHICON BN DBBC 7.167000000000001 2.0669999999999997 167.0 19490402 20200624 653440 99999 CADJEHOUN BN DBBB 6.357 2.384 5.8 19490401 20200624 653510 99999 DAPAON TO 10.867 0.25 330.0 19780311 20081230 653520 99999 MANGO/SANSANNE TO DXMG 10.367 0.467 146.0 19490125 20200624 653550 99999 NIAMTOUGOU INTERNATIONAL TO DXNG 9.767000000000001 1.091 461.8 19851201 20200624 653570 99999 KARA TO 9.55 1.167 341.0 19771103 20200624 653610 99999 SOKODE TO DXSK 8.982999999999999 1.15 387.0 19490119 20200624 653760 99999 ATAKPAME/AKPAKA TO DXAK 7.582999999999999 1.117 402.0 19490114 20200624 653765 99999 DAPANGO TO DXDP 10.8 0.25 919.0 20051105 20200624 653780 99999 KOUMA-KONDA TO 6.95 0.583 641.0 20051226 20051226 653800 99999 TABLIGBO TO DXTA 6.582999999999999 1.5 44.0 19730101 20200624 653870 99999 GNASSINGBE EYADEMA INTL TO DXXX 6.166 1.255 21.9 19490114 20200624 654010 99999 NAVRONGO GH DGLN 10.9 -1.1 203.0 19490112 20200624 654040 99999 WA GH DGLW 10.083 -2.508 323.1 19730101 20200624 654080 99999 TAKORACI GHANA GH 4.883 -0.233 8.8 19490116 19521122 654160 99999 BOLE GH DGLB 9.033 -2.483 301.0 19730101 20200624 654180 99999 TAMALE GH DGLE 9.557 -0.863 168.6 19730101 20200624 654200 99999 YENDI GH DGLY 9.45 -0.017 197.0 19730111 20200624 654220 99999 KUMASI GHANA GH 6.7170000000000005 -0.4 292.9 19490112 19521230 654290 99999 NAVRONGO GHANA GH 10.883 -0.917 202.1 19500218 19521218 654320 99999 WENCHI GH DGSW 7.75 -2.1 340.0 19730201 20200624 654360 99999 SALTPOND GHANA GH 5.2 -0.9329999999999999 5.8 19490112 19521231 654370 99999 KETE-KRACHI GH 7.817 -0.033 122.0 19730111 20200624 654390 99999 SUNYANI GH DGSN 7.362 -2.329 309.1 19741102 20200624 654420 99999 KUMASI GH DGSI 6.715 -1.591 287.1 19730101 20200624 654430 99999 TAMALE GHANA GH 9.417 0.883 188.1 19490116 19521230 654450 99999 SEFWI BEKWAI GH DGSB 6.2 -2.333 172.0 19740711 20200624 654490 99999 ACCRA GHANA GH 5.6 0.16699999999999998 65.2 19501201 19521231 654500 99999 ABETIFI GH 6.667000000000001 -0.75 594.0 20050405 20200624 654530 99999 HO GH DGAH 6.6 0.467 158.0 19730101 20200624 654570 99999 AKIM ODA GH DGKA 5.933 -0.983 140.0 19490112 20200624 654590 99999 KOFORIDUA GH DGKK 6.082999999999999 -0.25 167.0 19730313 20200624 654600 99999 AKUSE GH DGAK 6.1 0.11699999999999999 19.0 19730102 20200624 654620 99999 AKATSI GH 6.117000000000001 0.8 178.0 19780805 20200624 654640 99999 YENDI GHANA GH 9.45 0.017 196.6 19510620 19521125 654650 99999 AXIM GH DGTX 4.867 -2.233 40.0 19730103 20200624 654670 99999 TAKORADI GH DGTK 4.896 -1.775 6.4 19730101 20200624 654690 99999 SALTPOND GH DGAS 5.2 -1.067 47.0 19730101 20200624 654710 99999 AKUSE GHANA GH 6.082999999999999 0.11699999999999999 18.6 19490112 19521230 654720 99999 KOTOKA INTL GH DGAA 5.605 -0.16699999999999998 62.5 19420701 20200624 654730 99999 TEMA GH DGAT 5.617000000000001 0.0 18.0 19790108 20200624 654750 99999 ADA GH DGAD 5.7829999999999995 0.633 7.0 19730108 20200624 654780 99999 ATSIATI NORTHWEST GH 6.667000000000001 0.5 237.0 19490202 19521231 654810 99999 ADA GHANA GH 5.767 0.633 9.1 19500809 19521231 654850 99999 KETA GH 5.917000000000001 0.983 0.0 19490112 19500731 655000 99999 MARKOYE UV 14.633 -0.067 295.0 20040524 20160127 655010 99999 DORI UV DFEE 14.033 -0.033 277.0 19490520 20200624 655020 99999 OUAHIGOUYA UV DFCC 13.567 -2.417 336.0 19730101 20200624 655030 99999 OUAGADOUGOU UV DFFD 12.353 -1.5119999999999998 316.1 19490401 20200624 655050 99999 DEDOUGOU UV DFOD 12.467 -3.483 300.0 19830701 20200624 655070 99999 FADA N'GOURMA UV DFEF 12.033 0.36700000000000005 309.0 19491202 20200624 655100 99999 BOBO DIOULASSO UV DFOO 11.16 -4.331 460.6 19490402 20200624 655160 99999 BOROMO UV DFCO 11.75 -2.9330000000000003 271.0 19500201 20200624 655180 99999 PO UV DFCP 11.15 -1.15 322.0 19830701 20200624 655220 99999 GAOUA UV DFOG 10.333 -3.1830000000000003 335.0 19490410 20200624 655280 99999 ODIENNE IV DIOD 9.5 -7.567 421.0 19490402 20200624 655360 99999 KORHOGO IV DIKO 9.387 -5.557 370.0 19730101 20200624 655390 99999 FERKESSEDOUGOU IV 9.6 -5.2 323.0 19490407 19521231 655450 99999 BONDOUKOU/SOKO IV DIBU 8.05 -2.783 370.0 19730102 20200624 655480 99999 MAN IV DIMN 7.272 -7.587000000000001 331.9 19490402 20200624 655550 99999 BOUAKE IV DIBK 7.739 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19841101 20040927 656630 99999 BOGUS LIBERIAN LI 19841102 20030203 656780 99999 BOGUS LIBERIAN LI 19841101 19841101 656850 99999 20031010 20031010 656920 99999 BOGUS LIBERIAN LI 19841101 19841101 656940 99999 BOGUS LIBERIAN LI 19841224 19841224 656990 99999 BOGUS LIBERIAN LI 19841102 20040525 659020 99999 19870511 19870511 661040 99999 CABINDA AO FNCA -5.597 12.187999999999999 20.1 19490104 20200624 661160 99999 NOQUI AO -5.867000000000001 13.433 -999.9 19920902 20171118 661180 99999 MBANZA CONGO AO FNBC -6.27 14.247 566.9 19811011 20200302 661200 99999 SOYO A AO -6.117000000000001 12.35 -1.0 20080501 20160517 661210 99999 MAQUELA DO ZOMBO AO -6.0329999999999995 15.117 920.0 19671105 20070111 661300 99999 N'ZETO (AMBRIZETE) AO -7.233 12.867 17.0 19630101 20170317 661360 99999 TOTO AO -7.167000000000001 14.267000000000001 540.0 19671105 19750222 661361 99999 NAMIBE AO -15.267000000000001 12.15 66.0 20050103 20200624 661362 99999 DUNDO AO -7.4 20.816999999999997 747.0 20050114 20200624 661363 99999 SUMBE AO -11.167 13.85 11.0 20050201 20200624 661365 99999 SOYO AO -6.132999999999999 12.367 5.0 20070629 20200624 661400 99999 CARMONA AO -7.582999999999999 15.0 829.0 19560504 20040821 661420 99999 NEGAGE AO -7.683 15.367 1249.0 19671105 19751231 661520 99999 DUNDO AO -7.4 20.816999999999997 776.0 19510613 20080220 661600 99999 LUANDA 4 DE FEVEREIRO AO FNLU -8.857999999999999 13.231 74.1 19490103 20200624 661720 99999 N'DALATANDO AO -9.283 14.917 795.0 19740429 20200624 661870 99999 CAMAXILO AO -8.367 18.933 1180.0 19730104 20081023 662100 99999 SUMBE AO -11.2 13.85 10.0 20050704 20151202 662150 99999 MALANJE AO FNMA -9.525 16.312 1179.0 19490930 20200624 662260 99999 SAURIMO AO FNSA -9.689 20.432000000000002 1092.4 19520616 20200624 662400 99999 PORTO AMBOIM AO -10.7 13.75 5.0 19521013 20180625 662600 99999 SUMBE AO -11.2 13.85 -999.9 19850701 20081220 662700 99999 WAKU KUNGU (CELA) AO -11.417 15.117 1304.0 19610101 20021104 662850 99999 LUENA AO FNUE 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10.0 19840925 19850205 692774 99999 AFWA ASSIGNED 0.0 0.0 0.0 19841105 19990522 692784 99999 KING SALMON US AK KQRV 58.667 -156.65 14.0 19841127 20001205 692794 99999 19841211 19910205 692804 99999 AFWA ASSIGNED 0.0 0.0 0.0 19850131 19910207 692814 99999 SHANK APRT AF OASH 33.917 69.067 2016.0 19850121 20000404 692824 99999 19851205 19950218 692834 99999 CAMP SPANN AF TX KQSP 36.65 66.983 408.0 19851214 19851214 692844 99999 AFWA ASSIGNED 0.0 0.0 0.0 19870125 20001108 692854 99999 AFWA ASSIGNED 0.0 0.0 0.0 19890201 19890201 692864 99999 20001017 20020427 692874 99999 SIALKOT PK KQST 32.5 74.533 255.0 19890201 19981105 692884 99999 AFWA ASSIGNED 0.0 0.0 0.0 19910209 19991124 692894 99999 AVIANO AFB / TEST IT 46.03 12.36 127.4 19991203 20001024 692904 99999 AFWA ASSIGNED 0.0 0.0 0.0 19910209 20010404 692914 99999 AFWA ASSIGNED 0.0 0.0 0.0 19910209 19991216 692924 99999 AFWA ASSIGNED 0.0 0.0 0.0 19910312 20000414 692934 99999 19910312 20000415 692944 99999 19910209 20001207 692964 99999 19910217 19910217 692974 99999 19910215 19910316 692984 99999 POSTOJNA AIRFIELD SI 45.75 14.2 533.1 19910217 19910217 692994 99999 19910209 19910316 693004 99999 19950814 19981207 693014 99999 19921224 20020328 693044 99999 AL FALLUJAH IZ KQMA 33.317 43.883 47.0 19940629 20081204 693054 99999 19941102 20010919 693064 99999 AFWA ASSIGNED IT KQGB 19890203 20040106 693074 99999 19830819 19900301 693084 99999 19830815 19970805 693094 99999 19830901 19910522 693104 99999 19910227 19910927 693114 99999 19910115 19960114 693120 99999 19970916 19991224 693124 99999 19831029 19951229 693134 99999 19840905 19960517 693144 99999 KANDAHAR RUNWAY AF 31.5 65.85 1008.0 19890405 20030816 693154 99999 19840525 19930210 693164 99999 19850804 19910812 693174 99999 19870205 19990427 693184 99999 19870205 20000106 693194 99999 19870205 19990427 693204 99999 AFWA ASSIGNED 0.0 0.0 0.0 19870204 19940619 693214 99999 19890312 19980527 693224 99999 19870812 20020521 693234 99999 AFWA ASSIGNED 0.0 0.0 0.0 19840715 20030815 693244 99999 19901015 19980703 693254 99999 2 CWSS FMQ-22 US FL 30.416999999999998 -86.667 8.0 19830811 20030816 693264 99999 19850730 19930722 693274 99999 19841202 19990711 693284 99999 19840910 19940519 693294 99999 19841205 20030612 693304 99999 19841202 19990406 693314 99999 19840910 19941010 693324 99999 19840524 19910228 693334 99999 19840908 20000903 693344 99999 19910420 19920228 693354 99999 19840905 20000914 693364 99999 19890908 20020411 693374 99999 19901001 20020130 693384 99999 BALAD IZ KQTO 33.95 44.367 49.0 19901020 20081231 693394 99999 20000105 20001107 693404 99999 CAMP STANLEY TMQ-53P KS 37.717 127.1 64.9 19820331 20020406 693414 99999 MIRYANG (TMQ-53P) KS 35.65 128.75 47.9 19820604 19970219 693424 99999 19801110 20010517 693434 99999 19820604 19830919 693454 99999 19980526 20001028 693464 99999 19911013 20001021 693474 99999 19910314 20001028 693494 99999 20001207 20001207 693504 99999 19941221 19941221 693514 99999 19820201 20020513 693524 99999 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693734 99999 19960901 20020108 693754 99999 19930213 20010710 693764 99999 20010620 20010620 693774 99999 APIAY AIR BASE / CONTINGENCY CO 4.0760000000000005 -73.564 376.4 20080101 20190402 693784 99999 19940413 20000622 693794 99999 19960830 20020402 693804 99999 ROBERTS INTL AIRPORT / MONROVIA LI 6.233 -10.367 9.4 20020413 20020413 693814 99999 19980528 19980528 693824 99999 20020307 20020509 693840 99999 BOW DRILL CA 44.0 -59.333 0.0 19840619 19850723 693850 99999 GLOMAR HIGH ISLAND CA 47.167 -62.833 0.0 19850210 19850502 693860 99999 DRURY CREEK CA 62.2 -134.38299999999998 609.0 19790907 19801224 693870 99999 CARMACKS CA YK CEX4 62.117 -136.183 539.0 19791030 20020417 693880 99999 KLONDIKE CA 64.45 -138.217 991.0 19790914 19881130 693900 99999 SHELDON LAKE CA 62.617 -131.267 902.0 19790914 19790914 693910 99999 TUCHITUA CA 60.917 -129.25 759.0 19791109 19801203 693920 99999 WHITEFISH CA 77.2 -106.7 0.0 19791017 19891111 693940 99999 DUNDAS PENINSULA CA 74.5 -113.383 0.0 19790720 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41.05 -113.06700000000001 1292.0 19800423 19910626 694504 99999 19791221 19961029 694514 99999 19791220 19980326 694524 99999 19791226 19930622 694534 99999 19791221 19961029 694544 99999 19791221 19930522 694554 99999 19791221 19961029 694564 99999 19791221 20030628 694574 99999 19791221 19980318 694584 99999 19821027 19860907 694594 99999 COP CURRY AF KQYJ 32.516999999999996 68.867 1863.0 19821019 19950911 694604 99999 YUKON TEST AREA US AK 64.721 -146.529 534.9 19831011 19871010 694614 99999 19821123 19871228 694615 99999 FOB ROBINSON AF KQYM 32.016999999999996 64.833 913.0 19841012 19961029 694616 99999 19841015 19910619 694634 99999 19910827 19930527 695013 99999 19970208 19970208 695023 99999 HORN ISLAND (HID) AS KQXC -10.583 142.3 19420804 20030816 695033 99999 20010217 20030609 695314 99999 ATSUGI (NPMOD) JA 35.45 139.45 63.0 20000315 20040606 695334 99999 N'DJAMENA CD 12.123 15.039000000000001 304.8 20000517 20081219 695354 99999 AFWA ASSIGNED US MS KQNF 20020212 20020331 695364 99999 AFWA ASSIGNED US VA KQNG 20010627 20081015 695374 99999 19991213 20020709 695384 99999 19981215 20020307 695414 99999 RED PASS LAKE / NTC US CA 35.266999999999996 -116.367 683.1 20010319 20080611 695419 99999 ERBIL IZ 36.133 43.583 408.0 20070102 20090327 695424 99999 AFWA ASSIGNED US CA KQNM 20011101 20020820 695444 99999 19961018 20000328 695454 99999 19961109 20000208 695464 99999 20000514 20001025 695474 99999 AFWA ASSIGNED 0.0 0.0 0.0 19980917 19991203 695484 99999 19980729 19991020 695494 99999 19980716 20011119 695504 99999 19980528 20020523 695524 99999 19970325 19991209 696014 99999 19870327 19980326 696024 99999 19860325 19920330 696034 99999 19850820 19980331 696044 99999 SENDAI JA KQJD 38.133 140.917 5.0 19850319 19900909 696054 99999 YAMAGATA JA KQJE 38.417 140.36700000000002 108.0 19880711 19930525 696064 99999 HANAMAKI JA KQJF 39.433 141.13299999999998 91.0 19840522 19980425 696074 99999 19850320 19910626 696084 99999 19910521 19970225 696094 99999 19880325 19880406 696104 99999 19850319 19980604 696114 99999 19870401 19980604 696124 99999 19971019 20030522 696134 99999 AFWA ASSIGNED 0.0 0.0 0.0 19901201 19971030 696144 99999 19970915 19971124 696154 99999 19870507 19901020 696164 99999 19900807 19900807 696174 99999 20011212 20030816 696204 99999 19850325 19950913 696224 99999 19970530 19970530 696264 99999 19960927 19980305 696274 99999 19870413 19990606 696284 99999 19870410 19941116 696294 99999 19901110 19981016 696304 99999 19870503 19931118 696314 99999 19910302 20010606 696324 99999 19860317 19990627 696334 99999 ORO GRANDE - EXERCISE US NM 32.417 -105.993 1237.8 19910304 19990625 696344 99999 19900515 19970829 696354 99999 19901018 19940802 696364 99999 19901014 19940215 696374 99999 FOB NORMANDY IZ KQOK 34.05 45.0 80.0 19870515 19921124 696384 99999 FOB WAR HORSE IZ KQOL 33.75 44.6 46.0 19910101 19951019 696394 99999 19880416 19980911 696404 99999 FOB MCHENRY IZ KQON 35.3 43.833 191.0 19900819 19940419 696414 99999 19900816 20030816 696424 99999 19870430 20001018 696434 99999 19901001 19940618 696444 99999 19900915 19970813 696454 99999 AUX 2 / EXERCISE US AZ 32.533 -114.51700000000001 82.0 19840426 19920829 696464 99999 TACTS AIRFIELD / EXERCISE US AZ 32.5 -114.15 248.1 19900809 19960709 696474 99999 19940803 20000217 696484 99999 19891205 20011013 696494 99999 FOB SHINWAR AF KQOW 34.183 70.817 653.0 19910217 20000216 696514 99999 19850607 20000217 696524 99999 19891101 20011004 696534 99999 19910101 19921008 696544 99999 19901206 19980928 696554 99999 19840904 20030608 696564 99999 19840904 19910314 696574 99999 19890720 19910314 696584 99999 19901215 19980907 696594 99999 19910114 19980909 696604 99999 19901215 20000111 696614 99999 19910124 19910313 696624 99999 19901217 19910310 696634 99999 19901225 20030816 696644 99999 19890929 20030816 696654 99999 19910126 20030816 696664 99999 AFWA ASSIGNED 0.0 0.0 0.0 19841120 20020313 696674 99999 19910102 20001013 696684 99999 19970909 19990717 696694 99999 MORON AB SP KQQQ 37.167 -5.617000000000001 19840828 20010222 696704 99999 AFWA ASSIGNED 0.0 0.0 0.0 19891128 20000217 696714 99999 AFWA ASSIGNED 0.0 0.0 0.0 19910304 20000217 696724 99999 19900808 20020315 696744 99999 AFWA ASSIGNED KQRG 20020115 20020219 696754 99999 CAMP LEMONNIER DJ 11.547 43.159 11.0 19960807 20041231 696764 99999 AFWA ASSIGNED KQRI 20020108 20020225 696774 99999 AFWA ASSIGNED KQRJ 20011219 20020225 696784 99999 19980329 19980329 696790 99999 19970313 20010502 696794 99999 19910102 19970322 696804 99999 19971010 20030816 696814 99999 19970330 20030626 696824 99999 KISENYI UG 0.067 32.45 1152.8 20000217 20010222 696834 99999 19970311 20011019 696854 99999 AFWA ASSIGNED 0.0 0.0 0.0 19980923 20000512 696864 99999 19990412 20020525 696874 99999 19900605 20020415 696884 99999 19980220 19980220 696890 99999 20020501 20030816 696894 99999 19971208 20020430 696904 99999 19850909 20011128 696914 99999 19850924 20020508 696924 99999 AFWA ASSIGNED 0.0 0.0 0.0 19891221 19981011 696934 99999 19850320 20011216 696944 99999 19900112 20010509 696954 99999 19940727 20000304 696964 99999 19891127 19940802 696974 99999 19990328 19990328 696984 99999 19860816 19951214 696994 99999 19850927 19970214 697004 99999 19930611 19960920 697014 99999 19940923 19990717 697024 99999 19931014 20010830 697034 99999 19940623 20010807 697040 99999 19970406 20030602 697044 99999 19861003 19970422 697054 99999 TACLOBAN RP 11.232999999999999 125.03299999999999 3.0 19840823 19991227 697064 99999 19840823 19991129 697074 99999 19850327 20010119 697084 99999 19850327 20000118 697094 99999 FOB BOSTIC AF KQVE 35.217 71.517 1042.0 19850423 19931109 697104 99999 MANDA BAY KE -2.15 40.9 15.2 19850423 19920822 697114 99999 19901220 19991117 697124 99999 19910530 19940210 697134 99999 ILOILO RP 10.717 122.53299999999999 8.0 19840322 20020525 697144 99999 19900622 19951101 697174 99999 MACTAN CEBU INTL RP 10.317 123.95 9.0 19920727 19920727 697184 99999 19920727 19931108 697194 99999 ORMOC RP 11.067 124.56700000000001 25.0 19870517 20080609 697204 99999 VARPALOTA TRAINING AREA / EXERCISE HU 47.133 17.9 228.6 19910624 19920726 697214 99999 19920726 19920726 697224 99999 AFWA ASSIGNED 0.0 0.0 0.0 19910122 19920726 697234 99999 AFWA ASSIGNED 0.0 0.0 0.0 19870320 19920726 697244 99999 19930610 19930610 697254 99999 20010926 20010926 697264 99999 20010926 20030619 697284 99999 BAGRAM AF 34.944 69.259 1492.0 20010615 20030816 697294 99999 AFWA ASSIGNED 0.0 0.0 0.0 19991009 19991102 697304 99999 FOB LASHKAR GAH AF KQSC 31.6 64.367 786.0 20011205 20030816 697314 99999 19890911 20030521 697324 99999 19840210 20010322 697330 99999 19960801 19990212 697334 99999 19860427 19920122 697344 99999 19891017 20001022 697354 99999 19950705 19951102 697364 99999 19860304 19981108 697374 99999 19970207 20010403 697384 99999 19890915 20030816 697394 99999 20010202 20030816 697404 99999 19961213 19961220 697444 99999 19850131 19980901 697454 99999 19860501 19910314 697464 99999 AFWA ASSIGNED 0.0 0.0 0.0 19850319 20030816 697474 99999 19900223 19910313 697484 99999 AL UDEID QA 25.116999999999997 51.317 39.6 19850205 20030816 697494 99999 19850918 19900611 697504 99999 19850330 19950119 697514 99999 AFWA ASSIGNED 0.0 0.0 0.0 19850320 19970922 697524 99999 19901224 20020426 697534 99999 FORT IRWIN US CA KQIW 35.283 -116.617 322.0 19850218 20080201 697544 99999 19840812 20020524 697554 99999 19850409 19920627 697560 99999 19970402 20030816 697564 99999 STOVAL AIRFIELD / EXERCISE US AZ 32.733000000000004 -113.633 117.0 19830901 19970418 697574 99999 AFWA ASSIGNED 0.0 0.0 0.0 20010125 20010517 697594 99999 KABUL SOCCER FIELD AF 34.53 69.19 1805.3 19950515 20020123 697614 99999 20020707 20020713 697644 99999 20030518 20030628 697654 99999 COB SPEICHER IZ KQSL 34.667 43.516999999999996 139.0 20020509 20081231 697674 99999 FOB SHUKVANI AF 32.1 64.8 993.7 19991013 19991013 697704 99999 19950130 19990407 697714 99999 ABECHE CD 13.85 20.85 555.4 19910501 19971215 697724 99999 FOB TODD AF KQTD 35.6 63.3 472.0 19941214 19991007 697734 99999 19960606 20010709 697744 99999 TIFNIT MO 30.316999999999997 -9.417 76.2 19970304 20011105 697754 99999 19931031 19931031 697774 99999 TAJI IZ 33.516999999999996 44.266999999999996 36.9 19960530 20081231 697834 99999 19941215 19950505 697874 99999 19960426 19960426 697884 99999 FOB DIAMONDBACK IZ KQTU 36.3 43.15 216.0 19910614 20081231 697894 99999 19930711 20010223 697904 99999 20030608 20030613 697924 99999 KIRKUK IZ KQTX 35.467 44.35 323.0 20030518 20081231 697944 99999 19920717 19920717 697954 99999 19961203 20010619 697984 99999 19990909 19991109 698004 99999 19840623 20001119 698014 99999 19870330 19910317 698024 99999 19840830 19911111 698034 99999 19831103 19981107 698044 99999 19881214 19951021 698054 99999 19831103 19910314 698064 99999 19880420 20020502 698074 99999 GUIUAN RP 11.033 125.75 6.4 19840907 19990228 698084 99999 ALI AL SALEM KU 29.33 47.516999999999996 144.0 19850804 20030816 698094 99999 AFWA ASSIGNED KQGW 19860302 19991117 698104 99999 AL DHAFRA AE 24.25 54.55 23.0 19840417 20030816 698114 99999 METMFR 29 PALMS US CA KQGY 34.3 -116.15 626.0 19840216 19980618 698124 99999 19840216 19990422 698134 99999 19990911 19991221 698144 99999 20030526 20030526 698264 99999 CAMP UDAIRI KU 29.7 47.433 131.1 20030518 20030816 698324 99999 BOGUE FIELD MCALF US NC KQWT 34.683 -77.033 19960409 19960901 698354 99999 19961006 19961006 698374 99999 20001206 20010719 698384 99999 19941220 20010914 698394 99999 20010320 20010410 698414 99999 319 MISSILE SQ US CO KQXG 40.5 -103.833 1880.0 20010320 20010411 698444 99999 AFWA ASSIGNED 0.0 0.0 0.0 20030518 20081231 698464 99999 19911205 19911205 698584 99999 19911005 20030602 698594 99999 20030518 20030816 698674 99999 FOB VICTORY/STONE AF 34.117 62.217 1112.5 20080108 20080225 698684 99999 FOB JUSTICE IZ KQYV 33.633 44.583 64.0 20080128 20080217 698689 99999 MARANDUA AB CO SKUA 5.524 -68.686 86.9 20070202 20071007 698704 99999 AFWA ASSIGNED CO KQYX 4.217 -74.633 895.0 20080628 20080716 698714 99999 19941031 19941031 698724 99999 19910725 19961229 699404 99999 FT SHERMAN (ROCOB) PM 9.333 -79.983 19800423 19810612 699604 03145 YUMA MCAS US AZ KNYL 32.65 -114.617 64.9 19870701 20091231 700001 26492 PORTAGE GLACIER US AK PATO 60.785 -148.839 31.4 20060101 20200625 700001 99999 PORTAGE GLACIER US AK PATO 60.783 -148.833 29.0 20040510 20051231 700197 26558 SELAWIK US AK PASK 66.6 -159.986 7.6 20060101 20200625 700197 99999 SELAWIK US AK PASK 66.617 -160.0 8.0 19940818 20051231 700260 27502 W POST-WILL ROGERS MEMORIAL AIRPORT US AK PABR 71.283 -156.782 9.5 19450101 20200625 700264 99999 SSDC US AK 71.317 -155.217 0.0 19920807 19920807 700265 99999 BARROW W POST-W ROGERS ARPT US AK 71.333 -156.63299999999998 4.0 19750228 19780130 700271 27506 BARROW POINT BARROW US AK KPBA 71.333 -156.65 6.1 19740318 19750302 700300 27503 WAINWRIGHT AIRPORT US AK PAWI 70.639 -159.995 9.1 19991102 20200625 700300 27508 WAINWRIGHT (DEW) US AK PAWI 70.617 -159.85 27.0 19730101 19991231 700300 99999 WAINWRIGHT (DEW) US AK PAWI 70.617 -159.85 27.0 20000101 20041231 700365 99999 SAGWON US AK SAG 69.367 -148.7 198.0 20130106 20130106 700450 27512 LONELY US AK LNI 70.917 -153.25 9.1 19730101 19890925 700450 99999 LONELY (DEW) US AK 70.917 -153.233 12.0 20020505 20060125 700630 27403 OLIKTOK POW 2 US AK POLI 70.5 -149.88299999999998 4.9 19730101 19990929 700630 99999 OLIKTOK LRRS US AK POLI 70.5 -149.88 5.0 20030811 20030811 700631 25715 ATKA AIRPORT US AK PAAK 52.22 -174.206 17.1 20060101 20130430 700631 99999 ATKA US AK PAKA 57.067 -135.36700000000002 15.0 20040713 20051231 700632 26645 BUCKLAND AIRPORT US AK PABL 65.983 -161.13299999999998 9.1 20060101 20200625 700632 99999 BUCKLAND US AK PABL 65.983 -161.15 9.0 20040713 20051231 700633 99999 BEAUFORT SEA US AK 0.0 0.0 -999.0 20130103 20130425 700634 27408 UGNU-KUPRAUK AIRPORT US AK PAKU 70.331 -149.59799999999998 20.4 20060101 20200625 700634 99999 UGNU-KUPARUK AIRPORT US AK PAKU 70.317 -149.583 20.0 19810220 20051231 700635 26465 GALBRAITH LAKE AIRPORT US AK PAGB 68.479 -149.49 812.6 20060105 20200504 700635 99999 GALBRAITH LAKE US AK PAGB 68.483 -149.483 814.0 19750108 20051229 700636 27405 PRUDHOE BAY US AK PAUD 70.25 -148.333 14.0 19730101 19990614 700637 27406 DEADHORSE AIRPORT US AK PASC 70.192 -148.477 18.6 19730101 20200625 700638 99999 FALSE PASS US AK PAKF 54.85 -163.417 6.0 19730101 20190801 700639 99999 HAPPY VALLEY US AK 69.167 -148.817 297.0 19740616 19780111 700860 27401 BARTER ISLAND AIRPORT US AK PABA 70.134 -143.577 0.6 19471001 20200625 700860 99999 BARTER ISLAND US AK PABA 70.133 -143.63299999999998 15.0 20000102 20041231 700863 99999 BARTER ISLAND LRRS US AK PBTI 70.134 -143.577 1.5 19901104 19910621 700865 99999 BARTER ISLAND(AWOS) US AK 70.133 -143.583 2.0 19731207 19961009 700866 99999 CHALLENGE ISLAND US AK 70.233 -146.5 -999.0 19750109 19810328 700867 99999 FRANKLIN BLUFFS US AK 69.717 -148.683 108.0 19750108 19770816 700868 99999 ATIGUN US AK 68.183 -149.417 1032.0 19750112 19750401 700869 99999 CHANDALAR SHELF US AK 5CD 68.067 -149.583 982.0 19750109 19780923 701040 26631 CAPE LISBURNE LRRS AIRPORT US AK PALU 68.867 -166.13299999999998 4.9 20060101 20200625 701040 99999 CAPE LISBURNE AFS US AK PALU 68.883 -166.13299999999998 3.0 19520829 20051231 701043 26623 POINT HOPE AIRPORT US AK PAPO 68.35 -166.8 4.0 20060101 20200625 701043 99999 POINT HOPE AIRPORT US AK PAPO 68.35 -166.8 4.0 19431001 20051231 701045 26649 RED DOG AIRPORT US AK PADG 68.031 -162.903 296.9 20060103 20200625 701045 99999 RED DOG US AK PADG 68.067 -162.833 297.0 19980226 20051230 701046 26418 CENTRAL AIRPORT US AK PACE 65.567 -144.765 280.4 20020902 20130210 701160 26618 WALES US AK 65.617 -168.05 5.0 19430701 19771221 701160 99999 WALES US 65.617 -168.05 5.0 20040701 20040701 701170 26634 TIN CITY LRRS AIRPORT US AK PATC 65.563 -167.921 82.6 20060101 20200625 701170 99999 TIN CITY AFS US AK PATC 65.567 -167.917 83.0 19530504 20051231 701175 99999 US AK 19740604 19740628 701190 99999 PORT CLARENCE CGS US AK PAPC 65.25399999999999 -166.859 3.0 19730101 20200530 701195 26625 SHISHMAREF/NEW AIRPORT US AK PASH 66.25 -166.08900000000003 2.1 20060101 20200227 701195 99999 SHISHMAREF US AK PASH 66.25 -166.083 4.0 19831104 20051231 701196 00102 BOB BARKER MEMORIAL AIRPORT US AK PAIK 66.983 -160.433 51.2 20080822 20200625 701196 99999 BOB BAKER MEM US AK PAIK 66.976 -160.437 50.6 19831222 19850630 701210 26624 POINT LAY LRRS AIRPORT US AK PPIZ 69.733 -163.005 7.6 20060101 20200625 701210 26638 POINT LAY US AK PPIZ 69.817 -162.917 6.0 19730101 19991231 701210 99999 POINT LAY US AK PPIZ 69.817 -162.917 6.0 20000101 20051231 701213 26638 POINT LAY LIZ 2 US AK PIZ 69.733 -163.017 6.1 19920318 19960630 701213 99999 POINT LAY(DEW/AWOS) US AK 69.733 -163.017 6.0 19901121 19910803 701330 26616 RALPH WIEN MEMORIAL AIRPORT US AK PAOT 66.867 -162.63299999999998 9.1 19730101 20200625 701331 99999 DEERING US AK 66.067 -162.75 5.0 19840402 19850612 701333 26643 DEERING AIRPORT US AK PADE 66.069 -162.764 6.4 19990102 20200625 701333 99999 DEERING US AK PADE 66.083 -162.75 6.0 19980111 19981229 701334 99999 KOTZEBUE US AK 66.883 -162.6 3.0 19960801 19961009 701335 26648 NOATAK AIRPORT US AK PAWN 67.566 -162.975 26.8 20060101 20200625 701335 99999 NOATAK US AK PAWN 67.55 -162.967 27.0 19950708 20051231 701337 00103 WALES AIRPORT US AK PAIW 65.617 -168.1 7.0 20090122 20200625 701338 99999 CHEVAK AIRPORT US AK PAVA 61.533 -165.583 22.9 20090210 20200624 701486 26642 KIVALINA AIRPORT US AK PAVL 67.732 -164.548 3.1 20060101 20200625 701486 99999 KIVALINA US AK PAVL 67.733 -164.55 4.0 19990114 20051231 701620 26508 UMIAT US AK PAUM 69.367 -152.13299999999998 85.0 19460101 20130411 701620 99999 UMIAT US PAUM 69.367 -152.13299999999998 85.0 20000101 20041126 701625 26542 ANAKTUVUK PASS AIRPORT US AK PAKP 68.167 -151.767 640.1 20060101 20200624 701625 99999 ANAKTUVUK PASS US AK PAKP 68.133 -151.733 641.0 19800911 20051231 701718 26551 AMBLER AIRPORT US AK PAFM 67.1 -157.85 88.1 20060101 20200625 701718 99999 AMBLER US AK PAFM 67.1 -157.85 102.0 19880105 20051231 701719 00490 SHUNGNAK AIRPORT US AK PAGH 66.888 -157.162 62.8 20091210 20200625 701719 99999 SHUNGNAK US AK PAGH 66.888 -157.162 60.0 19850208 19891011 701730 26535 INDIAN MOUNTAIN LRRS ARPT US AK PAIM 66.0 -153.7 388.9 20050101 20200625 701730 99999 INDIAN MOUNTAIN AFS US AK PAIM 66.0 -153.7 389.0 19510801 20041231 701740 26533 BETTLES AIRPORT US AK PABT 66.917 -151.515 193.2 19450101 20200625 701745 26480 CHANDALAR LAKE AIRPORT US AK PALR 67.51100000000001 -148.493 577.6 20060101 20141009 701745 99999 CHANDALAR LAKE US AK PALR 67.5 -148.483 585.0 19730624 20051231 701746 99999 DIETRICK (PRIVATE) US AK 67.683 -149.733 447.0 19730825 19750729 701747 26467 MERRILL PASS WEST US AK PAER 61.25 -153.82 358.0 19730825 19750729 701747 26554 MERRILL PASS WEST US AK PAER 61.266999999999996 -153.8 356.6 20050101 20140615 701748 99999 PROSPECT CREEK AIRPORT US AK PAPR 66.817 -150.65 335.0 19730825 20200530 701749 99999 WISEMAN ARPT US AK 67.4 -150.11700000000002 360.0 19940819 20020803 701780 26529 RALPH M CALHOUN MEML ARPT US AK PATA 65.175 -152.107 67.7 19430601 20200625 701790 99999 FIVE MILE CAMP US AK 65.933 -149.833 155.0 19771103 19850531 701791 99999 MANLEY HOT SPRINGS US AK 65.0 -150.65 85.0 19431204 19891013 701793 26524 MANLEY HOT SPRINGS US AK PAML 64.999 -150.638 82.9 20060101 20140501 701793 99999 MANLEY HOT SPRINGS US AK PAML 65.0 -150.65 81.0 19900724 20051231 701795 99999 FIVE MILE CAMP US AK 65.933 -149.833 155.0 19730825 19960625 701940 26413 FORT YUKON AIRPORT US AK PFYU 66.567 -145.267 135.6 19730101 20200625 701940 99999 FORT YUKON US AK PFYU 66.567 -145.267 135.0 20000102 20031231 701945 46405 ARCTIC VILLAGE AIRPORT US AK PARC 68.115 -145.579 637.6 20060101 20200625 701945 99999 ARCTIC VILLAGE US AK PARC 68.117 -145.567 638.0 19950708 20051231 701970 99999 CENTRAL US AK 65.483 -144.667 252.0 20021018 20071231 701975 26422 EAGLE AIRPORT US AK PAEG 64.777 -141.148 276.8 20060101 20200625 701975 99999 EAGLE AIRPORT US AK PAEG 64.783 -141.15 268.0 19980408 20051231 701995 26628 CAPE DARBY REMOT COM OUTLT US AK PAGL 64.55 -163.007 7.6 20050101 20200625 701995 99999 GOLOVIN AIRPORT US AK PAGL 64.54 -163.04 8.0 19990114 20041231 702000 26617 NOME AIRPORT US AK PAOM 64.51100000000001 -165.44 4.0 19400101 20200625 702004 99999 WHITE MOUNTAIN US AK PAWM 64.689 -163.41299999999998 81.4 20111201 20200624 702005 26647 ST MARY'S AIRPORT US AK PASM 62.062 -163.3 95.1 20060101 20200625 702005 99999 ST MARYS US AK PASM 62.05 -163.3 95.0 19790408 20051231 702006 26502 KALTAG AIRPORT US AK PAKV 64.327 -158.74200000000002 55.2 20060101 20200625 702006 99999 KALTAG AIRPORT US AK PAKV 64.316 -158.73 54.0 19990114 20051231 702031 26620 MOSES POINT US AK 64.7 -162.05 6.1 19430608 19790128 702035 26704 SAVOONGA AIRPORT US AK PASA 63.687 -170.493 16.8 20060108 20200625 702035 99999 SAVOONGA US AK PASA 63.683 -170.483 16.0 19870629 20051201 702040 26703 GAMBELL AIRPORT US AK PAGM 63.766999999999996 -171.733 8.5 19870603 20200625 702040 99999 GAMBELL (AWOS) US AK PAGM 63.766999999999996 -171.733 8.0 20000101 20031231 702060 26632 NORTHEAST CAPE US AK KOHC 63.317 -168.967 9.1 19520729 19690819 702070 26627 UNALAKLEET AIRPORT US AK PAUN 63.883 -160.8 5.5 19430601 20200625 702070 99999 UNALAKLEET US AK PAUN 63.883 -160.8 6.0 20000101 20031231 702075 26644 ANVIK AIRPORT US AK PANV 62.65 -160.183 26.8 20060101 20200621 702075 99999 ANVIK US AK PANV 62.65 -160.183 94.0 19950210 20051231 702084 26650 EMMONAK US AK PAEM 62.785 -164.49099999999999 4.3 20060101 20200322 702084 99999 EMMONAK US AK PAEM 62.783 -164.483 4.0 19440412 20051231 702091 99999 MOUNTAIN VILLAGE US AK 62.083 -163.717 50.0 19441018 19450927 702093 99999 ANDREAFSKY/ST MARYS CA SMA 62.067 -163.3 95.0 19850208 19891011 702120 26633 CAPE ROMANZOFF AFS US AK PACZ 61.783 -166.033 146.0 19530401 19991231 702120 26646 CAPE ROMANZOF LRRS ARPT US AK PACZ 61.783 -166.033 146.0 20060101 20200625 702120 99999 CAPE ROMANZOFF AFS US AK PACZ 61.783 -166.033 146.0 20000101 20051231 702180 99999 NUNIVAK US 60.0 -166.0 -999.9 19440101 19730227 702185 26622 MEKORYUK AIRPORT US AK PAMY 60.383 -166.2 13.7 20060105 20200625 702185 99999 MEKORYUK US AK PAMY 60.367 -166.267 15.0 19831104 20051129 702186 26651 HOOPER BAY AIRPORT US AK PAHP 61.523999999999994 -166.14700000000002 5.5 20060101 20200625 702186 99999 HOOPER BAY US AK PAHP 61.516999999999996 -166.13299999999998 5.0 19841105 20051231 702190 26615 BETHEL AIRPORT US AK PABE 60.785 -161.829 31.1 19450101 20200625 702195 99999 NAPAKIAK US AK PANA 60.683 -161.983 5.2 19940830 20200624 702220 26501 GALENA AIRPORT US AK PAGA 64.737 -156.934 46.6 20060101 20200625 702220 99999 GALENA A. US AK PAGA 64.733 -156.933 49.0 19420917 20051231 702223 26602 KOYUK AIRPORT US AK PAKK 64.935 -161.155 33.5 20060101 20200625 702223 99999 KOYUK AIRPORT US AK PAKK 64.933 -161.167 37.0 19760503 20051231 702224 99999 EAGLE AIRPORT US AK 64.783 -141.15 268.0 19810619 19950512 702225 99999 HUSLIA US AK PAHS 65.7 -156.38299999999998 55.0 19940103 20050817 702310 26510 MCGRATH AIRPORT US AK PAMC 62.957 -155.61 101.5 19730101 20200625 702312 26519 FAREWELL LAKE US AK PAFK 62.54 -153.61700000000002 321.0 19970402 19991231 702312 26555 FAREWELL LAKE SEAPLANE BASE US AK PAFK 62.543 -153.623 3207.7 20060101 20140419 702312 99999 FAREWELL LAKE US AK PAFK 62.54 -153.61700000000002 321.0 20000101 20051231 702315 26536 TATALINA LRRS AIRPORT US AK PATL 62.894 -155.976 293.8 20060101 20200624 702315 99999 TATALINA LRRS US AK PATL 62.883 -155.967 294.0 19520401 20051231 702320 26516 ANIAK AIRPORT US AK PANI 61.582 -159.543 25.9 19730101 20200625 702320 99999 ANIAK US AK PANI 61.583 -159.533 26.0 20000101 20031231 702325 26443 WASILLA AIRPORT US AK PAWS 61.571999999999996 -149.541 107.9 20040702 20200625 702325 99999 WASILLA US AK PAWS 61.571999999999996 -149.54 108.0 19980226 20041231 702350 26534 SPARREVOHN LRRS AIRPORT US AK PASV 61.1 -155.583 484.0 20060101 20200625 702350 99999 SPARREVOHN AFS US AK PASV 61.1 -155.567 484.0 19510711 20051231 702460 26512 MINCHUMINA US AK PAMH 63.886 -152.30200000000002 206.7 19730101 20200625 702460 99999 MINCHUMINA US AK PAMH 63.9 -152.267 214.0 20000101 20041230 702480 99999 FAREWELL/INTERMEDIATE FIELD US 62.516999999999996 -153.88299999999998 458.0 19730101 19840605 702483 99999 FAREWELL LAKE US AK PAFW 62.533 -153.61700000000002 323.0 19850130 19960425 702490 26526 PUNTILLA LAKE US AK PAPT 62.091 -152.735 566.3 20060101 20200625 702490 99999 PUNTILLA US AK PAPT 62.1 -152.75 560.0 19730101 20051231 702495 26547 HAYES RIVER AIRPORT US AK PAHZ 61.983000000000004 -152.083 305.1 20060101 20110127 702495 99999 HAYES RIVER AIRPORT US AK PAHZ 61.98 -152.08 305.0 19730101 20051231 702510 26528 TALKEETNA AIRPORT US AK PATK 62.32 -150.095 106.7 19730101 20200625 702520 99999 TALKEETNA AK US AK 62.3 -150.417 151.0 20050213 20050213 702550 26514 SKWENTNA AIRPORT US AK PASW 61.977 -151.217 45.7 19730101 20161001 702550 99999 SKWENTNA US AK PASW 61.967 -151.183 45.0 20000101 20041231 702590 26523 KENAI MUNICIPAL AIRPORT US AK PAEN 60.58 -151.239 27.7 19730101 20200625 702595 26559 SOLDOTNA AIRPORT US AK PASX 60.476000000000006 -151.034 34.4 20060101 20200625 702595 99999 SOLDOTNA US AK PASX 60.467 -151.033 34.0 19830502 20051231 702600 26435 NENANA MUNICIPAL AIRPORT US AK PANN 64.55 -149.072 109.7 19430706 20200625 702600 99999 NENANA/MUN. US AK PANN 64.55 -149.083 110.0 20000101 20031231 702605 99999 CLEAR US AK PACL 64.301 -149.12 168.2 19471010 19471130 702606 96401 CHULITNA US AK PAEC 62.826 -149.907 426.7 20060101 20200624 702606 99999 CHULITNA AIRPORT US AK PAEC 62.883 -149.833 381.0 19781130 20051231 702607 25378 HOONAH SEAPLANE BASE US AK PAOH 58.096000000000004 -135.409 0.0 20060101 20200625 702607 99999 HOONAH SEAPLANE BASE US AK PAOH 58.12 -135.417 6.0 19781124 20051231 702610 26411 FAIRBANKS INTERNATIONAL US AK PAFA 64.804 -147.876 131.7 19460101 20200625 702615 26498 WAINWRIGHT AAF AIRPORT US AK PAFB 64.83800000000001 -147.614 138.4 20060103 20200625 702615 99999 WAINWRIGHT AAF US AK PAFB 64.833 -147.61700000000002 140.0 19410206 20051230 702616 99999 OLD MAN US AK 66.45 -150.583 389.0 19750108 19761123 702625 00104 NIKOLAI AIRPORT US AK PAFS 63.016999999999996 -154.36700000000002 126.2 20061024 20200625 702625 99999 NIKOLAI US AK PAFS 63.02 -154.36 126.0 20080101 20081231 702626 99999 PILOT POINT US AK PAPN 57.58 -157.58 17.0 20061024 20200409 702627 26561 RUBY AIRPORT US AK PARY 64.727 -155.47 199.0 20061001 20200603 702628 00105 MARSHALL DON HUNTER SR AIRPORT US AK PADM 61.867 -162.033 31.1 20061024 20200625 702628 99999 MARSHALL DON HUNTER SR US AK PADM 61.864 -162.026 31.4 20080101 20180103 702629 99999 CAPE DECISION CG HELIPORT US AK 56.0 -134.13299999999998 10.0 20080915 20110608 702640 26414 SUMMIT US AK PAST 63.331 -149.127 734.3 19730101 19840107 702645 46403 MCKINLEY NATIONAL PARK AIRPORT US AK PAIN 63.733000000000004 -148.917 524.3 20060101 20200625 702645 99999 MCKINLEY NATIONAL PK US AK PAIN 63.733000000000004 -148.917 524.0 19751202 20051231 702646 99999 MT MCKINLEY NATL PK US AK 63.65 -148.8 625.0 19760116 19760427 702647 26499 HEALY RIVER AIRPORT US AK PAHV 63.86600000000001 -148.969 3945.3 20060101 20120608 702647 99999 HEALY RIVER AIRPORT US AK PAHV 63.87 -148.97 394.0 19761221 20051231 702648 46406 CANTWELL AIRPORT US AK PATW 63.391000000000005 -148.95600000000002 667.5 20060102 20110827 702648 99999 CANTWELL CANTWELL US AK PATW 63.4 -148.95 668.0 19831103 20051205 702650 26407 EIELSON AFB AIRPORT US AK PAEI 64.683 -147.083 166.7 20060102 20200625 702650 99999 FAIRBANKS/EIELSON A US AK PAEI 64.65 -147.067 167.0 19441111 20051231 702653 99999 EIELSON AFB & US AK 64.65 -147.067 167.0 19750814 19750814 702660 99999 FORT GREELY AK US AK 63.967 -145.7 398.0 19440626 19900628 702670 26415 ALLEN ARMY AIRFIELD US AK PABI 63.994 -145.721 389.2 19451015 20200625 702673 99999 BIG DELTA ARCTIC WX US AK 64.0 -145.717 389.0 19800303 19841204 702674 99999 CIRCLE CITY AIRPORT US AK 65.833 -144.067 182.0 19790507 20091019 702675 26484 PAXSON AIRPORT US AK PAXK 63.032 -145.498 823.0 20060101 20101003 702675 99999 PAXSON US AK PAXK 63.033 -145.5 809.0 19740419 20051231 702677 99999 ISABELL PASS CAMP US AK Z32 63.083 -145.5 978.0 19750929 19761202 702680 99999 GLENNALLEN AK US AK 62.1 -145.967 573.0 19750401 19900504 702685 27518 ATQASUK EDWARD BURNELL SR. MEMORIAL AIRPORT US AK PATQ 70.467 -157.436 29.3 20060501 20200625 702686 00106 KIPNUK AIRPORT US AK PAKI 60.9 -161.233 9.1 20060501 20200625 702686 99999 AKIAK US AK PAKI 60.903 -161.231 9.1 20080101 20081231 702695 96402 JONESVILLE MINE AIRPORT US AK PAJV 61.714 -148.909 167.6 20060101 20111102 702695 99999 SUTTON US AK PAJV 61.717 -148.88299999999998 265.0 19920416 20051231 702696 99999 LAZY MTN/WOLVERINE US AK 61.633 -149.033 236.0 19780315 20040214 702697 00107 NEW STUYAHOK AIRPORT US AK PANW 59.45 -157.333 92.1 20061010 20200622 702697 99999 NEW STUYAHOK US AK PANW 59.45 -157.33 92.0 20080101 20180322 702700 00489 BRYANT ARMY AIRFIELD HELIPORT US AK PAFR 61.266000000000005 -149.653 118.3 20130415 20200625 702700 99999 FT. RICHARDSON/BRYANT AHP AK US PAFR 61.266999999999996 -149.65 115.0 19731201 20180520 702710 26425 GULKANA AIRPORT US AK PAGK 62.159 -145.459 476.1 19450101 20200625 702711 26439 SHEEP MOUNTAIN AIRPORT US AK PASP 61.812 -147.507 853.4 20050101 20111101 702711 99999 SHEEP MOUNTAIN US AK PASP 61.817 -147.55 799.0 19970203 20041231 702715 46407 SKELTON AIRPORT US AK PAZK 61.949 -147.16899999999998 1002.5 20060101 20200625 702715 99999 EUREKA SKELTON AIR US AK PAZK 61.933 -147.167 1002.0 19950708 20051231 702716 99999 TAHNETA PASS US AK 5GN 61.817 -147.55 900.0 19730102 19960104 702717 99999 SELAWIK US AK PALK 66.6 -159.986 7.6 19730101 20160930 702719 99999 SNOWSHOE LAKE US AK 62.033 -142.667 735.0 19750917 19761207 702720 26401 ELMENDORF AFB AIRPORT US AK PAED 61.253 -149.79399999999998 64.6 20060101 20200625 702720 99999 ANCHORAGE/ELMENDORF US AK PAED 61.25 -149.8 59.0 19410310 20051231 702725 26491 LAKE HOOD SEAPLANE BASE US AK PALH 61.178000000000004 -149.966 27.4 20020101 20200625 702725 99999 ANCHORAGE LAKE HOOD US AK PALH 61.183 -149.967 22.0 19730104 20011231 702730 26451 TED STEVENS ANCHORAGE INTL US AK PANC 61.169 -150.028 36.6 19730101 20200625 702735 26409 MERRILL FIELD AIRPORT US AK PAMR 61.217 -149.855 42.1 19450101 20200625 702735 99999 MERRILL FLD US AK PAMR 61.2 -149.833 42.0 20000101 20031231 702736 99999 FT RICHARDSON/BRYN& US AK 61.266999999999996 -149.65 115.0 19760625 19830721 702740 25331 PALMER MUNICIPAL AIRPORT US AK PAAQ 61.596000000000004 -149.092 70.1 19990101 20200625 702740 99999 PALMER US AK PAAQ 61.595 -149.089 74.0 19730101 19981231 702745 26560 WILLOW AIRPORT US AK PAUO 61.748000000000005 -150.054 62.5 20060101 20111101 702745 99999 WILLOW AIRPORT US AK PAUO 61.754 -150.05200000000002 67.0 19910207 20051231 702746 26497 BIRCHWOOD AIRPORT US AK PABV 61.416000000000004 -149.507 29.3 20060101 20200625 702746 99999 BIRCHWOOD US AK PABV 61.417 -149.5 29.0 19940103 20051231 702750 26442 NATIONAL WEATHER SERVICE OFFICE US AK PAVW 61.13 -146.352 29.0 19730101 20140401 702754 99999 VALDEZ US AK 61.133 -146.25 37.0 19960815 19961009 702755 46404 MCCARTHY AIRPORT US AK PAMX 61.437 -142.904 466.7 20060101 20140901 702755 99999 MCCARTHY US AK PAMX 61.433 -142.933 455.0 19740421 20051231 702756 26479 VALDEZ PIONEER FIELD AIRPORT US AK PAVD 61.132 -146.244 18.3 20060101 20200625 702756 99999 VALDEZ PIONEER FIEL US AK PAVD 61.133 -146.25 36.0 19750501 20051231 702757 26444 WHITTIER AIRPORT US AK PAWR 60.783 -148.733 11.9 20060101 20120520 702757 99999 WHITTIER US AK PAWR 60.766999999999996 -148.683 9.0 19750501 20051231 702758 27517 ALPINE AIRSTRIP US AK PALP 70.344 -150.945 5.5 20060101 20200625 702758 99999 DEADHORSE ALPINE AIR US AK PALP 70.333 -150.933 5.0 20040608 20051231 702759 99999 KOROR PS PTKR 7.332999999999999 134.483 30.0 20040608 20081231 702770 26438 SEWARD AIRPORT US AK PAWD 60.128 -149.417 6.7 20060101 20200625 702770 99999 SEWARD US AK PAWD 60.117 -149.45 18.0 19450101 20051231 702790 26417 CAPE HINCHINBROOK US AK 60.233000000000004 -146.65 56.0 19740101 19800622 702795 99999 HINCHINBROOK US AK 60.4 -146.083 110.0 19730101 19740529 702910 26412 NORTHWAY AIRPORT US AK PAOR 62.961999999999996 -141.988 522.1 19450101 20200625 702913 46402 DEVILS MOUNTAIN LODGE AIRPORT US AK PABN 62.402 -142.995 877.8 20060101 20141001 702913 99999 NABESNA/DEVIL MTN US AK PABN 62.4 -143.0 878.0 19920416 20051231 702915 26486 DUFFY'S TAVERN AIRPORT US AK PADT 62.708999999999996 -143.981 668.1 20060101 20110701 702915 99999 SLANA AIRPORT US AK PADT 62.7 -143.983 730.0 19740904 20051231 702923 26440 TANACROSS US AK TSG 63.383 -143.333 472.0 19440522 19500901 702924 99999 TOK US AK PATJ 63.317 -142.717 509.0 19771006 19850729 702960 26410 M.K.(MUDHOLE) SMITH ARPT US AK PACV 60.489 -145.451 9.5 19420611 20200625 702965 99999 JOHNSTONE POINT US AK 60.483000000000004 -146.6 14.0 19750401 19820729 702980 26445 YAKATAGA US AK PACY 60.083 -142.5 11.0 19730315 19990706 702980 99999 YAKATAGA US PACY 60.083 -142.5 11.0 20010706 20020605 702986 26557 BIG RIVER LAKE US AK PALV 60.81399999999999 -152.297 18.3 20060101 20190808 702986 99999 BIG RIVER LAKE US AK PALV 60.817 -152.3 12.0 19780823 20051231 702987 99999 NIGHTMUTE US AK 60.467 -164.7 4.0 19840911 19850509 703050 25623 CAPE HEWENHAM LRRS AIRPORT US AK PAEH 58.65 -162.067 164.9 20060101 20200625 703050 99999 CAPE NEWENHAM AFS US AK PAEH 58.65 -162.067 161.0 19530726 20051231 703051 26521 HOLY CROSS AIRPORT US AK PAHC 62.183 -159.767 6.1 20060101 20200625 703051 99999 HOLY CROSS US AK PAHC 62.183 -159.783 21.0 20050929 20051231 703052 26652 KALSKAG AIRPORT US AK PALG 61.536 -160.341 16.8 20060117 20200322 703052 99999 KALSKAG US AK PALG 61.533 -160.333 17.0 20050929 20051130 703053 26654 RUSSIAN MISSION AIRPORT US AK PARS 61.775 -161.319 15.5 20060101 20200625 703053 99999 RUSSIAN MISSION US AK PARS 61.766999999999996 -161.317 15.0 19760512 20051231 703054 00108 SCAMMON BAY AIRPORT US AK PACM 61.85 -165.567 4.3 20050929 20200625 703054 99999 SCAMMON BAY US AK PACM 61.845 -165.571 4.3 20080101 20081231 703055 00109 MANOKOTAK AIRPORT US AK PAMB 58.983000000000004 -159.05 15.9 20050929 20200625 703055 99999 MANOKOTAK US AK PAMB 58.99 -159.05 16.0 20080101 20180322 703056 26635 MOUNTAIN VILLAGE AIRPORT US AK PAMO 62.095 -163.68200000000002 102.7 20060101 20200625 703056 99999 MOUNTAIN VILLAGE US AK PAMO 62.1 -163.683 15.0 20050929 20051231 703057 26653 TOKSOOK BAY AIRPORT US AK PAOO 60.541000000000004 -165.08700000000002 18.0 20060101 20200625 703057 99999 TOOKSOK BAY US AK PAOO 60.533 -165.083 21.0 20050929 20051231 703058 00110 NELSON LAGOON AIRPORT US AK PAOU 56.016999999999996 -161.167 4.3 20050930 20200625 703058 99999 NELSON LAGOON US AK PAOU 56.01 -161.16 4.0 20080101 20180514 703059 99999 KING COVE US AK PAVC 55.17 -162.27 47.0 20050930 20200624 703061 25521 IGIUGIG AIRPORT US AK PAIG 59.324 -155.90200000000002 27.4 20060101 20200625 703061 99999 IGIUGIG US AK PAIG 59.3 -155.9 27.0 20050929 20051231 703080 25713 ST PAUL ISLAND AIRPORT US AK PASN 57.155 -170.222 10.7 19431105 20200625 703160 25624 COLD BAY AIRPORT US AK PACD 55.221000000000004 -162.732 23.8 19420304 20200625 703165 25617 SAND POINT AIRPORT US AK PASD 55.318999999999996 -160.52100000000002 6.4 20050101 20200625 703165 99999 SAND POINT US AK 55.333 -160.5 6.0 19730107 20041231 703210 25513 DILLINGHAM AIRPORT US AK PADL 59.05 -158.517 26.2 20060101 20200625 703210 99999 DILLINGHAM MUNI US AK PADL 59.05 -158.517 29.0 19730101 20051231 703260 25503 KING SALMON AIRPORT US AK PAKN 58.683 -156.656 20.4 19420110 20200625 703263 99999 KING SALMON US AK 58.683 -156.683 17.0 19801002 19960630 703330 25508 PORT HEIDEN AIRPORT US AK PAPH 56.958999999999996 -158.632 26.8 20060101 20200625 703330 99999 PORT HEIDEN US AK PAPH 56.95 -158.61700000000002 29.0 19420803 20051231 703333 25518 CHIGNIK AIRPORT US AK PAJC 56.31100000000001 -158.373 5.5 20060101 20200625 703333 99999 CHIGNIK AIRPORT US AK PAJC 56.31 -158.36700000000002 6.0 19980226 20051231 703334 25519 EGEGIK AIRPORT US AK PAII 58.185 -157.386 28.0 20060101 20200625 703334 99999 EGEGIK(AWOS) US AK PAII 58.417 -157.36700000000002 28.0 19930520 20051231 703335 99999 SOUTH NAKNEK ARPT US AK PFWS 58.7 -157.0 49.4 19940818 20200624 703400 25506 ILIAMNA AIRPORT US AK PAIL 59.748999999999995 -154.909 43.6 19730101 20200625 703406 26546 PORT ALSWORTH AIRPORT US AK PALJ 60.20399999999999 -154.316 79.3 20050101 20200625 703406 99999 PORT ALSWORTH AIR US AK PALJ 60.2 -154.317 85.0 19730101 20041231 703407 26553 SLEETMUTE AIRPORT US AK PASL 61.717 -157.15 54.3 20060101 20200625 703407 99999 SLEETMUTE US AK PASL 61.717 -157.15 54.0 19940314 20051231 703410 25507 HOMER AIRPORT US AK PAHO 59.641999999999996 -151.491 19.5 19730101 20200625 703430 25402 MIDDLETON ISLAND METEOROLOGY RADAR SITE US AK PAMD 59.433 -146.333 30.5 19450101 20200625 703430 25403 MIDDLETON ISLAND US AK PAMD 59.433 -146.333 14.0 19771101 19991231 703430 99999 MIDDLETON ISLAND US AK PAMD 59.433 -146.333 14.0 20000101 20041231 703431 25402 MIDDLETON ISLAND AUT US AK PAMD 59.433 -146.333 14.0 19730105 19771121 703500 25501 KODIAK AIRPORT US AK PADQ 57.751000000000005 -152.486 24.4 19450101 20200625 703570 99999 SITKINAK(USCG) US AK 56.55 -154.13299999999998 17.0 19730104 19790105 703600 99999 CAPE SAINT ELIAS US AK 59.8 -144.6 18.0 19730101 19810424 703604 99999 HOMER US AK 59.633 -151.467 26.0 19790316 20081231 703605 25604 PLATINUM AIRPORT US AK PAPM 59.011 -161.82 4.6 20060323 20200625 703605 99999 PLATINUM US AK PAPM 59.0 -161.817 5.0 19421001 20050927 703606 25629 TOGIAK AIRPORT US AK PATG 59.067 -160.36700000000002 6.1 20060101 20200625 703606 99999 TOGIAK US AK PATG 59.05 -160.38299999999998 6.0 19891201 20051231 703610 25339 YAKUTAT AIRPORT US AK PAYA 59.512 -139.671 10.1 19410501 20200625 703615 99999 OCEAN CAPE (CGS) US AK 59.516999999999996 -139.767 3.0 19770610 19770610 703620 25335 SKAGWAY AIRPORT US AK PAGY 59.456 -135.32399999999998 6.1 19431001 20200625 703621 25516 SELDOVIA AIRPORT US AK PASO 59.443000000000005 -151.702 8.8 20060101 20200625 703621 99999 SELDOVIA ARPT US AK PASO 59.45 -151.7 9.0 19980316 20051231 703625 99999 HAINES BOAT HARBOR US AK 59.233000000000004 -135.433 10.0 19730719 19960429 703626 25323 HAINES US AK PAHN 59.243 -135.509 4.6 19960613 20200625 703627 99999 PEDRO BAY US AK 59.783 -154.13299999999998 14.0 20040702 20040928 703640 99999 ELDRED ROCK US AK 58.967 -135.217 10.0 19730101 20010718 703644 27515 NUIQSUT AIRPORT US AK PAQT 70.212 -151.002 17.4 20060101 20200625 703644 99999 NUIQSUT US AK PAQT 70.2 -151.0 12.0 19990114 20051231 703650 25316 CAPE SPENCER US AK KCSP 58.2 -136.63299999999998 27.1 19730101 19891011 703655 26552 HUSLIA AIRPORT US AK PAHL 65.69800000000001 -156.351 54.9 20060101 20200618 703655 99999 HUSLIA US AK PAHL 65.7 -156.63299999999998 65.0 20041228 20051231 703656 99999 QUINHAGAK AIRPORT US AK PAQH 59.75 -161.833 13.0 20140211 20200624 703670 25322 GUSTAVUS US AK PAGS 58.411 -135.709 12.2 19760801 20200625 703670 99999 GUSTAVUS US AK PAGS 58.425 -135.707 10.0 20000101 20041231 703675 99999 SISTERS ISLAND US AK SSR 58.167 -135.25 11.0 19730101 19840701 703710 25333 SITKA ROCKY GUTIERREZ ARPT US AK PASI 57.048 -135.365 4.3 19730101 20200625 703715 99999 BIORKA ISLAND SAWRS US AK 56.85 -135.533 15.0 19730101 19780829 703724 99999 WILLOW WEST US AK 61.75 -150.05 63.4 19771203 19910124 703810 25309 JUNEAU INTERNATIONAL US AK PAJN 58.357 -134.564 4.9 19730101 20200625 703815 99999 PT. 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GEORGE AIRPORT US AK PAPB 56.6 -169.565 38.1 20060101 20200625 703835 99999 ST GEORGE US AK PAPB 56.567 -169.65 38.0 19980226 20051231 703850 99999 FIVE FINGER LIGHT US 57.266999999999996 -133.61700000000002 11.0 19730101 20020524 703855 25369 KAKE AIRPORT US AK PAFE 56.967 -133.9 52.4 20060101 20200625 703855 99999 KAKE US AK PAFE 56.95 -133.9 52.0 19730101 20051231 703860 25329 JAMES A JOHNSON AIRPORT US AK PAPG 56.806000000000004 -132.937 32.6 19730101 20200625 703860 99999 PETERSBURG US AK PAPG 56.817 -132.967 0.0 20000101 20041231 703863 99999 FREDERICKS POINT US AK 56.8 -132.817 3.0 19850618 19850618 703865 99999 LEVEL ISLAND US AK 56.467 -133.1 30.0 19730901 19780329 703870 25338 WRANGELL AIRPORT US AK PAWG 56.473 -132.387 17.1 20060101 20200625 703870 99999 WRANGELL US AK PAWG 56.483999999999995 -132.37 13.0 19730101 20051231 703880 25315 CAPE DECISION US AK KCDE 56.0 -134.13299999999998 14.9 19730101 19891011 703880 99999 CAPE DECISION(AMOS) US AK CDE 56.0 -134.13299999999998 14.9 20001201 20041123 703884 25376 HYDABURG SEAPLANE BASE US AK PAHY 55.206 -132.828 0.0 20060101 20200619 703884 99999 HYDABURG SEAPLANE BA US AK PAHY 55.2 -132.833 0.0 19781205 20051231 703885 99999 CAPE POLE SEAPLANE US AK Z27 55.967 -133.8 1.0 19740318 19780801 703886 25348 PORT ALEXANDER SPB US AK PAAP 56.247 -134.645 3.7 20060101 20151117 703886 99999 PORT ALEXANDER US AK PAAP 56.247 -134.65 0.0 19790507 20051231 703888 00111 SHAKTOOLIK AIRPORT US AK PFSH 64.37 -161.224 7.0 20101101 20200625 703888 99999 SHAKTOOLIK AIRPORT US AK PFSH 64.37100000000001 -161.224 7.0 20180107 20180322 703891 99999 ELIM AIRPORT US AK PFEL 64.617 -162.267 49.0 20130731 20200624 703894 25367 KLAWOCK AIRPORT US AK PAKW 55.58 -133.075 3.7 20000101 20200625 703894 99999 KLAWOCK US AK PAKW 55.567 -133.067 24.0 19801015 19991231 703920 25317 CRAIG SEAPLANE US AK CGA 55.483000000000004 -133.15 0.0 19730102 19740129 703920 99999 CRAIG SEAPLANE US AK 55.483000000000004 -133.15 0.0 20020425 20020425 703921 99999 US AK 19740301 19740331 703925 00112 KOLIGANEK AIRPORT US AK PAJZ 59.733000000000004 -157.267 82.3 20070521 20200625 703925 99999 KOLIGANEK US AK PAJZ 59.73 -157.26 82.0 20080101 20180322 703926 99999 AKHIOK US AK PAKH 56.933 -154.183 13.0 20070521 20200624 703930 99999 20010921 20040521 703950 25325 KETCHIKAN INTL AIRPORT US AK PAKT 55.35 -131.65 24.4 19730101 20200625 703980 25308 ANNETTE ISLAND AIRPORT US AK PANT 55.038999999999994 -131.579 33.2 19410714 20191001 703985 25377 METLAKATLA SEAPLANE BASE US AK PAMM 55.131 -131.578 0.0 20060101 20200625 703985 99999 METLAKATLA SEAPLANE US AK PAMM 55.133 -131.583 0.0 19980226 20051231 704090 45709 ATTU US AK 52.833 173.183 21.0 19430607 19871020 704140 45715 EARECKSON AIR STATION AIRPORT US AK PASY 52.717 174.1 37.2 20050101 20200625 704140 99999 EARECKSON AS US AK PASY 52.717 174.1 31.0 19430621 20041231 704540 25704 ADAK NAS US AK PADK 51.883 -176.65 5.2 19421030 20200625 704540 99999 ADAK (NAS) US AK PADK 51.883 -176.65 5.0 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710814 99999 IGLOOLIK AIRPORT CA CYGT 69.367 -81.817 51.0 19791219 20200624 710820 99999 ALERT UA CA CWLT 82.5 -62.333 31.0 19500601 20041231 710823 99999 ALERT CA CYLT 82.51799999999999 -62.281000000000006 30.5 19870305 20200624 710824 99999 ALERT (READAC) CA ZLR 82.5 -62.35 66.0 19880513 19921210 710830 99999 RANKIN INLET CA CYRT 62.81100000000001 -92.116 28.7 19810206 20200624 710840 99999 HAT ISLAND CA CWIL 68.32 -100.08 36.0 19981224 20200624 710850 99999 PINCHER CREEK CA CZPC 49.516999999999996 -114.0 1190.0 19930701 20200624 710851 99999 ELLICE RIVER AUTOMATED REPORTING CA CWEV 67.7 -104.47 42.0 20050927 20050927 710860 99999 FT. 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19930330 718784 99999 LACOMBE CDA CA 52.45 -113.75 874.0 19921216 19930330 718790 99999 EDMONTON CITY CENTRE CA CYXD 53.573 -113.521 670.6 19500101 20150401 718793 99999 SPARWOOD (AUTO8) & CA 49.75 -114.9 1137.0 19921216 19950414 718794 99999 SPARWOOD / ELK VALLEY CA CWSW 49.75 -114.88 1138.0 19800423 20200624 718795 99999 CROWSNEST CA 49.633 -114.48299999999999 1303.0 19920807 19930330 718800 99999 CRANBROOK A CA CYXC 49.617 -115.78299999999999 939.4 19770701 20200624 718801 99999 WASA CA 49.733000000000004 -115.78299999999999 920.0 19550702 19630731 718810 99999 EDSON CA CYET 53.57899999999999 -116.465 926.9 19600202 20200624 718813 99999 EDSON (READAC) CA ZET 53.583 -116.48299999999999 925.0 19910822 19921210 718814 99999 COAL VALLEY CA 53.083 -116.81700000000001 1426.0 19800611 19830613 718820 99999 REVELSTOKE A CA 50.967 -118.18299999999999 445.0 19550702 20200624 718823 99999 REVELSTOKE (AUTOB) CA 50.967 -118.2 443.0 19890616 19921210 718830 99999 BLUE RIVER CA CYCP 52.117 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WSBRN FD AP US IL KC09 41.425 -88.419 178.0 20060101 20200625 720137 99999 MORRIS MUNI J R WAS US IL KC09 41.433 -88.417 178.0 20040224 20051231 720141 04868 MARSHALL CO US IL KC75 41.019 -89.38600000000001 173.1 20060101 20130430 720141 99999 MARSHALL CO US IL 41.019 -89.38600000000001 173.1 20040224 20051231 720150 99999 COMANCHE COMANCHE COUNTY-CITY A US 31.92 -98.6 423.0 20040803 20040930 720151 03049 ALPINE-CASPARIS MUNI ARPT US TX KE38 30.383000000000003 -103.68299999999999 1375.6 20060101 20200625 720151 99999 ALPINE CASPARIS MUNI US TX KE38 30.384 -103.684 1376.0 20040426 20051231 720159 99999 HIGH ISLAND 264C US LA KH08 28.467 -93.73299999999999 30.0 20040414 20130510 720160 63884 KEE FLD US WV KI16 37.601 -81.559 543.5 20060101 20130501 720160 99999 KEE FLD US WV 37.6 -81.559 543.5 20040803 20051231 720165 99999 WARNER SPRINGS GLIDERPORT US CA 34.264 -116.854 2056.8 20070307 20130430 720168 99999 COVINGTON MUNI US TN KM04 35.583 -89.587 85.3 20170427 20200624 720169 00116 WASHINGTON REGIONAL AIRPORT US MO KFYG 38.583 -91.0 149.1 20120209 20200625 720169 99999 WASHINGTON REGIONAL AIRPORT US MO KFYG 38.583 -91.0 148.7 20180104 20180520 720170 63851 METROPOLIS MUNICIPAL AIRPORT US IL KM30 37.186 -88.751 117.0 20060101 20200626 720170 99999 METROPOLIS MUNICIPAL US IL KM30 37.186 -88.751 117.0 20040803 20051231 720171 99999 WILLIAM L WHITEHURST FLD US TN KM08 35.214 -89.04299999999999 152.1 20160804 20200624 720172 53996 MENA INTERMOUNTAIN MUNICIPAL AIRPORT US AR KMEZ 34.545 -94.20299999999999 328.9 20060101 20200625 720172 99999 MENA INTERMOUNTAIN US AR KMEZ 34.545 -94.20299999999999 329.0 20041103 20051231 720175 53919 MONTCELO MUNI/ELLIS FLD AP US AR KLLQ 33.635999999999996 -91.756 88.4 20050101 20200625 720175 99999 MONTICELLO US AR KLLQ 33.633 -91.75 84.0 20180101 20180514 720193 00117 LONNIE POOL FIELD WEAVERVILLE AIRPORT US CA KO54 40.747 -122.92200000000001 716.3 20101030 20200625 720193 99999 LONNIE POOL FLD / WEAVERVILLE AIRPORT US CA KO54 40.747 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63844 MACON CO US NC K1A5 35.223 -83.419 615.7 20060101 20130501 720259 99999 MACON CO US NC 35.223 -83.419 615.7 20040525 20051231 720261 53976 BRIDGEPORT MUNICIPAL ARPT US TX KXBP 33.175 -97.82799999999999 259.4 20060101 20200625 720261 99999 BRIDGEPORT MUNI US TX KXBP 33.183 -97.833 260.0 20040525 20051231 720262 94076 MC ELROY AFLD US CO K20V 40.054 -106.369 2258.9 20060101 20130430 720262 99999 MC ELROY AFLD US CO 40.054 -106.369 2258.9 20040525 20051231 720263 63834 ELBERT CO-PATZ FLD AIRPORT US GA K27A 34.095 -82.816 183.8 20050101 20190913 720263 99999 ELBERT CO PATZ FLD US GA 34.095 -82.816 183.8 20040525 20180322 720264 63827 TAZEWELL COUNTY AIRPORT US VA K6V3 37.064 -81.798 808.3 20060101 20130430 720264 99999 TAZEWELL COUNTY ARPT US VA KJFZ 37.067 -81.8 808.0 20040525 20051231 720265 63833 THOMAS C RUSSELL FLD ARPT US AL KALX 32.915 -85.963 209.1 20060101 20200626 720265 99999 THOMAS C RUSSELL FLD US AL KALX 32.917 -85.96700000000001 209.0 20040525 20051231 720266 54809 WARSAW MUNICIPAL AIRPORT US IN KASW 41.275 -85.84 259.1 20060101 20200626 720266 99999 WARSAW MUNICIPAL US IN KASW 41.266999999999996 -85.833 259.0 20040525 20051231 720267 23224 AUBURN MUNICIPAL AIRPORT US CA KAUN 38.955 -121.08200000000001 466.7 20060101 20200625 720267 99999 AUBURN MUNICIPAL US CA KAUN 38.955 -121.08200000000001 468.0 20040525 20051231 720268 53882 DCATR CO INDUS AIRPK ARPT US GA KBGE 30.983 -84.633 43.0 20060101 20200625 720268 99999 DECATUR CO INDUSTRI US GA KBGE 30.967 -84.633 43.0 20040525 20051231 720269 12982 BROOKS COUNTY AIRPORT US TX KBKS 27.206999999999997 -98.12100000000001 34.1 20060101 20200516 720269 99999 BROOKS CO US TX KBKS 27.2 -98.117 34.0 20040525 20051231 720271 03044 BIG SRNG MCMHN-WRKLE ARPT US TX KBPG 32.213 -101.521 784.3 20060101 20200625 720271 99999 BIG SPRING MCMAHON US TX KBPG 32.217 -101.51700000000001 784.0 20040525 20051231 720272 94282 SKAGIT REGIONAL AIRPORT US WA KBVS 48.467 -122.417 42.7 20060101 20200625 720272 99999 SKAGIT RGNL US WA KBVS 48.467 -122.417 44.0 20040525 20051231 720273 12981 BAY CITY MUNICIPAL AIRPORT US TX KBYY 28.973000000000003 -95.863 13.7 20060101 20200626 720273 99999 BAY CITY MUNI US TX KBYY 28.967 -95.867 14.0 20040525 20051231 720274 93799 COLUMBUS CO MUNICIPAL ARPT US NC KCPC 34.273 -78.715 29.9 20060101 20200625 720274 99999 COLUMBUS CO MUNI US NC KCPC 34.266999999999996 -78.717 30.0 20040525 20051231 720275 04872 TOLEDO SUBURBAN AIRPORT US MI KDUH 41.736000000000004 -83.655 203.9 20060101 20200625 720275 99999 LAMBERTVILLE US MI KDUH 41.733000000000004 -83.65 204.0 20040525 20051231 720276 12983 EDINBURG INTL AIRPORT US TX KEBG 26.441999999999997 -98.12899999999999 24.4 20060101 20200625 720276 99999 EDINBURG INTL US TX KEBG 26.441999999999997 -98.12200000000001 23.0 20040525 20051231 720277 63843 SHELBY MUNICIPAL AIRPORT US NC KEHO 35.256 -81.601 258.2 20060101 20200625 720277 99999 SHELBY MUNI US NC KEHO 35.256 -81.601 258.0 20040525 20051231 720278 03704 EMPORIA-GRENVLE RGNL ARPT US VA KEMV 36.687 -77.483 38.7 20060101 20200625 720278 99999 EMPORIA GREENSVILLE US VA KEMV 36.687 -77.483 39.0 20040525 20051231 720279 03705 CURTIS L BROWN JR FLD ARPT US NC KEYF 34.602 -78.578 40.5 20060101 20200625 720279 99999 C L BROWN JR FLD US NC KEYF 34.6 -78.583 41.0 20040525 20051231 720281 53969 WILBARGER CO US TX KF05 34.226 -99.28399999999999 385.6 20060101 20130430 720281 99999 WILBARGER CO US TX 34.226 -99.28399999999999 385.6 20040525 20051231 720282 03736 FIRST FLIGHT AIRPORT US NC KFFA 36.018 -75.671 4.0 20060101 20200625 720282 99999 FIRST FLIGHT US NC KFFA 36.018 -75.671 4.0 20040525 20051231 720283 04927 FILLMORE COUNTY AIRPORT US MN KFKA 43.677 -92.18 388.9 20060101 20200625 720283 99999 FILLMORE CO US MN KFKA 43.677 -92.18 389.0 20040525 20051231 720284 04877 FITCH H BEACH AIRPORT US MI KFPK 42.574 -84.811 267.6 20060101 20200625 720284 99999 CHARLOTTE US MI KFPK 42.567 -84.81700000000001 271.0 20040525 20051231 720285 03734 MIDDLE PENINSULA REGIONAL AIRPORT US 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20200625 720304 99999 WINGS FLD US PA KLOM 40.133 -75.267 92.0 20040525 20041231 720305 53964 DECATUR MUNICIPAL AIRPORT US TX KLUD 33.254 -97.581 319.1 20060101 20200625 720305 99999 DECATUR MUNI US TX KLUD 33.25 -97.583 319.0 20040525 20051231 720306 53879 LEE'S SUMMIT MUNICIPAL APT US MO KLXT 38.96 -94.37100000000001 303.9 20060101 20200625 720306 99999 LEE'S SUMMIT US MO KLXT 38.955999999999996 -94.37299999999999 306.0 20040525 20051231 720307 63804 MADISON CO EXECUTIVE ARPT US AL KMDQ 34.861 -86.557 230.1 20060101 20200625 720307 99999 HUNTSVILLE US AL KMDQ 34.861 -86.557 230.0 20040525 20051231 720308 04992 MILLARD AIRPORT US NE KMLE 41.196000000000005 -96.11200000000001 319.7 20060101 20200625 720308 99999 MILLARD US NE KMLE 41.196000000000005 -96.11200000000001 320.0 20040525 20051231 720309 04947 MOUNT PLEASANT MUNI ARPT US IA KMPZ 40.946999999999996 -91.51100000000001 223.7 20060101 20200625 720309 99999 MT PLEASANT MUNI US IA KMPZ 40.95 -91.51700000000001 224.0 20040525 20051231 720311 53962 MOUNT PLEASANT RGNL ARPT US TX KOSA 33.096 -94.961 110.6 20060101 20200625 720311 99999 MT PLEASANT US TX KOSA 33.1 -94.96700000000001 111.0 20040525 20051231 720312 04964 PELLA MUNICIPAL AIRPORT US IA KPEA 41.4 -92.946 269.8 20060101 20200625 720312 99999 PELLA MUNI US IA KPEA 41.4 -92.95 270.0 20040525 20051231 720313 03052 PERRY LEFORS FIELD AIRPORT US TX KPPA 35.613 -100.99600000000001 989.1 20060101 20200625 720313 99999 PERRY LEFORS FLD US NM KPPA 35.617 -100.98299999999999 989.0 20040525 20051231 720314 93983 PALESTINE MUNICIPAL ARPT US TX KPSN 31.78 -95.706 128.9 20060101 20200625 720314 99999 PALESTINE MUNI US TX KPSN 31.783 -95.7 129.0 20040525 20051231 720315 03045 PERRYTON OCHILTREE CO ARPT US TX KPYX 36.414 -100.75 889.4 20060101 20200625 720315 99999 PERRYTON OCHILTREE US TX KPYX 36.417 -100.75 889.0 20040525 20051231 720316 12984 NUECES COUNTY ARIPORT US TX KRBO 27.779 -97.691 24.1 20060101 20200625 720316 99999 UECES CO US TX KRBO 27.783 -97.68299999999999 24.0 20040716 20051231 720317 03735 STAFFORD REGIONAL AIRPORT US VA KRMN 38.398 -77.456 64.6 20060101 20200625 720317 99999 STAFFORD RGNL US VA KRMN 38.4 -77.45 64.0 20040525 20051231 720318 53965 GRAHAM MUNICIPAL AIRPORT US TX KRPH 33.11 -98.555 342.3 20060101 20200625 720318 99999 GRAHAM MUNI US TX KRPH 33.11 -98.555 342.0 20040525 20051231 720319 63841 ROBINSON MUNICIPAL AIRPORT US IL KRSV 39.016 -87.65 140.8 20060101 20200625 720319 99999 ROBINSON MUNI US IL KRSV 39.016999999999996 -87.65 141.0 20040525 20051231 720320 53981 CLEBURNE MUNICIPAL AIRPORT US TX KCPT 32.354 -97.434 260.3 20060101 20200625 720320 99999 CLEBURNE MUNI US TX KCPT 32.35 -97.43299999999999 260.0 20040803 20051231 720321 04893 CHEBOYGAN COUNTY AIRPORT US MI KSLH 45.653999999999996 -84.51899999999999 193.6 20060101 20200625 720321 99999 CHEBOYGAN CO US MI KSLH 45.65 -84.51700000000001 195.0 20040525 20051231 720322 04129 SANDPOINT AIRPORT US ID KSZT 48.299 -116.56 648.3 20060101 20200625 720322 99999 SANDPOINT US ID KSZT 48.3 -116.56700000000001 650.0 20040525 20051231 720323 93947 GILLESPIE CO US TX KT82 30.243000000000002 -98.91 516.6 20060101 20200625 720323 99999 GILLESPIE CO US TX 30.243000000000002 -98.90899999999999 516.6 20040525 20051231 720324 64753 QUAKERTOWN AIRPORT US PA KUKT 40.435 -75.382 160.3 20060101 20200625 720324 99999 QUAKERTOWN US PA KUKT 40.433 -75.383 160.0 20040525 20051231 720326 04981 VINTON VETERANS MEMORIAL AIRPARK AIRPORT US IA KVTI 42.218999999999994 -92.02600000000001 257.6 20060101 20200605 720326 99999 VINTON VETERANS MEM US IA KVTI 42.217 -92.03299999999999 258.0 20040525 20051231 720327 04995 MENOMONIE MUNICIPAL AIRPORT-SCORE FIELD US WI KLUM 44.891999999999996 -91.868 272.8 20060101 20200626 720327 99999 MENOMONIE AFLD US WI KLUM 44.883 -91.867 273.0 20040525 20051231 720328 63832 UPSHUR COUNTY RGNL AIRPORT US WV KW22 39.0 -80.274 498.4 20060101 20200626 720328 99999 UPSHUR CO RGNL US WV KW22 39.0 -80.267 498.0 20040525 20051231 720329 99999 CABLE US CA KCCB 34.111999999999995 -117.68799999999999 438.6 20171207 20200624 720330 63853 MOUNT CARMEL MUNICIPAL AIRPORT US IL KAJG 38.607 -87.727 161.2 20060101 20200625 720330 99999 MT CARMEL MUNI US IL KAJG 38.6 -87.73299999999999 131.0 20040803 20051231 720331 99999 KENNETT MEM US MO KTKX 36.226 -90.037 79.9 20151210 20200624 720333 53175 CORONA MUNICIPAL AIRPORT US CA KAJO 33.898 -117.602 162.5 20060907 20200625 720333 99999 CORONA MUNI US CA KAJO 33.9 -117.6 162.0 20080101 20180303 720334 93764 GAITHERSBURG MONTGOMERY COUNTY AIR PARK US MD KGAI 39.167 -77.167 164.3 20071017 20200625 720334 99999 MONTGOMERY CO AIRPARK US MD KGAI 39.168 -77.166 164.3 20080101 20081231 720339 00121 RYAN FIELD AIRPORT US AZ KRYN 32.15 -111.167 737.0 20071115 20200624 720339 99999 RYAN FLD US AZ KRYN 32.141999999999996 -111.175 736.7 20080101 20180514 720340 54818 FRANKFORT DOW MEMORIAL FIELD AIRPORT US MI KFKS 44.626000000000005 -86.20100000000001 192.6 20060101 20200625 720340 99999 FRANKLIN DOW MEM FLD US MI KFKS 44.625 -86.20100000000001 193.0 20040824 20051231 720342 53947 WATONGA AIRPORT US OK KJWG 35.864000000000004 -98.421 471.8 20060101 20200625 720342 99999 WATONGA RGNL US OK KJWG 35.867 -98.421 472.0 20041109 20051231 720343 54852 WAUPACA MUNICIPAL AIRPORT US WI KPCZ 44.333 -89.02 251.8 20060101 20200625 720343 99999 WAUPACA MUNI US WI KPCZ 44.333 -89.01700000000001 252.0 20041109 20051231 720344 54920 CHEROKEE MUNICIPAL AIRPORT/ US IA KCKP 42.732 -95.556 373.7 20060101 20200625 720344 99999 CHEROKEE MUNI US IA KCKP 42.733000000000004 -95.55 374.0 20050406 20051231 720345 94086 RALPH WENZ FIELD AIRPORT US WY KPNA 42.79600000000001 -109.807 2159.8 20060101 20200625 720345 99999 RALPH WENZ FLD US WY KPNA 42.8 -109.8 2160.0 20041109 20051231 720346 53991 ALLEN PARISH AIRPORT US LA KACP 30.75 -92.68799999999999 32.6 20050408 20200625 720347 63877 GREENE COUNTY REGIONAL AIRPORT US GA K3J7 33.598 -83.139 206.4 20060101 20200626 720347 99999 GREENE COUNTY RGNL US GA K3J7 33.6 -83.133 206.0 20050427 20051231 720348 63886 BALDWIN COUNTY AIRPORT US GA KMLJ 33.154 -83.241 117.0 20060101 20200626 720348 99999 BALDWIN CO US GA KMLJ 33.154 -83.241 117.0 20050427 20051231 720351 54919 OSKALOOSA MUNICIPAL AIRPORT US IA KOOA 41.226000000000006 -92.491 256.0 20060101 20200625 720351 99999 OSKALOOSA MUNI US IA KOOA 41.233000000000004 -92.5 256.0 20050507 20051231 720352 99999 MISSISSIPPI CANYON US LA KCYD 28.17 -89.22 1.0 20050507 20200624 720353 63875 MIDDLESBORO-BELL COUNTY AIRPORT US KY K1A6 36.611 -83.738 351.7 20060101 20200625 720353 99999 MIDDLESBORO BELL CO US KY K1A6 36.617 -83.73299999999999 352.0 20050524 20051231 720354 63901 ALTUS/QUARTZ MOUNTAIN REGIONAL AIRPORT US OK KAXS 34.699 -99.338 436.8 20050524 20200625 720355 03732 GREATER CUMBERLAND REGIONAL AIRPORT US MD KCBE 39.6 -78.767 236.2 20060428 20200625 720355 99999 GREATER CUMBERLAND US MD KCBE 39.617 -78.767 236.0 20050524 20050524 720356 13999 CLINTON REGIONAL AIRPORT US OK KCLK 35.538000000000004 -98.93299999999999 492.6 20050611 20200625 720357 53993 CUSHING MUNICIPAL AIRPORT US OK KCUH 35.95 -96.773 279.2 20060101 20200625 720357 99999 CUSHING MUNI US OK KCUH 35.95 -96.76700000000001 279.0 20050611 20051231 720358 53999 EL RENO REGIONAL AIRPORT US OK KRQO 35.473 -98.006 431.9 20050817 20200625 720359 23902 SEMINOLE MUNICIPAL AIRPORT US OK KSRE 35.275 -96.675 312.1 20050611 20200625 720361 63870 FLORALA MUNI US AL K0J4 31.043000000000003 -86.31200000000001 95.7 20060511 20200506 720362 63874 MAC CRENSHAW MEMORIAL AIRPORT US AL KPRN 31.846 -86.611 137.5 20060901 20200625 720363 63872 WEEDON FIELD AIRPORT US AL KEUF 31.951 -85.12899999999999 86.9 20060901 20190304 720365 24267 BROOKINGS AIRPORT US OR KBOK 42.074 -124.29 139.9 20050802 20200625 720365 99999 BROOKINGS AIRPORT US OR KBOK 42.074 -124.29 140.0 20050729 20180520 720366 63879 BRAXTON CO US WV K48I 38.687 -80.652 388.6 20060101 20090815 720366 99999 BRAXTON CO US WV 38.687 -80.652 387.1 20050801 20051231 720367 54927 PAYNESVILLE MUNICIPAL AP US MN KPEX 45.372 -94.74600000000001 359.7 20050812 20200625 720367 99999 PAYNESVILLE MUNI US MN KPEX 45.372 -94.74700000000001 359.7 20080101 20180211 720368 54924 SLAYTON MUNICIPAL AIRPORT US MN KDVP 43.986999999999995 -95.78299999999999 494.7 20050811 20200625 720369 04135 DRIGGS-REED MEMORIAL AIRPORT US ID KDIJ 43.743 -111.098 1898.6 20061024 20200625 720371 54850 HREE RIVERS MUNICIPAL DR HAINES AIRPORT US MI KHAI 41.96 -85.59299999999999 251.2 20061024 20200625 720373 92824 PLANT CITY MUNICIPAL AIRPORT US FL KPCM 28.0 -82.164 46.9 20061024 20200625 720374 92825 PETER O KNIGHT AIRPORT US FL KTPF 27.916 -82.449 2.4 20061024 20200625 720375 54844 DRUMMOND ISLAND AIRPORT US MI KDRM 46.007 -83.743 202.7 20060831 20200625 720376 63880 THE ALBERTVILLE MUNI ARPT-THOMAS J BRUMLIK FLD US AL K8A0 34.229 -86.256 314.6 20060403 20200625 720377 13917 NEWPORT MUNI US AR KM19 35.633 -91.167 0.0 20060501 20200625 720377 99999 NEWPORT MUNI US AR KM19 35.638000000000005 -91.176 72.8 20080101 20180322 720378 00122 NEW CASTLE MUNICIPAL AIRPORT US PA KUCP 41.033 -80.417 327.1 20060501 20200625 720378 99999 NEW CASTLE MUNI US PA KUCP 41.025 -80.413 326.7 20080101 20180501 720379 63882 WAYNE COUNTY AIRPORT US KY KEKQ 36.855 -84.85600000000001 293.5 20060501 20200626 720381 63885 JACK EDWARDS AIRPORT US AL KJKA 30.291 -87.67200000000001 4.9 20060501 20200625 720382 00123 ST MICHAEL AIRPORT US AK PAMK 63.49 -162.11 28.0 20060501 20200625 720382 99999 ST MICHAEL US AK PAMK 63.49 -162.11 28.0 20080101 20180513 720383 53847 WHITING FIELD NAVAL AIR STATION-SOUTH US FL KNDZ 30.704 -87.023 54.3 20070116 20200625 720384 00124 BAY BRIDGE AIRPORT US MD KW29 38.967 -76.333 5.2 20070401 20200625 720384 99999 STEVENSVILLE US MD KW29 38.967 -76.333 5.0 20080101 20180103 720385 00419 BERTHOUD PASS US CO K0CO 39.8 -105.766 4113.3 20070401 20200625 720385 99999 BERTHOUD PASS US CO K0CO 39.8 -105.76700000000001 4113.0 20080101 20180520 720386 00125 WILLMAR MUNICIPAL AIRPORT JOHN L RICE FIELD US MN KBDH 45.117 -95.133 344.1 20070724 20200625 720386 99999 WILLMAR MUNI US MN KBDH 45.117 -95.133 343.0 20050101 20180322 720387 99999 HOBBS US NM KHBB 32.766999999999996 -103.21700000000001 1130.0 20070401 20120227 720388 00469 PIERCE COUNTY AIRPORT THUN FIELD US WA KPLU 47.104 -122.287 164.3 20070401 20200625 720388 99999 PUYALLUP THUN FIELD US WA KPLU 47.1 -122.28299999999999 164.0 20080101 20180514 720389 99999 ST MARY'S RGNL / LEONARD TOWN US MD 38.317 -76.55 43.3 20070521 20130430 720391 00127 BEEVILLE MUNICIPAL AIRPORT US TX KBEA 28.35 -97.71700000000001 82.3 20070625 20200625 720391 99999 BEEVILLE MUNI US TX KBEA 28.35 -97.71700000000001 82.0 20080101 20180514 720392 00128 HOMERVILLE AIRPORT US GA KHOE 31.055999999999997 -82.76700000000001 57.3 20070521 20200624 720392 99999 HOMERVILLE US GA KHOE 31.055999999999997 -82.774 56.7 20080101 20180514 720393 00129 HEREFORD MUNICIPAL AIRPORT US TX KHRX 34.85 -102.333 1153.1 20070521 20200625 720393 99999 HEREFORD MUNI US TX KHRX 34.858000000000004 -102.32600000000001 1153.7 20080101 20180514 720394 00428 DEXTER B FLORENCE MEMORIAL FIELD AIRPORT US AR KADF 34.1 -93.066 55.8 20130501 20200625 720394 99999 DEXTER B FLORENCE MEM FLD US AR KADF 34.1 -93.066 55.5 20080101 20180514 720395 00130 PLEASANTON MUNICIPAL AIRPORT US TX KPEZ 28.95 -98.51700000000001 131.1 20070521 20200625 720395 99999 PLEASANTON MUNI US TX KPEZ 28.954 -98.52 131.1 20080101 20180514 720396 99999 TP MCCAMPBELL US TX 27.913 -97.212 5.5 20070521 20070717 720397 00131 OHIO UNIVERSITY AIRPORT SNYDER FIELD US OH KUNI 39.217 -82.23299999999999 233.2 20070521 20200625 720397 99999 OHIO UNIVERSITY SNYDER FLD US OH KUNI 39.211 -82.23100000000001 233.5 20080101 20180501 720398 99999 WAUTOMA MUNI US WI 44.042 -89.304 261.8 20070521 20130425 720399 99999 CAMP BLANDING AAF US FL K2CB 29.951999999999998 -81.98 59.7 20080602 20141003 720401 00133 CLINTON MUNICIPAL AIRPORT US AR KCCA 35.6 -92.45 157.3 20070628 20200625 720401 99999 CLINTON MUNI US AR KCCA 35.6 -92.45 157.0 20080101 20180514 720402 99999 SKYHAVEN US MO K9K4 38.784 -93.803 242.3 20070628 20080106 720403 99999 KICKAPOO DOWNTOWN AIRPARK US TX KT47 33.858000000000004 -98.49 304.2 20070628 20071015 720404 00134 KICKAPOO DOWNTOWN AIRPORT US TX KCWC 33.85 -98.48299999999999 304.2 20071114 20200625 720404 99999 KICKAPOO DOWNTOWN AIRPORT US TX KCWC 33.85 -98.48299999999999 304.0 20080101 20081231 720405 00436 BLAIR MUNICIPAL AIRPORT US NE KBTA 41.412 -96.109 395.9 20090101 20200625 720405 99999 BLAIR MUNI AIRPORT US NE KBTA 41.417 -96.117 403.9 20080107 20180430 720406 00135 GNOSS FIELD AIRPORT US CA KDVO 38.15 -122.55 1.2 20140731 20200625 720406 99999 GNOSS FIELD AIRPORT US CA KDVO 38.15 -122.55 0.6 20071114 20140730 720407 00462 OCEAN COUNTY AIRPORT US NJ KMJX 39.928000000000004 -74.292 25.0 20071114 20200625 720407 99999 ROBERT J MILLER AIRPARK US NJ KMJX 39.933 -74.3 25.0 20080101 20180520 720408 00136 CHESTER COUNTY GO CARLSON AIRPORT US PA KMQS 39.983000000000004 -75.867 201.2 20071203 20200625 720408 99999 COATESVILLE/CARLSON AIRPORT US PA KMQS 39.983000000000004 -75.867 201.0 20080101 20180514 720409 99999 BLAIRSVILLE AIRPORT US GA KDZJ 34.85 -83.98299999999999 582.0 20080101 20200624 720411 00137 ANGEL FIRE AIRPORT US NM KAXX 36.422 -105.29 2554.2 20090101 20200625 720411 99999 ANGEL FIRE US NM KAXX 36.417 -105.29 2554.2 20080107 20180514 720412 54943 PERRY MUNICIPAL AIRPORT US IA KPRO 41.828 -94.16 308.8 20090101 20200625 720412 99999 PERRY MUNI US IA KPRO 41.828 -94.16 309.0 20080115 20180520 720413 00138 POSEY FIELD AIRPORT US AL K1M4 34.266999999999996 -87.6 284.1 20090101 20200625 720413 99999 HALEYVIILLE / POSEY FIELD US AL K1M4 34.266999999999996 -87.6 284.0 20080229 20180514 720414 00139 KNOX COUNTY AIRPORT US OH K4I3 40.333 -82.51700000000001 363.0 20090101 20200626 720414 99999 KNOX COUNTY US OH K4I3 40.333 -82.51700000000001 363.0 20080229 20180520 720415 00140 FREMONT MUNICIPAL AIRPORT US MI KFFX 43.433 -86.0 253.3 20090101 20200625 720415 99999 FREMONT MUNI US MI KFFX 43.433 -86.0 253.0 20080229 20180514 720417 99999 JOHNSON (STANTON CO MUNI) US KS K2K3 37.583 -101.73299999999999 1013.5 20160302 20200624 720422 03037 SHALTZ FIELD AIRPORT US KS KCBK 39.428000000000004 -101.046 971.1 20120403 20200625 720424 99999 CAMP RED DEVIL US CO K1PW 38.5 -104.917 1816.9 20131119 20131119 720425 99999 HUGOTON MUNI US KS KHQG 37.163000000000004 -101.37100000000001 954.9 20151020 20200624 720426 00141 INDEPENDENT MUNICIPAL AIRPORT US KS KIDP 37.158 -95.77799999999999 251.2 20100604 20200625 720426 99999 INDEPENDENCE MUNICIPAL AIRPORT US KS KIDP 37.158 -95.77799999999999 251.5 20180101 20180514 720431 99999 LARNED PAWNEE CO US KS KLQR 38.209 -99.086 613.0 20170615 20180828 720433 99999 NORTON MUNI US KS KNRN 39.85 -99.895 726.3 20181017 20181017 720434 99999 OAKLEY MUNI US KS KOEL 39.11 -100.816 928.1 20190425 20200624 720436 00142 ATKINSON MUNICIPAL AIRPORT US KS KPTS 37.45 -94.73299999999999 290.2 20100113 20200625 720436 99999 ATKINSON MUNI US KS KPTS 37.449 -94.73100000000001 289.6 20180106 20180322 720437 00143 CHEYENNE COUNTY MUNICIPAL AIRPORT US KS KSYF 39.766999999999996 -101.8 1040.3 20120423 20200625 720437 99999 CHEYENNE CO MUNI US KS KSYF 39.760999999999996 -101.796 1039.7 20180101 20180514 720438 99999 SCOTT CITY MUNI US KS KTQK 38.474000000000004 -100.885 903.1 20190429 20200624 720439 99999 ULYSSES US KS KULS 37.604 -101.374 934.8 20180524 20200624 720443 99999 MADISONVILLE MUNI US KY 37.355 -87.4 133.8 20111021 20130430 720445 99999 CAMPBELLVILLE / TAYLOR CO US KY KAAS 37.358000000000004 -85.309 280.7 20180719 20200624 720446 99999 SAMUELS FLD / BARDSTOWN US KY KBRY 37.814 -85.5 203.9 20171207 20200624 720447 00437 KYLE OAKLEY FIELD AIRPORT US KY KCEY 36.665 -88.37299999999999 176.2 20101109 20200625 720448 00144 STUART POWELL FIELD AIRPORT US KY KDVK 37.578 -84.77 312.1 20090101 20200625 720448 99999 STUART POWELL FLD US KY KDVK 37.578 -84.77 311.5 20080325 20180514 720449 99999 ASHLAND RGNL US KY KDWU 38.555 -82.738 166.4 20140813 20200624 720451 99999 ADDINGTON FLD US KY KEKX 37.686 -85.925 236.2 20161110 20200624 720452 99999 FLEMING/MASON AIRPORT US KY KFGX 38.542 -83.743 278.3 20140307 20200624 720455 00145 MADISON AIRPORT US KY KI39 37.633 -84.333 305.1 20101216 20200624 720455 99999 MADISON / RICHMOND US KY 37.631 -84.33200000000001 304.8 20180101 20180514 720456 00146 MOUNT STERLING MONTGOMERY COUNTY AIRPORT US KY KIOB 38.067 -83.98299999999999 311.2 20120531 20200625 720456 99999 MT STERLING MONTGOMERY CO US KY KIOB 38.058 -83.98 310.6 20180101 20180514 720457 99999 WENDELL H FORD ARPT US KY KCPF 37.387 -83.262 383.0 20200430 20200624 720458 00476 BIG SANDY REGIONAL AIRPORT US KY KSJS 37.751 -82.637 372.5 20120531 20200625 720458 99999 BLUEBIRD US OK 35.403 -96.83200000000001 313.9 20180101 20180514 720464 99999 PIKE CO HATCHER FLD US KY KPBX 37.562 -82.566 449.0 20140923 20200624 720465 99999 WILLIAMSBURG (WHITLEY CO ARPT) US KY KBYL 36.8 -84.2 358.8 20160302 20200624 720466 99999 SUPERDOME HELIPORT US LA KVSH 29.95 -90.083 15.2 20120726 20150128 720467 00148 GEORGE R CARR MEMORIAL AIR FIELD US LA KBXA 30.816999999999997 -89.867 36.6 20120824 20200625 720467 99999 GEORGE R CARR MEM AIR FLD US LA KBXA 30.814 -89.865 36.3 20180107 20180514 720468 00466 ST LANDRY PARISH AIRPORT AHART FIELD US LA KOPL 30.558000000000003 -92.09899999999999 23.2 20130502 20200625 720472 99999 STEVEN A BEAN MUNI US ME K8B0 44.992 -70.665 556.3 20170116 20200624 720475 99999 NORTHWEST MISSOURI RGNL US MO KEVU 40.353 -94.915 350.5 20170105 20200624 720476 00455 HANNIBAL REGIONAL AIRPORT US MO KHAE 39.725 -91.444 234.7 20121115 20200625 720477 99999 FLOYD W JONES LEBANON US MO KLBO 37.648 -92.652 402.6 20170630 20200624 720478 99999 LAWRENCE SMITH MEM US MO KLRY 38.611 -94.34200000000001 278.9 20161216 20200624 720479 00149 MONETT MUNICIPAL AIRPORT US MO KHFJ 36.9 -94.01700000000001 401.1 20090201 20200625 720479 99999 MONETT MUNI US MO 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MUNI AIRPORT US WY KDUB 43.548 -109.69 2224.1 20180101 20180514 720524 99999 FREMONT CO AIRPORT US CO 38.428000000000004 -105.10600000000001 1657.8 20120713 20130430 720528 03064 CENTRAL COLORADO REGIONAL AP US CO KAEJ 38.698 -106.07 2421.9 20100401 20200625 720529 00429 HOPKINS FIELD AIRPORT US CO KAIB 38.239000000000004 -108.56299999999999 1810.5 20121206 20200504 720529 99999 HOPKINS FIELD US CO KAIB 38.233000000000004 -108.56700000000001 1811.0 20080704 20080704 720531 00158 BLAKE FIELD AIRPORT US CO KAJZ 38.783 -108.06700000000001 1583.1 20120209 20200625 720531 99999 BLAKE FIELD / DELTA US CO KAJZ 38.783 -108.06700000000001 1583.0 20180101 20180514 720532 00159 HARRIET ALEXANDER FIELD AIRPORT US CO KANK 38.533 -106.05 2294.2 20091121 20200625 720532 99999 HARRIET- ALEXANDER FIELD US CO KANK 38.533 -106.05 2294.0 20180101 20180514 720533 00160 BOULDER MUNICIPAL AIRPORT US CO KBDU 40.033 -105.21700000000001 1612.1 20100201 20200625 720533 99999 BOULDER MUNICIPAL AIRPORT US CO KBDU 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MUNICIPAL AIRPORT US UT K36U 40.482 -111.429 1718.2 20100412 20200624 720567 24180 BRIGHAM CITY AIRPORT US UT KBMC 41.552 -112.06200000000001 1288.1 20140724 20200625 720569 99999 KANAB MUNI US UT KKNB 37.010999999999996 -112.531 1483.8 20130813 20200624 720572 99999 BOLINDER FIELD TOOELE VALLEY US UT KTVY 40.611999999999995 -112.351 1316.1 20150506 20200624 720575 00173 INDIANAPOLIS EXECUTIVE AIRPORT US IN KTYQ 40.031 -86.251 281.0 20140101 20200625 720575 99999 INDIANAPOLIS EXECUTIVE US IN KTYQ 40.031 -86.251 281.0 20080721 20131231 720576 00174 UNIVERSITY AIRPORT US CA KEDU 38.533 -121.78299999999999 21.0 20090102 20200625 720576 99999 DAVIS US CA KEDU 38.533 -121.78299999999999 21.0 20080721 20180514 720577 00175 RUSK COUNTY AIRPORT US TX KRFI 32.15 -94.85 135.0 20090109 20200625 720577 99999 HENDERSON/RUSK COUNTY AIRPORT US TX KRFI 32.15 -94.85 134.7 20080721 20180515 720578 00176 STEPHENS COUNTY AIRPORT US TX KBKD 32.717 -98.89200000000001 391.1 20090101 20200625 720578 99999 STEPHENS CO US TX KBKD 32.719 -98.891 391.4 20080721 20180514 720579 99999 CASTROVILLE MUNI US TX KT89 29.342 -98.851 235.0 20080825 20130430 720581 00178 LINDEN AIRPORT US NJ KLDJ 40.617 -74.25 7.0 20170101 20200625 720581 99999 LINDEN US NJ KLDJ 40.617 -74.245 7.0 20080721 20161231 720582 99999 TODD FLD US MN 45.898999999999994 -94.874 406.3 20080721 20130430 720583 99999 LAKE ELMO US MN 44.997 -92.85600000000001 284.1 20080721 20130430 720584 00181 ZAPATA COUNTY AIRPORT US TX KAPY 26.967 -99.25 129.2 20090101 20200625 720584 99999 ZAPATA US TX KAPY 26.967 -99.25 129.0 20080721 20180515 720585 99999 ELBOW LAKE MUNI US MN 45.986000000000004 -95.992 367.0 20080721 20130430 720586 00183 PLATTEVILLE MUNICIPAL AIRPORT US WI KPVB 42.683 -90.45 312.1 20090101 20200625 720586 99999 PLATTEVILLE MUNI US WI KPVB 42.68899999999999 -90.444 312.1 20080825 20180515 720587 00184 ABBEVILLE CHRIS CRUSTA MEMORIAL AIRPORT US LA KIYA 29.976 -92.084 15.2 20090101 20200625 720587 99999 CHRIS CRUSTA 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720597 00190 LAURENS COUNTY AIRPORT US SC KLUX 34.5 -81.95 212.1 20090105 20200626 720597 99999 LAURENS US SC KLUX 34.5 -81.95 212.0 20180101 20180515 720598 00191 BERKELEY COUNTY AIRPORT US SC KMKS 33.183 -80.033 22.3 20090105 20200625 720598 99999 MONCKS CORNER US SC KMKS 33.183 -80.033 22.0 20180104 20180322 720599 00192 CHESTER CATAWBA REGIONAL AIRPORT US SC KDCM 34.783 -81.2 200.3 20090105 20200625 720599 99999 CHESTER US SC KDCM 34.783 -81.2 200.0 20180129 20180207 720601 00193 AIKEN MUNICIPAL AIRPORT US SC KAIK 33.65 -81.683 161.2 20090105 20200626 720601 99999 AIKEN MUNI US SC KAIK 33.649 -81.685 160.9 20180101 20180515 720602 00194 BARNWELL REGIONAL AIRPORT US SC KBNL 33.25 -81.383 75.3 20090105 20200626 720602 99999 BARNWELL CO US SC KBNL 33.258 -81.388 75.0 20180101 20180515 720603 00195 WOODWARD FIELD AIRPORT US SC KCDN 34.283 -80.567 92.1 20090105 20200625 720603 99999 CAMDEN/WOODWARD FLD US SC KCDN 34.283 -80.567 92.0 20180102 20180410 720604 00196 WILLIAMSBURG REGIONAL AIRPORT US SC KCKI 33.717 -79.85 20.1 20090105 20200625 720605 00197 CHERAW MUNICIPAL LYNCH BELLINGER FIELD US SC KCQW 34.717 -79.95 73.2 20090105 20200626 720605 99999 CHERAW US SC KCQW 34.717 -79.95 73.0 20180101 20180515 720606 00198 CHARLESTON EXECUTIVE AIRPORT US SC KJZI 32.701 -80.003 5.2 20130101 20200625 720606 99999 CHARLESTON EXECUTIVE US SC KJZI 32.701 -80.003 5.2 20090105 20180322 720607 00199 LANCASTER COUNTY MC WHIRTER FIELD AIRPORT US SC KLKR 34.717 -80.85 148.1 20090105 20200625 720607 99999 LANCASTER CO MC WHIRTER FLD US SC KLKR 34.723 -80.855 148.1 20180101 20180515 720608 00200 MARION COUNTY AIRPORT US SC KMAO 34.181 -79.335 28.0 20090105 20200625 720608 99999 MARION CO US SC KMAO 34.181 -79.335 28.0 20180108 20180514 720609 00201 LOWCOUNTRY REGIONAL AIRPORT US SC KRBW 32.917 -80.633 31.1 20130101 20200626 720609 99999 WALTERBORO/LOWCOUNTRY RGNL US SC KRBW 32.921 -80.641 29.9 20090105 20121231 720611 00202 SUMTER AIRPORT US SC KSMS 34.0 -80.367 55.2 20090105 20200626 720611 99999 SUMTER US SC KSMS 34.0 -80.367 55.5 20180126 20180515 720612 00203 BEAUFORT COUNTY AIRPORT US SC KARW 32.412 -80.634 38.1 20090120 20200625 720612 99999 BEAUFORT US SC KARW 32.4 -80.633 3.0 20180104 20180322 720613 00204 CONWAY HORRY COUNTY AIRPORT US SC KHYW 33.828 -79.122 10.1 20090510 20200625 720613 99999 CONWAY HORRY CO US SC KHYW 33.829 -79.122 10.4 20180101 20180520 720614 00205 LINCOLN REGIONAL AIRPORT KARL HARDER FIELD US CA KLHM 38.909 -121.351 37.2 20090510 20200625 720615 00206 COLUMBIA AIRPORT US CA KO22 38.033 -120.417 646.2 20090120 20200625 720615 99999 COLUMBIA US CA 38.03 -120.415 645.6 20180104 20180515 720616 00207 BRANSON AIRPORT US MO KBBG 36.533 -93.2 397.2 20090201 20200625 720616 99999 BRANSON AIRPORT US MO KBBG 36.533 -93.2 397.0 20180101 20180515 720617 00208 HOUSTON EXECUTIVE AIRPORT US TX KTME 29.8 -95.9 51.2 20090204 20200626 720617 99999 HUSTON/EXECUTIVE US KTME 29.8 -95.9 50.6 20180128 20180207 720619 99999 FRANCIS E WARREN AFB HELIPORT US 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35.483000000000004 -97.81700000000001 413.0 20090326 20200625 720628 99999 OKLAHOMA CITY/PAGE US OK KRCE 35.483000000000004 -97.81700000000001 413.0 20090312 20180515 720629 00216 JACK BARSTOW AIRPORT US MI KIKW 43.663000000000004 -84.26100000000001 194.2 20090406 20200625 720629 99999 JACK BARSTOW US MI KIKW 43.663000000000004 -84.26100000000001 193.5 20180101 20180515 720631 00217 MARLBORO COUNTY JETPORT H E AVENT FIELD US SC KBBP 34.617 -79.733 45.1 20090420 20200625 720631 99999 MARLBORO CO JETPORT H E AVENT US SC KBBP 34.622 -79.734 44.8 20090403 20180515 720632 00218 SUMMERVILLE AIRPORT US SC KDYB 33.063 -80.279 17.1 20090404 20200626 720632 99999 SUMMERVILLE US SC KDYB 33.063 -80.279 17.1 20180101 20180515 720633 00219 HARTSVILLE REGIONAL AIRPORT US SC KHVS 34.4 -80.117 111.3 20090403 20200625 720633 99999 HARTSVILLE RGNL US SC KHVS 34.403 -80.119 110.9 20180101 20180514 720634 00220 FAIRFIELD COUNTY AIRPORT US SC KFDW 34.315 -81.109 176.2 20090421 20200626 720634 99999 FAIRFIELD CO/WINNSBORO US SC KFDW 34.315 -81.109 175.9 20180107 20180322 720635 00221 H A CLARK MEMORIAL FIELD AIRPORT US AZ KCMR 35.3 -112.2 2035.2 20090508 20200625 720635 99999 H A CLARK MEM FLD US AZ KCMR 35.302 -112.194 2035.5 20180101 20180514 720636 00222 CLINTON MEMORIAL AIRPORT US MO KGLY 38.35 -93.68299999999999 251.2 20090511 20200526 720636 99999 CLINTON MEM US MO KGLY 38.357 -93.684 250.5 20090508 20180515 720637 00223 HOUSTON SOUTHWEST AIRPORT US TX KAXH 29.5 -95.477 21.0 20090601 20200626 720637 99999 HOUSTON SOUTHWEST AIRPORT US TX KAXH 29.506 -95.477 20.7 20180101 20180515 720638 00224 BEND MUNICIPAL AIRPORT US OR KBDN 44.095 -121.2 1055.2 20090524 20200625 720638 99999 BEND MUNI AIRPORT US OR KBDN 44.095 -121.2 1054.6 20180101 20180515 720639 00225 HORSESHOE BAY RESORT AIRPORT US TX KDZB 30.533 -98.367 333.2 20090605 20200625 720641 99999 SCHRIEVER AFB US CO KSHM 38.8 -104.51700000000001 1899.5 20121018 20180217 720642 99999 CHEYENNE MTN AS US CO KCWN 38.75 -104.85 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20180101 20180515 720713 00251 DARKE COUNTY AIRPORT US OH KVES 40.204 -84.53200000000001 307.2 20100308 20200625 720713 99999 DARKE COUNTY AIRPORT US OH KVES 40.204 -84.53200000000001 306.9 20180101 20180305 720714 00252 PAULDING NORTHWEST ATLANTA AIRPORT US GA KPUJ 33.912 -84.941 393.2 20100425 20200626 720714 99999 PAULDING COUNTY AIRPORT US GA KPUJ 33.912 -84.941 393.0 20180107 20180522 720716 99999 LURAY CAVERNS US VA KW45 38.667 -78.501 274.9 20111001 20130430 720717 00442 WEST DELTA 27A US MS KDLP 29.116999999999997 -89.55 36.3 20100503 20200625 720717 99999 WEST DELTA OIL PLATFORM US MS KDLP 29.116999999999997 -89.55 224.0 20100430 20180520 720718 00253 MISSISSIPPI CANYON 311 A US LA KMDJ 28.643 -89.794 224.0 20100503 20200626 720718 99999 MISSISSIPPI CANYON OIL PLATFORM US LA KMDJ 28.65 -89.8 224.0 20100430 20180520 720719 00254 EAST CAMERON 278 OIL PLATFORM US LA KEHC 28.433000000000003 -92.883 224.0 20100503 20180920 720719 99999 EAST CAMERON OIL PLATFORM US LA KEHC 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720736 00265 FULTON COUNTY AIRPORT US IN KRCR 41.066 -86.182 241.1 20100607 20200625 720736 99999 FULTON CO US IN KRCR 41.066 -86.182 240.8 20180103 20180515 720737 00266 CARRINGTON MUNICIPAL AIRPORT US ND K46D 47.451 -99.15100000000001 490.1 20100610 20200625 720737 99999 CARRINGTON MUNI US ND K46D 47.451 -99.15100000000001 489.8 20180207 20180303 720738 00267 THOMASVILLE REGIONAL AIRPORT US GA KTVI 30.901999999999997 -83.881 80.2 20100610 20200626 720738 99999 THOMASVILLE RGNL US GA KTVI 30.901999999999997 -83.881 80.5 20180101 20180515 720739 00268 MINDEN AIRPORT US LA KMNE 32.646 -93.29799999999999 85.0 20110501 20200625 720739 99999 MINDEN-WEBSTER AIRPORT US LA KMNE 32.646 -93.29799999999999 84.7 20180102 20180514 720741 00269 BOULDER MUNICIPAL AIRPORT US NV KBVU 35.946999999999996 -114.861 671.2 20100624 20200625 720741 99999 BOULDER CITY MUNI US NV KBVU 35.946999999999996 -114.861 671.0 20180101 20180515 720742 00270 FAITH RANCH AIRPORT US TX KFTN 28.209 -100.01899999999999 236.2 20100630 20200624 720742 99999 FAITH RANCH AIRPORT US TX KFTN 28.209 -100.01899999999999 235.6 20100618 20180520 720743 00418 SOUTH PADRE ISLAND HELIPORT US TX KSPL 26.066999999999997 -97.15 4.3 20100630 20170103 720743 99999 S PADRE ISLAND HELIPORT US TX KSPL 26.070999999999998 -97.15700000000001 3.0 20100618 20100629 720744 00271 PICKENS COUNTY AIRPORT US SC KLQK 34.817 -82.7 309.1 20100721 20200626 720744 99999 PICKENS CO AIRPORT US SC KLQK 34.81 -82.70299999999999 308.8 20100719 20180322 720745 00272 BOOMVANG SPUR OIL PLATFORM US KVAF 27.35 -94.633 101.2 20100727 20200626 720745 99999 BOOMVANG HELIPORT / OIL PLATFORM US KVAF 27.35 -94.633 101.0 20100722 20180520 720747 99999 ELK MOUNTAIN US WY KEHY 41.733000000000004 -106.46700000000001 2225.0 20100914 20200624 720749 24255 WHIDBEY ISLAND NAS US WA KNUW 48.35 -122.667 14.3 20050101 20200625 720753 99999 KEN JERNSTEDT US OR 45.672 -121.536 192.3 20060112 20070516 720759 99999 RAVALLI CO US MT K6S5 46.251000000000005 -114.125 1110.1 20190410 20200624 720768 00274 LEE COUNTY AIRPORT US VA K0VG 36.654 -83.21799999999999 430.1 20100921 20200625 720768 99999 LEE CO US VA K0VG 36.654 -83.21799999999999 430.1 20180101 20180515 720769 00275 GEORGE M BRYAN AIRPORT US MS KSTF 33.433 -88.84899999999999 101.2 20130101 20200626 720769 99999 GEORGE M BRYAN US MS KSTF 33.433 -88.84899999999999 101.2 20100923 20121231 720771 00276 COLEMAN MUNICIPAL AIRPORT US TX KCOM 31.840999999999998 -99.404 517.3 20100930 20200625 720771 99999 COLEMAN MUNI US TX KCOM 31.840999999999998 -99.404 517.2 20180106 20180515 720772 99999 MORIARTY AIRPORT US NM 34.986 -106.009 1889.5 20101013 20130430 720773 99999 COURTLAND AIRPORT US AL 34.659 -87.34899999999999 179.2 20101018 20130430 720775 99999 ELLINGTON US TN KLUG 35.507 -86.804 218.5 20180403 20200624 720776 99999 HESLER NOBLE FLD US MS KLUL 31.673000000000002 -89.17200000000001 72.5 20121118 20200624 720777 99999 LAWRENCEVILLE BRUNSWICK MUNI US VA KLVL 36.773 -77.794 100.3 20140625 20200624 720779 00461 MEXIA LIMESTONE COUNTY AIRPORT US TX KLXY 31.641 -96.514 166.1 20130829 20200625 720779 99999 MEXIA LIMESTONE CO US TX KLXY 31.64 -96.515 165.8 20180109 20180211 720781 99999 LYONS RICE CO MUNI US KS KLYO 38.343 -98.227 515.4 20180719 20200624 720787 00278 JOHN BELL WILLIAMS AIRPORT US MS KJVW 32.304 -90.411 75.3 20110402 20200625 720787 99999 JOHN BELL WILLIAMS AIRPORT US MS KJVW 32.304 -90.411 75.3 20180102 20180103 720806 99999 PANOLA CO SHARPE FLD US TX K4F2 32.176 -94.29899999999999 75.6 20190920 20200624 720815 99999 PUTNAM CO US IN K4I7 39.63 -86.814 256.6 20140313 20170222 720835 99999 MADELINE ISLAND US WI K4R5 46.788999999999994 -90.759 197.8 20161111 20200624 720839 00279 RENO STEAD AIRPORT US NV KRTS 39.667 -119.876 1540.2 20110921 20200625 720839 99999 RENO / STEAD AIRPORT US NV KRTS 39.668 -119.876 1539.2 20180101 20180515 720852 00280 MEADOW LAKE AIRPORT US CO KFLY 38.946 -104.57 2095.2 20101201 20200625 720852 99999 MEADOW LAKE AIRPORT US CO KFLY 38.946 -104.57 2095.2 20180110 20180515 720853 00281 ROLLA MUNICIPAL AIRPORT US ND K06D 48.88399999999999 -99.62100000000001 555.0 20101118 20200625 720853 99999 ROLLA MUNI US ND K06D 48.88399999999999 -99.62100000000001 555.3 20180104 20180322 720854 00282 BEACH AIRPORT US ND K20U 46.925 -103.98200000000001 840.0 20101118 20200625 720854 99999 BEACH US ND K20U 46.925 -103.98200000000001 840.0 20180101 20180515 720855 00283 CAVALIER MUNICIPAL AIRPORT US ND K2C8 48.784 -97.632 272.2 20101118 20200625 720855 99999 CAVALIER MUNI US ND K2C8 48.784 -97.632 271.9 20180101 20180515 720856 00284 SCOTTSBORO MUNICIPAL AIRPORT WORD FIELD US AL K4A6 34.689 -86.006 198.1 20101130 20200625 720856 99999 SCOTTSBORO MUNI WORD FLD US AL K4A6 34.689 -86.006 198.1 20180101 20180430 720858 00285 CANDO MUNICIPAL AIRPORT US ND K9D7 48.48 -99.236 450.2 20101118 20200625 720859 00286 BLACK RIVER FALLS AREA AIRPORT US WI KBCK 44.251000000000005 -90.855 255.1 20101118 20200626 720861 00287 CROSBY MUNICIPAL AIRPORT US ND KD50 48.928999999999995 -103.29700000000001 594.1 20101118 20200625 720861 99999 CROSBY MUNI US ND KD50 48.928999999999995 -103.29700000000001 594.4 20180101 20180515 720862 99999 ROBERTSON FLD US ND 48.753 -98.39299999999999 490.1 20101118 20130430 720863 00289 TIOGA MUNICIPAL AIRPORT US ND KD60 48.381 -102.898 691.0 20101118 20200625 720863 99999 TIOGA MUNI US ND KD60 48.381 -102.898 690.7 20180102 20180322 720864 00290 TARBORO EDGECOMBE AIRPORT US NC KETC 35.937 -77.547 16.2 20101122 20200625 720865 00291 HUTSON FIELD AIRPORT US ND KGAF 48.405 -97.37100000000001 251.2 20101118 20200625 720865 99999 HUTSON FLD US ND KGAF 48.405 -97.37100000000001 251.2 20180101 20180515 720866 00292 MERCER COUNTY REGIONAL AIRPORT US ND KHZE 47.29 -101.581 553.2 20101118 20200625 720866 99999 MERCER CO RGNL US ND KHZE 47.29 -101.581 552.6 20180101 20180515 720867 00293 RUGBY MUNICIPAL AIRPORT US ND KRUG 48.39 -100.024 472.1 20101210 20200625 720867 99999 RUGBY MUNI US ND KRUG 48.39 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720902 00298 DUPONT LAPEER AIRPORT US MI KD95 43.067 -83.26700000000001 254.2 20130101 20200625 720902 99999 DUPONT LAPEER US MI KD95 43.067 -83.272 254.2 20120124 20121231 720903 00441 DAVIESS COUNTY AIRPORT US IN KDCY 38.7 -87.13 143.3 20130826 20200625 720903 99999 DAVIESS CO US IN KDCY 38.7 -87.13 144.2 20180101 20180515 720904 00299 DELAND MUNICIPAL AIRPORT SIDNEY H TAYLOR FIELD US FL KDED 29.066999999999997 -81.283 24.1 20120209 20200625 720904 99999 DELAND MUNI SIDNEY H TAYLOR FLD US FL KDED 29.066999999999997 -81.28399999999999 24.1 20180101 20180515 720907 99999 CAMPBELL CO US TN KJAU 36.335 -84.162 359.7 20150608 20200624 720909 00300 STANLEY MUNICIPAL AIRPORT US ND K08D 48.301 -102.406 684.3 20101207 20200626 720909 99999 STANLEY MUNI US ND K08D 48.301 -102.406 684.3 20180101 20180515 720911 00301 BARNES COUNTY MUNICIPAL AIRPORT US ND KBAC 46.942 -98.01799999999999 427.0 20101215 20200625 720911 99999 BARNES CO MUNI US ND KBAC 46.941 -98.01799999999999 426.7 20180105 20180322 720912 00302 VIOSCA KNOLL 768 OIL PLATFORM US AL KVOA 29.233 -87.78299999999999 53.0 20110112 20200625 720912 99999 VIOSCA KNOLL 768 US AL KVOA 29.233 -87.78299999999999 53.0 20110105 20180207 720913 00303 SALSA US LA KGHB 27.833000000000002 -91.98299999999999 30.2 20110113 20200626 720913 99999 GARDEN BANKS 172 US LA KGHB 27.833000000000002 -91.98299999999999 30.0 20101103 20180517 720914 00304 EUGENE ISLAND OIL PLATFORM US LA KEIR 28.633000000000003 -91.48299999999999 28.0 20110113 20200625 720914 99999 EUGENE I 2150ILP US LA KEIR 28.633000000000003 -91.48299999999999 28.0 20101101 20180515 720915 00305 EAST CAMERON 47 OIL PLATFORM US LA KCMB 29.433000000000003 -92.98299999999999 29.3 20110113 20120803 720915 99999 E CAMERON 47JP US LA KCMB 29.433000000000003 -92.98299999999999 29.0 20101101 20110112 720916 00453 GREEN CANYON 338 US LA KGRY 27.63 -90.45 58.2 20110113 20200626 720916 99999 GREEN CANYON 338 US LA KGRY 27.633000000000003 -90.45 58.0 20101105 20180517 720917 00306 HIGH ISLAND 179 OIL PLATFORM US TX KXIH 29.183000000000003 -94.51700000000001 75.3 20110113 20200328 720917 99999 HIGH ISLAND 179A US LA KXIH 29.183000000000003 -94.51700000000001 75.0 20101122 20180520 720918 00307 MAIN PASS 140B US LA KMIS 29.296 -88.84200000000001 25.0 20110113 20200622 720918 99999 MISSION US SD KMIS 43.033 -100.617 789.0 20110105 20180520 720919 00308 NORTH PADRE ISLAND US TX KOPM 26.833000000000002 -96.93299999999999 25.3 20110113 20141031 720919 99999 N PADRE 975 US TX KOPM 26.833000000000002 -96.93299999999999 25.0 20101101 20110112 720921 00309 WEST CAMERON 368 A OIL PLATFORM US TX KCRH 28.916999999999998 -93.3 34.1 20110113 20151014 720921 99999 W CAMERON 368A US TX KCRH 28.916999999999998 -93.3 34.0 20101101 20110112 720922 99999 ST GEORGE MUNI US UT KDXZ 37.036 -113.51 879.0 20110113 20111214 720923 00310 BOUNDARY COUNTY AIRPORT US ID K65S 48.726000000000006 -116.295 711.1 20110118 20200625 720923 99999 BOUNDARY CO US ID K65S 48.726000000000006 -116.295 711.1 20180104 20180322 720924 00311 ROSCOE TURNER AIRPORT US MS KCRX 34.915 -88.604 130.2 20110125 20200625 720924 99999 ROSCOE TURNER AIRPORT US MS KCRX 34.915 -88.604 129.5 20110118 20180520 720925 00312 ATLANTIS OIL PLATFORM US LA KATP 27.2 -90.03299999999999 50.3 20110310 20200625 720925 99999 ATLANTIS US LA KATP 27.2 -90.03299999999999 50.0 20110104 20180524 720926 00313 BEAUMONT MUNICIPAL AIRPORT US TX KBMT 30.070999999999998 -94.21600000000001 10.1 20110310 20200625 720926 99999 BEAUMONT MUNI US TX KBMT 30.070999999999998 -94.21600000000001 9.8 20180207 20180515 720927 00314 FLETCHER FIELD AIRPORT US MS KCKM 34.3 -90.512 53.0 20110311 20200626 720927 99999 FLETCHER FLD US MS KCKM 34.3 -90.512 52.7 20180101 20180515 720928 00315 DELAWARE MUNICIPAL JIM MOORE FIELD AIRPORT US OH KDLZ 40.28 -83.115 288.0 20110315 20200625 720928 99999 DELAWARE MUNI US OH KDLZ 40.28 -83.115 288.0 20180206 20180303 720929 00316 CUMERLAND MUNICIPAL AIRPORT US WI KUBE 45.506 -91.98100000000001 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KSBO 32.609 -82.37 100.3 20110704 20200626 720951 99999 EMANUEL CO US GA KSBO 32.609 -82.37 100.0 20180101 20180516 720952 99999 GRAY BUTTE FLD US CA KGXA 34.564 -117.675 920.5 20110825 20200624 720953 00331 MAIN PASS 289 C OIL PLATFORM US LA KVKY 29.248 -88.441 115.2 20110824 20200625 720953 99999 MAIN PASS 289C OIL PLATFORM US LA KVKY 29.248 -88.441 115.0 20110512 20180515 720954 00456 ALAMINOS CANYON US TX KHHV 26.933000000000003 -94.68299999999999 25.3 20110824 20200626 720954 99999 ALAMINOS CANYON 25 OIL PLATFORM US KHHV 26.939 -94.689 90.0 20110724 20180515 720955 99999 SOUTH TIMBALLER 301B OIL PLATFORM US KSTZ 28.16 -90.666 89.0 20110825 20130409 720956 00332 VERMILION 331 OIL PLATFORM US KVQT 28.27 -92.264 90.2 20110825 20200503 720956 99999 VERMILLON 331A US KVQT 28.27 -92.264 90.0 20110610 20180515 720957 00333 PORT FORCHON HELIPORT US LA KXPY 29.116999999999997 -90.2 30.2 20111001 20200625 720957 99999 FOURCHON HELIPORT US LA KXPY 29.123 -90.20200000000001 30.0 20180129 20180515 720958 99999 TUCKER GUTHRIE MEM US KY 36.859 -83.35799999999999 472.7 20111021 20130430 720959 99999 BUTLER MUNI US GA 32.568000000000005 -84.251 203.3 20111021 20121031 720961 00336 LOGANSPORT CASS COUNTY AIRPORT US IN KGGP 40.711 -86.375 225.3 20111028 20200625 720961 99999 LOGANSPORT CASS CO US IN KGGP 40.711 -86.375 224.9 20180101 20180515 720962 00337 HEART OF GEORGIA REGIONAL AIRPORT US GA KEZM 32.214 -83.12799999999999 93.3 20111102 20200626 720962 99999 HEART OF GEORGIA RGNL US GA KEZM 32.214 -83.12799999999999 92.7 20111021 20180520 720963 99999 MCGREGOR RANGE BASE CAMP US NM KM63 32.079 -106.15299999999999 1246.0 20100429 20190106 720964 00338 TYNDALL DRONE RUNWAY US FL KTDR 30.033 -85.53299999999999 5.2 20120125 20200625 720964 99999 TYNDALL DRONE RUNWAY US FL KTDR 30.033 -85.53299999999999 4.6 20180129 20180207 720965 13910 DYESS AIR FORCE BASE US TX KDYS 32.433 -99.85 545.0 20050103 20200625 720965 99999 DYESS AFB/ABILENE US TX KDYS 32.417 -99.85 545.0 20180101 20180404 720966 00339 GRIFFIN SPALDING COUNTY AIRPORT US GA K6A2 33.227 -84.275 292.3 20111118 20200625 720966 99999 GRIFFIN SPALDING CO US GA K6A2 33.227 -84.275 292.0 20180208 20180303 720967 00457 FALSE RIVER REGIONAL AIRPORT US LA KHZR 30.718000000000004 -91.479 12.2 20111221 20200625 720967 99999 FALSE RIVER RGNL US LA KHZR 30.718000000000004 -91.479 11.9 20180106 20180516 720968 00340 SILER CITY MUNICIPAL AIRPORT US NC K5W8 35.704 -79.50399999999999 187.2 20111215 20200624 720969 00341 TEN SLEEP US WY KJPD 44.15 -107.167 2741.1 20120130 20121213 720969 99999 TEN SLEEP US WY KJPD 44.15 -107.167 2741.0 20111201 20120129 720971 00342 SOUTH PASS US WY KFWZ 42.516999999999996 -108.78299999999999 2588.1 20120130 20200625 720971 99999 SOUTH PASS US WY KFWZ 42.516999999999996 -108.78299999999999 2588.0 20111201 20180520 720972 99999 ST MARY HOSPITAL HELIPORT US MN 44.016999999999996 -92.48299999999999 355.0 20111201 20200624 720974 00344 WINCHESTER MUNICIPAL AIRPORT US TN KBGF 35.178000000000004 -86.066 298.1 20120209 20200625 720974 99999 WINCHESTER MUNI US TN KBGF 35.178000000000004 -86.066 298.4 20180105 20180516 720975 99999 HAGLER AAF / CAMP SHELBY MISSISSIPPI USA US MS KSLJ 31.174 -89.191 85.3 20110512 20160616 720976 00345 LORDSBURG MUNICIPAL AIRPORT US NM KLSB 32.333 -108.691 1304.2 20120215 20180226 720977 99999 ALPHA (BURNS) US WY 41.333 -104.26700000000001 1667.3 20130226 20200606 720978 99999 BRAVO (PINE BLUFFS) US NE 41.516999999999996 -104.0 1607.2 20130226 20200624 720979 99999 CHARLIE (GERING) US NE 41.583 -103.667 1371.0 20130226 20200624 720981 99999 DELTA (KIMBALL) US NE 41.367 -103.8 1546.0 20130731 20200601 720982 99999 ECHO (PINE BLUFFS) US NE 41.117 -103.98299999999999 1609.3 20131218 20200605 720983 99999 FOXTROT (DIX) US NE 41.367 -103.48299999999999 1453.0 20141215 20200624 720984 99999 GOLF (SIDNEY) US NE 41.217 -103.1 1333.5 20140514 20200624 720985 99999 HOTEL (GURLEY) US NE 41.317 -102.833 1262.8 20130816 20200624 720986 99999 INDIA (SIDNEY) US NE 41.05 -102.867 1293.0 20130828 20200624 720987 99999 JULIET (PEETZ) US CO K1JW 40.967 -103.2 1380.1 20130829 20200624 720988 99999 KILO (DIX) US NE K1KW 41.133 -103.48299999999999 1439.3 20141215 20200624 720989 99999 LIMA (GROVER) US CO K1LW 40.917 -103.7 1518.8 20141215 20200204 720991 99999 MIKE (HAXTUN) US CO K1MW 40.7 -103.48299999999999 1336.2 20120702 20200624 720992 99999 NOVEMBER (GROVER) US CO K1NW 40.633 -103.833 1459.1 20141215 20200624 720993 99999 OSCAR (GROVER) US CO K1OW 40.883 -104.0 1649.0 20130226 20200624 720994 99999 ALPHA (RAYNESFORD) US MT K1AM 47.283 -110.8 1219.2 20131025 20200624 720995 99999 BRAVO (GEYSER) US MT K1BM 47.283 -110.367 1234.4 20120920 20200624 720996 99999 CHARLIE (STANFORD) US MT K1CM 47.1 -110.167 1336.6 20120601 20200624 720997 99999 DELTA (DENTON) US MT K1DM 47.383 -109.81700000000001 1093.3 20131025 20200624 720998 99999 ECHO (WINIFRED) US MT K1EM 47.45 -109.417 1116.5 20120717 20200618 720999 99999 FOXTROT (AUGUSTA) US MT K1FM 47.6 -112.31700000000001 1343.3 20120614 20200624 721001 99999 GOLF (SIMMS) US MT K1GM 47.333 -112.1 1310.6 20131025 20200624 721002 99999 HOTEL (FAIRFIELD) US MT K1HM 47.7 -111.95 1178.7 20130625 20200624 721003 99999 INDIA (ULM) US MT K1IM 47.317 -111.46700000000001 1108.0 20120920 20200624 721004 99999 JULIE (POWER) US MT K1JM 47.75 -111.55 1152.1 20120504 20200624 721005 99999 KILO (HARLOWTOWN) US MT K1KM 46.45 -109.8 1329.8 20120921 20200624 721006 99999 LIMA (JUDITH GAP) US MT K1LM 46.7 -109.73299999999999 1414.3 20120607 20200624 721007 99999 MIKE (MOORE) US MT K1MM 47.016999999999996 -109.633 1256.1 20120614 20200624 721008 99999 NOVEMBER (GRASS RANGE) US MT K1NM 47.067 -109.03299999999999 1161.3 20120619 20200624 721009 99999 OSCAR (ROY) US MT K1OM 47.333 -108.93299999999999 1086.0 20131025 20200624 721011 99999 ALPHA (BALFOUR) US ND 47.967 -100.581 482.8 20141125 20200624 721012 99999 BRAVO (VELVA) US ND 47.909 -100.927 588.6 20121030 20200624 721013 99999 CHARLIE (RUSO) US ND 47.714 -101.01 598.6 20120926 20200624 721014 99999 DELTA (MAX) US ND 47.795 -101.29899999999999 631.6 20121031 20200624 721015 99999 ECHO (RYDER) US ND 47.751000000000005 -101.67399999999999 640.7 20121101 20200624 721016 99999 FOXTROT (RYDER 2) US ND 47.896 -101.67399999999999 619.4 20120821 20200624 721017 99999 GOLF (PLAZA) US ND 48.12 -101.96 643.7 20121024 20200624 721018 99999 HOTEL (PARSHALL) US ND 47.974 -102.223 578.2 20120821 20200624 721019 99999 INDIA (PALERMO) US ND 48.345 -102.304 678.2 20120823 20200624 721021 99999 JULIET (DONNYBROOK) US ND 48.412 -101.89200000000001 670.3 20121002 20200624 721022 99999 KILO (DONNYBROOK 2) US ND 48.551 -102.12 693.4 20120927 20191115 721023 99999 LIMA (BOWBELLS) US ND 48.788999999999994 -102.26899999999999 601.1 20121023 20180912 721024 99999 MIKE (KENMARE) US ND 48.673 -101.882 569.4 20120925 20200624 721025 99999 NOVEMBER (MOHALL) US ND 48.76 -101.59200000000001 516.0 20121023 20200624 721026 99999 OSCAR (ANTLER) US ND 48.825 -101.28299999999999 466.3 20120926 20200624 721027 99999 TRINITY CENTER US CA 40.983000000000004 -122.694 728.5 20120302 20130430 721028 99999 MIDDLEBURY STATE AIRPORT US VT 43.985 -73.095 149.4 20120227 20200624 721029 00347 LA PORTE MUNICIPAL AIRPORT US IN KPPO 41.571999999999996 -86.735 247.2 20120402 20200625 721029 99999 LA PORTE MUNI US IN KPPO 41.571999999999996 -86.735 247.5 20180101 20180109 721031 00348 TULLAHOMA REGIONAL AIRPORT WILLIAM NORTHERN FIELD US TN KTHA 35.38 -86.24600000000001 330.1 20120408 20200625 721031 99999 TULLAHOMA RGNL WM NORTHERN FLD US TN KTHA 35.38 -86.24600000000001 329.8 20180101 20180515 721032 99999 ANDREWS CO US TX 32.330999999999996 -102.53 967.4 20120417 20130430 721033 00350 FITZGERALD MUNICIPAL AIRPORT US GA KFZG 31.684 -83.27 111.3 20120620 20200625 721033 99999 FITZGERALD MUNI US GA KFZG 31.684 -83.27 111.3 20180101 20180515 721034 00351 CAMERON MUNICIPAL AIRPORT US TX KT35 30.879 -96.971 123.1 20120501 20200625 721035 00352 HAZLEHURST AIRPORT US GA KAZE 31.885 -82.647 78.0 20120705 20200625 721035 99999 HAZLEHURST US GA KAZE 31.885 -82.647 77.7 20180101 20180516 721036 00353 BOYSEN THERMOPOL US WY KTBX 43.467 -108.389 2225.0 20120806 20200625 721036 99999 BOYSEN US WY KTBX 43.467 -108.238 2225.0 20120503 20120713 721037 99999 KITTY HAWK ONE HELIPORT US NC 36.071999999999996 -75.694 3.0 20120503 20180724 721038 99999 JORDAN FLD ARPT US NC 35.238 -79.99600000000001 182.9 20120503 20200323 721041 99999 MARCO ISLAND US FL KMKY 25.995 -81.673 1.5 20120726 20200624 721042 00486 ZEPHYRHILLS MUNICIPAL AIRPORT US FL KZPH 28.228 -82.156 27.4 20120813 20200625 721042 99999 ZEPHYRHILLS MUNI US FL KZPH 28.228 -82.156 27.4 20180103 20180515 721043 99999 ATHENS MUNI US TX KF44 32.164 -95.82799999999999 135.3 20120813 20200624 721044 00448 RALPH M HALL ROCKWALL MUNICIPAL AIRPORT US TX KF46 32.931 -96.435 175.3 20120813 20200625 721044 99999 ROCKWALL MUNI US TX KF46 32.931 -96.435 175.0 20180101 20180516 721045 00354 MIDWEST NATIONAL AIR CENTER AIRPORT US MO KGPH 39.332 -94.31 237.1 20120821 20200625 721045 99999 MIDWEST NAT AIR CENTER AIRPORT US MO KGPH 39.333 -94.31 236.8 20120818 20180515 721046 00460 LOUISIANA REGIONAL AIRPORT US LA KREG 30.173000000000002 -90.941 4.6 20190101 20200625 721046 99999 LOUISIANA RGNL ARPT / GONZALES US LA KREG 30.166999999999998 -90.93299999999999 4.3 20120829 20181231 721048 00471 PRESIDIO LELY INTERNATIONAL AIRPORT US TX KPRS 29.634 -104.361 896.1 20130731 20200625 721048 99999 PRESIDIO LELY INTL ARPT US TX KPRS 29.634 -104.36200000000001 893.7 20180101 20180516 722003 54930 STANTON AIRFIELD US MN KSYN 44.476000000000006 -93.016 280.4 20060101 20200625 722003 99999 STANTON AIRFIELD US MN KSYN 44.483000000000004 -93.01700000000001 280.0 19880106 20051231 722004 54922 HARRY STERN AIRPORT US ND KBWP 46.244 -96.60700000000001 295.1 20060101 20200625 722004 99999 HARRY STERN US ND KBWP 46.25 -96.6 295.0 20050719 20051231 722005 99999 COFFEY CO US KS KUKL 38.302 -95.725 357.5 20050427 20200624 722006 54926 QUENTIN AANENSON FIELD AIRPORT US MN KLYV 43.621 -96.21600000000001 436.2 20060101 20200625 722006 99999 LUVERNE QUENTIN AANE US MN KLYV 43.617 -96.21700000000001 436.0 20050208 20051231 722007 54828 TUSCOLA AREA AIRPORT US MI KCFS 43.458999999999996 -83.446 213.7 20050201 20200625 722008 12995 MUSTANG BEACH AIRPORT US TX KRAS 27.811999999999998 -97.089 1.5 20060101 20200626 722008 99999 MUSTANG BEACH US TX KRAS 27.833000000000002 -97.06700000000001 2.0 20050217 20051231 722010 12836 KEY WEST INTERNATIONAL AIRPORT US FL KEYW 24.557 -81.755 0.3 19730101 20200625 722011 92813 KISSIMMEE GATEWAY AIRPORT US FL KISM 28.29 -81.437 25.0 20060101 20200625 722011 99999 KISSIMMEE GATEWAY US FL KISM 28.29 -81.437 25.0 20020423 20051231 722012 92817 THE VILLAGES US FL KVVG 28.95 -81.96700000000001 27.1 20050101 20180215 722012 99999 THE VILLAGES US FL KVVG 28.967 -81.96700000000001 27.0 20020423 20041231 722013 99999 KEY WEST / BOCA CHICA(NEXRAD) US FL KBYX 24.6 -81.7 3.0 19880105 19880704 722014 12818 HERNANDO COUNTY AIRPORT US FL KBKV 28.474 -82.454 23.5 20060101 20200626 722014 99999 HERNANDO CO US FL KBKV 28.474 -82.455 23.0 19990114 20051231 722015 12850 KEY WEST NAS US FL KNQX 24.583000000000002 -81.683 1.8 19730101 20200625 722016 12896 THE FL KEYS MARATHON ARPT US FL KMTH 24.726 -81.05199999999999 2.4 20060101 20200625 722016 99999 FLORIDA KEYS MARATHO US FL KMTH 24.733 -81.05 2.0 19880318 20051231 722017 12876 WINTER HAVEN US FL KGIF 28.061999999999998 -81.75399999999999 44.5 20060101 20100801 722017 99999 WINTER HAVEN US FL KGIF 28.05 -81.75 44.0 19990114 20010516 722018 99999 CLOVIS(NEXRAD) US NM KFDX 34.633 -103.633 1417.0 20000101 20010516 722019 99999 ISLAMORADA COAST GUARD STATION US FL 24.95 -80.58 1.0 19750916 19920422 722020 12839 MIAMI INTERNATIONAL AIRPORT US FL KMIA 25.788 -80.317 8.8 19730101 20200625 722021 92816 VANDENBERG AIRPORT US FL KVDF 28.014 -82.345 6.7 20050101 20200626 722021 99999 VANDENBERG US FL KVDF 28.017 -82.35 7.0 20020424 20041231 722022 12803 BOCA RATON AIRPORT US FL KBCT 26.378 -80.108 4.0 20060101 20200625 722022 99999 BOCA RATON US FL KBCT 26.378 -80.108 4.0 20020423 20051231 722024 12882 OPA LOCKA AIRPORT US FL KOPF 25.906999999999996 -80.28 3.1 20060101 20200625 722024 99999 OPA LOCKA US FL KOPF 25.9 -80.283 2.0 19621028 20051231 722025 12849 FORT LAUDERDALE HOL US FL KFLL 26.072 -80.154 3.4 19730101 20100731 722026 12826 HOMESTEAD AFB AIRPORT US FL KHST 25.483 -80.383 1.5 19430201 20200625 722026 99999 HOMESTEAD ARB US FL KHST 25.483 -80.383 2.0 20000101 20041231 722027 99999 MIAMI BEACH COAST GUARD STATION US FL 25.77 -80.13 1.0 19830713 19840103 722028 99999 FOWEY ROCKS COAST GUARD STATION US FL 25.58 -80.1 1.0 19800419 19860831 722029 12888 KENDALL-TAMIAMI EXEC ARPT US FL KTMB 25.648000000000003 -80.433 3.1 20060101 20200625 722029 99999 KENDALL TAMIAMI EXEC US FL KTMB 25.65 -80.433 2.0 19760620 20051231 722030 12844 PALM BEACH INTERNATIONAL AIRPORT US FL KPBI 26.685 -80.09899999999999 5.8 19430206 20200625 722031 63839 FOLSOM FIELD AP US AL K3A1 34.269 -86.85799999999999 293.5 20060101 20200625 722031 99999 FOLSOM FLD US AL K3A1 34.266999999999996 -86.85 295.0 19730101 20041231 722032 54916 WASECA MUNICIPAL AIRPORT US MN KACQ 44.074 -93.553 343.2 20060101 20200625 722032 99999 WASECA MUNI US MN KACQ 44.067 -93.55 343.0 20040713 20051231 722033 04999 GRANITE FALLS MUNI ARPT/LENZEN-ROE MEMORIAL FIELD US MN KGDB 44.753 -95.556 319.1 20060101 20200625 722033 99999 GRANITE FALLS MUNI US MN KGDB 44.75 -95.55 319.0 20040525 20051231 722034 12812 CHARLOTTE COUNTY AIRPORT US FL KPGD 26.916999999999998 -81.991 7.6 20060101 20200625 722034 99999 CHARLOTTE CO US FL KPGD 26.92 -81.98299999999999 8.0 19990114 20051231 722035 99999 CLEWISTON US FL 26.75 -80.95 6.0 19730101 19780511 722036 99999 LAKE WORTH INLET US FL 26.77 -80.05 1.0 19750911 19871013 722037 92809 NORTH PERRY AIRPORT US FL KHWO 25.999000000000002 -80.241 2.7 20060101 20200625 722037 99999 NORTH PERRY US FL KHWO 26.0 -80.233 3.0 19990904 20051231 722038 12897 NAPLES MUNICIPAL AIRPORT US FL KAPF 26.155 -81.775 2.7 19990101 20200625 722038 99999 NAPLES MUNI US FL KAPF 26.153000000000002 -81.775 2.0 19431229 19981231 722039 12885 FT LAUDER EXECUTIVE ARPT US FL KFXE 26.197 -80.171 4.3 20060101 20200625 722039 99999 FORT LAUDERDALE EXEC US FL KFXE 26.2 -80.167 4.0 19840908 20051231 722040 12838 MELBOURNE INTL AP US FL KMLB 28.101 -80.64399999999999 8.2 19741113 20200625 722040 99999 MELBOURNE REGIONAL US FL KMLB 28.1 -80.65 11.0 20000101 20031231 722041 12993 SOUTH LAFOURCHE AIRPORT US LA KGAO 29.445 -90.26100000000001 0.3 20060119 20200625 722041 99999 SOUTH LAFORCHE US LA KGAO 29.45 -90.26700000000001 0.0 19730101 20051105 722042 53978 WOOD COUNTY AIRPORT MINEOLA US TX KJDD 32.742 -95.49600000000001 132.3 20060101 20200625 722042 99999 WOOD CO US TX KJDD 32.741 -95.49600000000001 132.0 20040525 20051231 722043 03738 ROCKINGHAM AIRPORT US NC KRCZ 34.891 -79.759 109.1 20050101 20051231 722043 99999 ROCKINGHAM ROCKINGHAM-HAMLET AI US 34.89 -79.76 109.0 20040525 20060412 722044 53930 ADA MUNICIPAL AIRPORT US OK KADH 34.804 -96.671 309.7 20060101 20200625 722044 99999 ADA MUNI US OK KADH 34.8 -96.667 310.0 20040319 20051231 722045 12843 VERO BEACH MUNI US FL KVRB 27.653000000000002 -80.243 8.5 19730101 20100801 722046 12898 SPACE COAST REGIONAL AIRPORT US FL KTIX 28.517 -80.8 10.7 20060101 20200625 722046 99999 SPACE COAST RGNL US FL KTIX 28.517 -80.8 10.0 19730420 20051231 722047 99999 FORT PIERCE COAST GUARD STATION US FL 27.47 -80.3 1.0 19750916 19900121 722048 99999 JUPITER INLET COAST GUARD STATIO US 27.03 -80.12 1.0 19760228 19780914 722049 92805 POMPANO BEACH AIRPARK ARPT US FL KPMP 26.25 -80.108 6.4 20060101 20200625 722049 99999 POMPANO BEACH AIRPAR US FL KPMP 26.25 -80.117 6.0 19880621 20051231 722050 12815 ORLANDO INTERNATIONAL AIRPORT US FL KMCO 28.434 -81.325 27.4 19520507 20200625 722051 12841 ATOKA MUNI US OK KORL 28.545 -81.333 34.1 19410616 19900206 722051 53932 ATOKA MUNICIPAL AIRPORT US OK KAQR 34.398 -96.148 179.8 20050101 20200625 722051 99999 ATOKA MUNI US OK KAQR 34.398 -96.148 180.0 20040713 20041231 722052 53933 ALVA REGIONAL AIRPORT US OK KAVK 36.773 -98.67 449.3 20060101 20200625 722052 99999 ALVA RGNL US OK KAVK 36.766999999999996 -98.667 449.0 20040713 20051231 722053 12841 EXECUTIVE AIRPORT US FL KORL 28.545 -81.333 32.9 19900208 20200625 722053 99999 EXECUTIVE US FL KORL 28.55 -81.333 34.0 20000101 20031231 722054 53959 WEST MEMPHIS MUNICIPAL APT US AR KAWM 35.135 -90.234 65.2 20050101 20200626 722054 99999 WEST MEMPHIS MUNI US AR KAWM 35.135 -90.234 65.0 20040319 20041231 722055 12861 OCALA INTERNATIONAL AIRPORT-JIM TAYLOR FIELD US FL KOCF 29.166999999999998 -82.23299999999999 26.5 20060101 20200625 722055 99999 OCALA INTL J TAYLOR US FL KOCF 29.166999999999998 -82.21700000000001 27.0 19440107 20051231 722056 12834 DAYTONA BEACH INTL US FL KDAB 29.183000000000003 -81.048 12.5 19730101 20100801 722057 12854 ORLANDO SANFORD AIRPORT US FL KSFB 28.78 -81.244 16.8 19730101 20200625 722057 99999 ORLANDO SANFORD US FL KSFB 28.767 -81.233 17.0 20000101 20031231 722058 99999 PONCE DE LEON INLET US FL 29.07 -80.92 3.0 19750911 19830324 722059 04866 BURLINGTON MUNICIPAL ARPT US WI KBUU 42.69 -88.304 237.4 20060101 20200625 722059 99999 BURLINGTON MUNI US WI KBUU 42.683 -88.3 237.0 19450801 20051231 722060 13889 JACKSONVILLE INTERNATIONAL AIRPORT US FL KJAX 30.495 -81.694 7.9 19480101 20200625 722061 03038 COPPER MOUNTAIN US CO KCCU 39.467 -106.15 3680.2 20060101 20200625 722061 99999 COPPER MOUNTAIN RE US CO KCCU 39.467 -106.15 3680.0 20040713 20051231 722062 63842 DOUGLAS MUNICIPAL AIRPORT US GA KDQH 31.476999999999997 -82.861 78.3 20060101 20200625 722062 99999 DOUGLAS MUNI US GA KDQH 31.478 -82.86 78.0 20040510 20051231 722064 99999 PORT RICHEY (ASOS) US FL 28.35 -82.617 12.0 19961220 19990111 722065 93837 JACKSONVILLE NAS US FL KNIP 30.233 -81.667 6.1 19730101 20200625 722066 03853 MAYPORT NAF US FL KNRB 30.4 -81.417 4.9 19730101 20200625 722067 63823 CECIL FIELD AIRPORT US FL KVQQ 30.219 -81.876 24.7 20060101 20200626 722067 93832 CECIL FLD US FL KNZC 30.217 -81.883 24.4 19730101 19991231 722067 99999 CECIL FLD US FL KVQQ 30.219 -81.877 25.0 20011113 20051231 722068 53860 JACKSONVILLE/CRAIG US FL KCRG 30.336 -81.515 12.5 20040101 20100801 722068 99999 JACKSONVILLE/CRAIG US FL 30.333000000000002 -81.517 12.0 19740822 20031231 722069 53853 DESTIN-FT.WALTON BEACH APT US FL KDTS 30.4 -86.47200000000001 6.7 20060101 20200625 722069 99999 DESTIN FT. WALTON US FL KDTS 30.4 -86.471 7.0 19970902 20051231 722070 03822 SAVANNAH/HILTON HEAD INTL AIRPORT US GA KSAV 32.131 -81.202 14.0 19480101 20200625 722071 53935 CHICKASHA MUNICIPAL ARPT US OK KCHK 35.096 -97.96600000000001 350.5 20060101 20200626 722071 99999 CHICKASHA MUNI US OK KCHK 35.1 -97.96700000000001 351.0 20041228 20051231 722072 03894 CLARKSVILLE US TN KCKV 36.624 -87.419 167.6 20060101 20100801 722072 99999 CLARKSVILLE US TN 36.617 -87.417 165.0 20040608 20041231 722073 03727 SAMPSON COUNTY AIRPORT US NC KCTZ 34.976 -78.36399999999999 45.1 20060101 20200625 722073 99999 SAMPSON CO US NC KCTZ 34.983000000000004 -78.367 45.0 20040713 20051231 722074 63840 CARMI MINICIPAL AIRPORT US IL KCUL 38.089 -88.12299999999999 118.3 20060101 20200625 722074 99999 CARMI MUNI US IL KCUL 38.083 -88.117 118.0 20040713 20051231 722075 04871 DE KALB TAYLOR MUNI ARPT US IL KDKB 41.931999999999995 -88.708 278.9 20060101 20200625 722075 99999 DE KALB TAYLOR MUNI US IL KDKB 41.93 -88.71 279.0 19730101 20051231 722076 94891 VERMILION COUNTY AIRPORT US IL KDNV 40.2 -87.6 202.4 20060101 20200625 722076 99999 VERMILION CO US IL KDNV 40.199 -87.596 212.0 19730101 20051231 722077 99999 TYBEE COAST GUARD STATION US GA 32.02 -80.85 2.0 19750911 19871030 722078 53938 HALLIBURTON FIELD AIRPORT US OK KDUC 34.471 -97.95100000000001 339.2 20060101 20200625 722078 99999 HALLIBURTON FLD US OK KDUC 34.471 -97.96 339.0 20040713 20051231 722079 53888 DAVIDSON COUNTY AIRPORT US NC KEXX 35.781 -80.304 223.4 20060101 20200625 722079 99999 DAVIDSON CO US NC KEXX 35.783 -80.3 223.0 19920226 20051231 722080 13880 CHARLESTON AFB/INTERNATIONAL AIRPORT US SC KCHS 32.899 -80.041 12.2 19450101 20200625 722081 13730 FREDERICK MUNICIPAL ARPT US MD KFDK 39.417 -77.383 92.4 20050101 20200625 722081 99999 FREDERICK AIRPORT US MD KFDK 39.417 -77.367 92.0 20040713 20041231 722082 04876 ALBERTUS AIRPORT US IL KFEP 42.246 -89.58200000000001 261.8 20060101 20200625 722082 99999 ALBERTUS US IL KFEP 42.246 -89.58200000000001 262.0 20040713 20051231 722083 99999 CHARLESTON AFB US SC 32.9 -80.05 14.0 19951004 19951005 722085 93831 BEAUFORT MCAS US SC KNBC 32.483000000000004 -80.717 11.3 19450401 20200626 722086 13758 CHARLESTON NAS US SC KNAO 32.85 -79.95 1.0 19730201 19800730 722086 99999 CHARLESTON NS US SC KNAO 32.86 -79.95 1.0 20000129 20020625 722088 99999 FOLLY BEACH LONG RANGE NAVIGATIO US 32.68 -79.88 3.0 19750916 19840916 722089 94959 GALESBURG MUNICIPAL ARPT US IL KGBG 40.933 -90.43299999999999 232.9 20060101 20200625 722089 99999 GALESBURG MUNI US IL KGBG 40.933 -90.43299999999999 233.0 20040713 20051231 722090 03875 WRIGHT AAF AIRPORT US GA KLHW 31.883000000000003 -81.567 13.7 20060103 20200625 722090 99999 FT STEWART/WRIGHT US GA KLHW 31.883000000000003 -81.567 14.0 19670201 20051230 722091 53940 CLAREMORE REGIONAL AIRPORT US OK KGCM 36.294000000000004 -95.479 221.0 20060101 20200625 722091 99999 CLAREMORE RGNL US OK KGCM 36.3 -95.48299999999999 223.0 20040713 20051231 722092 53941 GROVE MUNICIPAL AIRPORT US OK KGMJ 36.605 -94.738 253.9 20060101 20200625 722092 99999 GROVE MUNI US OK KGMJ 36.6 -94.73299999999999 253.0 20040713 20051231 722093 04878 GRAYLING ARMY AIRFIELD US MI KGOV 44.68 -84.729 350.2 20060101 20200625 722093 99999 GRAYLING AAF US MI KGOV 44.68 -84.729 353.0 19861101 20051231 722094 53984 GRAND PRAIRIE MUNICIPAL AIRPORT US TX KGPM 32.699 -97.04700000000001 179.5 20060101 20200625 722094 99999 GRAND PRAIRIE MUNI US TX KGPM 32.7 -97.05 180.0 19850130 20051231 722095 03030 GUYMON MUNICIPAL AIRPORT US OK KGUY 36.681999999999995 -101.505 951.9 20060101 20200625 722095 99999 GUYMON MUNI US OK KGUY 36.685 -101.5 952.0 20040319 20051231 722096 53127 HENDERSON EXECUTIVE ARPT US NV KHND 35.976 -115.133 749.2 20060101 20200625 722096 99999 HENDERSON EXECUTIVE US NV KHND 35.967 -115.134 760.0 20040713 20051231 722097 04936 HARLAN MUNICIPAL AIRPORT US IA KHNR 41.583999999999996 -95.339 375.2 20060101 20200625 722097 99999 HARLAN MUNI US IA KHNR 41.583 -95.333 375.0 20040713 20051231 722098 64761 EAST HAMPTON AIRPORT US NY KHTO 40.96 -72.252 17.1 20060101 20200625 722098 99999 EAST HAMPTON US NY KHTO 40.967 -72.25 17.0 20040713 20051231 722099 53936 CHANDLER MUNICIPAL AIRPORT US OK KCQB 35.724000000000004 -96.82 299.9 20060101 20200625 722099 99999 CHANDLER RGNL US OK KCQB 35.717 -96.81700000000001 300.0 20040713 20051231 722100 99999 TAMPA BAY AREA FL. US FL KTBW 27.7 -82.4 14.8 19760220 20060401 722101 03039 WOLF CREEK PASS AWOS-3 AIRPORT US CO KCPW 37.45 -106.8 3593.9 20060101 20200625 722101 99999 PAGOSA SPRINGS WOL US CO KCPW 37.45 -106.8 3584.0 19730101 20051231 722102 99999 CLEBURNE CLEBURNE MUNICIPAL AIR US 32.35 -97.43 260.0 20040525 20040617 722103 12895 ST LUCIE COUNTY INTL ARPT US FL KFPR 27.498 -80.377 7.3 20060101 20200625 722103 99999 ST LUCIE CO INTL US FL KFPR 27.483 -80.367 7.0 19880114 20051231 722104 92806 ALBERT WHITTED AIRPORT US FL KSPG 27.765 -82.62799999999999 2.4 19860101 20200625 722104 99999 ALBERT WHITTED US FL KSPG 27.767 -82.633 2.0 20000101 20031231 722105 99999 FT. MYERS BEACH COAST GUARD STAT US 26.45 -81.95 1.0 19750916 19840209 722106 12835 PAGE FIELD AIRPORT US FL KFMY 26.585 -81.861 4.6 19430101 20200625 722107 03056 GAINES COUNTY AIRPORT US TX KGNC 32.675 -102.654 1010.4 20060101 20200625 722107 99999 GAINES CO US TX KGNC 32.674 -102.65299999999999 1010.0 20040517 20051231 722108 12894 SW FLORIDA INTN AIRPORT US FL KRSW 26.535999999999998 -81.755 9.5 20060101 20200625 722108 99999 SOUTHWEST FLORIDA I US FL KRSW 26.533 -81.75 9.0 19830723 20051231 722109 00355 CHEROKEE COUNTY AIRPORT US GA KCNI 34.317 -84.417 372.2 20050101 20200626 722109 99999 CHEROKEE COUNTY AIRPORT US GA KCNI 34.3 -84.417 372.0 20040525 20041231 722110 12842 TAMPA INTERNATIONAL AIRPORT US FL KTPA 27.962 -82.54 5.8 19400801 20200625 722111 63847 ISBELL FLD US AL K4A9 34.474000000000004 -85.721 267.3 20080101 20091231 722111 99999 ISBELL FLD US AL 34.474000000000004 -85.721 267.3 20040525 20041231 722112 53982 FOX STEPHENS FIELD - GILMER MINICIPAL AIRPORT US TX KJXI 32.699 -94.949 126.5 20060101 20200626 722112 99999 FOX STEPHENS FLD US TX KJXI 32.698 -94.949 126.0 20040525 20051231 722113 53979 GIDDINGS-LEE COUNTY AIRPORT US TX KGYB 30.169 -96.98 147.8 20050101 20200625 722113 99999 GIDDINGS LEE CO US TX KGYB 30.166999999999998 -96.98299999999999 148.0 20040525 20041231 722114 54901 BUFFALO MUNICIPAL AIRPORT US MN KCFE 45.159 -93.84299999999999 294.7 20050101 20200625 722114 99999 BUFFALO MUNI ARPT US MN KCFE 45.167 -93.833 295.0 20040525 20041231 722115 12871 SARASOTA/BRADENTON INTL AP US FL KSRQ 27.401 -82.559 8.5 20060101 20200625 722115 99999 SARASOTA BRADENTON US FL KSRQ 27.383000000000003 -82.55 9.0 19730101 20051231 722116 12873 ST PETE-CLWTR INTL AIRPORT US FL KPIE 27.910999999999998 -82.68799999999999 3.4 20060101 20200625 722116 99999 ST PETERSBURG CLEAR US FL KPIE 27.9 -82.68299999999999 3.0 19730101 20051231 722117 99999 EGMONT KEY COAST GUARD STATION US FL 27.6 -82.77 1.0 19750918 19840108 722118 00482 VENICE MUNICIPAL AIRPORT US FL KVNC 27.072 -82.44 5.8 20110203 20200625 722118 99999 VENICE MUNI US FL KVNC 27.072 -82.44 5.5 19440127 20180516 722119 12883 LAKELAND LINDER REGIONAL AIRPORT US FL KLAL 28.0 -82.05 43.3 20060101 20200625 722119 99999 LAKELAND LINDER RGN US FL KLAL 27.983 -82.01700000000001 43.0 19420801 20051231 722120 12833 CROSS CITY AIRPORT US FL KCTY 29.633000000000003 -83.105 11.6 19431219 20200625 722121 99999 CURRITUCK CURRITUCK COUNTY AIRP US 36.4 -76.02 5.0 20040525 20040805 722122 03050 WINSTON FIELD AIRPORT US TX KSNK 32.693000000000005 -100.95100000000001 740.7 20060101 20200625 722122 99999 WINSTON FLD US TX KSNK 32.7 -100.95 741.0 20040525 20051231 722123 12809 BARTOW MUNICIPAL AIRPORT US FL KBOW 27.95 -81.783 38.1 20050101 20200625 722123 99999 BARTOW MUNI US FL KBOW 27.95 -81.783 38.0 19900208 20041231 722124 04998 HEBRON MUNICIPAL AIRPORT US NE KHJH 40.149 -97.587 449.0 20060101 20200625 722124 99999 HEBRON MUNI US NE KHJH 40.15 -97.583 447.0 20040525 20051231 722125 04829 SAGNAW CO H.W. BROWNE ARPT US MI KHYX 43.433 -83.867 182.9 20060101 20200625 722125 99999 SAGINAW CO H W BROWN US MI KHYX 43.433 -83.867 183.0 20040525 20051231 722126 04879 LANSING MUNICIPAL AP US IL KIGQ 41.54 -87.53200000000001 187.8 20060101 20200625 722126 99999 LANSING MUNI US IL KIGQ 41.533 -87.53299999999999 189.0 20040525 20051231 722127 04880 GREATER KANKAKEE AIRPORT US IL KIKK 41.121 -87.846 191.7 20060101 20200625 722127 99999 GREATER KANKAKEE US IL KIKK 41.067 -87.833 192.0 20040525 20051231 722128 53899 LICONTN-LINCOLN CO RGNL AP US NC KIPJ 35.483000000000004 -81.161 266.7 20060101 20200625 722128 99999 LINCOLNTON LINCOLN US NC KIPJ 35.483000000000004 -81.167 267.0 20040525 20051231 722129 04939 MOORHEAD MUNICIPAL AIRPORT US MN KJKJ 46.839 -96.663 279.5 20060101 20200625 722129 99999 MOORHEAD MUNI US MN KJKJ 46.839 -96.664 280.0 20040525 20051231 722130 13861 WAYCROSS-WARE CO. AIRPORT US GA KAYS 31.25 -82.4 43.3 19421201 20200625 722130 99999 WAYCROSS/WARE CO. US GA KAYS 31.25 -82.4 46.0 20001004 20031231 722131 03713 JOHNSTON COUNTY AIRPORT US NC KJNX 35.541 -78.39 50.3 20060101 20200625 722131 99999 JOHNSTON CO US NC KJNX 35.541 -78.39 50.0 20040525 20051231 722132 63801 CONCORD REGIONAL AIRPORT US NC KJQF 35.39 -80.707 214.9 20060101 20200625 722132 99999 CONCORD RGNL US NC KJQF 35.383 -80.7 215.0 20040525 20051231 722133 53946 SALLISAW MUNICIPAL AIRPORT US OK KJSV 35.438 -94.803 160.9 20060101 20200625 722133 99999 SALLISAW MUNI US OK KJSV 35.438 -94.803 161.0 20040525 20051231 722134 63822 VIDALIA REGIONAL AIRPORT US GA KVDI 32.193000000000005 -82.37200000000001 83.5 20060101 20200626 722134 99999 VIDALIA RGNL US GA KVDI 32.2 -82.367 84.0 20010705 20051231 722135 13870 ALMA/BACON CO. US GA KAMG 31.535999999999998 -82.507 62.8 19730101 20100801 722136 53883 BRUNSWICK GOLDEN ISLES APT US GA KBQK 31.259 -81.46600000000001 7.9 20060101 20200625 722136 99999 BRUNSWICK GOLDEN IS US GA KBQK 31.25 -81.467 8.0 19730101 20051231 722137 13878 MALCOLM MC KINNON AIRPORT US GA KSSI 31.151999999999997 -81.391 4.9 19730101 20200625 722138 13835 BAY SAINT LOUIS US MS KHSA 30.366999999999997 -89.45 7.0 19420501 19890214 722138 63852 STENNIS INTERNATIONAL AIRPORT US MS KHSA 30.368000000000002 -89.455 7.0 20050101 20200625 722138 99999 BAY SAINT LOUIS US MS KHSA 30.366999999999997 -89.45 7.0 20040517 20041231 722139 99999 SAINT SIMON ISLAND COAST GUARD S US 31.13 -81.37 1.0 19750911 19830111 722140 93805 TALLAHASSEE REGIONAL AIRPORT US FL KTLH 30.393 -84.353 16.8 19420501 20200625 722141 03731 FRANKLIN COUNTY AIRPORT US NC KLHZ 36.023 -78.33 112.5 20050101 20200625 722141 99999 FRANKLIN CO US NC KLHZ 36.023 -78.33 112.0 20040525 20041231 722142 04114 CHALLIS AIRPORT US ID KLLJ 44.523 -114.215 1546.0 20050101 20200625 722142 99999 CHALLIS US ID KLLJ 44.516999999999996 -114.21799999999999 1546.0 20040525 20081231 722143 53975 LANCASTER AIRPORT US TX KLNC 32.579 -96.719 152.7 20060101 20200625 722143 99999 LANCASTER US TX KLNC 32.583 -96.71700000000001 153.0 20040525 20051231 722144 04945 MAPLE LAKE MUNICIPAL ARPT US MN KMGG 45.236000000000004 -93.986 313.3 20060101 20200625 722144 99999 MAPLE LAKE MUNICIPAL US MN KMGG 45.24 -93.99 313.0 20040525 20051231 722145 04884 HARBOR SPRINGS AIRPORT US MI KMGN 45.426 -84.913 206.4 20060101 20200625 722145 99999 HARBOR SPRINGS US MI KMGN 45.426 -84.913 209.0 19760801 20051231 722146 12816 GAINESVILLE RGNL US FL KGNV 29.691999999999997 -82.27600000000001 50.3 19431101 20100801 722147 53817 MOULTRIE MUNICIPAL AIRPORT US GA KMGR 31.083000000000002 -83.8 86.3 20050101 20200625 722147 99999 MOULTRIE MUNI US GA KMGR 31.085 -83.803 90.0 20040525 20041231 722148 63824 STANLEY COUNTY AIRPORT US NC KVUJ 35.417 -80.15100000000001 185.6 20060101 20200625 722148 99999 STANLY CO US NC KVUJ 35.417 -80.15 186.0 20040525 20051231 722149 04899 ILLINOIS VALLEY RGNL-WALTER DUNCAN FLD ARPT US IL KVYS 41.352 -89.15299999999999 199.3 20060101 20200625 722149 99999 ILLINOIS VALLEY RGNL US IL KVYS 41.35 -89.15 199.0 20040525 20051231 722150 99999 PEACHTREE CITY US GA 33.356 -84.56700000000001 244.9 19990428 20060212 722151 14794 WESTERLY STATE AIRPORT US RI KWST 41.35 -71.79899999999999 24.7 20060101 20200625 722151 99999 WESTERLY US RI KWST 41.35 -71.803 24.0 20040525 20051231 722152 53957 WEST WOODWARD AIRPORT US OK KWWR 36.437 -99.521 666.9 20050101 20200625 722153 99999 GREEN CANYON 184 US LA 27.767 -91.51700000000001 0.0 20040525 20060911 722154 53885 DALTON MUNICIPAL AIRPORT US GA KDNN 34.722 -84.869 216.4 20060101 20200626 722154 99999 DALTON US GA KDNN 34.722 -84.869 216.0 19990114 20051231 722155 03040 MONUMENT HILL AWOS-3 ARPT US CO KMNH 39.217 -104.633 2151.9 20060101 20200625 722155 99999 ELBERT MTN MONUMENT US CO KMNH 39.217 -104.633 2125.0 20040525 20051231 722156 53873 CARTERSVILLE AIRPORT US GA KVPC 34.123000000000005 -84.84899999999999 232.6 20060101 20200626 722156 99999 CARTERSVILLE US GA KVPC 34.117 -84.85 231.0 20010705 20051231 722157 04949 MACOMB MUNICIPAL AIRPORT US IL KMQB 40.52 -90.652 215.5 20060101 20200625 722157 99999 MACOMB MUNI US IL KMQB 40.516999999999996 -90.65 215.0 20040525 20051231 722158 99999 ANNAPOLIS UNITED STATES NAVAL ACADEMY US MD KNAK 38.99 -76.48 2.0 20040525 20200624 722159 12980 MID VALLEY AIRPORT US TX KT65 26.178 -97.973 21.3 20060101 20200624 722159 99999 MID VALLEY ARPT / WESLACO US TX KTXW 26.179000000000002 -97.97399999999999 21.0 20040525 20051231 722160 13869 SW GEORGIA REGIONAL ARPT US GA KABY 31.535999999999998 -84.194 57.9 19730101 20200625 722160 99999 ALBANY MUNICIPAL US GA KABY 31.533 -84.18299999999999 59.0 20000101 20031231 722162 26554 MERRILL PASS WEST US AK PAER 61.266999999999996 -153.8 356.6 20060101 20140616 722162 99999 MERRILL PASS WEST US AK 61.25 -153.817 358.0 20040525 20041231 722163 99999 PROSPECT CREEK US AK 66.817 -150.65 335.0 20040601 20081223 722164 53949 OKMULGEE MUNICIPAL AIRPORT US OK KOKM 35.668 -95.949 219.5 20060101 20200625 722164 99999 OKMULGEE RGNL US OK KOKM 35.667 -95.95 219.0 20040525 20051231 722165 13815 OLIVE BRANCH US MS KOLV 34.983000000000004 -89.78299999999999 123.0 19411013 19740415 722165 63808 OLIVE BRANCH AIRPORT US MS KOLV 34.979 -89.787 122.5 20050101 20200626 722165 99999 OLIVE BRANCH US MS KOLV 34.983000000000004 -89.78299999999999 123.0 20040517 20041231 722166 93845 VALDOSTA REGIONAL AIRPORT US GA KVLD 30.783 -83.277 60.4 19480101 20200625 722166 99999 VALDOSTA RGNL US GA KVLD 30.783 -83.26700000000001 62.0 20000101 20031231 722167 03718 ORANGE COUNTY AIRPORT US VA KOMH 38.247 -78.046 143.0 20060101 20200625 722167 99999 ORANGE CO US VA KOMH 38.25 -78.05 142.0 19420401 20051231 722168 04960 OLIVIA REGIONAL AIRPORT US MN KOVL 44.778999999999996 -95.03299999999999 328.0 20060101 20200625 722168 99999 OLIVIA RGNL US MN KOVL 44.783 -95.03299999999999 328.0 20040525 20051231 722169 03058 PECOS MUNICIPAL AIRPORT US TX KPEQ 31.383000000000003 -103.51100000000001 796.4 20060101 20200625 722169 99999 PECOS MUNICIPAL AIR US TX KPEQ 31.383000000000003 -103.5 796.0 20040525 20051231 722170 03813 MIDDLE GEORGIA REGIONAL AIRPORT US GA KMCN 32.685 -83.65299999999999 104.6 19411020 20200626 722171 04889 PONTIAC MUNICIPAL AIRPORT US IL KPNT 40.924 -88.625 200.9 20060101 20200625 722171 99999 PONTIAC MUNI US IL KPNT 40.917 -88.617 203.0 20040525 20051231 722172 63810 EDGAR COUNTY AIRPORT US IL KPRG 39.7 -87.669 199.3 20060101 20200625 722172 99999 EDGAR CO US IL KPRG 39.7 -87.667 199.0 20040525 20051231 722173 53951 PAULS VALLEY MUNI AIRPORT US OK KPVJ 34.711 -97.223 295.1 20060101 20200625 722173 99999 PAULS VALLEY MUNI US OK KPVJ 34.717 -97.21700000000001 295.0 20040525 20051231 722174 23097 HALE COUNTY AIRPORT US TX KPVW 34.167 -101.71700000000001 1028.4 20060101 20200625 722174 99999 HALE CO US TX KPVW 34.167 -101.71700000000001 1028.0 20040525 20051231 722175 13860 ROBINS AFB AIRPORT US GA KWRB 32.633 -83.6 89.6 19420807 20200626 722175 99999 ROBINS AFB US GA KWRB 32.633 -83.6 90.0 20000101 20041231 722176 53884 NEWNAN COWETA COUNTY ARPT US GA KCCO 33.312 -84.77 295.7 20060101 20200626 722176 99999 NEWNAN COWETA CO US GA KCCO 33.317 -84.76700000000001 296.0 19990114 20051231 722177 63811 ANDREWS-MURPHY AIRPORT US NC KRHP 35.195 -83.865 516.9 20060101 20200625 722177 99999 ANDREWS MURPHY US NC KRHP 35.2 -83.867 517.0 20040525 20051231 722178 53953 ROBERT S KERR AIRPORT US OK KRKR 35.021 -94.62100000000001 137.5 20060101 20200625 722178 99999 ROBERT S KERR US OK KRKR 35.016999999999996 -94.617 137.0 20040525 20051231 722179 04968 NEW RICHMOND MUNICIPAL APT US WI KRNH 45.15 -92.53299999999999 303.6 20060101 20200625 722179 99999 NEW RICHMOND RGNL US WI KRNH 45.15 -92.53299999999999 304.0 20040525 20051231 722180 03820 AUGUSTA REGIONAL AT BUSH FIELD AP US GA KAGS 33.364000000000004 -81.963 40.2 19480101 20200626 722181 13837 DANIEL FIELD AIRPORT US GA KDNL 33.467 -82.039 128.9 20060101 20200626 722181 99999 DANIEL FIELD US GA KDNL 33.467 -82.039 129.0 19970123 20051231 722182 04890 ROCHELLE MUNI ARPT-KORITZ FIELD AIRPORT US IL KRPJ 41.893 -89.07799999999999 238.1 20060101 20200625 722182 99999 ROCHELLE MUNI KORIT US IL KRPJ 41.9 -89.083 238.0 20040525 20051231 722183 04972 BURNETT COUNTY AIRPORT US WI KRZN 45.823 -92.37299999999999 301.5 20060101 20200625 722183 99999 BURNETT CO US WI KRZN 45.817 -92.367 301.0 20040525 20051231 722184 99999 PLAINS / PETERSON FIELD US GA 32.08 -84.37 160.0 19771221 19810122 722185 53838 LEE GILMER MEMORIAL ARPT US GA KGVL 34.272 -83.83 388.6 20060101 20200626 722185 99999 LEE GILMER MEM US GA KGVL 34.266999999999996 -83.833 389.0 19970718 20051231 722186 04892 BEAVER ISLAND AIRPORT US MI KSJX 45.68899999999999 -85.566 203.0 20060101 20200625 722186 99999 BEAVER ISLAND US MI KSJX 45.7 -85.56700000000001 204.0 20040525 20051231 722187 93911 SHAWNEE MUNICIPAL AIRPORT US OK KSNL 35.357 -96.943 327.1 20060101 20200625 722187 99999 SHAWNEE RGNL US OK KSNL 35.35 -96.95 327.0 20040525 20051231 722188 53985 SEARCY MUNICIPAL AIRPORT US AR KSRC 35.211999999999996 -91.73700000000001 80.5 20060101 20200625 722188 99999 SEARCY MUNI US AR KSRC 35.211 -91.738 80.0 20040525 20051231 722189 92815 WITHAM FIELD AIRPORT US FL KSUA 27.182 -80.221 5.5 20060101 20200625 722189 99999 WITHAM FLD US FL KSUA 27.183000000000003 -80.217 5.0 20040525 20051231 722190 13874 HARTSFIELD-JACKSON ATLANTA INTL AP US GA KATL 33.63 -84.44200000000001 307.9 19730101 20200626 722191 03721 BRUNSWICK COUNTY AIRPORT US NC KSUT 33.929 -78.075 7.6 20050101 20200625 722191 99999 BRUNSWICK CO US NC KSUT 33.933 -78.067 8.0 20040525 20041231 722192 23033 AVENGER FIELD AIRPORT US TX KSWW 32.473 -100.46600000000001 725.4 20060101 20200625 722192 99999 AVENGER FLD US TX KSWW 32.467 -100.46700000000001 725.0 20040525 20051231 722193 03722 PERSON COUNTY AIRPORT US NC KTDF 36.285 -78.984 185.6 20060101 20200625 722193 99999 PERSON CO US NC KTDF 36.283 -78.983 186.0 20040525 20051231 722194 04896 RANTOUL NATL AVN CNTR-F ELLIOTT FIELD AIRPORT US IL KTIP 40.293 -88.14200000000001 224.6 20060101 20200625 722194 99999 RANTOUL NATL AVIATIO US IL KTIP 40.3 -88.15 225.0 20040525 20051231 722195 03888 FULTON CO-BROWN FLD ARPT US GA KFTY 33.779 -84.521 256.0 20060101 20200626 722195 99999 FULTON CO ARPT BROW US GA KFTY 33.766999999999996 -84.51700000000001 256.0 19730101 20051231 722196 53863 DEKALB-PEACHTREE AIRPORT US GA KPDK 33.875 -84.302 305.4 20060101 20200626 722196 99999 DEKALB PEACHTREE US GA KPDK 33.867 -84.3 306.0 19810801 20051231 722197 53819 PCHTRE CTY-FALCON FLD ARPT US GA KFFC 33.355 -84.56700000000001 243.2 20060101 20200626 722197 99999 PEACHTREE CITY FALCO US GA KFFC 33.357 -84.572 246.0 19960201 20051231 722198 63819 BOONE US NC KTNB 36.2 -81.65 910.4 20020902 20200625 722198 99999 BOONE WATAUGA HOSPTL US NC KTNB 36.2 -81.65 959.0 20040525 20041231 722199 53956 TAHLEQUAH MUNICIPAL ARPT US OK KTQH 35.929 -95.00399999999999 266.1 20060101 20200625 722199 99999 TAHLEQUAH MUNI US OK KTQH 35.933 -95.0 266.0 20040525 20051231 722200 12832 APALACHICOLA MUNI AIRPORT US FL KAAF 29.733 -85.03299999999999 5.8 19450101 20200625 722200 99999 APALACHICOLA MUNI US FL KAAF 29.733 -85.03299999999999 6.0 20000101 20031231 722201 03723 SANFORD-LEE COUNTY RGNL ARPT US NC KTTA 35.582 -79.101 75.3 20060101 20200626 722201 99999 SANFORD US NC KTTA 35.584 -79.101 75.0 20040525 20051231 722202 12985 GARNER FIELD AIRPORT US TX KUVA 29.211 -99.744 287.1 20060101 20200625 722202 99999 GARNER FLD US TX KUVA 29.217 -99.75 287.0 20040525 20051231 722203 03041 MONARCH PASS AWOS-3 ARPT US CO KMYP 38.483000000000004 -106.31700000000001 3667.1 20060101 20200625 722203 99999 SALIDA MTN MONARCH P US CO KMYP 38.483000000000004 -106.31700000000001 3667.0 20040525 20051231 722204 04996 TRI-TOWNSHIP AIRPORT US IL KSFY 42.04600000000001 -90.10799999999999 187.8 20060101 20200626 722204 99999 TRI TOWNSHIP US IL KSFY 42.05 -90.1 188.0 20040525 20051231 722205 99999 THEDFORD(NEXRAD) US NE KLNX 41.95 -100.583 905.0 20061120 20061120 722208 04224 ORCAS ISLAND AIRPORT US WA KORS 48.708 -122.911 9.5 20060101 20200625 722208 99999 EASTSOUND ORCAS ISLA US WA KORS 48.717 -122.917 9.0 20040803 20051231 722209 12986 CALHOUN COUNTY AIRPORT US TX KPKV 28.654 -96.681 9.1 20060101 20200626 722209 99999 CALHOUN CO US TX KPKV 28.65 -96.68299999999999 9.0 20040803 20051231 722210 13858 EGLIN AFB AIRPORT US FL KVPS 30.483 -86.51700000000001 26.5 19380910 20200625 722210 99999 VALPARAISO/EGLIN AF US FL KVPS 30.483 -86.51700000000001 29.0 19720101 20041231 722211 94087 THOMAS COUNTY AIRPORT US NE KTIF 41.964 -100.569 888.2 20060101 20200625 722211 99999 THOMAS COUNTY US NE KTIF 41.967 -100.56700000000001 892.0 20040904 20051231 722212 92814 ST AUGUSTINE AIRPORT US FL KSGJ 29.959 -81.34 3.1 20060101 20200625 722212 99999 ST AUGUSTINE US FL KSGJ 29.967 -81.333 3.0 19970123 20051231 722213 12819 LEESBURG REGIONAL AIRPORT US FL KLEE 28.820999999999998 -81.81 23.5 20060101 20200625 722213 99999 LEESBURG RGNL US FL KLEE 28.823 -81.809 23.0 19970123 20051231 722214 03070 MOORE COUNTY AIRPORT US TX KDUX 35.858000000000004 -102.01299999999999 1129.3 20060101 20200625 722214 99999 MOORE CO US TX KDUX 35.858000000000004 -102.01299999999999 1129.0 20040824 20051231 722215 13884 BOB SIKES AIRPORT US FL KCEW 30.78 -86.523 57.9 19730101 20200625 722216 99999 NORTH AF AUX US SC KXNO 33.615 -81.084 97.8 20071024 20200624 722217 63881 W H `BUD` BARRON AIRPORT US GA KDBN 32.564 -82.985 94.2 20060101 20200626 722217 99999 W H BUD BARRON US GA KDBN 32.564 -82.985 94.0 20050628 20051231 722218 00356 CAMBRIDGE DORCHESTER AIRPORT US MD KCGE 38.533 -76.033 6.1 20061003 20200625 722218 99999 CAMBRIDGE DORCHESTER US MD KCGE 38.539 -76.03 5.8 20080101 20180516 722219 99999 SHELL AHP US AL KSXS 31.363000000000003 -85.84899999999999 121.9 20131211 20200624 722220 99999 PENSACOLA FL US 30.483 -87.18299999999999 38.0 20010908 20200624 722221 00444 DIXON AIRPORT US WY KDWX 41.037 -107.493 1996.1 20130731 20200625 722223 13899 PENSACOLA REGIONAL AIRPORT US FL KPNS 30.478 -87.18700000000001 34.1 19900228 20200625 722224 53862 PERRY FOLEY US FL K40J 30.072 -83.574 13.7 20060101 20130501 722224 99999 PERRY FOLEY US FL 30.069000000000003 -83.581 13.7 19980514 20051231 722225 03855 PENSACOLA NAS US FL KNPA 30.35 -87.31700000000001 8.5 19450201 20200625 722226 93841 WHITING FIELD NAVAL AIR STATION NORTH US FL KNSE 30.717 -87.01700000000001 60.7 19730101 20200625 722227 03815 PENSACOLA SAUFLEY NAS US FL 30.483 -87.35 28.0 19730102 19751231 722228 99999 SANTA ROSA COAST GUARD STATION US FL 30.32 -87.25 2.0 19750916 19790818 722230 13894 MOBILE REGIONAL AIRPORT US AL KMOB 30.688000000000002 -88.24600000000001 65.5 19730101 20200625 722231 00357 HAMILTON MUNICIPAL AIRPORT US TX KMNZ 31.666 -98.149 396.2 20090101 20200625 722231 99999 HAMILTON MUNI US TX KMNZ 31.666 -98.149 395.9 20080227 20180516 722235 13838 MOBILE DOWNTOWN AIRPORT US AL KBFM 30.625999999999998 -88.068 7.9 19420701 20200625 722235 99999 MOBILE DOWNTOWN US AL KBFM 30.616999999999997 -88.06700000000001 8.0 20000101 20031231 722236 99999 MOBILE POINT COAST GUARD STATION US AL 30.23 -88.03 1.0 19750916 19771211 722237 99999 PASCAGOULA COAST GUARD STATION US MS 30.37 -88.57 8.0 19750916 19790724 722238 63873 HANCHEY ARMY HELIPORT (FORT RUCKER) US AL KHEY 31.35 -85.667 96.6 20060901 20200625 722238 99999 HANCHEY AHP US AL KHEY 31.35 -85.65 97.0 19791207 19791207 722239 53861 LOWE ARMY HELIPORT (FORT RUCKER) US AL KLOR 31.355999999999998 -85.751 74.4 20080717 20200625 722239 99999 LOWE AHP US AL KLOR 31.35 -85.75 74.0 19890714 19980401 722240 99999 CAPE SAN BLAS FL. US FL 29.683000000000003 -85.367 2.0 19780823 20040527 722241 54925 WAYNE MUNICIPAL AIRPORT US NE KLCG 42.242 -96.98299999999999 434.0 20060101 20200625 722241 99999 WAYNE MUNI US NE KLCG 42.25 -96.98299999999999 436.0 20050722 20051231 722242 99999 GALLIANO HELIPORT US LA K2GL 29.4 -90.3 2.0 20050101 20080626 722243 03738 RICHMOND COUNTY AIRPORT US NC KRCZ 34.891 -79.759 109.1 20061024 20200625 722244 00358 COLLEGE PARK AP US MD KCGS 38.981 -76.922 15.2 20061025 20200625 722244 99999 COLLEGE PARK US MD KCGS 38.981 -76.922 14.6 19761215 19810408 722245 03882 PANAMA CITY-BAY CO. INT AP US FL KPFN 30.212 -85.68299999999999 6.4 20060101 20100603 722245 99999 PANAMA CITY BAY CO US FL KPFN 30.2 -85.68299999999999 6.0 19730101 20051231 722246 03844 EGLIN AF AUX NR 3 D US FL KEGI 30.65 -86.51700000000001 58.0 19490908 20200624 722246 99999 DUKE FLD US FL KEGI 30.65 -86.523 59.4 20000103 20041231 722247 54785 SOMERSET AIRPORT US NJ KSMQ 40.624 -74.669 32.0 20060101 20200625 722247 99999 SOMERSET US NJ KSMQ 40.633 -74.667 32.0 20050208 20051231 722248 00359 SOUTHLAND FIELD AIRPORT US LA KUXL 30.131 -93.376 3.1 20061024 20200625 722249 63887 HOOK FIELD MUNICIPAL AIRPORT US OH KMWO 39.531 -84.395 198.1 20061024 20200625 722250 13829 LAWSON AAF AIRPORT US GA KLSF 32.35 -85.0 70.7 19390501 20200625 722250 99999 FORT BENNING US GA KLSF 32.333 -85.0 71.0 20000101 20041231 722251 53958 RUSTON REGIONAL AIRPORT US LA KRSN 32.514 -92.588 94.8 20060425 20200625 722252 54923 MYERS FIELD AIRPORT US MN KCNB 44.729 -96.266 363.6 20061018 20200625 722253 53992 MOREHOUSE MEMORIAL AIRPORT US LA KBQP 32.756 -91.881 50.9 20061018 20200625 722255 93842 COLUMBUS METRO AIRPORT US GA KCSG 32.516 -84.94200000000001 119.5 19480101 20200626 722256 64774 MARSHFIELD MUNICIPAL AIRPORT - GEORGE HARLOW FIELD US MA KGHG 42.098 -70.672 3.4 20051219 20200625 722260 13895 MONTGOMERY RGNL (DANNELLY FD) AP US AL KMGM 32.3 -86.40799999999999 61.6 19730101 20200625 722261 00360 OKEECHOBEE COUNTY AIRPORT US FL KOBE 27.267 -80.85 10.1 20070116 20200625 722261 99999 OKEECHOBEE CO US FL KOBE 27.263 -80.85 10.4 20080101 20180516 722265 13821 MAXWELL AFB AIRPORT US AL KMXF 32.383 -86.35 52.1 19351001 20200625 722265 99999 MAXWELL AFB US AL KMXF 32.383 -86.367 52.0 20000102 20041229 722266 13850 CRAIG FLD US AL KSEM 32.35 -86.98299999999999 51.0 19410701 19770831 722266 99999 CRAIG FLD US AL KSEM 32.344 -86.988 50.6 20140109 20200619 722267 03878 TROY MUNICIPAL AIRPORT US AL KTOI 31.861 -86.012 121.0 19730108 20200625 722267 99999 TROY MUNI US AL KTOI 31.866999999999997 -86.01700000000001 121.0 20000103 20031231 722268 13839 DOTHAN REGIONAL AIRPORT US AL KDHN 31.316999999999997 -85.45 114.0 20060101 20200625 722268 93843 DOTHAN RGNL US AL KDHN 31.316999999999997 -85.45 122.0 19411216 19991231 722268 99999 DOTHAN RGNL US AL KDHN 31.316999999999997 -85.45 122.0 20000101 20051231 722269 03850 CAIRNS ARMY AIRFIELD (FORT RUCKER) US AL KOZR 31.267 -85.71700000000001 91.7 19541019 20200625 722269 99999 CAIRNS AAF US AL KOZR 31.267 -85.7 92.0 20000101 20041231 722270 13864 DOBBINS AIR RESERVE BASE AIRPORT US GA KMGE 33.917 -84.51700000000001 325.5 19460901 20200626 722270 99999 MARIETTA/DOBBINS AF US GA KMGE 33.917 -84.51700000000001 326.0 20000101 20041231 722273 99999 ATLANTA (NAVRES) US GA 33.917 -84.51700000000001 326.0 20030712 20030712 722274 54939 CENTERVILLE MUNICIPAL AIRPORT US IA KTVK 40.684 -92.90100000000001 311.8 20090510 20200625 722274 99999 CENTERVILLE MUNI US IA KTVK 40.684 -92.90100000000001 313.0 20180129 20180515 722275 53843 ANDALUSIA-OPP MUNICIPAL AIRPORT US AL K79J 31.309 -86.39399999999999 94.5 20060103 20200625 722275 99999 ANDALUSIA OPP US AL K79J 31.309 -86.39399999999999 94.5 19730101 20051230 722276 53820 MIDDLETON FIELD AIRPORT US AL KGZH 31.416 -87.044 78.6 20060101 20200625 722276 99999 MIDDLETON FLD US AL KGZH 31.416999999999998 -87.05 79.0 19931115 20051231 722279 53852 PRYOR FIELD REGIONAL ARPT US AL KDCU 34.653 -86.945 180.4 20060101 20200625 722279 99999 PRYOR FLD RGNL US AL KDCU 34.653 -86.945 180.0 19990114 20051231 722280 13876 BIRMINGHAM INTERNATIONAL AIRPORT US AL KBHM 33.566 -86.745 187.5 19420801 20200625 722284 03892 ABRN-OPLKA R G PITTS ARPT US AL KAUO 32.616 -85.43299999999999 236.5 20060101 20200626 722284 99999 AUBURN OPELIKA ROBE US AL KAUO 32.616 -85.43299999999999 237.0 19920507 20051231 722285 03896 GADSDEN MUNICIPAL AIRPORT US AL KGAD 33.967 -86.083 173.4 20060101 20200625 722285 99999 GADSDEN MUNI US AL KGAD 33.967 -86.083 173.0 19730101 20051231 722286 93806 TUSCALOOSA MUNICIPAL ARPT US AL KTCL 33.211999999999996 -87.616 45.7 19730101 20200625 722286 99999 TUSCALOOSA RGNL US AL KTCL 33.217 -87.6 52.0 20000101 20031231 722287 13871 ANNISTON METROPOLITAN ARPT US AL KANB 33.586999999999996 -85.85600000000001 181.1 19730101 20200625 722288 99999 AUBURN UNIV. (AMOS) US AL KAUB 32.6 -85.5 198.0 19910822 19960330 722290 03881 NWS METEOROLOGICAL OBSY US AL KCKL 32.9 -87.25 138.1 19760325 20051008 722290 99999 CENTREVILLE US AL KCKL 32.9 -87.25 140.0 20020826 20020826 722291 00470 PLATTSMOUTH MUNICIPAL AIRPORT US NE KPMV 40.948 -95.917 367.3 20061121 20200625 722291 99999 PLATTSMOUTH MUNI US NE KPMV 40.95 -95.91799999999999 366.4 20080101 20180515 722293 99999 CAMERON US LA KCVW 29.784000000000002 -93.3 5.0 19810918 20190416 722294 99999 GRAND CHENIER (LITTLE PECAN ISLAND ARPT) US LA K3L4 29.8 -92.804 2.0 19870117 20190830 722295 99999 SOUTH TIMBALIER US LA KS58 28.533 -90.583 1.0 19870117 20110407 722296 99999 SHIP SHOAL 198G US LA 28.5 -91.2 2.0 19870118 19921128 722297 99999 MISSISSIPPI CANYON 778 US LA 28.15 -93.35 43.0 19870228 20130430 722298 99999 VERMILLION AREA US LA KVRX 28.583000000000002 -92.45 1.0 19870118 19880730 722300 53864 SHELBY COUNTY AIRPORT US AL KEET 33.178000000000004 -86.78200000000001 172.2 20020101 20200625 722300 99999 BIRMINGHAM US AL KEET 33.183 -86.78299999999999 175.0 19981223 20011231 722303 99999 HIGH ISLAND US LA 28.13 -94.4 30.0 19870117 19930920 722304 99999 MISSISSIPPI CANYON US LA 28.78 -89.05 18.0 19870117 19900827 722305 99999 VENICE HELIPORT US LA 29.12 -89.2 80.0 19870122 19881109 722306 99999 EUGENE ISLAND US LA 28.47 -91.78 30.0 19870118 19920127 722307 99999 MARATHON-VENICE US LA K5LA 29.285999999999998 -89.36399999999999 1.5 19870117 20160915 722308 99999 FOURCHON (SAWRS) US LA K9F2 29.1 -90.2 2.0 19870118 20161103 722309 00432 GRAND ISLE SAWRS US LA KAXO 29.25 -89.96600000000001 2.1 20050103 20161103 722309 99999 GRAND ISLE (SAWRS) US LA KAXO 29.25 -89.96700000000001 2.0 19870117 20041230 722310 12916 LOUIS ARMSTRONG NEW ORLEANS INTL AP US LA KMSY 29.997 -90.27799999999999 1.2 19451001 20200625 722312 03908 HAMMOND MUNICIPAL AIRPORT US LA KHDC 30.521 -90.41799999999999 13.4 20060101 20200625 722312 99999 HAMMOND US LA KHDC 30.517 -90.417 14.0 20020423 20051231 722314 03934 NEW IBERIA/ACADIANA US LA KARA 30.033 -91.883 7.0 19810724 19991231 722314 53915 ACADIANA REGIONAL AIRPORT US LA KARA 30.038 -91.884 7.3 20060101 20200625 722314 99999 NEW IBERIA/ACADIANA US LA KARA 30.033 -91.883 7.0 20000101 20051231 722315 53917 LAKEFRONT AIRPORT US LA KNEW 30.049 -90.029 2.7 19420901 20200625 722315 99999 LAKEFRONT US LA KNEW 30.033 -90.01700000000001 2.0 20000101 20031231 722316 12958 NEW ORLEANS NAS US LA KNBG 29.816999999999997 -90.01700000000001 0.6 19730101 20200625 722317 13970 BATON ROUGE METRO R US LA KBTR 30.537 -91.147 23.2 19420101 20101115 722319 53943 NATCHITOCHES REGIONAL ARPT US LA KIER 31.736 -93.09899999999999 36.9 20060101 20200625 722319 99999 NATCHITOCHES RGNL US LA KIER 31.733 -93.1 37.0 20020423 20051231 722320 12884 BATON ROUGE METRO R US LA KBVE 29.333000000000002 -89.40799999999999 0.3 19730101 20101115 722320 13970 BATON ROUGE METRO RYAN FIELD AIRPORT US LA KBTR 30.537 -91.147 19.5 20101115 20200625 722322 00361 GLASGOW MUNICIPAL AIRPORT US KY KGLW 37.033 -85.95 218.2 20050101 20200625 722322 99999 GLASGOW MUNI US KY KGLW 37.032 -85.954 217.9 20041123 20180516 722323 00362 GATESVILLE MUNICIPAL AIRPORT US TX KGOP 31.416999999999998 -97.8 276.2 20050101 20200625 722323 99999 CITY COUNTY US TX KGOP 31.421 -97.79700000000001 275.8 20041123 20180520 722324 03071 MIDLAND AIRPARK US TX KMDD 32.036 -102.101 854.4 20060101 20200625 722324 99999 MIDLAND AIRPARK US TX KMDD 32.037 -102.101 854.0 20041123 20051231 722325 99999 SOUTHWEST PASS COAST GUARD STATI US 28.92 -89.43 1.0 19750916 19860610 722326 99999 GRAND ISLE COAST GUARD STATION US LA 29.27 -89.95 2.0 19750916 19820903 722327 99999 LEEVILLE US LA 29.22 -90.23 2.0 19780331 19850727 722328 99999 AMELIA / LAKE PALOURD US LA K7R3 29.7 -91.1 2.0 19780403 20161103 722329 12936 HARRY P WILLIAMS MEMO ARPT US LA KPTN 29.717 -91.333 2.7 20060101 20200625 722329 99999 HARRY P WILLIAMS MEM US LA KPTN 29.717 -91.333 3.0 19840910 20051231 722330 53865 SLIDELL AIRPORT US LA KASD 30.343000000000004 -89.822 8.2 20050101 20200625 722330 99999 SLIDELL/MUN. LA US LA KASD 30.333000000000002 -89.81700000000001 11.0 20010213 20180516 722331 54941 IOWA FALLS MUNICIPAL AIRPORT US IA KIFA 42.471000000000004 -93.20700000000001 346.6 20071016 20200625 722331 99999 IOWA FALLS MUNI US IA KIFA 42.467 -93.26700000000001 347.0 20080101 20180520 722332 54953 TOMAHAWK REGIONAL AIRPORT US WI KTKV 45.468999999999994 -89.806 452.9 20060101 20200625 722332 99999 TOMAHAWK RGNL US WI KTKV 45.468999999999994 -89.806 453.0 20041109 20051231 722333 03069 SAGUACHE MUNICIPAL AIRPORT US CO K04V 38.097 -106.169 2385.4 20060101 20200625 722333 99999 SAGUACHE MUNCICIPAL US CO K04V 38.1 -106.167 2385.0 20041005 20051231 722334 03976 BEAUREGARD REGIONAL AIRPORT US LA KDRI 30.833000000000002 -93.333 62.2 20060101 20200625 722334 99999 DE RIDDER US LA KDRI 30.833000000000002 -93.333 62.0 20041228 20051231 722335 99999 WEST CAMERON US LA 28.33 -93.02 24.0 19761102 19830609 722336 99999 BOOTHVILLE US LA KBVE 29.33 -89.4 1.0 19770312 20191202 722337 99999 EAST ADDITION B323 US TX 28.22 -93.75 26.0 19800612 19931012 722338 12994 JIM HOGG COUNTY AIRPORT US TX KHBV 27.349 -98.73700000000001 202.1 20060101 20200625 722338 99999 JIM HOGG CO US TX KHBV 27.35 -98.73299999999999 202.0 20040824 20051231 722339 99999 PHI OIL PLATFORM US LA K4C0 29.783 -93.18299999999999 1.0 20041005 20110829 722340 13865 KEY FIELD AIRPORT US MS KMEI 32.335 -88.744 89.6 19420301 20200625 722341 92822 ORMOND BEACH MUNICIPAL AIRPORT US FL KOMN 29.296 -81.113 8.8 20060101 20200625 722341 99999 ORMOND BEACH MUNI US FL KOMN 29.3 -81.117 9.0 20041005 20051231 722342 54931 TRACY MUNICIPAL AIRPORT US MN KTKC 44.248999999999995 -95.60700000000001 408.4 20060101 20200626 722342 99999 TRACY MUNI US MN KTKC 44.25 -95.6 408.0 20041109 20051231 722343 54826 SOUTH HAVEN AREA REGIONAL AIRPORT US MI KLWA 42.351000000000006 -86.256 203.0 20060101 20200625 722343 99999 SOUTH HAVEN AREA RGN US MI KLWA 42.351000000000006 -86.256 203.0 20041124 20051231 722344 99999 LOUISVILLE WINSTON CO US MS KLMS 33.146 -89.06200000000001 175.3 19810220 19821217 722345 03866 MERIDIAN NAS/MC CAIN FD AP US MS KNMM 32.55 -88.56700000000001 82.6 19730101 20200626 722346 54824 OWOSSO COMMUNITY AIRPORT US MI KRNP 42.993 -84.139 224.3 20050101 20200625 722346 99999 OWOSSO COMMUNITY US MI KRNP 42.983000000000004 -84.133 224.0 19430324 20041231 722347 13833 HAGLER AAF US MS KHBG 31.281999999999996 -89.25299999999999 46.0 20050101 20100731 722347 99999 HATTIESBURG MUNI US MS 31.267 -89.25 46.0 19420820 20041231 722348 53808 HATTIESBURG-LAUREL RGNL AP US MS KPIB 31.467 -89.333 89.3 20060101 20200626 722348 99999 HATTIESBURG LAUREL US MS KPIB 31.467 -89.333 91.0 19781220 20051231 722349 99999 PICAYUNE MUNI US MS KMJD 30.487 -89.65100000000001 17.1 20200624 20200624 722350 03940 JACKSON INTERNATIONAL AIRPORT US MS KJAN 32.321 -90.07799999999999 100.6 19420901 20200625 722351 12953 WHARTON REGIONAL AIRPORT US TX KARM 29.266 -96.008 30.5 20060101 20200626 722351 99999 WHARTON RGNL US TX KARM 29.254 -96.154 31.0 20041130 20051231 722354 13927 HAWKINS FIELD AIRPORT US MS KHKS 32.336999999999996 -90.221 104.2 20050101 20200625 722354 99999 HAWKINS FLD US MS KHKS 32.333 -90.21700000000001 104.0 20010705 20041231 722355 93999 VICKSBURG MUNICIPAL AIRPORT US MS KVKS 32.233000000000004 -90.93299999999999 31.4 20130319 20200626 722356 13939 MID DELTA RGNL US MS KGLH 33.483000000000004 -90.985 39.3 19420120 20100731 722356 99999 GREENVILLE MUNI US MS 33.483000000000004 -90.98299999999999 40.0 20000101 20031231 722357 03961 HRDY-ANRES FD NTCHZ-ADAMS COUNTY AIRPORT US MS KHEZ 31.616999999999997 -91.28299999999999 82.9 20060101 20200625 722357 99999 NATCHEZ/HARDY(AWOS) US MS KHEZ 31.616999999999997 -91.3 83.0 19730102 20051231 722358 93919 MCOM/PIKE CO/J E LWS FD AP US MS KMCB 31.183000000000003 -90.471 125.9 19730101 20200625 722359 13978 GREENWOOD LEFLORE US MS KGWO 33.496 -90.087 40.5 19430205 20100731 722361 92808 NEW SMYRNA BEACH MUNICIPAL AIRPORT US FL KEVB 29.054000000000002 -80.94800000000001 3.1 20060101 20200625 722361 99999 NEW SMYRNA BEACH MUN US FL KEVB 29.055999999999997 -80.94800000000001 3.0 20041130 20051231 722362 93937 SULPHUR SPRINGS MUNICIPAL AIRPORT US TX KSLR 33.167 -95.617 149.1 20060101 20200626 722362 99999 SULPHER SPRINGS MUNI US TX KSLR 33.167 -95.617 149.0 20050104 20051231 722363 23098 EDWARDS COUNTY AIRPORT US TX KECU 29.947 -100.17299999999999 723.0 20060101 20200625 722363 99999 EDWARDS CO US TX KECU 29.947 -100.17399999999999 723.0 20050104 20051231 722364 23903 TUNICA MUNICIPAL AIRPORT US MS KUTA 34.681 -90.34700000000001 59.1 20050104 20200626 722365 99999 MAIN PASS B68 US LA 29.67 -88.88 1.0 19761102 19830609 722366 53865 SLIDELL LA WSO/WSR US LA KASD 30.343000000000004 -89.822 8.2 20080101 20091231 722366 99999 SLIDELL WSFO US LA 30.34 -89.83 37.3 19990114 20041231 722367 00363 SKYHAVEN AIRPORT US MO KRCM 38.783 -93.8 243.2 20071016 20200625 722367 99999 WARRENSBURG US MO KRCM 38.783 -93.8 243.0 20080101 20180516 722368 00364 THOMAS P STAFFORD AIRPORT US OK KOJA 35.55 -98.667 489.2 20071114 20200625 722368 99999 THOMAS P STAFFORD US OK KOJA 35.55 -98.667 489.2 20080318 20180516 722369 00365 T P MC CAMPBELL AIRPORT US TX KTFP 27.916999999999998 -97.2 5.2 20071016 20200625 722369 99999 INGLESIDE US TX KTFP 27.916999999999998 -97.2 5.0 20080101 20180515 722375 99999 VERMILION B131 US LA 29.07 -92.18 1.0 19761206 19830609 722383 99999 WEST CAMERON B56 US LA 37C 0.0 0.0 -999.0 19890227 19940912 722384 99999 HIGH ISLAND A572C US LA 27.95 -93.98 30.0 19890228 19930422 722385 99999 VERMILION B215 US LA 28.7 -92.32 1.0 19761102 19800930 722386 99999 SHIP SHOAL B113 US LA 0.0 0.0 -999.0 19880105 19910114 722387 99999 SOUTH MARSH B161 US LA 0.0 0.0 -999.0 19880303 19880502 722388 99999 GREEN CANYON B18 US LA 0.0 0.0 -999.0 19880421 19910125 722390 03931 POLK ARMY AIRFIELD US LA KPOE 31.05 -93.18299999999999 100.6 19620903 20200625 722390 99999 FORT POLK (ARMY) US LA KPOE 31.033 -93.03299999999999 110.0 20000101 20041231 722393 99999 HIGH ISLAND A489B US LA 28.2 -94.2 0.0 19880105 19930330 722394 99999 SHIP SHOAL B224A US LA 28.5 -91.3 32.0 19870713 20050217 722395 99999 GRAND ISLE B95 US LA 28.5 -90.12 1.0 19761102 19830609 722396 99999 EUGENE ISLAND US LA 28.25 -91.833 1.0 19770827 19830609 722397 99999 SHIP SHOAL PLATFORM US LA 28.68 -91.22 18.0 19780401 19851230 722398 99999 SOUTH MARSH ISLAND US LA 28.3 -91.98 1.0 19840607 20030304 722399 99999 ZAPATA-YORKTOWNTLAT US 27.416999999999998 -94.417 17.0 19850201 20110816 722400 03937 LAKE CHARLES REGIONAL AIRPORT US LA KLCH 30.125 -93.228 2.7 19420502 20200625 722403 12968 SALT POINT US LA KP92 29.561999999999998 -91.52600000000001 1.2 20060413 20200625 722403 99999 SALT POINT US LA KP92 29.56 -91.53299999999999 0.0 19850208 20050923 722404 13941 CHENNAULT INTERNATIONAL AP US LA KCWF 30.21 -93.14299999999999 5.2 19880105 20200626 722404 99999 CHENAULT AIRPARK US LA KCWF 30.217 -93.15 5.0 20000101 20031231 722405 13976 LAFAYETTE REGIONAL AIRPORT US LA KLFT 30.205 -91.988 11.6 19451001 20200625 722406 12927 HOUMA-TERREBONNE AIRPORT US LA KHUM 29.566 -90.66 2.7 20050101 20200625 722406 99999 HOUMA-TERREBONNE US LA KHUM 29.566999999999997 -90.66 3.0 19551027 20041231 722407 99999 CALCASIEU COAST GUARD STATION US LA 29.78 -93.35 1.0 19750916 19820912 722408 99999 INTRACOASTAL CITY US LA K7R4 29.767 -92.117 5.0 19760101 20150407 722409 99999 TENNECO PLATFORM US LA 28.0 -93.0 15.0 19760901 19871012 722410 12917 SOUTHEAST TEXAS REGIONAL AIRPORT US TX KBPT 29.951 -94.021 4.9 19730101 20200625 722413 99999 FREEPORT SUPPLEMENTARY AVIATION US KFOQ 29.0 -95.32 2.0 19870117 19890610 722414 99999 SABINE PASS US TX 29.7 -93.95 5.0 19810904 19840113 722415 99999 SABINE PASS COAST GUARD STATION US TX 29.73 -93.87 1.0 19750916 19860720 722416 12971 NEW BRAUNFELS MUNICIPAL AP US TX KBAZ 29.709 -98.046 196.6 19990317 20200625 722417 99999 WILMETTE (CGS) US IL 42.067 -87.68299999999999 183.0 19870501 19910207 722418 99999 CALUMET (CGS) US IL 63G 41.717 -87.53299999999999 180.0 19870501 19900810 722420 12923 SCHOLES INTL AT GLSTON APT US TX KGLS 29.273000000000003 -94.859 1.5 19930101 20200625 722420 99999 GALVESTON US TX KGLS 29.3 -94.8 16.0 19730101 20031231 722422 12923 SCHOLES INTL AT GLSTON APT US TX KGLS 29.273000000000003 -94.859 2.7 19730101 19900109 722423 12923 GALVESTON SCHOLES FIELD US TX KGLS 29.273000000000003 -94.859 2.7 19431101 19631001 722423 99999 GALVESTON US TX 29.267 -94.867 2.0 19900111 19910204 722425 99999 GALVESTON COAST GUARD STATION US TX 29.33 -94.77 1.0 19770712 19790704 722426 99999 FREEPORT (SAWRS) US TX 28.983 -95.31700000000001 2.0 19880105 19900701 722427 12975 CLOVER FIELD AIRPORT US TX KLVJ 29.519000000000002 -95.242 13.4 20060101 20200625 722427 99999 PEARLAND RGNL US TX KLVJ 29.517 -95.25 13.0 20010706 20051231 722429 53910 HOOKS MEMORIAL AIRPT US TX KDWH 30.068 -95.556 46.3 20060101 20200625 722429 99999 HOUSTON/D.W. HOOKS US TX KDWH 30.066999999999997 -95.55 46.0 19860916 20051231 722430 12960 G BUSH INTERCONTINENTAL AP/HOUSTON AP US TX KIAH 29.98 -95.36 29.0 19730101 20200625 722433 99999 WEST HOUSTON US TX KIWS 29.818 -95.67299999999999 33.8 19850130 19851129 722435 12918 WILLIAM P HOBBY US TX KHOU 29.638 -95.28200000000001 14.3 19730101 20100731 722435 99999 WILLIAM P HOBBY US TX 29.633000000000003 -95.26700000000001 14.0 19460728 19700101 722436 12906 ELLINGTON FIELD AIRPORT US TX KEFD 29.616999999999997 -95.167 9.8 19410701 20200625 722436 99999 HOUSTON/ELLINGTON US TX KEFD 29.6 -95.167 10.0 20000101 20041231 722437 99999 FREEPORT COAST GUARD STATION US TX 28.95 -95.3 2.0 19750916 19860616 722439 99999 SOUTH BRAZOS A70 US TX 28.02 -95.87 23.0 19840101 19920805 722440 12918 WILLIAM P. HOBBY AIRPORT US TX KHOU 29.638 -95.28200000000001 13.4 20050101 20200625 722444 53902 MONTGOMERY COUNTY AIRPORT US TX KCXO 30.357 -95.414 74.7 20060101 20200626 722444 99999 MONTGOMERY CO US TX KCXO 30.35 -95.417 75.0 19990114 20051231 722445 03904 EASTERWOOD FLD US TX KCLL 30.589000000000002 -96.365 100.0 19730101 20100801 722446 93987 ANGELINA COUNTY AIRPORT US TX KLFK 31.236 -94.75399999999999 87.8 19730101 20200625 722447 03901 LONGVIEW US TX KGGG 32.385 -94.712 113.7 19730101 19910131 722447 53903 HUNTSVILLE MUNICIPAL ARPT US TX KUTS 30.744 -95.586 111.6 20060101 20200626 722447 99999 HUNTSVILLE US TX KUTS 30.733 -95.583 111.0 19990114 20051231 722448 13972 TYLER POUNDS REGIONAL ARPT US TX KTYR 32.354 -95.40299999999999 165.8 19730101 20200625 722448 99999 TYLER POUNDS RGNL US TX KTYR 32.35 -95.4 166.0 19460726 19991231 722453 99999 SABINE PASS US TX 29.7 -93.95 3.0 19860916 20101209 722469 53912 CAMPBELL FLD-CORSICANA MU US TX KCRS 32.031 -96.399 136.6 20060101 20200625 722469 99999 C DAVID CAMPBELL FLD US TX KCRS 32.033 -96.4 137.0 19990114 20051231 722470 03901 EAST TEXAS REGIONAL ARPT US TX KGGG 32.385 -94.712 111.3 19910204 20200625 722470 99999 LONGVIEW US TX KGGG 32.35 -94.65 124.0 19771017 19771017 722479 53907 ARLINGTON MUNICIPAL AIRPORT US TX KGKY 32.664 -97.094 192.0 20060101 20200625 722479 99999 ARLINGTON MUNI US TX KGKY 32.667 -97.1 191.0 19990317 20051231 722480 13957 SHREVEPORT REGIONAL AIRPORT US LA KSHV 32.446999999999996 -93.824 77.4 19730101 20200625 722484 53905 SHREVEPORT DOWNTOWN ARPT US LA KDTN 32.543 -93.745 54.6 20000101 20200625 722484 99999 SHREVEPORT DOWNTOWN US LA KDTN 32.54 -93.745 55.0 19810904 19991231 722485 13944 BARKSDALE AIR FORCE BASE US LA KBAD 32.5 -93.667 50.6 19370301 20200625 722485 99999 BARKSDALE AFB US LA KBAD 32.5 -93.65 51.0 20000102 20041231 722486 13942 MONROE REGIONAL AIRPORT US LA KMLU 32.516 -92.041 24.1 19421001 20200625 722487 13935 ESLER REGIONAL AIRPORT US LA KESF 31.395 -92.291 36.0 19410701 20200625 722488 03996 VICKSBURG/TALLULAH RGNL AP US LA KTVR 32.35 -91.02799999999999 26.2 20050101 20200626 722488 99999 VICKSBURG\TALLULAH US LA KTVR 32.35 -91.03299999999999 26.0 19970718 20041231 722489 53911 TERRELL MUNICIPAL AIRPORT US TX KTRL 32.71 -96.26700000000001 144.8 20060101 20200625 722489 99999 TERRELL MUNI US TX KTRL 32.717 -96.26700000000001 144.0 19990114 20051231 722499 53948 A L MANGHAM JR RGNL ARPT US TX KOCH 31.578000000000003 -94.709 108.2 20060101 20200626 722499 99999 A L MANGHAM JR RGNL US TX KOCH 31.578000000000003 -94.71 108.0 19920226 20051231 722500 12919 BROWNSVILLE/S PADRE ISLAND INTL AP US TX KBRO 25.914 -97.42299999999999 7.3 19470101 20200625 722503 99999 VERMILLION US TX 28.583000000000002 -92.46700000000001 38.0 19870403 19910203 722505 12904 VALLEY INTERNATIONAL ARPT US TX KHRL 26.228 -97.654 10.4 19420301 20200625 722505 99999 VALLEY INTL US TX KHRL 26.217 -97.65 11.0 20000101 20031231 722506 12959 MC ALLEN MILLER INTL ARPT US TX KMFE 26.184 -98.25399999999999 30.5 19730101 20200625 722507 99999 CHARLES R JOHNSON US TX 26.563000000000002 -97.43799999999999 3.0 19770803 19770803 722508 12957 PORT ISABEL-CAMERON CO APT US TX KPIL 26.166 -97.346 5.8 20050101 20200625 722508 99999 PORT ISABEL CAMERON US TX KPIL 26.166999999999998 -97.35 6.0 19751003 20041231 722510 12924 CORPUS CHRISTI INTERNATIONAL AIRPORT US TX KCRP 27.774 -97.512 13.4 19460801 20200625 722515 12926 CORPUS CHRISTI NAS US TX KNGP 27.683000000000003 -97.28299999999999 5.5 19730101 20200625 722516 12928 KINGSVILLE NAS US TX KNQI 27.5 -97.81700000000001 15.2 19730101 20200625 722517 12932 ALICE INTERNATIONAL ARPT US TX KALI 27.741 -98.025 52.7 19460801 20200625 722517 99999 ALICE INTL US TX KALI 27.733 -98.01700000000001 54.0 20000101 20031231 722518 12974 NAVAL AUXILIARY LANDING FD US TX KNOG 27.9 -98.05 78.3 20110301 20200625 722518 99999 ORANGE GROVE NALF US TX KNOG 27.9 -98.05 78.0 19730608 20050224 722519 99999 PORT ARANSAS COAST GUARD STATION US TX 27.83 -97.07 1.0 19750916 19860624 722520 12907 LAREDO INTERNATIONAL AIRPORT US TX KLRD 27.533 -99.46700000000001 150.6 20081124 20200625 722520 12920 LAREDO INTL AIRPORT US TX KLRD 27.55 -99.46700000000001 155.0 19650301 19991231 722520 99999 LAREDO INTL AIRPORT US TX KLRD 27.55 -99.46700000000001 155.0 19430101 20081123 722521 99999 LAREDO INTL US TX 27.616999999999997 -99.51700000000001 164.0 19760824 19790727 722523 12970 STINSON MINICIPAL AIRPORT US TX KSSF 29.339000000000002 -98.47200000000001 174.0 19990101 20200625 722523 99999 STINSON MUNI US TX KSSF 29.333000000000002 -98.46700000000001 176.0 19880105 19981231 722524 12972 ARANSAS COUNTY AIRPORT US TX KRKP 28.084 -97.046 6.7 20060101 20200626 722524 99999 ARANSAS CO US TX KRKP 28.083000000000002 -97.05 7.0 19840101 20051231 722525 12920 LAREDO AIR FORCE BASE US TX KLRD 27.544 -99.461 154.8 19460806 19650315 722525 99999 LAREDO INTL ARPT US TX 27.616999999999997 -99.51700000000001 164.0 19730101 19750828 722526 12947 COTULLA-LA SALLE CO ARPT US TX KCOT 28.456999999999997 -99.21799999999999 145.1 19730101 20200625 722527 12976 BRAZORIA COUNTY AIRPORT US TX KLBX 29.11 -95.462 7.6 20060101 20200625 722527 99999 BRAZORIA CO US TX KLBX 29.116999999999997 -95.46700000000001 8.0 19890714 20051231 722530 12921 SAN ANTONIO INTERNATIONAL AIRPORT US TX KSAT 29.544 -98.484 240.5 19460814 20200625 722533 12962 HONDO MUNICIPAL AIRPORT US TX KHDO 29.36 -99.17399999999999 280.4 19420915 20200625 722535 12909 LACKLAND AIR FORCE BASE (KELLY FIELD ANNEX) US TX KSKF 29.383000000000003 -98.583 210.3 19370707 20200625 722535 99999 LACKLAND AFB KELLY US TX KSKF 29.383000000000003 -98.583 211.0 19730101 20041231 722536 12911 RANDOLPH AFB AIRPORT US TX KRND 29.533 -98.262 221.9 19380401 20200625 722536 99999 RANDOLPH AFB US TX KRND 29.517 -98.26700000000001 232.0 20000102 20041230 722537 12961 KRVL MUNI/LUIS SHRER FD AP US TX KERV 29.983 -99.083 492.9 20060101 20200625 722537 99999 KERRVILLE MUNI US TX KERV 29.976999999999997 -99.086 493.0 19730101 20051231 722539 12979 SAN MARCOS MUNICIPAL ARPT US TX KHYI 29.891 -97.86399999999999 182.0 20060101 20200625 722539 99999 SAN MARCOS MUNI US TX KHYI 29.9 -97.867 182.0 19980201 20051231 722540 13904 AUSTIN-BERGSTROM INTL AIRPORT US TX KAUS 30.183000000000003 -97.68 146.3 19990524 20200625 722540 13958 AUSTIN/MUELLER MUNI US TX KATT 30.320999999999998 -97.76 200.6 19730101 19990523 722541 53914 MC KINNEY MUNICIPAL ARPT US TX KTKI 33.19 -96.59100000000001 178.6 20060101 20200625 722541 99999 COLLIN CO RGNL US TX KTKI 33.183 -96.583 178.0 19970123 20051231 722542 03999 BURNET MUNICIPAL CRADOCK FIELD AIRPORT US TX KBMQ 30.741 -98.235 392.6 20060101 20200625 722542 99999 BURNET MUNI KATE CR US TX KBMQ 30.733 -98.23299999999999 391.0 19970123 20051231 722543 12977 SUGAR LAND REGIONAL ARPT US TX KSGR 29.622 -95.65700000000001 25.6 20060101 20200626 722543 99999 SUGER LAND RGNL US TX KSGR 29.616999999999997 -95.65 25.0 19970123 20051231 722544 13958 AUSTIN-CAMP MABRY US TX KATT 30.320999999999998 -97.76 204.2 19990602 20200625 722545 13904 BERGSTROM AFB/AUSTI US TX KAUS 30.183000000000003 -97.68 150.9 19930104 19990523 722545 99999 BERGSTROM AFB/AUSTI US TX KBSM 30.2 -97.68299999999999 165.0 19421017 19921231 722546 12910 SAN MARCOS (AWOS) US TX KRJO 29.9 -97.867 182.0 19920408 19960627 722547 53942 GEORGETOWN MUNICIPAL ARPT US TX KGTU 30.679000000000002 -97.679 239.9 20060101 20200625 722547 99999 GEORGETOWN MUNI US TX KGTU 30.683000000000003 -97.68299999999999 241.0 19920409 20051231 722550 12912 VICTORIA REGIONAL AIRPORT US TX KVCT 28.861 -96.93 35.1 19411104 20200625 722552 93929 GAINESVILLE MUNICIPAL ARPT US TX KGLE 33.650999999999996 -97.197 255.7 20060101 20200625 722552 99999 GAINESVILLE MUNI US TX KGLE 33.650999999999996 -97.197 258.0 20020430 20051231 722553 53928 BRENHAM MUNI US TX K11R 30.219 -96.374 93.9 20060101 20130501 722553 99999 BRENHAM MUNI US TX 30.219 -96.374 93.9 20020423 20051231 722554 12978 FAYETTE RGNL AIR CTR US TX K3T5 29.908 -96.95 98.8 20060101 20130501 722554 99999 FAYETTE RGNL AIR CNTR US TX 29.908 -96.95 98.8 20020423 20051231 722555 12935 PALACIOS MUNICIPAL AIRPORT US TX KPSX 28.725 -96.25399999999999 3.7 19460801 20200626 722556 12925 CHASE NAVAL AIR STATION US TX KNIR 28.366999999999997 -97.667 20.1 19730101 19921001 722557 99999 PORT OCONNOR (CGS) US TX 8R9 28.433000000000003 -96.43299999999999 3.0 19750916 19860721 722560 13959 WACO REGIONAL AIRPORT US TX KACT 31.619 -97.228 152.4 19420514 20200625 722561 99999 TSTC WACO US TX KCNW 31.638 -97.074 143.3 20070605 20200624 722563 53952 MC GREGOR EXECUTIVE ARPT US TX KPWG 31.485 -97.316 180.4 20060101 20200625 722563 99999 MC GREGOR EXECUTIVE US TX KPWG 31.483 -97.31700000000001 180.0 19920408 20051231 722570 03933 HOOD AAF AIRPORT US TX KHLR 31.133000000000003 -97.71700000000001 281.6 19601101 20200625 722570 99999 FT HOOD AAF/KILLEEN US TX KHLR 31.1 -97.71700000000001 282.0 20000104 20041231 722572 03933 FORT HOOD US TX KHLR 31.133000000000003 -97.71700000000001 266.7 19730102 19771202 722575 03972 KILLEEN MUNICIPAL AIRPORT US TX KILE 31.083000000000002 -97.68299999999999 256.3 20060101 20200625 722575 99999 KILLEEN MUNI (AWOS) US TX KILE 31.083000000000002 -97.68299999999999 258.0 19460515 20051231 722576 03902 ROBERT GRAY AFF AIRPORT US TX KGRK 31.066999999999997 -97.833 309.4 19500926 20200625 722576 99999 ROBERT GRAY AAF US TX KGRK 31.066999999999997 -97.833 309.0 20000101 20041231 722577 93984 DRAUGHON-MILLER CNTRL TX RGNL ARPT US TX KTPL 31.15 -97.417 207.9 20060101 20200625 722577 99999 DRAUGHON MILLER CEN US TX KTPL 31.15 -97.4 208.0 19450102 20051231 722580 13960 DALLAS LOVE FIELD AIRPORT US TX KDAL 32.852 -96.85600000000001 134.1 19460726 20200625 722581 13960 DALLAS LOVE FIELD US TX KDAL 32.852 -96.85600000000001 148.7 19850531 19900208 722583 13960 DALLAS LOVE FLD US TX KDAL 32.852 -96.85600000000001 148.7 19900208 20100731 722585 93901 NAVAL AIR STATION OPERATIONS US TX KNBE 32.733000000000004 -96.96700000000001 150.0 19410805 19980103 722586 99999 DEL RIO(NEXRAD) US TX KDFX 29.267 -100.28299999999999 345.0 19420114 19710529 722587 93955 COX FIELD AIRPORT US TX KPRX 33.633 -95.45 166.7 20060101 20200625 722587 99999 COX FLD US TX KPRX 33.633 -95.45 167.0 19440518 20051231 722588 13926 MAJORS AIRPORT US TX KGVT 33.068000000000005 -96.065 163.1 20060101 20200625 722588 99999 MAJORS US TX KGVT 33.067 -96.06700000000001 163.0 19420911 20051231 722589 03991 DENTON MUNICIPAL AIRPORT US TX KDTO 33.205999999999996 -97.199 195.7 20060101 20200625 722589 99999 DENTON MUNI US TX KDTO 33.201 -97.198 196.0 19980208 20051231 722590 03927 DALLAS/FT WORTH INTERNATIONAL AP US TX KDFW 32.898 -97.01899999999999 170.7 19730101 20200625 722592 99999 ANCHORAGE(WFO) US AK 61.15 -149.983 40.0 20140924 20200624 722593 03985 FORT WORTH SPINKS AIRPORT US TX KFWS 32.565 -97.30799999999999 213.4 20060101 20200625 722593 99999 FORT WORTH SPINKS US TX KFWS 32.567 -97.3 213.0 20011216 20051231 722594 53909 FORT WORTH ALLIANCE ARPT US TX KAFW 32.973 -97.318 208.8 20060101 20200625 722594 99999 FORT WORTH ALLIANCE US TX KAFW 32.983000000000004 -97.31700000000001 220.0 19910108 20051231 722595 13911 FORT WORTH NAVAL AIR STATION JRB/CARSWELL FIELD US TX KNFW 32.766999999999996 -97.45 185.3 19421201 20200625 722596 13961 FORT WORTH MEACHAM US TX KFTW 32.819 -97.361 215.2 19460801 20100731 722597 93985 MINERAL WELLS AIRPORT US TX KMWL 32.782 -98.06 283.5 19480310 20200625 722598 03970 ADDISON AIRPORT US TX KADS 32.969 -96.836 196.3 20060101 20200625 722598 99999 ADDISON US TX KADS 32.967 -96.833 196.0 19740201 20051231 722599 03971 DALLAS EXECUTIVE AIRPORT US TX KRBD 32.681 -96.868 200.6 20060101 20200625 722599 99999 DALLAS EXECUTIVE US TX KRBD 32.683 -96.867 201.0 19840713 20051231 722600 03969 CLARK FIELD MUNI AIRPORT US TX KSEP 32.215 -98.178 402.6 19840101 20200625 722600 99999 STEPHENVILLE/CLARK US TX KSEP 32.217 -98.18299999999999 402.0 20030402 20031231 722610 22004 DEL RIO INTL US TX KDRT 29.366999999999997 -100.917 315.0 19460809 19510430 722610 22010 DEL RIO INTERNATIONAL AIRPORT US TX KDRT 29.378 -100.927 304.5 19510501 20200625 722615 22001 LAUGHLIN AFB AIRPORT US TX KDLF 29.366999999999997 -100.78299999999999 329.8 19430217 20200625 722615 99999 LAUGHLIN AFB US TX KDLF 29.366999999999997 -100.78299999999999 330.0 20000101 20041222 722616 03032 TERRELL COUNTY AIRPORT US TX K6R6 30.048000000000002 -102.213 707.8 20060101 20200625 722616 99999 TERRELL CO US TX K6R6 30.046 -102.213 708.0 20010705 20051231 722618 23091 FORT STOCKTON-PECOS CO APT US TX KFST 30.912 -102.917 917.5 20050101 20200625 722618 99999 FORT STOCKTON PECOS US TX KFST 30.916999999999998 -102.917 918.0 19980201 20180516 722620 23055 GUADALUPE PASS AMOS US TX KGDP 31.831 -104.809 1663.0 19770827 20200625 722626 93035 MARFA AP US TX KMRF 30.371 -104.01700000000001 1478.0 19730101 19770802 722626 99999 MARFA AP US TX KMRF 30.371 -104.01700000000001 1478.0 20020520 20020525 722630 23034 SAN ANGELO REGIONAL/MATHS FIELD AP US TX KSJT 31.351999999999997 -100.495 584.0 19480215 20200625 722635 13973 JUNCTION US TX KJCT 30.511 -99.766 533.1 19730101 19770802 722636 93042 DALHART MUNICIPAL US TX KDHT 36.016999999999996 -102.55 1217.4 19421101 20100731 722637 93046 HEMPHILL COUNTY AIRPORT US TX KHHF 35.9 -100.4 730.3 20060101 20200625 722637 99999 HEMPHILL CO US TX KHHF 35.9 -100.4 730.0 19810707 20051231 722640 93035 MARFA MUNICIPAL AIRPORT US TX KMRF 30.371 -104.01700000000001 1478.0 19361201 20200625 722640 99999 MARFA MUNICIPAL US TX KMRF 30.366999999999997 -104.01700000000001 1481.0 20000101 20031231 722648 03031 ODESSA-SCHLEMEYER FLD ARPT US TX KODO 31.921 -102.387 914.7 20060101 20200625 722648 99999 ODESSA SCHLEMEYER FL US TX KODO 31.916999999999998 -102.383 916.0 20010705 20051231 722650 23023 MIDLAND INTERNATIONAL AIRPORT US TX KMAF 31.948 -102.209 872.3 19480201 20200625 722654 23091 FT STOCKTON\PECOS US TX KFST 30.912 -102.917 917.4 20080101 20091231 722654 99999 FT STOCKTON\PECOS US TX KFST 30.916999999999998 -102.917 19970718 19970818 722655 23005 WEBB AFB US TX KBGS 32.217 -101.51700000000001 780.9 19420927 19770902 722656 23040 WINKLER COUNTY AIRPORT US TX KINK 31.78 -103.20200000000001 855.6 19460801 20200625 722657 23041 BIG SPRING US TX KHCA 32.233000000000004 -101.5 783.9 19470101 19741130 722658 99999 SANDERSON (RAMOS) US TX 30.166999999999998 -102.417 908.0 19750421 19770507 722660 13962 ABILENE REGIONAL AIRPORT US TX KABI 32.411 -99.682 545.6 19460801 20200625 722665 13910 ABILENE DYESS AFB US TX KDYS 32.433 -99.85 545.3 19730101 19881231 722666 93943 BROWNWOOD REGIONAL AIRPORT US TX KBWD 31.8 -98.95 419.7 20060101 20200625 722666 99999 BROWNWOOD MUNICIPAL US TX KBWD 31.8 -98.95 423.0 19440901 20051231 722670 23042 LUBBOCK INTERNATIONAL AIRPORT US TX KLBB 33.666 -101.823 991.8 19450810 20200625 722673 99999 SHERMAN-DENISON US TX 33.72 -96.67 228.0 19820920 20030515 722675 23021 REESE AFB/LUBBOCK US TX KREE 33.6 -102.05 1017.0 19420301 19970411 722676 03035 ARTESIA MUNICIPAL AIRPORT US NM KATS 32.853 -104.46799999999999 1079.3 20060101 20200625 722676 99999 ARTESIA MUNI US NM KATS 32.85 -104.46700000000001 1079.0 19730101 20051231 722677 03027 CLINES CORNERS US NM KCQC 35.003 -105.663 2159.8 20060101 20200625 722677 99999 CLINES CORNERS US NM KCQC 35.0 -105.667 2160.0 19990114 20051231 722678 23052 RATON MUNI/CREWS FIELD APT US NM KRTN 36.741 -104.50200000000001 1935.2 19980902 20200625 722678 99999 RATON MUNI CREWS FLD US NM KRTN 36.733000000000004 -104.5 1936.0 20001104 20031231 722680 23009 ROSWELL INTERNATIONAL AIR CENTER AP US NM KROW 33.308 -104.508 1112.2 19420713 20200625 722682 99999 SOUTH MARSH 268A US LA KSRN 29.12 -91.87 0.0 19730101 20100519 722683 93083 SIERRA BLANCA RGNL AIRPORT US NM KSRR 33.45 -105.51700000000001 2075.7 20060101 20200625 722683 99999 SIERRA BLANCA RGNL US NM KSRR 33.467 -105.53299999999999 2077.0 19880421 20051231 722684 99999 RUIDOSO US NM 33.35 -105.667 2106.0 19820101 19880703 722685 99999 CORONA / LINCOLN US NM K4CR 34.1 -105.667 1981.0 19730101 20120930 722686 23008 CANNON AFB AIRPORT US NM KCVS 34.383 -103.31700000000001 1309.1 19430125 20200625 722686 99999 CANNON AFB US NM KCVS 34.383 -103.31700000000001 1309.0 20000101 20041231 722687 93033 CAVERN CITY AIR TRML ARPT US NM KCNM 32.334 -104.258 985.1 19420910 20200625 722688 93034 LEA COUNTY REGIONAL AIRPORT US NM KHOB 32.693000000000005 -103.213 1114.0 19421101 20200625 722688 99999 LEA CO RGNL US NM KHOB 32.683 -103.21700000000001 1116.0 20000101 20041231 722689 23077 CLOVIS MUNICIPAL AIRPORT US NM KCVN 34.433 -103.083 1285.0 20060101 20200625 722689 99999 CLOVIS MUNI US NM KCVN 34.433 -103.083 1285.0 19800908 20051231 722690 99999 WHITE SANDS NM. US NM 32.383 -106.48299999999999 1244.0 19800101 19980731 722691 00366 CLAXTON EVANS COUNTY AIRPORT US GA KCWV 32.2 -81.87 34.1 20090101 20200625 722691 99999 CLAXTON EVANS CO US GA KCWV 32.195 -81.87 34.1 20080107 20180515 722692 00367 WARRENTON FAUQUIER AIRPORT US VA KHWY 38.586 -77.711 103.0 20090101 20200625 722692 99999 WARRENTON US VA KHWY 38.583 -77.717 102.7 20080115 20180515 722693 93097 ALAMOGORDO-WHITE SANDS RGL AIRPORT US NM KALM 32.84 -105.991 1280.2 20060101 20200625 722693 99999 ALAMOGORDO WHITE SA US NM KALM 32.833 -105.98299999999999 1280.0 19870117 20051231 722695 93041 LAS CRUCES INTL AIRPORT US NM KLRU 32.283 -106.917 1357.6 20060101 20200625 722695 99999 LAS CRUCES INTL US NM KLRU 32.283 -106.917 1358.0 19470818 20051231 722696 99999 HOLLOMAN AFB US NM 32.85 -106.1 1248.0 19420902 19811110 722697 99999 NORTHROP STRIP/ALAM US NM 32.95 -106.417 1324.0 19810114 19811114 722700 23044 EL PASO INTERNATIONAL AIRPORT US TX KELP 31.811 -106.376 1194.2 19410401 20200625 722704 99999 BIGGS AAF / FT BLISS TEXAS USA US TX KBIF 31.85 -106.38 1203.4 20100614 20200624 722707 23055 GUADALUPE PASS US TX KGDP 31.831 -104.809 1663.0 19730101 19770802 722710 93045 TRH OR CONSEQCES MUNI ARPT US NM KTCS 33.236999999999995 -107.26799999999999 1478.3 19780301 20200625 722710 99999 TRUTH OR CONSEQUENC US NM KTCS 33.233000000000004 -107.26700000000001 1481.0 20000101 20031231 722720 93026 BISBEE DOUGLAS INTL ARPT US AZ KDUG 31.458000000000002 -109.60600000000001 1251.2 20100801 20200624 722720 93063 BISBEE DOUGLAS INTL US AZ KSVC 32.633 -108.167 1659.9 19730101 20100801 722720 99999 BISBEE DOUGLAS INTL US AZ KDUG 31.467 -109.6 1251.0 20000101 20031231 722721 93063 GRANT COUNTY AIRPORT US NM KSVC 32.633 -108.167 1637.7 20050101 20200625 722725 23078 DEMING MUNICIPAL AIRPORT US NM KDMN 32.262 -107.721 1310.9 20060101 20200625 722725 99999 DEMING MUNI US NM KDMN 32.25 -107.71700000000001 1315.0 19421029 20051231 722726 93045 NOGALES (AMOS) US AZ KTCS 33.236999999999995 -107.26799999999999 1480.7 19730101 19780228 722726 99999 NOGALES AUTOMATIC METEOROLOGICAL US AZ 31.42 -110.85 1198.0 19881208 19990728 722728 03196 NOGALES INTERNATIONAL ARPT US AZ KOLS 31.421 -110.846 1198.5 20060101 20200625 722728 99999 NOGALES INTL US AZ KOLS 31.416999999999998 -110.85 1205.0 20010705 20051231 722730 03124 SIERRA VISTA MUNICIPAL-LIBBY AAF AIRPORT US AZ KFHU 31.588 -110.344 1438.4 19541011 20200625 722730 99999 FORT HUACHUCA US AZ KFHU 31.583000000000002 -110.333 1428.0 20000103 20041231 722733 99999 LUKEVILLE US AZ 31.88 -112.82 511.0 19850208 19880826 722735 93026 BISBEE DOUGLAS INTL US AZ KDUG 31.458000000000002 -109.60600000000001 1250.0 19421116 20100801 722740 23160 TUCSON INTERNATIONAL AIRPORT US AZ KTUS 32.131 -110.955 776.9 19730101 20200625 722743 99999 TUCSON NEXRAD US AZ EMX 31.883000000000003 -110.617 1586.0 19991115 20021202 722745 23109 DAVIS-MONTHAN AFB AIRPORT US AZ KDMA 32.167 -110.883 824.2 19410717 20200625 722745 99999 DAVIS MONTHAN AFB US AZ KDMA 32.167 -110.883 824.0 20000101 20041231 722746 99999 SAFFORD MUNICIPAL US AZ 32.85 -109.633 968.0 19730101 19730601 722747 93084 SAFFORD REGIONAL AIRPORT US AZ KSAD 32.855 -109.635 968.0 20060101 20200625 722747 99999 SAFFORD RGNL US AZ KSAD 32.85 -109.633 968.0 19780911 20051231 722748 03914 CASA GRANDE MUNICIPAL ARPT US AZ KCGZ 32.95 -111.76700000000001 445.6 20060101 20200625 722748 99999 CASA GRANDE MUNI US AZ KCGZ 32.95 -111.76700000000001 446.0 19920412 20051231 722749 53128 CHANDLER MUNICIPAL AIRPORT US AZ KCHD 33.269 -111.81299999999999 378.9 20060101 20200625 722749 99999 CHANDLER MUNI US AZ KCHD 33.266999999999996 -111.81700000000001 379.0 19990114 20051231 722764 03029 WINDOW ROCK AIRPORT US AZ KRQE 35.658 -109.061 2054.1 20060101 20200625 722764 99999 WINDOW ROCK US AZ KRQE 35.65 -109.06700000000001 2055.0 19990323 20051231 722780 23183 PHOENIX SKY HARBOR INTL AIRPORT US AZ KPHX 33.428000000000004 -112.00399999999999 337.4 19730101 20200625 722781 99999 HENRY CO US TN KPHT 36.338 -88.383 176.8 20140530 20200624 722783 03185 FALCON FIELD AIRPORT US AZ KFFZ 33.467 -111.73299999999999 420.6 20060101 20200625 722783 99999 MESA/FALCON FIELD US AZ KFFZ 33.467 -111.73299999999999 424.0 19880105 20051231 722784 03184 PHOENIX DEER VALLEY ARPT US AZ KDVT 33.688 -112.08200000000001 443.5 20060101 20200625 722784 99999 PHOENIX DEER VALLEY US AZ KDVT 33.688 -112.083 450.0 19870629 20051231 722785 23111 LUKE AFB AIRPORT US AZ KLUF 33.55 -112.367 330.7 19411201 20200625 722785 99999 LUKE AFB US AZ KLUF 33.533 -112.383 331.0 20000103 20041229 722786 23104 WILLIAMS GATEWAY AIRPORT US AZ KIWA 33.3 -111.667 421.2 19420301 20200625 722786 99999 WILLIAMS GATEWAY US AZ KIWA 33.3 -111.65 421.0 20000101 20031231 722787 53126 GLENDALE MUNICIPAL AIRPORT US AZ KGEU 33.527 -112.295 324.9 20060101 20200625 722787 99999 GLENDALE MUNI US AZ KGEU 33.527 -112.295 325.0 19990114 20051231 722788 03186 PHOENIX GOODYEAR AIRPORT US AZ KGYR 33.417 -112.383 295.1 20060101 20200625 722788 99999 PHOENIX GOODYEAR US AZ KGYR 33.417 -112.383 295.0 19870603 20051231 722789 03192 SCOTTSDALE AIRPORT US AZ KSDL 33.623000000000005 -111.911 449.0 20060101 20200625 722789 99999 SCOTTSDALE US AZ KSDL 33.623000000000005 -111.911 460.0 19870629 20051231 722800 23195 YUMA MARINE CORPS AIR STATION/YUMA INTL AIRPORT US AZ KYUM 32.667 -114.6 62.8 19420116 20070105 722800 99999 YUMA INTL AIRPORT US AZ KYUM 32.65 -114.6 63.0 20000103 20041231 722801 99999 YUMA MCAS YUMA INTL US AZ 32.65 -114.6 65.0 20040713 20041231 722805 03145 YUMA MCAS US AZ KNYL 32.65 -114.617 64.9 19770127 19870630 722806 99999 AJO MUNI US AZ KP01 32.45 -112.867 444.4 19420115 19460120 722810 23199 NAF US CA KNJK 32.817 -115.68299999999999 -12.8 19840413 20200625 722813 53146 PIONEER AIRFIELD US AZ KALK 31.607 -110.428 1453.3 20080807 20200625 722817 03068 ELLICOTT-B AFA US CO KABH 38.766999999999996 -104.3 1837.9 20060501 20200625 722819 53989 MULTI PURPOSE RANGE US KS KAMM 39.294000000000004 -96.926 385.3 20060601 20170110 722820 03949 PEASON RIDGE US LA KAQV 31.4 -93.28299999999999 111.3 20060101 20200626 722820 99999 PEASON RIDGE FT POLK US LA KAQV 31.37 -93.16 111.0 20050302 20051231 722821 53988 FULLERTON LANDING STRIP US LA KBKB 31.022 -92.911 94.5 20060101 20200625 722821 99999 FULLERTON LANDING ST US LA KBKB 31.022 -92.11 94.0 20050303 20051231 722822 63903 DIRT STRIP EAST OF FORT POLK US LA KDNK 31.114 -92.96600000000001 114.0 20050303 20130503 722823 03749 CAMP DAVID US MD KRSP 39.645 -77.468 561.4 20060501 20200625 722823 99999 CAMP DAVID US MD KRSP 39.65 -77.467 561.4 20040921 20041124 722825 53145 TONOPAH TEST RANGE #74 US NV KBJN 37.617 -116.264 1755.7 20060101 20150201 722825 99999 TONOPAH RANGE #74 N US NV KBJN 37.617 -116.26700000000001 1756.0 20040921 20051231 722826 93762 SITE R US PA KRYT 39.733000000000004 -77.433 274.9 20060501 20171114 722826 99999 SITE R US PA KRYT 39.733000000000004 -77.433 274.9 20041027 20041124 722857 00368 WALHALLA MUNICIPAL AIRPORT US ND K96D 48.941 -97.90299999999999 290.2 20101118 20200625 722857 99999 WALHALLA MUNI US ND K96D 48.941 -97.90299999999999 290.5 20180514 20180515 722859 99999 DANA POINT US CA 33.45 -117.68 15.0 19840607 19960630 722860 23119 MARCH AIR RESERVE BASE US CA KRIV 33.9 -117.25 468.2 19330101 20200625 722860 99999 RIVERSIDE/MARCH AFB US CA KRIV 33.9 -117.25 468.0 20000101 20041231 722864 99999 BIG BEAR CITY ARPT US CA 34.266999999999996 -116.85 2057.0 19801202 19840614 722865 93180 ONTARIO US CA KONT 34.067 -117.65 303.9 19421215 19991231 722865 99999 ONTARIO US CA KONT 34.067 -117.65 303.9 20000101 20010516 722866 23122 SAN BERNARDINO INTERNATIONAL AIRPORT US CA KSBD 34.095 -117.235 353.3 19430106 19931030 722866 99999 SAN BERNARDINO INTL US CA KSBD 34.095 -117.235 353.3 20090112 20200624 722867 23156 BEAUMONT US CA KBUO 33.933 -116.96700000000001 692.0 19730101 19991231 722867 99999 BEAUMONT US CA KBUO 33.933 -116.96700000000001 692.0 20000101 20010901 722868 93138 PALM SPRINGS INTL AIRPORT US CA KPSP 33.821999999999996 -116.50399999999999 124.7 20060101 20200625 722868 99999 PALM SPRINGS INTL US CA KPSP 33.833 -116.5 145.0 19430510 20051231 722869 03171 RIVERSIDE MUNICIPAL ARPT US CA KRAL 33.952 -117.439 245.2 20060101 20200625 722869 99999 RIVERSIDE MUNI US CA KRAL 33.95 -117.43299999999999 249.0 19770116 20051231 722874 93134 DOWNTOWN L.A./USC CAMPUS US CA KCQT 34.024 -118.291 54.6 20000101 20200625 722880 23152 BURBANK-GLENDALE-PASA ARPT US CA KBUR 34.201 -118.35799999999999 236.2 19430601 20200625 722880 99999 BURBANK/GLENDALE US CA KBUR 34.2 -118.35 236.0 20000101 20031231 722883 99999 HERMOSA BEACH PIER US CA 33.87 -118.4 8.0 19770827 19960630 722884 99999 SANTA MONICA PIER US CA 34.0 -118.5 2.0 19770827 19960630 722885 93197 SANTA MONICA MUNI AIRPORT US CA KSMO 34.016 -118.45100000000001 53.0 20060101 20200625 722885 99999 SANTA MONICA MUNI US CA KSMO 34.016999999999996 -118.45 53.0 19730101 20051231 722886 23130 VAN NUYS AIRPORT US CA KVNY 34.21 -118.48899999999999 234.7 19421211 20200625 722886 99999 VAN NUYS US CA KVNY 34.21 -118.49 244.0 20000101 20031231 722887 03180 BRACKETT FIELD AIRPORT US CA KPOC 34.1 -117.78299999999999 308.2 20060101 20200625 722887 99999 BRACKETT FLD US CA KPOC 34.083 -117.78299999999999 308.0 19780306 20051231 722888 99999 NORTH CENTRAL LOWER US MI 44.9 -84.71700000000001 446.0 19770108 19960714 722889 99999 APPLE VALLEY US CA KAPV 34.575 -117.186 933.3 19730622 19730622 722890 93136 MOUNT WILSON US CA KMWS 34.233000000000004 -118.06700000000001 1739.2 19500101 20150513 722890 99999 MOUNT WILSON US CA KMWS 34.233000000000004 -118.06700000000001 1739.0 20000103 20030601 722895 23243 LOMPOC AIRPORT US CA KLPC 34.667 -120.46700000000001 26.8 20060101 20200625 722895 99999 LOMPOC US CA KLPC 34.667 -120.46700000000001 27.0 19920409 20051231 722897 93206 SAN LUIS CO REGIONAL ARPT US CA KSBP 35.236999999999995 -120.641 61.0 20060101 20200625 722897 99999 SAN LUIS CO RGNL US CA KSBP 35.233000000000004 -120.633 65.0 19730227 20051231 722898 99999 ANACAPA ISLAND US CA 34.02 -119.37 42.0 19780407 19870919 722899 03179 CHINO AIRPORT US CA KCNO 33.975 -117.63600000000001 198.1 20060101 20200625 722899 99999 CHINO US CA KCNO 33.967 -117.633 199.0 19770705 20051231 722900 23188 SAN DIEGO INTERNATIONAL AIRPORT US CA KSAN 32.734 -117.18299999999999 4.6 19420101 20200625 722901 99999 SAN DIEGO/MONTGOMER US CA 32.817 -117.133 129.0 19730101 19900206 722903 03131 MONTGOMERY FIELD AIRPORT US CA KMYF 32.816 -117.139 127.1 20060101 20200625 722903 99999 MONTGOMERY FLD US CA KMYF 32.816 -117.14 130.0 19900208 20051231 722904 03178 BROWN FIELD MUNICIPAL ARPT US CA KSDM 32.571999999999996 -116.979 157.0 20060101 20200625 722904 23196 BROWN FLD MUNI US CA KSDM 32.567 -116.96700000000001 160.0 19780429 19991231 722904 99999 BROWN FLD MUNI US CA KSDM 32.567 -116.96700000000001 160.0 20000101 20051231 722905 99999 POINT LOMA / CABRILLO US CA 32.67 -117.48 111.0 19760130 19960630 722906 93112 NORTH ISLAND NAS US CA KNZY 32.7 -117.2 7.9 19450401 20200625 722907 53143 GILLESPIE FIELD AIRPORT US CA KSEE 32.826 -116.973 118.0 20060101 20200625 722907 99999 GILLESPIE FLD US CA KSEE 32.833 -116.96700000000001 118.0 19730101 20051231 722908 99999 EL TORO(USMC) US CA 33.667 -117.73299999999999 117.0 19730101 19890112 722909 93115 NAVAL AUXILIARY LANDING FD US CA KNRS 32.567 -117.117 7.3 19730101 20200625 722910 93116 SAN NICOLAS ISLAND NAVAL OUTLYING FIELD US CA KNSI 33.24 -119.458 153.0 19430616 20200625 722910 99999 SAN NICHOLAS ISLAND US CA KNSI 33.25 -119.45 174.0 20000103 20041229 722913 99999 MARINA DEL REY US CA 33.97 -118.43 8.0 19771005 19960630 722914 99999 MISSION BEACH US CA 32.77 -117.23 2.0 19780823 19960701 722915 93114 TUSTIN MCAF US CA KNTK 33.7 -117.833 16.5 19760101 19891130 722916 99999 MALIBU BEACH US CA 34.03 -118.68 139.0 19780823 19820702 722917 99999 LONG BEACH US CA 33.77 -118.17 3.0 19780823 19820427 722919 99999 SOLANA BEACH US CA 32.98 -117.27 5.0 19831106 19960630 722920 23191 CATALINA AIRPORT US CA KAVX 33.405 -118.416 488.3 19430612 20200625 722920 99999 AVALON/CATALINA US CA KAVX 33.4 -118.417 488.0 20000613 20031231 722923 99999 CAMP PENDLETON MCAS US CA 33.3 -117.35 19.0 19770317 19780206 722924 99999 SANTA CATALINA ISLAND US CA 33.33 -118.33 3.0 19770827 19960630 722925 93117 NALF/F. SHERMAN FLD ARPT US CA KNUC 33.023 -118.588 55.5 19430610 20200625 722925 99999 SAN CLEMENTE ISLAND US CA KNUC 33.016999999999996 -118.583 56.0 20000103 20031231 722926 03154 MARINE CORPS AIR STATION US CA KNFG 33.3 -117.35 22.9 19730102 20200625 722927 03177 MCCLELLAN-PALOMAR AIRPORT US CA KCRQ 33.128 -117.279 100.0 20060101 20200625 722927 99999 MC CLELLAN PALOMAR US CA KCRQ 33.128 -117.28 101.0 19730101 20051231 722928 00369 MCOLF CAMP PENDLETON RED BEACH AIRPORT US CA KNXF 33.286 -117.456 27.1 20091029 20200616 722928 99999 MCOLF CAMP PENDLETON (RED BEACH) AIRPORT US CA KNXF 33.286 -117.456 27.0 19750916 20180514 722929 99999 OCEANSIDE HARBOR US CA 33.22 -117.4 9.0 19770827 19960630 722930 93107 SAN DIEGO/MIRAMAR N US CA KNKX 32.867 -117.133 145.7 19890101 20050331 722931 93107 MARINE CORPS AIR STATION US CA KNKX 32.867 -117.133 145.4 20050401 20200625 722931 99999 MIRAMAR MCAS US CA KNKX 32.867 -117.15 146.0 20040713 20050331 722933 99999 SAN CLEMENTE US CA 33.42 -117.62 3.0 19810506 19960630 722934 53121 OCEANSIDE MUNICIPAL ARPT US CA KOKB 33.219 -117.34899999999999 8.5 20060101 20200625 722934 99999 OCEANSIDE MUNI US CA KOKB 33.217 -117.35 9.0 19831104 20051231 722935 99999 EL CAPITAN BEACH US CA 34.467 -120.03299999999999 27.0 19880107 19960630 722950 23174 LOS ANGELES INTERNATIONAL AIRPORT US CA KLAX 33.938 -118.389 29.6 19440101 20200625 722953 03183 MOJAVE AIRPORT US CA KMHV 35.067 -118.15 849.5 20060102 20200625 722953 99999 MOJAVE US CA KMHV 35.059 -118.152 851.0 19860916 20051231 722954 99999 ZUMA BEACH US CA 34.02 -118.82 6.0 19770827 19960630 722955 03122 TORRANCE AIRPORT US CA KTOA 33.802 -118.34200000000001 27.4 19440601 19991231 722955 03174 ZAMPERINI FIELD AIRPORT US CA KTOA 33.803000000000004 -118.34 29.6 20060101 20200625 722955 99999 ZAMPERINI FLD US CA KTOA 33.803000000000004 -118.34 31.4 20000101 20051231 722956 03167 NRTHORP FLD/HATHRN MUNI AP US CA KHHR 33.923 -118.334 19.2 20060101 20200625 722956 99999 JACK NORTHROP FLD H US CA KHHR 33.917 -118.333 20.0 19730101 20051231 722957 99999 LONG BEACH US CA 32.75 -118.417 24.0 19761129 19880105 722958 99999 CABRILLO BEACH US CA 33.72 -118.28 8.0 19760130 19960630 722959 99999 SCRIPPS PIER / LA JOL US CA 32.87 -117.25 4.0 19780823 19900321 722970 23129 LONG BEACH / DAUGHERTY FIELD / AIRPORT US CA KLGB 33.812 -118.146 9.5 19430101 20200625 722972 63878 LITCHFIELD MUNICIPAL AIRPORT US IL K3LF 39.163000000000004 -89.675 210.3 20060101 20200625 722972 99999 LITCHFIELD MUNI US IL K3LF 39.167 -89.667 210.0 20040921 20051231 722973 99999 NEWPORT BEACH US CA 33.6 -117.88 3.0 19770827 19960701 722974 99999 LONG BEACH US CA K5L8 33.766999999999996 -118.167 3.0 19770208 19891127 722975 53141 LOS ALAMITOS AAF AIRPORT US CA KSLI 33.79 -118.052 10.7 20060101 20200625 722975 93106 LOS ALAMITOS AAF US CA KSLI 33.783 -118.05 11.0 19820907 19991231 722975 99999 LOS ALAMITOS AAF US CA KSLI 33.783 -118.05 11.0 20000101 20051231 722976 03166 FULLERTON MUNICIPAL ARPT US CA KFUL 33.872 -117.979 29.3 20060101 20200625 722976 99999 FULLERTON MUNICIPAL US CA KFUL 33.867 -117.98299999999999 29.0 19730101 20051231 722977 93184 J. WAYNE APT-ORANGE CO APT US CA KSNA 33.68 -117.866 16.5 19400617 20200625 722977 99999 JOHN WAYNE ARPT ORA US CA KSNA 33.667 -117.867 17.0 20000101 20031231 722978 99999 HUNTINGTON BEACH US CA 33.65 -118.0 35.0 19730101 19960630 722979 03157 LONG BEACH NAVAL STN US CA NWF 33.75 -118.23299999999999 4.3 19730102 19731228 722983 99999 POINT VINCENTE US CA 33.73 -118.4 5.0 19880106 19880309 722984 99999 HUNTINGTON B. OIL US CA 33.57 -118.13 36.0 19870403 19880309 722985 99999 LONGBEACH RADIO US CA 33.75 -118.333 5.0 19750916 19800207 722986 99999 TERMINAL ISLAND US CA 33.73 -118.27 10.0 19770827 19860529 723010 03810 HICKORY REGIONAL AIRPORT US NC KHKY 35.742 -81.382 358.1 20050101 20200625 723011 13748 WILMINGTON NEW HANOVER COUNTY US NC KILM 34.268 -77.9 11.6 19420601 19900228 723013 13748 WILMINGTON INTL US NC KILM 34.268 -77.9 11.6 19900228 20091231 723015 99999 SOUTH PORT / OAK ISLAND COAST GU US 33.88 -78.02 1.0 19750916 19910108 723016 99999 WRIGHTSVILLE BEACH US NC 34.18 -77.82 3.0 19750916 19910403 723020 13748 WILMINGTON INTERNATIONAL AIRPORT US NC KILM 34.268 -77.9 10.1 20050101 20200625 723020 99999 WILMINGTON INTL US NC KILM 34.266999999999996 -77.9 10.0 20010705 20180516 723030 13714 POPE AFB AIRPORT US NC KPOB 35.174 -79.009 66.5 19370703 20200626 723030 99999 POPE FIELD US NC KPOB 35.167 -79.033 66.0 20000101 20041231 723034 93747 MACKALL AAF AIRPORT US NC KHFF 35.033 -79.5 114.6 20060103 20200625 723034 99999 MACKALL AAF US NC KHFF 35.033 -79.5 115.0 19790507 20051231 723035 93740 FAYETT RGNL/GRANNIS FLD AP US NC KFAY 34.991 -78.88 56.7 20060101 20200625 723035 99999 FAYETTEVILLE RGNL G US NC KFAY 34.983000000000004 -78.883 58.0 19730101 20051231 723037 93765 MICHAEL J SMITH FLD ARPT US NC KMRH 34.733000000000004 -76.657 2.4 20060101 20200625 723037 99999 MICHAEL J SMITH FLD US NC KMRH 34.733000000000004 -76.667 3.0 20010705 20051231 723040 93729 CAPE HATTERAS US NC KHSE 35.233000000000004 -75.622 3.4 19730101 19951231 723040 99999 CAPE HATTERAS NC. US KHAT 35.266999999999996 -75.55 3.0 19960322 20060803 723044 99999 ERWIN HARNETT COUNTY AIRPORT US NC 35.38 -78.73 60.0 19990114 19990715 723045 99999 OREGON INLET COAST GUARD STATION US NC 35.77 -75.52 1.0 19750916 19860515 723046 13766 DARE COUNTY REGIONAL AIRPORT US NC KMQI 35.917 -75.7 4.0 20050101 20200625 723046 99999 DARE CO RGNL US NC KMQI 35.917 -75.7 4.0 19850715 20041231 723047 99999 ORACOKE COAST GUARD STATION US NC 35.12 -75.98 2.0 19750916 19860515 723048 99999 ANDREWS ANDREWS-MURPHY AIRPORT US NC 35.19 -83.86 518.0 19990114 20010517 723050 99999 NEWPORT US NC KMHX 34.766999999999996 -76.867 10.8 19960516 20041008 723055 63816 STATESVILLE MUNICIPAL ARPT US NC KSVH 35.765 -80.957 294.1 20060101 20200625 723055 99999 STATESVILLE RGNL US NC KSVH 35.766999999999996 -80.95 295.0 20010705 20051231 723060 13722 RALEIGH-DURHAM INTERNATIONAL AP US NC KRDU 35.891999999999996 -78.782 126.8 19451101 20200625 723062 99999 USMC BOMB RANGE BT-11 US NC KNBT 35.016999999999996 -76.467 5.2 20090903 20200624 723065 13783 PITT-GREENVILLE AIRPORT US NC KPGV 35.633 -77.383 7.6 20050101 20200625 723065 99999 PITT GREENVILLE US NC KPGV 35.635 -77.383 8.0 19730101 20041231 723066 13713 SEYMOUR-JOHNSON AFB AIRPORT US NC KGSB 35.344 -77.965 33.2 19430601 20200625 723066 99999 SEYMOUR JOHNSON AFB US NC KGSB 35.333 -77.95 34.0 20000101 20041231 723067 93726 KINSTON REGIONAL JETPORT AT STALLING FIELD US NC KISO 35.317 -77.633 28.7 19730608 20200625 723067 99999 KINSTON RGNL JETPORT US NC KISO 35.332 -77.609 29.0 20000101 20041231 723068 93759 ROCKY MOUNT-WILSON RGN APT US NC KRWI 35.855 -77.893 48.8 20060101 20200625 723068 99999 ROCKY MOUNT WILSON US NC KRWI 35.85 -77.883 48.0 19730620 20051231 723069 93753 ALBERT J ELLIS AIRPORT US NC KOAJ 34.833 -77.617 29.3 20060101 20200625 723069 99999 JACKSONVILLE (AWOS) US NC KOAJ 34.833 -77.617 29.0 19761225 20051231 723070 13786 ELZ CTY CG/AIR STN RGNL AP US NC KECG 36.260999999999996 -76.175 4.0 20050101 20200625 723074 03703 NORTHEASTERN REGIONAL ARPT US NC KEDE 36.028 -76.567 6.1 20060101 20200625 723074 99999 NORTHEASTERN RGNL US NC KEDE 36.029 -76.57 6.0 19990114 20051231 723075 13769 OCEANA NAS US VA KNTU 36.817 -76.033 7.0 19730101 20200625 723076 99999 CAPE HENRY COAST GUARD LIGHT STA US 36.93 -76.0 1.0 19750916 19841220 723077 99999 NORFOLK / CHESAPEAK US VA 36.9 -75.72 23.0 19750916 19840107 723078 99999 MARKS MUNI US VA 36.596 -78.56 128.3 19890918 19900206 723079 93796 TRI-COUNTY AIRPORT US NC KASJ 36.298 -77.171 20.7 20060101 20200625 723079 99999 TRI CO US NC KASJ 36.3 -77.167 21.0 19990114 20051231 723080 13737 NORFOLK INTERNATIONAL AIRPORT US VA KORF 36.903 -76.192 9.1 19730101 20200625 723082 99999 WEST CAMERON 560 US LA 28.15 -93.35 0.0 20040825 20050409 723083 13763 FRANKLIN MUNICIPAL-JOHN BEVERLY ROSE AIRPORT US VA KFKN 36.698 -76.903 12.5 19941016 20200625 723083 99999 FRANKLIN MUNI JB ROS US VA KFKN 36.698 -76.904 12.0 20000101 20031231 723084 93775 HANOVER CO MUNICIPAL ARPT US VA KOFP 37.708 -77.434 62.5 20050101 20200625 723084 99999 HANOVER CO MUNI US VA KOFP 37.709 -77.437 63.0 19860620 20180516 723085 13750 NORFOLK NAS US VA KNGU 36.937 -76.289 5.2 19730101 20200625 723086 93741 NWPT NEWS/WIMBURG INTL APT US VA KPHF 37.132 -76.493 12.8 20000101 20200625 723086 99999 NEWPORT NEWS WILLIA US VA KPHF 37.133 -76.483 13.0 19730101 19991231 723087 93735 FELKER ARMY AIRFIELD US VA KFAF 37.133 -76.6 3.7 19601101 20200625 723087 99999 FELKER AAF US VA KFAF 37.133 -76.609 4.0 20000103 20041230 723088 99999 MILFORD HAVEN COAST GUARD STATIO US 37.48 -76.32 1.0 19750916 19910113 723089 13755 CHINCOTEAGUE US VA K0W8 37.933 -75.383 2.0 19821019 19960630 723090 13754 CHERRY POINT MCAS US NC KNKT 34.9 -76.883 8.8 19730101 20200625 723094 99999 SWANSBORO / BOGUE US NC 34.65 -77.1 2.0 19790507 19910403 723095 93719 CRAVEN COUNTY REG AIRPORT US NC KEWN 35.068000000000005 -77.048 5.8 19730101 20200625 723096 93727 JACKSONVILLE US NC KNCA 34.708 -77.44 7.9 19730101 20200625 723097 93743 BOGUE FIELD MARINE CORPS AUXILIARY FIELD US NC KNJM 34.683 -77.033 6.4 19870504 20200625 723098 93798 CULPEPER REGIONAL AIRPORT US VA KCJR 38.527 -77.859 96.3 20060101 20200625 723098 99999 CULPEPER RGNL US VA KCJR 38.533 -77.867 96.0 19730623 20051231 723099 99999 CAPE LOOKOUT COAST GUARD STATION US NC 34.6 -76.53 4.0 19750916 19830107 723100 13883 COLUMBIA METROPOLITAN AIRPORT US SC KCAE 33.942 -81.118 68.6 19420424 20200626 723104 53867 COLUMBIA OWENS DOWNTOWN AP US SC KCUB 33.971 -80.99600000000001 64.6 20060101 20200625 723104 99999 COLUMBIA OWENS APT US SC KCUB 33.967 -80.983 59.0 19790513 20051231 723105 03858 MCENTIRE AIR NATIONAL GUARD STATION US SC KMMT 33.967 -80.8 77.4 20050103 20200625 723105 93833 MC ENTIRE JNGB US SC KMMT 33.921 -80.801 77.0 19590206 19991231 723105 99999 MC ENTIRE JNGB US SC KMMT 33.921 -80.801 77.0 20000103 20041230 723106 13744 FLORENCE REGIONAL AIRPORT US SC KFLO 34.188 -79.73100000000001 44.5 19730101 20200625 723107 00371 SANTEE COOPER REGIONAL AIRPORT US SC KMNI 33.586999999999996 -80.209 31.1 20090101 20200625 723107 99999 SANTEE COOPER RGNL US SC KMNI 33.586999999999996 -80.209 31.4 20081208 20180226 723108 13776 LUMBERTON MUNICIPAL ARPT US NC KLBT 34.608000000000004 -79.059 36.9 19980902 20200624 723108 99999 LUMBERTON MUNI US NC KLBT 34.61 -79.059 38.0 20000101 20031231 723109 93782 LAURINBURG-MAXTON AIRPORT US NC KMEB 34.792 -79.366 67.1 20060101 20200625 723109 99999 MAXTON US NC KMEB 34.783 -79.367 67.0 19990114 20051231 723110 13873 ATHENS/BEN EPPS AIRPORT US GA KAHN 33.948 -83.32799999999999 239.3 19730101 20200626 723114 03715 LOUISA CO/FREEMAN FLD ARPT US VA KLKU 38.01 -77.97 150.3 20060101 20200625 723114 99999 LOUISA CO FREEMAN FL US VA KLKU 38.016999999999996 -77.967 150.0 19990114 20051231 723115 53854 ORANGEBURG MUNICIPAL ARPT US SC KOGB 33.461999999999996 -80.858 60.1 20060101 20200626 723115 99999 ORANGEBURG MUNI US SC KOGB 33.45 -80.867 59.0 19990114 20051231 723116 03742 DARLINGTON COUNTY JETPORT AIRPORT US SC KUDG 34.466 -79.89 58.5 20060101 20200625 723116 99999 DARLINGTON CO JETPOR US SC KUDG 34.45 -79.883 59.0 19990114 20051231 723117 53871 RK HL/YORK CO/BRYNT FD APT US SC KUZA 34.986999999999995 -81.058 203.9 20060101 20200626 723117 99999 ROCK HILL YORK CO US SC KUZA 34.983000000000004 -81.05 203.0 20010811 20051231 723118 53850 OCCONEE COUNTY RGNL ARPT US SC KCEU 34.672 -82.88600000000001 271.6 20060101 20200626 723118 99999 OCONEE CO RGNL US SC KCEU 34.667 -82.883 272.0 20010811 20051231 723119 13886 GREENVILLE DOWNTOWN ARPT US SC KGMU 34.846 -82.346 319.4 19420908 20200626 723119 99999 GREENVILLE DOWNTOWN US SC KGMU 34.85 -82.35 319.0 20000101 20031231 723120 03870 GREENVILLE-SPARTANBURG INTL AIRPORT US SC KGSP 34.906 -82.213 291.1 19730101 20200625 723122 63889 DONALDSON CENTER AIRPORT US SC KGYH 34.758 -82.376 291.1 20060101 20200626 723122 99999 GREENVILLE US SC KGYH 34.75 -82.367 291.0 20050611 20051231 723123 14886 Kings Land O' Lakes Airport US WI KLNL 46.15 -89.21700000000001 519.4 20060101 20200625 723123 99999 KINGS LAND O LAKES US WI KLNL 46.15 -89.21700000000001 519.0 20050315 20051231 723124 53874 GREENWOOD COUNTY AIRPORT US SC KGRD 34.249 -82.15899999999999 192.3 20060101 20200626 723124 99999 GREENWOOD CO US SC KGRD 34.249 -82.167 192.0 20010811 20051231 723125 93846 ANDERSON RGNL US SC KAND 34.498000000000005 -82.71 235.6 19730101 20100801 723126 93804 SPARTANBURG DOWNTOWN MEMORIAL AIRPORT US SC KSPA 34.917 -81.95 244.1 19730101 19820320 723126 99999 SPARTANBURG DOWNTOWN MEM US SC KSPA 34.916 -81.95700000000001 244.1 20090420 20200624 723139 93729 BILLY MITCHELL AIRPORT US NC KHSE 35.233000000000004 -75.622 3.4 19960101 20200626 723140 13881 CHARLOTTE/DOUGLAS INTERNATIONAL AP US NC KCLT 35.224000000000004 -80.955 221.9 19410722 20200626 723143 03720 MOORE COUNTY AIRPORT US NC KSOP 35.236999999999995 -79.391 140.5 20060101 20200625 723143 99999 MOORE CO US NC KSOP 35.233000000000004 -79.383 141.0 19920226 20051231 723144 53890 RURFTON CO-MARCHMAN FLD AP US NC KFQD 35.428000000000004 -81.935 328.6 20060101 20200625 723144 99999 RUTHERFORDTON US NC KFQD 35.433 -81.93299999999999 329.0 19990114 20051231 723145 03810 HICKORY RGNL US NC KHKY 35.743 -81.382 362.1 19730101 20100801 723146 53892 ASHE COUNTY AIRPORT US NC KGEV 36.431999999999995 -81.419 969.3 20060101 20200625 723146 99999 ASHE CO US NC KGEV 36.433 -81.417 969.0 19990114 20051231 723147 53870 GASTONIA MUNICIPAL AIRPORT US NC KAKH 35.196999999999996 -81.156 242.9 20060101 20200625 723147 99999 GASTONIA MUNI US NC KAKH 35.2 -81.15 243.0 20010811 20051231 723148 63859 MORGANTON-LENOIR AIRPORT US NC KMRN 35.821 -81.611 387.1 20060101 20200625 723148 99999 FOOTHILLS RGNL US NC KMRN 35.817 -81.617 387.0 20010811 20051231 723150 03812 ASHEVILLE REGIONAL AIRPORT US NC KAVL 35.431999999999995 -82.538 645.3 19730101 20200625 723155 99999 HOT SPRINGS (AWRS) US NC 35.9 -82.81700000000001 451.0 19730101 19840331 723156 63812 ROWAN COUNTY AIRPORT US NC KRUQ 35.646 -80.52 235.6 20050101 20200625 723156 99999 ROWAN COUNTY ARPT US NC KRUQ 35.65 -80.517 236.0 20020219 20041231 723160 13870 BACON COUNTY AIRPORT US GA KAMG 31.535999999999998 -82.507 58.8 20050101 20200625 723165 63821 WILKES COUNTY AIRPORT US NC KUKF 36.223 -81.098 396.2 20060101 20200626 723165 99999 WILKES CO US NC KUKF 36.217 -81.1 397.0 20010811 20051231 723170 13723 PIEDMONT TRIAD INTERNATIONAL AIRPORT US NC KGSO 36.097 -79.943 271.3 19451101 20200625 723171 53144 NORTH AUXILIARY AIRFIELD EDWARDS AFB US CA K9L2 34.988 -117.865 695.9 20060101 20200625 723171 99999 EDWARDS AF AUX NORTH BASE US CA K9L2 34.991 -117.863 700.7 20050712 20051231 723174 93783 BURLINGTON ALAMANCE RGL AP US NC KBUY 36.047 -79.477 188.1 20060101 20200625 723174 99999 BURLINGTON ALAMANCE US NC KBUY 36.05 -79.467 188.0 20010811 20051231 723177 63807 MOUNT AIRY/SURRY CO ARPT US NC KMWK 36.46 -80.553 380.1 20060101 20200625 723177 99999 MT AIRY SURRY CO US NC KMWK 36.467 -80.55 380.0 20010811 20051231 723180 99999 BLACKSBURG US VA 37.2 -80.4 641.9 19960101 20050403 723181 13877 BRISTOL TRI CITY AIRPORT US TN KTRI 36.473 -82.404 464.8 19730101 19900228 723183 13877 TRI CITIES RGNL US TN KTRI 36.473 -82.404 464.8 19900228 20100801 723190 93846 ANDERSON REGIONAL AIRPORT US SC KAND 34.498000000000005 -82.71 231.7 20050101 20200626 723191 93807 WINSTON-SALEM REYNOLDS AP US NC KINT 36.134 -80.222 295.7 19850531 19900206 723193 93807 SMITH REYNOLDS AIRPORT US NC KINT 36.134 -80.222 295.7 19900208 20200625 723193 99999 SMITH REYNOLDS US NC KINT 36.133 -80.217 295.0 20000101 20031231 723194 53872 MONROE AIRPORT US NC KEQY 35.016999999999996 -80.62100000000001 207.0 20060101 20200625 723194 99999 MONROE AIRPORT US NC KEQY 35.019 -80.62 207.0 20010811 20051231 723200 93801 RICHARD B RUSSELL AIRPORT US GA KRMG 34.348 -85.161 194.8 19780101 20200625 723200 99999 ROME/RUSSELL(RAMOS) US GA KRMG 34.35 -85.167 196.0 20000101 20031231 723213 99999 PUERTO ESCONDIDO US 19860507 19880531 723230 03856 HUNTSVILLE INTL/C.T.JONES FIELD AIRPORT US AL KHSV 34.644 -86.787 190.2 19730101 20200625 723231 63883 REDSTONE ARMY AIRFIELD US AL KHUA 34.679 -86.685 208.8 20060103 20200625 723231 99999 REDSTONE AAF US AL KHUA 34.683 -86.68299999999999 209.0 20040804 20051230 723235 13896 NORTH WEST ALABAMA REGIONAL AIRPORT US AL KMSL 34.744 -87.6 164.6 19730101 20200625 723240 13882 LOVELL FIELD AIRPORT US TN KCHA 35.034 -85.2 204.2 19730101 20200626 723244 99999 DALLAS BAY SKY PARK US TN KCQN 35.188 -85.178 210.3 19801205 19900801 723245 99999 MONTEAGLE US TN MGL 35.25 -85.85 586.0 19730101 19990823 723246 53868 OAK RIDGE US TN KOQT 36.024 -84.238 277.4 19990102 20100801 723249 00463 MAURY COUNTY AIRPORT US TN KMRC 35.554 -87.179 207.9 20130309 20200626 723249 99999 MAURY CO US TN KMRC 35.554 -87.179 207.6 20180101 20180514 723250 03847 CROSSVILLE MEMORIAL -WHITSON FIELD APT US TN KCSV 35.951 -85.081 569.1 20050101 20200626 723260 13891 MC GHEE TYSON AIRPORT US TN KTYS 35.818000000000005 -83.986 293.2 19480101 20200625 723263 99999 FAYETTEVILLE/KELSO US TN 35.133 -86.55 198.0 19881208 19891112 723264 99999 KNOXVILLE DOWNTOWN ISLAND US TN KDKX 35.964 -83.874 253.9 19790507 20200624 723265 03847 CROSSVILLE MEM WHIT US TN KCSV 35.951 -85.081 570.0 19730101 20100801 723270 13897 NASHVILLE INTERNATIONAL AIRPORT US TN KBNA 36.119 -86.689 182.9 19510101 20200625 723271 99999 JOHN C TUNE US TN KJWN 36.181999999999995 -86.887 150.9 20151210 20200624 723273 13827 SMYRNA AIRPORT US TN KMQY 36.009 -86.52 165.5 20060101 20200626 723273 99999 SMYRNA US TN KMQY 36.0 -86.51700000000001 166.0 19420816 20051231 723274 00372 UPPER CUMBERLAND REGIONAL AIRPORT US TN KSRB 36.056 -85.531 312.1 20120604 20200625 723274 99999 UPPER CUMBERLAND RGNL US TN KSRB 36.056 -85.531 312.4 19810220 20180514 723275 99999 CLARKSVILLE/OUTLAW US TN CKV 36.617 -87.417 168.0 19730418 19810915 723280 03894 OUTLAW FIELD AIRPORT US TN KCKV 36.624 -87.419 170.7 20050101 20200625 723284 93839 MILLINGTON MUNICIPAL AIRPORT US TN KNQA 35.35 -89.867 97.5 20050101 20200625 723284 99999 MILLINGTON MUNI ARP US TN KNQA 35.35 -89.867 98.0 20010811 20041231 723290 03849 CAPE GIRARDEAU RGNL US MO KLOZ 37.086999999999996 -84.07700000000001 369.1 19730101 19850531 723290 03935 CAPE GIRARDEAU RGNL ARPT US MO KCGI 37.225 -89.571 102.4 20100801 20200625 723291 03849 LONDON-CORBIN AP US KY KLOZ 37.086999999999996 -84.07700000000001 369.1 19850531 19900206 723293 03849 LONDON-CORBIN AP US KY KLOZ 37.086999999999996 -84.07700000000001 369.1 19900208 19910220 723300 03975 POPLAR BUFF MUNICIAL ARPT US MO KPOF 36.773 -90.325 99.7 20060101 20200625 723300 99999 POPLAR BLUFF(AMOS) US MO KPOF 36.766999999999996 -90.46700000000001 146.0 19770828 20051231 723301 93862 TUPELO C D LEMONS ARPT US MS KTUP 34.262 -88.771 110.0 19730101 19900228 723303 93862 TUPELO C D LEMONS ARPT US MS KTUP 34.262 -88.771 110.0 19900208 19910228 723305 99999 OXFORD UNIVERSITY US MS 34.383 -89.53299999999999 137.0 19730112 19850311 723306 13825 COLUMBUS AFB AIRPORT US MS KCBM 33.65 -88.45 66.8 19420301 20200626 723306 99999 COLUMBUS AFB US MS KCBM 33.65 -88.45 66.0 20000101 20041227 723307 53893 GOLDEN TRIANGLE RGNL APT US MS KGTR 33.45 -88.583 80.5 20060101 20200626 723307 99999 GOLDEN TRIANGLE RGNL US MS KGTR 33.45 -88.583 80.0 19770102 20051231 723320 93862 TUPELO REGIONAL AIRPORT US MS KTUP 34.262 -88.771 110.0 19910301 20200626 723340 13893 MEMPHIS INTERNATIONAL AIRPORT US TN KMEM 35.056 -89.98700000000001 77.4 19461001 20200625 723345 93839 MEMPHIS NAS US TN KNQA 35.35 -89.867 97.5 19730101 19960429 723346 03811 MCKELLAR-SIPES RGNL ARPT US TN KMKL 35.593 -88.917 132.0 19730101 20200626 723347 03809 DYERSBURG MUNICIPAL ARPT US TN KDYR 36.0 -89.40899999999999 91.4 19430412 20200625 723347 99999 DYERSBURG MUNI US TN KDYR 36.0 -89.4 103.0 20000101 20031231 723348 99999 ABILENE(NEXRAD) US TX KDYX 32.533 -99.25 462.0 19770501 19810812 723350 13877 TRI-CITIES REGIONAL TN/VA AIRPORT US TN KTRI 36.48 -82.399 456.3 20050101 20200625 723400 03952 NORTH LITTLE ROCK AIRPORT US AR KLZK 34.835 -92.26 171.6 20060101 20200624 723400 99999 LITTLE ROCK WSFO US AR KLZK 34.833 -92.25 173.0 19730101 20051231 723401 13963 LITTLE ROCK ADAMS FIELD US AR KLIT 34.727 -92.23899999999999 78.3 19750101 19900228 723403 13963 ADAMS FIELD AIRPORT US AR KLIT 34.727 -92.23899999999999 78.6 19900228 20200625 723405 03930 LITTLE ROCK AFB AIRPORT US AR KLRF 34.917 -92.15 94.8 19560101 20200625 723405 99999 LITTLE ROCK AFB US AR KLRF 34.917 -92.15 95.0 20000102 20041231 723406 93991 WALNUT RIDGE REGIONAL ARPT US AR KARG 36.125 -90.92399999999999 83.2 20050101 20200625 723406 99999 WALNUT RIDGE RGNL US AR KARG 36.125 -90.925 83.0 19421010 20041231 723407 03953 JONESBORO MUNICIPAL ARPT US AR KJBR 35.830999999999996 -90.646 79.9 20060101 20200625 723407 99999 JONESBORO MUNI US AR KJBR 35.833 -90.633 80.0 19730101 20051231 723408 13814 ARKANSAS INTERNATIONAL AIRPORT US AR KBYH 35.967 -89.95 77.4 19420901 20200624 723408 99999 ARKANSAS INTL US AR KBYH 35.967 -89.93299999999999 77.0 20000103 20041230 723409 53869 BLYTHEVILLE MUNI AIRPORT US AR KHKA 35.94 -89.831 77.7 20060101 20200625 723409 99999 BLYTHEVILLE MUNI US AR KHKA 35.933 -89.833 78.0 20010811 20051231 723410 99999 PAGE OK. US 34.683 -94.617 883.0 19771026 19950611 723415 03962 MEMORIAL FIELD AIRPORT US AR KHOT 34.29 -93.06 163.1 20060101 20200625 723415 99999 MEMORIAL FLD US AR KHOT 34.467 -93.083 165.0 19730101 20051231 723416 13925 STUTTGART MUNICIPAL ARPT US AR KSGT 34.6 -91.574 68.3 20060101 20200625 723416 99999 STUTTGART MUNI US AR KSGT 34.6 -91.56700000000001 68.0 19910911 20051231 723417 93988 GRIDER FIELD AIRPORT US AR KPBF 34.18 -91.934 63.1 19730101 20200625 723417 99999 GRIDER FLD US AR KPBF 34.167 -91.93299999999999 63.0 20000101 20031231 723418 13977 TEXARKANA REGIONAL AIRPORT-WEBB FIELD US AR KTXK 33.455999999999996 -93.988 110.0 19460729 20200625 723419 93992 S. AR RGNL AT GDWIN FLD AP US AR KELD 33.221 -92.814 76.8 19730101 20200625 723424 53919 MONTICELLO MUNI US AR KLLQ 33.635999999999996 -91.756 82.3 20050101 20091231 723424 99999 MONTICELLO MUNI US AR 33.567 -91.71700000000001 36.0 19990103 20041231 723425 00373 HARRELL FIELD AIRPORT US AR KCDH 33.617 -92.76700000000001 40.2 20070501 20200626 723425 99999 HARRELL FLD US AR KCDH 33.623000000000005 -92.76299999999999 39.6 19840320 20180516 723429 53920 MUNICIPAL AIRPORT US AR KRUE 35.258 -93.095 122.8 20060101 20200625 723429 99999 RUSSELLVILLE RGNL US AR KRUE 35.266999999999996 -93.1 123.0 20010811 20051231 723434 03973 SPRINGDALE MUNICIPAL ARPT US AR KASG 36.167 -94.117 412.4 20060101 20200625 723434 99999 SPRINGDALE MUNI US AR KASG 36.183 -94.117 412.0 19850703 20051231 723435 53921 MOUNT IDA US AR KMWT 34.547 -93.57799999999999 214.0 20050101 20200625 723435 99999 MOUNT IDA US AR KMWT 34.55 -93.583 214.0 19990426 20041231 723436 53922 NW ARKANSAS REGIONAL ARPT US AR KXNA 36.283 -94.3 392.3 20060101 20200625 723436 99999 NW ARKANSAS RGNL US AR KXNA 36.282 -94.307 392.0 20020201 20051231 723439 53918 OZARK REGIONAL AIRPORT US AR KBPK 36.369 -92.47 282.9 20060101 20200625 723439 99999 OZARK RGNL US AR KBPK 36.369 -92.471 283.0 19990103 20051231 723440 13964 FORT SMITH REGIONAL AIRPORT US AR KFSM 35.333 -94.363 136.9 19470101 20200625 723441 54921 ALBION MUNICIPAL AIRPORT US NE KBVN 41.73 -98.054 548.3 20060101 20200625 723441 99999 ALBION MUNI US NE KBVN 41.733000000000004 -98.05 550.0 20040824 20051231 723443 53955 SMITH FIELD AIRPORT US AR KSLG 36.191 -94.491 363.6 20060101 20200625 723443 99999 SMITH FLD US AR KSLG 36.2 -94.48299999999999 364.0 19920408 20051231 723444 03978 BENTONVILLE MUNI/LOUIS M THADEN FIELD AIRPORT US AR KVBT 36.35 -94.21700000000001 395.0 20060101 20200625 723444 99999 BENTONVILLE MUNI THA US AR KVBT 36.346 -94.219 395.0 19920408 20051231 723445 93993 DRAKE FIELD AIRPORT US AR KFYV 36.01 -94.169 381.3 19730101 20200625 723445 99999 DRAKE FLD US AR KFYV 36.0 -94.167 381.0 20000101 20031231 723446 13971 BOONE CO US AR KHRO 36.266999999999996 -93.15700000000001 422.1 19460801 20100731 723447 03918 MARION COUNTY RGNL AIRPORT US AR KFLP 36.291 -92.59 219.2 20050101 20200625 723447 99999 FLIPPIN (AWOS) US AR KFLP 36.3 -92.46700000000001 350.0 19920409 20041231 723448 53934 BATESVILLE REGIONAL ARPT US AR KBVX 35.726 -91.647 141.1 20060101 20200625 723448 99999 BATESVILLE RGNL US AR KBVX 35.726 -91.647 141.0 19920409 20051231 723449 53954 ROGERS MUNI-CARTER FLD APT US AR KROG 36.372 -94.10700000000001 412.4 20060101 20200625 723449 99999 ROGERS MUNI CARTER F US AR KROG 36.372 -94.10700000000001 414.0 19920506 20051231 723450 13971 BOONE COUNTY AIRPORT US AR KHRO 36.266999999999996 -93.15700000000001 418.8 20050101 20200625 723480 99999 WEST PLAINS MO US 36.733000000000004 -91.85 308.0 19730101 19960808 723484 53901 WEST PLAINS MUNICIPAL ARPT US MO KUNO 36.878 -91.90299999999999 372.8 20060101 20200625 723484 99999 WEST PLAINS MUNI US MO KUNO 36.883 -91.9 374.0 20010811 20051231 723485 99999 POPLAR BLUFF(AMOS)& US MO 36.766999999999996 -90.46700000000001 116.0 19760820 19770728 723489 03935 CAPE GIRARDEAU RGNL US MO KCGI 37.225 -89.571 107.3 19730101 20100801 723490 99999 MONETTE US MO 36.917 -94.01700000000001 437.0 19730101 20130430 723493 99999 WAPPAPELLO US MO 36.933 -90.28299999999999 101.0 19880810 19881202 723495 13987 JOPLIN REGIONAL AIRPORT US MO KJLN 37.152 -94.495 296.3 19730101 20200625 723510 13966 SHEPPARD AFB/WICHITA FALLS MUNI AP US TX KSPS 33.979 -98.493 310.0 19420413 20200625 723513 99999 SHEPPARD AFB US TX KSHP 33.967 -98.48299999999999 310.6 19870731 20200511 723520 13902 ALTUS AFB AIRPORT US OK KLTS 34.65 -99.26700000000001 421.2 19430201 20200625 723520 99999 ALTUS AFB US OK KLTS 34.65 -99.26700000000001 420.0 20000103 20041230 723525 93986 HOBART MUNICIPAL AIRPORT US OK KHBR 34.989000000000004 -99.053 474.3 19730101 20200625 723526 03932 CLINTON-SHERMAN AIRPORT US OK KCSM 35.357 -99.204 585.8 20060101 20200625 723526 99999 CLINTON-SHERMAN US OK KCSM 35.333 -99.2 586.0 19580818 20051231 723527 13975 GAGE/SHATTUCK US OK KGAG 36.297 -99.76899999999999 671.2 19460801 20100709 723528 03981 FREDERICK MUNICIPAL AIRPT US OK KFDR 34.344 -98.98299999999999 382.5 20060101 20200625 723528 99999 FREDERICK MUNI US OK KFDR 34.352 -98.984 383.0 19980514 20051231 723529 53929 ARDMORE DOWNTOWN EXE US OK K1F0 34.147 -97.12299999999999 257.3 20060101 20130430 723529 99999 ARDMORE DOWNTOWN EXECUTIVE US OK 34.147 -97.12299999999999 257.3 19990114 20051231 723530 13967 WILL ROGERS WORLD AIRPORT US OK KOKC 35.389 -97.601 391.7 19411214 20200625 723535 13909 VANCE AIR FORCE BASE US OK KEND 36.333 -97.917 398.1 20060103 20200625 723535 99999 VANCE AFB US OK KEND 36.333 -97.917 398.0 19420101 20051222 723536 53986 ENID WOODRING REGIONAL AIRPORT US OK KWDG 36.383 -97.8 355.7 20060101 20200625 723536 99999 ENID WOODRING RGNL US OK KWDG 36.383 -97.78299999999999 356.0 19790131 20051231 723537 53913 GUTHRIE MUNICIPAL AIRPORT US OK KGOK 35.852 -97.414 325.5 20060101 20200625 723537 99999 GUTHRIE MUNI US OK KGOK 35.85 -97.417 326.0 19990114 20051231 723540 13919 TINKER AFB AIRPORT US OK KTIK 35.417 -97.383 393.5 19421214 20200625 723540 99999 TINKER AFB US OK KTIK 35.417 -97.383 397.0 20000101 20041231 723544 03954 WILEY POST AIRPORT US OK KPWA 35.534 -97.647 395.3 20060101 20200625 723544 99999 OKLAHOMA CITY/WILEY US OK KPWA 35.533 -97.65 396.0 19801023 20051231 723545 03965 STILLWATER REGIONAL ARPT US OK KSWO 36.162 -97.089 299.9 20060101 20200625 723545 99999 STILLWATER RGNL US OK KSWO 36.15 -97.083 305.0 19730103 20051231 723546 13969 PONCA CITY MUNI US OK KPNC 36.736999999999995 -97.102 304.2 19460801 20100731 723550 13945 HENRY POST AAF AIRPORT US OK KFSI 34.65 -98.4 362.4 19390901 20200625 723550 99999 FORT SILL US OK KFSI 34.6 -98.4 360.0 20000104 20041231 723555 93940 ARDMORE MUNICIPAL AIRPORT US OK KADM 34.3 -97.01700000000001 221.0 20060101 20200626 723555 99999 ARDMORE MUNICIPAL US OK KADM 34.3 -97.01700000000001 232.0 19430301 20051231 723556 93953 DAVIS FIELD AIRPORT US OK KMKO 35.657 -95.361 185.9 20060101 20200626 723556 99999 MUSKOGEE/DAVIS FLD US OK KMKO 35.65 -95.367 186.0 19370911 20051231 723560 13968 TULSA INTERNATIONAL AIRPORT US OK KTUL 36.199 -95.887 198.1 19470101 20200625 723564 53908 RICHARD LLOYD JONES JR APT US OK KRVS 36.039 -95.984 194.5 20060101 20200625 723564 99999 RICHARD LLOYD JONES US OK KRVS 36.033 -95.98299999999999 194.0 19801015 20051231 723565 03959 BARTLESVILLE MUNICIPAL AIRPORT US OK KBVO 36.768 -96.02600000000001 217.9 20060101 20200625 723565 99999 BARTLESVILLE MUNI US OK KBVO 36.766999999999996 -96.01700000000001 217.0 19730101 20051231 723566 93950 MC ALESTER REGIONAL ARPT US OK KMLC 34.882 -95.78299999999999 234.7 19530701 20200625 723567 99999 TULSA WSO/(INOLA) US OK 36.18 -95.56 223.7 19770506 19770728 723570 03948 UNIVERSITY OF OKLAHOMA WESTHEIMER AIRPORT US OK KOUN 35.25 -97.46700000000001 360.3 20060101 20200625 723570 99999 NORMAN/MAX WESTHEIM US OK KOUN 35.233000000000004 -97.45 345.0 20000210 20051231 723575 03950 LAWTON-FORT SILL RGNL ARPT US OK KLAW 34.558 -98.417 325.8 20050101 20200625 723575 99999 LAWTON MUNICIPAL US OK KLAW 34.567 -98.417 338.0 19850130 20041231 723600 23051 CLAYTON MUNICIPAL AIRPARK AIRPORT US NM KCAO 36.449 -103.154 1511.8 19770827 20200625 723601 23007 CHILDRESS MUNICIPAL AP US TX KCDS 34.427 -100.28299999999999 595.0 19430215 19800901 723604 23007 CHILDRESS MUNICIPAL US TX KCDS 34.427 -100.28299999999999 595.0 19800910 20100731 723620 93040 SOCORRO MUNICIPAL AP US NM KONM 34.067 -106.9 1485.9 20070608 20200625 723620 99999 SOCORRO MUNI US NM KONM 34.022 -106.90299999999999 1485.9 19730101 20180514 723625 93057 GRANTS-MILAN MUNI AIRPORT US NM KGNT 35.165 -107.902 1987.3 19480101 20200625 723625 99999 GRANTS MILAN MUNI US NM KGNT 35.167 -107.9 1992.0 20000101 20031231 723626 03737 CURRITUCK COUNTY AIRPORT US NC KONX 36.399 -76.016 4.9 20050101 20200625 723626 93044 CURRITUCK CO US NC KONX 36.4 -76.017 5.0 19730101 19730108 723626 99999 CURRITUCK CO US NC KONX 36.4 -76.017 5.0 20040831 20041231 723627 23081 GALLUP MUNICIPAL AIRPORT US NM KGUP 35.514 -108.794 1972.4 19730101 20200625 723628 93942 CURTIS FIELD AIRPORT US TX KBBD 31.178 -99.324 556.9 20060101 20200625 723628 99999 BRADY/CURTIS FIELD US TX KBBD 31.183000000000003 -99.31700000000001 557.0 20050831 20051231 723629 53998 ORANGE COUNTY AIRPORT US TX KORG 30.069000000000003 -93.804 4.0 20060101 20200626 723629 99999 ORANGE CO US TX KORG 30.069000000000003 -93.801 4.0 20050831 20051231 723630 23047 AMARILLO RICK HUSBAND INTL AIRPORT US TX KAMA 35.23 -101.704 1098.5 19430301 20200625 723635 03024 HUTCHINSON COUNTY AIRPORT US TX KBGD 35.695 -101.395 930.9 20060101 20200625 723635 99999 HUTCHINSON CO US TX KBGD 35.7 -101.4 931.0 19990103 20051231 723640 99999 DONA ANA COUNTY INTL JETPORT ARPT/SANTA TERESA US NM KDNA 31.88 -106.70299999999999 1253.6 19950911 20200514 723647 03034 DOUBLE EAGLE II AIRPORT US NM KAEG 35.145 -106.795 1779.1 20060101 20200625 723647 99999 DOUBLE EAGLE II US NM KAEG 35.15 -106.8 1779.0 20010811 20051231 723650 23050 ALBUQUERQUE INTL SUNPORT AIRPORT US NM KABQ 35.042 -106.616 1618.5 19410701 20200625 723653 99999 ALBUQUERQUE RADAR US NM KZAB 35.167 -106.56700000000001 1621.0 20100512 20100512 723654 93091 LOS ALAMOS AIRPORT US NM KLAM 35.883 -106.28299999999999 2185.7 20060101 20200625 723654 99999 LOS ALAMOS US NM KLAM 35.879 -106.26899999999999 2186.0 19800228 20051231 723655 99999 MORIARTY US NM 34.98 -106.05 1890.0 19730101 20090331 723656 23049 SANTA FE MUNICIPAL AIRPORT US NM KSAF 35.617 -106.089 1933.7 19460801 20200625 723656 99999 SANTA FE CO. MUNI US NM KSAF 35.617 -106.083 1935.0 20000101 20031231 723657 03014 TORREON US NM K4SL 35.799 -107.181 2105.9 20060101 20130226 723657 99999 TORREON US NM K4SL 35.8 -107.18 2106.0 19730101 20051231 723658 23090 FOUR CORNERS REGIONAL ARPT US NM KFMN 36.744 -108.229 1674.9 19730101 20200625 723658 99999 FOUR CORNERS RGNL US NM KFMN 36.733000000000004 -108.21700000000001 1678.0 20000101 20031231 723659 99999 TAOS US NM KE23 36.383 -105.6 2126.0 19730101 19950720 723660 23007 CHILDRESS MUNICIPAL ARPT US TX KCDS 34.427 -100.28299999999999 594.7 20050101 20200625 723663 03012 TAOS REGIONAL AIRPORT US NM KSKX 36.45 -105.667 2161.3 20060101 20200625 723663 99999 TAOS MUNI APT(AWOS) US NM KSKX 36.45 -105.667 2161.0 19880319 20051231 723671 23051 CLAYTON MUNICIPAL AIRPARK US NM KCAO 36.449 -103.154 1515.5 19730101 19770831 723675 93092 CHAMA AWRS US NM KE33 36.9 -106.583 2393.0 20060101 20120930 723675 99999 CHAMA AWRS US NM KE33 36.883 -106.56700000000001 2393.0 19840607 20051231 723676 23048 TUCUMCARI MUNICIPAL ARPT US NM KTCC 35.181999999999995 -103.603 1239.0 19460801 20200625 723676 99999 TUCUMCARI MUNI US NM KTCC 35.183 -103.6 1239.0 20000101 20031231 723677 23054 LAS VEGAS MUNICIPAL ARPT US NM KLVS 35.654 -105.14200000000001 2095.2 19460801 20200625 723678 23052 RATON MUNICIPAL CREWS FIELD A US NM KRTN 36.741 -104.50200000000001 1935.2 19730101 19810402 723700 93167 KINGMAN AIRPORT US AZ KIGM 35.258 -113.93299999999999 1042.4 19990101 20200625 723700 99999 KINGMAN US AZ KIGM 35.259 -113.95 1051.0 19430329 19981231 723710 03162 PAGE MUNICIPAL AIRPORT US AZ KPGA 36.926 -111.448 1313.7 20060101 20200625 723710 99999 PAGE MUNI (AMOS) US AZ KPGA 36.933 -111.45 1304.0 19770827 20051231 723721 23184 PRESCOTT MUNICIPAL AP US AZ KPRC 34.652 -112.421 1539.8 19730101 19900228 723723 23184 ERNEST A. LOVE FIELD ARPT US AZ KPRC 34.652 -112.421 1536.8 19900228 20200625 723740 23194 WINSLOW-LINDBERGH REGIONAL AIRPORT US AZ KINW 35.028 -110.721 1489.3 19730101 20200625 723745 00374 PAYSON AIRPORT US AZ KPAN 34.257 -111.339 1572.2 20100115 20200625 723745 93139 PAYSON US AZ KPAN 34.257 -111.339 1572.0 19730101 20180516 723746 99999 SHOW LOW MUNICIPAL US AZ 34.25 -110.03299999999999 1943.0 19730102 19850125 723747 03101 SHOW LOW MUNICIPAL AIRPORT US AZ KSOW 34.264 -110.008 1954.1 20060101 20200625 723747 99999 SHOW LOW RGNL US AZ KSOW 34.266999999999996 -110.0 1955.0 19850117 20051231 723750 03103 FLAGSTAFF PULLIAM AIRPORT US AZ KFLG 35.144 -111.666 2134.5 20050101 20200625 723750 99999 FLAGSTAFF AIRPORT US AZ KFLG 35.133 -111.667 2135.0 19730101 20041231 723751 99999 US 19760305 19770213 723754 93027 ST JOHNS INDUS AIRPK ARPT US AZ KSJN 34.518 -109.37899999999999 1747.4 20060101 20200625 723754 99999 ST JOHNS INDUSTRIAL US AZ KSJN 34.516999999999996 -109.383 1748.0 19901022 20051231 723755 03103 FLAGSTAFF PULLIAM ARPT US AZ KFLG 35.144 -111.666 2139.1 19480101 20041231 723756 00375 SEDONA AIRPORT US AZ KSEZ 34.85 -111.78299999999999 1471.3 20090302 20200625 723756 99999 SEDONA US AZ KSEZ 34.849000000000004 -111.788 1471.3 19920408 20180515 723757 99999 FLAGSTAFF NEXRAD US AZ FSX 34.567 -111.2 2291.0 20001130 20021021 723758 54928 RUSK COUNTY AIRPORT US WI KRCX 45.497 -91.001 377.3 20090617 20200626 723758 99999 RUSK COUNTY US WI KRCX 45.5 -91.0 377.0 20050719 20090616 723759 53990 MC CURTAIN COUNTY REGIONAL AIRPORT US OK K4O4 33.909 -94.859 143.9 20060101 20200625 723759 99999 MC CURTAIN CO RGNL US OK K4O4 33.909 -94.859 144.0 20050722 20051231 723760 99999 FLAGSTAFF US AZ 35.217 -111.81700000000001 2181.6 19981002 20200624 723761 23901 CALDWELL MUNICIPAL AIRPORT US TX KRWV 30.516 -96.704 119.2 20060101 20200625 723761 99999 CALDWELL MUNI US TX KRWV 30.517 -96.7 119.0 20050607 20051231 723762 93244 SANTA YNEZ AIRPORT US CA KIZA 34.607 -120.07600000000001 204.5 20060105 20200625 723762 99999 SANTA YNEZ US CA KIZA 34.606 -120.07600000000001 205.0 20050430 20051222 723780 99999 US 19730101 19760305 723781 99999 GRAND CANYON PARK US AZ 35.95 -112.15 2014.0 19760309 19900206 723783 03195 GRAND CANYON NATL PARK APT US AZ KGCN 35.946 -112.155 2013.5 20060101 20200625 723783 99999 GRAND CANYON NATL P US AZ KGCN 35.95 -112.133 2014.0 19900208 20051231 723785 99999 PAGE MUNI (AMOS) & US AZ 36.933 -111.45 1314.0 19730102 19770802 723786 99999 KINGMAN (AMOS) & US AZ 35.25 -113.93299999999999 1033.0 19730101 19770802 723787 99999 LAKE HAVASU (AWOS) US AZ 34.467 -111.76700000000001 147.0 19730420 19940508 723788 53135 LAUGHLIN/BULLHEAD INTERNATIONAL AIRPORT US AZ KIFP 35.157 -114.559 211.8 20060101 20200625 723788 99999 LAUGHLIN BULLHEAD IN US AZ KIFP 35.15 -114.56700000000001 212.0 19910419 20051231 723800 99999 US 19730101 19750814 723801 99999 US 19750814 19770213 723805 23179 NEEDLES AIRPORT US CA KEED 34.768 -114.619 271.3 19770217 20200625 723810 23114 EDWARDS AIR FORCE BASE US CA KEDW 34.9 -117.867 704.4 19411201 20200625 723810 99999 EDWARDS AFB US CA KEDW 34.933 -117.9 705.0 20000101 20041231 723814 93121 TWENTYNINE PALMS NAAS US CA KNXP 34.3 -116.167 695.9 19770711 19891127 723815 23161 BARSTOW-DAGGETT AIRPORT US CA KDAG 34.854 -116.786 584.3 19490101 20200625 723816 03159 GENERAL WILLIAM J. FOX AIRFIELD AIRPORT US CA KWJF 34.741 -118.212 712.6 19740601 20200625 723820 23182 PDLE PRODN FLT/TST AF PLT US CA KPMD 34.629 -118.084 769.2 19730101 20200625 723820 99999 PALMDALE PRODUCTION US CA KPMD 34.633 -118.083 774.0 20000101 20031231 723825 23131 SOUTHERN CALIFORNIA LOGISTICS AIRPORT US CA KVCV 34.583 -117.383 879.4 19420101 20200625 723825 99999 S CALIF LOGISTICS US CA KVCV 34.6 -117.383 879.0 20041230 20041231 723826 93194 INYOKERN AIRPORT US CA KIYK 35.667 -117.833 748.9 20060101 20131104 723826 99999 INYOKERN US CA KIYK 35.659 -117.83 748.0 19730621 20051231 723830 23187 SANDBERG US CA KSDB 34.744 -118.72399999999999 1374.7 19730101 20200625 723840 23155 MEADOWS FIELD AIRPORT US CA KBFL 35.434 -119.054 149.1 19411001 20200625 723850 03133 YUCCA FLATS TEST S T US NV 36.95 -116.05 1196.9 19730101 19790514 723860 23169 MCCARRAN INTERNATIONAL AIRPORT US NV KLAS 36.071999999999996 -115.163 664.5 19730101 20200625 723870 03160 DESERT ROCK AIRPORT US NV KDRA 36.621 -116.02799999999999 984.5 19780515 20200625 723874 99999 BICYCLE LAKE FORT IRWIN AAF(N US CA 35.283 -116.617 716.0 19791111 19831205 723884 93218 JOLON HUNTER LIGGETT MIL RES US CA 36.0 -121.23299999999999 317.0 19880105 19891127 723890 93193 FRESNO YOSEMITE INTERNATIONAL AIRPORT US CA KFAT 36.78 -119.719 101.5 19411204 20200625 723894 03181 MAMMOTH YOSEMITE AIRPORT US CA KMMH 37.633 -118.85 2172.6 20060103 20200625 723894 99999 MAMMOTH YOSEMITE US CA KMMH 37.624 -118.838 2173.0 19840331 20051217 723895 23149 PORTERVILLE MUNICIPAL ARPT US CA KPTV 36.029 -119.06299999999999 134.7 20060101 20200625 723895 99999 PORTERVILLE MUNI US CA KPTV 36.033 -119.06700000000001 135.0 19920129 20051231 723896 93144 VISALIA MUNICIPAL AIRPORT US CA KVIS 36.317 -119.4 89.9 20060101 20200625 723896 99999 VISALIA MUNI US CA KVIS 36.317 -119.4 90.0 19730118 20051231 723897 23167 FRESNO CHANDLER DOWNTOWN AP US CA KFCH 36.733000000000004 -119.81700000000001 84.1 19950423 19970923 723897 99999 FRESNO CHANDLER EXECUTIVE US CA KFCH 36.732 -119.82 84.7 20150717 20200514 723898 53119 HANFORD MUNICIPAL AIRPORT US CA KHJO 36.319 -119.62899999999999 75.9 20060101 20200625 723898 99999 HANFORD MUNI US CA KHJO 36.317 -119.633 74.0 19981005 20051231 723900 93226 SAN SIMEON/PT. PIED US CA K87Q 35.666 -121.285 21.0 19990101 20050607 723900 99999 POINT PIEDRAS BLANCA US CA 35.67 -121.28 17.0 19430607 19981231 723910 93111 POINT MUGU US CA KNTD 34.117 -119.117 4.0 19730101 20200625 723914 93218 JOLON HUNTER LIGGETT MIL RES US CA 36.0 -121.23299999999999 317.0 19790315 19880105 723915 99999 SANTA CRUZ ISLAND US CA KSZN 34.02 -119.75 10.0 19730103 19800617 723920 99999 SANTA PAULA US CA 34.35 -119.06700000000001 75.0 19730207 19760305 723921 99999 POINT ARGUELLO(CGS) US CA 34.567 -120.667 2.0 19760309 19861124 723923 99999 SANTA BARBARA HARBOR US CA 34.4 -119.7 8.0 19770827 19960701 723924 99999 VENTURA HARBOR US CA 34.25 -119.25 7.0 19770827 19960701 723925 23190 SANTA BARBARA MUNICIPAL AIRPORT US CA KSBA 34.426 -119.84299999999999 2.7 19730101 20200625 723926 23136 CAMARILLO AIRPORT US CA KCMA 34.217 -119.083 23.5 20050101 20200625 723926 99999 CAMARILLO US CA KCMA 34.217 -119.1 23.0 19730101 20041231 723927 93110 OXNARD AIRPORT US CA KOXR 34.201 -119.20700000000001 11.0 19440401 20200625 723927 99999 OXNARD US CA KOXR 34.201 -119.20700000000001 14.0 20000101 20031231 723928 99999 SANTA PAULA ARPT US CA KSZP 34.35 -119.083 78.9 19841106 19841106 723929 99999 OXNARD / CHANNEL ISLAND US CA 34.17 -119.22 2.0 19760130 19960701 723930 93214 VANDENBERG AFB US CA KVBG 34.717 -120.56700000000001 112.5 20060101 20200625 723930 99999 VANDENBERG AFB US CA KVBG 34.75 -120.56700000000001 121.0 19510703 20051231 723935 99999 VANDENBERG RANGE US CA KXVW 34.717 -120.56700000000001 100.0 19950505 20020308 723940 23273 SANTA MARIA PUB/CAPT G A HANCOCK AP US CA KSMX 34.899 -120.449 73.8 19730101 20200625 723960 99999 US 19730101 19760210 723961 99999 PT.PIEDRAS BLANCA US CA 35.667 -121.28299999999999 10.0 19760730 19770728 723965 93209 PASO ROBLES MUNICIPAL ARPT US CA KPRB 35.67 -120.62799999999999 246.9 19411201 20200625 723980 93720 SALBRY-OCN CTY WICO RGNL AP US MD KSBY 38.341 -75.513 14.3 20050101 20200625 723990 14711 HARRISBURG INTERNATIONAL AIRPORT US PA KMDT 40.196 -76.77199999999999 95.1 20050101 20200625 724006 03701 CHESAPEAKE REGIONAL ARPT US VA KCPK 36.666 -76.321 6.1 20060101 20200625 724006 99999 CHESAPEAKE RGNL US VA KCPK 36.667 -76.317 6.0 20010811 20051231 724007 03719 SUFFOLK MUNICIPAL AIRPORT US VA KSFQ 36.681999999999995 -76.602 22.0 20050101 20200625 724007 99999 SUFFOLK EXECUTIVE US VA KSFQ 36.683 -76.6 22.0 19990114 20041231 724008 93781 HALIFAX COUNTY AIRPORT US NC KRZZ 36.439 -77.71 78.0 20060101 20090625 724008 99999 HALIFAX CO US NC KRZZ 36.433 -77.717 78.0 19990114 20051231 724010 13740 RICHMOND INTERNATIONAL AIRPORT US VA KRIC 37.512 -77.32300000000001 50.0 19420924 20200625 724014 93714 DINWIDDIE COUNTY AIRPORT US VA KPTB 37.183 -77.5 58.8 20060101 20200625 724014 99999 DINWIDDIE CO US VA KPTB 37.183 -77.5 59.0 19920807 20051231 724015 13726 BLACKSTONE FAA AIRPORT US VA KBKT 37.083 -77.95 19430601 19430701 724015 99999 ALLEN C PERKINSON BLACKSTONE AAF / FT PICKETT VIRGINIA USA US VA KBKT 37.074 -77.958 133.8 20030922 20200623 724016 93736 CHARLOTTESVILLE ALBEMARLE ARPT US VA KCHO 38.137 -78.455 195.1 19730101 20200625 724016 99999 CHARLOTTESVILLE ALB US VA KCHO 38.133 -78.45 195.0 20000101 20031231 724017 03707 FARMVILLE REGIONAL AIRPORT US VA KFVX 37.358000000000004 -78.438 127.1 20060101 20200625 724017 99999 FARMVILLE RGNL US VA KFVX 37.35 -78.433 127.0 19940718 20051231 724019 93773 WAKEFIELD MUNICIPAL ARPT US VA KAKQ 36.983000000000004 -77.001 33.8 20060101 20200625 724019 99999 WAKEFIELD MUNI US VA KAKQ 36.983000000000004 -77.0 34.0 19971210 20040121 724020 93739 WALLOPS FLIGHT FACILITY AIRPORT US VA KWAL 37.937 -75.46600000000001 14.0 19730101 20200625 724020 99999 WALLOPS ISL STN US VA KWAL 37.933 -75.483 12.0 19800101 19850311 724024 93739 WALLOPS ISLAND UAU US VA KWAL 37.937 -75.471 14.6 19791231 19910228 724025 99999 WEIRWOOD / KELLAM FIELD US VA 37.47 -75.88 12.0 19850814 19870813 724026 03716 ACCOMACK COUNTY AIRPORT US VA KMFV 37.647 -75.76100000000001 14.3 20060101 20200625 724026 99999 ACCOMACK CO US VA KMFV 37.647 -75.76100000000001 14.0 19750916 20051231 724027 99999 PARRAMORE BEACH US VA 37.53 -75.62 1.0 19750916 19940630 724028 99999 CAPE CHARLES COAST GUARD STATION US VA 37.25 -76.0 2.0 19790507 19910113 724029 93775 RICHMOND (ASOS) US VA KOFP 37.708 -77.434 62.5 20080101 20091231 724029 99999 RICHMOND (ASOS) US VA 37.7 -77.433 63.0 19970318 19970318 724030 93738 WASHINGTON DULLES INTERNATIONAL AP US VA KIAD 38.935 -77.447 88.4 19730101 20200625 724033 03706 SHANNON AIRPORT US VA KEZF 38.266999999999996 -77.449 25.9 20060101 20200625 724033 99999 SHANNON US VA KEZF 38.266999999999996 -77.45 26.0 19941016 20051231 724035 13773 QUANTICO MCAF US VA KNYG 38.504 -77.305 3.1 19730101 20200625 724036 03710 MANSAS RGNL/H P DAVS FD AP US VA KHEF 38.721 -77.515 58.5 20060101 20200625 724036 99999 MANASSAS RGNL DAVIS US VA KHEF 38.721 -77.515 59.0 19920408 20051231 724037 93728 DAVISON AAF AIRPORT US VA KDAA 38.717 -77.183 22.3 19570201 20200625 724037 99999 DAVISON AAF US VA KDAA 38.717 -77.183 22.0 20000101 20041231 724040 13721 NAVAL AIR STATION US MD KNHK 38.3 -76.417 11.9 19450301 20200625 724043 03756 EASTON/NEWNAM FIELD AIRPORT US MD KESN 38.804 -76.069 22.0 20060428 20200625 724043 99999 EASTON/NEWMAN/FLD US MD KESN 38.8 -76.067 22.0 19960229 20050524 724045 93720 SALISBURY OCEAN CIT US MD KSBY 38.341 -75.51 18.3 19730101 20100731 724046 99999 INDIAN RIVER COAST GUARD STATION US DE 38.62 -75.07 1.0 19750716 19920316 724047 99999 THOMAS POINT COAST GUARD STATION US MD 38.9 -76.43 1.0 19750916 19860903 724048 99999 COVE POINT COAST GUARD LIGHT STA US 38.38 -76.38 1.0 19750916 19860902 724049 99999 SMITH POINT / SUNNYBANK US VA 37.88 -76.18 1.0 19760130 19770110 724050 13743 RONALD REAGAN WASHINGTON NATL AP US VA KDCA 38.847 -77.035 3.1 19360901 20200625 724053 03717 WINCHESTER REGIONAL ARPT US VA KOKV 39.143 -78.14399999999999 221.6 20060101 20200625 724053 99999 WINCHESTER RGNL US VA KOKV 39.15 -78.15 222.0 19950101 20051231 724055 03714 LESSBURG EXECUTIVE AIRPORT US VA KJYO 39.078 -77.558 118.6 20060101 20200625 724055 99999 LEESBURG EXECUTIVE US VA KJYO 39.078 -77.558 119.0 19950101 20051231 724056 63805 MOUNTIAN EMPIRE AIRPORT US VA KMKJ 36.895 -81.35 780.0 20060101 20200625 724056 99999 MOUNTAIN EMPIRE US VA KMKJ 36.895 -81.35 780.0 19950423 20051231 724057 13701 PHILLIPS ARMY AIRFIELD US MD KAPG 39.472 -76.17 17.4 20060103 20200625 724057 99999 PHILLIPS AAF US MD KAPG 39.467 -76.167 17.0 19770701 20051228 724058 53818 VIRGINIA HIGHLANDS AIRPORT US VA KVJI 36.683 -82.03299999999999 630.9 20060101 20200625 724058 99999 VIRGINIA HIGHLANDS US VA KVJI 36.683 -82.03299999999999 636.0 19840607 20051231 724060 93721 BALTIMORE-WASHINGTON INTL AIRPORT US MD KBWI 39.173 -76.684 47.6 19450101 20200625 724064 99999 FORT RITCHIE/SITE R US MD 39.733000000000004 -77.433 275.0 19610911 20010612 724065 93733 TIPTON AIRPORT US MD KFME 39.083 -76.767 46.0 19591113 19890929 724065 99999 TIPTON US MD KFME 39.085 -76.759 45.7 20050519 20200624 724066 93706 HGRTWN RGNL-R.HNSON FLD AP US MD KHGR 39.705999999999996 -77.73 214.9 20060101 20200625 724066 99999 HAGERSTOWN RGNL RIC US MD KHGR 39.7 -77.717 215.0 19730122 20051231 724067 93744 MARTIN STATE AIRPORT US MD KMTN 39.333 -76.417 6.4 20060101 20200625 724067 99999 MARTIN STATE US MD KMTN 39.317 -76.4 7.0 19700701 20051231 724069 99999 STILLPOND COAST GUARD STATION US MD 39.33 -76.1 8.0 19750916 19890803 724070 93730 ATLANTIC CITY INTERNATIONAL AIRPORT US NJ KACY 39.452 -74.567 18.3 19470101 20200625 724074 93780 SOUTH JERSEY REGIONAL ARPT US NJ KVAY 39.941 -74.84100000000001 14.9 20060101 20200625 724074 99999 SOUTH JERSEY RGNL US NJ KVAY 39.95 -74.85 16.0 19950105 20051231 724075 13735 MILLVILLE MUNICIPAL ARPT US NJ KMIV 39.366 -75.078 18.3 19730101 20200625 724076 13724 ATLANTIC CITY (CGS) US NJ ATLN 39.379 -74.42399999999999 3.4 19750915 19910215 724077 54779 AEROFLEX-ANDOVER AIRPORT US NJ K12N 41.00899999999999 -74.736 176.8 20060101 20200625 724077 99999 AEROFLEX ANDOVER US NJ K12N 41.016999999999996 -74.733 178.0 19990426 20051231 724080 13739 PHILADELPHIA INTERNATIONAL AIRPORT US PA KPHL 39.873000000000005 -75.227 3.1 19730101 20200625 724083 99999 DOVER(NEXRAD) US DE KDOX 38.833 -75.433 15.0 19820625 19821121 724084 04739 MONMOUTH EXECUTIVE US NJ KBLM 40.183 -74.117 48.0 19830421 19991231 724084 54760 MONMOUTH EXECUTIVE AIRPORT US NJ KBLM 40.183 -74.133 48.5 20060101 20200625 724084 99999 MONMOUTH EXECUTIVE US NJ KBLM 40.183 -74.117 48.0 20000101 20051231 724085 94732 NE PHILADELPHIA AIRPORT US PA KPNE 40.079 -75.013 32.0 19730101 20200625 724085 99999 NORTHEAST PHILADELPH US PA KPNE 40.082 -75.01100000000001 37.0 20000101 20031231 724086 14793 WILLOW GROVE NAS US PA KNXX 40.2 -75.15 110.0 19730101 20110412 724087 99999 MANASQUAN INL COAST GUARD STATIO US 40.1 -74.02 1.0 19431101 19960409 724088 13707 DOVER AFB AIRPORT US DE KDOV 39.133 -75.467 8.5 19421201 20200625 724088 99999 DOVER AFB US DE KDOV 39.117 -75.467 9.0 20000101 20041231 724089 13781 WILMINGTON NEW CAST US DE KILG 39.673 -75.601 24.4 19420801 20100731 724090 14780 NAES/MAXFIELD FIELD US NJ KNEL 40.033 -74.35 30.8 19730101 20200625 724093 13764 SUSSEX COUNTY AIRPORT US DE KGED 38.69 -75.363 14.0 20060101 20200625 724093 99999 SUSSEX CO US DE KGED 38.683 -75.367 15.0 19870202 20051231 724094 54743 ESSEX COUNTY AIRPORT US NJ KCDW 40.876 -74.283 52.7 20060101 20200625 724094 99999 ESSEX CO US NJ KCDW 40.883 -74.283 53.0 19810805 20051231 724095 14792 TRENTON MERCER AIRPORT US NJ KTTN 40.277 -74.816 57.9 19730101 20200625 724095 99999 TRENTON MERCER US NJ KTTN 40.266999999999996 -74.8 65.0 20000101 20031231 724096 14706 MCGUIRE AFB AIRPORT US NJ KWRI 40.016999999999996 -74.6 39.9 19420801 20200625 724096 99999 MC GUIRE AFB US NJ KWRI 40.016999999999996 -74.583 40.0 20000101 20041231 724097 54738 MORRISTOWN MUNICIPAL AIRPORT US NJ KMMU 40.8 -74.417 57.0 20060101 20200625 724097 99999 MORRISTOWN MUNI US NJ KMMU 40.8 -74.417 57.0 19810112 20051231 724098 99999 AMBROSE / FT. TILDEN US NY 40.45 -73.82 1.0 19750915 19870430 724099 99999 SANDY HOOK COAST GUARD STATION US NJ 40.47 -74.02 5.0 19750911 19960627 724100 13733 LYNCHBURG RGNL/PRESTON GLENN FLD AP US VA KLYH 37.321 -79.207 286.5 19730101 20200626 724104 99999 SOMERSET ARPT ASOS US NJ KSMQ 40.633 -74.667 32.0 19990114 20041209 724105 93760 SHENANDOAH VALLEY RGNL ART US VA KSHD 38.264 -78.896 366.1 20060101 20200625 724105 99999 SHENANDOAH VALLEY RG US VA KSHD 38.266999999999996 -78.9 366.0 19730101 20051231 724106 13728 DANVILLE REGIONAL AIRPORT US VA KDAN 36.573 -79.335 174.0 19730101 20200625 724106 99999 DANVILLE RGNL US VA KDAN 36.567 -79.333 174.0 20000101 20031231 724107 53895 TWIN COUNTY AIRPORT US VA KHLX 36.766 -80.82300000000001 820.8 20060101 20200625 724107 99999 TWIN COUNTY US VA KHLX 36.766999999999996 -80.817 821.0 19950101 20051231 724110 13741 ROANOKE REGIONAL/WOODRUM FIELD AP US VA KROA 37.317 -79.97399999999999 358.1 19730101 20200625 724113 53881 VIRGINIA TECH AIRPORT US VA KBCB 37.208 -80.408 649.8 20060101 20200625 724113 99999 VIRGINIA TECH ARPT US VA KBCB 37.208 -80.408 650.0 19941016 20051231 724115 93757 INGALLS FIELD AIRPORT US VA KHSP 37.95 -79.817 1156.1 20060101 20200625 724115 99999 INGALLS FLD US VA KHSP 37.95 -79.833 1156.0 19730101 20051231 724116 13868 NEW RIVER VALLEY AIRPORT US VA KPSK 37.133 -80.683 641.6 19940818 20200625 724116 99999 DUBLIN/NEW RIV VLLY US VA KPSK 37.133 -80.683 642.0 20000101 20031231 724117 63802 LONESOME PINE AIRPORT US VA KLNP 36.988 -82.53 818.1 20060101 20200625 724117 99999 LONESOME PINE US VA KLNP 36.983000000000004 -82.53299999999999 818.0 19800227 20051231 724118 93797 MCKNBRG-BRUNWICK RGNL ARPT US VA KAVC 36.688 -78.054 134.7 20060101 20200625 724118 99999 MECKLENBURG BRUNSWI US VA KAVC 36.683 -78.05 135.0 19970123 20051231 724120 03872 RALEIGH COUNTY MEMORIAL AIRPORT US WV KBKW 37.784 -81.123 766.3 19730101 20200626 724125 03859 MERCER COUNTY AIRPORT US WV KBLF 37.298 -81.204 870.5 20000101 20200625 724125 99999 MERCER CO US WV KBLF 37.296 -81.208 871.0 19730101 19991231 724126 99999 WHITE SULPHUR SPRNG US WV KSSU 37.766999999999996 -80.333 549.0 19730101 19861008 724127 53801 GREENBRIER VALLEY ARIPORT US WV KLWB 37.867 -80.4 701.7 20060101 20200625 724127 99999 GREENBRIER VALLEY US WV KLWB 37.858000000000004 -80.399 702.0 19730101 20051231 724130 99999 US 19730101 19760304 724131 99999 PIKEVILLE (RAMOS) US KY 5I3 37.483000000000004 -82.51700000000001 209.0 19760305 19900206 724133 99999 PIKEVILLE REMOTE AUTOMATIC METEO US 37.48 -82.52 446.0 19900208 19920729 724140 13866 YEAGER AIRPORT US WV KCRW 38.379 -81.59 277.4 19730101 20200625 724165 03725 GRANT CO US WV KW99 38.994 -79.14399999999999 292.6 20060101 20130501 724165 99999 GRANT CO US WV 38.983000000000004 -79.15 293.5 20010811 20051231 724170 13729 ELKINS-RAND CO-J.RAND FIELD AIRPORT US WV KEKN 38.89 -79.855 597.7 19730101 20200625 724175 03802 HARRISON/MARION RGNL ARPT US WV KCKB 39.296 -80.229 366.7 20060101 20200625 724175 99999 HARRISON MARION RGN US WV KCKB 39.283 -80.217 371.0 19730101 20051231 724176 13736 MGTN RGNL-W L B HART FD AP US WV KMGW 39.643 -79.916 378.0 19730101 20200625 724177 13734 ETRN WV RGNL/SHPHERD FD AP US WV KMRB 39.404 -77.945 162.8 19730101 20200625 724180 13781 NEW CASTLE COUNTY AIRPORT US DE KILG 39.674 -75.60600000000001 24.1 20050101 20200625 724190 03889 JULIAN CARROLL AIRPORT US KY KJKL 37.591 -83.314 416.1 20050101 20200626 724200 14891 MANSFIELD LAHM REGIONAL AIRPORT US OH KMFD 40.82 -82.51799999999999 393.2 20050101 20200625 724210 93814 CINCINNATI/NORTHERN KENTUCKY INTL AP US KY KCVG 39.044000000000004 -84.67200000000001 269.1 19730101 20200625 724220 93820 BLUE GRASS AIRPORT US KY KLEX 38.041 -84.60600000000001 298.7 19730101 20200625 724230 93821 LOUISVILLE INTL-STANDIFORD FIELD AP US KY KSDF 38.181 -85.73899999999999 148.7 19730101 20200625 724233 53841 CAPITAL CITY AIRPORT US KY KFFT 38.185 -84.90299999999999 245.1 20060101 20200625 724233 99999 CAPITAL CITY ARPT US KY KFFT 38.183 -84.9 245.0 19970123 20051231 724235 13810 BOWMAN FIELD AIRPORT US KY KLOU 38.228 -85.664 164.6 19411101 20200625 724235 99999 BOWMAN FLD US KY KLOU 38.217 -85.65 166.0 20000101 20031231 724236 03889 JACKSON CARROLL ARPT US KY KJKL 37.591 -83.314 413.6 19730102 20100801 724237 53803 OWENSBORO-DAVIESS COUNTY AIRPORT US KY KOWB 37.75 -87.167 122.8 20060101 20200625 724237 99999 OWENSBORO DAVIESS C US KY KOWB 37.733000000000004 -87.167 124.0 19730101 20051231 724238 53886 HENDERSON CITY-COUNTY ARPT US KY KEHR 37.8 -87.68299999999999 118.0 20060101 20200625 724238 99999 HENDERSON CITY CO US KY KEHR 37.8 -87.68299999999999 118.0 19921008 20051231 724240 13807 GODMAN AAF AIRPORT US KY KFTK 37.9 -85.96700000000001 230.1 19450301 20200625 724240 99999 FORT KNOX/GODMAN US KY KFTK 37.9 -85.96700000000001 230.0 20000101 20041231 724243 03849 LDON-CRBN APT-MGEE FLD APT US KY KLOZ 37.086999999999996 -84.07700000000001 362.1 19910321 20200626 724250 03860 TRI-STATE/M.J.FERGUS US WV KHTS 38.365 -82.555 251.2 19730101 20200625 724270 03804 OAK RIDGE US TN KPKB 39.2 -81.27 263.3 19730101 19850531 724270 53868 OAK RIDGE US TN KOQT 36.023 -84.234 274.3 20100801 20200625 724270 99999 OAK RIDGE US TN KOQT 36.016999999999996 -84.21700000000001 279.0 20020503 20100731 724271 03804 PARKERSBURG WOOD COUNTY AP US WV KPKB 39.2 -81.27 263.3 19850531 19900206 724273 03804 MID-OHIO VALLEY REGIONAL AIRPORT US WV KPKB 39.34 -81.444 253.3 19900208 20200625 724275 14894 WHEELING OHIO COUNTY ARPT US WV KHLG 40.176 -80.64699999999999 359.4 19730101 20200625 724275 99999 WHEELING OHIO CO US WV KHLG 40.167 -80.65 364.0 20000101 20031231 724276 53859 DAYTON-WRIGHT BROTHERS APT US OH KMGY 39.594 -84.226 293.2 20060101 20200625 724276 99999 DAYTON WRIGHT BROTHE US OH KMGY 39.589 -84.225 292.0 19990114 20051231 724280 14821 PORT COLUMBUS INTERNATIONAL AIRPORT US OH KCMH 39.991 -82.87700000000001 248.7 19450401 20200625 724284 63825 BOLTON FIELD AIRPORT US OH KTZR 39.9 -83.133 275.8 20060101 20200625 724284 99999 BOLTON FLD US OH KTZR 39.9 -83.133 276.0 19810807 20051231 724285 13812 RICKENBACKER INTL AIRPORT US OH KLCK 39.817 -82.93299999999999 226.8 19420801 20200625 724285 99999 RICKENBACKER INTL US OH KLCK 39.8 -82.917 227.0 19930101 20041231 724286 93824 ZANESVILLE MUNICIPAL ARPT US OH KZZV 39.944 -81.892 268.2 19730101 20200625 724287 04848 METCALF FIELD AIRPORT US OH KTDZ 41.563 -83.476 189.6 20060101 20200625 724287 99999 METCALF FLD US OH KTDZ 41.567 -83.48299999999999 190.0 19980514 20051231 724288 04804 OHIO STATE UNIVERSITY ARPT US OH KOSU 40.078 -83.07799999999999 275.8 20060101 20200625 724288 99999 OHIO STATE UNIVERSI US OH KOSU 40.067 -83.06700000000001 276.0 19730622 20051231 724289 99999 TOLEDO COAST GUARD STATION US OH 41.7 -83.45 180.0 19760926 19960701 724290 93815 J.M.COX DAYTON INTERNATIONAL AIRPORT US OH KDAY 39.906 -84.219 305.7 19730101 20200625 724293 00376 MOUNT WERNER US CO K3MW 40.46 -106.76 3241.2 20050322 20140721 724293 99999 MOUNT WERNER US CO K3MW 40.46 -106.76 3241.0 20080101 20081231 724294 53844 FAIRFIELD COUNTY AIRPORT US OH KLHQ 39.756 -82.65700000000001 264.9 20060101 20200625 724294 99999 FAIRFIELD CO US OH KLHQ 39.75 -82.65 265.0 19970123 20051231 724295 03867 SPRINGFIELD BECKLEY US OH KSGH 39.833 -83.833 320.0 19730103 19991229 724295 63888 SPRINGFIELD-BECKLEY MUNICIPAL AIRPORT US OH KSGH 39.84 -83.84 320.3 20060103 20200625 724295 99999 SPRINGFIELD BECKLEY US OH KSGH 39.833 -83.833 320.0 20000103 20051229 724296 13841 AIRBORNE AIRPARK AIRPORT US OH KILN 39.431 -83.777 325.2 19430801 20200625 724296 99999 AIRBORNE AIRPARK US OH KILN 39.433 -83.8 328.0 20000101 20031231 724297 93812 CINA MUNI APT/LUKN FD APT US OH KLUK 39.103 -84.419 149.4 19730101 20200626 724298 04850 LIMA ALLEN COUNTY AIRPORT US OH KAOH 40.708 -84.027 297.2 20060101 20200625 724298 99999 LIMA ALLEN CO US OH KAOH 40.707 -84.027 297.0 19980514 20051231 724303 14813 AKRON FULTON INTL AIRPORT US OH KAKR 41.038000000000004 -81.464 318.2 19990502 20200625 724303 99999 AKRON FULTON INTL US OH KAKR 41.033 -81.467 325.0 20000101 20031231 724320 93817 EVANSVILLE REGIONAL AIRPORT US IN KEVV 38.044000000000004 -87.521 121.9 19730101 20200625 724325 99999 RACEWAY US IN 38.049 -87.381 122.0 19860203 19890829 724330 03879 SALEM-LECKRONE AIRPORT US IL KSLO 38.65 -88.96700000000001 173.7 20060101 20200625 724330 99999 SALEM-LECKRONE US IL KSLO 38.65 -88.96700000000001 174.0 19730101 20051231 724335 93894 MOUNT VERNON AIRPORT US IL KMVN 38.323 -88.85799999999999 146.3 20060101 20200626 724335 99999 MOUNT VERNON US IL KMVN 38.317 -88.867 146.0 19730101 20051231 724336 93810 SOUTHERN ILLINOIS AIRPORT US IL KMDH 37.78 -89.25 123.8 20060101 20200625 724336 99999 SOUTHERN ILLINOIS US IL KMDH 37.766999999999996 -89.25 125.0 19730101 20051231 724337 03838 VANDALIA FAA AIRPORT US IL KVLA 38.983000000000004 -89.167 19730101 19730515 724338 13802 SCOTT AIR FORCE BASE/MIDAMERICA AIRPORT US IL KBLV 38.55 -89.85 139.9 19380101 20200625 724338 99999 SCOTT AFB MIDAMERIC US IL KBLV 38.533 -89.833 140.0 20000101 20041231 724339 03865 WILLIAMSON COUNTY RGNL APT US IL KMWA 37.75 -89.0 140.2 20060101 20200625 724339 99999 WILLIAMSON CO RGNL US IL KMWA 37.75 -89.01700000000001 144.0 19760116 20051231 724340 13994 LAMBERT-ST LOUIS INTERNATIONAL AP US MO KSTL 38.753 -90.374 161.9 19730101 20200625 724343 99999 ST LOUIS NEXRAD US MO 36.7 -90.68299999999999 220.0 20000817 20020424 724345 03966 SPIRIT OF ST LOUIS AIRPORT US MO KSUS 38.657 -90.656 140.8 19730101 20200625 724347 53904 ST CHARLES CO SMARTT ARPT US MO KSET 38.929 -90.428 132.9 20060101 20200625 724347 99999 ST CHARLES CO SMARTT US MO KSET 38.933 -90.43299999999999 133.0 20010811 20051231 724350 03816 BARKLEY REGIONAL AIRPORT US KY KPAH 37.056 -88.774 125.9 19890101 20200625 724354 63815 SOMERSET-PULASKI CO-J.T. WILSON FIELD AIRPORT US KY KSME 37.054 -84.615 282.6 20060101 20200626 724354 99999 SOMERSET PULASKI CO US KY KSME 37.053000000000004 -84.616 283.0 19920807 20051231 724356 53866 SHELBYVILLE MINUCIPAL ARPT US IN KGEZ 39.578 -85.803 245.1 20060101 20200625 724356 99999 SHELBYVILLE MUNI US IN KGEZ 39.583 -85.8 245.0 20010811 20051231 724360 13803 COLUMBUS BAKALAR US IN KBAK 39.266999999999996 -85.9 199.9 19840816 19840823 724361 13803 COLUMBUS BAKALAR US IN KBAK 39.266999999999996 -85.9 199.9 19430501 19900206 724363 13803 COLUMBUS MUNICIPAL AIRPORT US IN KBAK 39.266999999999996 -85.9 200.0 19900208 20200625 724363 99999 COLUMBUS MUNI US IN KBAK 39.25 -85.883 200.0 20000102 20041231 724365 53896 HUNTINGBURG AIRPORT US IN KHNB 38.249 -86.954 161.2 20060101 20200625 724365 99999 HUNTINGBURG US IN KHNB 38.25 -86.95 161.0 19940103 20051231 724370 93823 TERRE HAUTE HULMAN REGIONAL A US IN HUF 39.45 -87.3 175.3 19480101 19850531 724370 99999 TERRE HAUTE HULMAN REGIONAL A US IN HUF 39.45 -87.3 175.3 20011208 20030504 724371 93823 TERRE HAUTE HULMAN REGIONAL A US IN 39.45 -87.3 175.3 19850531 19900206 724373 03868 TER HUTE INTL-HULMAN FD AP US IN KHUF 39.452 -87.309 175.3 20050101 20200625 724373 93823 TERRE HAUTE INTL HU US IN KHUF 39.45 -87.3 180.0 19900208 19991231 724373 99999 TERRE HAUTE INTL HU US IN KHUF 39.45 -87.3 180.0 20000101 20041231 724375 03893 MONROE COUNTY AIRPORT US IN KBMG 39.133 -86.617 257.3 20060101 20200625 724375 99999 MONROE CO US IN KBMG 39.133 -86.617 258.0 19730101 20051231 724380 93819 INDIANAPOLIS INTERNATIONAL AIRPORT US IN KIND 39.725 -86.28200000000001 241.1 19421006 20200625 724384 53842 EAGLE CREEK AIRPARK ARPT US IN KEYE 39.825 -86.296 250.9 20060101 20200625 724384 99999 EAGLE CREEK AIRPARK US IN KEYE 39.830999999999996 -86.294 251.0 19990114 20051231 724385 04828 ANRSN MUNI DRNGTON FLD AP US IN KAID 40.117 -85.617 274.3 20060101 20200625 724385 99999 ANDERSON MUNI DARLIN US IN KAID 40.117 -85.617 280.0 19840816 20051231 724386 14835 PURDUE UNIVERSITY AIRPORT US IN KLAF 40.412 -86.93700000000001 182.6 19730101 20200625 724387 54807 KOKOMO MUNICIPAL AIRPORT US IN KOKK 40.528 -86.059 253.0 20060101 20200625 724387 99999 KOKOMO MUNI US IN KOKK 40.533 -86.06700000000001 253.0 19940728 20051231 724388 14829 GOSHEN MUNICIPAL AIRPORT US IN KGSH 41.533 -85.78299999999999 253.0 19961002 20200626 724388 99999 GOSHEN MUNI US IN KGSH 41.533 -85.8 252.0 20000101 20031231 724389 12991 SHIP SHOAL 207A US LA KGSM 28.517 -90.96700000000001 32.3 20061020 20100513 724389 99999 SHIP SHOAL 207A US LA KGSM 28.53 -90.98 1.0 20040904 20050920 724390 93822 ABRAHAM LINCOLN CAPITAL AIRPORT US IL KSPI 39.845 -89.684 181.1 19730101 20200625 724394 99999 ALTON US IL 38.883 -90.05 166.0 19840225 19840229 724395 03958 ST LOUIS REGIONAL AIRPORT US IL KALN 38.883 -90.05 165.5 20060101 20200625 724395 99999 ST LOUIS RGNL US IL KALN 38.883 -90.03299999999999 166.0 19730101 20051231 724396 93989 QUINCY RGNL BALDWIN US IL KUIN 39.937 -91.19200000000001 233.5 19730101 20100801 724397 54831 CENTRAL ILLINOIS REGIONAL AIRPORT US IL KBMI 40.483000000000004 -88.95 263.7 20060101 20200625 724397 99999 CENTRAL ILLINOIS RG US IL KBMI 40.467 -88.917 265.0 19760402 20051231 724398 99999 WEST PLAINS US IL 36.883 -91.9 374.0 19760402 20010516 724400 13995 SPRINGFIELD-BRANSON REGIONAL AIRPORT US MO KSGF 37.24 -93.39 384.7 19730101 20200625 724420 13997 ROLLA NATIONAL AIRPORT US MO KVIH 38.132 -91.765 338.3 20050101 20200625 724430 93989 QUINCY RGNL-BLDWN FLD ARPT US IL KUIN 39.937 -91.19200000000001 234.4 20050101 20200625 724450 03945 COLUMBIA REGIONAL AIRPORT US MO KCOU 38.817 -92.21799999999999 272.2 19730101 20200625 724453 03994 SEDALIA MEMORIAL AIRPORT US MO KDMO 38.704 -93.18299999999999 274.3 20060101 20200625 724453 99999 SEDALIA MEMORIAL US MO KDMO 38.707 -93.176 277.0 19970123 20051231 724454 93996 FARMINGTON REGIONAL ARPT US MO KFAM 37.760999999999996 -90.428 288.7 19950210 20200625 724454 99999 FARMINGTON RGNL US MO KFAM 37.760999999999996 -90.429 289.0 20000101 20031231 724455 14938 KIRKSVILLE REGIONAL ARPT US MO KIRK 40.097 -92.54299999999999 294.4 19730101 20200625 724455 99999 KIRKSVILLE RGNL US MO KIRK 40.083 -92.53299999999999 294.0 20000101 20031231 724456 13997 ROLLA/VICHY AIRPORT US MO KVIH 38.131 -91.76799999999999 346.6 19730101 20100801 724457 03938 WAYNESVILLE REGIONAL AIRPORT AT FORNEY FIELD US MO KTBN 37.75 -92.15 353.3 19630320 20200625 724457 99999 WAYNESVILLE RGNL AR US MO KTBN 37.733000000000004 -92.133 353.0 20000101 20041231 724458 03963 JEFFERSON CITY MEMO ARPT US MO KJEF 38.591 -92.156 174.7 20060101 20200625 724458 99999 JEFFERSON CITY MEM US MO KJEF 38.583 -92.15 167.0 19731129 20051231 724459 53931 LEE C FINE MEMORIAL ARPT US MO KAIZ 38.096 -92.553 264.9 20060101 20200625 724459 99999 LEE C FINE MEM US MO KAIZ 38.1 -92.55 265.0 19850423 20051231 724460 03947 KANSAS CITY INTERNATIONAL AIRPORT US MO KMCI 39.297 -94.73100000000001 306.3 19730101 20200625 724461 13988 KANSAS CITY DOWNTOWN AP US MO KMKC 39.121 -94.59700000000001 228.6 19480101 19900206 724462 03073 CROCKETT HOUSTON COUNTY AP US TX KDKR 31.307 -95.404 106.1 20050611 20200516 724462 99999 HOUSTON CO US TX KDKR 31.307 -95.404 106.1 20080103 20081230 724463 13988 C.R. WHEELER DOWNTOWN ARPT US MO KMKC 39.121 -94.59700000000001 226.2 19900208 20200625 724463 99999 CHARLES B WHEELER D US MO KMKC 39.117 -94.583 231.0 20000101 20031231 724464 53916 AGRICULTURAL SCIENCE CENTER US MO KCDJ 39.823 -93.579 234.4 20060101 20200625 724464 99999 CHILLICOTHE AGRI-SC US MO KCDJ 39.817 -93.583 234.0 19990114 20051231 724466 03929 RICHARD GEBAUR US MO KGVW 38.844 -94.56 321.9 19540327 20041231 724466 99999 RICHARDS-GEBAUR AP US MO KGVW 38.85 -94.55 333.0 20000101 20000110 724467 13930 WHITEMAN AFB AIRPORT US MO KSZL 38.717 -93.55 265.2 19421201 20200625 724467 99999 WHITEMAN AFB US MO KSZL 38.717 -93.55 265.0 20000101 20041231 724468 03967 JOHNSON CO EXECUTIVE ARPT US KS KOJC 38.85 -94.73899999999999 326.1 20060101 20200625 724468 99999 JOHNSON CO EXECUTIVE US KS KOJC 38.85 -94.73299999999999 334.0 19730101 20051231 724475 93909 NEW CENTURY AIRCENTER ARPT US KS KIXD 38.832 -94.89 331.3 19781124 20200626 724475 99999 JOHNSON CO. INDUSTR US KS KIXD 38.833 -94.883 331.0 20000101 20031231 724490 13993 ROSECRANS MEMORIAL AIRPORT US MO KSTJ 39.774 -94.92299999999999 249.3 19440301 20200625 724490 99999 ST. JOSEPH/ROSE-CRA US MO KSTJ 39.766999999999996 -94.917 249.0 20000101 20031231 724500 03928 WICHITA EISENHOWER NATIONAL US KS KICT 37.648 -97.43 402.6 19730101 20200625 724502 13932 STROTHER FIELD AIRPORT US KS KWLD 37.168 -97.037 350.5 20060101 20200625 724502 99999 STROTHER FLD US KS KWLD 37.167 -97.03299999999999 354.0 19970123 20051231 724503 99999 SPENCER US ID 44.35 -112.18 1793.0 19970123 20041224 724504 03974 COLONEL JAMES JABARA ARPT US KS KAAO 37.746 -97.221 433.1 20060101 20200625 724504 99999 COL JAMES JABARA US KS KAAO 37.75 -97.21700000000001 433.0 19870710 20051231 724505 03923 MCCONNELL AFB AIRPORT US KS KIAB 37.617 -97.26700000000001 417.9 19531201 20200625 724505 99999 MC CONNELL AFB US KS KIAB 37.617 -97.26700000000001 418.0 20000103 20041231 724506 13986 HUTCHINSON MUNICIPAL ARPT US KS KHUT 38.065 -97.861 470.3 19450201 20200625 724506 99999 HUTCHINSON MUNI US KS KHUT 38.067 -97.85 470.0 20000101 20031231 724507 13981 CHANUTE MARTIN JOHNSON APT US KS KCNU 37.67 -95.484 300.2 19730101 20200625 724508 03997 LAWRENCE MUNICIPAL AIRPORT US KS KLWC 39.008 -95.212 253.6 20060101 20200626 724508 99999 LAWRENCE MUNI US KS KLWC 39.010999999999996 -95.21700000000001 254.0 19970123 20051231 724509 53939 NEWTON-CITY-COUNTY AIRPORT US KS KEWK 38.068000000000005 -97.275 467.0 20060101 20200625 724509 99999 NEWTON CITY CO US KS KEWK 38.058 -97.26700000000001 467.0 19920408 20051231 724510 13985 DODGE CITY REGIONAL AIRPORT US KS KDDC 37.769 -99.96799999999999 787.0 19430419 20200626 724515 23064 GARDEN CITY REGIONAL ARPT US KS KGCK 37.927 -100.725 878.4 19430201 20200626 724515 99999 GARDEN CITY RGNL US KS KGCK 37.917 -100.71700000000001 881.0 20000101 20031231 724516 23020 LIBERAL MUNICIPAL AIRPORT US KS KLBL 37.05 -100.96700000000001 875.7 20060101 20200625 724516 99999 LIBERAL MUNI US KS KLBL 37.033 -100.95 879.0 19430618 20051231 724517 13940 GREAT BEND MUNICIPAL ARPT US KS KGBD 38.35 -98.867 573.0 20060101 20200625 724517 99999 GREAT BEND MUNI US KS KGBD 38.35 -98.867 575.0 19430801 20051231 724518 03968 HAYS REGIONAL AIRPORT US KS KHYS 38.85 -99.26700000000001 609.0 20060101 20200626 724518 99999 HAYS RGNL US KS KHYS 38.842 -99.273 609.0 19800825 20051231 724519 93967 COFFEYVILLE MUNICIPAL ARPT US KS KCFV 37.091 -95.566 229.2 20060101 20200625 724519 99999 COFFEYVILLE MUNI US KS KCFV 37.1 -95.56700000000001 230.0 19970123 20051231 724520 03957 MEDICINE LODGE US KS KP28 37.284 -98.553 467.9 19780310 20200625 724530 13969 PONCA CITY REGIONAL ARPT US OK KPNC 36.736999999999995 -97.102 304.8 20050101 20200625 724550 13947 MARSHALL ARMY AIRFIELD US KS KFRI 39.05 -96.76700000000001 324.6 19380817 20200625 724550 99999 FT RILEY/MARSHALL A US KS KFRI 39.1 -96.76700000000001 320.0 20000103 20041006 724555 03936 MANHATTAN REGIONAL AIRPORT US KS KMHK 39.135 -96.679 321.9 20060101 20200625 724555 99999 MANHATTAN RGNL US KS KMHK 39.133 -96.667 322.0 19730101 20051231 724556 13989 EMPORIA MUNICIPAL AIRPORT US KS KEMP 38.329 -96.195 364.5 19730101 20200625 724556 99999 EMPORIA MUNI US KS KEMP 38.332 -96.191 368.0 20000101 20031231 724560 13996 PHILIP BILLARD MUNICIPAL AIRPORT US KS KTOP 39.073 -95.626 267.0 19730101 20200626 724565 13920 FORBES FIELD AIRPORT US KS KFOE 38.95 -95.664 325.2 19421001 20200625 724565 99999 FORBES FLD US KS KFOE 38.95 -95.65 329.0 20000101 20031231 724567 13921 SHERMAN AAF US KS KFLV 39.367 -94.917 235.0 19370203 19981001 724580 13984 BLOSSER MUNICIPAL AIRPORT US KS KCNK 39.551 -97.65100000000001 447.8 19730101 20200625 724585 93997 RUSSELL MUNICIPAL AIRPORT US KS KRSL 38.876 -98.809 568.2 19430201 20200625 724586 03919 SALINA MUNICIPAL AIRPORT US KS KSLN 38.8 -97.65 386.8 19730101 20200625 724586 13922 SALINA MUNI US KS KSLN 38.783 -97.65 393.0 19421101 19650601 724600 99999 ELKHART / ELKHART-MORTON COUNTY US 37.0 -101.88 1102.0 19771006 20050504 724604 93076 ELKHART-MORTON CO AIRPORT US KS KEHA 37.0 -101.883 1104.0 20060101 20200625 724604 99999 ELKHART MORTON CO US KS KEHA 37.001 -101.88 1104.0 19920505 20051231 724620 23061 SAN LUIS VALLEY REGIONAL AIRPORT US CO KALS 37.439 -105.861 2296.1 19730101 20200625 724625 93005 DURA-LA PLATA CO AIRPORT US CO KDRO 37.143 -107.76 2033.0 20060101 20200625 724625 99999 DURANGO-LA PLATA CO US CO KDRO 37.14 -107.76 2038.0 19730101 20051231 724626 99999 DURANGO AVIATION WEATHER REPORTI US 37.28 -107.87 2012.0 19730101 19910215 724627 03011 TELLURIDE REGIONAL AIRPORT US CO KTEX 37.95 -107.9 2770.9 20060101 20200625 724627 99999 TELLURIDE RGNL US CO KTEX 37.95 -107.917 2767.0 19870213 20051231 724630 99999 LAMAR US CO 38.083 -102.617 1103.0 19741113 20040306 724631 99999 US 19730101 19741024 724635 23067 LA JUNTA MUNICIPAL AIRPORT US CO KLHX 38.049 -103.51299999999999 1278.3 19421101 20200625 724636 03013 LAMAR MUNICIPAL AIRPORT US CO KLAA 38.07 -102.68799999999999 1129.0 20060101 20200625 724636 99999 LAMAR MUNI US CO KLAA 38.07 -102.68799999999999 1130.0 19951128 20051231 724640 93058 PUEBLO MEMORIAL AIRPORT US CO KPUB 38.289 -104.506 1441.4 19421001 20200625 724645 23070 PERRY STOKES AIRPORT US CO KTAD 37.262 -104.338 1749.9 19730101 20200625 724646 03028 COMANCHE NATIONAL GRASSLAND US CO KSPD 37.283 -102.61399999999999 1335.9 20060101 20200625 724646 99999 SPRINGFIELD COMANCHE US CO KSPD 37.283 -102.617 1335.0 19990114 20051231 724650 23065 RENNER FIELD/GOODLAND MINI AIRPORT US KS KGLD 39.367 -101.693 1114.4 19730101 20200625 724655 93990 HILL CITY MUNICIPAL ARPT US KS KHLC 39.376 -99.83 666.9 19730101 20200625 724660 93037 CITY OF COLORADO SPRINGS MUNICIPAL AP US CO KCOS 38.81 -104.68799999999999 1884.0 19420901 20200625 724663 99999 PETERSON AFB US CO 38.817 -104.73299999999999 1876.0 19420901 19480401 724665 93010 LIMON MUNICIPAL AIRPORT US CO KLIC 39.275 -103.666 1638.0 19730101 20200625 724665 99999 LIMON MUNI US CO KLIC 39.266999999999996 -103.667 1635.0 20000101 20031231 724666 93067 CENTENNIAL AIRPORT US CO KAPA 39.57 -104.84899999999999 1793.1 20060101 20200625 724666 99999 CENTENNIAL US CO KAPA 39.57 -104.84899999999999 1793.0 19801204 20051231 724670 03017 DENVER INTL AP US CO KDEN 39.833 -104.65799999999999 1655.4 19741113 19940529 724671 99999 LEADVILLE/LAKE CO. US CO LXV 39.25 -106.3 3096.0 19480103 19900206 724673 93009 LEADVILLE/LAKE COUNTY APT US CO KLXV 39.229 -106.31700000000001 3027.3 20060101 20200625 724673 99999 LAKE CO US CO KLXV 39.22 -106.31700000000001 3026.0 19900208 20051231 724674 94050 MEEKER AIRPORT US CO KEEO 40.044000000000004 -107.889 1940.4 20060101 20200625 724674 99999 MEEKER US CO KEEO 40.049 -107.88600000000001 1957.0 19781031 20051231 724675 23063 EAGLE CO REGIONAL AIRPORT US CO KEGE 39.65 -106.917 1980.3 19730101 20200625 724675 99999 EAGLE CO RGNL US CO KEGE 39.633 -106.917 1993.0 20000101 20031231 724676 93073 ASPEN-PITKIN COUNTY ARPT US CO KASE 39.23 -106.87100000000001 2353.1 20060101 20200625 724676 99999 ASPEN PITKIN CO SARD US CO KASE 39.223 -106.869 2384.0 19730101 20051231 724677 93007 GUNSN-CRSTED BUTTE RGL APT US CO KGUC 38.533 -106.93299999999999 2336.6 20020902 20200625 724677 99999 GUNNISON CO. (AWOS) US CO KGUC 38.534 -106.93299999999999 2339.0 19730101 20041231 724678 94033 STEAMBOAT SPRINGS/BOB ADAMS FIELD AIRPORT US CO KSBS 40.516999999999996 -106.867 2096.7 20110214 20200625 724678 99999 STEAMBOAT SPRINGS B US CO KSBS 40.516 -106.866 2096.0 19840607 20040402 724679 99999 WINTER PARK RESORT US CO 39.88 -105.77 2771.0 19860501 19930715 724680 94015 BUTTS AAF AIRPORT US CO KFCS 38.678000000000004 -104.757 1779.4 19660915 20200625 724680 99999 FORT CARSON/BUTTS US CO KFCS 38.7 -104.76700000000001 1789.0 20000104 20041230 724684 99999 SALIDA US CO 38.516999999999996 -106.01700000000001 2186.0 19870403 19920707 724685 99999 SALIDA/ALEXANDER US CO 0V2 38.533 -106.05 2282.0 19730101 19860910 724686 99999 GUNNISON AVIATION WEATHER REPORT US 38.6 -106.92 2380.0 19730101 19910211 724689 03026 KIT CARSON COUNTY AIRPORT US CO KITR 39.245 -102.28399999999999 1277.7 20060101 20200625 724689 99999 KIT CARSON COUNTY US CO KITR 39.25 -102.28299999999999 1286.0 19990114 20051231 724690 23062 DENVER WSFO US CO KDNR 39.75 -104.867 1612.0 19400515 19950301 724690 99999 DENVER/STAPLETON INT US CO KDNR 39.75 -104.867 1611.9 20021121 20021121 724694 00450 FRONT RANGE AIRPORT US CO KFTG 39.784 -104.538 1680.4 20051203 20200130 724694 99999 FRONT RANGE US CO KFTG 39.785 -104.54299999999999 1680.1 20080101 20180516 724695 23036 BUCKLEY AIR FORCE BASE US CO KBKF 39.717 -104.75 1726.1 19440301 20200625 724695 99999 BUCKLEY AFB US CO KBKF 39.7 -104.75 1726.0 20000101 20041231 724696 99999 FRASER US CO 39.95 -105.833 2609.0 19730101 19740624 724697 99999 FORT COLLINS DOWNTOWN US CO 40.588 -105.042 1505.4 19730101 19940901 724698 24015 COLORADO PLAINS RGNL ARPT US CO KAKO 40.167 -103.21700000000001 1421.3 19730101 20200625 724698 99999 COLORADO PLAINS RGNL US CO KAKO 40.183 -103.21700000000001 1437.0 20000101 20031231 724699 03065 ATCT ROCKY MOUNTAIN METRO US CO KBJC 39.9 -105.117 1705.4 20060101 20200625 724699 99999 BROOMFIELD/JEFFCO US CO KBJC 39.917 -105.117 1728.0 19810801 20051231 724700 93141 CARBON COUNTY AIRPORT US UT KPUC 39.609 -110.755 1804.7 20060101 20200625 724700 99999 PRICE/CARBON COUNTY US UT KPUC 39.617 -110.75 1799.0 19770827 20051231 724720 99999 BLANDING US UT 37.617 -109.46700000000001 1840.0 19730101 20200623 724721 93025 BLANDING US UT 37.617 -109.46700000000001 184.1 19750814 19900206 724723 93025 BLANDING MUNI US UT K4BL 37.583 -109.48299999999999 1789.0 19900208 20080612 724723 99999 BLANDING MUNI US UT 37.583 -109.48299999999999 1789.0 20000101 20041231 724725 99999 TOOELE US UT 40.32 -112.3 1628.0 19510625 20020930 724733 23170 HANKSVILLE US UT KHVE 38.417 -110.7 1355.1 20140724 20200625 724735 23170 HANKSVILLE US UT KHVE 38.371 -110.715 1354.5 19730101 20121001 724735 99999 HANKSVILLE US UT K4HV 38.37 -110.72 1314.0 20000101 20041231 724736 99999 BULLFROG MARINA US UT 37.5 -110.7 1110.0 19730101 19960319 724737 00377 INVERNESS AIRPORT US FL KINF 28.816999999999997 -82.31700000000001 15.2 20090812 20200625 724737 99999 INVERNESS MUNI AIRPORT US FL KINF 28.804000000000002 -82.318 20.0 20180101 20180516 724739 99999 CARRABELLE THOMPSON US FL 29.842 -84.70100000000001 6.1 20061010 20061012 724741 99999 LA BELLE MUNI US FL 26.744 -81.433 5.5 20061010 20061023 724742 99999 VANDENBERG US FL KX16 28.02 -82.35 7.0 20061010 20061012 724743 99999 PHILLIPS PLATFORM US AL KRAM 29.05 -88.08 10.0 20050628 20111107 724750 23176 MILFORD MUNICIPAL AIRPORT US UT KMLF 38.417 -113.01700000000001 1536.2 20050101 20200624 724750 99999 MILFORD MUNICIPAL US UT KMLF 38.417 -113.01700000000001 1536.0 19730101 20180515 724751 99999 US 19760305 19770213 724754 23186 ST GEORGE MUNICIPAL ARPT US UT KSGU 37.1 -113.6 894.9 20060101 20200625 724754 99999 ST GEORGE MUNI US UT KSGU 37.091 -113.59299999999999 896.0 19800701 20051231 724755 93129 CEDAR CITY REGIONAL ARPT US UT KCDC 37.709 -113.094 1702.6 19730101 20200625 724756 23159 BRYCE CANYON AIRPORT US UT KBCE 37.705999999999996 -112.146 2312.2 19730101 20200625 724756 99999 BRYCE CANYON US UT KBCE 37.7 -112.145 2313.0 20000101 20031231 724757 23176 MILFORD MUNICIPAL AP US UT KMLF 38.417 -113.01700000000001 1534.1 19770101 19830430 724760 23066 GRAND JUNCTION REGIONAL AIRPORT US CO KGJT 39.134 -108.54 1480.7 19730101 20200625 724765 93013 MONTROSE REGIONAL AIRPORT US CO KMTJ 38.506 -107.899 1743.5 20060101 20200625 724765 99999 MONTROSE RGNL US CO KMTJ 38.516999999999996 -107.89399999999999 1755.0 19730101 20051231 724766 99999 MONTROSE US CO 38.5 -107.883 1752.0 19730101 19901011 724767 93069 CORTEZ MUNICIPAL AIRPORT US CO KCEZ 37.306999999999995 -108.626 1801.4 20060101 20200625 724767 99999 CORTEZ MUNI US CO KCEZ 37.3 -108.633 1804.0 19730101 20051231 724768 24051 GREELEY-WELD COUNTY ARPT US CO KGXY 40.436 -104.632 1431.7 20060101 20200625 724768 99999 GREELEY WELD CO US CO KGXY 40.437 -104.633 1432.0 19880105 20051231 724769 94035 FORT COLLINS LOVELAND AP US CO KFNL 40.45 -105.01700000000001 1528.6 20060101 20200625 724769 99999 FORT COLLINS (AWOS) US CO KFNL 40.45 -105.01700000000001 1529.0 19860501 20051231 724770 03170 EUREKA US NV KP68 39.601 -116.006 1809.3 20100801 20200625 724770 99999 EUREKA (RAMOS) US NV KP68 39.6 -116.0 1811.0 19730101 20100731 724771 99999 GREEN RIVER RANGE US UT 39.0 -110.15 1241.0 19750814 19900219 724773 93132 GREEN RIVER RANGE US UT KU28 39.0 -110.15 1255.8 20060102 20090501 724773 99999 GREEN RIVER RANGE US UT 39.0 -110.17 1241.0 19900314 20051221 724776 93075 CANYONLANDS FIELD AIRPORT US UT KCNY 38.75 -109.76299999999999 1389.9 20060101 20200625 724776 99999 CANYONLANDS FLD US UT KCNY 38.75 -109.75 1388.0 19730301 20051231 724795 99999 DELTA US UT KU24 39.33 -112.58 1414.0 19730101 20121001 724796 94128 LOGAN-CACHE AIRPORT US UT KLGU 41.787 -111.853 1357.6 19990101 20200625 724796 99999 LOGAN CACHE US UT KLGU 41.783 -111.85 1358.0 19811111 19981231 724797 23176 MILFORD MUNI BRISCOE US UT KMLF 38.417 -113.01700000000001 1534.1 19970101 20200625 724800 23157 BISHOP AIRPORT US CA KBIH 37.371 -118.35799999999999 1250.3 19430116 20200625 724810 23203 CASTLE AFB US CA KMER 37.383 -120.56700000000001 58.2 19420101 20200625 724810 99999 CASTLE US CA KMER 37.38 -120.568 57.6 20011031 20011115 724815 23257 MRCD MUNI/MACREADY FLD APT US CA KMCE 37.285 -120.51299999999999 46.3 20060101 20200625 724815 99999 MERCED MUNI MACREADY US CA KMCE 37.285 -120.514 48.0 19831001 20051231 724828 93241 NUT TREE AIRPORT US CA KVCB 38.378 -121.958 33.2 20060101 20200625 724828 99999 NUT TREE US CA KVCB 38.383 -121.96700000000001 35.0 20010811 20051231 724830 23232 SACRAMENTO EXECUTIVE AIRPORT US CA KSAC 38.507 -121.495 4.6 19730101 20200625 724833 23206 SACRAMENTO MATHER AIRPORT US CA KMHR 38.567 -121.3 30.2 20020902 20200625 724833 99999 SACRAMENTO MATHER FL US CA KMHR 38.555 -121.29700000000001 30.0 19880304 20031231 724834 99999 POINT CABRILLO US CA 39.35 -123.82 20.0 19810906 19871007 724835 23206 MATHER FIELD US CA KMHR 38.567 -121.3 29.3 19410901 19930515 724836 23208 SACRAMENTO MCCLELLAN AFB US CA KMCC 38.667 -121.4 23.5 19391109 20200625 724836 99999 MC CLELLAN AFLD US CA KMCC 38.668 -121.40100000000001 22.9 20000101 20031204 724837 93216 BEALE AIR FORCE BASE US CA KBAB 39.133 -121.43299999999999 34.4 19590701 20200625 724837 99999 BEALE AFB US CA KBAB 39.133 -121.43299999999999 34.0 20000103 20041231 724838 93205 YUBA COUNTRY AIRPORT US CA KMYV 39.102 -121.568 18.9 20060101 20200625 724838 99999 YUBA CO US CA KMYV 39.1 -121.56700000000001 19.0 19430811 20051231 724839 93225 SACRAMENTO INTL AIRPORT US CA KSMF 38.696 -121.59 7.0 19730101 20200625 724839 99999 SACRAMENTO INTL US CA KSMF 38.683 -121.583 8.0 20000101 20031231 724844 99999 TONOPAH TEST RANGE US NV KTNX 37.799 -116.781 1691.3 19820816 20021016 724845 99999 WELLS US NV 41.12 -114.97 1722.0 19990114 20061212 724846 53123 NORTH LAS VEGAS AIRPORT US NV KVGT 36.211999999999996 -115.196 671.5 20060101 20200625 724846 99999 NORTH LAS VEGAS US NV KVGT 36.211 -115.194 672.0 19990114 20051231 724850 99999 US 19730101 19750814 724851 99999 US 19750814 19770213 724855 23153 TONOPAH AIRPORT US NV KTPH 38.051 -117.09 1644.4 19421001 20200625 724856 99999 HAWTHORNE INDUSTRIAL US NV KHTH 38.544000000000004 -118.634 1284.7 19831103 20200624 724860 23154 ELY AIRPORT/YELLAND FIELD/AIRPORT US NV KELY 39.295 -114.84700000000001 1908.7 19730101 20200625 724870 03163 CALIENTE (AMOS) US NV KP38 37.611999999999995 -114.52600000000001 1332.9 20120123 20120123 724870 99999 CALIENTE NV. US 37.617 -114.51700000000001 1335.0 19770122 20041125 724880 23185 RENO/TAHOE INTERNATIONAL AIRPORT US NV KRNO 39.484 -119.771 1344.2 19430105 20200625 724885 93102 FALLON NAS US NV KNFL 39.417 -118.71700000000001 1199.1 19730101 20200625 724915 23245 MONTEREY PENINSULA US CA KMRY 36.583 -121.833 78.0 19730101 19991231 724915 23259 MONTEREY PENINSULA AIRPORT US CA KMRY 36.588 -121.845 50.3 20060101 20200625 724915 99999 MONTEREY PENINSULA US CA 36.583 -121.833 80.0 20000101 20051231 724916 93217 FRITZSCHE AAF US CA KOAR 36.683 -121.76700000000001 19730102 19901229 724917 23233 SALINAS MUNI US CA KSNS 36.664 -121.60799999999999 23.5 19410805 20100801 724918 99999 CASTROVILLE / MOSS US CA 36.8 -121.8 5.0 19760130 19800516 724920 23237 STOCKTON METROPOLITAN AIRPORT US CA KSCK 37.889 -121.226 7.9 19410103 20200625 724925 23240 CROWS LANDING US CA KNRC 37.4 -121.133 56.7 19730102 19940309 724926 23258 MDSTO CTY-CO H SHAM FD APT US CA KMOD 37.624 -120.95100000000001 22.3 19730101 20200625 724927 23285 LIVERMORE MUNICIPAL ARPT US CA KLVK 37.693000000000005 -121.814 119.8 20000101 20200625 724927 99999 LIVERMORE MUNICIPAL US CA KLVK 37.7 -121.81700000000001 121.0 19730625 19991231 724930 23230 METRO OAKLAND INTL AIRPORT US CA KOAK 37.721 -122.221 1.8 19430101 20200625 724930 99999 OAKLAND/METROP. OAK US CA KOAK 37.75 -122.21700000000001 4.0 20000101 20031231 724935 93228 HAYWARD AIR TERM US CA KHWD 37.654 -122.115 14.3 20000101 20100731 724935 99999 HAYWARD AIR TERM US CA 37.667 -122.117 14.0 19730101 19991231 724936 23254 CONCORD/BUCHANAN US CA KCCR 37.992 -122.055 18.3 19730101 20100731 724937 23289 PALO ALTO AIRPORT OF SANTA CLARA COUNTY US CA KPAO 37.467 -122.117 2.1 20060101 20200624 724937 99999 PALO ALTO ARPT OF SA US CA KPAO 37.461 -122.115 1.0 19841101 20051231 724938 93231 SAN CARLOS AIRPORT US CA KSQL 37.516999999999996 -122.25 1.5 20060101 20200625 724938 99999 SAN CARLOS US CA KSQL 37.512 -122.25 2.0 19830701 20051231 724939 99999 DAVIS POINT AVIATION WEATHER REP US 38.05 -122.27 18.0 19760130 19960701 724940 23234 SAN FRANCISCO INTERNATIONAL AIRPORT US CA KSFO 37.62 -122.365 2.4 19730101 20200625 724943 99999 TREASURE ISLAND US CA 37.8 -122.37 8.0 19820711 19960627 724945 23293 N Y. MINETA SN JO INTL APT US CA KSJC 37.359 -121.92399999999999 15.5 19730101 20200625 724946 93232 REID-HILLVIEW AIRPORT OF SANTA CLARA COUNTY US CA KRHV 37.333 -121.81700000000001 40.5 20060101 20200625 724946 99999 REID HILLVIEW OF SAN US CA KRHV 37.333 -121.81700000000001 41.0 19800409 20051231 724947 99999 PILLAR PT / EL GRANDA US CA 37.5 -122.5 40.0 19760130 19960701 724950 23250 CONCORD/BUCHANAN US CA KCCR 37.983000000000004 -122.05 12.0 19760131 19960630 724950 23254 BUCHANAN FIELD AIRPORT US CA KCCR 37.992 -122.055 5.5 20100801 20200625 724953 99999 RIO NIDO US CA 38.516999999999996 -122.917 -999.0 19891111 19900303 724955 93227 NAPA COUNTY AIRPORT US CA KAPC 38.21 -122.285 4.3 20000101 20200625 724955 99999 NAPA CO US CA KAPC 38.213 -122.281 11.0 19730101 19991231 724956 23211 HAMILTON AAF US CA KSRF 38.067 -122.5 1.0 19390301 19760709 724957 23213 SONOMA COUNTY AIRPORT US CA KSTS 38.504 -122.81 34.8 20000101 20200625 724957 99999 C M SCHULZ SONOMA CO US CA KSTS 38.516999999999996 -122.81700000000001 38.0 19430404 19991231 724958 99999 PORT CHICAGO US CA 38.03 -122.03 12.0 19750916 19960607 724959 99999 POINT REYES COAST GUARD STATION US CA 38.0 -123.02 87.0 19780404 19921020 724970 99999 CHICO CALIFORNIA MAP US CA CIC 39.783 -121.85 69.0 19420506 19760305 724971 99999 CHICO MUNICIPAL & US CA 39.783 -121.85 73.0 19760305 19900219 724973 93203 CHICO MUNICIPAL AIRPORT US CA KCIC 39.8 -121.85 82.9 20060101 20200625 724973 99999 CHICO MUNI US CA KCIC 39.8 -121.867 73.0 19900314 20051231 724975 93809 CAIRO REGIONAL AIRPORT US IL KCIR 37.064 -89.219 97.8 20060101 20200625 724975 99999 CAIRO RGNL US IL KCIR 37.067 -89.21700000000001 98.0 20040904 20051231 724988 94704 DANSVILLE MUNICIPAL ARPT US NY KDSV 42.571000000000005 -77.71300000000001 208.8 20010102 20200625 724988 99999 DANSVILLE MUNI US NY KDSV 42.571000000000005 -77.71300000000001 202.0 20010811 20031231 724990 99999 US 19730101 19760305 724991 99999 POINT ARENA (CGS) US CA 89Q 38.95 -123.73299999999999 18.0 19760309 19840928 724995 99999 BODEGA BAY COAST GUARD LIGHT STA US 38.32 -123.05 3.0 19750916 19960701 725010 99999 UPTON US NY 40.85 -72.85 26.2 19990503 20050927 725014 54780 MONTAUK AIRPORT US NY KMTP 41.073 -71.923 2.1 20060101 20200625 725014 99999 MONTAUK US NY KMTP 41.083 -71.917 2.0 19990114 20051231 725015 04789 ORANGE COUNTY AIRPORT US NY KMGJ 41.50899999999999 -74.265 111.3 20060101 20200625 725015 99999 ORANGE CO US NY KMGJ 41.51 -74.26 111.0 19990114 20051231 725016 54790 BROOKHAVEN AIRPORT US NY KHWV 40.821999999999996 -72.869 25.0 20060101 20200625 725016 99999 BROOKHAVEN US NY KHWV 40.817 -72.867 25.0 20010828 20051231 725020 14734 NEWARK LIBERTY INTERNATIONAL AP US NJ KEWR 40.683 -74.169 2.1 19730101 20200625 725021 99999 CLEVELAND MUNI US TX 30.355999999999998 -95.008 45.7 20091020 20130430 725023 00474 CLEVELAND MUNICIPAL AIRPORT US MS KRNV 33.861 -90.758 42.7 20130318 20200625 725023 99999 CLEVELAND MUNI US MS KRNV 33.760999999999996 -90.758 42.7 19870629 20180515 725024 99999 WILDWOOD US NJ 39.0 -74.82 2.0 19780301 19790714 725025 94741 TETERBORO AIRPORT US NJ KTEB 40.85 -74.061 2.7 19730101 20200625 725025 99999 TETERBORO US NJ KTEB 40.85 -74.05 3.0 20000101 20031231 725026 99999 BRONX / EXECUTION COAST GUARD ST US 40.88 -73.73 8.0 19750915 19791127 725027 54788 MERIDEN MARKHAM MUNI ARPT US CT KMMK 41.51 -72.828 31.4 20060101 20200625 725027 99999 MERIDEN MARKHAM MUNI US CT KMMK 41.50899999999999 -72.829 31.0 19750911 20051231 725028 99999 BAY SHORE / FIRE ISLAND US NY 40.63 -73.27 5.0 19750915 19920802 725029 64707 WATERBURY-OXFORD AIRPORT US CT KOXC 41.483000000000004 -73.133 221.3 20060101 20200625 725029 99999 WATERBURY OXFORD US CT KOXC 41.479 -73.135 221.0 19920226 20051231 725030 14732 LA GUARDIA AIRPORT US NY KLGA 40.779 -73.88 3.4 19730101 20200625 725033 94728 NYC CENTRAL PARK US NY KNYC 40.779 -73.969 47.5 19431201 20100817 725034 99999 CALVERTON/GRUMMAN US NY KCTO 40.917 -72.783 23.0 19820927 19910109 725035 04781 LONG ISLAND MAC ART US NY KISP 40.794000000000004 -73.102 30.2 19730101 20100731 725036 14757 DUTCHESS COUNTY AIRPORT US NY KPOU 41.626000000000005 -73.882 50.6 19730101 20200625 725036 99999 DUTCHESS CO US NY KPOU 41.617 -73.883 50.0 20000101 20031231 725037 94745 WESTCHESTER COUNTY AIRPORT US NY KHPN 41.062 -73.705 111.9 19730101 20200625 725038 14714 STEWART INTERNATIONAL AIRPORT US NY KSWF 41.5 -74.1 149.7 19420802 20200625 725038 99999 STEWART INTL US NY KSWF 41.5 -74.1 150.0 20000101 20041231 725039 99999 EATONS NECK COAST GUARD STATION US NY 40.95 -73.4 1.0 19750911 19960701 725040 94702 IGOR I SIKORSKY MEMORIAL AIRPORT US CT KBDR 41.163999999999994 -73.127 1.5 19421208 20200625 725045 14758 TWEED-NEW HAVEN AIRPORT US CT KHVN 41.263999999999996 -72.887 0.9 19730101 20200625 725045 99999 TWEED NEW HAVEN US CT KHVN 41.25 -72.883 4.0 20000101 20031231 725046 14707 GROTON-NEW LONDON AIRPORT US CT KGON 41.328 -72.04899999999999 3.1 19430118 20200625 725046 99999 GROTON NEW LONDON US CT KGON 41.317 -72.033 3.0 20000101 20031231 725047 99999 NEW LONDON LEDGE COAST GUARD STA US CT 41.3 -72.08 8.0 19750911 19870427 725048 99999 FAULKNER ISLAND COAST GUARD LIGH US CT 41.22 -72.67 15.0 19750911 19820308 725049 99999 LITTLE GULF ISLAND LIGHT STATION US CT 41.2 -72.1 6.0 19750911 19780910 725050 04781 LONG ISLAND MAC ARTHUR AIRPORT US NY KISP 40.794000000000004 -73.102 25.6 20050101 20200625 725051 99999 US 19730101 19761022 725053 94728 CENTRAL PARK US NY KNYC 40.779 -73.969 42.7 20050101 20200625 725054 64710 NORTH CENTRAL STATE ARPT US RI KSFZ 41.92100000000001 -71.491 134.4 20060101 20200625 725054 99999 NORTH CENTRAL STATE US CT KSFZ 41.92100000000001 -71.483 134.0 19910824 20051231 725055 99999 CHATHAM COAST GUARD STATION US MA 41.67 -69.95 1.0 19750911 19960630 725056 99999 POINT JUDITH (CGS) US RI 41.35 -71.467 2.0 19470201 19950318 725057 99999 BRANT POINT COAST GUARD STATION US MA 41.28 -70.08 8.0 19750911 19960701 725058 94793 BLOCK ISLAND STATE AIRPORT US RI KBID 41.168 -71.578 32.0 19900101 20200625 725058 99999 BLOCK ISLAND US RI KBID 41.167 -71.567 33.0 19761023 20031231 725059 14702 LAURENCE G HANSCOM FLD APT US MA KBED 42.47 -71.289 40.5 20060101 20200625 725059 99999 LAURENCE G HANSCOM US MA 42.467 -71.283 42.0 19780211 20051231 725060 14704 OTIS ANGB AIRPORT US MA KFMH 41.65 -70.517 39.6 20060101 20100921 725060 14756 NANTUCKET MEMORIAL AIRPORT US MA KACK 41.253 -70.061 14.6 20120801 20200625 725060 94728 NEW YORK CENTRAL PARK US NY KNYC 40.779 -73.969 47.5 20100817 20120801 725061 14704 OTIS ANGB AIRPORT US MA KFMH 41.65 -70.517 39.6 20100921 20200625 725061 14756 NANTUCKET MEMORIAL AIRPORT US MA KACK 41.253 -70.061 14.3 19730101 19900219 725063 14756 NANTUCKET MEM US MA KACK 41.253 -70.061 14.3 19900314 20120801 725063 99999 NANTUCKET MEM US MA 41.25 -70.05 15.0 20000101 20031231 725064 54769 PLYMOUTH MUNICIPAL AIRPORT US MA KPYM 41.91 -70.729 45.4 20060101 20200625 725064 99999 PLYMOUTH MUNICIPAL US MA KPYM 41.909 -70.729 45.0 19850226 20051231 725065 94726 NEW BEDFORD RGNL AIRPORT US MA KEWB 41.676 -70.958 24.4 20060101 20200625 725065 99999 NEW BEDFORD RGNL US MA KEWB 41.667 -70.95 24.0 19730101 20051231 725066 94724 MARTHAS VINEYARD AIRPORT US MA KMVY 41.393 -70.615 20.7 20060101 20200625 725066 99999 MARTHAS VINEYARD US MA KMVY 41.4 -70.617 20.0 19730101 20051231 725067 94720 BRNSBL MUNI-BMAN/POL FD AP US MA KHYA 41.669 -70.28 16.8 20060101 20200625 725067 99999 BARNSTABLE MUNI BOA US MA KHYA 41.667 -70.267 17.0 19730101 20051231 725068 54777 TAUNTON MUNICIPAL AIRPORT US MA KTAN 41.876000000000005 -71.021 13.1 20060101 20200626 725068 99999 TAUNTON MUNI US MA KTAN 41.867 -71.017 13.0 19421002 20051231 725069 94624 CHATHAM MUNICIPAL AIRPORT US MA KCQX 41.688 -69.993 20.7 20060101 20200625 725069 99999 CHATHAM MUNI US MA KCQX 41.683 -69.983 21.0 19750911 20051231 725070 14765 THEODORE F GREEN STATE AIRPORT US RI KPVD 41.723 -71.433 16.8 19420801 20200625 725073 64708 PROVINCETOWN MUNI AIRPORT US MA KPVC 42.071999999999996 -70.221 2.4 20060101 20200625 725073 99999 PROVINCETOWN MUNI US MA KPVC 42.067 -70.217 3.0 19880424 20051231 725074 54752 QUONSET STATE AIRPORT US RI KOQU 41.597 -71.41199999999999 5.8 20060103 20200625 725074 99999 QUONSET STATE US RI KOQU 41.583 -71.417 5.0 19850920 20051231 725075 54768 HARRIMAN-AND-WEST AIRPORT US MA KAQW 42.696999999999996 -73.17 195.1 20060101 20200625 725075 99999 HARRIMAN AND WEST US MA KAQW 42.696000000000005 -73.17 199.0 19730101 20051231 725076 99999 MERRIMAC RIVER COAST GUARD STATI US 42.82 -70.87 1.0 19750911 19831011 725077 99999 BUZZARDS BAY COAST GUARD LIGHT S US 41.38 -71.03 1.0 19750911 19810813 725078 99999 CASTLE HILL COAST GUARD STATION US RI 41.45 -71.35 15.0 19890616 19960701 725079 14787 NEWPORT STATE AIRPORT US RI KUUU 41.533 -71.283 52.4 20060101 20200625 725079 99999 NEWPORT US RI KUUU 41.532 -71.282 52.0 19750911 20051231 725080 14740 BRADLEY INTERNATIONAL AIRPORT US CT KBDL 41.938 -72.682 53.3 19410912 20200625 725084 54767 WINDHAM AIRPORT US CT KIJD 41.742 -72.184 75.3 20060101 20200625 725084 99999 WINDHAM AIRPORT US CT KIJD 41.75 -72.184 75.0 19961220 20051231 725085 54756 ORANGE MUNICIPAL AIRPORT US MA KORE 42.57 -72.291 169.2 19960702 20200626 725085 99999 ORANGE MUNI US MA KORE 42.567 -72.283 169.0 20000101 20031231 725086 54734 DANBURY MUNICIPAL AIRPORT US CT KDXR 41.371 -73.483 139.3 20060101 20200625 725086 99999 DANBURY MUNI ARPT US CT KDXR 41.372 -73.482 140.0 19730622 20051231 725087 14752 HARTFORD-BRAINARD AIRPORT US CT KHFD 41.736000000000004 -72.65100000000001 5.8 19740101 20200625 725087 99999 HARTFORD BRAINARD US CT KHFD 41.733000000000004 -72.65 5.0 20000101 20031231 725088 54733 BEVERLY MUNICIPAL AIRPORT US MA KBVY 42.583999999999996 -70.918 32.9 20060101 20200625 725088 99999 BEVERLY MUNI US MA KBVY 42.583 -70.917 33.0 19740220 20051231 725089 99999 NEW HAVEN COAST GUARD STATION US CT 41.27 -72.9 3.0 19750911 19960701 725090 14739 GEN E L LOGAN INTERNATIONAL AIRPORT US MA KBOS 42.361000000000004 -71.01 3.7 19431121 20200625 725094 99999 MARSHFIELD AIRPORT US MA 42.1 -70.683 3.0 19900725 19960117 725095 94746 WORCESTER RGNL US MA KORH 42.271 -71.873 310.0 19730101 20100731 725096 99999 ISLE OF SHOALS COAST GUARD STATI US 42.97 -70.62 1.0 19750911 19861022 725097 14790 NAVAL AIR STATION US MA KNZW 42.15 -70.933 49.1 19730101 19960928 725098 54704 NORWOOD MEMORIAL AIRPORT US MA KOWD 42.191 -71.17399999999999 15.2 20060101 20200626 725098 99999 NORWOOD MEM US MA KOWD 42.183 -71.167 15.0 19730101 20051231 725099 99999 GLOUCESTER COAST GUARD STATION US MA 42.58 -70.67 1.0 19750911 19960701 725100 94746 WORCESTER REGIONAL AIRPORT US MA KORH 42.271 -71.873 304.8 20050101 20200625 725101 14712 READING SPAATZ FIELD US PA KRDG 40.367 -75.967 107.6 19430608 19900219 725103 14712 RDNG RGNL/C A SPAATZ FD AP US PA KRDG 40.373000000000005 -75.959 104.9 19900314 20200625 725103 99999 READING RGNL CARL A US PA KRDG 40.367 -75.967 105.0 20000101 20031231 725104 04843 PORT MEADVILLE AIRPORT US PA KGKJ 41.626000000000005 -80.215 426.7 20060101 20200625 725104 99999 PORT MEADVILLE US PA KGKJ 41.633 -80.217 427.0 19990114 20051231 725105 14770 PENN VALLEY AIRPORT US PA KSEG 40.821 -76.86399999999999 135.3 19970902 20200625 725105 99999 PENN VALLEY US PA KSEG 40.817 -76.867 137.0 20000101 20031231 725107 04780 FITCHBURG MUNICIPAL ARP US MA KFIT 42.552 -71.756 106.1 19971002 20200625 725107 99999 FITCHBURG MUNI US MA KFIT 42.553999999999995 -71.759 106.0 20000101 20031231 725109 54782 POTTSTOWN LIMERICK AIRPORT US PA KPTW 40.238 -75.555 87.8 20060101 20200625 725109 99999 POTTSTOWN LIMERICK US PA KPTW 40.233000000000004 -75.55 94.0 20010811 20051231 725110 14751 HARRISBURG CAPITAL CITY ARPT US PA KCXY 40.217 -76.851 105.8 19730101 19850531 725111 14751 HARRISBURG CAPITAL CITY ARPT US PA KCXY 40.217 -76.851 105.8 19480101 19900228 725111 99999 HARRISBURG CAPITAL CITY ARPT US PA 40.217 -76.85 107.0 19740101 19841231 725113 54786 DOYLESTOWN AIRPORT US PA KDYL 40.33 -75.123 120.1 20060101 20200625 725113 99999 DOYLESTOWN US PA KDYL 40.333 -75.122 120.0 19990831 20051231 725114 93778 YORK AIRPORT US PA KTHV 39.918 -76.874 148.1 20060101 20200625 725114 99999 YORK US PA KTHV 39.917 -76.867 146.0 19980514 20051231 725115 14711 HARRISBURG INTL US PA KMDT 40.196 -76.77199999999999 95.1 19350201 20100731 725116 54737 LANCASTER AIRPORT US PA KLNS 40.12 -76.294 122.8 20060101 20200625 725116 99999 LANCASTER US PA KLNS 40.117 -76.283 123.0 19730701 20051231 725117 04827 WASHINGTON COUNTY AIRPORT US PA KAFJ 40.133 -80.283 361.2 20060101 20200625 725117 99999 WASHINGTON CO US PA KAFJ 40.133 -80.283 361.0 19890309 20051231 725118 14751 CAPITAL CITY AIRPORT US PA KCXY 40.217 -76.851 103.6 19900301 20200625 725118 99999 HARRISBURG/CAPITAL US PA KCXY 40.217 -76.85 106.0 20000101 20031231 725119 54792 CLEARFIELD-LAWRENCE ARPT US PA KFIG 41.047 -78.41199999999999 462.1 20060101 20200625 725119 99999 CLEARFIELD LAWRENCE US PA KFIG 41.049 -78.413 462.0 20010811 20051231 725120 14761 PHILIPSBURG AIRPORT US PA KPSB 40.9 -78.083 593.8 19730101 19850531 725120 99999 PHILIPSBURG AIRPORT US PA 40.867 -78.067 594.0 20040906 20051031 725121 14761 BURLIGTON/COLCHE US VT KPSB 40.9 -78.083 593.8 19850531 19860827 725124 64705 BTLR CO/K W SCHOLTER FD AP US PA KBTP 40.777 -79.95 380.1 20060101 20200625 725124 99999 BUTLER CO SCHOLTER F US PA KBTP 40.777 -79.95 380.0 19920226 20051231 725125 04787 DU BOIS-JEFFERSON CO ARPT US PA KDUJ 41.178999999999995 -78.893 550.2 19730101 20200625 725125 99999 DU BOIS JEFFERSON C US PA KDUJ 41.167 -78.9 554.0 20000101 20031231 725126 14736 ALTOONA-BLAIR COUNTY ARPT US PA KAOO 40.296 -78.32 451.1 19730101 20200625 725127 04726 J MURTHA JTWN-CMBRA CO APT US PA KJST 40.316 -78.834 696.2 19730101 20200625 725127 99999 JOHN MURTHA JOHNSTO US PA KJST 40.317 -78.833 696.0 20000101 20031231 725128 54739 UNIVERSITY PARK AIRPORT US PA KUNV 40.85 -77.85 377.7 20050101 20200625 725128 99999 UNIVERSITY PARK US PA KUNV 40.85 -77.85 378.0 19800625 20041231 725130 14777 WILKES-BARRE/SCRANTON INTL AIRPORT US PA KAVP 41.333999999999996 -75.727 283.5 19730101 20200625 725135 14754 TOBYHANNA US PA 7TB 41.183 -75.417 594.4 19730101 19841001 725140 14778 WILLIAMSPORT REGIONAL AIRPORT US PA KIPT 41.243 -76.922 158.5 19730101 20200625 725144 54723 MUIR ARMY AIRFIELD (FORT INDIANTOWN GAP) US PA KMUI 40.433 -76.567 148.7 20060103 20200625 725144 99999 MUIR AAF US PA KMUI 40.433 -76.567 149.0 19780828 20051230 725145 54746 SULLIVAN COUNTY INTL ARPT US NY KMSV 41.701 -74.795 427.6 20060101 20200625 725145 99999 SULLIVAN CO INTL US NY KMSV 41.7 -74.8 428.0 19810212 20051231 725146 54773 OSWEGO COUNTY AIRPORT US NY KFZY 43.35 -76.385 144.8 20060101 20200625 725146 99999 OSWEGO CO US NY KFZY 43.35 -76.383 145.0 19990114 20051231 725150 04725 GREATER BINGHAMTON/E A LINK FIELD AP US NY KBGM 42.207 -75.98 486.2 19730101 20200625 725155 94761 ITHACA TOMPKINS REGIONAL AIRPORT US NY KITH 42.483000000000004 -76.467 335.0 20060101 20200625 725155 99999 ITHACA TOMPKINS RGNL US NY KITH 42.49100000000001 -76.467 335.0 19730101 20051231 725156 14748 ELMIRA/CORNING RGNL ARPT US NY KELM 42.159 -76.892 291.1 19730101 20200625 725156 99999 ELMIRA CORNING RGNL US NY KELM 42.15 -76.883 291.0 20000101 20031231 725157 54757 MUNI ARPT TARANTINE FLD AP US NY KELZ 42.108999999999995 -77.992 647.4 20060101 20200625 725157 99999 WELLSVILLE MUNI US NY KELZ 42.11 -77.99 647.0 19780614 20051231 725160 99999 BENNINGTON STATE US VT 42.883 -73.25 252.0 20030805 20030805 725165 94737 RUTLAND STATE AIRPORT US VT KRUT 43.533 -72.95 239.0 20060101 20200625 725165 99999 RUTLAND STATE US VT KRUT 43.516999999999996 -72.95 240.0 19730102 20051231 725170 14737 LEHIGH VALLEY INTERNATIONAL AIRPORT US PA KABE 40.65 -75.44800000000001 118.9 19730101 20200625 725171 99999 ALLENTOWN QUEEN CITY MUNI US PA KJVU 40.567 -75.483 122.0 20080825 20130430 725172 13762 NAVAL AUXILIARY LANDING FIELD US VA KNFE 36.695 -76.13600000000001 4.9 20070601 20200626 725175 64706 INDIANA COUNTY/JIMMY STEWART FIELD/AIRPORT US PA KIDI 40.633 -79.1 428.2 20060101 20200625 725175 99999 INDIANA CO US PA KIDI 40.633 -79.10600000000001 428.0 19990103 20051231 725180 14735 ALBANY INTERNATIONAL AIRPORT US NY KALB 42.747 -73.79899999999999 85.3 19460101 20200625 725184 99999 ALBANY (NEXRAD) US NY CXX 44.516999999999996 -73.167 131.0 20020422 20020422 725185 14750 FLOYD BENNETT MEM US NY KGFL 43.35 -73.617 101.5 19730101 20100801 725186 99999 OGDENSBURG INTL US NY KOGS 44.681999999999995 -75.46600000000001 90.5 19770502 20200624 725187 94733 CLINTON COUNTY AIRPORT US NY KPLB 44.687 -73.523 113.4 20060101 20070524 725187 99999 CLINTON CO US NY KPLB 44.683 -73.517 113.0 19780823 20051231 725188 99999 CAPE VINCENT MARINE AVIATION REP US 44.12 -76.33 75.0 19800227 19810501 725190 14771 SYRACUSE HANCOCK INTERNATIONAL AP US NY KSYR 43.111000000000004 -76.104 125.9 19421001 20200625 725194 54778 PENN YAN AIRPORT US NY KPEO 42.643 -77.056 275.2 20060101 20200625 725194 99999 PENN YAN US NY KPEO 42.633 -77.05 302.0 19990114 20051231 725195 99999 OSWEGO COAST GUARD STATION US NY 43.47 -76.52 78.0 19760926 19960701 725196 14717 GRIFFISS AIRPARK US NY KRME 43.233999999999995 -75.407 154.0 19420701 19980923 725196 64775 GRIFFIS AIRFIELD US NY KRME 43.233999999999995 -75.41199999999999 158.2 20070102 20200625 725197 94794 ONEIDA COUNTY AIRPORT US NY KUCA 43.145 -75.384 216.7 19730101 20070118 725198 99999 MILLBROOK/SKY ACRES US NY K44N 41.7 -73.733 213.0 19890714 19960214 725200 94823 PITTSBURGH INTERNATIONAL AIRPORT US PA KPIT 40.485 -80.214 366.7 19450201 20200625 725203 99999 MIFFLIN CO US PA KRVL 40.677 -77.627 249.6 20180719 20200624 725204 04813 BEAVER COUNTY AIRPORT US PA KBVI 40.766999999999996 -80.4 381.6 20060102 20200625 725204 99999 BEAVER CO US PA KBVI 40.766999999999996 -80.383 382.0 19840331 20051231 725205 14762 ALLEGHENY COUNTY AIRPORT US PA KAGC 40.355 -79.922 380.4 19730101 20200625 725205 99999 ALLEGHENY CO US PA KAGC 40.35 -79.917 382.0 20000101 20031231 725206 99999 PITTSBURGH WSFO US PA 40.53 -80.22 381.3 19730101 19780127 725207 54735 ARNOLD PALMER REGIONAL APT US PA KLBE 40.283 -79.4 365.5 20060101 20200625 725207 99999 ARNOLD PALMER RGNL US PA KLBE 40.266999999999996 -79.4 361.0 19730102 20051231 725208 04855 MARION MUNICIPAL AIRPORT US OH KMNN 40.616 -83.064 303.0 20060101 20200625 725208 99999 MARION MUNI US OH KMNN 40.616 -83.06299999999999 303.0 19990426 20051231 725210 14895 AKRON-CANTON REGIONAL AIRPORT US OH KCAK 40.918 -81.444 369.7 19730101 20200625 725214 04849 LORAIN COUNTY RGNL AIRPORT US OH KLPR 41.346000000000004 -82.179 242.0 20060101 20200625 725214 99999 LORAIN CO RGNL US OH KLPR 41.35 -82.18299999999999 242.0 19980428 20051231 725215 99999 LORAIN COAST GUARD STATION US OH 41.47 -82.18 176.0 19760926 19960701 725216 04842 WAYNE COUNTY AIRPORT US OH KBJJ 40.873000000000005 -81.887 346.6 20060101 20200625 725216 99999 WAYNE CO US OH KBJJ 40.867 -81.883 346.0 19990114 20051231 725217 53855 BUTLER CO. REGIONAL ARPT US OH KHAO 39.364000000000004 -84.525 193.2 20060101 20200625 725217 99999 BUTLER CO RGNL US OH KHAO 39.363 -84.521 193.0 19990114 20051231 725218 99999 MARION US PA 40.617 -83.06700000000001 303.0 19990114 19990204 725220 14750 FLOYD BENNETT MEMO AIRPORT US NY KGFL 43.338 -73.61 97.8 20050101 20200625 725224 04852 HARRY CLEVER FIELD AIRPORT US OH KPHD 40.472 -81.42399999999999 272.8 20060101 20200625 725224 99999 HARRY CLEVER FLD US OH KPHD 40.467 -81.417 272.0 19990114 20051231 725229 04858 NEWARK-HEATH AIRPORT US OH KVTA 40.023 -82.463 269.4 20060101 20200626 725229 99999 NEWARK HEATH US OH KVTA 40.025 -82.462 269.0 20010811 20051231 725230 94704 DANSVILLE/MUNICIPAL US NY KDSV 42.571000000000005 -77.71300000000001 201.8 19730101 19850131 725230 99999 DANSVILLE MUNICIPAL US NY 42.567 -77.717 209.0 20020418 20041014 725235 04720 CHAUTAUQUA CO/JAMESTOWN AP US NY KJHW 42.15 -79.25 525.2 20060101 20200625 725235 99999 CHATAUQUA CO JAMESTO US NY KJHW 42.153 -79.258 525.0 19730101 20051231 725240 14820 CLEVELAND-HOPKINS INTERNATIONAL AP US OH KCLE 41.406000000000006 -81.852 238.1 19730101 20200625 725243 99999 CLEVELAND (LGT-H) US OH 41.483000000000004 -81.7 182.0 19890908 19940915 725244 99999 WILLOUGHBY LOST NATION MUNI US OH KLNN 41.684 -81.39 190.8 19831103 20200624 725245 04853 CLEVELAND BURKE LAKEFNT AP US OH KBKL 41.518 -81.684 178.0 20060101 20200625 725245 99999 BURKE LAKEFRONT US OH KBKL 41.516999999999996 -81.683 178.0 19730101 20051231 725246 14891 MANSFIELD LAHM RGNL US OH KMFD 40.82 -82.51799999999999 399.9 19490101 20100731 725247 04805 CUYAHOGA COUNTY AIRPORT US OH KCGF 41.567 -81.483 267.9 20060101 20200625 725247 99999 CUYAHOGA CO US OH KCGF 41.567 -81.483 268.0 19730101 20051231 725248 99999 CLEVELAND HARBOR COAST GUARD STA US 41.5 -81.72 181.0 19770920 19841001 725249 99999 MARBLEHEAD COAST GUARD STATION US OH 41.55 -82.73 196.0 19760926 19960701 725250 14852 YOUNGSTOWN-WARREN REGIONAL AIRPORT US OH KYNG 41.255 -80.67399999999999 355.7 19480101 20200625 725253 00380 PORTAGE COUNTY AIRPORT US OH KPOV 41.217 -81.25 365.2 20090318 20200625 725253 99999 RAVENNA/PORTAGE COUNTY AIRPORT US OH KPOV 41.21 -81.252 364.8 19900724 20180520 725254 04851 DEFIANCE MEMORIAL AIRPORT US OH KDFI 41.338 -84.429 215.5 20060101 20200625 725254 99999 DEFIANCE MEMORIAL US OH KDFI 41.338 -84.429 215.0 19980514 20051231 725255 99999 ASHTABULA COAST GUARD STATION US OH 41.92 -80.8 178.0 19760926 19960701 725256 04857 ASHTABULA COUNTY AIRPORT US OH KHZY 41.778 -80.696 281.6 20060101 20200625 725256 99999 ASHTABULA CO US OH KHZY 41.783 -80.7 282.0 20010811 20051231 725257 99999 JENNINGS US LA 30.243000000000002 -92.67299999999999 7.0 20120531 20130430 725258 00382 TOCCOA RG LETOURNEAU FIELD AIRPORT US GA KTOC 34.594 -83.296 303.3 20120607 20200626 725258 99999 TOCCOA RG LETOURNEAU FLD US GA KTOC 34.594 -83.296 303.0 20180101 20180516 725260 14860 ERIE INTL/T. RIDGE FIELD AIRPORT US PA KERI 42.08 -80.182 222.2 19730101 20200625 725264 99999 SAINT MARYS MUNI US PA 8G5 41.433 -78.583 0.0 19850531 19870323 725265 99999 ERIE COAST GUARD STATION US PA 42.12 -80.08 175.0 19430701 19880308 725266 04751 BRADFORD REGIONAL AIRPORT US PA KBFD 41.8 -78.633 652.9 19730101 20200625 725267 94868 VENANGO REGIONAL AIRPORT US PA KFKL 41.383 -79.867 469.4 19730101 20200625 725267 99999 VENANGO RGNL US PA KFKL 41.378 -79.86 469.0 20000101 20031231 725270 99999 SIMCOE (MARS) & CA 42.85 -80.267 239.0 19730101 19770630 725280 14733 BUFFALO NIAGARA INTERNATIONAL AP US NY KBUF 42.941 -78.736 218.2 19420201 20200625 725283 00465 CATTARAUGUS COUNTY OLEAN AIRPORT US NY KOLE 42.24100000000001 -78.37100000000001 651.1 20120423 20200625 725283 99999 CATTARAUGUS CO OLEAN US NY KOLE 42.24100000000001 -78.37100000000001 650.7 19870813 20180515 725285 99999 BUFFALO COAST GUARD STATION US NY 42.88 -78.88 180.0 19760926 19960701 725287 04724 NIAGARA FALLS INTL AIRPORT US NY KIAG 43.108000000000004 -78.938 178.3 19510612 20200625 725287 99999 NIAGARA FALLS INTL US NY KIAG 43.1 -78.933 180.0 20000101 20031231 725288 99999 NIAGARA COAST GUARD STATION US NY 43.27 -79.07 82.0 19760926 19960701 725290 14768 GREATER ROCHESTER INTERNATIONAL AP US NY KROC 43.117 -77.67699999999999 164.3 19730101 20200625 725291 99999 RIDGELY AIRPARK US MD KRJD 38.97 -75.866 19.5 20070521 20090701 725292 14976 GRINNELL REGIONAL AIRPORT US IA KGGI 41.717 -92.7 307.2 20060831 20200625 725293 99999 GARRETT CO US MD 39.58 -79.339 894.0 20070521 20130430 725294 00383 ANSON COUNTY AIRPORT JEFF CLOUD FIELD US NC KAFP 35.016999999999996 -80.083 91.1 20070521 20200625 725294 99999 WADESBORO ANSON CO US NC KAFP 35.021 -80.077 90.8 20080101 20180516 725295 99999 ROCHESTER COAST GUARD LIGHT STAT US 43.25 -77.6 82.0 19760926 19960701 725296 99999 BOWMAN MUNI US ND KBPP 46.187 -103.428 901.6 20070521 20100603 725300 94846 CHICAGO O'HARE INTERNATIONAL AIRPORT US IL KORD 41.96 -87.932 201.8 19461001 20200625 725305 94892 DUPAGE AIRPORT US IL KDPA 41.913999999999994 -88.24600000000001 229.8 20060101 20200625 725305 99999 DUPAGE US IL KDPA 41.908 -88.249 231.0 19730101 20051231 725306 14855 GLENVIEW NAS US IL KNBU 42.083 -87.833 199.0 19730101 19950301 725306 99999 GLENVIEW NAS US IL KNBU 42.083 -87.81700000000001 199.0 20050905 20050905 725307 99999 WILMETTE (MARINES)& US IL K62G 42.067 -87.68299999999999 223.0 19760212 19960214 725310 14806 RANTOUL/CHANUTE AFB US IL 40.3 -88.15 228.0 19360701 19710528 725310 99999 RANTOUL US IL 40.3 -88.15 228.0 20020228 20041006 725314 03960 ST LOUIS DOWNTOWN AIRPORT US IL KCPS 38.571 -90.15700000000001 125.9 20060101 20200625 725314 99999 CAHOKIA/ST. LOUIS US IL KCPS 38.567 -90.15 126.0 19781219 20051231 725315 94870 UNIVERSI OF IL WILLARD APT US IL KCMI 40.04 -88.27799999999999 229.8 20060101 20200625 725315 99999 UNIV OF ILLINOIS WI US IL KCMI 40.033 -88.26700000000001 230.0 19730101 20051231 725316 03887 DECATUR AIRPORT US IL KDEC 39.834 -88.866 205.7 20060101 20200625 725316 99999 DECATUR US IL KDEC 39.833 -88.867 208.0 19730101 20051231 725317 53802 COLES COUNTY MEMO AIRPORT US IL KMTO 39.478 -88.28 219.8 20060101 20200625 725317 99999 COLES CO MEM US IL KMTO 39.483000000000004 -88.28299999999999 220.0 19730103 20051231 725320 14842 GREATER PEORIA REGIONAL AIRPORT US IL KPIA 40.668 -89.684 198.1 19730101 20200625 725323 99999 GALESBURG MUNICIPAL US IL GBG 40.933 -90.43299999999999 245.0 19810904 19950814 725325 14816 BRADFORD/RINKENBERG US IL KBDF 41.233000000000004 -89.617 247.0 19730101 19751214 725325 99999 BRADFORD/RINKENBERG US IL KBDF 41.233000000000004 -89.617 247.0 20011226 20011226 725326 04894 WHITESIDE CO ARPT-JOS H BITTOR F FLD ARPT US IL KSQI 41.743 -89.676 197.2 20060101 20200625 725326 99999 STERLING ROCKFALLS US IL KSQI 41.743 -89.68299999999999 197.0 19910711 20051231 725327 04846 PORTER COUNTY MUNICIPAL AIRPORT US IN KVPZ 41.453 -87.006 234.7 20060101 20200625 725327 99999 PORTER CO MUNI US IN KVPZ 41.45 -87.0 241.0 19990114 20051231 725330 14827 FORT WAYNE INTERNATIONAL AIRPORT US IN KFWA 40.971000000000004 -85.206 241.1 19411101 20200625 725334 99999 PERU/GRISSOM RWY 23 US IN 40.65 -86.15 247.0 19850414 19860410 725335 94833 GRISSOM AFB AIRPORT US IN KGUS 40.65 -86.15 247.5 20060101 20200625 725335 99999 GRISSOM ARB US IN KGUS 40.65 -86.15 247.0 19450201 20051231 725336 94895 DELAWARE CO-JOHNSON FD APT US IN KMIE 40.234 -85.39399999999999 285.6 20060101 20200625 725336 99999 DELAWARE CO JOHNSON US IN KMIE 40.233000000000004 -85.383 286.0 19730101 20051231 725337 04807 GARY/CHICAGO AIRPORT US IN KGYY 41.617 -87.417 180.1 20060101 20200625 725337 99999 GARY CHICAGO US IN KGYY 41.617 -87.4 180.0 19810126 20051231 725339 99999 CHIGAGO-WAUKEE ARPT US IL KPWK 42.117 -87.9 197.0 20010811 20020621 725340 14819 CHICAGO MIDWAY INTL ARPT US IL KMDW 41.786 -87.75200000000001 186.5 19730101 20200625 725342 13809 LRNCVLL-VINCNES INTL ARPT US IL KLWV 38.764 -87.60600000000001 130.8 20060101 20200625 725342 99999 LAWRENCEVILLE VINCEN US IL KLWV 38.764 -87.605 131.0 19970123 20051230 725344 99999 CHICAGO / CALUMET COAST GUARD ST US 41.72 -87.53 180.0 19940303 19960630 725345 14834 JOLIET REGIONAL AIRPORT US IL KJOT 41.5 -88.167 177.4 20020902 20200625 725345 99999 JOLIET RGNL US IL KJOT 41.518 -88.176 177.0 20010412 20031231 725346 94866 CHICAGO/MEIGS US IL KCGX 41.867 -87.6 181.0 19730101 20080618 725346 99999 CHICAGO/MEIGS US IL KCGX 41.867 -87.6 181.0 20000101 20030409 725347 14880 WAUKEGAN REGIONAL AIRPORT US IL KUGN 42.417 -87.867 221.6 20060101 20200625 725347 99999 CHICAGO/WAUKEGAN US IL KUGN 42.417 -87.867 222.0 19890421 20051231 725348 04831 LEWIS UNIVERSITY AIRPORT US IL KLOT 41.604 -88.085 201.2 20060101 20200625 725348 99999 LEWIS UNIVERSITY US IL KLOT 41.6 -88.1 207.0 20010412 20051231 725349 99999 AFWA ASSIGNED 0.0 0.0 0.0 19970101 20041231 725350 14848 SOUTH BEND REGIONAL AIRPORT US IN KSBN 41.707 -86.316 235.6 19730101 20200625 725354 04806 ELKHART MUNICIPAL AIRPORT US IN KEKM 41.717 -85.98299999999999 237.1 20060102 20200625 725354 99999 ELKHART MUNI US IN KEKM 41.717 -86.0 237.0 19810722 20051231 725360 94830 TOLEDO EXPRESS AIRPORT US OH KTOL 41.586999999999996 -83.806 205.4 19730101 20200625 725366 14825 FINDLAY AIRPORT US OH KFDY 41.013999999999996 -83.669 243.8 19730101 20200625 725370 94847 DETROIT METRO WAYNE COUNTY AIRPORT US MI KDTW 42.231 -83.331 192.3 19420801 20200625 725373 54819 GROSSE ILE MUNICIPAL AIRPORT US MI KONZ 42.099 -83.161 178.9 20060101 20200625 725373 99999 GROSSE ILE MUNI US MI KONZ 42.1 -83.167 180.0 19970718 20051231 725374 94889 ANN ARBOR MUNICIPAL ARPT US MI KARB 42.223 -83.744 255.7 20060101 20200626 725374 99999 ANN ARBOR MUNICIPAL US MI KARB 42.223 -87.74600000000001 256.0 19781205 20051231 725375 14822 DETROIT CITY AIRPORT US MI KDET 42.409 -83.01 190.8 19730101 20200625 725376 14853 WILLOW RUN AIRPORT US MI KYIP 42.233000000000004 -83.53299999999999 236.8 19730101 20200625 725376 99999 WILLOW RUN US MI KYIP 42.233000000000004 -83.51700000000001 218.0 20000101 20031231 725377 14804 SELFRIDGE AIR NATIONAL GUARD BASE US MI KMTC 42.608000000000004 -82.818 176.8 19370101 20200625 725377 99999 SELFRIDGE ANGB US MI KMTC 42.6 -82.833 177.0 20000101 20041231 725378 04887 LIVINGSTON COUNTY AIRPORT US MI KOZW 42.629 -83.984 287.7 20060101 20200625 725378 99999 LIVINGSTON CO US MI KOZW 42.633 -83.98299999999999 293.0 19760926 20051231 725380 99999 WINDSOR AIRPORT CA 42.266999999999996 -82.96700000000001 190.0 19730101 19770807 725383 54827 KIRSCH MUNICIPAL AIRPORT US MI KIRS 41.817 -85.43299999999999 281.9 20060101 20200626 725383 99999 KIRSCH MUNI US MI KIRS 41.817 -85.439 282.0 19970123 20051231 725384 04888 ST CLAIR COUNTY INTL ARPT US MI KPHN 42.911 -82.529 195.1 20060101 20200626 725384 99999 ST CLAIR CO INTL US MI KPHN 42.917 -82.53299999999999 198.0 19940718 20051231 725385 99999 BELLE ISLE COAST GUARD STATION US MI 42.33 -82.97 177.0 19760926 19960701 725386 94898 HARBOR BEACH US MI KP58 44.022 -82.79299999999999 179.8 20060101 20200625 725386 99999 PORT HOPE US MI KP58 44.016999999999996 -82.78299999999999 179.0 19781128 20051231 725387 94899 COPPER HARBOR US MI KP59 47.467 -87.883 190.8 20060101 20200625 725387 99999 COPPER HARBOR US MI KP59 47.467 -87.883 190.0 19781128 20051231 725390 14836 CAPITAL CITY AIRPORT US MI KLAN 42.776 -84.6 261.8 19730101 20200626 725394 04839 TULIP CITY AIRPORT US MI KBIV 42.746 -86.09700000000001 210.0 20060101 20200625 725394 99999 TULIP CITY US MI KBIV 42.75 -86.1 213.0 19820616 20051231 725395 14833 JAKSON CO-RYNOLDS FLD ARPT US MI KJXN 42.266999999999996 -84.46700000000001 304.2 19730101 20200625 725396 14815 W K KELLOGG AIRPORT US MI KBTL 42.308 -85.251 282.9 19421001 20200625 725396 99999 W K KELLOGG US MI KBTL 42.3 -85.25 290.0 20000101 20031231 725397 99999 BATH US MI 42.85 -84.48 261.0 19900907 19960701 725400 99999 SPICKARD US MO 40.25 -93.72 271.0 19771006 20030720 725404 04847 ADRIAN LENAWEE COUNTY ARPT US MI KADG 41.868 -84.079 242.6 20060101 20200625 725404 99999 LENAWEE CO US MI KADG 41.867 -84.083 244.0 19990114 20051231 725405 54816 GRATIOT COMMUNITY AIRPORT US MI KAMN 43.321999999999996 -84.68799999999999 227.7 20060101 20200626 725405 99999 GRATIOT COMMUNITY US MI KAMN 43.317 -84.68299999999999 230.0 19990114 20051231 725406 54817 HURON COUNTY MEMORIAL AIRPORT US MI KBAX 43.78 -82.986 233.5 20060101 20200625 725406 99999 HURON CO MEM US MI KBAX 43.783 -82.98299999999999 233.0 19990114 20051231 725407 04854 OTSEGO COUNTY AIRPORT US MI KGLR 45.013000000000005 -84.70100000000001 406.9 20060101 20200625 725407 99999 GAYLORD RGNL US MI KGLR 45.016999999999996 -84.7 405.0 19990114 20051231 725408 04881 SCHOOLCRAFT COUNTY AIRPORT US MI KISQ 45.983000000000004 -86.18299999999999 209.1 20060101 20200625 725408 99999 SCHOOLCRAFT CO US MI KISQ 45.967 -86.167 209.0 19990114 20051231 725409 04882 HILLSDALE MUNICIPAL ARPT US MI KJYM 41.92100000000001 -84.586 360.3 20060101 20200625 725409 99999 HILLSDALE MUNICIPAL US MI KJYM 41.92100000000001 -84.586 360.0 19990114 20051231 725414 04886 BRANCH COUNTY MEMO AIRPORT US MI KOEB 41.933 -85.053 292.3 20060101 20200625 725414 99999 BRANCH CO MEM US MI KOEB 41.933 -85.05 292.0 19990114 20051231 725415 54821 BROOKS FIELD AIRPORT US MI KRMY 42.251000000000005 -84.956 286.8 20060101 20200625 725415 99999 BROOKS FLD US MI KRMY 42.25 -84.95 287.0 19990114 20051231 725416 14864 ROBEN-HOOD ARPT US MI KRQB 43.717 -85.5 282.9 20060101 20200625 725416 99999 ROBEN HOOD US MI KRQB 43.717 -85.5 302.0 19990114 20051231 725417 54822 MASON JEWETT FIELD AIRPORT US MI KTEW 42.566 -84.43299999999999 281.0 20060101 20200625 725417 99999 MASON JEWETT FLD US MI KTEW 42.567 -84.417 280.0 19990114 20051231 725418 54823 CUSTER AIRPORT US MI KTTF 41.94 -83.435 186.5 20060101 20200625 725418 99999 CUSTER US MI KTTF 41.933 -83.43299999999999 188.0 19990114 20051231 725420 14931 SE IOWA REGIONAL AIRPORT US IA KBRL 40.783 -91.125 210.9 20050101 20200625 725424 04885 MOUNT PLEASANT MUNI ARPT US MI KMOP 43.622 -84.73700000000001 230.1 20060101 20200626 725424 99999 MOUNT PLEASANT MUNI US MI KMOP 43.617 -84.73299999999999 230.0 20010811 20051231 725430 94822 GREATER ROCKFORD AIRPORT US IL KRFD 42.193000000000005 -89.09299999999999 222.5 19730101 20200625 725434 54789 POCONO MTNS MUNI AIRPORT US PA KMPO 41.138999999999996 -75.37899999999999 584.0 20060101 20200625 725434 99999 POCONO MOUNTAINS MUN US PA KMPO 41.133 -75.383 584.0 20010811 20051231 725440 14923 QUAD CITY INTERNATIONAL AIRPORT US IL KMLI 41.465 -90.523 180.4 19730101 20200625 725450 14990 THE EASTERN IOWA AIRPORT US IA KCID 41.883 -91.71700000000001 264.6 19730101 20200625 725453 14930 ATLANTIC MUNICIPAL AIRPORT US IA KAIO 41.407 -95.04700000000001 360.3 20060101 20200625 725453 99999 ATLANTIC MUNI US IA KAIO 41.4 -95.05 360.0 19950423 20051231 725454 04903 WASHINGTON MUNICIPAL ARPT US IA KAWG 41.276 -91.67299999999999 229.8 20060101 20200625 725454 99999 WASHINGTON MUNI US IA KAWG 41.283 -91.667 230.0 19950423 20051231 725455 14931 SOUTHEAST IOWA RGNL US IA KBRL 40.783 -91.125 214.0 19730101 20100731 725456 04921 KEOKUK MUNICIPAL AIRPORT US IA KEOK 40.46 -91.428 204.5 20060101 20200625 725456 99999 KEOKUK MUNI US IA KEOK 40.46 -91.428 205.0 19950212 20051231 725457 04904 ALGONA MUNICIPAL AIRPORT US IA KAXA 43.078 -94.272 371.6 20060101 20200625 725457 99999 ALGONA US IA KAXA 43.078 -94.272 372.0 19950430 20051231 725458 04907 CLARION MUNICIPAL AIRPORT US IA KCAV 42.742 -93.759 354.2 20060101 20200625 725458 99999 CLARION MUNI US IA KCAV 42.75 -93.76700000000001 354.0 19950423 20051231 725460 14933 DES MOINES INTERNATIONAL AIRPORT US IA KDSM 41.534 -93.65299999999999 291.7 19730101 20200625 725461 94988 MARSHALLTOWN MUNICIPAL APT US IA KMIW 42.111000000000004 -92.916 296.9 20060101 20200625 725461 99999 MARSHALL TOWN MUNI US IA KMIW 42.113 -92.91799999999999 297.0 19970123 20051231 725462 14937 IOWA CITY MUNICIPAL ARPT US IA KIOW 41.633 -91.54299999999999 198.1 19970101 20200625 725462 99999 IOWA CITY MUNI US IA KIOW 41.638999999999996 -91.54700000000001 204.0 20000101 20031231 725463 14966 CHARLES CITY MUNICIPAL APT US IA KCCY 43.073 -92.611 342.9 20060101 20200625 725463 99999 CHARLES CITY MUNI US IA KCCY 43.067 -92.617 343.0 19950423 20051231 725464 04977 NEWTON MUNICIPAL AIRPORT US IA KTNU 41.674 -93.022 290.5 20060101 20200626 725464 99999 NEWTON MUNI US IA KTNU 41.667 -93.01700000000001 290.0 19950212 20051231 725465 14950 OTTUMWA INDUSTRIAL AIRPORT US IA KOTM 41.108000000000004 -92.447 256.6 19730101 20200625 725466 04938 ANKENY REGIONAL AIRPORT US IA KIKV 41.691 -93.566 277.4 20060101 20200625 725466 99999 ANKENY REGIONAL ARP US IA KIKV 41.683 -93.55 277.0 19730101 20051231 725467 04973 SHENANDOAH MUNICIPAL ARPT US IA KSDA 40.751 -95.413 296.0 20060101 20200625 725467 99999 SHENANDOAH MUNI US IA KSDA 40.75 -95.417 296.0 19950212 20051231 725468 04910 ARTHUR N. NEU AIRPORT US IA KCIN 42.04600000000001 -94.789 367.0 20060101 20200625 725468 99999 ARTHUR N NEU US IA KCIN 42.05 -94.78299999999999 367.0 19950423 20051231 725469 04913 CHARITON MUNICIPAL AIRPORT US IA KCNC 41.019 -93.359 320.0 20060101 20200625 725469 99999 CHARITON MUNI US IA KCNC 41.016999999999996 -93.367 320.0 19950423 20051231 725470 94908 DUBUQUE REGIONAL AIRPORT US IA KDBQ 42.398 -90.704 321.9 19730101 20200625 725472 94989 AMES MUNICIPAL AIRPORT US IA KAMW 41.99100000000001 -93.619 291.1 20060101 20200625 725472 99999 AMES MUNI US IA KAMW 42.0 -93.617 291.0 19970123 20051231 725473 94979 CLINTON MUNICIPAL AIRPORT US IA KCWI 41.833 -90.333 213.4 20060101 20200625 725473 99999 CLINTON MUNI US IA KCWI 41.833 -90.333 216.0 19880105 20051231 725474 04915 CRESTON MUNICIPAL AIRPORT US IA KCSQ 41.007 -94.363 394.4 20060101 20200625 725474 99999 CRESTON MUNI US IA KCSQ 41.016999999999996 -94.367 396.0 19950423 20051231 725475 04953 MONTICELLO REGIONAL ARPT US IA KMXO 42.224 -91.166 258.8 20060101 20200625 725475 99999 MONTICELLO RGNL US IA KMXO 42.217 -91.167 254.0 19950212 20051231 725476 04916 DECORAH MUNICIPAL AIRPORT US IA KDEH 43.275 -91.73899999999999 352.7 20060101 20200625 725476 99999 DECORAH MUNI US IA KDEH 43.276 -91.73899999999999 353.0 19950430 20051231 725477 04917 DENISON MUNICIPAL AIRPORT US IA KDNS 41.986000000000004 -95.381 388.9 20060101 20200625 725477 99999 DENISON MUNICIPAL US IA KDNS 41.986000000000004 -95.38 389.0 19950423 20051231 725478 04920 WEBSTER CITY MUNI AIRPORT US IA KEBS 42.43600000000001 -93.869 341.7 20060101 20200625 725478 99999 WEBSTER CITY MUNI US IA KEBS 42.437 -93.869 342.0 19950423 20051231 725479 04937 SCHENCK FIELD AIRPORT US IA KICL 40.722 -95.02600000000001 302.4 20060101 20200625 725479 99999 SCHENCK FLD US IA KICL 40.717 -95.03299999999999 302.0 19950423 20051231 725480 94910 WATERLOO MUNICIPAL AIRPORT US IA KALO 42.553999999999995 -92.40100000000001 264.6 19600301 20200625 725483 04930 FORT MADISON MUNICIPAL APT US IA KFSW 40.659 -91.32700000000001 220.7 20060103 20200623 725483 99999 FORT MADISON MUNI US IA KFSW 40.667 -91.333 221.0 19950423 20051231 725484 04942 LE MARS MUNICIPAL AIRPORT US IA KLRJ 42.778 -96.194 364.5 20060101 20200625 725484 99999 LE MARS MUNI US IA KLRJ 42.783 -96.2 365.0 19950423 20051231 725485 14940 MASON CITY MUNICIPAL ARPT US IA KMCW 43.153999999999996 -93.32700000000001 373.4 19730101 20200625 725486 04906 BOONE MUNICIPAL AIRPORT US IA KBNW 42.049 -93.848 353.6 20060101 20200625 725486 99999 BOONE MUNI US IA KBNW 42.05 -93.85 354.0 19730101 20051231 725487 04950 MUSCATINE MUNICIPIAL ARPT US IA KMUT 41.367 -91.15 166.7 20060101 20200625 725487 99999 MUSCATINE MUNI US IA KMUT 41.367 -91.15 167.0 19950423 20051231 725488 04955 OELWEIN MUNICIPAL AIRPORT US IA KOLZ 42.681000000000004 -91.97399999999999 328.0 20060101 20200625 725488 99999 OELWEIN MUNI US IA KOLZ 42.683 -91.96700000000001 328.0 19950423 20051231 725489 04959 ORANGE CITY MUNICIPAL ARPT US IA KORC 42.99 -96.06299999999999 431.0 20060101 20190301 725489 99999 ORANGE CITY MUNI US IA KORC 42.983000000000004 -96.06700000000001 431.0 19950423 20051231 725490 94933 FORT DODGE REGIONAL APRT US IA KFOD 42.55 -94.18299999999999 352.4 20060101 20200625 725490 99999 FORT DODGE (AWOS) US IA KFOD 42.55 -94.18299999999999 355.0 19780310 20051231 725493 04962 KNOXVILLE MUNICIPAL ARPT US IA KOXV 41.299 -93.11399999999999 282.2 20060101 20200622 725493 99999 KNOXVILLE US IA KOXV 41.299 -93.11399999999999 283.0 19950423 20051231 725494 04966 RED OAK MUNICIPAL AIRPORT US IA KRDK 41.01 -95.26 318.2 20060101 20200625 725494 99999 RED OAK MUNI US IA KRDK 41.016999999999996 -95.26700000000001 318.0 19950423 20051231 725495 04975 SHELDON MUNICIPAL AIRPORT US IA KSHL 43.208 -95.833 432.5 20060101 20200625 725495 99999 SHELDON MUNI US IA KSHL 43.217 -95.833 433.0 19950423 20051231 725496 04976 STORM LAKE MUNICIPAL ARPT US IA KSLB 42.597 -95.241 453.5 20060101 20200625 725496 99999 STORM LAKE MUNI US IA KSLB 42.6 -95.23299999999999 454.0 19950423 20051231 725497 04908 COUNCIL BLUFFS MUNI ARPT US IA KCBF 41.25899999999999 -95.76 381.9 20060101 20200625 725497 99999 COUNCIL BLUFFS MUNI US IA KCBF 41.266999999999996 -95.76700000000001 382.0 19950708 20051231 725498 94998 AUDUBON COUNTY AIRPORT US IA KADU 41.7 -94.917 392.3 20060101 20200625 725498 99999 AUDUBON CO US IA KADU 41.7 -94.917 392.0 19970718 20051231 725499 94991 LAMONI MUNICIPAL AIRPORT US IA KLWD 40.631 -93.90100000000001 346.0 20060101 20200625 725499 99999 LAMONI MUNI AIRPORT US IA KLWD 40.633 -93.9 344.0 19990323 20051231 725500 14942 EPPLEY AIRFIELD AIRPORT US NE KOMA 41.31 -95.899 299.3 19740419 20200625 725510 14939 LINCOLN MUNICIPAL AIRPORT US NE KLNK 40.851 -96.74799999999999 362.7 19421001 20200626 725512 14989 YORK MUNICIPAL AIRPORT US NE KJYR 40.894 -97.626 507.2 20060101 20200625 725512 99999 YORK MUNI US NE KJYR 40.897 -97.62299999999999 509.0 20040510 20051231 725513 04901 ARRA MUNI-AL POTTER FLD AP US NE KAUH 40.893 -97.99700000000001 548.3 20060101 20200625 725513 99999 AURORA MUNI AL POTT US NE KAUH 40.9 -97.98299999999999 550.0 19980408 20051231 725514 03757 WEBSTER NAVAL OUTLYING FIELD US MD KNUI 38.141999999999996 -76.429 6.4 20060822 20200625 725515 94947 BEATRICE MUNICIPAL AIRPORT US NE KBIE 40.301 -96.75399999999999 403.6 20060101 20200626 725515 99999 BEATRICE MUNI US NE KBIE 40.3 -96.75 404.0 19730101 20051231 725520 14935 CENTRAL NEBRASKA REGIONAL AIRPORT US NE KGRI 40.961000000000006 -98.314 560.8 19440301 20200625 725524 94958 EVELYN SHARP FIELD AIRPORT US NE KODX 41.623000000000005 -98.948 629.1 20060101 20200625 725524 99999 EVELYN SHARP FLD US NE KODX 41.617 -98.95 631.0 19810806 20051231 725525 94949 HASTINGS MUNICIPAL AIRPORT US NE KHSI 40.601 -98.426 597.7 20060101 20200625 725525 99999 HASTINGS MUNI US NE KHSI 40.605 -98.428 598.0 19730101 20051231 725526 14905 KEARNEY MUNICIPAL AIRPORT US NE KEAR 40.733000000000004 -99.0 649.2 20060101 20200625 725526 99999 KEARNEY MUNI US NE KEAR 40.717 -99.0 649.0 19430312 20051231 725527 94978 TEKAMAH MUNICIPAL AIRPORT US NE KTQE 41.763999999999996 -96.178 313.3 20060101 20200625 725527 99999 TEKAMAH MUNI US NE KTQE 41.766999999999996 -96.18299999999999 313.0 19951107 20051231 725528 99999 CRAM FLD US NE KBUB 41.777 -99.15 665.1 19810121 19810429 725530 94918 OMAHA US NE 41.367 -96.01700000000001 405.7 19730101 19950916 725530 99999 OMAHA NE. US 41.367 -96.01700000000001 406.0 20011029 20050906 725532 14942 OMAHA EPPLEY AIRFIELD US NE KOMA 41.31 -95.899 299.3 19730101 19740217 725533 94957 BRENNER FIELD AIRPORT US NE KFNB 40.08 -95.59200000000001 298.7 20000101 20200625 725533 99999 FALLS CITY/BRENNER US NE KFNB 40.083 -95.6 300.0 19810904 19991231 725540 14949 OFFUTT AFB AIRPORT US NE KOFF 41.117 -95.917 319.1 19480112 20200625 725540 99999 OFFUTT AFB US NE KOFF 41.117 -95.9 321.0 20000101 20041231 725541 04993 NEBRASKA CITY MUNI AIRPORT US NE KAFK 40.606 -95.86399999999999 351.4 20060101 20200625 725541 99999 NEBRASKA CITY MUNI US NE KAFK 40.6 -95.867 354.0 20040510 20051231 725550 99999 US 19730101 19760305 725551 99999 BURWELL MUNI US NE K20 41.783 -99.15 664.0 19760305 19801101 725555 94946 BROKEN BOW MUNICIPAL ARPT US NE KBBW 41.433 -99.633 771.1 20060101 20200625 725555 99999 BROKEN BOW MUNI US NE KBBW 41.433 -99.65 776.0 19730101 20051231 725556 94975 AINSWORTH MUNICIPAL ARPT US NE KANW 42.577 -100.001 787.6 20060101 20200625 725556 99999 AINSWORTH MUNICIPAL US NE KANW 42.57899999999999 -100.0 789.0 19430203 20051231 725560 14941 KARL STEFAN MEMORIAL AIRPORT US NE KOFK 41.986000000000004 -97.435 472.7 19730101 20200625 725564 04924 FREMONT MUNICIPAL AIRPORT US NE KFET 41.449 -96.52 366.7 20060101 20200625 725564 99999 FREMONT MUNI US NE KFET 41.449 -96.52 367.0 19951107 20051231 725565 94951 COLUMBUS MUNICIPAL AIRPORT US NE KOLU 41.433 -97.35 441.1 20060101 20200625 725565 99999 COLUMBUS MUNI US NE KOLU 41.45 -97.333 440.0 19730101 20051231 725566 04957 THE O'NEILL MUNI-JOHN L BAKER FIELD AIRPORT US NE KONL 42.47 -98.68799999999999 619.1 20060101 20200625 725566 99999 THE ONEILL MUNI J BA US NE KONL 42.47 -98.68799999999999 619.0 19530804 20051231 725570 14943 SIOUX GATEWAY/COL BUD DAY FIELD AP US IA KSUX 42.391000000000005 -96.37899999999999 333.8 19421001 20200625 725580 99999 VALLEY US NE KOAX 41.317 -96.35 351.5 20000216 20050420 725610 24030 SIDNEY MUNICIPAL AIRPORT US NE KSNY 41.099 -102.986 1309.4 19770827 20200625 725610 99999 SIDNEY MUNI (AMOS) US NE KSNY 41.1 -102.98299999999999 1312.0 20000101 20031231 725620 24023 NORTH PLATTE RGNL AP LEE BIRD FD AP US NE KLBF 41.121 -100.669 846.7 19730101 20200625 725621 94063 SEARLE FIELD AIRPORT US NE KOGA 41.119 -101.76799999999999 990.6 20060101 20200625 725621 99999 SEARLE FLD US NE KOGA 41.117 -101.76700000000001 999.0 19970123 20051231 725624 14994 JIM KELLY FIELD AIRPORT US NE KLXN 40.789 -99.771 733.0 20050101 20200625 725624 99999 JIM KELLY FLD US NE KLXN 40.791 -99.777 735.0 19970123 20041231 725625 94040 MC COOK MUNICIPAL AIRPORT US NE KMCK 40.205999999999996 -100.59100000000001 771.1 20060101 20200625 725625 99999 MCCOOK RGNL US NE KMCK 40.2 -100.583 782.0 19730101 20051231 725626 24091 IMPERIAL MUNICIPAL AIRPORT US NE KIML 40.51 -101.62 996.1 19730401 20200625 725626 99999 IMPERIAL MUNI US NE KIML 40.509 -101.62100000000001 997.0 20000101 20031231 725627 99999 MULLEN / HOOKER COUNTY US NE KMHN 42.05 -101.07 994.0 19730101 19951209 725628 04935 BREWSTER FIELD AIRPORT US NE KHDE 40.45 -99.339 702.3 20060101 20200625 725628 99999 BREWSTER FLD US NE KHDE 40.45 -99.333 704.0 19730101 20051231 725630 24030 SIDNEY MUNICIPAL AP US NE KSNY 41.099 -102.986 1312.5 19730101 19770819 725634 99999 COZAD MUNI US NE KCZD 40.869 -100.00399999999999 762.6 19851106 19910405 725635 24044 ALLIANCE MUNICIPAL AIRPORT US NE KAIA 42.056999999999995 -102.802 1197.6 20060101 20200625 725635 99999 ALLIANCE MUNI US NE KAIA 42.05 -102.8 1198.0 19421122 20051231 725636 24017 CHADRON MUNICIPAL AIRPORT US NE KCDR 42.836999999999996 -103.098 1004.0 19730101 20200625 725636 99999 CHADRON MUNI US NE KCDR 42.833 -103.1 1005.0 20000101 20031231 725637 99999 GORDON MUNI US NE KGRN 42.806000000000004 -102.175 1085.7 19740101 20200624 725640 24018 CHEYENNE AIRPORT US WY KCYS 41.158 -104.807 1863.2 19480101 20200625 725643 99999 ARLINGTON EXIT I-80 US WY KARL 41.583 -106.2 2388.0 19750803 20080928 725644 99999 PUMPKIN VINE US WY KPUM 41.05 -105.46 2438.0 20030319 20040218 725645 24022 LARAMIE REGIONAL AIRPORT US WY KLAR 41.317 -105.68299999999999 2214.7 19730101 20200625 725646 99999 VEDAUWOO US WY KVDW 41.15 -105.4 2524.0 20030319 20080928 725647 99999 WHITAKER US WY KWTR 41.68 -105.45 1888.0 20020905 20031226 725648 99999 SIBLEY PEAK US WY KSIB 42.433 -105.03299999999999 1490.0 20020905 20041030 725649 99999 WHEATLAND US WY KBRX 41.95 -104.95 1509.0 20020905 20041027 725650 03017 DENVER INTERNATIONAL AIRPORT US CO KDEN 39.833 -104.65799999999999 1650.2 19940718 20200625 725660 24028 WESTERN NE REGIONAL/HEILIG FIELD AP US NE KBFF 41.871 -103.59299999999999 1202.4 19430113 20200625 725665 94073 KMBAL MUNI/R E ARRAJ FD AP US NE KIBM 41.18899999999999 -103.671 1491.7 20060101 20200625 725665 99999 KIMBALL MUNI R E ARR US NE KIBM 41.18 -103.67 1501.0 20030512 20051231 725670 24032 MILLER FIELD AIRPORT US NE KVTN 42.878 -100.55 789.4 19480101 20200625 725680 99999 DOUGLAS AIRPORT US WY 42.8 -105.383 1502.0 19730101 19760305 725681 24019 DOUGLAS US WY 4DG 42.75 -105.383 1466.1 19760305 19770227 725685 24019 DOUGLAS US WY K4DG 42.75 -105.383 1477.0 19770301 19950101 725686 94057 CONVERSE COUNTY AIRPORT US WY KDGW 42.79600000000001 -105.38 1504.5 20060101 20200625 725686 99999 CONVERSE CO US WY KDGW 42.797 -105.38600000000001 1503.0 19990114 20051231 725690 24089 NATRONA COUNTY INTERNATIONAL AP US WY KCPR 42.898 -106.47399999999999 1620.9 19400101 20200625 725700 24046 CRAIG-MOFFAT AIRPORT US CO KCAG 40.493 -107.524 1886.7 20060101 20200625 725700 99999 CRAIG-MOFFAT US CO KCAG 40.5 -107.53299999999999 1915.0 19770827 20051231 725705 94030 VERNAL AIRPORT US UT KVEL 40.443000000000005 -109.51299999999999 1606.3 20060101 20200625 725705 99999 VERNAL US UT KVEL 40.441 -109.51 1609.0 19730101 20051231 725706 99999 PRICE/CARBON(RAMOS) US UT 39.617 -110.75 1796.0 19730101 19770802 725707 99999 VERNAL US UT 40.47 -109.53 1612.0 19730620 19820730 725708 99999 ROOSEVELT & US UT U67 40.3 -109.98299999999999 1556.0 19730101 19850401 725710 94025 YAMPA VALLEY AIRPORT US CO KHDN 40.481 -107.21799999999999 2011.7 20050101 20200625 725711 99999 US 19730101 19741024 725715 94025 HAYDEN/YAMPA (AWOS) US CO KHDN 40.481 -107.21799999999999 2012.3 20060101 20100331 725715 99999 HAYDEN/YAMPA (AWOS) US CO 40.483000000000004 -107.21700000000001 2012.0 19730101 20041231 725716 99999 RIFLE AVIATION WEATHER REPORTING US CO 39.53 -107.8 1622.0 19730101 19960630 725717 03016 GARFIELD CO REGIONAL ARPT US CO KRIL 39.528 -107.72 1683.1 20060101 20200625 725717 99999 GARFIELD CO RGNL US CO KRIL 39.533 -107.73299999999999 1690.0 19870609 20051231 725720 24127 SALT LAKE CITY INTERNATIONAL AIRPORT US UT KSLC 40.778 -111.969 1287.8 19411101 20200625 725723 99999 SALT LAKE CITY US UT KZLC 40.783 -111.95 1288.0 19760520 19760607 725724 24174 PROVO MUNICIPAL AIRPORT US UT KPVU 40.219 -111.723 1370.7 20060101 20200625 725724 99999 PROVO MUNI US UT KPVU 40.219 -111.723 1371.0 19800529 20051231 725740 24027 ROCK SPRINGS ARPT US WY KRKS 41.593999999999994 -109.053 2055.9 19730101 19850531 725741 24027 ROCK SPRINGS ARPT US WY KRKS 41.593999999999994 -109.053 2055.9 19850531 19900228 725743 99999 ROCK SPRINGS VORTAC US WY 41.583 -109.01700000000001 2070.0 19881208 19901206 725744 24027 RCK SRINGS-SWETWTER CO APT US WY KRKS 41.595 -109.053 2055.0 19900301 20200625 725745 24057 RAWLINS MUNICIPAL US WY KRWL 41.8 -107.2 2055.3 19730101 20100731 725750 24126 OGDEN-HINCKLEY AIRPORT US UT KOGD 41.196000000000005 -112.01100000000001 1362.5 19730101 20200625 725750 99999 OGDEN-HINCKLEY MUNI US UT KOGD 41.2 -112.01700000000001 1362.0 20000101 20031231 725753 99999 EAGLE RANGE US UT KU16 41.05 -113.07 1292.0 19910711 20200621 725755 24101 HILL AFB AIRPORT US UT KHIF 41.117 -111.96700000000001 1459.7 19411001 20200625 725755 99999 HILL AFB US UT KHIF 41.117 -111.96700000000001 1460.0 20000101 20041231 725760 24021 HUNT FIELD AIRPORT US WY KLND 42.815 -108.726 1704.4 19730101 20200625 725763 94053 TORRINGTON MUNICIPAL ARPT US WY KTOR 42.06100000000001 -104.15799999999999 1279.9 20060101 20200625 725763 99999 TORRINGTON MUNI US WY KTOR 42.067 -104.15 1282.0 20010811 20051231 725765 24061 RIVERTON REGIONAL US WY KRIW 43.06399999999999 -108.459 1684.0 19730101 20070401 725765 99999 RIVERTON REGIONAL US WY 43.067 -108.46700000000001 1699.0 20000101 20031231 725770 99999 US 19730101 19750701 725771 99999 726710 US WY 42.533 -110.117 2079.0 19760405 19780314 725775 04111 EVAN-UINTA CO BURNS FLD AP US WY KEVW 41.273 -111.031 2183.3 19730101 20200625 725775 99999 EVANSTON UINTA CO BU US WY KEVW 41.266999999999996 -111.03299999999999 2175.0 20000101 20031231 725776 24166 JACKSON HOLE AIRPORT US WY KJAC 43.6 -110.73299999999999 1956.5 20060101 20200625 725776 99999 JACKSON HOLE US WY KJAC 43.6 -110.73299999999999 1966.0 19730101 20051231 725780 24156 POCATELLO REGIONAL AIRPORT US ID KPIH 42.92 -112.571 1357.0 19430101 20200625 725784 04109 ELK CITY US ID KP69 46.144 -115.596 451.1 20060101 20200625 725784 99999 LOWELL US ID KP69 46.133 -115.6 480.0 19830802 20051231 725785 24145 IDAHO FALLS REGIONAL ARPT US ID KIDA 43.519 -112.064 1442.6 19730101 20200625 725786 24151 MALAD CITY AIRPORT US ID KMLD 42.188 -112.24799999999999 1384.7 19730101 20200622 725786 99999 MALAD CITY US ID KMLD 42.167 -112.29700000000001 1373.0 20000101 20041231 725787 24158 STREVELL US ID K4SV 42.016999999999996 -113.25 1612.0 19730101 19840913 725788 94182 MC CALL US ID KMYL 44.888999999999996 -116.102 1530.1 20080101 20091231 725788 99999 MC CALL US ID 44.883 -116.1 1531.0 19831103 19951108 725800 99999 US 19730101 19760305 725801 99999 US 19760305 19770213 725805 24172 DERBY FIELD AIRPORT US NV KLOL 40.068000000000005 -118.569 1189.3 19770101 20200625 725810 24193 WENDOVER AIRPORT US UT KENV 40.721 -114.036 1291.4 19420801 20200625 725810 99999 WENDOVER/AF. AUX. F US UT KENV 40.733000000000004 -114.03299999999999 1292.0 20000101 20031231 725814 99999 DUGWAY PRVG GROUND US UT 40.2 -112.93299999999999 1326.0 19770804 19891127 725816 99999 DUGWAY PG UTAH/MICHALES AAF US UT DPG 40.183 -112.93299999999999 1326.0 19430614 19760630 725820 99999 ELKO US NV 40.85 -115.73299999999999 1594.5 19730101 20000213 725821 99999 US 19760305 19770213 725824 03170 EUREKA (RAMOS) US NV KP68 39.601 -116.006 1809.3 20060101 20100731 725824 99999 EUREKA (RAMOS) US NV 39.516999999999996 -115.96700000000001 1993.0 19790510 20041231 725825 24121 ELKO REGIONAL AIRPORT US NV KEKO 40.829 -115.789 1533.1 19770101 20200625 725826 99999 AUSTIN US NV 39.5 -117.08 2014.0 19730101 20030501 725827 94190 WILD HORSE RESERVOIR US NV KAWH 41.636 -115.801 1901.7 20060102 20070701 725827 99999 WILDHORSE RES/ELKO US NV KAWH 41.667 -115.78299999999999 1902.0 19870629 20051227 725830 24128 WINNEMUCCA MUNICIPAL AIRPORT US NV KWMC 40.902 -117.80799999999999 1309.4 19730101 20200625 725835 24119 BATTLE MOUNTAIN AIRPORT US NV KBAM 40.611999999999995 -116.89200000000001 1373.1 19730101 20200625 725835 99999 BATTLE MOUNTAIN US NV KBAM 40.6 -116.867 1381.0 20000101 20041231 725837 99999 SUSANVILLE MUNI US CA KSVE 40.376 -120.573 1264.6 19770301 20200624 725840 99999 US 19730101 19760305 725841 99999 SUSANVILLE MUNI US CA SVE 40.383 -120.56700000000001 1264.0 19760305 19770227 725845 23225 BLUE CANYON - NYACK ARPT US CA KBLU 39.277 -120.71 1608.1 19730101 20200625 725846 93201 TRUCKEE-TAHOE AIRPORT US CA KTRK 39.32 -120.139 1798.3 20060101 20200625 725846 99999 TRUCKEE-TAHOE US CA KTRK 39.32 -120.133 1798.0 19730101 20051231 725847 93230 LAKE TAHOE AIRPORT US CA KTVL 38.898 -119.995 1924.5 20000101 20200625 725847 99999 LAKE TAHOE US CA KTVL 38.883 -120.0 1909.0 19730101 19991231 725848 99999 SHELTER COVE US CA 40.02 -124.07 21.0 19730101 20070628 725850 93228 HAYWARD EXECUTIVE AIRPORT US CA KHWD 37.654 -122.115 13.1 20100801 20200625 725860 99999 GOODING MUNICIPAL US ID 42.917 -114.76700000000001 1137.0 19730101 20051215 725861 24142 GOODING MUNICIPAL ARPT US ID GNG 42.917 -114.76700000000001 1127.2 19760305 19820531 725864 94182 MCCALL MUNICIPAL AIRPORT US ID KMYL 44.888999999999996 -116.102 1528.0 20050101 20200625 725865 94161 FRIEDMAN MEMORIAL AIRPORT US ID KSUN 43.5 -114.3 1617.3 20060101 20200625 725865 99999 FRIEDMAN MEM US ID KSUN 43.5 -114.3 1622.0 19730101 20051231 725866 94178 JSIN FLD-MAGIC VLY RGN APT US ID KTWF 42.482 -114.48700000000001 1265.2 20060101 20200625 725866 99999 JOSLIN FLD MAGIC VA US ID KTWF 42.483000000000004 -114.48299999999999 1265.0 19730101 20051231 725867 24133 BURLEY MUNICIPAL AIRPORT US ID KBYI 42.542 -113.766 1266.1 19730101 20200625 725868 94184 ALLEN H TIGERT AIRPORT US ID KU78 42.65 -111.583 1779.7 20060101 20120928 725868 99999 ALLEN H TIGERT US ID KU78 42.633 -111.583 1780.0 19840111 20051231 725869 94186 MALTA US ID K77M 42.302 -113.335 1375.0 19850208 20100731 725869 99999 MALTA US ID K77M 42.32 -113.33 1375.0 20000101 20041231 725870 99999 US 19730103 19750514 725871 99999 US 19750515 19770211 725875 99999 OWYHEE US NV KOWY 41.953 -116.18799999999999 1638.0 19770301 19850619 725890 99999 US 19730101 19760305 725891 99999 LAKEVIEW US OR 42.183 -120.35 1455.0 19760305 19770227 725895 94236 KLAMATH FALLS AIRPORT US OR KLMT 42.147 -121.72399999999999 1244.8 19590901 20200625 725895 99999 KLAMATH FALLS US OR KLMT 42.15 -121.73299999999999 1248.0 20000101 20031231 725896 99999 LAKEVIEW US OR 42.22 -120.35 1455.0 19770301 19971001 725900 99999 FORT BRAGG US CA 39.4 -123.82 19.0 19430607 20031207 725905 23275 UKIAH MUNICIPAL AIRPORT US CA KUKI 39.126 -123.20100000000001 183.2 19730101 20200625 725905 99999 UKIAH MUNI US CA KUKI 39.117 -123.2 187.0 20000101 20031231 725910 24216 RED BLUFF MUNICIPAL ARPT US CA KRBL 40.152 -122.25399999999999 107.6 19730101 20200625 725915 24257 REDDING MUNICIPAL ARPT US CA KRDD 40.518 -122.29899999999999 153.0 19440901 19910331 725920 24257 REDDING MUNICIPAL AIRPORT US CA KRDD 40.518 -122.29899999999999 151.5 19910331 20200625 725930 23233 SALINAS MUNICIPAL AIRPORT US CA KSNS 36.664 -121.60799999999999 22.6 20050101 20200625 725939 99999 COUNCIL BLUFFS US IA 41.266999999999996 -95.76700000000001 382.0 19950423 19950531 725940 24213 WOODLEY ISLAND (NEW 10/94) US CA KEKA 40.81 -124.16 6.1 20060101 20200625 725940 99999 EUREKA US CA KEKA 40.8 -124.167 18.0 19480101 20051231 725945 24283 ARCATA AIRPORT US CA KACV 40.978 -124.109 61.0 19730101 20200625 725946 24286 JACK MCNAMARA FIELD ARPT US CA KCEC 41.78 -124.23700000000001 17.4 19730101 20200625 725946 99999 JACK MC NAMARA FLD US CA KCEC 41.766999999999996 -124.23299999999999 17.0 20000101 20031231 725947 99999 SAMOA / HUMBOLDT BAY US CA 40.77 -124.23 2.0 19750916 19960619 725948 99999 TRINIDAD HEAD COAST GUARD LIGHT US 41.05 -124.15 58.0 19760130 19960701 725949 99999 ST GEORGE REEF COAST GUARD LIGHT US CA 41.83 -124.4 45.0 19791223 19791223 725950 99999 ALTURAS US CA 41.5 -120.53299999999999 1341.0 19730101 19760305 725951 99999 US 19760305 19770213 725955 24259 SISKIYOU COUNTY AIRPORT US CA KSIY 41.781000000000006 -122.46799999999999 808.0 19500101 20200625 725955 99999 SISKIYOU CO US CA KSIY 41.783 -122.46700000000001 807.0 20000101 20031231 725956 24212 BURNEY US CA KBNY 40.883 -121.667 957.0 19730101 19860817 725956 99999 BURNEY US CA 40.883 -121.667 957.0 20041109 20041109 725957 24215 MOUNT SHASTA US CA KMHS 41.333 -122.333 1077.5 19770101 20200625 725957 99999 MOUNT SHASTA US CA KMHS 41.317 -122.31700000000001 1077.0 20000101 20031231 725958 94299 ALTURAS MUNICIPAL AIRPORT US CA KAAT 41.49100000000001 -120.564 1333.5 20060101 20200625 725958 99999 ALTURAS MUNI US CA KAAT 41.483000000000004 -120.56700000000001 1333.0 19831104 20051231 725959 99999 MONTAGUE US CA K1O5 41.733000000000004 -122.55 770.0 19480101 19960312 725970 24225 ROGUE VALLEY INTL-MEDFORD AIRPORT US OR KMFR 42.375 -122.87700000000001 400.2 19730101 20200625 725975 24235 SEXTON SUMMIT US OR KSXT 42.6 -123.36399999999999 1168.0 19730101 20200625 725976 94285 LAKE COUNTY AIRPORT US OR KLKV 42.167 -120.4 1441.1 20060101 20200625 725976 99999 LAKE CO US OR KLKV 42.167 -120.4 1443.0 19910829 20051231 725980 99999 US 19730101 19760305 725981 99999 US 19760305 19770213 725985 24267 BROOKINGS US OR KBOK 42.074 -124.29 139.9 19770225 20200625 725985 99999 BROOKINGS US OR 42.05 -124.28 24.0 20000101 20020417 725990 99999 US 19730101 19741201 725995 99999 CAPE BLANCO COAST GUARD STATION US OR 42.83 -124.57 57.0 19750911 19811004 726000 99999 SABLE ISLAND & CA 43.933 -60.016999999999996 2.0 19730101 19770630 726010 99999 SHEARWATER(CAN-MIL) CA 44.633 -63.5 51.0 19730101 19770810 726020 99999 US 19730101 19760405 726021 99999 US 19760407 19770125 726025 99999 WESTERN HEAD (MARS) CA 44.633 -63.5 51.0 19770125 19770630 726030 99999 YARMOUTH AIRPORT CA 43.833 -66.083 48.0 19730101 19770630 726035 99999 MOUNT DESSERT (CGS) US ME 43.967 -68.133 1.0 19750911 19800911 726036 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SANFORD REGIONAL AIRPORT US ME KSFM 43.394 -70.708 74.4 20060101 20200625 726064 99999 SANFORD RGNL US ME KSFM 43.4 -70.7 74.0 19450301 20051231 726065 99999 GOAT ISLAND REMOTE AUTOMATIC MET US 43.33 -70.4 12.0 19750911 19891026 726066 99999 HALFWAY ROCK COAST GUARD LIGHT S US 43.65 -70.03 1.0 19750803 19810623 726067 99999 SCITUATE COAST GUARD STATION US MA 42.2 -70.72 1.0 19750911 19960401 726068 99999 RACE POINT COAST GUARD STATION US MA 42.05 -70.18 1.0 19750911 19960701 726069 99999 SANDWICH COAST GUARD STATION US MA 41.78 -70.5 1.0 19750911 19960701 726070 14606 BANGOR INTERNATIONAL ARPT US ME KBGR 44.798 -68.819 45.1 20100801 20200626 726070 99999 BANGOR INTL US ME KBGR 44.8 -68.817 60.0 19730101 20100731 726071 14606 BANGOR AIRPORT US ME KBGR 44.798 -68.819 58.5 19411201 19900228 726073 14615 WATERVILLE ROBERT LAFLEUR ARPT US ME KWVL 44.533 -69.667 94.5 20060101 20200625 726073 99999 WATERVILLE R LAFLEUR US ME KWVL 44.533 -69.683 101.0 19880105 20051231 726074 99999 GREENVILLE (AMOS) US ME 45.45 -69.55 427.0 19810310 19910304 726076 99999 HERON NECK COAST GUARD LIGHT STA US 44.03 -68.87 1.0 19750808 19811218 726077 14616 HANCOCK CO-BAR HARBOR ARPT US ME KBHB 44.45 -68.367 26.8 20060101 20200625 726077 99999 HANCOCK CO BAR HARBO US ME KBHB 44.45 -68.367 25.0 19421102 20051231 726078 99999 EGG ROCK LIGHT STATION US ME 44.35 -68.13 12.0 19750911 19761023 726079 94601 KNOX COUNTY REGIONAL ARPT US ME KRKD 44.067 -69.1 14.3 20060101 20200626 726079 99999 KNOX CO RGNL US ME KRKD 44.067 -69.1 17.0 19770427 20051231 726080 14608 EASTPORT US ME KEPM 44.917 -67.0 23.0 19730101 20050604 726080 99999 EASTPORT MUNI US ME KEPM 44.91 -67.013 13.7 20010106 20041015 726083 04836 NRN AROOSTOOK REGIONAL APT US ME KFVE 47.286 -68.313 301.1 20060101 20200625 726083 99999 NORTHERN AROOSTOOK US ME KFVE 47.285 -68.313 301.0 19880105 20051231 726084 99999 WEST JONESPORT COAST GUARD STATI US 44.53 -67.62 5.0 19850130 19960701 726085 99999 WEST QUODDY HEAD COAST GUARD LIG US 44.8 -66.95 1.0 19750911 19880531 726086 99999 LIBBY ISLAND (CGS) US ME 44.567 -67.367 1.0 19760630 19830224 726087 99999 PORTLAND HEAD COAST GUARD LIGHT US 43.62 -70.2 23.0 19780211 19890523 726088 14606 BANGOR INTL US ME KBGR 44.798 -68.819 58.5 19900301 20100731 726090 99999 SAINT JOHN AIRPORT CA 45.317 -65.883 93.0 19730101 19770801 726100 99999 SHERBROOKE AIRPORT CA 45.433 -71.683 239.0 19730101 19770630 726110 99999 US 19730101 19760305 726111 94765 LEBANON MUNICIPAL AP US NH KLEB 43.626000000000005 -72.305 173.7 19760305 19770227 726114 54771 MORRISVILLE-STOWE ST ARPT US VT KMVL 44.534 -72.61399999999999 223.1 20060101 20200625 726114 99999 MORRISVILLE STOWE ST US VT KMVL 44.533 -72.617 223.0 19970123 20051231 726115 54740 HARTNESS ST (SPNGFLD) ARPT US VT KVSF 43.343999999999994 -72.518 176.2 20060101 20200625 726115 99999 HARTNESS STATE US VT KVSF 43.35 -72.517 176.0 19730924 20051231 726116 94765 LEBANON MUNICIPAL AIRPORT US NH KLEB 43.626000000000005 -72.305 182.3 19930101 20200625 726116 99999 LEBANON MUNI US NH KLEB 43.617 -72.3 184.0 19770301 20031231 726120 99999 NEWPORT US VT 44.93 -72.2 233.0 19730101 20010621 726130 14755 MT. WASHINGTON OBSERVATORY US NH KMWN 44.27 -71.303 1911.7 20060101 20200624 726130 99999 MOUNT WASHINGTON US NH KMWN 44.266999999999996 -71.3 1910.0 19730101 20051231 726134 54728 WHITEFIELD (ASOS) US NH KHIE 44.368 -71.545 327.4 20080101 20091231 726134 99999 WHITEFIELD (ASOS) US NH KHIE 44.35 -71.55 319.0 19960628 19960628 726140 54742 ST. JOHNSBURY(AMOS) US VT K1V4 44.42 -72.01899999999999 212.4 19730101 20200625 726145 94705 EDWARD F KNAPP STATE ARPT US VT KMPV 44.20399999999999 -72.562 343.2 19730101 20200625 726150 99999 WOLFEBORO/LAKES RGN US NH 43.583 -71.267 177.0 19730101 19780926 726155 54736 LACONIA MUNICIPAL AIRPORT US NH KLCI 43.567 -71.433 166.1 20060101 20200625 726155 99999 LACONIA MUNI US NH KLCI 43.567 -71.417 166.0 19730101 20051231 726156 99999 WOOD ISLAND LIGHT STATION US ME 43.45 -70.32 9.0 19781128 19861118 726157 99999 OWL'S HEAD LIGHT STATION US ME 44.08 -69.03 15.0 19781128 19890303 726160 94700 BERLIN MUNICIPAL AIRPORT US NH KBML 44.576 -71.179 353.0 20060101 20200625 726160 99999 BERLIN MUNICIPAL US NH KBML 44.583 -71.183 353.0 19730101 20051231 726163 54770 JAFFREY MINI-SLVR RNCH APT US NH KAFN 42.805 -72.00399999999999 317.0 20060101 20200625 726163 99999 JAFFREY ARPT SILVER US NH KAFN 42.8 -72.0 317.0 19970313 20051231 726164 54728 MT WASHINGTON RGNL AIRPORT US NH KHIE 44.368 -71.545 327.4 20050101 20200625 726164 99999 MT WASHINGTON RGNL US NH KHIE 44.368 -71.544 327.0 19990114 20180516 726165 94721 DILLANT-HOPKINS AIRPORT US NH KEEN 42.9 -72.267 146.6 20060101 20200626 726165 99999 DILLANT HOPKINS US NH KEEN 42.9 -72.267 149.0 19730104 20051231 726166 54781 W. H. MORSE STATE AIRPORT US VT KDDH 42.891000000000005 -73.247 251.8 20060101 20200625 726166 99999 WILLIAM H MORSE STATE US VT 42.891000000000005 -73.24600000000001 252.1 20010811 20051231 726170 14742 BURLINGTON INTERNATIONAL AIRPORT US VT KBTV 44.468 -73.15 100.6 19480101 20200625 726180 99999 RUMFORD ME. US 44.533 -70.533 205.0 19730101 20070201 726183 54772 EASTERN SLOPES RGNL ARPT US ME KIZG 43.99100000000001 -70.94800000000001 135.6 20060101 20200626 726183 99999 EASTERN SLOPES RGNL US ME KIZG 43.99100000000001 -70.94800000000001 138.0 19970123 20051231 726184 94709 AUBURN/LEWISTON MUNI ARPT US ME KLEW 44.05 -70.283 87.8 20060101 20200626 726184 99999 AUBURN LEWISTON MUNI US ME KLEW 44.05 -70.283 88.0 19880310 20051231 726185 14605 AUGUSTA STATE AIRPORT US ME KAUG 44.316 -69.797 107.0 19730101 20200626 726186 99999 GREAT DUCK ISLAND COAST GUARD LI US 44.15 -68.25 1.0 19750911 19861215 726187 99999 ROCKLAND COAST GUARD STATION US ME 44.1 -69.1 1.0 19750911 19960701 726188 99999 BEAR ISLAND COAST GUARD STATION US ME 44.28 -68.27 12.0 19750916 19801006 726189 99999 SOUTHWEST HARBOR US ME 44.27 -68.32 5.0 19870320 19960701 726190 94626 MAINE FOREST SERVICE US ME KGNR 45.461999999999996 -69.595 427.0 20060101 20200625 726190 99999 GREENVILLE US ME KGNR 45.467 -69.583 316.0 19770827 20051231 726191 99999 GREENVILLE (AMOS) & US ME 45.467 -69.583 427.0 19730101 19770802 726196 14610 MILLINOCKET MUNICIPAL ARPT US ME KMLT 45.648 -68.693 123.8 19430301 20200625 726196 99999 MILLINOCKET MUNI US ME KMLT 45.65 -68.683 124.0 20000101 20031231 726200 99999 KINGSTON ARPT (MAN) CA 44.217 -76.6 93.0 19730101 19770630 726210 99999 TRENTON (CAN-MIL) CA 44.117 -77.533 86.0 19730101 19770630 726221 94725 MASSENA AP US NY KMSS 44.93600000000001 -74.846 65.2 19730101 19900228 726223 94725 MASSENA INTL/RCHARDS FD AP US NY KMSS 44.93600000000001 -74.846 65.2 19900301 20200626 726225 04742 PLATTSBURGH INTL US NY KPBG 44.651 -73.468 71.0 19560115 19950927 726225 64776 PLATTSBURGH INTERNATIONAL AIRPORT US NY KPBG 44.65 -73.467 71.3 20070618 20200625 726226 99999 LA CROSSE(WFO) US WI KARX 43.817 -91.2 200.0 19420101 19800314 726227 94790 WATERTOWN INTL AIRPORT US NY KART 43.989 -76.02600000000001 96.9 19490501 20200625 726228 94740 ADIRONDACK REGIONAL ARPT US NY KSLK 44.385 -74.207 506.9 20060101 20200625 726228 99999 ADIRONDACK RGNL US NY KSLK 44.383 -74.2 507.0 19730101 20051231 726230 99999 LONDON AIRPORT CA 43.033 -81.15 278.0 19730101 19770630 726240 99999 TORONTO/PEARSON CA 43.683 -79.633 173.0 19730101 19770630 726245 99999 COTE-STE-CATH MOT CA 43.75 -79.483 198.0 19730101 19770630 726246 99999 HAMILTON AIRPORT & CA 43.167 -79.933 239.0 19730101 19770630 726247 99999 TORONTO IL ARPT AUT CA 43.633 -79.4 81.0 19730101 19770630 726248 99999 ST. CATHARINES ARPT CA 43.183 -79.183 98.0 19730101 19770630 726250 99999 PETAWAWA A ONT CA 45.95 -77.317 130.0 19730101 19770630 726260 99999 US 19730101 19750514 726261 99999 DARLINGTON & CA 44.233000000000004 -78.35 190.0 19750601 19770630 726266 99999 COBOURG CA 43.95 -78.167 78.0 19750807 19770630 726268 99999 POINT PETRE (MARS) CA 43.833 -77.15 81.0 19750905 19770630 726269 99999 PORT WELLER (MARS)& CA 43.25 -79.2 80.0 19750807 19770630 726270 94792 MONTREAL DORVAL INTL AP CA 45.467 -73.75 36.0 19730101 19770630 726275 99999 SAINT HUBERT ARPT & CA 45.516999999999996 -73.417 27.0 19730101 19770630 726276 99999 SUTTON JUNCTION/AUT CA 45.15 -72.583 237.0 19730108 19770630 726278 99999 MONTREAL/MIRABEL CA 45.683 -74.033 82.0 19751101 19770630 726280 99999 OTTAWA INTL AIRPORT CA 45.317 -75.667 114.0 19730101 19770630 726284 94836 SAWYER INTERNATIONAL APT US MI KSAW 46.35 -87.4 372.2 20060101 20200625 726284 99999 SAWYER INTL US MI KSAW 46.35 -87.383 372.0 20010811 20051231 726300 99999 EGBERT CA CXET 44.233000000000004 -79.783 251.0 19730101 20040820 726310 99999 MOUNT FOREST(MARS)& CA 43.983000000000004 -80.75 412.0 19730101 19770806 726315 99999 GODERICH CA 43.766999999999996 -81.7 213.0 19730102 19770630 726320 99999 WHITE LAKE US MI 42.683 -83.46700000000001 321.3 19770101 20020131 726330 99999 WIARTON AIRPORT CA 44.75 -81.1 222.0 19730101 19770630 726340 99999 GAYLORD US MI KAPX 44.9 -84.71700000000001 448.4 19730101 20010502 726341 99999 SARNIA CA 43.0 -82.3 181.0 19750501 19770630 726350 94860 GERALD R FORD INTERNATIONAL AIRPORT US MI KGRR 42.883 -85.524 244.8 19730101 20200625 726355 94871 SW MICHIGAN REGIONAL ARPT US MI KBEH 42.126000000000005 -86.428 196.0 20060101 20200625 726355 99999 SOUTHWEST MICHIGAN US MI KBEH 42.133 -86.43299999999999 196.0 19730101 20051231 726356 99999 SAINT JOSEPH COAST GUARD STATION US MI 42.12 -86.48 176.0 19770126 19960701 726357 94815 KLMAZO/BTL CREEK INTL ARPT US MI KAZO 42.235 -85.552 264.6 20060101 20200625 726357 99999 KALAMAZOO BATTLE CR US MI KAZO 42.233000000000004 -85.55 266.0 19730101 20051231 726358 00384 MICHIGAN CITY MUNICIPAL AIRPORT PHILLIPS FIELD US IN KMGC 41.703 -86.821 200.3 20120110 20200625 726358 99999 MICHIGAN CITY MUNICIPAL AIRPORT US IN KMGC 41.703 -86.821 199.6 19770126 20180516 726360 14840 MUSKEGON COUNTY AIRPORT US MI KMKG 43.17100000000001 -86.23700000000001 190.5 19730101 20200626 726364 04883 MASON COUNTY AIRPORT US MI KLDM 43.963 -86.40799999999999 195.1 20050101 20200625 726364 99999 MASON CO US MI KLDM 43.967 -86.4 197.0 20010811 20041231 726365 99999 LUDINGTON COAST GUARD STATION US MI 43.95 -86.47 182.0 19770126 19960630 726366 99999 MUSKEGON COAST GUARD STATION US MI 43.23 -86.33 182.0 19770126 19890803 726367 99999 POINT BETSIE / FRANKFORT US MI 44.62 -86.2 183.0 19770126 19850813 726370 14826 BISHOP INTERNATIONAL AIRPORT US MI KFNT 42.967 -83.749 234.7 19730101 20200626 726375 94817 OAKLAND CO. INTNL AIRPORT US MI KPTK 42.665 -83.41799999999999 297.5 20060101 20200625 726375 99999 OAKLAND CO INTL US MI KPTK 42.667 -83.417 299.0 19730101 20051231 726376 99999 PORT HURON COAST GUARD STATION US MI 43.0 -82.42 177.0 19770126 19960701 726377 99999 SAGINAW RIVER COAST GUARD STATIO US 43.63 -83.85 177.0 19760926 19960701 726378 99999 SHELBY US AL KMBX 33.167 -86.76700000000001 178.0 19760513 19760513 726379 14845 MBS INTERNATIONAL AIRPORT US MI KMBS 43.533 -84.08 201.2 19730101 20200625 726380 94814 ROSCOMMON COUNTY AIRPORT US MI KHTL 44.358999999999995 -84.67399999999999 350.8 19730101 20200625 726381 99999 HYTOP(NEXRAD) US AL KHTX 34.933 -86.083 536.0 19840403 19870704 726384 14817 WEXFORD COUNTY AIRPORT US MI KCAD 44.283 -85.417 397.8 19900724 20200625 726384 99999 WEXFORD CO US MI KCAD 44.283 -85.417 398.0 20000101 20031231 726385 94894 MANISTEE CO-BLACKER ARPT US MI KMBL 44.266999999999996 -86.25 189.3 20060101 20200626 726385 99999 MANISTEE CO BLACKER US MI KMBL 44.272 -86.24700000000001 189.0 19730101 20051231 726386 99999 FRANKFORT COAST GUARD STATION US MI 44.63 -86.25 174.0 19770126 19960630 726387 14850 CHERRY CAPITAL AIRPORT US MI KTVC 44.74100000000001 -85.583 188.4 19730101 20200625 726388 99999 LANSING SHOAL LS US MI 45.9 -85.56700000000001 177.0 19800613 19850919 726389 99999 NORTH MANITOU SHOAL US MI 45.02 -85.95 177.0 19760926 19800622 726390 94849 ALPENA COUNTY REGIONAL AIRPORT US MI KAPN 45.071999999999996 -83.564 208.5 19730101 20200625 726391 00385 BALD MOUNTAIN COTTONWOOD PASS US CO K7BM 38.783 -106.21700000000001 2995.3 20050611 20200625 726391 99999 COTTONWOOD PASS US CO K7BM 38.78 -106.22 2995.0 20080101 20180520 726392 00424 SUNLIGHT US CO K5SM 39.433 -107.383 3232.1 20050611 20200625 726392 99999 SUNLIGHT MTN US CO K5SM 39.43 -107.38 3232.0 20080129 20180520 726393 99999 ALPENA NEXRAD US MI APX 44.917 -84.71700000000001 476.0 19990111 19990111 726394 04874 LUCE COUNTY AIRPORT US MI KERY 46.31100000000001 -85.45700000000001 281.3 20060101 20200625 726394 99999 LUCE CO US MI KERY 46.31100000000001 -85.45700000000001 265.0 19810811 20051231 726395 14808 OSCODA-WURTSMITH AIRPORT US MI KOSC 44.45 -83.4 192.9 19430701 20200625 726395 99999 OSCODA WURTSMITH US MI KOSC 44.45 -83.4 193.0 20000101 20031231 726396 00422 WILKERSON PASS US CO K4BM 39.05 -105.516 3438.1 20050611 20200625 726396 99999 WILKERSON PASS US CO K4BM 39.05 -105.51 3438.0 19760926 20180515 726397 99999 TAWAS POINT COAST GUARD STATION US MI 44.25 -83.43 178.0 19760926 19960701 726398 99999 THUNDER BAY ISLAND US MI 45.07 -83.55 178.0 19760926 19801107 726399 99999 MANISTIQUE US MI 45.95 -86.23 178.0 19760116 20040920 726400 14839 GENERAL MITCHELL INTERNATIONAL AP US WI KMKE 42.955 -87.904 204.2 19480101 20200625 726403 99999 MILWAUKEE WSFO US WI 42.97 -88.55 307.1 20010904 20110810 726404 04865 LKLND/NOBL F LEE MEM FD AP US WI KARV 45.928000000000004 -89.73100000000001 496.8 20060101 20200625 726404 99999 LAKELAND NOBLE F LE US WI KARV 45.933 -89.73299999999999 497.0 19891023 20051231 726405 94869 LAWRENCE J TIMMERMAN AIRPORT US WI KMWC 43.108999999999995 -88.031 223.7 19730101 20200625 726405 99999 LAWRENCE J TIMMERMAN US WI KMWC 43.117 -88.03299999999999 227.0 20000101 20041231 726406 99999 KENOSHA COAST GUARD STATION US WI 42.58 -87.75 223.0 19760926 19960701 726407 99999 MILWAUKEE COAST GUARD LIGHT STAT US 43.02 -87.95 179.0 19760926 19960701 726408 99999 SHEBOYGAN COAST GUARD STATION US WI 43.75 -87.7 1.0 19760926 19960701 726409 04897 WAUKESHA COUNTY AIRPORT US WI KUES 43.041000000000004 -88.23700000000001 277.7 20060101 20200625 726409 99999 WAUKESHA CO US WI KUES 43.041000000000004 -88.23700000000001 278.0 19880222 20051231 726410 14837 DANE CO REGIONAL-TRUAX FIELD AIRPORT US WI KMSN 43.141000000000005 -89.345 264.0 19480101 20200625 726413 04875 WEST BEND MUNICIPAL ARPT US WI KETB 43.417 -88.133 269.4 20060101 20200626 726413 99999 WEST BEND MUNI US WI KETB 43.422 -88.12799999999999 270.0 20010811 20051231 726414 04873 MONROE MUNICIPAL AIRPORT US WI KEFT 42.615 -89.59100000000001 330.7 20060101 20200625 726414 99999 MONROE MUNI US WI KEFT 42.615 -89.59 331.0 20010811 20051231 726415 94854 ROCK COUNTY AIRPORT US WI KJVL 42.617 -89.03299999999999 246.3 20060101 20200625 726415 99999 SOUTHERN WISC RGNL US WI KJVL 42.62 -89.042 246.0 19730101 20051231 726416 14921 TRI-COUNTY REGIONAL ARPT US WI KLNR 43.211999999999996 -90.181 218.5 19730101 20200625 726416 99999 TRI CO RGNL US WI KLNR 43.217 -90.18299999999999 219.0 20000101 20031231 726417 54911 TAYLOR COUNTY AIRPORT US WI KMDZ 45.101000000000006 -90.303 448.1 20060101 20200625 726417 99999 TAYLOR CO US WI KMDZ 45.101000000000006 -90.303 448.0 19990114 20051231 726418 54912 L.O. SIMENSTAD MUNICIPAL AIRPORT US WI KOEO 45.308 -92.69 275.2 20060101 20200625 726418 99999 L O SIMENSTAD MUNI US WI KOEO 45.317 -92.7 275.0 19990114 20051231 726419 94929 JOHN F KENNEDY MEMO ARPT US WI KASX 46.549 -90.919 251.8 20060101 20200625 726419 99999 J F KENNEDY MEMORIAL US WI KASX 46.55 -90.917 252.0 20010811 20051231 726424 94818 JOHN H BATTEN AIRPORT US WI KRAC 42.761 -87.814 205.4 20060101 20200625 726424 99999 JOHN H BATTEN US WI KRAC 42.761 -87.815 205.0 19990114 20051231 726425 04841 SHEBOYGAN CO MEMO AIRPORT US WI KSBM 43.769 -87.851 227.4 20060101 20200625 726425 99999 SHEBOYGAN CO MEM US WI KSBM 43.766999999999996 -87.85 230.0 19990114 20051231 726426 04895 STEVENS POINT MUNI ARPT US WI KSTE 44.55 -89.53299999999999 338.3 20060101 20200625 726426 99999 STEVENS POINT MUNI US WI KSTE 44.55 -89.53299999999999 338.0 19990114 20051231 726427 54908 RICHARD I BONG AIRPORT US WI KSUW 46.68899999999999 -92.094 205.4 20060101 20200625 726427 99999 RICHARD I BONG US WI KSUW 46.683 -92.1 205.0 19990114 20051231 726430 14920 LA CROSSE MUNICIPAL AIRPORT US WI KLSE 43.879 -91.25299999999999 198.7 19480101 20200625 726435 14991 CHIPPEWA VALLEY RGNL ARPT US WI KEAU 44.867 -91.488 269.8 19730101 20200626 726436 94930 VOLK FIELD AIRPORT US WI KVOK 43.933 -90.26700000000001 278.0 19611001 20200625 726436 99999 VOLK FLD US WI KVOK 43.933 -90.25 278.0 20000103 20041231 726437 94940 SPARTA/FORT MC COY AIRPORT US WI KCMY 43.967 -90.73299999999999 252.7 20060101 20200626 726437 99999 SPART FORT MC COY US WI KCMY 43.967 -90.73299999999999 255.0 19790621 20051231 726438 94994 BOSCOBEL AIRPORT US WI KOVS 43.156000000000006 -90.678 204.8 20060101 20200626 726438 99999 BOSCOBEL US WI KOVS 43.167 -90.68299999999999 205.0 20010811 20051231 726440 14925 ROCHESTER INTERNATIONAL AIRPORT US MN KRST 43.903999999999996 -92.492 397.5 19730101 20200625 726444 04963 PRAIRIE DU CHIEN MUNI ARPT US WI KPDC 43.019 -91.124 201.5 20060101 20200626 726444 99999 PRAIRIE DU CHIEN MUN US WI KPDC 43.016999999999996 -91.117 201.0 20010811 20051231 726449 04891 MERRILL MUNICIPAL AIRPORT US WI KRRL 45.199 -89.711 401.4 20060101 20200626 726449 99999 MERRILL MUNI US WI KRRL 45.2 -89.71700000000001 402.0 20010811 20051231 726450 14898 AUSTIN STRAUBEL INTERNATIONAL AP US WI KGRB 44.479 -88.137 209.4 19500101 20200625 726452 04826 ALEXANDER FD S WOOD CO APT US WI KISW 44.358999999999995 -89.837 310.6 20060101 20200625 726452 99999 ALEXANDER FLD SOUTH US WI KISW 44.367 -89.833 311.0 19970123 20051231 726454 99999 TWO RIVERS COAST GUARD STATION US WI 44.13 -87.55 176.0 19780823 19960630 726455 94897 MANITOWOC COUNTY AIRPORT US WI KMTW 44.133 -87.667 198.4 20060101 20200625 726455 99999 MANITOWOC CO US WI KMTW 44.133 -87.68299999999999 198.0 19730101 20051231 726456 94855 WHITTMAN REGIONAL AIRPORT US WI KOSH 43.983999999999995 -88.557 238.4 20060101 20200625 726456 99999 WITTMAN RGNL US WI KOSH 43.983000000000004 -88.55 246.0 19730101 20051231 726457 04825 OUTAGAMIE CO RGNL AIRPORT US WI KATW 44.266999999999996 -88.51700000000001 279.5 20060101 20200625 726457 99999 OUTAGAMIE CO RGNL US WI KATW 44.25 -88.51700000000001 280.0 19800910 20051231 726458 04824 DOOR CO CHERRYLAND AIRPORT US WI KSUE 44.85 -87.417 220.7 20060101 20200625 726458 99999 DOOR CO CHERRYLAND US WI KSUE 44.85 -87.417 221.0 19810121 20051231 726459 99999 STURGEON BAY US WI 44.78 -87.32 176.0 19810806 19960701 726460 14897 WAUSAU MUNICIPAL ARPT US WI KAUW 44.928999999999995 -89.62799999999999 364.5 19730101 19850531 726461 14897 WAUSAU MUNICIPAL ARPT US WI KAUW 44.928999999999995 -89.62799999999999 364.5 19850531 19900219 726463 14897 WAUSAU DOWNTOWN AIRPORT US WI KAUW 44.928999999999995 -89.62799999999999 365.8 19900314 20200625 726464 54834 WATERTOWN MUNICIPAL AIRPORT US WI KRYV 43.167 -88.71700000000001 249.9 20060101 20200625 726464 99999 WATERTOWN MUNI US WI KRYV 43.167 -88.71700000000001 254.0 19950423 20051231 726465 94890 CENTRAL WISCONSIN AIRPORT US WI KCWA 44.783 -89.667 389.2 20060101 20200626 726465 99999 CENTRAL WISCONSIN US WI KCWA 44.783 -89.667 389.0 19730101 20051231 726466 54917 APPLETON MUNICIPAL AIRPORT US MN KAQP 45.228 -96.007 310.9 20060101 20200625 726466 99999 APPLETON MUNI ARPT US MN KAQP 45.23 -96.0 310.0 19791227 20051231 726467 54909 RICE LAKE REGIONAL-CARL'S FIELD AIRPORT US WI KRPD 45.419 -91.773 336.8 20060101 20200626 726467 99999 RICE LAKE RGNL CARLS US WI KRPD 45.417 -91.76700000000001 337.0 19870629 20051231 726468 54913 PRICE COUNTY AIRPORT US WI KPBH 45.708999999999996 -90.402 456.3 20060101 20200626 726468 99999 PRICE CO US WI KPBH 45.717 -90.4 456.0 19880111 20051231 726480 94853 DELTA COUNTY AIRPORT US MI KESC 45.733000000000004 -87.083 181.1 20060101 20200625 726480 99999 DELTA CO US MI KESC 45.723 -87.094 186.0 19730101 20051231 726482 99999 ESCANABA (AWOS) US MI 45.717 -87.1 186.0 19480101 19900109 726483 99999 ESCANABA/DELTA CO. US MI 45.717 -87.1 186.0 19900111 19910304 726487 94896 MEONE-MARINETTE TWIN CO AP US MI KMNM 45.117 -87.633 190.5 20050101 20200625 726487 99999 MENOMINEE MARINETTE US MI KMNM 45.126999999999995 -87.63799999999999 191.0 19730101 20041231 726498 04925 FAIRFIELD MUNICIPAL ARPT US IA KFFL 41.053000000000004 -91.979 243.5 20060101 20200625 726498 99999 FAIRFIELD MUNI US IA KFFL 41.053000000000004 -91.979 244.0 19950423 20051231 726499 94971 ESTHERVILLE MUNI AIRPORT US IA KEST 43.401 -94.74700000000001 401.4 20060101 20200625 726499 99999 ESTHERVILLE MUNI US IA KEST 43.407 -94.74600000000001 401.0 19870629 20051231 726500 14972 SPENCER MUNICIPAL AIRPORT US IA KSPW 43.163999999999994 -95.20200000000001 407.8 20060101 20200625 726500 99999 SPENCER US IA KSPW 43.167 -95.15 408.0 19730101 20051231 726502 54832 CLINTONVILLE MUNICIPAL AIRPORT US WI KCLI 44.614 -88.73100000000001 250.6 20060101 20200625 726502 99999 CLINTONVILLE MUNI US WI KCLI 44.617 -88.73299999999999 251.0 19970123 20051231 726503 54833 BARABOO WISCONSIN DELLS AIRPORT US WI KDLL 43.522 -89.774 297.5 20060101 20200625 726503 99999 BARABOO WISC DELLS US WI KDLL 43.522 -89.771 297.0 19970123 20051231 726504 54838 EAGLE RIVER UNION AIRPORT US WI KEGV 45.931999999999995 -89.26899999999999 500.5 20060101 20200625 726504 99999 EAGLE RIVER UNION US WI KEGV 45.931999999999995 -89.26899999999999 500.0 19970123 20051231 726505 04845 KENOSHA REGIONAL AIRPORT US WI KENW 42.595 -87.93799999999999 226.5 20060101 20200625 726505 99999 KENOSHA RGNL US WI KENW 42.583 -87.917 226.0 19970123 20051231 726506 04840 FOND DU LAC COUNTY AIRPORT US WI KFLD 43.769 -88.491 246.0 19990101 20200625 726506 99999 FOND DU LAC CO US WI KFLD 43.771 -88.488 246.0 19970123 19981231 726507 54907 IOWA COUNTY AIRPORT US WI KMRJ 42.887 -90.236 356.9 20060101 20200625 726507 99999 IOWA CO US WI KMRJ 42.883 -90.23299999999999 357.0 19970123 20051231 726508 94973 SAWYER COUNTY AIRPORT US WI KHYR 46.026 -91.444 367.0 20060101 20200625 726508 99999 SAWYER CO US WI KHYR 46.033 -91.45 371.0 19970123 20051231 726509 04898 DODGE COUNTY AIRPORT US WI KUNU 43.426 -88.70299999999999 285.3 20060101 20200625 726509 99999 DODGE CO US WI KUNU 43.433 -88.7 285.0 19970123 20051231 726510 14944 JOE FOSS FIELD AIRPORT US SD KFSD 43.578 -96.75399999999999 435.3 19421001 20200625 726513 99999 SIOUX FALLS NEXRAD US SD UDX 44.133 -102.833 954.0 19990408 19990408 726514 94032 CUSTER COUNTY AIRPORT US SD KCUT 43.733000000000004 -103.611 1690.1 20050101 20200625 726514 99999 CUSTER COUNTY US SD KCUT 43.733000000000004 -103.617 1707.0 19850522 20041231 726515 94902 BROOKINGS MUNICIPAL ARPT US SD KBKX 44.3 -96.8 502.3 20060101 20200625 726515 99999 BROOKINGS RGNL US SD KBKX 44.3 -96.81700000000001 502.0 19730101 20051231 726516 24024 PHILIP AIRPORT US SD KPHP 44.051 -101.601 672.4 19980702 20200625 726516 99999 PHILIP US SD KPHP 44.05 -101.6 673.0 20000101 20031231 726517 94039 PINE RIDGE AIRPORT US SD KIEN 43.021 -102.51799999999999 1015.3 20060101 20200625 726517 99999 PINE RIDGE US SD KIEN 43.016999999999996 -102.51700000000001 1016.0 19990114 20051231 726518 94990 WINNER REGIONAL AIRPORT US SD KICR 43.391000000000005 -99.84200000000001 619.4 20060101 20200625 726518 99999 WINNER US SD KICR 43.383 -99.85 619.0 19990114 20051231 726519 94993 SISSETON MUNICIPAL AIRPORT US SD K8D3 45.669 -96.991 353.9 20060101 20200625 726519 99999 SISSETON MUNI ARPT US SD K8D3 45.667 -97.0 354.0 20010811 20051231 726520 99999 PICKSTOWN SD. US 43.067 -98.53299999999999 453.0 19730101 19991128 726525 94911 CHAN GURNEY MUNICIPAL ARPT US SD KYKN 42.879 -97.36399999999999 357.2 20060101 20200625 726525 99999 CHAN GURNEY MUNI US SD KYKN 42.917 -97.383 398.0 19730101 20051231 726530 94943 CHAMBERLAIN MUNI AIRPORT US SD K9V9 43.766999999999996 -99.318 519.1 20060101 20200625 726530 99999 CHAMBERLAIN (AMOS) US SD K9V9 43.8 -99.31700000000001 530.0 19780310 20051231 726539 94056 FAITH MUNICIPAL AIRPORT US SD KD07 45.032 -102.01899999999999 786.4 20060101 20200625 726539 99999 FAITH MUNI US SD KD07 45.033 -102.01700000000001 787.0 19990114 20051231 726540 14936 HURON REGIONAL AIRPORT US SD KHON 44.398 -98.223 390.1 19730101 20200625 726543 99999 GLENWOOD US MN 45.65 -95.38 423.0 19930112 19950202 726544 04958 ORR REGIONAL AIRPORT US MN KORB 48.016000000000005 -92.85600000000001 399.6 20060101 20200625 726544 99999 ORR RGNL US MN KORB 48.016999999999996 -92.85 400.0 19930112 20051231 726545 94950 MITCHELL MUNICIPAL AIRPORT US SD KMHE 43.773999999999994 -98.038 396.2 20060101 20200625 726545 99999 MITCHELL MUNI US SD KMHE 43.775 -98.039 397.0 19730101 20051231 726546 14946 WATERTOWN MUNICIPAL ARPT US SD KATY 44.905 -97.149 532.8 19480101 20200625 726547 04931 GLENWOOD MUNICIPAL AIRPORT US MN KGHW 45.644 -95.32 424.6 20060101 20200625 726547 99999 GLENWOOD MUNI US MN KGHW 45.65 -95.31700000000001 425.0 19740809 20051231 726548 04971 WARROAD INTL-SWEDE CARLSON FLD ARPT US MN KRRT 48.941 -95.348 327.4 20060101 20200625 726548 99999 WARROAD INTL US MN KRRT 48.933 -95.333 327.0 19970123 20051231 726549 54905 COOK MUNICIPAL AIRPORT US MN KCQM 47.821999999999996 -92.689 404.5 20060101 20200625 726549 99999 COOK MUNI US MN KCQM 47.817 -92.68299999999999 404.0 19970718 20051231 726550 14926 ST CLOUD REGIONAL AIRPORT US MN KSTC 45.543 -94.051 310.3 19730101 20200625 726553 04951 MONTIVIDEO-CHIPPEWA CO APT US MN KMVE 44.968999999999994 -95.71 315.2 20060101 20200625 726553 99999 MONTEVIDEO CHIPPEWA US MN KMVE 44.968999999999994 -95.71700000000001 315.0 19880402 20051231 726554 54906 ST JAMES MUNICIPAL AIRPORT US MN KJYG 43.986000000000004 -94.55799999999999 325.2 20060101 20200625 726554 99999 ST JAMES MUNI US MN KJYG 43.986000000000004 -94.55799999999999 325.0 19860127 20051231 726555 94938 BRAINERD LAKES RGNL ARPT US MN KBRD 46.405 -94.131 372.2 20060101 20200625 726555 99999 BRAINERD LAKES RGNL US MN KBRD 46.4 -94.133 374.0 19730101 20051231 726556 14992 REDWOOD FALLS MUNI AIRPORT US MN KRWF 44.548 -95.08 311.2 20000101 20200625 726556 99999 REDWOOD FALLS MUNI US MN KRWF 44.55 -95.083 312.0 19491111 19991231 726557 14910 CHANDLER FIELD AIRPORT US MN KAXN 45.868 -95.39399999999999 431.6 19730101 20200625 726558 04914 CLOQUET CARLTON CO AIRPORT US MN KCOQ 46.703 -92.50399999999999 389.8 20060101 20200625 726558 99999 CLOQUET CARLTON CO US MN KCOQ 46.7 -92.5 390.0 19920804 20051231 726559 94976 SW MN RGNL MRSHL/RYAN FIELD AIRPORT US MN KMML 44.45 -95.81700000000001 359.4 20060101 20200625 726559 99999 SW MINNESOTA RGNL US MN KMML 44.451 -95.822 360.0 19840331 20051231 726560 24025 PIERRE REGIONAL AIRPORT US SD KPIR 44.381 -100.286 531.0 20100801 20200625 726560 94966 PIERRE RGNL US SD KFFM 46.283 -96.15 360.9 20060101 20100801 726560 99999 PIERRE RGNL US SD KPIR 44.383 -100.28299999999999 531.0 19840331 20051231 726561 94997 WADENA MUNICIPAL AIRPORT US MN KADC 46.446999999999996 -95.212 417.6 20060101 20200625 726561 99999 WADENA US MN KADC 46.45 -95.21700000000001 417.0 20020423 20051231 726562 04943 AIRLAKE AIRPORT US MN KLVN 44.628 -93.228 292.6 20060101 20200625 726562 99999 AIRLAKE US MN KLVN 44.629 -93.228 293.0 19970123 20051231 726563 94969 FARIBAULT MUNICIPAL ARPT US MN KFBL 44.333 -93.31700000000001 323.1 20060101 20200625 726563 99999 FARIBAULT MUNI US MN KFBL 44.325 -93.311 323.0 19861016 20051231 726564 04967 RED WING REGIONAL AIRPORT US MN KRGK 44.589 -92.485 237.7 20060101 20200625 726564 99999 RED WING RGNL US MN KRGK 44.583 -92.48299999999999 238.0 19911106 20051231 726565 04948 MORRIS MUNICIPAL AIRPORT US MN KMOX 45.566 -95.96799999999999 344.4 20060101 20200625 726565 99999 MORRIS MUNI US MN KMOX 45.567 -95.96700000000001 347.0 19911106 20051231 726566 04965 PIPESTONE MUNICIPAL ARPT US MN KPQN 43.983000000000004 -96.3 529.1 20060101 20200625 726566 99999 PIPESTONE MUNI US MN KPQN 43.983000000000004 -96.3 529.0 19911106 20051231 726567 04980 NEW ULM MUNICIPAL AIRPORT US MN KULM 44.318999999999996 -94.50200000000001 308.2 20060101 20200625 726567 99999 NEW ULM MUNI US MN KULM 44.317 -94.5 308.0 19911118 20051231 726568 04961 OWATONNA DEGNER RGNL ARPT US MN KOWA 44.123000000000005 -93.26100000000001 349.3 20060101 20200625 726568 99999 OWATONNA DEGNER RGNL US MN KOWA 44.117 -93.26700000000001 349.0 19920804 20051231 726569 04933 HTCHSON MUNI-BUTLR FLD APT US MN KHCD 44.858999999999995 -94.382 323.1 20060101 20200625 726569 99999 HUTCHINSON MUNI BUTL US MN KHCD 44.867 -94.383 323.0 19920804 20051231 726572 94966 FERGUS FALLS MUNICIPAL AIRPORT-EINAR MICKELSON FLD US MN KFFM 46.283 -96.15 360.6 20050101 20200625 726573 99999 AIRLAKE US MN 44.633 -93.23299999999999 292.0 19930112 19960815 726574 94985 MARSHFIELD MUNICIPAL ARPT US WI KMFI 44.638000000000005 -90.18799999999999 382.5 20060101 20200625 726574 99999 MARSHFIELD MUNI US WI KMFI 44.637 -90.189 389.0 19920807 20051231 726575 94960 CRYSTAL AIRPORT US MN KMIC 45.062 -93.351 262.4 20060101 20200625 726575 99999 CRYSTAL US MN KMIC 45.062 -93.354 265.0 19831103 20051231 726576 14928 WILLMAR RCO US MN KILL 45.117 -95.083 344.1 19901120 20090514 726576 99999 WILLMAR MUNI JOHN L RICE FLD US MN KILL 45.11600000000001 -95.089 343.5 20000101 20031231 726577 94974 ANOKA CO-BLNE AP(JNS FD) AP US MN KANE 45.15 -93.21700000000001 278.0 20060101 20200625 726577 99999 ANOKA CO BLAINE US MN KANE 45.15 -93.21700000000001 278.0 19901022 20051231 726578 04944 LITL FALS/MRSON CO-LNBRG FIELD AIRPORT US MN KLXL 45.949 -94.34700000000001 342.0 20060101 20200625 726578 99999 LITTLE FALLS MORRISO US MN KLXL 45.949 -94.34700000000001 342.0 19920804 20051231 726579 94963 FLYING CLOUD AIRPORT US MN KFCM 44.832 -93.471 276.5 20060101 20200625 726579 99999 FLYING CLOUD US MN KFCM 44.817 -93.45 276.0 19831103 20051231 726580 14922 MINNEAPOLIS-ST PAUL INTERNATIONAL AP US MN KMSP 44.883 -93.229 265.8 19450101 20200625 726583 04941 LITCHFIELD MUNICIPAL ARPT US MN KLJF 45.147 -94.507 347.5 20060101 20200625 726583 99999 LITCHFIELD MUNI US MN KLJF 45.1 -94.5 347.0 19850422 20051231 726584 14927 ST PAUL DWTWN HOLMAN FD AP US MN KSTP 44.931999999999995 -93.056 213.4 19831103 20200625 726584 99999 ST PAUL DOWNTOWN HO US MN KSTP 44.933 -93.05 215.0 20000101 20031231 726585 14954 MANKATO MUNICIPAL AIRPORT US MN KMKT 44.217 -93.917 311.2 20060101 20200625 726585 99999 MANKATA RGNL ARPT US MN KMKT 44.223 -93.919 311.0 19730101 20051231 726586 94948 FAIRMONT MUNICIPAL AIRPORT US MN KFRM 43.65 -94.417 353.9 20060101 20200624 726586 99999 FAIRMONT MUNI(AWOS) US MN KFRM 43.65 -94.417 354.0 19730101 20051231 726587 94927 WORTHINGTON MUNICIPAL ARPT US MN KOTG 43.645 -95.58 478.5 20060101 20200625 726587 99999 WORTHINGTON MUNI US MN KOTG 43.65 -95.583 480.0 19730101 20051231 726588 04956 WIOA MUNI-MAX CONRAD FD AP US MN KONA 44.077 -91.708 200.0 20060101 20200625 726588 99999 WINONA MUNI CONRAD F US MN KONA 44.083 -91.7 200.0 19911118 20051231 726589 94968 ALBERT LEA MUNICIPAL ARPT US MN KAEL 43.683 -93.367 383.7 20060101 20200625 726589 99999 ALBERT LEA (AWOS) US MN KAEL 43.683 -93.367 383.0 19860331 20051231 726590 14929 ABERDEEN REGIONAL AIRPORT US SD KABR 45.443000000000005 -98.413 395.3 19730101 20200625 726593 04946 JACKSON MUNICIPAL AIRPORT US MN KMJQ 43.65 -94.986 440.7 20060101 20200625 726593 99999 JACKSON MUNI US MN KMJQ 43.65 -94.98700000000001 441.0 19980201 20051231 726596 04978 DODGE CENTER ARPT US MN KTOB 44.018 -92.831 397.8 20060101 20200625 726596 99999 DODGE CENTER US MN KTOB 44.016999999999996 -92.833 398.0 20010811 20051231 726603 04974 SOUTH ST PAUL MUNI-RICHARD E FLEMING FLD ARPT US MN KSGS 44.857 -93.03299999999999 249.9 20060101 20200625 726603 99999 SOUTH ST PAUL MUNI US MN KSGS 44.85 -93.03299999999999 250.0 19950101 20051231 726605 00386 BLACK HILLS AIRPORT CLYDE ICE FIELD US SD KSPF 44.483000000000004 -103.78299999999999 1198.2 20050624 20200625 726605 99999 BLACK HILLS CLYDE ICE FLD US SD KSPF 44.48 -103.78299999999999 1198.2 19900727 20180322 726606 99999 BELLE FOURCHE MUNI US SD KEFC 44.733999999999995 -103.86200000000001 972.3 19921024 20040521 726610 99999 REDIG SD. US 45.266999999999996 -103.53299999999999 925.0 19770827 19890410 726620 24090 RAPID CITY REGIONAL AIRPORT US SD KRAP 44.04600000000001 -103.054 963.2 19730101 20200625 726625 24006 ELLSWORTH AIR FORCE BASE US SD KRCA 44.15 -103.1 999.1 19390201 20200625 726625 99999 ELLSWORTH AFB US SD KRCA 44.133 -103.1 999.0 20000101 20041231 726626 04864 LANGLADE COUNTY AIRPORT US WI KAIG 45.153999999999996 -89.111 463.9 20060101 20200626 726626 99999 LANGLADE CO US WI KAIG 45.15 -89.117 464.0 19730101 20051231 726627 94037 BUFFALO US SD K2WX 45.604 -103.546 915.6 19990101 20200625 726627 99999 BUFFALO US SD K2WX 45.6 -103.55 915.0 19740809 19981231 726630 99999 MOORCROFT US WY 4MC 44.266999999999996 -104.95 1303.0 19730101 19760503 726650 94023 GILLETTE-CAMPBELL CO. ARPT US WY KGCC 44.339 -105.542 1327.1 20060101 20200626 726650 99999 GILLETTE/GILLETTE-C US WY KGCC 44.349 -105.539 1230.0 19770828 20051231 726654 94054 JOHNSON COUNTY AIRPORT US WY KBYG 44.381 -106.721 1513.9 20060101 20200625 726654 99999 JOHNSON CO US WY KBYG 44.383 -106.71700000000001 1514.0 19990426 20051231 726655 99999 GILLETTE (AMOS) US WY 44.35 -105.53299999999999 1329.0 19761110 19770802 726656 99999 BANGOR CGS US WA 47.733000000000004 -122.71700000000001 0.0 19850118 19850130 726657 99999 WEST JONESPORT CGS& US ME 44.516999999999996 -67.6 0.0 19850118 19850130 726660 24029 SHERIDAN COUNTY AIRPORT US WY KSHR 44.769 -106.969 1202.4 19730101 20200625 726662 99999 US 19760820 19760920 726664 94173 YELLOWSTONE US WY KP60 44.544 -110.421 2388.1 19790322 20200625 726665 24062 WORLAND MUNICIPAL AIRPORT US WY KWRL 43.966 -107.95100000000001 1271.6 20000101 20200625 726665 99999 WORLAND MUNI US WY KWRL 43.967 -107.95 1288.0 19730101 19991231 726666 99999 CODY MUNI (AWOS) & US WY 44.516999999999996 -109.01700000000001 1551.0 19730101 19770802 726667 24048 SOUTH BIG HORN COUNTY ARPT US WY KGEY 44.516999999999996 -108.08200000000001 1198.8 20060101 20200625 726667 99999 SOUTH BIG HORN CO US WY KGEY 44.516999999999996 -108.083 1199.0 19800616 20051231 726670 99999 US 19730101 19760305 726671 99999 BROADUS & US MT 45.433 -105.4 922.0 19760305 19900219 726673 99999 BROADUS & US MT K4BQ 45.433 -105.4 922.0 19900314 19951206 726675 24037 MILES CITY MUNICIPAL ARPT US MT KMLS 46.427 -105.883 802.8 19730101 19830531 726676 24087 DAWSON COMMUNITY AIRPORT US MT KGDV 47.133 -104.8 748.9 20060101 20200625 726676 99999 DAWSON COMMUNITY US MT KGDV 47.133 -104.8 749.0 19730101 20051231 726679 04969 RUSH CITY REGIONAL AIRPORT US MN KROS 45.698 -92.95299999999999 281.3 20060101 20200625 726679 99999 RUSH CITY RGNL US MN KROS 45.7 -92.95 281.0 20010811 20051231 726680 99999 MOBRIDGE US SD 45.55 -100.417 522.0 19730101 19760305 726681 99999 MOBRIDGE US SD Y26 45.533 -100.43299999999999 508.0 19760305 19770227 726682 54914 PRINCETON MUNICIPAL AIRPORT US MN KPNM 45.56 -93.60799999999999 298.4 20060101 20200625 726682 99999 PRINCETON MUNI US MN KPNM 45.56 -93.60799999999999 298.0 19970313 20051231 726685 94052 MOBRIDGE MUNICIPAL AIRPORT US SD KMBG 45.54600000000001 -100.40799999999999 522.7 20060101 20200625 726685 99999 MOBRIDGE MUNI US SD KMBG 45.547 -100.40799999999999 523.0 19770301 20051231 726686 24025 PIERRE RGNL US SD KPIR 44.381 -100.286 526.1 19440301 20100731 726690 24057 RAWLINS MUNI/HARVEY FIELD ARPT US WY KRWL 41.8 -107.2 2053.1 20100801 20200625 726690 99999 RAWLINS MUNICIPAL US WY KRWL 41.8 -107.2 2065.0 19730101 20100731 726691 99999 LEMMON US SD Y22 45.933 -102.167 791.0 19760305 19770227 726695 99999 LEMMON MUNI US SD KLEM 45.919 -102.10600000000001 783.6 19770301 20010827 726700 24045 YELLOWSTONE REGIONAL ARPT US WY KCOD 44.516999999999996 -109.01700000000001 1552.0 20060101 20200625 726700 99999 CODY MUNI (AWOS) US WY KCOD 44.516999999999996 -109.01700000000001 1553.0 19770827 20051231 726704 99999 BUFFALO US WY 44.383 -106.71700000000001 1514.0 19990114 19990204 726710 24164 BIG PINEY-MARBLETON ARPT US WY KBPI 42.583999999999996 -110.10799999999999 2124.5 19990101 20200625 726710 99999 BIG PINEY (AMOS) US WY KBPI 42.567 -110.1 2124.0 19780310 19981231 726720 24061 RIVERTON REGIONAL AIRPORT US WY KRIW 43.06399999999999 -108.459 1659.6 20070401 20200625 726720 99999 RIVERTON US WY KRIW 43.06399999999999 -108.46 1684.0 20050101 20070331 726760 99999 US 19730101 19750813 726761 99999 WEST YELLOWSTONE & US MT 44.65 -111.1 2031.0 19750814 19900219 726763 24198 WEATHER SERVICE OFFICE US MT KWEY 44.65 -111.1 2030.9 20060103 20071019 726763 99999 WEST YELLOWSTONE US MT KWEY 44.65 -111.1 2031.0 19900314 20051222 726764 94163 YELLOWSTONE AIRPORT US MT KWYS 44.683 -111.117 2026.6 20060608 20200625 726764 99999 YELLOWSTONE US MT KWYS 44.683 -111.117 2025.0 19910801 20051007 726765 99999 WEST YELLOWSTONE & US MT 44.683 -111.117 2025.0 19730601 19900930 726766 99999 MONIDA US MT 44.567 -112.31700000000001 2068.0 19430313 19920323 726770 24033 BILLINGS LOGAN INTERNATIONAL AIRPORT US MT KBIL 45.806999999999995 -108.542 1091.5 19350501 20200625 726774 99999 HAMILTON/RAVALLI CO US MT 46.25 -114.15 1110.0 19880905 20030428 726775 99999 HARLOWTON US MT 46.43 -109.83 1268.0 19730101 20051101 726776 24036 LEWISTOWN MUNICIPAL ARPT US MT KLWT 47.049 -109.458 1263.4 19420401 20200625 726777 94055 BAKER MUNICIPAL AIRPORT US MT KBHK 46.358000000000004 -104.25 905.6 20060101 20200625 726777 99999 BAKER MUNI US MT KBHK 46.35 -104.26700000000001 906.0 19980514 20051231 726785 24135 BERT MOONEY US MT KBTM 45.965 -112.501 1686.5 19770301 20100801 726790 99999 US 19730101 19760305 726791 24135 BUTTE SILVER BOW CO ARPT US MT KBTM 45.965 -112.501 1686.5 19760305 19770227 726795 24161 WHITEHALL US MT HIA 45.867 -111.96700000000001 1303.9 19730101 19780101 726796 24138 DILLON AIRPORT US MT KDLN 45.258 -112.554 1591.7 19730101 20100801 726797 24132 GALLATIN FIELD AIRPORT US MT KBZN 45.788000000000004 -111.161 1349.4 19730101 20200625 726798 24150 MISSION FIELD AIRPORT US MT KLVM 45.698 -110.441 1415.2 19730101 20200625 726799 99999 DILLON SAWRS US MT 45.25 -112.55 1537.0 19730701 19740507 726809 99999 BOISE NEXRAD US ID 43.5 -116.23299999999999 958.0 19990416 20010710 726810 24131 BOISE AIR TERMINAL/GOWEN FD AIRPORT US ID KBOI 43.567 -116.241 857.7 19310101 20200625 726813 94195 CALDWELL INDUSTRIAL ARPT US ID KEUL 43.65 -116.633 740.4 20060101 20200625 726813 99999 CALDWELL (AWOS) US ID KEUL 43.633 -116.633 740.0 19920409 20051231 726815 24106 MOUNTAIN HOME AFB AIRPORT US ID KMUO 43.05 -115.867 913.2 19320101 20200625 726815 99999 MOUNTAIN HOME AFB US ID KMUO 43.05 -115.867 913.0 20000101 20041231 726816 04110 JEROME COUNTY AIRPORT US ID KJER 42.727 -114.456 1233.8 20060101 20200625 726816 99999 JEROME CO US ID KJER 42.727 -114.45700000000001 1235.0 19990114 20051231 726817 24154 MULLAN PASS US ID KMLP 47.457 -115.645 1837.3 19960702 20200625 726817 99999 MULLAN PASS VOR US ID KMLP 47.45 -115.667 1829.0 20000101 20031231 726818 94194 REXBURG-MADISON COUNTY APT US ID KRXE 43.832 -111.80799999999999 1481.9 19990102 20200625 726824 04112 STANLEY RANGER STATION US ID KSNT 44.17100000000001 -114.927 1979.7 19990102 20200625 726830 94185 BURNS MUNICIPAL AIRPORT US OR KBNO 43.595 -118.956 1261.9 19730101 20200625 726830 99999 BURNS MUNI (AMOS) US OR KBNO 43.583 -118.95 1271.0 19810101 19901231 726834 99999 CHETCO RIVER COAST GUARD STATION US OR 42.15 -124.27 6.0 19771108 19910105 726835 24230 ROBERTS FLD US OR KRDM 44.256 -121.139 940.0 19420101 20100801 726836 04201 SCAPPOOSE INDUS AIRPK ARPT US OR KSPB 45.773 -122.861 16.8 20060101 20200625 726836 99999 SCAPPOOSE INDUSTRIAL US OR KSPB 45.773 -122.867 18.0 19780711 20051231 726837 24162 ONTARIO MUNICIPAL AIRPORT US OR KONO 44.021 -117.01299999999999 668.4 19730101 20200625 726837 99999 ONTARIA MUNI US OR KONO 44.016999999999996 -117.01700000000001 668.0 20000101 20031231 726838 94185 BURNS MUNICIPAL ARPT US OR KBNO 43.595 -118.956 1271.0 19801231 19901231 726839 94196 JOHN DAY STATE ARPT US OR K5J0 44.403999999999996 -118.963 1126.8 20060102 20061122 726839 99999 JOHN DAY STATE ARPT US OR 44.4 -118.96700000000001 1127.0 19900517 19950716 726860 99999 US 19730101 19760304 726861 99999 SALMON US ID SMN 45.117 -113.883 1232.0 19760305 19770225 726865 24196 LEMHI COUNTY AIRPORT US ID KSMN 45.117 -113.883 1232.6 20060101 20200625 726865 99999 LEMHI CO US ID KSMN 45.117 -113.883 1232.0 19770301 20051231 726866 99999 SALMON US ID 45.18 -113.9 1210.0 19810906 19971231 726870 99999 US 19730101 19760305 726871 99999 GRANGEVILLE & US ID 45.95 -116.133 1009.0 19760305 19900219 726873 00452 IDAHO COUNTY AIRPORT US ID KGIC 45.943000000000005 -116.12299999999999 1010.1 20110325 20200625 726873 99999 IDAHO COUNTY AIRPORT US ID KGIC 45.943000000000005 -116.12299999999999 1010.1 19900322 20180515 726874 99999 ROME AUTOMATIC METEOROLOGICAL OB US 42.9 -117.65 1162.0 19810909 19980427 726875 94107 ROME STATE AIRPORT US OR KREO 42.591 -117.86399999999999 1234.4 19980302 20200625 726875 99999 ROME STATE US OR KREO 42.583 -117.883 1235.0 20000101 20031231 726876 00387 GRANT COUNTY REGIONAL AIRPORT OGILVIE FIELD US OR KGCD 44.4 -118.96700000000001 1127.2 20050103 20200625 726876 99999 GRANT RGNL OGILVIE FLD US OR KGCD 44.4 -118.96700000000001 1126.8 19990114 20180322 726880 24155 EASTERN OR REGIONAL AT PENDLETON AP US OR KPDT 45.698 -118.855 452.9 19420101 20200625 726881 94273 MC MINNVILLE MUNICIPAL APT US OR KMMV 45.195 -123.134 48.5 20060101 20200625 726881 99999 MC MINNVILLE MUNI US OR KMMV 45.183 -123.133 50.0 19970201 20051231 726883 04113 HERMISTON MUNICIPAL ARPT US OR KHRI 45.826 -119.26100000000001 195.4 20060101 20200625 726883 99999 HERMISTON MUNI US OR KHRI 45.828 -119.259 196.0 19980514 20051231 726884 24148 LA GRANDE/UNION COUNTY APT US OR KLGD 45.283 -118.0 826.9 19880506 20200625 726884 99999 LA GRANDE UNION CO US OR KLGD 45.283 -118.0 828.0 20000101 20031231 726885 24152 MEACHAM US OR KMEH 45.511 -118.425 1134.8 19730101 20200625 726886 24130 BAKER CITY MUNICIPAL ARPT US OR KBKE 44.843 -117.809 1024.4 19730101 20200625 726887 99999 SUNRIVER US OR KS21 43.876000000000005 -121.45299999999999 1269.2 19800514 20200624 726901 24231 ROSEBURG US OR KRBG 43.239 -123.355 155.1 19730101 19800430 726904 24231 ROSEBURG REGIONAL AIRPORT US OR KRBG 43.239 -123.355 160.0 19800514 20200625 726904 99999 ROSEBURG RGNL US OR KRBG 43.233000000000004 -123.35 161.0 20000101 20031231 726910 99999 US 19730101 19760305 726911 99999 US 19760305 19770213 726915 99999 COOS BAY COAST GUARD STATION US OR 43.35 -124.33 23.0 19750911 19870805 726916 99999 UMPQUA RIVER COAST GUARD STATION US OR 43.68 -124.17 41.0 19750813 19910105 726917 24284 NORTH BEND MUNICIPAL ARPT US OR KOTH 43.413000000000004 -124.244 5.2 19770101 20200625 726917 99999 NORTH BEND MUNI US OR KOTH 43.417 -124.23299999999999 5.0 20000101 20031231 726920 24230 ROBERTS FIELD AIRPORT US OR KRDM 44.256 -121.139 927.5 20050101 20200625 726930 24221 MAHLON SWEET FIELD AIRPORT US OR KEUG 44.128 -123.221 107.6 19730101 20200625 726940 24232 MCNARY FIELD AIRPORT US OR KSLE 44.905 -123.001 62.5 19730101 20200625 726945 24202 CORVALLIS MUNICIPAL APRT US OR KCVO 44.5 -123.28299999999999 76.2 20060101 20200625 726945 99999 CORVALLIS MUNI US OR KCVO 44.483000000000004 -123.28299999999999 75.0 19430421 20051231 726950 24285 NEWPORT MUNICIPAL AIRPORT US OR KONP 44.583 -124.05 37.2 20110301 20200625 726950 99999 NEWPORT MUNI US OR KONP 44.58 -124.05799999999999 49.0 19730101 20110228 726951 99999 NEWPORT US OR JNW 44.633 -124.05 48.0 19760305 19770227 726954 99999 NEWPORT US OR 44.583 -124.06700000000001 48.0 19901022 20011231 726955 99999 SIUSLAW RIVER COAST GUARD STATIO US 44.0 -124.12 12.0 19750916 19910105 726956 99999 YAQUINA BAY COAST GUARD STATION US OR 44.62 -124.05 1.0 19750916 19910105 726957 99999 PACIFIC CITY STATE US OR 45.2 -123.96700000000001 2.0 19901023 19921118 726958 24285 NEWPORT MUNICIPAL US OR KONP 44.583 -124.05 48.8 19770301 20110301 726958 99999 NEWPORT MUNICIPAL US OR 44.583 -124.05 48.0 20000101 20031231 726959 94281 AURORA STATE AIRPORT US OR KUAO 45.248999999999995 -122.76899999999999 59.7 20060101 20200625 726959 99999 AURORA STATE US OR KUAO 45.25 -122.76700000000001 61.0 19801015 20051231 726963 99999 TILLAMOOK US OR S47 45.417 -123.81700000000001 11.0 19920828 19950607 726980 24229 PORTLAND INTERNATIONAL AIRPORT US OR KPDX 45.596000000000004 -122.609 5.8 19360501 20200625 726985 24242 PORTLAND-TROUTDALE AIRPORT US OR KTTD 45.551 -122.40899999999999 8.8 20060101 20200625 726985 99999 PORTLAND TROUTDALE US OR KTTD 45.55 -122.4 12.0 19480101 20051231 726986 94261 PORTLAND-HILLSBORO AIRPORT US OR KHIO 45.541000000000004 -122.949 62.2 20060101 20200625 726986 99999 PORTLAND/HILLSBORO US OR KHIO 45.533 -122.95 62.0 19730101 20051231 726987 94204 CASCADE LOCKS STATE AIRPORT US OR KCZK 45.683 -121.883 46.0 20060101 20131001 726987 99999 CASCADE LOCKS STATE US OR KCZK 45.667 -121.883 46.0 19730101 20051231 726988 24219 MUNICIPAL AIRPORT US WA KDLS 45.619 -121.166 71.6 19730101 20200625 726989 99999 TILLAMOOK BAY COAST GUARD STATIO US 45.57 -123.92 15.0 19750911 19901117 727000 99999 FREDERICTON AIRPORT CA 45.867 -66.533 20.0 19730101 19770702 727010 99999 GAGETOWN (CAN-MIL) CA 45.833 -66.433 51.0 19750602 19770630 727020 99999 SUMMERSIDE(CAN-MIL) CA 46.433 -63.833 24.0 19730101 19770727 727031 99999 HOULTON INTL ARPT & US ME 46.133 -67.783 150.0 19730101 19900219 727033 14609 INTERNATIONAL AIRPORT US ME KHUL 46.119 -67.793 145.1 20000101 20200626 727033 99999 HOULTON INTL US ME KHUL 46.117 -67.8 149.0 19420617 19991231 727050 99999 MONCTON AIRPORT CA 46.117 -64.683 71.0 19730101 19770712 727060 99999 CHARLOTTETOWN ARPT CA 46.283 -63.133 55.0 19730101 19770703 727070 99999 SYDNEY AIRPORT CA 46.167 -60.05 62.0 19730101 19770630 727075 99999 INVERNESS (MARS) CA 46.233000000000004 -61.3 41.0 19730101 19770630 727090 99999 ILES DE LA MADELEIN CA 47.383 -61.867 57.0 19730101 19770630 727100 99999 US 19730101 19740730 727110 99999 CHARLO AIRPORT CA 48.0 -66.333 37.0 19730101 19770630 727119 94605 CLAYTON LAKE US ME K40B 46.617 -69.533 314.2 20060101 20200625 727119 99999 CLAYTON LAKE US ME K40B 46.617 -69.517 314.0 19850208 20051231 727120 14607 CARIBOU MUNICIPAL AIRPORT US ME KCAR 46.871 -68.017 190.2 19730101 20200625 727125 14623 LORING AFB/LIMESTON US ME KLIZ 46.95 -67.883 227.0 19500801 19940304 727130 14604 NERN MAINE RGNL ARPT AT PRESQUE IS AIRPORT US ME KPQI 46.683 -68.05 162.8 19411101 20200625 727130 99999 PRESQUE ISLE (AWOS) US ME KPQI 46.683 -68.05 146.0 20000101 20031231 727135 94623 WISCASSET AIRPORT US ME KIWI 43.964 -69.712 20.7 20060101 20200626 727135 99999 WISCASSET US ME KIWI 43.961000000000006 -69.71300000000001 21.0 19950913 20051231 727140 99999 QUEBEC AIRPORT CA 46.8 -71.383 72.0 19730101 19770630 727145 99999 TROIS RIVIERES CA 46.35 -72.683 60.0 19730101 19770630 727150 99999 RIVIERE DU LOUP & CA 47.8 -69.55 149.0 19730101 19770630 727170 99999 CHATHAM CA 47.016999999999996 -65.45 33.0 19730101 19770630 727180 99999 MONT JOLI AIRPORT CA 48.6 -68.2 52.0 19730101 19770630 727190 99999 MISCOU ISL (MARS) CA 48.016999999999996 -64.5 4.0 19730101 19770630 727200 99999 STE AGATHE DES MONT CA 46.05 -74.283 395.0 19730101 19770630 727220 99999 MANIWAKI CA 46.367 -75.983 168.0 19730101 19770803 727250 99999 VAL DOR CA YVO 48.05 -77.783 337.0 19730101 19770630 727255 99999 ROUYN AIRPORT CA 48.2 -78.833 301.0 19730101 19770630 727260 99999 PARENT (MARS) CA 47.917 -74.617 439.0 19730101 19770728 727270 99999 BAGOTVILLE(CAN-MIL) CA 48.333 -71.0 159.0 19730101 19770630 727280 99999 ROBERVAL AIRPORT CA 48.516999999999996 -72.267 179.0 19730101 19770630 727300 99999 SUDBURY AIRPORT CA 46.617 -80.8 341.0 19730101 19770630 727310 99999 NORTH BAY AIRPORT CA 46.367 -79.417 370.0 19730101 19770630 727320 99999 BRITT CA 45.8 -80.533 192.0 19761117 19770217 727330 99999 GORE BAY AIRPORT CA 45.883 -82.56700000000001 193.0 19730101 19770630 727340 14847 SAULT STE MARIE MUNI/SASN FIELD AP US MI KANJ 46.479 -84.35700000000001 220.1 19730101 20200625 727344 04869 CHIPPEWA COUNTY INTL ARPT US MI KCIU 46.25 -84.46700000000001 243.5 20060101 20200625 727344 99999 CHIPPEWA CO INTL US MI KCIU 46.25 -84.46700000000001 244.0 19780319 20051231 727345 14847 SAULT STE MARIE US MI KANJ 46.479 -84.35700000000001 220.7 19480101 19721231 727345 99999 SAULT STE MARIE US MI 46.483000000000004 -84.367 218.0 19730101 19910908 727346 99999 SAULT STE. MARIE COAST GUARD STA US 46.5 -84.33 176.0 19760926 19960701 727347 14841 PELLSTON REGIONAL ARPT OF EMMET COUNTY ARPT US MI KPLN 45.56399999999999 -84.79299999999999 214.9 19730101 20200625 727348 99999 SAINT IGNACE US MI 45.85 -84.72 176.0 19760926 19960701 727349 99999 WHITEFISH POINT LS US MI 46.766999999999996 -84.95 183.0 19811106 19811106 727350 99999 EARLTON AIRPORT CA 47.7 -79.85 244.0 19730101 19770704 727370 99999 US 19730101 19760331 727375 99999 SAULT STE MARIE & CA 46.483000000000004 -84.5 188.0 19730101 19770630 727376 99999 GRAND MARAIS COAST GUARD STATION US MI 46.67 -85.98 183.0 19760926 19820803 727377 99999 WHITEFISH POINT US MI 46.766999999999996 -84.96700000000001 186.0 19770917 19811020 727380 99999 WAWA AIRPORT CA 47.967 -84.78299999999999 287.0 19730101 19770630 727390 99999 TIMMINS AIRPORT CA 48.567 -81.367 295.0 19730101 19770630 727410 99999 PARK FALLS MUNI US WI KPKF 45.955 -90.42399999999999 457.2 19730101 20010203 727415 04803 RHINELANDER-ONEIDA CO ARPT US WI KRHI 45.631 -89.48200000000001 495.0 20060101 20200625 727415 99999 RHINELANDER ONEIDA US WI KRHI 45.633 -89.46700000000001 495.0 19730101 20051231 727416 99999 DEVILS ISLAND LIGHT STATION US WI 47.08 -90.73 192.0 19760926 19870526 727417 54825 PRESQUE ISLE COUNTY AIRPORT US MI KPZQ 45.407 -83.81299999999999 204.2 20060101 20200626 727417 99999 PRESQUE ISLE CO US MI KPZQ 45.4 -83.81700000000001 204.0 20041230 20051231 727430 94850 MARQUETTE MICHIGAN COUNTY AP (WFO) US MI KMQT 46.531000000000006 -87.54899999999999 431.3 19730101 20200624 727430 99999 MARQUETTE CO. ARPT US MI KMQT 46.533 -87.55 434.0 20040105 20040105 727431 99999 MARQUETTE US MI MQT 46.533 -87.56700000000001 434.0 19850531 19850626 727434 04870 CHARLEVOIX MUNICIPAL ARPT US MI KCVX 45.305 -85.275 196.9 20060101 20200625 727434 99999 CHARLEVOIX MUNI US MI KCVX 45.3 -85.26700000000001 204.0 20020423 20051231 727435 54820 MACKINAC ISLAND AIRPORT US MI KMCD 45.865 -84.637 225.6 20060101 20200625 727435 99999 MACKINACK ISLAND US MI KMCD 45.865 -84.637 226.0 19561008 20051231 727436 04863 ANTRIM COUNTY AIRPORT US MI KACB 44.986000000000004 -85.20299999999999 189.0 20060101 20200625 727436 99999 ANTRIM CO US MI KACB 44.983000000000004 -85.2 190.0 19730101 20051231 727437 94893 FORD AIRPORT US MI KIMT 45.818000000000005 -88.11399999999999 342.0 20060101 20200625 727437 99999 FORD US MI KIMT 45.817 -88.117 360.0 19730101 20051231 727438 99999 MARQUETTE COAST GUARD LIGHT STAT US 46.55 -87.38 203.0 19760926 19960701 727439 99999 MANITOU ISLAND(CGS) US MI 47.417 -87.583 186.0 19760926 19771209 727440 14858 HOUGHTON COUNTY MEMO ARPT US MI KCMX 47.169 -88.48899999999999 333.8 19730101 20200625 727444 04979 RICHARD B HELGESON AIRPORT US MN KTWM 47.049 -91.745 329.2 20060101 20200625 727444 99999 RICHARD B HELGESON US MN KTWM 47.05 -91.75 329.0 19920807 20051231 727445 94926 GOGEBIC-IRON COUNTY ARPT US MI KIWD 46.533 -90.133 374.9 20060101 20200626 727445 99999 GOCEBIC IRON CO US MI KIWD 46.527 -90.131 375.0 19730101 20051231 727446 99999 TWO HARBORS(AWOS) US MN 47.1 -91.75 328.0 19760926 19810622 727447 99999 EAGLE HARBOR COAST GUARD LIGHT S US 47.47 -88.17 186.0 19760926 19830324 727448 99999 PORTAGE COAST GUARD STATION US MI 47.23 -88.63 190.0 19760926 19910303 727449 04954 MOOSE LAKE CARLTON CO ARPT US MN KMZH 46.419 -92.804 328.0 20060101 20200625 727449 99999 MOOSE LAKE CARLTON C US MN KMZH 46.417 -92.8 328.0 19760926 20051231 727450 14913 DULUTH INTERNATIONAL AIRPORT US MN KDLH 46.836999999999996 -92.18299999999999 436.8 19480101 20200625 727452 04912 CRKSTN MUNI KRKWOD FLD APT US MN KCKN 47.842 -96.62100000000001 274.0 20060101 20200625 727452 99999 CROOKSTON MUNI KIRKW US MN KCKN 47.85 -96.617 274.0 19850920 20051231 727453 94967 PK RPDS MUNI-KONSHOK FD AP US MN KPKD 46.901 -95.068 437.1 19900111 20200626 727454 04911 GRAND MARAIS/COOK CO ARPT US MN KCKC 47.838 -90.383 548.0 20060101 20200625 727454 99999 GRAND MARAIS COOK CO US MN KCKC 47.833 -90.383 548.0 19970313 20051231 727455 94931 CHISHOLM-HIBBING AIRPORT US MN KHIB 47.386 -92.839 412.1 19730101 20200625 727456 04919 SKY HARBOR AIRPORT US MN KDYT 46.722 -92.04299999999999 185.9 20060101 20200625 727456 99999 SKY HARBOR US MN KDYT 46.722 -92.04299999999999 186.0 19760926 20051231 727457 94962 DETRT LKS-WETHING FLD ARPT US MN KDTL 46.833 -95.883 425.8 20060101 20200625 727457 99999 DETROIT LAKES WETHIN US MN KDTL 46.825 -95.88600000000001 426.0 19780203 20051231 727458 94919 GRAND RAPIDS/ITASCA CO-G NEWSTROM FIELD ARPT US MN KGPZ 47.211000000000006 -93.51 413.0 20060101 20200625 727458 99999 GRAND RAPIDS ITASCA US MN KGPZ 47.217 -93.51700000000001 413.0 19831103 20051231 727459 94964 ELY MUNICIPAL AIRPORT US MN KELO 47.817 -91.833 443.8 20060101 20200625 727459 99999 ELY MUNI US MN KELO 47.817 -91.833 443.0 19831103 20051231 727466 04918 MDSON-LAC QUI PARLE CO APT US MN KDXX 44.986000000000004 -96.04299999999999 329.8 20060101 20200625 727466 99999 LAC QUI PARLE CO US MN KDXX 44.986000000000004 -96.178 330.0 19990114 20051231 727467 04926 FLAG ISLAND US MN KFGN 49.318000000000005 -94.90299999999999 329.2 20060101 20200625 727467 99999 FLAG ISLAND US MN KFGN 49.317 -94.9 329.0 19990114 20051231 727468 04928 BIGFORK MUNICIPAL AIRPORT US MN KFOZ 47.783 -93.65 411.2 20060101 20200625 727468 99999 BIGFORK US MN KFOZ 47.783 -93.65 411.0 19990114 20051231 727469 94992 GRAND MARAIS US MN KGNA 47.747 -90.344 185.9 20060101 20200625 727469 99999 GRAND MARIAS US MN KGNA 47.833 -90.383 186.0 19990114 20051231 727470 14918 FALLS INTERNATIONAL AIRPORT US MN KINL 48.56100000000001 -93.398 360.6 19730101 20200625 727473 94977 SCOTTS SPB US MN KCDD 48.266999999999996 -92.48299999999999 341.1 20060101 20200625 727473 99999 CRANE LAKE SEAPLANE US MN KCDD 48.266999999999996 -92.48299999999999 341.0 19910108 20051231 727474 04923 EVELETH-VIRGINIA MUNI ARPT US MN KEVM 47.424 -92.49799999999999 420.3 20060101 20200625 727474 99999 EVELETH VIRGINIA MUN US MN KEVM 47.425 -92.49799999999999 420.0 19920804 20051231 727475 04940 MORA MUNICIPAL AIRPORT US MN KJMR 45.886 -93.272 308.5 20060101 20200625 727475 99999 MORA MUNI US MN KJMR 45.886 -93.272 308.0 19760820 20051231 727476 94961 BAUDETTE INTERNATIONAL APT US MN KBDE 48.717 -94.6 329.8 19831104 20200625 727477 04970 ROSEAU MUNI/RUDY BILLBERG FLD ARPT US MN KROX 48.856 -95.697 322.8 20060101 20200625 727477 99999 ROSEAU MUNI BILLBERG US MN KROX 48.85 -95.7 323.0 19900924 20051231 727478 04934 HALLOCK MUNICIPAL AIRPORT US MN KHCO 48.753 -96.943 249.6 20060101 20200625 727478 99999 HALLOCK MUNI US MN KHCO 48.75 -96.95 250.0 19920807 20051231 727480 99999 ATIKOKAN (AUT) & CA 48.75 -91.617 391.0 19730101 19770630 727486 04983 WASKISH MUNICIPAL AIRPORT US MN KVWU 48.153999999999996 -94.51700000000001 360.0 20060101 20200625 727486 99999 WASKISH MUNI AIRPT US MN KVWU 48.15 -94.51700000000001 360.0 20010811 20051231 727490 99999 THUNDER BAY AIRPORT CA 48.367 -89.31700000000001 199.0 19730101 19770630 727495 99999 ROYAL ISLAND CA 49.033 -90.46700000000001 489.0 19730101 19770630 727497 04984 LONGVILLE MUNICIPAL ARPT US MN KXVG 46.99 -94.204 406.6 20060101 20200626 727497 99999 LONGVILLE MUNI US MN KXVG 46.983000000000004 -94.2 407.0 20010811 20051231 727500 99999 PEQUOT LAKE MN US 46.6 -94.31700000000001 390.0 19760901 20040727 727503 04909 CAMBRIDGE MUNICIPAL ARPT US MN KCBG 45.559 -93.265 288.0 20060101 20200625 727503 99999 CAMBRIDGE MUNI US MN KCBG 45.55 -93.26700000000001 288.0 19920807 20051231 727504 94999 ATKN MUNI-S KURTZ FLD ARPT US MN KAIT 46.548 -93.677 367.0 20060101 20200626 727504 99999 AITKIN MUNI KURTZ FL US MN KAIT 46.55 -93.68299999999999 367.0 19920807 20051231 727505 04929 FOSSTON MUNICIPAL AIRPORT US MN KFSE 47.593 -95.775 389.2 20060101 20200625 727505 99999 FOSSTON MUNI US MN KFSE 47.6 -95.76700000000001 389.0 19920807 20051231 727506 04952 WINDOM MUNICIPAL AIRPORT US MN KMWM 43.913000000000004 -95.109 429.8 20060101 20200625 727506 99999 WINDOM MUNI US MN KMWM 43.917 -95.117 430.0 19990114 20051231 727507 54904 BENSON MUNICIPAL AIRPORT US MN KBBB 45.332 -95.65100000000001 316.7 20060101 20200625 727507 99999 BENSON MUNI US MN KBBB 45.333 -95.65 317.0 19940718 20051231 727508 54915 PINE RIVER REGIONAL AIRPORT US MN KPWC 46.725 -94.382 394.7 20060101 20200626 727508 99999 PINE RIVER RGNL US MN KPWC 46.717 -94.383 395.0 19990114 20051231 727511 99999 WALDRON FLD NOLF US TX KNWL 27.635 -97.31200000000001 7.6 20180821 20180821 727514 54910 STAPLES MUNICIPAL AIRPORT US MN KSAZ 46.381 -94.806 392.3 20060101 20200625 727514 99999 STAPLES MUNI US MN KSAZ 46.383 -94.8 392.0 19990114 20051231 727515 04982 ORTHONVILLE MUNI-MARTINSON FIELD AIRPORT US MN KVVV 45.306000000000004 -96.42399999999999 335.3 20060101 20200625 727515 99999 ORTONVILLE MUNI MART US MN KVVV 45.3 -96.417 335.0 19990114 20051231 727517 04932 GLENCOE MUNICIPAL AIRPORT US MN KGYL 44.756 -94.081 302.4 20060101 20200625 727517 99999 GLENCOE MUNI US MN KGYL 44.75 -94.083 302.0 20010811 20051231 727530 14914 HECTOR INTERNATIONAL AIRPORT US ND KFAR 46.925 -96.811 274.3 19480101 20200625 727533 04922 WHEATON MUNICIPAL AIRPORT US MN KETH 45.78 -96.545 312.4 20060101 20200625 727533 99999 WHEATON MUNI US MN KETH 45.78 -96.544 312.0 19920807 20051231 727534 99999 LIDGERWOOD REMOTE AUTOMATIC METE US 46.1 -97.15 351.0 19790322 20010827 727535 14919 JAMESTOWN REGIONAL AIRPORT US ND KJMS 46.926 -98.669 455.4 19730101 20200625 727550 14958 BEMIDJI-BELTRAMI CO ARPT US MN KBJI 47.5 -94.93299999999999 424.3 20060101 20200625 727550 99999 BEMIDJI MUNICIPAL US MN KBJI 47.5 -94.93299999999999 420.0 19730101 20051231 727554 99999 GRAND MARAIS US MN 47.75 -90.34 185.0 19781205 20101223 727555 94956 THIEF RIVER FALLS RGNL APT US MN KTVF 48.067 -96.18299999999999 339.9 20060101 20200625 727555 99999 THIEF RIVER FALLS RG US MN KTVF 48.066 -96.185 340.0 19730101 20051231 727556 04905 SILVER BAY MUNICIPAL ARPT US MN KBFW 47.248999999999995 -91.416 331.9 20060101 20200625 727556 99999 SILVER BAY MUNI US MN KBFW 47.25 -91.417 332.0 19920807 20051231 727560 99999 WARROAD MN US 48.933 -95.35 328.0 19780310 19930909 727564 99999 WARROAD INTL SWEDE CARLSON FIELD US MN KRAD 48.941 -95.348 336.0 19920807 19951115 727566 04902 AUSTIN MUNICIPAL AIRPORT US MN KAUM 43.665 -92.93299999999999 375.8 20060101 20200625 727566 99999 AUSTIN MUNI US MN KAUM 43.667 -92.93299999999999 376.0 19920807 20051231 727570 14916 GRAND FORKS INTERNATIONAL AIRPORT US ND KGFK 47.943000000000005 -97.184 256.6 20100801 20200625 727570 99999 GRAND FORKS INTL US ND KGFK 47.933 -97.167 257.0 19480101 20100731 727572 99999 DEVILS LAKE(AWOS) US ND 48.117 -98.9 443.0 19730101 19900109 727573 94928 DEVILS LAKE MUNI AIRPORT US ND KDVL 48.117 -98.9 439.2 20060101 20200625 727573 99999 DEVILS LAKE MUNI US ND KDVL 48.114 -98.90899999999999 443.0 19900111 20051231 727575 94925 GRAND FORKS AFB AIRPORT US ND KRDR 47.967 -97.4 278.3 19590303 20200625 727575 99999 GRAND FORKS AFB US ND KRDR 47.95 -97.4 278.0 20000101 20041231 727576 14916 GRAND FORKS INTL US ND KGFK 47.943000000000005 -97.184 253.6 19730101 20100801 727577 99999 GRAND FORKS NEXRAD US ND MVX 47.533 -97.333 329.0 19741118 19750926 727580 99999 DEVILS LAKE US ND 48.1 -98.87 439.0 19770827 19920518 727584 94038 HETTINGER MUNICIPAL ARPT US ND KHEI 46.013999999999996 -102.655 824.5 20060101 20200625 727584 99999 HETTINGER MUNI US ND KHEI 46.016999999999996 -102.65 824.0 19990114 20051231 727630 24012 DICKINSON THEODORE ROOSEVELT RGNL ARPT US ND KDIK 46.799 -102.79700000000001 786.4 20050101 20200625 727640 24011 BISMARCK MUNICIPAL AIRPORT US ND KBIS 46.783 -100.757 503.2 19360701 20200625 727645 24012 DICKINSON MUNI US ND KDIK 46.799 -102.79700000000001 787.3 19730101 20100801 727650 99999 ROSEGLEN US ND 47.75 -101.83 624.0 19770828 20040907 727670 94014 SLOULIN FIELD INTERNATIONAL AIRPORT US ND KISN 48.174 -103.637 579.7 19730101 20200107 727675 94011 MINOT AFB AIRPORT US ND KMIB 48.417 -101.35 508.1 19591001 20200626 727675 99999 MINOT AFB US ND KMIB 48.417 -101.35 508.0 20000101 20041231 727676 24013 MINOT INTERNATIONAL ARPT US ND KMOT 48.255 -101.273 507.5 19730101 20200626 727677 94041 GARRISON US ND KN60 47.646 -101.439 582.8 20060101 20200625 727677 99999 GARRISON US ND KN60 47.65 -101.44 582.0 19760820 20051231 727680 94008 WOKAL FIELD/GLASGOW INTL AIRPORT US MT KGGW 48.214 -106.62100000000001 696.5 19421210 20200625 727684 94051 JORDAN AIRPORT US MT KJDN 47.326 -106.948 811.4 20060101 20200625 727684 99999 JORDAN US MT KJDN 47.32899999999999 -106.95299999999999 811.0 19790322 20051231 727685 99999 GLASGOW INDUSTRIAL US MT 07MT 48.42100000000001 -106.52799999999999 841.9 19730702 19760528 727686 94017 L M CLAYTON AIRPORT US MT KOLF 48.093999999999994 -105.574 605.3 20060101 20200625 727686 99999 L M CLAYTON US MT KOLF 48.1 -105.583 605.0 19730419 20051231 727687 94028 SIDNEY-RICHLAND MUNI ARPT US MT KSDY 47.717 -104.18299999999999 603.5 20060101 20200625 727687 99999 SIDNEY-RICHLAND MUNI US MT KSDY 47.707 -104.193 605.0 19730104 20051231 727690 24137 CUT BANK MUNICIPAL AIRPORT US MT KCTB 48.603 -112.375 1169.8 20050101 20200625 727700 24138 DILLON AIRPORT US MT KDLN 45.258 -112.554 1585.0 20050101 20200625 727720 24144 HELENA REGIONAL AIRPORT US MT KHLN 46.606 -111.964 1166.8 19730101 20200625 727725 99999 ELLISTON US MT 46.567 -112.43299999999999 1547.0 19730102 19770701 727730 24153 MISSOULA INTERNATIONAL AIRPORT US MT KMSO 46.92100000000001 -114.09299999999999 972.9 19730101 20200625 727735 24139 DRUMMOND US MT K3DU 46.638000000000005 -113.176 0.0 19730101 20120930 727735 99999 DRUMMOND US MT K3DU 46.67 -113.15 1202.0 20000101 20041231 727740 24135 BERT MOONEY AIRPORT US MT KBTM 45.965 -112.501 1678.2 20050101 20200625 727750 24143 GREAT FALLS INTERNATIONAL AIRPORT US MT KGTF 47.473 -111.382 1116.8 19730101 20200625 727755 24112 MALMSTROM AFHP HELIPORT US MT KGFA 47.516999999999996 -111.18299999999999 1058.3 19421201 20200625 727755 99999 MALMSTROM AFHP US MT KGFA 47.5 -111.18299999999999 1058.0 20020110 20041231 727760 99999 GREAT FALLS US MT 47.45 -111.383 1130.5 19940921 20200624 727770 94012 HAVRE CITY-COUNTY AIRPORT US MT KHVR 48.543 -109.76299999999999 787.9 19730101 20200625 727790 24146 GLACIER PARK INTERNATIONAL AIRPORT US MT KGPI 48.303999999999995 -114.264 901.3 19730101 20200625 727795 99999 THOMPSON FALLS US MT 47.6 -115.37 725.0 19730101 20021031 727796 24137 CUT BANK MUNI US MT KCTB 48.603 -112.375 1169.8 19421201 20100801 727810 24243 YAKIMA AIR TERMINAL/MCALSR FIELD AP US WA KYKM 46.568000000000005 -120.54299999999999 324.3 19730101 20200625 727813 99999 VAGABOND AAF / YAKIMA TRAINING CENTER WASHINGTON USA US WA KFCT 46.667 -120.454 417.6 20030617 20081110 727815 24237 STAMPASS PASS FLTWO US WA KSMP 47.277 -121.337 1206.7 19730101 20200625 727825 94239 PANGBORN MEMORIAL AIRPORT US WA KEAT 47.398 -120.20100000000001 374.6 20000101 20200625 727825 99999 PANGBORN MEM US WA KEAT 47.398999999999994 -120.20700000000001 381.0 19730101 19991231 727826 24141 EPHRATA MUNICIPAL US WA KEPH 47.308 -119.515 383.7 19420101 20100801 727827 24110 GRANT COUNTY INTL AIRPORT US WA KMWH 47.208 -119.319 364.5 19430610 20200625 727827 99999 MOSES LAKE/GRANT CO US WA KMWH 47.2 -119.31700000000001 361.0 20000101 20031231 727830 24149 LEWISTON-NEZ PERCE COUNTY AIRPORT US ID KLWS 46.375 -117.016 437.7 19730101 20200625 727833 04114 CHALLIS (AMOS) US ID KLLJ 44.523 -114.215 1536.2 19990102 20091231 727833 99999 CHALLIS CHALLIS AIRPORT US ID 44.52 -114.22 1534.0 19810912 19981008 727834 24136 COEUR D'ALENE AIR TERM APT US ID KCOE 47.766999999999996 -116.81700000000001 703.2 20060101 20200625 727834 99999 COEUR D ALENE AIR TE US ID KCOE 47.766999999999996 -116.81700000000001 707.0 19480101 20051231 727836 99999 MULLAN AVIATION WEATHER REPORTIN US 47.47 -115.8 1011.0 19730101 19960630 727840 94187 HANFORD AIRPORT US WA KHMS 46.567 -119.6 223.1 20060101 20130326 727840 99999 HANFORD US WA KHMS 46.567 -119.6 223.0 19730101 20051231 727845 24163 TRI-CITIES AIRPORT US WA KPSC 46.266999999999996 -119.117 124.1 19730101 20200625 727845 99999 TRI CITIES US WA KPSC 46.266999999999996 -119.117 124.0 20000101 20031231 727846 24160 WALLA WALLA REGIONAL ARPT US WA KALW 46.095 -118.287 355.4 19410901 20200625 727850 24157 SPOKANE INTERNATIONAL AIRPORT US WA KGEG 47.622 -117.52799999999999 717.2 19410811 20200625 727854 94119 DEER PARK ARPT US WA KDEW 47.974 -117.428 672.4 20060101 20100801 727854 99999 DEER PARK ARPT US WA 47.967 -117.417 672.0 20010811 20041231 727855 24114 FAIRCHILD AIR FORCE BASE US WA KSKA 47.633 -117.65 750.1 19400401 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48.141000000000005 -123.414 4.0 20060619 20200624 742015 99999 SMITH ISLAND COAST GUARD LIGHT S US 48.32 -122.85 1.0 19750911 19860320 742016 99999 FRIDAY HARBOR US WA S19 48.5 -123.0 37.0 19760130 19880812 742060 24207 MCCHORD AFB AIRPORT US WA KTCM 47.15 -122.48299999999999 98.2 19400722 20200625 742060 99999 MC CHORD FIELD US WA KTCM 47.133 -122.48299999999999 98.0 20000101 20041231 742065 99999 POINT NO POINT COAST GUARD STATI US 47.92 -122.53 1.0 19750911 19950326 742066 99999 MULKITEO (CGS) US WA 47.95 -122.3 1.0 19781102 19781102 742070 24201 GRAY AAF US WA KGRF 47.083 -122.583 92.0 19390401 20101231 742070 99999 FORT LEWIS/GRAY AAF US WA 47.133 -122.6 87.0 20000101 20040908 742071 24201 GRAY AFF AIRPORT US WA KGRF 47.083 -122.583 91.4 20110101 20200625 742071 99999 GRAY AAF US WA 47.083 -122.583 92.0 20040713 20101231 742075 99999 POINT ROBINSON COAST GUARD LIGHT US WA 47.38 -122.37 0.0 19750911 19950326 742076 99999 WEST POINT COAST GUARD LIGHT STA US 47.67 -122.43 4.0 19750911 19860320 742077 03763 ROCKINGHAM COUNTY NC SHILOH AIRPORT US NC KSIF 36.437 -79.851 211.2 20061024 20200626 742078 64773 PLYMOUTH MUNICIPAL AIRPORT US NH K1P1 43.778999999999996 -71.75399999999999 153.9 20061012 20200626 742079 63876 MASON COUNTY AIRPORT US WV K3I2 38.915 -82.09899999999999 196.0 20061012 20200625 742300 24037 FRANK WILEY FIELD AIRPORT US MT KMLS 46.427 -105.883 799.8 19830531 20200625 742513 53937 EAKER FIELD AIRPORT US OK KDUA 33.942 -96.39399999999999 212.8 20060101 20200625 742513 99999 EAKER FLD US OK KDUA 33.942 -96.395 213.0 20020430 20051231 743312 53925 J.L. 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US IN KRZL 40.817 -87.05 212.0 20180102 20180103 744661 99999 EFFINGHAM CO MEM US IL 39.07 -88.53399999999999 178.9 20020603 20130430 744662 63817 TAYLORVILLE MINICIPAL ARPT US IL KTAZ 39.534 -89.32799999999999 189.6 20060101 20200625 744662 99999 TAYLORVILLE MUNI US IL KTAZ 39.533 -89.333 190.0 20020603 20051231 744663 53950 PITTSFIELD-PENSTON MUNI AP US IL KPPQ 39.639 -90.77799999999999 216.4 20060101 20200625 744663 99999 PITTSFIELD PENSTONE US IL KPPQ 39.633 -90.78299999999999 216.0 20020603 20051231 744665 04838 PALWAUKEE MUNICIPAL ARPT US IL KPWK 42.121 -87.905 193.9 20060101 20200625 744665 99999 PALWAUKEE MUNI US IL KPWK 42.117 -87.9 197.0 19950708 20051231 744666 53944 JACKSONVILLE MUNICIPAL AIRPORT US IL KIJX 39.78 -90.238 190.2 20060101 20200625 744666 99999 JACKSONVILLE MUNI US IL KIJX 39.766999999999996 -90.23299999999999 190.0 20020603 20051231 744667 99999 RAY S MILLER AAF / CAMP RIPLEY MINNESOTA USA US MN KRYM 46.091 -94.361 350.5 20120713 20200624 744672 04862 LOGAN COUNTY AIRPORT US IL KAAA 40.158 -89.335 182.0 20060101 20200625 744672 99999 LOGAN CO US IL KAAA 40.167 -89.333 182.0 20020603 20051231 744680 99999 JEFFERSON PROVING GROUND MADISON US IN 38.833 -85.417 265.0 19920221 19950531 744714 99999 SMITHVILLE/WOOSTER US OH KSLW 40.883 -81.833 357.0 19850522 19940630 744830 99999 WILMINGTON VT. US 42.883 -72.883 482.0 19730101 19840529 744840 99999 WEST DOVER VT. US 42.933 -72.867 595.0 19730102 19770114 744859 99999 FREEPORT US NY 40.65 -73.583 9.0 19850522 19850531 744860 94789 JOHN F KENNEDY INTERNATIONAL AIRPORT US NY KJFK 40.639 -73.764 3.4 19730101 20200625 744864 54787 REPUBLIC AIRPORT US NY KFRG 40.734 -73.417 24.7 20060101 20200625 744864 99999 REPUBLIC US NY KFRG 40.717 -73.4 25.0 19430412 20051231 744865 14719 FRANCIS S GABRESKI AP US NY KFOK 40.844 -72.632 20.4 19430718 20200625 744865 99999 WESTHAMPTON BEACH US NY KFOK 40.85 -72.617 20.0 20000101 20031231 744900 14702 BEDFORD HANSCOM FIELD US MA KBED 42.47 -71.289 40.5 19430205 19921231 744900 99999 BEDFORD/HANSCOM AFB US MA 42.467 -71.283 41.0 19930101 19990204 744904 94723 LAWRENCE MUNICIPAL AIRPORT US MA KLWM 42.717 -71.124 45.4 20060101 20200625 744904 99999 LAWRENCE MUNI US MA KLWM 42.717 -71.117 45.0 19790122 20051231 744905 04779 FORT DEVENS/AYER US MA KAYE 42.567 -71.6 82.0 19601021 19930201 744907 14753 EAST MILTON US MA KMQE 42.211999999999996 -71.11399999999999 193.5 20000101 20200624 744910 14703 WESTOVER AFB/METROPOLITAN AIRPORT US MA KCEF 42.2 -72.533 73.5 19410401 20200625 744910 99999 CHICOPEE FALLS/WEST US MA KCEF 42.2 -72.533 75.0 20000101 20041231 744915 14775 BARNES MUNICIPAL AIRPORT US MA KBAF 42.158 -72.71600000000001 82.6 19730105 20200625 744915 99999 BARNES MUNI US MA KBAF 42.15 -72.717 83.0 20000101 20031231 744916 99999 PITTSFIELD MUNI US MA PSF 42.433 -73.3 364.0 19730122 19900118 744925 99999 CROWS LANDING CALIFORNIA NAAS US CA NRC 37.4 -121.1 50.0 19450301 19460601 744940 99999 CHATHAM US MA KCHH 41.667 -69.967 15.5 19730101 19950321 744975 99999 SHORT BEACH COAST GUARD STATION US NY 40.58 -73.55 1.0 19750915 19881024 744976 99999 NTPD AIR OPS HELIPORT US NY 40.6 -73.9 4.9 19750915 19960510 744989 14747 CHAUTAUQUA CO/DUNKIRK ARPT US NY KDKK 42.493 -79.27199999999999 203.0 19970102 20200625 744989 99999 CHAUTAUQUA CO DUNKIR US NY KDKK 42.493 -79.27199999999999 211.0 20000101 20031231 744994 04741 SCHENECTADY COUNTY AIRPORT US NY KSCH 42.85 -73.95 115.2 19810421 20200625 744994 99999 SCHENECTADY CO US NY KSCH 42.85 -73.917 115.0 20000101 20031231 745000 99999 SHERIDAN CA US 39.0 -121.333 60.0 20020226 20020226 745039 99999 GOLDEN GATE BRIDGE US CA KGGB 37.817 -122.46700000000001 81.0 19850522 19960701 745040 99999 PILAR POINT AFS CA. US 37.5 -122.5 49.0 19990704 19991029 745045 99999 POINT BONITA COAST GUARD LIGHT S US 37.8 -122.52 1.0 19750916 19960701 745046 93242 MADERA MUNICIPAL AIRPORT US CA KMAE 36.988 -120.111 77.1 20060101 20200625 745046 99999 MADERA MUNI US CA KMAE 36.986999999999995 -120.113 77.0 19990114 20051231 745048 93210 OROVILLE MUNICIPAL AIRPORT US CA KOVE 39.49 -121.618 57.9 20060101 20200625 745048 99999 OROVILLE MUNI US CA KOVE 39.483000000000004 -121.617 59.0 19990114 20051231 745054 99999 POINT SUR US CA 36.3 -121.883 34.0 19800227 20020802 745055 99999 POINT PINOS COAST GUARD LIGHT ST US 36.63 -121.93 6.0 19750916 19960701 745056 53120 RAMONA AIRPORT US CA KRNM 33.038000000000004 -116.916 424.6 20060101 20200625 745056 99999 RAMONA US CA KRNM 33.039 -116.915 425.0 19990114 20051231 745057 53130 WHITMAN AIRPORT US CA KWHP 34.259 -118.413 305.7 20060101 20200625 745057 99999 WHITEMAN US CA KWHP 34.266999999999996 -118.417 306.0 19990114 20051231 745058 23277 WATSONVILLE MUNICIPAL ARPT US CA KWVI 36.936 -121.789 48.8 20060101 20200625 745058 99999 WATSONVILLE MUNI US CA KWVI 36.933 -121.78299999999999 50.0 19990114 20051231 745060 23239 ALAMEDA(USN) US CA KNGZ 37.733000000000004 -122.31700000000001 4.0 19730101 19970102 745065 99999 POINT BLUNT COAST GUARD LIGHT ST US 37.85 -122.42 73.0 19750916 19960701 745090 23244 MOFFETT FEDERAL AIRFIELD US CA KNUQ 37.406 -122.04799999999999 11.9 19730101 20200625 745090 99999 MOUNTAIN VIEW /SUNN US CA KNUQ 37.417 -122.05 12.0 20000323 20031226 745095 99999 SANTA CRUZ HARBOR US CA 36.97 -122.0 1.0 19760130 19960701 745096 99999 PIGEON POINT COAST GUARD LIGHT S US 37.18 -122.4 1.0 19430609 19960701 745097 99999 SAN FRANCISCO PBS US CA 37.75 -122.7 5.0 19760130 19960701 745160 23202 TRAVIS AIR FORCE BASE US CA KSUU 38.266999999999996 -121.93299999999999 18.9 19430811 20200625 745160 99999 FAIRFIELD/TRAVIS AF US CA KSUU 38.266999999999996 -121.95 22.0 20000101 20041231 745165 99999 RIO VISTA COAST GUARD LIGHT STAT US 38.15 -121.7 1.0 19750916 19960701 745200 23176 MILFORD MUNICIPAL AP US UT KMLF 38.417 -113.01700000000001 1534.1 19830501 19850531 745201 23176 MILFORD MUNICIPAL AP US UT KMLF 38.417 -113.01700000000001 1534.1 19850601 19890501 745310 93065 USAF ACADEMY AIRSTRIP AIRPORT US CO KAFF 38.967 -104.81700000000001 2003.2 19671127 20200625 745310 99999 AIR FORCE ACADEMY US CO KAFF 38.967 -104.81700000000001 1999.0 20000103 20041230 745430 93978 PRATT INDUSTRIAL AIRPORT US KS KPTT 37.702 -98.74700000000001 595.0 20060101 20200625 745430 99999 PRATT MUNICIPAL US KS KPTT 37.7 -98.75 595.0 19430801 20051231 745431 03998 TRI-CITY AIRPORT US KS KPPF 37.328 -95.50399999999999 264.9 20060101 20200625 745431 99999 TRI CITY US KS KPPF 37.333 -95.5 274.0 19961020 20051231 745700 13840 WRIGHT-PATTERSON AFB AIRPORT US OH KFFO 39.833 -84.05 250.9 19360501 20200625 745700 99999 DAYTON/WRIGHT-PATTE US OH KFFO 39.833 -84.05 251.0 20000101 20041231 745900 99999 BARNEGAT COAST GUARD STATION US NJ 39.77 -74.1 6.0 19760105 19820501 745940 13705 ANDREWS AIR FORCE BASE AIRPORT US MD KADW 38.817 -76.867 86.0 19430619 20200625 745940 99999 ANDREWS AFB/CAMP SP US MD KADW 38.817 -76.85 88.0 20000101 20041231 745944 93784 BALTIMORE DOWNTOWN US MD KDMH 39.281 -76.611 6.1 19990102 20200625 745945 99999 ANNAPOLIS COAST GUARD STATION US MD 38.92 -76.47 8.0 19750916 19830215 745946 93786 OCEAN CITY MUNICIPAL ARTP US MD KOXB 38.308 -75.124 3.7 20060101 20200625 745946 99999 OCEAN CITY MUNI US MD KOXB 38.317 -75.117 3.0 19991208 20051231 745950 99999 OCEAN CITY US MD 38.33 -75.08 4.0 19730101 19960629 745960 99999 FIVE FATHOM (LS) US NJ 38.783 -74.583 5.0 19780614 19780614 745965 13756 CAPE MAY (CGS) US NJ KN91 38.95 -74.883 2.0 19750915 19960127 745966 03726 CAPE MAY COUNTY AIRPORT US NJ KWWD 39.008 -74.908 7.0 20060101 20200625 745966 99999 CAPE MAY CO US NJ KWWD 39.0 -74.9 7.0 19920621 20051231 745980 13702 LANGLEY AFB AIRPORT US VA KLFI 37.083 -76.36 3.1 19361001 20200625 745980 99999 LANGLEY AFB/HAMPTON US VA KLFI 37.083 -76.35 6.0 20000101 20041231 745985 63806 BLUE RIDGE AIRPORT US VA KMTV 36.631 -80.018 286.8 20060101 20200625 745985 99999 BLUE RIDGE US VA KMTV 36.633 -80.017 287.0 19950708 20051231 746060 99999 SOUTH VANDENBERG AFB US CA 34.65 -120.56700000000001 112.0 19990822 19990822 746061 99999 VANDENBERG BOAT HOU US CA 34.55 -120.617 26.0 19660808 19690305 746110 03182 BICYCLE LAKE FORT IRWIN AAF US CA KBYS 35.283 -116.633 75.6 20050814 20200625 746110 99999 BICYCLE LAKE AAF US CA KBYS 35.281 -116.63 716.3 19840109 20180520 746120 93104 CHINA LAKE US CA KNID 35.688 -117.693 679.7 19730101 20200625 746140 23112 NELLIS AFB AIRPORT US NV KLSV 36.25 -115.03299999999999 570.0 20050101 20200625 746140 99999 INDIAN SPRINGS GUNNERY RANGE US NV 36.533 -115.9 951.9 20000613 20180522 746141 23141 INDIAN SPRING AUX AIRFIELD US NV KINS 36.583 -115.68299999999999 954.9 20050103 20200625 746141 99999 INDIAN SPRINGS AF A US NV 36.583 -115.667 955.0 20040713 20180529 746180 03147 CUDDLEBACK GUNNERY US CA K4CB 35.266999999999996 -117.43299999999999 864.0 19770118 19820910 746180 99999 CUDDLEBACK GUNNERY RANGE CA. US 35.266999999999996 -117.43299999999999 864.0 20020603 20020603 746190 99999 SUPERIOR VALLEY GUNNERY RANGE US CA 36.33 -117.1 962.0 19820806 19920617 746300 99999 STALLION AAF NM US NM 33.817 -106.667 1506.0 19610301 19780728 746375 99999 CLINES CORNER US NM 34.933 -105.583 2109.0 19850207 19981013 746380 93064 MELROSE GUNNERY RAN US NM K4MR 34.3 -103.8 1326.0 19630701 19730629 746380 99999 MELROSE GUNNERY RANGE US NM K4MR 34.295 -103.786 1326.0 20101213 20200624 746410 13975 GAGE AIRPORT US OK KGAG 36.297 -99.76899999999999 667.8 20100709 20200625 746410 99999 GAGE US OK KGAG 36.283 -99.76700000000001 669.0 19431201 20100708 746710 13806 CAMPBELL AAF AIRPORT US KY KHOP 36.667 -87.48299999999999 174.7 19430715 20200625 746710 99999 FORT CAMPBELL (AAF) US KY KHOP 36.667 -87.5 174.0 20000101 20041231 746715 03816 PADUCAH BARKLEY FIELD US KY KPAH 37.056 -88.774 125.9 19730101 19881231 746716 93808 BOW GRN-WARREN CO. RGNL AP US KY KBWG 36.965 -86.42399999999999 160.9 19730101 20200625 746720 99999 SABRE AHP US TN KEOD 36.568000000000005 -87.48100000000001 181.1 20010815 20200624 746925 03741 WARREN FIELD AIRPORT US NC KOCW 35.57 -77.05 11.6 20060101 20200625 746925 99999 WARREN FLD US NC KOCW 35.567 -77.05 12.0 20010811 20051231 746929 03702 DUPLIN COUNTY AIRPORT US NC KDPL 35.0 -77.982 41.8 20060101 20200625 746929 99999 DUPLIN CO US NC KDPL 35.0 -77.982 42.0 20010811 20051231 746930 93737 SIMMONS AAF AIRPORT US NC KFBG 35.133 -78.933 74.4 19610701 20200625 746930 99999 FORT BRAGG/SIMMONS US NC KFBG 35.133 -78.933 74.0 20000103 20041231 746934 99999 ASHEBORO ASHEBORO MUNICIPAL AIR US 35.65 -79.9 205.0 19990114 19990715 746935 03709 ASHEBORO MUNICIPAL AIRPORT US NC KHBI 35.654 -79.895 205.1 20060101 20200625 746935 99999 ASHEBORO RGNL US NC KHBI 35.65 -79.9 205.0 20010811 20051231 746936 03712 HARNETT COUNTY AIRPORT US NC KHRJ 35.379 -78.734 60.4 20060101 20200625 746936 99999 HARTNETT COUNTY US NC KHRJ 35.383 -78.733 61.0 20010811 20051231 746939 93785 HORACE WILLIAMS AIRPORT US NC KIGX 35.933 -79.064 156.1 20060101 20180515 746939 99999 HORACE WILLIAMS US NC KIGX 35.933 -79.067 156.0 20010811 20051231 746940 03708 GOLDSBORO-WAYNE MUNI ARPT US NC KGWW 35.46 -77.965 40.8 20060101 20200625 746940 99999 GOLDSBORO WAYNE MUNI US NC KGWW 35.467 -77.967 41.0 20020829 20051231 746941 00389 MONROE COUNTY AIRPORT US MS KM40 33.873000000000005 -88.49 69.2 20120110 20200626 746941 13786 MONROE CO US MS KECG 36.260999999999996 -76.175 4.0 19490101 19900219 746941 99999 MONROE CO US MS KM40 33.874 -88.49 68.9 20180109 20180524 746943 13786 ELIZABETH CITY CGAS US NC KECG 36.260999999999996 -76.175 4.0 19900314 20100801 746943 99999 ELIZABETH CITY CGAS US NC 36.25 -76.167 4.0 19981223 19981231 746950 99999 DARE COUNTY GUNNERY RANGE NC. US 35.667 -75.9 3.0 19660502 20130430 746960 99999 DIAMOND SHOALS COAST GUARD STATI US 35.15 -75.3 1.0 19750916 19840929 746990 99999 FRYING PAN SHOALS NC. US 33.483000000000004 -77.583 0.0 19750916 19830309 747020 23110 NAVAL AIR STATION US CA KNLC 36.333 -119.95 70.7 19610701 20200625 747040 03102 ONTARIO INTERNATIONAL ARPT US CA KONT 34.056 -117.6 289.3 20050101 20200625 747040 99999 ONTARIO INTL ARPT US CA KONT 34.05 -117.56700000000001 287.0 19770705 20041231 747041 99999 EL MONTE EMSU US CA 34.083 -118.03299999999999 91.1 19850531 19900219 747043 03165 EL MONTE AIRPORT US CA KEMT 34.083 -118.03299999999999 90.2 20060101 20200625 747043 99999 EL MONTE US CA KEMT 34.086 -118.035 90.0 19900314 20051231 747185 03144 IMPERIAL COUNTY AIRPORT US CA KIPL 32.834 -115.579 -17.7 20060101 20200625 747185 99999 IMPERIAL CO US CA KIPL 32.834 -115.579 -16.0 19730101 20051231 747186 03164 CAMPO US CA KCZZ 32.626 -116.46799999999999 805.0 20060101 20200625 747186 99999 CAMPO US CA KCZZ 32.633 -116.46700000000001 807.0 19730101 20051231 747187 03104 DESERT RESORTS RGNL ARPT US CA KTRM 33.626999999999995 -116.15899999999999 -36.0 19430712 20200625 747188 23158 BLYTHE AIRPORT US CA KBLH 33.619 -114.714 120.4 19420613 20200625 747240 03148 GILA BEND AF AUX AIRPORT US AZ KGBN 32.883 -112.71700000000001 257.9 20050224 20191204 747240 23168 GILA BEND AF AUX US AZ KGXF 32.883 -112.71700000000001 269.0 19481101 19991231 747240 99999 GILA BEND AF AUX US AZ KGXF 32.883 -112.71700000000001 269.0 20000103 20041230 747255 99999 PAYSON US AZ 34.266999999999996 -111.35 1571.0 19950708 19960701 747300 99999 SANDERSON TX. US 30.166999999999998 -102.417 865.0 19780510 19991004 747320 23002 HOLLOMAN AFB AIRPORT US NM KHMN 32.85 -106.1 1267.4 20060103 20200625 747320 99999 HOLLOMAN AFB US NM KHMN 32.85 -106.1 1248.0 19420901 20051229 747330 99999 NORTHRUP LANDING STRIP US NM 33.9 -106.4 1193.0 19820318 19940818 747335 03059 SONORA MUNICIPAL AIRPORT US TX KSOA 30.586 -100.649 652.3 20060101 20200625 747335 99999 SONORA MUNI US TX KSOA 30.583000000000002 -100.65 652.0 20040824 20051231 747340 99999 WHITE SANDS MISSILE RANGE SITE NO.39 US 32.633 -106.4 1204.0 19470801 19861231 747350 99999 JAYTON TX. US TX 33.016999999999996 -100.98299999999999 707.0 20070126 20070126 747355 53997 COMANCHE COUNTY-CITY AIRPORT US TX KMKN 31.916999999999998 -98.6 423.1 20060101 20200625 747355 99999 COMANCHE CO CITY US TX KMKN 31.916999999999998 -98.6 423.0 20041123 20051231 747360 93042 MUNICIPAL AIRPORT US TX KDHT 36.016999999999996 -102.55 1216.2 20050101 20200625 747390 13961 FT WORTH MEACHAM INTL ARPT US TX KFTW 32.819 -97.361 209.4 20050101 20200625 747400 13973 KIMBLE COUNTY AIRPORT US TX KJCT 30.511 -99.766 533.1 19770827 20200625 747460 03904 EASTERWOOD FIELD AIRPORT US TX KCLL 30.589000000000002 -96.365 93.0 20050101 20200625 747540 13934 ALEXANDRIA INT US LA KAEX 31.316999999999997 -92.55 27.0 19430901 19991231 747540 93915 ALEXANDRIA INTL AIRPORT US LA KAEX 31.335 -92.559 25.6 20060101 20200626 747540 99999 ALEXANDRIA INT US LA KAEX 31.316999999999997 -92.55 27.0 20000101 20051231 747550 99999 CLAIBORNE RANGE LA. (AFS) US LA 31.133000000000003 -92.56700000000001 67.0 19630701 19910315 747560 12816 GAINESVILLE REGIONAL AIRPORT US FL KGNV 29.691999999999997 -82.27600000000001 37.5 20050101 20200625 747570 93874 GULFPORT-BILOXI INTL ARPT US MS KGPT 30.412 -89.081 12.8 20050101 20200625 747580 13978 GREENWOOD-LEFLORE AIRPORT US MS KGWO 33.496 -90.087 40.5 20050101 20200626 747590 13833 BOBBY L CHAIN MUNI AIRPORT US MS KHBG 31.281999999999996 -89.25299999999999 46.0 20050101 20200625 747680 13939 MID DELTA REGIONAL AIRPORT US MS KGLH 33.483000000000004 -90.985 39.0 20050101 20200625 747681 99999 STENNIS SPACE CENTER MS US MS 30.372 -89.61 21.3 20180515 20200604 747685 93874 GULFPORT BILOXI INT US MS KGPT 30.412 -89.081 8.5 20050101 20100731 747685 99999 GULFPORT BILOXI INT US MS 30.4 -89.06700000000001 9.0 19730101 20041231 747686 13820 KEESLER AIR FORCE BASE US MS KBIX 30.416999999999998 -88.917 10.1 19420509 20200625 747686 99999 KEESLER AFB US MS KBIX 30.416999999999998 -88.917 10.0 20000103 20041231 747688 53858 TRENT LOTT INTL AIRPORT US MS KPQL 30.464000000000002 -88.53200000000001 5.5 20040101 20200625 747688 99999 TRENT LOTT INTL US MS KPQL 30.467 -88.53299999999999 5.0 19680903 20031231 747750 13846 TYNDALL AFB AIRPORT US FL KPAM 30.066999999999997 -85.583 5.2 19420319 20200625 747750 99999 TYNDALL AFB US FL KPAM 30.066999999999997 -85.583 5.0 20000101 20041230 747756 99999 CAPE SAN BLAS COAST GUARD STATIO US 29.68 -85.37 2.0 19780619 19810811 747760 03818 MARIANNA MUNICIPAL AIRPORT US FL KMAI 30.836 -85.184 34.4 19970602 20200625 747760 99999 MARIANNA MUNI US FL KMAI 30.938000000000002 -85.182 34.0 20010811 20041231 747761 99999 TRI CO US FL 30.846 -85.601 25.9 20110713 20200624 747770 03852 HURLBURT FIELD AIRPORT US FL KHRT 30.416999999999998 -86.68299999999999 11.6 19550705 20200625 747770 99999 HURLBURT FIELD (AF) US FL KHRT 30.416999999999998 -86.68299999999999 11.0 20000101 20041231 747780 99999 EGLIN AFB RANGE NO.52 US FL 30.566999999999997 -86.31700000000001 48.0 19820723 20191128 747804 13824 HUNTER ARMY AIRFIELD US GA KSVN 32.016999999999996 -81.133 12.5 20060101 20200625 747804 99999 HUNTER AAF US GA KSVN 32.009 -81.146 13.0 19440301 20051231 747805 63818 STATESBORO-BULLOCK CO ARPT US GA KTBR 32.483000000000004 -81.737 57.0 20060101 20200625 747805 99999 STATESBORO BULLOCH US GA KTBR 32.482 -81.733 57.0 20020423 20051231 747806 63809 THOMASTON-UPSON CO AIRPORT US GA KOPN 32.955 -84.264 242.6 20060101 20200626 747806 99999 THOMASTON UPSON CO US GA KOPN 32.95 -84.26700000000001 243.0 20020423 20051231 747807 03821 LAGRANGE-CALLAWAY AIRPORT US GA KLGC 33.016999999999996 -85.06700000000001 207.9 20060101 20200626 747807 99999 LAGRANGE CALLAWAY US GA KLGC 33.016999999999996 -85.06700000000001 211.0 20020423 20051231 747808 63803 GWINNETT CO-BRISCOE FD APT US GA KLZU 33.98 -83.963 323.4 20060101 20200626 747808 99999 GWINNETT COUNTY ARPT US GA KLZU 33.978 -83.962 323.0 20020430 20051231 747809 03832 WINDER-BORROW AIRPORT US GA KWDR 33.983000000000004 -83.66799999999999 287.4 20060101 20200626 747809 99999 WINDER BARROW US GA KWDR 33.983000000000004 -83.667 287.0 20020430 20051231 747810 13857 MOODY AFB AIRPORT US GA KVAD 30.967 -83.2 71.0 20060103 20200625 747810 99999 MOODY AFB/VALDOSTA US GA KVAD 30.967 -83.2 71.0 19420401 20051230 747812 63813 COBB CO-MC COLLUM FLD ARPT US GA KRYY 34.013000000000005 -84.59899999999999 317.0 20060101 20200626 747812 99999 COBB CO MCCOLLUM FLD US GA KRYY 34.013000000000005 -84.59899999999999 317.0 20020430 20051231 747820 53860 CRAIG MUNICIPAL AIRPORT US FL KCRG 30.336 -81.515 12.5 20050101 20200625 747830 12849 FT LAUD/HOLLYWOOD INTL APT US FL KFLL 26.079 -80.16199999999999 3.4 20050101 20200625 747870 12834 DAYTONA BEACH INTERNATIONAL AIRPORT US FL KDAB 29.183000000000003 -81.048 9.5 20050101 20200625 747880 12810 MAC DILL AFB AIRPORT US FL KMCF 27.85 -82.51700000000001 4.3 19410501 20200626 747880 99999 MACDILL AFB/TAMPA US FL KMCF 27.85 -82.5 4.0 20000101 20041231 747900 13849 SHAW AIR FORCE BASE US SC KSSC 33.967 -80.467 73.5 19411222 20200625 747900 99999 SHAW AFB/SUMTER US SC KSSC 33.967 -80.483 73.0 20000103 20041231 747910 13717 MYRTLE BEACH INTL AIRPORT US SC KMYR 33.683 -78.933 7.6 19421101 20200625 747910 99999 MYRTLE BEACH CIV US SC KMYR 33.683 -78.933 8.0 20000101 20031231 747915 93718 GRAND STRAND AIRPORT US SC KCRE 33.816 -78.72 9.8 19730101 20200626 747915 99999 NORTH MYRTLE BEACH US SC KCRE 33.817 -78.717 10.0 20000101 20031231 747916 99999 GEORGETOWN COAST GUARD LIGHT STA US 33.22 -79.18 8.0 19750911 19850920 747917 00390 MT PLEASANT REGIONAL AIRPORT FASION FIELD US SC KLRO 32.9 -79.783 4.3 20090101 20200625 747917 99999 MOUNT PLEASANT US SC KLRO 32.9 -79.783 3.7 20081208 20180515 747918 00391 GEORGETOWN COUNTY AIRPORT US SC KGGE 33.317 -79.317 12.2 20090510 20200625 747918 99999 GEORGETOWN CO US SC KGGE 33.312 -79.32 11.9 20180101 20180522 747920 99999 POINSETT RANGE SUMPTER US SC 33.85 -80.48 68.0 19700615 19880923 747930 12843 VERO BEACH MUNICIPAL AIRPORT US FL KVRB 27.651 -80.42 8.5 20100801 20200625 747930 99999 VERO BEACH MUNI US FL KVRB 27.65 -80.417 12.0 20010811 20100731 747931 12876 WINTER HAVEN'S GILBERT APT US FL KGIF 28.061999999999998 -81.75399999999999 44.5 20050101 20200625 747940 12868 COCOA BEACH CAPE KENNEDY AFS US FL KXMR 28.483 -80.567 3.1 19500801 20200626 747940 99999 CAPE CANAVERAL AFS SKID STRIP US FL KXMR 28.468000000000004 -80.567 3.0 20020116 20180501 747945 99999 NASA SHUTTLE FCLTY US FL KSC 28.616999999999997 -80.7 3.0 19780317 19930617 747946 12886 KENNEDY SPACE CENTER US FL KTTS 28.616999999999997 -80.683 3.1 20060101 20200625 747946 99999 NASA SHUTTLE LANDING US FL KTTS 28.615 -80.694 3.0 19930701 20051231 747950 12867 PATRICK AFB AIRPORT US FL KCOF 28.233 -80.6 2.4 19450301 20200625 747950 99999 PATRICK AFB/COCOA B US FL KCOF 28.233 -80.6 3.0 20000102 20041231 747960 12804 AVON PARK GUNNERY R US FL KAGR 27.65 -81.333 20.0 19431201 19930929 747960 99999 AVON PARK GUNNERY RANGE US FL KAGR 27.65 -81.33 20.0 20180515 20200624 747985 99999 DRY TORTUGAS (CGS) US FL 24.633000000000003 -82.917 1.0 19750916 19870705 747986 99999 MARATHON COAST GUARD STATION US FL 24.72 -81.12 1.0 19750916 19841015 747994 99999 BUTTE LA ROSE US LA KBCG 30.116999999999997 -91.55 10.0 19850701 19850706 749000 99999 ARNOLD AFB US TN KAYX 35.393 -86.086 324.6 19430101 19690801 749001 99999 RAF SPILSBURY UK 53.167 0.16699999999999998 11.0 19431001 19460531 749002 99999 ATTLEBOROUGH UK 52.5 0.95 32.0 19430901 19450831 749003 99999 DEENETHORPE UK 52.5 -0.6 105.0 19440701 19450630 749005 99999 TIBENHAM AIRFIELD UK 52.457 1.162 52.0 19440701 20200624 749006 99999 HEMINGSTONE UK 52.133 1.1 58.0 19440601 19450630 749007 99999 RAF HOME-ON-SPALDING UK 53.8 -0.75 4.0 19410901 19451031 749008 99999 STURGATE AIRFIELD UK EGCS 53.381 -0.685 21.0 19430901 19570613 749009 99999 RAF BLYTON UK 53.467 -0.7 240.0 19430301 19430630 749010 99999 LAGUNA AAF US 32.85 -114.4 152.0 19470708 19470814 749011 99999 LA 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MX 32.4 -115.18299999999999 11.0 19911114 20200624 760500 99999 ENSENADA BC MX 31.666999999999998 -116.56700000000001 10.0 19490601 20200312 760550 99999 SAN FELIPE BCN MX 31.033 -114.85 15.0 19810601 20200624 760610 99999 PUERTO PENASCO SON. MX 31.3 -113.55 62.0 19490201 20200624 760620 99999 PUERTO PENASCO MX 31.333000000000002 -113.55 3.0 20050430 20050430 760751 99999 CIUDAD INTL MX 31.633000000000003 -106.43299999999999 1167.0 19730101 19900219 760753 99999 ABRAHAM GONZALEZ INTL MX MMCS 31.636 -106.429 1189.9 19900314 20200624 760754 99999 GENERAL DIV P A ANGEL H CORZO MOLINA MX MMTB 16.74 -93.17299999999999 581.9 19940108 20160526 760801 99999 NOGALES-IN-SONORA MX NOG 31.233 -110.98299999999999 1222.0 19730101 19771215 761130 99999 ALTAR SON. MX 30.717 -111.833 398.0 19490201 20200624 761180 99999 PILARES DE NACOZARI SON. MX 30.366999999999997 -109.68299999999999 1041.0 19490201 20030601 761220 99999 NUEVA CASAS GRANDES CHIH. MX 30.366999999999997 -107.95 1487.0 19490301 20200624 761300 99999 VILLA AHUMADA MX 30.616999999999997 -106.51700000000001 1181.0 19490109 19740709 761510 99999 ISLA GUADALUPE MX 29.17 -118.32 23.0 19490101 20021220 761600 99999 GENERAL IGNACIO P GARCIA INTL MX MMHO 29.096 -111.04799999999999 191.1 19490402 20200624 761601 99999 HERMOSILLO MX 29.066999999999997 -110.98299999999999 211.0 19940103 19940824 761610 99999 HERMOSILLO INTL & MX 29.083000000000002 -110.95 211.0 19730101 19880105 761613 99999 HERMOSILLO INTL MX 29.1 -111.05 187.0 19880105 19910806 762055 99999 SANTA ROSALIA MX 27.3 -112.28299999999999 103.0 19730101 19760806 762200 99999 TEMOSACHIC CHIH. MX 28.95 -107.81700000000001 1932.0 19490101 20200624 762250 99999 CHIHUAHUA CHIH. MX 28.633000000000003 -106.083 1433.0 19520301 20200624 762252 99999 CHIHUAHUA INTL & MX 28.7 -105.96700000000001 1354.0 19730101 19900109 762253 99999 GENERAL R FIERRO VILLALOBOS INTL MX MMCU 28.703000000000003 -105.965 1360.0 19900111 20200624 762254 99999 CHIHUAHUA MX 28.7 -105.98299999999999 1360.0 19940116 19940824 762430 99999 PIEDRAS NEGRAS INTL MX MMPG 28.627 -100.535 274.6 19730103 20200624 762530 99999 CIUDAD OBREGON INTL MX MMCN 27.393 -109.833 62.5 19790701 20200624 762533 99999 SANTA ROSALIA MX 27.316999999999997 -112.31700000000001 75.0 19940131 19940824 762550 99999 GUAYMAS-IN-SONORA MX 27.916999999999998 -110.883 4.0 19520301 19790402 762552 99999 19730101 19731231 762555 99999 GENERAL JOSE MARIA YANEZ INTL MX MMGM 27.969 -110.925 18.0 19750617 20200624 762556 99999 GUAYMAS INTL APT MX 27.967 -110.95 27.0 19940108 19940824 762560 99999 EMPALME SON. MX 27.95 -110.76700000000001 12.0 19770101 20200624 762580 99999 CIUDAD OBREGON SON MX 27.483 -109.917 38.0 19730101 20200624 762582 99999 19730101 19770208 762800 99999 SIERRA MOJADA MX 27.283 -103.667 1398.0 19490101 19511130 762861 99999 NUEVO LAREDO MX 27.433000000000003 -99.56700000000001 141.0 19730101 19900219 762863 99999 QUETZALCOATL INTL MX MMNL 27.444000000000003 -99.57 147.5 19900314 20200624 762864 99999 NUEVO LAREDO INTL MX 27.433000000000003 -99.583 148.0 19940116 19940824 763050 99999 LORETO INTL MX MMLT 25.989 -111.348 10.4 19801018 20200624 763110 99999 CHOIX SIN. MX 26.733 -108.28299999999999 238.0 19760317 20200624 763230 99999 HIDALGO DEL PARRAL CHIH. MX 26.933000000000003 -105.667 1661.0 19780301 20200624 763340 99999 TULANCINGO MX 20.083 -98.367 2181.0 20010817 20110622 763420 99999 MONCLOVA INTL MX MMMV 26.956 -101.47 568.1 19490108 20200624 763425 99999 MULEGE MX MMMG 26.906999999999996 -111.96799999999999 42.7 19730622 20101016 763490 99999 CAMARGO MX 26.316999999999997 -98.833 68.0 19490701 19520101 763501 99999 REYNOSA INTL MX 26.017 -98.23299999999999 39.0 19730101 19900219 763503 99999 GENERAL LUCIO BLANCO INTL MX MMRX 26.009 -98.229 42.4 19900314 20200624 763504 99999 REYNOSA INTL ARPT MX 26.017 -98.25 39.0 19940108 19940824 763610 99999 LOS MOCHIS (CITY) MX 25.8 -109.117 17.0 19730101 19750630 763615 99999 VALLE DEL FUERTE INTL MX MMLM 25.685 -109.081 4.9 19750701 20200624 763616 99999 LOS MOCHIS APT MX 25.683000000000003 -109.1 4.0 19940307 19940824 763730 99999 TEPEHUANES DGO. MX 25.35 -105.75 1967.0 19821001 20200624 763810 99999 LERDO-IN-DURANGO MX 25.533 -103.51700000000001 1140.0 19730112 19770224 763820 99999 TORREON INTL MX MMTC 25.568 -103.411 1124.1 19490101 20200624 763821 99999 TORREJON MX 25.533 -103.46700000000001 1124.0 19940108 19940824 763822 99999 19730101 19731231 763825 99999 TORREON AIRPORT & MX 25.533 -103.45 1150.0 19750618 19910320 763900 99999 SALTILLO COAH. MX 25.366999999999997 -101.01700000000001 1790.0 19730101 20200624 763930 99999 MONTERREY N.L. MX 25.733 -100.3 515.0 19730101 20200624 763940 99999 DEL NORTE INTL MX MMAN 25.866 -100.23700000000001 449.9 19730101 20200624 763943 99999 GENERAL MARIANO ESCOBEDO INTL MX MMMY 25.778000000000002 -100.10700000000001 389.5 19900601 20200624 763944 99999 MONTERREY/ESCOBEDO MX 25.767 -100.1 387.0 19870320 19940630 763990 99999 MATAMOROS (CITY) MX 25.866999999999997 -97.51700000000001 12.0 19730103 19780202 763991 99999 MATAMOROS INTL MX 25.767 -97.53299999999999 7.0 19730101 19900219 763993 99999 GENERAL SERVANDO CANALES INTL MX MMMA 25.77 -97.525 7.6 19900314 20200624 763994 99999 MATAMOROS INTL MX 25.767 -97.55 8.0 19940108 19940824 764010 99999 PUERTO CORTES MX 22.467 -111.53299999999999 5.0 19490212 20121002 764015 99999 LORETO & MX 26.0 -111.367 6.0 19730101 19910320 764020 99999 CIUDAD CONSTITUCION BCS MX 25.0 -111.633 48.0 19801011 20200624 764050 99999 LA PAZ BCS MX 24.166999999999998 -110.3 18.0 19520807 20200624 764054 99999 LA PAZ MX 24.066999999999997 -110.383 21.0 19940103 19940824 764055 99999 GENERAL MANUEL MARQUEZ DE LEON INTL MX MMLP 24.073 -110.36200000000001 21.0 19750618 20200624 764056 99999 LOS CABOS INTL MX MMSD 23.151999999999997 -109.721 114.0 19910321 20200624 764057 99999 SAN JOSE DEL CABO MX 23.15 -109.71700000000001 109.0 19940601 19940824 764120 99999 CULIACAN INTL MX MMCL 24.765 -107.475 32.9 19730101 20200624 764121 99999 CULIACAN MX 24.816999999999997 -107.43299999999999 39.0 19940108 19940824 764125 99999 CULIACAN (CITY) & MX 24.816999999999997 -107.4 53.0 19750618 19910806 764230 99999 DURANGO DGO. MX 24.05 -104.6 1872.0 19730101 20200624 764232 99999 19730101 19731231 764235 99999 DURANGO INTL MX MMDO 24.124000000000002 -104.52799999999999 1860.5 19750618 20200624 764236 99999 DURANGO APT MX 24.133000000000003 -104.55 1857.0 19940108 19940824 764580 99999 COLONIA JUAN CARRASCO MAZATLAN SIN. MX 23.2 -106.417 4.0 19730102 20200624 764590 99999 19730101 19750331 764591 99999 MAZATLAN/G.BUELNA I MX 23.15 -106.25 5.0 19750401 19900219 764593 99999 GENERAL RAFAEL BUELNA INTL MX MMMZ 23.160999999999998 -106.266 11.6 19900501 20200624 764594 99999 MAZATLAN/G. RAFAEL MX 23.166999999999998 -106.28299999999999 10.0 19900314 19940630 764710 99999 SOMBRERETE ZAC. MX 23.633000000000003 -103.65 2351.0 19780401 20200624 764900 99999 ISLA PEREZ MX 22.383000000000003 -89.68299999999999 1.5 19730919 20200624 764910 99999 CIUDAD VICTORIA TAMPS. MX 23.733 -99.133 355.0 19490101 20200624 764915 99999 GENERAL PEDRO JOSE MENDEZ INTL MX MMCV 23.704 -98.95700000000001 232.0 19750618 20200624 764916 99999 CIUDAD VICTORIA APT MX 23.717 -98.98299999999999 238.0 19940119 19940824 764990 99999 SOTO LA MARINA TAMPS. MX 23.767 -98.2 21.0 19491101 20200624 765180 99999 HUEJUCAR MX 22.383000000000003 -103.367 1932.0 19730110 19780302 765190 99999 COLOTLAN JAL. MX 22.1 -103.26700000000001 1673.0 19760401 20200624 765250 99999 ZACATECAS ZAC. (LA BUFA ZAC.) MX 22.783 -102.56700000000001 2612.0 19730109 20200612 765254 99999 ZACATECAS MX 22.9 -102.71700000000001 2140.0 19940103 19940824 765255 99999 GENERAL LEOBARDO C RUIZ INTL MX MMZC 22.897 -102.68700000000001 2176.6 19840908 20200624 765260 99999 ZACATECAS ZAC. MX 22.75 -102.5 -999.9 20051211 20140416 765390 99999 PONCIANO ARRIAGA INTL MX MMSP 22.254 -100.931 1839.5 19730101 20200624 765395 99999 SAN LUIS POTOSI MX 22.166999999999998 -101.0 1903.0 19940103 19940824 765411 99999 TAMUIN/VILLA TAMUIN MX 22.05 -98.8 50.0 19730101 19770216 765430 99999 TAMUIN S.L.P. MX 22.0 -98.76700000000001 104.0 19750814 20160419 765480 99999 TAMPICO TAMPS MX 22.2 -97.85 25.0 19730101 20200624 765490 99999 TAMPICO MX 22.283 -97.85 15.0 19730101 19750331 765491 99999 TAMPICO/GEN FJ MINA MX 22.283 -97.85 24.0 19750401 19900219 765493 99999 GENERAL FRANCISCO JAVIER MINA INTL MX MMTM 22.296 -97.866 24.4 19900503 20200624 765494 99999 TAMPICO INTL ARPT MX 22.283 -97.883 24.0 19900315 19940630 765510 99999 ISLAS MARIAS NAY MX 21.616999999999997 -106.55 2.0 19730103 20170621 765560 99999 TEPIC MX MMEP 21.419 -104.84299999999999 920.5 19730112 20200624 765563 99999 TEPIC MX 21.517 -104.917 922.0 19940306 19940824 765700 99999 ISLA LOBOS MX 21.467 -97.2 5.0 19790402 19800920 765710 99999 JESUS TERAN INTL MX MMAS 21.705 -102.318 1862.9 19730101 20200624 765713 99999 AGUASCALIENTES MX 21.883000000000003 -102.31700000000001 1885.0 19940124 19940824 765730 99999 LAGOS DE MORENO JAL. MX 21.35 -101.917 1942.0 19730109 20200624 765750 99999 LEON/SAN CARLOS MX 21.066999999999997 -101.53299999999999 1829.0 19730102 20130205 765752 99999 LEON/SAN CARLOS MX 21.066999999999997 -101.55 1829.0 19730101 19900109 765754 99999 LEON/SAN CARLOS MX LEN 21.066999999999997 -101.55 1829.0 19900111 19900316 765770 99999 GUANAJUATO GTO. MX 21.0 -101.28299999999999 1999.0 19730101 20200624 765773 99999 GUANAJUATO INTL MX MMLO 20.983 -101.48299999999999 1815.4 19900724 20200624 765774 99999 DEL BAJIO/LEON MX 21.0 -101.5 1819.0 19940306 19940824 765800 99999 CAYO ARENAS MX 22.133000000000003 -91.4 3.0 19730101 19830711 765801 99999 CAYO ARENAS MX 22.133000000000003 -91.4 3.0 20171116 20200624 765810 99999 RIO VERDE S.L.P. MX 21.933000000000003 -99.98299999999999 983.0 19730101 20200624 765820 99999 GUTIERREZ ZAMORA MX 20.467 -97.083 20.0 19730103 19760108 765825 99999 POZA RICA/AIRPORT MX PZA 20.5 -97.46700000000001 62.0 19730719 19840701 765850 99999 MATLAPA S.L.P. MX 21.316999999999997 -98.81700000000001 132.0 19790701 20200624 765900 99999 CANCUN AIRPORT MX 21.017 -86.867 5.0 19790112 19790112 765905 99999 CANCUN INTL MX 21.017 -86.867 5.0 19730721 19940630 765906 99999 CANCUN INTL MX 21.033 -86.867 6.0 19900501 20081231 765930 99999 PROGRESO YUC. MX 21.3 -89.65 2.0 19730103 20200624 765950 99999 CANCUN INTL MX MMUN 21.037 -86.87700000000001 6.1 19990315 20200624 765990 99999 ISLA MUJERES MX 21.2 -86.71700000000001 7.0 19730104 19750711 766010 99999 PUERTO VALLARTA MX 20.683000000000003 -105.25 6.0 19800611 19880105 766011 99999 PUERTO VALLARTA MX PVR 20.683000000000003 -105.25 6.0 19730101 19800605 766013 99999 LICENCIADO GUSTAVO DIAZ ORDAZ INTL MX MMPR 20.68 -105.25399999999999 7.0 19900501 20200624 766014 99999 PUERTO VALLARTA MX 20.666999999999998 -105.26700000000001 6.0 19880105 19940630 766015 99999 ZAPOPAN MX MMZP 20.756 -103.465 1625.5 19960331 20160526 766110 99999 19490308 19511130 766120 99999 GUADALAJARA JAL. MX 20.666999999999998 -103.383 1551.0 19730101 20200624 766123 99999 GUADALAJARA INTL MX 20.517 -103.333 1528.0 19900314 19940630 766127 99999 TAJIN MX MMPA 20.603 -97.461 151.5 19990114 20200624 766130 99999 GUADALAJARA MX 20.6 -103.383 1526.0 19730101 19800128 766131 99999 GUADALAJARA INTL & MX 20.517 -103.31700000000001 1526.0 19750401 19900219 766133 99999 DON MIGUEL HIDALGO Y COSTILLA INTL MX MMGL 20.522 -103.311 1528.9 19900501 20200624 766134 99999 SAN JOSE DEL CABO & MX 22.666999999999998 -102.55 0.0 19771005 19910320 766250 99999 QUERETARO INTERCONTINENTAL MX MMQT 20.616999999999997 -100.186 1919.0 19730101 20200624 766320 99999 PACHUCA HGO. MX 20.133 -98.75 2435.0 19730101 20200624 766340 99999 TULANCINGO HGO. MX MMTL 20.083 -98.367 2181.0 19730106 20200624 766342 99999 TULANCINGO MX 20.083 -98.367 2181.0 19730101 19900109 766343 99999 TULANCINGO MX 20.083 -98.367 2181.0 19900111 19910320 766390 99999 19730101 19740429 766400 99999 TUXPAN.VER. MX 20.95 -97.4 28.0 19730101 20200624 766405 99999 AZCATLAN MX 20.283 -97.71700000000001 364.0 19730801 19740909 766420 99999 TRIANGULOS REEFS MX 20.967 -92.31700000000001 2.0 19730101 20120113 766421 99999 NAUTLA (RBN) MX 20.2 -96.76700000000001 3.0 19750701 19780311 766430 99999 CAYO ARCAS (ISLAND) MX 20.217 -91.96700000000001 3.0 20020122 20191106 766440 99999 LICENCIADO MANUEL CRESCENCIO REJON INT MX MMMD 20.936999999999998 -89.65799999999999 11.6 19730101 20200624 766443 99999 MERIDA/LICENCIADO MX 20.933000000000003 -89.667 10.0 19900501 19940927 766450 99999 19730101 19730410 766470 99999 VALLADOLID YUC. MX 20.683000000000003 -88.2 27.0 19730103 20200624 766480 99999 COZUMEL INTL MX MMCZ 20.522 -86.926 9.1 19730103 20200624 766483 99999 COZUMEL MX 20.517 -86.93299999999999 5.0 19900314 19910320 766490 99999 COZUMEL (FAM) Q ROC MX 20.517 -86.93299999999999 4.0 19730101 19980630 766491 99999 COZUMEL INTL ARPT & MX 20.517 -86.95 3.0 19750401 19900219 766493 99999 COZUMEL INTL MX 20.517 -86.917 5.0 19900508 20081231 766534 99999 PLAYA DE ORO INTL MX MMZO 19.145 -104.559 9.1 19780420 20200624 766535 99999 MANZANILLO MX 19.15 -104.583 8.0 19940108 19940824 766540 99999 MANZANILLO COL. MX 19.05 -104.31700000000001 3.0 19730102 20200624 766545 99999 MANZANILLO INTL & MX 19.15 -104.56700000000001 5.0 19730101 19810218 766546 99999 LICENCIADO Y GEN IGNACIO LOPEZ RAYON MX MMPN 19.397000000000002 -102.039 1602.6 19730101 20200624 766547 99999 URUAPAN/GEN RAYON MX 19.4 -102.05 1593.0 19730103 19940824 766560 99999 CIUDAD GUZMAN JAL. MX 19.717 -103.46700000000001 1515.0 19730804 20200624 766580 99999 COLIMA MX MMIA 19.277 -103.57700000000001 751.9 19730101 20200624 766581 99999 COLIMA & MX 19.233 -103.73299999999999 494.0 19881223 19890125 766583 99999 COLIMA MX MMIA 19.267 -103.6 723.0 19940306 19940823 766585 99999 COLIMA ARPT MX IMA 19.217 -103.71700000000001 457.0 19730101 19760925 766620 99999 ZAMORA MICH. MX 19.983 -102.31700000000001 1562.0 19740808 20200624 766650 99999 MORELIA MICH. MX 19.7 -101.18299999999999 1913.0 19730103 20200624 766655 99999 GENERAL FRANCISCO J MUJICA INTL MX MMMM 19.85 -101.02600000000001 1838.9 19730101 20200624 766656 99999 MORELIA NEW MX 19.85 -101.05 1833.0 19940108 19940824 766700 99999 FES CUAUTITLAN MX 19.683 -99.18299999999999 2251.0 20070228 20080910 766714 99999 NAME\LOCATION UNKN MX 0.0 0.0 -999.0 19830707 19840630 766724 99999 NAME0LOCATION UNKN MX ZCL 19840320 19840630 766750 99999 TOLUCA MEX. MX 19.283 -99.68299999999999 2720.0 19730101 20200624 766753 99999 LICENCIADO ADOLFO LOPEZ MATEOS INTL MX MMTO 19.337 -99.566 2580.4 19870320 20200624 766754 99999 TOLUCA/JOSE MARIA MX 19.35 -99.583 2576.0 19940127 19940824 766790 99999 AEROP INTERNACIONAL MEXICO D F MX 19.433 -99.133 2235.0 19730101 20130430 766792 99999 19730101 19731231 766793 99999 LICENCIADO BENITO JUAREZ INTL MX MMMX 19.436 -99.072 2229.9 19850719 20200624 766800 99999 MEXICO (CENTRAL) D.F. MX 19.4 -99.18299999999999 2303.0 19730101 20200624 766810 99999 GEOGRAFIA UNAM MX 19.317 -99.18299999999999 2278.0 20070503 20200329 766830 99999 TLAXCALA TLAX. MX 19.317 -98.25 2248.0 19730130 20200624 766850 99999 HERMANOS SERDAN INTL MX MMPB 19.158 -98.37100000000001 2243.6 19730102 20200624 766855 99999 PUEBLA MX 19.033 -98.21700000000001 2166.0 19940623 19940824 766870 99999 JALAPA VER. MX 19.55 -96.917 1389.0 19730101 20200624 766875 99999 LENCERO MX MMJA 19.475 -96.79799999999999 953.1 19750703 19770215 766890 99999 CAYO ARCAS MX 20.217 -92.01700000000001 3.0 19750109 19840702 766900 99999 TRIANGULOS REEFS & MX 20.95 -92.26700000000001 0.0 19730101 19820913 766910 99999 VERACRUZ/GEN JARA MX 19.2 -96.133 14.0 19730101 19940630 766913 99999 GENERAL HERIBERTO JARA INTL MX MMVR 19.146 -96.18700000000001 27.4 19900501 20200624 766920 99999 HACIENDA YLANG YLANG VERACRUZ VER. MX 19.15 -96.117 16.0 19730101 20200624 766950 99999 INGENIERO ALBERTO ACUNA ONGAY INTL MX MMCP 19.817 -90.5 10.4 19730101 20200624 766953 99999 CAMPECHE/IGNACIO MX 19.833 -90.5 10.0 19900314 19940824 766960 99999 19730101 19750630 766961 99999 CAMPECHE/IGNACIO & MX 19.833 -90.51700000000001 9.0 19750618 19900219 766980 99999 FELIPE CARRILLO PUERTO Q ROO MX 19.567 -88.05 10.0 19810101 20200624 767130 99999 CUIDAD DEL CARMEN MX 18.63 -91.83 2.0 20100313 20110118 767230 99999 ISLA SOCORRO COL. MX 18.717 -110.95 35.0 19730101 20090823 767260 99999 GENERAL MARIANO MATAMOROS MX MMCB 18.835 -99.262 1303.6 19801001 20200624 767270 99999 ZACATEPEC MOR MX 18.7 -99.167 995.8 19730104 20200624 767370 99999 ORIZABA VER. MX 18.85 -97.1 1259.0 19730103 20200624 767375 99999 TEHUACAN MX MMHC 18.497 -97.42 1679.1 19730101 19770824 767380 99999 CORDOBA-IN-VERACRUZ MX 18.9 -96.93299999999999 882.7 19730102 20200624 767383 99999 MINATITLAN MX MMMT 18.102999999999998 -94.581 11.0 19940314 20200624 767410 99999 COATZACOALCOS VER MX 18.183 -94.5 16.0 19730103 20200624 767430 99999 VILLAHERMOSA TAB. MX 17.983 -92.93299999999999 16.0 19750814 20200620 767433 99999 C P A CARLOS ROVIROSA INTL MX MMVA 17.983 -92.81700000000001 14.0 19900314 20200624 767434 99999 VILLAHERMOSA MX 18.0 -92.833 13.0 19940630 19940824 767441 99999 VILLAHERMOSA & MX 18.017 -92.95 33.0 19730101 19900219 767460 99999 VILLAHERMOSA MX 18.0 -92.883 -999.0 20020622 20020622 767473 99999 CIUDAD DEL CARMEN MX MMCE 18.65 -91.78299999999999 3.0 19880129 19880303 767490 99999 CIUDAD DEL CARMEN MX 18.65 -91.78299999999999 3.0 19730101 19880105 767493 99999 CIUDAD DEL CARMEN INTL MX MMCE 18.654 -91.79899999999999 3.0 19880303 20200624 767494 99999 CIUDAD DEL CAR MX 18.65 -91.833 2.0 19940108 19940824 767500 99999 CHETUMAL INTL MX MMCM 18.505 -88.32700000000001 11.9 19730101 20200624 767501 99999 CHICHEN ITZA INTL MX MMCT 20.641 -88.446 31.1 20040510 20200427 767502 99999 IXTEPEC MX MMIT 16.449 -95.094 50.0 19730101 20160526 767503 99999 CABO SAN LUCAS MX MMSL 22.948 -109.939 210.0 19940628 20200624 767510 99999 CHETUMAL Q ROO (FAM) MX 19.0 -86.31700000000001 13.0 19901120 20200623 767581 99999 ZIHUATANEJO MX ZIH 17.65 -101.45 6.0 19730101 19800605 767584 99999 IXTAPA ZIHUATANEJO INTL MX MMZH 17.602 -101.461 7.9 19800611 20200624 767585 99999 IXTAPA-ZIHUATANEJO MX 17.6 -101.48299999999999 6.0 19940116 19940824 767620 99999 CHILPANCINGO RO. MX 17.55 -99.5 1265.0 19730101 20200624 767730 99999 HUAJUAPAN DE LEON OAX MX 17.789 -97.772 1606.0 19790501 20200624 767750 99999 OAXACA OAX. MX 17.05 -96.71700000000001 1518.0 19500401 20200624 767755 99999 XOXOCOTLAN INTL MX MMOX 17.0 -96.73299999999999 1520.6 19750618 20200622 767756 99999 OAXACA/XOXOCOTLAN MX 16.967 -96.75 1528.0 19940305 19940824 767810 99999 COATZACOALCOS & MX MTT 18.15 -94.417 14.0 19730101 19850401 767981 99999 TEQUESQUITENGO MX TEQ 18.617 -99.25 99.0 19730101 19811215 768050 99999 ACAPULCO GRO MX 16.75 -99.75 3.0 19730101 20200624 768053 99999 ACAPULCO/G. ALVAREZ MX 16.75 -99.75 5.0 19900501 19940927 768055 99999 PINOTEPA NATL MX 16.35 -98.06700000000001 76.0 19730102 19770126 768056 99999 GENERAL JUAN N ALVAREZ INTL MX MMAA 16.757 -99.75399999999999 4.0 19750618 20200624 768230 99999 SAN PEDRO POCHUTALA MX 15.732999999999999 -96.46700000000001 152.0 20080921 20080921 768235 99999 POCHUTALA MX PTL 15.732999999999999 -96.46700000000001 152.0 19730103 19760620 768300 99999 IXTEPEC MX 16.467 -95.1 61.0 19730101 19771201 768330 99999 SALINA CRUZ OAX. MX 16.167 -95.18299999999999 11.0 19730102 20200624 768400 99999 ARRIAGA CHIS. MX 16.233 -93.9 48.0 19730404 20200624 768420 99999 TUXTLA GUTIERREZ MX 16.75 -93.117 536.0 19730105 19760821 768430 99999 TUXTLA GUTIERREZ CHIS. MX MMTB 16.75 -93.133 576.0 19730101 20200624 768433 99999 TUXTLA GUTIERREZ MX 16.75 -93.133 528.0 19940630 19940824 768435 99999 PALIZADA MX 18.25 -92.083 15.0 19741208 19940920 768450 99999 SN. CRISTOBAL LAS CASAS CHIS. MX 16.75 -92.633 2116.0 19730102 20200624 768480 99999 COMITAN CHIS. MX 16.25 -92.133 1646.0 19730102 20200624 768485 99999 BAHIAS DE HUATULCO INTL MX MMBT 15.775 -96.26299999999999 141.4 19880725 20200624 768486 99999 BAHIAS DE HUATULCO MX 15.783 -96.28299999999999 143.0 19940124 19940824 768550 99999 PUERTO ANGEL OAX. MX 15.683 -96.48299999999999 46.0 19500516 20200624 768556 99999 PUERTO ESCONDIDO INTL MX MMPS 15.877 -97.089 89.6 19880810 20200624 768557 99999 PUERTO ESCONDIDO MX 15.867 -97.1 88.0 19940225 19940824 768560 99999 PUERTO ANGEL OAX. 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CU 22.416999999999998 -83.68299999999999 37.0 19730101 20161011 783160 99999 LA PALMA PINAR DEL RIO CU 22.767 -83.55 47.0 19761101 20160113 783170 99999 PASO REAL DE SAN DIEGO PINAR DEL RIO CU 22.55 -83.3 44.0 19730101 20160113 783180 99999 BAHIA HONDA PINAR DEL RIO CU 22.916999999999998 -83.167 3.0 19761101 20161011 783190 99999 ARTEMISA LA HABANA CU 22.8 -82.75 42.0 20020618 20160113 783200 99999 GUIRA DE MELENA LA HABANA CU 22.783 -82.51700000000001 10.0 19760302 20160113 783210 99999 LA FE ISLA DE LA JUVENTUD CU 21.733 -82.76700000000001 32.0 19730101 20160113 783220 99999 BATABANO LA HABANA CU 22.717 -82.28299999999999 7.0 20020610 20161011 783230 99999 GUINES LA HABANA CU 22.85 -82.03299999999999 55.0 19730101 20160113 783240 99999 PUNTA DEL ESTE ISLA DE LA JUVENTUD CU 21.55 -82.53299999999999 10.0 19790908 20161011 783250 99999 CASA BLANCA LA HABANA CU 23.166999999999998 -82.35 50.0 19490101 20161011 783260 99999 MATANZAS CU 23.017 -81.517 46.0 19730101 20160113 783270 99999 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URUGUAY DN UK -59.45 -27.267 15.0 19790401 19840522 889490 99999 PORT LOCKROY AY -64.817 -63.5 10.0 19490105 19531130 889520 99999 ARGENTINE ISLAND UK -65.25 -64.267 9.0 19490101 19850827 889560 99999 ADELAIDE ISLANDS EST AY -66.883 -66.95 0.0 19560701 19580630 889580 99999 ADELAIDE ISLAND UK -67.767 -67.917 13.0 19730101 19770115 889590 99999 ADELAIDE ISLANDS SE AY -67.65 -67.233 939.0 19550901 19580630 889610 99999 STONINGTON BRI-BASE UK -68.183 -67.017 14.0 19490101 19831128 889620 99999 FOSSIL BLUFF UK -71.333 -68.35 55.0 19730101 19850802 889630 99999 BASE ESPERANZA AY -63.4 -56.983000000000004 24.0 19730101 20200624 889650 99999 MELCHIOR S OFKNEY IS ARG N BASE AY -63.683 -61.033 7.9 19490501 19531231 889670 99999 BELGRANO 1 ARG-BASE AR -77.967 -38.8 32.0 19730101 19801212 889680 99999 BASE ORCADAS AR -60.733000000000004 -44.733000000000004 8.0 19490501 20200624 889700 99999 MATIENZO ARG-BASE AR -64.967 -60.05 32.0 19731008 19870328 889710 99999 BROWN ARG-BASE AR -64.883 -62.883 1.0 19730518 19840412 889740 99999 DECEPTION ISLAND AR -62.983000000000004 -60.567 8.0 19490501 19800310 889810 99999 ZAVODOVSKI IS. UK -56.283 -27.583000000000002 113.0 19950207 19990106 889860 99999 SOUTH THULE IS. UK -59.45 -27.316999999999997 268.0 19950207 20130802 890010 99999 SANAE SAF-BASE AY -70.3 -2.35 62.0 19730101 19970129 890020 99999 NEUMAYER AY -70.667 -8.25 50.0 19811101 20200624 890030 99999 HALVFARRYGGEN (EP11) AY -71.15 -6.683 694.0 20080331 20200624 890040 99999 S.A.N.A.E. AWS AY -71.7 -2.8 817.0 19970101 20200624 890090 90001 AMUNDSEN-SCOTT AY NZSP -90.0 0.0 2830.0 19570109 20200624 890090 99999 AMUNDSEN-SCOTT AY NZSP -90.0 0.0 2835.0 20000101 20041231 890130 99999 BALDRICK AWS AY -82.76700000000001 -13.05 1968.0 20080229 20200624 890140 99999 NORDENSKIOLD BASE AY -73.05 -13.383 497.0 19940301 20200604 890160 99999 WASA EPS AY -73.117 -13.15 363.0 20080115 20141201 890180 99999 ZVEA EP6 AY ZVEA -74.483 -11.517000000000001 1160.0 20070919 20131022 890200 99999 BRUNT AWS AY -75.58 -26.17 10.0 20060710 20121111 890220 99999 HALLEY AY -75.61 -26.272 30.0 19560615 20200624 890240 99999 NAVY OPERATED(AMOS) AY -77.517 -23.733 1545.0 19910924 19960929 890270 99999 PRINCESS ELISABETH AY -71.95 23.35 1397.0 19570301 19571225 890340 99999 BASE BELGRANO II AY -77.867 -34.617 256.0 19560601 20200624 890420 99999 SIGNY ISLAND AY -60.717 -45.6 6.0 19850704 19951231 890430 99999 N.CENTRAL ANTARCTICA AY -77.7 -41.1 42.0 19570318 19580630 890440 99999 DRUZHNAYA AY -77.567 -40.217 35.0 19760202 19960404 890450 99999 BELGRANO 3 ARG-BASE AY -77.9 -45.983000000000004 243.0 19810601 19990130 890490 99999 AGO-2 AY -85.667 -46.383 1860.0 20080606 20110816 890500 99999 BELLINGSHAUSEN AWS AY -62.183 -58.883 14.0 19730101 20200624 890510 99999 PETREL ARG-BASE AY -63.467 -56.283 20.0 19730101 19781130 890520 99999 ARCTOWSKI AY -62.167 -58.467 2.0 19780919 19900415 890530 99999 BASE CARLINI AY -62.233000000000004 -58.633 11.0 19800208 20200624 890540 99999 DINAMET-URUGUAY AY -62.183 -58.85 17.0 19850301 20161211 890550 99999 BASE MARAMBIO (CENTRO MET. ANTARTICO) AY -64.233 -56.717 208.0 19730101 20200624 890560 99999 CENTRO MET. ANTARTICO PDTE. EDUARDO FREI AY SCRM -62.183 -58.983000000000004 48.0 19850408 20200624 890570 99999 BASE ARTURO PRAT AY -62.5 -59.683 5.0 19470802 20200624 890580 99999 GREAT WALL AY -62.217 -58.967 10.0 19851101 20200624 890590 99999 BASE BERNARDO O'HIGGINS AY -63.317 -56.683 10.0 19850701 20200624 890600 99999 PRIMAVERA ARG-BASE AY -64.15 -60.95 50.0 19770524 20011106 890610 89061 PALMER STATION AY -64.766 -64.083 8.0 19760601 20200625 890610 99999 PALMER STATION AY -64.767 -64.083 8.0 20010123 20041231 890620 99999 ROTHERA AY -67.567 -68.117 33.0 19770201 20200624 890630 99999 VERNADSKY AY -65.25 -64.267 11.0 19850528 20200624 890640 99999 JUAN CARLOS I AWS AY -62.667 -60.383 12.0 19890103 20200620 890650 99999 FOSSIL BLUFF AY -71.317 -68.283 69.0 19850906 20200624 890660 99999 BASE SAN MARTIN AY -68.117 -67.133 7.0 19761001 20200624 890810 99999 PATRIOT HILLS AWS AY -80.3 -81.333 905.0 20080303 20100125 890830 57801 SIPLE STATION AY -75.917 -83.917 914.0 19730204 19900404 890870 99999 THIEL MTNS AWS AY -85.2 -87.883 1634.0 20090113 20160218 891080 99999 HENRY AY -89.0 -1.0170000000000001 2755.0 19940601 20200624 891250 68201 BYRD USA BASE AY -80.017 -119.53299999999999 1515.0 19730101 19960208 891320 99999 RUSSKAJA AY -74.767 -136.8 141.5 19800401 20170415 891750 99999 BROCKTON AY -78.8 -174.667 15.0 20030224 20190112 892080 99999 UNIV. WI ID 8987 (CLEAN AIR) AY -90.0 0.0 2835.0 19900501 20060830 892140 99999 DRESCHER AY -72.87 -19.03 20.0 20010702 20031231 892500 99999 KING GEORGE ISLAND AY -62.083 -58.4 267.0 20010711 20041024 892510 99999 KING SEJONG AY -62.217 -58.75 11.0 19910201 20200624 892520 99999 COMANDANTE FERRAZ AY -62.083 -58.383 18.0 20080314 20110205 892530 99999 JOINVILLE ISLAND AY -63.183 -55.4 75.0 20070423 20130725 892570 99999 UNIV. WI ID 8925 (LIMBERT AWS) AY -75.867 -59.15 40.0 19980301 20200624 892580 99999 FILCHNER AY -77.083 -51.217 20.0 20080918 20080918 892590 99999 FICHNER-RONNE SCHELFICE AY -83.167 -59.583 165.0 20110620 20110620 892610 99999 UNIV. WI ID 8947 (RACER ROCK) AY -64.067 -61.617 17.0 19910924 20060830 892620 99999 UNIV. WI ID 8926 (LARSEN ICE SHELF) AY -67.017 -61.467 45.0 19900501 20200624 892640 99999 UNIV. WI ID 8920 (URANUS) AY -71.433 -68.933 780.0 19900501 20060625 892660 99999 UNIV. WI ID 8902 (BUTLER ISLAND) AY -72.2 -60.167 115.0 19900501 20200624 892680 99999 NAVY OPERATED(AMOS) AY -75.017 -62.533 25.0 19900501 20080228 892690 99999 BONAPARTE POINT AY -64.783 -64.067 8.0 19960506 20160221 892720 99999 UNIV. WI ID 8917 (SKI-BLU) AY -74.8 -71.483 1589.0 19970101 20200624 892840 99999 SIPLE AY -75.917 -83.917 1054.0 19900501 19961115 893140 99999 THERESA AY -84.6 -115.81700000000001 1463.0 19970101 20200624 893240 99999 BYRD STATION AY -80.0 -119.4 1530.0 19900501 20200624 893270 99999 MOUNT SIPLE AY -73.2 -127.05 230.0 19940601 20191016 893290 99999 HARRY AY -83.0 -121.383 945.0 20070605 20200624 893320 99999 ELIZABETH AY -82.617 -137.083 549.0 19970301 20200624 893450 99999 SIPLE DOME AY -81.65 -148.783 620.0 19970601 20200624 893710 99999 UNIV. WI ID 8983 (SCOTT ISLAND) AY -67.367 -179.967 30.0 19900501 19991208 893740 99999 MARTHA II AY -78.35 -173.36700000000002 18.0 19900501 20041020 893760 99999 GILL AY -79.983 -178.6 55.0 19970101 20200624 893770 99999 LETTAU AY -82.51700000000001 -174.45 55.0 19900501 20200624 894540 99999 AY 19870511 19870511 895040 99999 TROLL IN ANTARKTIS AY -72.017 2.533 1277.0 19940801 20200624 895070 99999 KOHNEN / EP9 AY -75.0 0.0 2892.0 20070822 20200624 895100 99999 DAKSHIN GANGOTRI AY -70.133 12.0 27.0 19870301 19900414 895120 99999 NOVOLAZAREVSKAJA AY -70.767 11.833 119.0 19730101 20200624 895140 99999 MAITRI AY -70.767 11.75 -999.9 19900201 20200624 895240 99999 ASUKA JAPAN-BASE AY -71.533 24.133000000000003 931.0 19870301 20121212 895280 99999 AGO-3 AY -82.76700000000001 28.583000000000002 2912.0 20010707 20130515 895320 99999 SYOWA AY -69.0 39.583 21.0 19730101 20200624 895360 99999 PLATEAU STATION B EP12 AY -78.65 35.633 3620.0 20150709 20160909 895420 99999 MOLODEZNAJA AY -67.667 45.85 50.0 19730101 20200621 895440 99999 MIZUHO AY -70.7 44.333 2230.0 19771126 19861010 895580 99999 POLE OF INACCESSIBILITY EP13 AY -82.117 55.033 3730.0 20150709 20160909 895640 99999 MAWSON AY -67.6 62.867 16.0 19850701 20200624 895650 99999 RUMDOODLE AIRFIELD AY -67.717 62.8 430.0 20010811 20080327 895670 99999 DOVERS AY -70.233 65.85 1100.0 19890101 19931202 895680 99999 DAVIS LGB 35 AWS AY -76.05 65.017 2342.0 19960201 20080702 895700 99999 DAVIS (WHOOP WHOOP) AY -68.467 78.817 546.5 20110826 20200205 895710 99999 DAVIS AY -68.583 77.967 23.0 19730101 20200624 895720 99999 RAUER PLATEAU AIRFI AY -68.85 78.033 363.0 20010914 20050429 895730 99999 ZHONGSHAN AY -69.367 76.367 18.0 19900308 20200624 895740 99999 PROGRESS AY -69.383 76.383 64.0 19880401 20200624 895750 99999 DRUZHNAJA-4 AY -69.75 73.7 46.0 20100202 20200624 895760 99999 DAVIS (LGB 69) AY -70.833 77.067 1850.0 20030211 20090312 895770 99999 DOME PLATEAU DOME A AY -80.37 77.37 4084.0 19960201 20200624 895780 99999 DOME PLATEAU EAGLE AY -76.42 77.02 2830.0 20050303 20200624 895860 99999 MOUNT BROWN AY -69.117 85.98299999999999 2078.0 20040224 20111010 895920 99999 MIRNYJ AY -66.55 93.01700000000001 40.0 19730101 20200624 895980 99999 AGO-4 AY -82.01700000000001 96.76700000000001 3565.0 20130221 20200624 896000 99999 EDGEWORTH DAVID AY -66.25 100.6 6.0 20160503 20190430 896010 99999 OAZIC BANGERA AY -66.267 100.75 42.0 20140314 20200624 896060 99999 VOSTOK AY -78.45 106.867 3488.0 19730101 20200624 896100 99999 CAPE POINSETT AY -65.85 113.06700000000001 90.0 20040608 20180518 896110 99999 CASEY AY -66.283 110.53299999999999 42.0 19730101 20200624 896120 99999 CASEY SKIWAY AY -66.283 110.8 390.0 20010811 20080424 896140 99999 CASEY (UPPER PETERSON RUNWAY) AY -66.7 111.5 727.0 20030211 20200608 896150 99999 WILKINS RUNWAY EAST AY YWKS -66.683 111.53299999999999 755.0 20071016 20191009 896180 99999 CASEY (HALFWAY) AY -66.667 112.01700000000001 1074.0 20030211 20070112 896200 99999 EAST LAW DOME AWS AY -66.733 114.499 910.0 20050723 20140131 896250 99999 CONCORDIA AY -75.1 123.4 3233.0 20060207 20200624 896270 99999 AGO-5 AY -77.233 123.51700000000001 3084.0 20010730 20010924 896280 99999 AGO-1 AY -83.867 129.61700000000002 2865.0 20080605 20121218 896370 99999 AGO-6 AY -69.517 130.017 2560.0 20010812 20030825 896420 99999 DUMONT D'URVILLE AY -66.667 140.017 43.0 19850701 20200624 896430 99999 PORT MARTIN AY -66.817 141.38299999999998 39.0 19910924 20190212 896440 99999 STILLWELL ISLANDS(A AY -66.95 143.933 52.0 20041017 20120202 896460 99999 SITRY POINT AY -71.65 148.65 2094.0 20100310 20190507 896480 99999 MID POINT AY -75.533 145.86700000000002 2509.0 20060207 20200527 896570 99999 LENINGRADSKAYA AY -69.5 159.38299999999998 291.0 19730101 20161225 896590 99999 PRIESTLEY GLACIER AY -73.633 160.65 1924.0 20060207 20200624 896600 99999 YOUNG ISLAND AY -66.283 162.333 30.0 19910924 20010909 896610 99999 CAPE PHILLIPS AY -73.517 169.75 568.0 19950403 20200624 896620 99999 BASE BAIA TERRA NOVA AY -74.7 164.1 92.0 19950403 20200624 896630 99999 LAKE VANDA NZL-BASE AY -77.533 161.667 15.0 19730101 19970516 896640 87601 NSFA MCMURDO SOUND AY NZCM -77.883 166.733 24.1 20020901 20200624 896640 99999 MCMURDO AY NZCM -77.85 166.667 24.0 19730101 20041231 896650 99999 SCOTT BASE AY -77.85 166.75 94.0 20080201 20080201 896660 99999 CAPE ROSS AY -76.717 162.967 150.0 19950403 20200624 896670 99999 PEGASUS NORTH AY -77.95 166.5 10.0 19900501 20200514 896680 00414 PEGASUS FIELD AY NZPG -77.95 166.517 5.2 20050102 20170116 896680 99999 MCMURDO STATION PEGASUS FIELD AY NZPG -77.96300000000001 166.525 5.5 20010819 20081229 896690 99999 MCMURDO STATION ICE RUNWAY AY NZIR -77.854 166.46900000000002 0.3 20011001 20131129 896700 99999 WILLIAMS FIELD AY -77.867 167.05700000000002 20.7 20011207 20081231 896710 99999 SOUTH POLE STATION AY -89.98299999999999 0.0 2835.0 19730101 20081231 896740 99999 WILLIAMS FIELD AY NZWD -77.867 167.05700000000002 20.7 19801106 20200217 897050 99999 AGO-A81 AY -81.5 3.733 2410.0 19950701 19960612 897340 99999 DOME FUJI AY -77.317 39.7 3810.0 19970101 20200624 897440 99999 RELAY STAT AY -74.017 43.05 3353.0 19970101 20200624 897570 99999 MAWSON (LGB 20 AWS) AY -73.833 55.667 2741.0 19930801 20060428 897580 99999 MAWSON (LGB10 AWS) AY -71.3 59.217 2620.0 19960201 20060508 897620 99999 MAWSON (LGB 00 GE 03 AWS) AY -68.65 61.117 1830.0 19930801 20090815 897670 99999 G3 AY -70.9 69.867 84.0 20010811 20200624 897680 99999 MINNA BLUFF AY -78.55 166.65 920.0 19941207 20190116 897690 99999 LINDA AY -78.467 168.38299999999998 50.0 19940605 20200624 897740 99999 DAVIS (LGB 59 AWS) AY -73.45 76.783 2537.0 19960201 20040626 897990 99999 NICO AY -89.0 89.667 2935.0 19940601 20200624 898030 99999 CASEY (TRAVERSE GF08) AY -68.5 102.18299999999999 2123.0 19930801 20070711 898050 99999 CASEY (GC 46 AWS) AY -74.133 109.833 3070.0 19930801 20010430 898070 99999 SNYDER ROCKS AY -66.55 107.75 42.0 19960901 20190515 898090 99999 CASEY SKIWAY SOUTH AY -66.283 110.76700000000001 375.0 20050101 20200219 898100 99999 CASEY AIRSTRIP(AWS) AY -66.283 110.78299999999999 390.0 19930801 20020122 898110 99999 LAW DOME SUMMIT AY -66.733 112.833 1368.0 19930801 20200609 898120 99999 AO28 AWS SOUTH OF LAW DOME AY -68.4 112.21700000000001 1622.0 20010811 20060602 898130 99999 CASEY (TRAVERSE GC41) AY -71.6 111.26700000000001 2761.0 19930801 20051117 898140 99999 CASEY BALAENA ISLAN AY -66.017 111.083 8.0 19950101 20040910 898150 99999 HAUPT NUNATAK AY -66.583 110.7 63.0 20040405 20200603 898160 99999 LAW DOME SUMMIT SOUTH AWS AY -66.767 112.81700000000001 1376.0 20010811 20050302 898280 99999 DOME C II AY -75.117 123.367 3250.0 19900501 20200624 898320 99999 D-10 AY -66.717 139.833 243.0 19900501 20200624 898340 99999 D-47 AY -67.4 138.733 1560.0 19900501 20200624 898360 99999 D-85 AY -70.433 134.15 2651.0 19900501 19990727 898470 99999 UNIV. WI ID 8929 (PENGUIN POINT) AY -67.617 146.183 30.0 19970101 20090203 898600 99999 LYNN AY -74.233 160.283 1772.0 19900501 19980104 898610 99999 SANDRA AY -74.483 160.483 1525.0 19900501 19990623 898620 99999 SHRISTI AY -74.7 161.567 1200.0 19900501 19960930 898630 99999 GILL AY -80.033 -178.63299999999998 55.0 19900619 19970828 898640 99999 MANUELA AY -74.95 163.683 80.0 19900501 20200624 898650 99999 WHITLOCK AY -76.133 168.38299999999998 274.0 19900501 20200624 898660 99999 MARBLE POINT AY -77.433 163.75 84.0 19900501 20200624 898670 99999 UNIV. WI ID 8911 AY -77.5 167.15 3700.0 19900501 19910821 898680 99999 SCHWERDTFEGER AY -79.9 169.983 60.0 19900501 20200624 898690 99999 MARILYN AY -79.95 165.11700000000002 75.0 19900513 20200624 898720 99999 FERRELL AY -77.9 170.817 45.0 19900501 20200624 898730 99999 ELAINE AY -83.133 174.167 60.0 19940601 20200624 898790 99999 POSSESSION IS AY -71.883 171.2 30.0 19940601 20200624 899610 99999 STONINGTON AY -68.183 -67.017 14.0 19760303 19780706 899700 99999 AY 19760302 19760319 899710 99999 BROWN ARG-BASE AY -64.867 -62.867 7.0 19810601 19860619 899790 99999 NAME AND LOC UNKN US 0.0 0.0 -999.0 19760601 19760713 910660 22701 HENDERSON FIELD AIRPORT MQ UM PMDY 28.2 -177.38299999999998 5.5 19450401 20200625 910660 99999 MIDWAY ISLAND MQ HI PMDY 28.217 -177.36700000000002 3.0 20000101 20041231 911170 99999 KIPAPA FIELD HAWAII US HI PHHI 21.483 -158.033 256.0 19420617 19450927 911310 99999 MARCUS ISLAND 24.283 153.967 16.8 19510301 19551231 911550 99999 FRENCH FRIGATE SHOALS US 23.866999999999997 -166.283 2.0 19620918 20020519 911580 99999 PRINCEVILLE KAUAI HAWAII US 22.217 -159.45 98.0 19940902 20060321 911610 99999 KOKEE KAUAI HAWAII US 22.15 -159.65 1280.0 19730101 19910519 911620 22501 BARKING SANDS PACIFIC MISSILE RANGE FAC ARPT US HI PHBK 22.033 -159.783 7.0 19420422 20200625 911630 22526 PORT ALLEN ARPT US HI 21.9 -159.6 7.0 19740316 19991231 911630 99999 PORT ALLEN AIRPORT KAUAI HAWAII US 21.9 -159.6 7.0 20000101 20010102 911649 99999 LIHUE KAUAI ISL US HI 21.983 -159.333 31.0 19990114 19990930 911650 22536 LIHUE AIRPORT US HI PHLI 21.984 -159.341 30.5 19730101 20200625 911660 99999 MAKAHUENA POINT KAUAI HAWAII US 21.883000000000003 -159.417 16.0 19730101 19970604 911665 99999 KOLOA (CGS) US HI 21.866999999999997 -159.45 15.0 19400201 19411201 911670 99999 HANAPEPE KAUAI US 21.916999999999998 -159.65 52.0 19741008 19771008 911680 99999 KAPAA KAUAI HAWAII US 22.083000000000002 -159.317 88.0 19740316 19961204 911681 99999 WAIALUA-ON-OAHU US HI 21.583000000000002 -158.11700000000002 5.0 19420617 19451201 911690 99999 WAIALEE OAHU HAWAII US 21.683000000000003 -158.033 10.0 19411002 20000229 911700 22508 WHEELER ARMY AIRFIELD US HI PHHI 21.487 -158.028 257.9 19390601 20200625 911700 99999 WAHIAWA /WHEELER/SC US HI PHHI 21.483 -158.033 255.0 20000103 20041230 911720 99999 LUALUALEI OAHU US 21.433000000000003 -158.13299999999998 35.0 20090519 20090520 911760 22519 KANEOHE MCAS US HI PHNG 21.45 -157.768 7.3 19730101 20200625 911780 22514 KALAELOA ARPT US HI PHNA 21.316999999999997 -158.067 10.1 19730101 19991231 911780 22551 KALAELOA AIRPORT (JOHN RODGERS FIELD) US HI PHJR 21.316999999999997 -158.067 10.1 20060101 20200625 911780 99999 KALAELOA ARPT US HI PHJR 21.316999999999997 -158.067 15.0 20000101 20051231 911800 99999 HICKAM AFB/OAHU US HI 21.333000000000002 -157.95 4.0 19390601 19490801 911803 99999 HICKAM AFB US HI PHIK 21.316 -157.92700000000002 4.0 20010518 20160303 911810 99999 MAKIKI/MANOA/OAHU US HI 21.316999999999997 -157.817 67.0 20020616 20020616 911820 22521 HONOLULU INTERNATIONAL AIRPORT US HI PHNL 21.324 -157.929 2.1 19390601 20200625 911840 99999 WAIMANALO OAHU US 21.333000000000002 -157.717 18.0 19420218 20040930 911860 22534 MOLOKAI AIRPORT US HI PHMK 21.155 -157.096 135.0 20060101 20200625 911860 99999 MOLOKAI (AMOS) US HI PHMK 21.15 -157.1 137.0 19400129 20051231 911880 99999 PUKALANI FIRE STN US HI 20.833000000000002 -156.333 500.0 19740730 19760911 911890 99999 KAANAPALI MAUI HAWAII US 20.916999999999998 -156.683 -999.9 19730101 19860126 911900 22516 KAHULUI AIRPORT US HI PHOG 20.9 -156.429 15.5 19730101 20200625 911903 22516 KAHULUI AIRPORT US HI PHOG 20.9 -156.429 15.2 19450401 19721231 911904 22552 KAPTALUA AIRPORT US HI PHJH 20.963 -156.675 73.2 20060101 20200625 911904 99999 KAPALUA US HI PHJH 20.95 -156.667 78.0 19870326 20051231 911905 22524 LANAI AIRPORT US HI PHNY 20.79 -156.94899999999998 396.2 20060101 20200625 911905 99999 LANAI US HI PHNY 20.783 -156.95 399.0 19730101 20051231 911907 99999 HANA US HI PHHN 20.796 -156.014 23.8 19980201 20060116 911910 99999 KEAWAKAPU BEACH MAUI HAWAII US 20.7 -156.45 3.0 19730101 19820301 911940 99999 KAHOOLAWE HAWAII US 20.55 -156.583 366.0 19730101 19860729 911950 99999 UPOLU POINT (CG) HAWAII HAWAII US 20.25 -155.88299999999998 19.0 19730101 19810523 911961 99999 UPOLU ARPT/HAWAII US HI UPP 20.267 -155.86700000000002 31.0 19400807 19410501 911975 21510 KONA INTL AT KEAHOLE ARPT US HI PHKO 19.736 -156.049 13.1 20060101 20200625 911975 99999 KONA INTL AT KEAHOL US HI PHKO 19.733 -156.033 14.0 19730101 20051231 911976 99999 WAIMEA KOHALA US HI PHMU 20.000999999999998 -155.668 814.1 19410714 20071123 911977 21508 BRADSHAW ARMY AIRFIELD US HI PHSF 19.76 -155.554 1798.3 20060103 20200625 911977 99999 BRADSHAW AAF US HI PHSF 19.75 -155.55 1887.0 19730102 20051230 911978 99999 BRADSHAW AAF US HI 19.767 -155.55 1890.0 19770216 19780222 911990 99999 HAINA HAWAII HAWAII US 20.1 -155.467 140.0 19730101 19840107 912020 99999 ULITHI AWS CAROLINE IS. FM 10.2 139.8 2.0 20040608 20151123 912030 99999 FALALOP ISLAND (CG) ULITHI ATOLL FM 10.033 139.8 5.0 19450630 20200624 912040 99999 ULITHI ULITHI ATOLL CAROLINE IS. FM 10.033 139.8 2.0 19940719 20160124 912113 99999 WEST TINIAN CQ PGTI 15.0 145.63299999999998 82.0 19880106 19920623 912120 41415 GUAM INTERNATIONAL AIRPORT GQ GU PGUM 13.482999999999999 144.8 77.4 19730101 20200625 912170 99999 GUAM/MARIANA IS CQ PGAC 13.55 144.833 111.0 19730101 20010823 912180 41414 ANDERSEN AFB AIRPORT GQ GU PGUA 13.583 144.917 186.5 20050101 20200625 912180 99999 ANDERSEN AFB GQ PGUA 13.567 144.917 162.0 19480501 20041231 912210 41419 ROTA INTERNATIONAL AIRPORT CQ MP PGRO 14.172 145.243 179.2 20050101 20200625 912210 99999 ROTA INTL/ROTA ISL CQ PGRO 14.167 145.25 179.0 19930115 20041231 912213 99999 ROTA INTL/ROTA ISL CQ 14.167 145.233 185.0 19870219 19930111 912220 99999 PAGAN ISLAND AWS MARIANA IS. CQ 18.9 145.6 2.0 19730101 20061012 912310 41420 TINIAN INTERNATIONAL AIRPORT CQ MP PGWT 14.999 145.621 82.6 20050101 20200624 912320 41408 SAIPAN/ISLEY (CGS) CQ PGSN 15.117 145.733 4.0 19440710 19991231 912320 41418 FRANCISCO C. ADA/SAIPAN INTERNATIONAL ARPT CQ MP PGSN 15.117 145.717 65.5 20050101 20200625 912320 99999 SAIPAN/ISLEY (CGS) CQ PGSN 15.117 145.733 4.0 20000101 20041231 912324 99999 SAIPAN (CIVILIAN) CQ PGSF 15.117 145.733 3.0 19801130 19831014 912330 99999 SABANETTAN/TINIAN CQ PGNT 14.967 145.6 80.0 20030507 20030507 912333 41420 WEST TINIAN CQ MP PGWT 14.999 145.621 82.6 20050824 20200625 912333 99999 WEST TINIAN CQ 15.0 145.61700000000002 85.0 19910822 20041231 912340 99999 MAUG AWS MARIANA IS. CQ 20.05 145.217 50.0 20100323 20151125 912450 41606 WAKE ISLAND AIRFLD WQ PC PWAK 19.283 166.65 3.7 19451231 20100731 912450 99999 WAKE ISLAND AIRFLD WQ 19.283 166.65 4.0 20000101 20031231 912460 41606 WAKE ISLAND AIRFIELD WQ UM PWAK 19.283 166.65 7.0 20050101 20200625 912500 99999 ENEWETAK MARSHALL IS RM 11.35 162.35 5.0 19450630 20050204 912510 99999 ENIWETAK ATOLL AWS MARSHALL IS. RM 11.367 162.35 2.0 19910411 20090215 912540 99999 BIKINI ATOLL RM 11.517000000000001 165.55 3.0 19520926 19580727 912580 99999 UTIRIK ATOLL MARSHALL IS. RM 11.232999999999999 169.85 2.0 19580326 20191010 912590 99999 UTIRIK ATOLL AWS MARSHALL IS. RM 11.232999999999999 169.683 3.0 20040927 20160329 912750 21603 JOHNSTON ATOLL AIRPORT JQ UM PJON 16.733 -169.533 3.1 19450401 20041231 912750 99999 JOHNSTON ISLAND JQ PJON 16.733 -169.517 2.0 20000101 20040614 912760 99999 MAJURO MY PMAJ 7.067 171.267 2.0 20060303 20070725 912810 99999 KONA HAWAII IS. HAWAII US 19.65 -156.0 9.0 19730620 19961009 912830 99999 WAIKII HAWAII US 19.867 -155.65 1432.0 20020808 20020808 912834 99999 KAILUA HEIGHTS US HI 19.617 -155.967 -999.0 19801015 19831031 912840 99999 WAIKOLOA MAUKA HAWAII US 19.9 -155.75 480.0 20010930 20010930 912850 21504 HILO INTERNATIONAL AIRPORT US HI PHTO 19.719 -155.053 11.6 19730101 20200625 912853 21504 HILO GENERAL LYMAN ARPT US HI PHTO 19.719 -155.053 11.0 19430415 19451228 912870 99999 CAPE KUMUKAHI HAWAII US 19.517 -154.817 15.0 19940710 20010506 912890 99999 HALEMAUMAU CRATER HAWAII US 19.4 -155.283 1112.0 19730104 20020107 912910 99999 MAUNA LOA STRIP ROAD HAWAII US 19.467 -155.35 1645.0 20010902 20010902 912930 99999 SOUTH KONA HAWAII HAWAII US PHWH 19.1 -155.75 808.0 19731108 19831231 912940 99999 SOUTH POINT HAWAII US 19.0 -155.667 290.0 19930715 20020804 912944 99999 PAHALA-ON-HAWAII US HI 19.2 -155.483 -999.0 19801015 19831201 913140 99999 SONSOROL CAROLINE IS. PS 5.332999999999999 132.38299999999998 3.0 19730101 20140121 913150 99999 EAURIPIK CAROLINE IS. FM 6.683 143.083 3.0 19940227 20020404 913170 99999 WOLEAI ATOLL CAROLINE IS. FM 7.382999999999999 143.917 4.0 19730101 20200624 913200 99999 ONOUN FM 8.583 149.65 0.0 20070611 20200608 913240 99999 PULUWAT ATOLL AWS CAROLINE IS. FM 7.35 149.2 2.0 19730101 20200228 913250 99999 PULUSUK CAROLINE IS. FM 6.7 149.3 3.0 19921224 20150813 913280 99999 ULUI ATOLL (AMOS) FM 8.583 149.65 2.0 19920401 19981005 913290 99999 FANANU ISLAND FM 8.55 151.9 1.0 20040715 20200624 913340 40505 CHUUK INTERNATIONAL AIRPORT FM FM PTKK 7.4670000000000005 151.85 1.5 19451231 20200624 913360 99999 LOSAP ISLAND FM 6.882999999999999 152.717 2.0 20040714 20200624 913380 99999 SATAWAN ATOLL AWS CAROLINE ISLANDS FM 5.332999999999999 153.733 2.0 19730101 20011007 913390 99999 LUKUNOR ATOLL CAROLINE ISLANDS FM 5.5 153.817 3.0 19820101 20200624 913430 99999 OROLUK ATOLL AWS CAROLINE ISLANDS FM 7.632999999999999 155.167 3.0 19730101 20200124 913480 99999 POHNPEI INTL FM PTTP 6.985 158.209 3.0 20050101 20200624 913481 99999 POHNPEI WEATHER CENTER FM 6.9670000000000005 158.217 39.0 20040713 20200624 913500 99999 MWOAKILLO CAROLINE IS FM 6.667000000000001 159.783 2.0 20040715 20200624 913520 99999 PINGELAP ATOLL AWS CAROLINE IS. FM 6.2170000000000005 160.7 4.0 19920904 20050108 913530 99999 PINGELAP ATOLL CAROLINE IS. FM 6.2170000000000005 160.7 4.0 19730101 20200624 913540 99999 UJELANG CAROLINE IS. RM 9.767000000000001 160.983 3.0 19960126 20180427 913550 99999 KOSRAE ATOLL AWS CAROLINE IS. FM PTTK 5.35 162.95 2.0 19920301 20040307 913555 40509 POHNPEI INTERNATIONAL AIRPORT FM FM PTPN 6.983 158.2 2.7 20190627 20200624 913560 00493 KOSRAE FM FM PTSA 5.354 162.953 2.6 20050101 20200624 913560 99999 KOSRAE FM PTSA 5.357 162.958 3.4 19510221 20180520 913640 99999 ROI-NAMUR RM 9.4 167.467 4.0 20161204 20161204 913650 99999 UJAE ATOLL AWS MARSHALL IS. RM 8.9 165.733 2.0 19910325 20020820 913660 40604 BUCHOLZ AAF KWAJALEIN KMR ATOL AP RM MH PKWA 8.732999999999999 167.733 2.1 19440214 20200624 913670 99999 AILINGLAPALAP ATOLL MARSHALL IS. RM 7.267 168.833 3.0 19730101 20200624 913680 99999 AILINGLAPLAP MARSHALL IS. RM 7.267 168.833 2.0 19930209 20150930 913690 99999 JALUIT ATOLL MARSHALL IS. RM 5.917000000000001 169.65 3.0 19730111 20200623 913691 99999 MAJURO ATOLL WEATHER CENTER RM PKMR 7.082999999999999 171.13299999999998 4.0 20040713 20200624 913710 99999 WOTJE ATOLL MARSHALL IS. RM 9.467 170.25 3.0 19730102 20200619 913740 99999 MALEOLAP ATOLL AWS MARSHALL IS. RM 8.9 170.85 3.0 19960812 20040403 913750 99999 MAJURA MARSHALL IS. RM 7.117000000000001 171.35 0.0 19930116 20121206 913760 00492 MARSHALL ISLANDS INTERNATIONAL AIRPORT RM MH PKMJ 7.065 171.27200000000002 1.8 20050101 20200624 913770 99999 MILI ATOLL AWS MARSHALL IS. RM 6.1 171.4 2.0 19910501 19980831 913780 99999 MILI ATOLL MARSHALL IS. RM 6.082999999999999 171.733 4.0 19730101 20200622 913850 99999 PALMYRA ISLAND LQ PLPA 5.882999999999999 -162.05 2.0 19450201 19990804 914080 40309 BABELTHUAP/KOROR AIR PS PC PTKR 7.332999999999999 134.483 33.2 19470630 20091231 914080 40310 BABELTHUAP/KOROR AIRPORT PS PW PTRO 7.367000000000001 134.54399999999998 53.6 20050101 20200625 914081 40309 WEST CAROLINE ISLANDS PACIFIC PS PW PTKR 7.332999999999999 134.483 32.2 20110101 20180731 914081 99999 KOROR PALAU / NWS PS PTKR 7.33 134.483 30.0 20050101 20101231 914100 99999 TOBI ISLAND CAROLINE IS. PS 3.017 131.183 5.0 19730124 20190721 914110 99999 NGULU CAROLINE IS. FM 8.3 137.483 3.0 19930214 19990705 914130 40308 YAP INTERNATIONAL AIRPORT FM FM PTYA 9.482999999999999 138.083 13.4 19480902 20200624 914240 99999 MIDDLE PT(RESEARCH) AS -12.567 131.3 10.0 19961123 20021009 914250 99999 NUKUORO ATOLL CAROLINE IS. FM 3.85 155.017 4.0 19730102 20200624 914340 99999 KAPINGAMARANGI ATOLL CAROLINE IS. FM 1.083 154.767 3.0 19580401 20200624 914420 99999 EBON ATOLL AWS MARSHALL IS. RM 4.6 168.683 3.0 19730130 19980831 914870 99999 FANNING ISLAND KR PLFA 3.85 -159.36700000000002 5.0 19430421 20150621 914900 99999 CHRISTMAS ISLAND KR PLCH 1.986 -157.35 1.5 19411103 20200624 914920 99999 CHRISTMAS ISLAND KT 2.0 -157.4 3.0 20010630 20181104 915020 99999 TARO ISLAND BP -6.7 156.38299999999998 3.0 19751201 20200624 915030 99999 MUNDA BP AGGM -8.328 157.263 3.0 19431130 20200624 915070 99999 AUKI BP -8.783 160.733 11.0 19730101 20200624 915170 99999 HONIARA BP -9.417 159.967 56.0 19491115 20200624 915190 99999 HONIARA/NTF/AWS BP -9.43 159.97 0.0 20050419 20111128 915200 99999 HONIARA INTL BP AGGH -9.427999999999999 160.055 8.5 19430316 20200624 915270 99999 KIRA KIRA BP -10.417 161.917 3.0 19730102 20080127 915300 99999 NAURU NR ANAU -0.5 166.917 6.0 19510101 20091214 915310 99999 NAURU NR -0.531 166.917 0.0 19980301 20130724 915320 99999 NAURU ARC-2 NR -0.517 166.917 7.0 20030210 20130917 915330 99999 BANABA KR -0.9 169.533 66.0 19730101 20151009 915410 99999 SANTA CRUZ ISLAND BP AGGL -10.7 165.8 24.0 19730101 20200624 915500 99999 LINUA AIRPORT AWS (TORRES IS.) NH -13.317 166.61700000000002 5.0 19910701 20191111 915510 99999 SOLA/VANUA LAVA ISL NH NVSC -13.85 167.55 18.0 19481201 20200624 915515 99999 LONGANA AIRPORT NH NVSG -15.3 167.967 51.0 20100901 20200603 915540 99999 SANTO PEKOA INTL NH NVSS -15.501 167.22299999999998 56.1 19730101 20200624 915550 99999 LAMAP/MALEKOULA ISL NH NVSL -16.417 167.8 26.0 19730101 20200405 915570 99999 PORT VILA BAUERFIELD NH NVVV -17.699 168.32 21.3 19850701 20200624 915580 99999 PORT VILA/BAUERFLD NH NVVV -17.75 168.3 18.0 19470831 19900112 915590 99999 POINT VITA/NTF/AWS NH -17.757 168.3 0.0 20050419 20120514 915600 99999 LENAKEL NH NVVK -19.5 169.233 70.0 19990623 19990725 915620 99999 ERROMANGO ISLAND NH -18.783 168.817 198.0 19480501 20200428 915650 99999 TANNA NH NVVW -19.455 169.22400000000002 5.8 19730101 20200624 915680 99999 ANEITYUM NH -20.233 169.767 7.0 19480801 20200624 915700 99999 ILE SURPRISE NC -18.483 163.083 5.0 19730101 20200624 915710 99999 TIEBAGHI RADAR NC -20.46 164.215 595.0 20160112 20181128 915730 99999 ILE ART (BELEP) NC -19.717 163.65 84.0 20010915 20200611 915740 99999 ILE LOOP (CHESTERFIELD) NC -19.967 158.483 4.0 19730812 20200624 915770 99999 KOUMAC NC NWWK -20.546 164.25599999999997 12.8 19430331 20200601 915790 99999 OUVEA NC NWWV -20.641 166.57299999999998 7.0 19730101 20200624 915820 99999 LIFOU NC NWWL -20.775 167.24 28.0 19730101 20200305 915830 99999 POINDIMIE (NLLE-CALEDONIE) NC -20.933000000000003 165.317 13.0 19730101 20200127 915870 99999 MARE NC NWWR -21.482 168.03799999999998 43.0 19730101 20200617 915900 99999 LA TONTOUTA NC NWWW -22.015 166.213 15.8 19421231 20200624 915915 99999 MAGENTA NC NWWM -22.258000000000003 166.47299999999998 3.0 20060710 20101001 915920 99999 NOUMEA NC NWWN -22.267 166.45 72.0 19450831 20200514 915925 99999 TOUHO NC NWWU -20.79 165.25900000000001 3.0 20061010 20200618 915960 99999 ILE DES PINS NC NWWE -22.589000000000002 167.456 96.0 19730101 20200624 915980 99999 MATTHEW (ILOT) NC -22.333000000000002 171.333 27.0 19800301 20200302 916010 99999 BUTARITARI ATOLL KR NGTU 3.033 172.783 1.0 19431207 20200624 916020 99999 TARAWA / BETIO KR NGTT -0.883 169.533 3.0 20040817 20200527 916090 99999 TARAWA/BONRIKI AI KR 1.35 172.917 4.0 20040716 20040716 916100 99999 BONRIKI INTL KR NGTA 1.382 173.14700000000002 2.7 19440227 20200624 916110 99999 TARAWA TIDE AWS KR 1.35 172.933 -999.9 19971001 20110928 916120 99999 BONRIKI AIRPORT KR 1.383 173.15 2.0 20010915 20200624 916230 99999 BERU ISLAND KR NGBR -1.35 176.0 3.0 19730101 20200624 916290 99999 ARORAE ISLAND KR NGTR -2.667 176.833 7.0 19730101 20200624 916310 99999 NANUMEA ISLAND TV NGFO -5.667000000000001 176.13299999999998 3.0 19431112 20200624 916360 99999 NUI TV -7.233 177.15 2.0 19730102 20200624 916420 99999 FUNAFUTI TV -8.5 179.217 -999.9 19971001 20171010 916430 80705 FUNAFUTI INTL ARPT TV NGFU -8.517000000000001 179.217 2.0 19430720 20200624 916430 99999 FUNAFUTI INTL ARPT TV NGFU -8.517000000000001 179.217 2.0 20000101 20041231 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NORTHFIELD RESEARCH CENTRE AS -34.85 138.65 77.0 19711231 19821030 949999 00114 MALLALAAMO AS -34.42 138.5 44.0 19420120 19531231 949999 00115 KAPUNDA POST OFFICE AS -34.35 138.92 245.0 19561231 19631231 949999 00116 TURRET FIELD RESEARCH CENTRE AS -34.55 138.83 116.0 19611231 19821031 949999 00117 BELAIR (KALYRA) AS -35.0 138.62 304.8 19620101 19631231 949999 00118 MOUNT BARKER POST OFFICE AS -35.07 138.87 330.0 19561231 19631231 949999 00119 MYPONGA POST OFFICE AS -35.4 138.47 226.0 19561231 19631231 949999 00120 STIRLING AS -35.03 138.72 496.2 19561231 19640630 949999 00121 STRATHALBYN POST OFFICE AS -35.27 138.88 71.0 19561231 19631230 949999 00122 LENSWOOD RESEARCH CENTRE AS -34.95 138.82 457.0 19711231 19821030 949999 00123 BERRI IRRIGATION AS -34.28 140.6 65.5 19611231 19631231 949999 00124 WAIKERIE (E&WS) AS -34.18 140.0 30.0 19570101 19720428 949999 00125 BERRI POST OFFICE AS -34.28 140.6 31.7 19611231 19641231 949999 00126 WAIKERIEAERO AS -34.18 140.02 54.9 19700111 19711201 949999 00127 WAIKERIE (GOLDEN HEIGHTS)WAS AS -34.2 139.95 58.0 19720103 19820929 949999 00128 TAILEMBEND AS -35.25 139.45 21.0 19610203 19641231 949999 00129 CALIPHCSIRO AS -34.63 140.25 61.0 19740731 19820929 949999 00130 KYBYBOLITE AS -36.88 140.93 91.0 19711231 19821030 949999 00131 LUCINDALE POST OFFICE AS -36.98 140.37 31.0 19611231 19631231 949999 00132 MOUNT BURR FOREST RESERVE AS -37.57 140.43 64.0 19561231 19820930 949999 00133 CAPE JAFFA LIGHT HOUSE AS -36.95 139.58 14.0 19641231 19730228 949999 00134 KONETTAEWS AS -37.27 140.12 11.0 19701202 19810629 949999 00135 STRUAN RESEARCH CENTRE AS -37.1 140.8 37.0 19740331 19820930 949999 00136 PADTHAWAY (LINDEMANS) AS -36.6 140.48 37.0 19820430 19821031 949999 00137 KARUMBA FLYING BASE AS -17.47 140.83 9.0 19401130 19501231 949999 00138 TOORAKFIELD STATION AS -21.03 141.8 144.0 19680630 19820629 949999 00139 MOUNT ISA POST OFFICE AS -20.73 139.48 357.5 19561231 19641231 949999 00140 MOUNT ISAMINES AS -20.73 139.5 386.6 19641231 19820930 949999 00141 MOUNT SURPRISE AS -18.15 144.32 453.0 19561231 19780910 949999 00142 COOKTOWNAMO AS -15.47 145.25 5.5 19390331 19460617 949999 00143 HERBERTON POST OFFICE AS -17.38 145.38 899.0 19561231 19631231 949999 00144 KAIRI RESEARCH STATION AS -17.2 145.57 715.0 19641231 19820929 949999 00145 MAREEBAQWRC AS -17.0 145.43 335.0 19561231 19820830 949999 00146 PARADA RESEARCH STATION AS -17.15 145.25 484.6 19641231 19760629 949999 00147 KOOMBOOLOOMBADAM AS -17.83 145.6 732.0 19650731 19821030 949999 00148 FITZROY ISLAND AS -16.93 146.0 106.7 19680630 19821031 949999 00149 WALKAMINDPI AS -17.13 145.43 591.0 19680630 19821030 949999 00150 SOUTH JOHNSTON EEXP STATION AS -17.6 146.0 180.0 19730831 19820530 949999 00151 PIN-GINHILL AS -17.53 145.8 39.6 19641231 19661231 949999 00152 TOWNSVILLE (ROSS RIVER) AS -19.3 146.78 19390331 19401031 949999 00153 AYRDPI RESEARCH STATION AS -19.62 147.38 10.0 19641231 19821030 949999 00154 HAYMAN ISLAND AS -20.05 148.88 3.4 19790930 19821031 949999 00155 MACKAY AIRPORT /MO1943-1945 AS -21.17 149.18 6.0 19561231 19591225 949999 00156 MACKAY (TEKOWAI SUGAR EXP.STATION) AS -21.17 149.12 14.0 19681130 19820930 949999 00157 MILLAROO AS -20.07 147.28 44.0 19711231 19820830 949999 00158 THEODORE (BRIGALOWRES.STN.N AS -24.83 149.8 155.0 19680630 19821030 949999 00159 ISISFORD POST OFFICE AS -24.27 144.43 205.0 19561231 19820929 949999 00160 LONGREACH POST OFFICE AS -23.45 144.25 191.4 19561231 19641231 949999 00161 BILOELADPI RESEARCH STATION AS -24.4 150.52 173.0 19661231 19840730 949999 00162 BULBURIN FORESTRY AS -24.53 151.47 602.0 19561231 19631231 949999 00163 KALPOWAR FORESTRY AS -24.7 151.32 339.0 19611231 19631231 949999 00164 THEODOREQWRC AS -24.95 150.08 141.0 19750101 19840430 949999 00165 HERON ISLAND AS -23.45 151.92 5.0 19611231 19791231 949999 00166 BUNDABERGAERO AS -24.9 152.32 31.4 19420208 19710104 949999 00167 NORTH REEF LIGHT HOUSE AS -23.18 151.9 3.0 19641231 19771217 949999 00168 NARAYEN (SPEARGRASS) AS -25.68 150.85 280.0 19700403 19840429 949999 00169 CALOUNDRA SIGNAL STATION AS -26.8 153.15 57.0 19700906 19840630 949999 00170 GATTON (LAWES) AS -27.55 152.33 29.0 19711231 19840429 949999 00171 IMBIL FORESTRY AS -26.47 152.67 105.0 19680101 19840629 949999 00172 SOMERSET DAM AS -27.12 152.55 110.0 19561231 19631231 949999 00173 SOUTHPORT AS -27.95 153.4 21.0 19561231 19631231 949999 00174 MOUNT TAMBORINE AS -27.98 153.2 525.0 19561231 19631231 949999 00175 ARCHER FIELD AIRPORT AS -27.57 153.0 11.0 19390331 19491117 949999 00176 SAMFORDCSIRO AS -27.37 152.88 53.0 19710519 19840430 949999 00177 ORMISTON (REDLANDS)H.R.S. AS -27.53 153.25 11.0 19730228 19840430 949999 00178 COOLANGATTAAERO AS -28.17 153.5 6.0 19611231 19711231 949999 00179 KIRKLEAGH AS -27.03 152.57 104.0 19711231 19840430 949999 00180 MOGGILLVET. 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12.120999999999999 120.1 45.1 20161113 20161113 985260 99999 CORON RP 12.217 120.2 60.0 19490121 20200624 985310 99999 SAN JOSE RP RPUH 12.362 121.04700000000001 4.3 19450717 20200624 985360 99999 ROMBLON RP 12.583 122.28299999999999 47.0 19490101 20200624 985361 41231 CUBI POINT NAVAL AIR STATION RP RPMB 14.8 120.26700000000001 18.3 20160517 20160517 985370 99999 KALIBO/AKLAN RP RPVK 11.683 122.383 6.0 20151022 20200506 985375 99999 KALIBO/PANAY ISLAND RP RPVK 11.683 122.367 7.0 19841210 19850111 985380 99999 ROXAS RP RPVR 11.597999999999999 122.75200000000001 3.0 19490126 20200624 985430 99999 MASBATE RP RPVJ 12.369000000000002 123.62899999999999 7.9 19490104 20200624 985450 99999 CALBAYOG/WESTERN RP RPVC 12.067 124.53299999999999 3.0 20101030 20171216 985455 99999 CALBAYOG/SAMAR ISL RP RPVC 12.083 124.55 3.0 19841210 19850111 985460 99999 CATARMAN RP RPVF 12.502 124.63600000000001 1.8 19490101 20200624 985480 99999 CATBALOGAN RP RPVY 11.783 124.883 5.0 19730101 20200624 985500 99999 DANIEL Z ROMUALDEZ RP RPVA 11.228 125.02799999999999 3.0 19441022 20200624 985530 99999 BORONGAN RP RPVW 11.667 125.45 3.0 19590101 20200624 985580 99999 GUIUAN RP RPVG 11.036 125.742 2.1 19740103 20200624 986020 99999 NANSHAN ISLAND RP 10.72 115.82 0.0 19830813 20101103 986180 99999 PUERTO PRINCESA RP RPVP 9.742 118.759 21.6 19450331 20200624 986300 99999 CUYO RP RPLO 10.85 121.0 4.0 19490106 20200624 986370 99999 ILOILO RP RPVI 10.713 122.541 8.2 19450602 20160509 986395 99999 BACOLOD/NEGROS ISL RP RPVB 10.65 122.93299999999999 6.0 19840926 19850111 986420 99999 DUMAGUETE RP RPVD 9.334 123.3 4.6 19490101 20200624 986440 99999 TAGBILARAN RP RPVT 9.664 123.853 11.6 19730101 20200624 986445 99999 MEDILLIN-CEBU RP RPVN 11.16 123.95 15.0 20110404 20170602 986450 99999 LAHUG RP 10.333 123.9 35.0 19490101 19780802 986460 99999 MACTAN CEBU INTL RP RPVM 10.308 123.979 9.4 19650731 20200624 986480 99999 MAASIN RP RPSM 10.133 124.867 72.0 19730727 20200624 986530 99999 SURIGAO RP RPMS 9.783 125.48299999999999 55.0 19490102 20200624 986545 99999 TANDAG RP RPMW 9.072000000000001 126.171 4.9 19841210 19850111 987410 99999 DIPOLOG RP RPMG 8.601 123.334 3.7 19590101 20200624 987420 99999 PAGADIAN RP RPMP 7.827000000000001 123.458 1.5 20200325 20200505 987425 99999 PAGADIAN/MINDANAO RP RPWP 7.832999999999999 123.45 2.0 19840926 19900921 987445 99999 OZAMIS/MISAMIS RP RPWI 8.167 123.85 10.0 19840926 19850111 987450 99999 MALABANG RP RPMM 7.617000000000001 124.059 8.0 20181023 20181023 987455 99999 MALABANG RP RPWM 7.617000000000001 124.05 8.0 19440914 19840926 987460 99999 COTOBATO RP RPMC 7.167000000000001 124.21700000000001 62.0 19490101 20200624 987461 99999 COTABATO/MINDANAO RP RPWC 7.233 124.25 17.0 19840912 19850111 987470 99999 LUMBIA AIRPORT RP 8.417 124.617 188.0 19770401 20200508 987480 99999 CAGAYAN DE ORO RP RPML 8.482999999999999 124.65 6.0 19490101 20191009 987510 99999 MALAYBALAY RP RPMY 8.15 125.133 627.0 19490101 20200624 987520 99999 BUTUAN RP RPME 8.95 125.48299999999999 46.0 19810101 20200624 987530 99999 FRANCISCO BANGOY INTL RP RPMD 7.126 125.646 29.3 19740601 20200624 987540 99999 DAVAO RP 7.067 125.6 19.0 19490101 19751111 987550 99999 HINATUAN RP 8.367 126.333 3.0 19491001 20200624 988300 99999 JOLO RP RPMJ 6.05 121.0 13.0 19490101 19900921 988360 99999 ZAMBOANGA INTL RP RPMZ 6.922000000000001 122.06 10.1 19450312 20200624 988485 99999 ALLAH VALLEY RP RPMA 6.367000000000001 124.751 200.9 19840926 20191215 988510 41231 CUBI POINT NAVAL AIR STATION RP RPMB 14.8 120.26700000000001 18.3 20050101 20200624 988510 99999 GEN. SANTOS RP RPMB 6.05 125.1 133.0 19730101 20180501 990010 99999 CARRIZAL 10.35 -65.017 19600101 19661231 990055 99999 BUOY 32321 / ARGOS 11116 0.0 -94.98299999999999 3.0 20180101 20180425 990056 99999 BUOY 32323 / ARGOS 11120 0.0 -109.9 3.0 20180101 20180425 990058 99999 BUOY 51011 / ARGOS 17652 -0.183 -124.4 3.0 20180101 20180425 990060 99999 BUOY 51311 / ARGOS 6471 0.1 -140.0 3.0 20180101 20180425 990061 99999 BUOY 52079 / ARGOS 3781 0.1 147.0 3.0 19291001 19381001 990062 99999 ENVIRONM BUOY 52081 US 0.0 138.0 0.0 20041227 20041227 990063 99999 BUOY 52085 / ARGOS 7883 0.0 156.0 3.0 20180101 20180425 990065 99999 BUOY 52321 / ARGOS 989 0.0 165.0 3.0 20180101 20180425 990066 99999 ENVIRON BUOY 52303 0.0 170.0 0.0 20041103 20041103 990074 99999 ATLAS BUOY 15002 / JAVA 0.0 -10.0 3.0 20180101 20180425 990075 99999 ENVIRON BUOY 15004 0.0 -23.0 0.0 20041001 20041001 990076 99999 ENVIRON BUOY 31001 0.0 -35.0 0.0 20041110 20041110 990080 99999 MOORED BUOY 43011 12.0 -95.0 0.0 19730102 19960304 990093 99999 ENVIRONM BUOY 52001 US 2.0 165.0 0.0 20180101 20180425 990100 99999 ENVIRONM BUOY 52301 2.0 147.0 0.0 20040909 20041230 990113 99999 ENVIRON BUOY 15005 -2.0 -10.0 0.0 20040923 20040923 990115 99999 ATLAS BUOY / FREVO US 4.0 -38.0 0.0 20041016 20041016 990142 99999 ATLAS BUOY 15006 / VALSE -6.0 -10.0 3.0 20180101 20180326 990154 99999 BUOY 52087 / ARGOS 1132 7.6 136.7 3.0 20180101 20180425 990158 99999 BUOY 32305 / ARGOS 15809 -7.983 -95.26700000000001 3.0 20180101 20180425 990166 99999 BUOY 62094 / M5 SOUTH EAST US 51.65 -6.7 5.0 20080101 20081231 990170 99999 SHIP C7L/LIMA US 57.0 -20.0 0.0 19750716 20020601 990174 99999 BUOY 51028 KR 0.0 -153.91299999999998 0.0 20040907 20081231 990179 99999 NORTH MID GULF 110NM SOUTH OF GRAND ISLE US 27.5 -90.46 0.0 20040907 20041231 990180 99999 SHIP C7M/MIKE US 66.0 2.0 10.0 19730101 20041224 990181 99999 DATA BUOY 46008 US 57.1 -151.7 10.0 20041129 20041227 990200 99999 AMI -RESEARCH VESSE 71.5 19.0 0.0 20160202 20160212 990210 99999 DISCONTINUED 810622 CA C7P 50.0 -145.0 0.0 19730101 19810624 990230 99999 SHIP C7R/ROMEO US 47.0 -17.0 0.0 19750716 20020303 990250 99999 SHIP C7T/TANGO US 29.0 135.017 0.0 19750822 19970607 990900 99999 FORMER MIKE 66.0 2.0 0.0 20160202 20160212 990920 99999 FIXED US 9.2 101.4 0.0 20010123 20130430 991180 99999 RUSSIAN ICE ISLAND US 0.0 0.0 0.0 20011104 20011104 991190 99999 RUSSIAN ICE ISLAND US 0.0 0.0 0.0 20020329 20020329 991200 99999 RUSSIAN ICE ISLAND US 0.0 0.0 0.0 20020516 20020516 992000 99999 DATA BUOY 42037 US 24.5 -81.4 3.0 19950114 19961119 992010 99999 DRIFTING NOMAD BUOY 41001 19771002 20081231 992011 99999 WILMINGTON HARBOR US NC 33.721 -78.015 3.0 20180101 20180425 992012 99999 OREGON INLET US NC 35.75 -75.33 3.0 20180101 20180425 992013 99999 HILO US HI 19.78 -154.97 3.0 20180101 20180425 992014 99999 CAPE CHARLES US VA 37.023 -75.81 3.0 20180101 20180406 992016 99999 RINCON RQ 18.375999999999998 -67.28 3.0 20180209 20180425 992017 99999 RITIDIAN POINT GQ 13.683 144.812 3.0 20180101 20180425 992020 99999 NW HAWAII 170 NM WEST NORTHWEST OF KAUAI US 23.43 -162.21 0.0 19810625 20180425 992022 99999 CARR INLET US WA 47.28 -122.73 3.0 20180118 20180425 992024 99999 WEST INDIES 15.85 -57.467 3.0 20180101 20180425 992025 99999 PAUWELA MAUI US HI 21.019000000000002 -156.42700000000002 3.0 20180101 20180425 992029 99999 BUOY 62170 51.4 2.0 3.0 20180101 20180425 992030 99999 GULF OF AK 88NM SOUTH OF KODIAK AK US 56.3 -148.17 0.0 19760916 20180425 992031 99999 BUOY 63056 59.7 1.6 3.0 20180101 20180425 992032 99999 BUOY 63057 59.2 1.5 3.0 20180101 20180425 992037 99999 BUOY 62149 53.7 1.3 3.0 20180101 20180425 992039 99999 BUOY 62153 57.3 2.0 3.0 20180101 20180425 992040 99999 MID GULF 180 NM SOUTH OF SOUTHWEST PASS US 25.84 -89.66 0.0 19771021 20180425 992041 99999 BUOY 62154 56.4 2.2 3.0 20180101 20180425 992042 99999 BUOY 62155 57.7 0.7 3.0 20180101 20180425 992043 99999 BUOY 64041 60.7 -2.6 3.0 20180101 20180425 992044 99999 BUOY 66021 54.9 13.9 3.0 20180101 20180109 992050 99999 CALIFORNIA - 357NM WEST OF SAN FRANCISCO US 37.98 -130.0 0.0 19771026 20180425 992060 99999 ENVIRONM BUOY 46041 US DB20 47.4 -124.5 3.0 19790914 19970303 992070 99999 HOTEL 200NM EAST OF CAPE MAY NJ US 38.47 -70.56 0.0 19771026 20081231 992080 99999 BUZZARD'S BAY US 41.4 -71.08 12.0 19800120 20041025 992090 99999 MID SUPERIOR 60NM NORTH NORTHEAST HANCOC US 48.07 -87.78 183.0 19790815 20081114 992100 99999 DATA BUOY 44019 US 36.4 -75.2 3.0 19810630 20030724 992110 99999 E SUPERIOR 200NM EAST NORTHEAST OF HANCO US 47.57 -86.55 183.0 19801029 20081114 992120 99999 BILOXI 22 NM SOUTH-SOUTHEAST OF BILOXI US 30.09 -88.77 0.0 19810214 20081231 992130 99999 W SUPERIOR 48NM NORTH OF IRONWOOD MI US 47.35 -89.83 183.0 19820330 20081114 992140 99999 S MICHIGAN 43NM EAST SOUTHEAST OF MILWAU US 42.68 -87.03 176.4 19810715 20081106 992150 99999 S HATTERAS - 250 NM EAST OF CHARLESTON US 32.0 -75.083 0.0 19771004 20180425 992160 99999 OREGON - 275NM WEST OF COOS BAY OR. US 42.58 -130.36 0.0 19780201 20180425 992170 99999 S ALEUTIANS US 51.83 -155.85 3.0 19780101 20020618 992180 99999 N MICHIGAN- HALFWAY BETWEEN NORTH MANITO US 45.33 -86.42 176.4 19791016 20081108 992190 99999 MIDDLE NOMAD CA 50.93 -136.1 3.0 19771112 20180425 992200 99999 SE PAPA - 600NM WEST OF EUREKA CA. US 40.8 -137.48 0.0 19780201 20180406 992210 99999 WASHINGTON 315NM WEST OF ABERDEEN WA US 46.05 -131.02 0.0 19771210 20180425 992220 99999 S HURON 43NM EAST OF OSCODA MI US 44.28 -82.42 177.0 19820419 20081213 992230 99999 N HURON 37NM NORTHEAST OF ALPENA MI. US 45.35 -82.84 177.0 19810913 20081123 992240 99999 W ERIE 28NM NORTHWEST OF CLEVELAND OH US 41.68 -82.4 173.9 19800906 20081205 992250 99999 DATA BUOY 42011 US 29.6 -93.5 3.0 19820701 20011202 992260 99999 MOORED BUOY 21002 US 37.7 134.3 0.0 19821209 20030330 992270 99999 MOORED BUOY 21003 US 34.7 139.5 0.0 19830625 19890309 992280 99999 MOORED BUOY 21004 US 29.0 135.0 1.0 19821209 20000713 992290 99999 ST GEORGES - 8NM WEST NORTHWEST OF CRESC US 41.85 -124.38 0.0 19820914 20180425 992300 99999 MOORED BUOY 22001 28.3 126.0 0.0 19830308 20040216 992310 99999 PT. SAN LUIS CA - 18 NM SOUTH SOUTHWEST US 35.1 -121.01 0.0 19830811 20041121 992320 99999 ENVIRONM BUOY 42008 US 28.7 -95.3 10.0 19820208 19950404 992330 99999 DATA BUOY 42009 US 29.3 -87.5 10.0 19820330 20020510 992340 99999 ENVIRONM BUOY 44002 US 40.1 -73.0 1.0 19780201 20040901 992350 99999 DATA BUOY 44010 US 36.9 -75.7 3.0 19780210 20080113 992360 99999 GEORGES BANK 170 NM EAST OF HYANNIS MA US 41.11 -66.62 0.0 19850312 20180325 992370 99999 COL RIVER BAR - 78NM SOUTH SOUTHWEST OF US 46.144 -124.51 0.0 19841011 20180425 992380 99999 CAPE SAN MARTIN - 55NM WEST NORTHWEST OF US 35.74 -121.89 0.0 19850507 20180425 992390 99999 DATA BUOY 41018 US 15.0 -75.0 3.0 19780306 20011221 992400 99999 DELAWARE BAY 26 NM SOUTHEAST OF CAPE MAY US 38.46 -74.7 0.0 19850312 20180425 992410 99999 MONTEREY - 27NM WEST OF MONTEREY BAY CA US 36.75 -122.42 0.0 19771027 20180425 992420 99999 BOSTON 16 NM EAST OF BOSTON MA US 42.35 -70.69 0.0 19850312 20180425 992430 99999 SW HAWAII 215 NM SOUTH SOUTHWEST OF HILO US 17.14 -157.79 0.0 19780626 20180425 992440 99999 E GULF 260 NM SOUTH OF PANAMA CITY FL US 26.01 -85.91 0.0 19780201 20180425 992450 99999 ENVIRONM BUOY 32301 US -10.0 -105.0 3.0 19780201 19960305 992460 99999 DATA BUOY 46010 US 46.2 -124.2 12.0 19800115 19990123 992470 99999 ENVIRONM BUOY 41021 US 31.9 -80.9 3.0 19820310 19940913 992480 99999 HALF MOON BAY - 24NM SOUTH SOUTHWEST OF US 37.36 -122.88 0.0 19810103 20180425 992490 99999 BODEGA BAY - 48NM NORTH NORTHWEST OF SAN US 38.23 -123.32 0.0 19810717 20180425 992500 99999 PT ARENA - 19NM NORTH OF POINT ARENA CA US 39.22 -123.97 0.0 19820208 20180425 992510 99999 ENVIRONM BUOY 46015 US 62.033 -168.983 3.0 19920305 19950408 992520 99999 DATA BUOY 46016 US 63.3 -170.3 3.0 19821209 19940709 992530 99999 DATA BUOY 51027 US 20.4 -157.1 3.0 19821209 19921105 992540 99999 DATA BUOY 46018 US 60.3 -177.0 3.0 19820312 20030703 992550 99999 DATA BUOY 46019 US 57.2 -170.3 3.0 19821209 19970406 992560 99999 DATA BUOY 46020 US 55.9 -168.0 3.0 19821209 20040926 992570 99999 DATA BUOY 46021 US 57.7 -160.0 3.0 19820712 19940905 992580 99999 PT ARGUELLO - 17NM WEST NORTHWEST OF POI US 34.71 -120.97 0.0 19821209 20081231 992590 99999 ENVIRONM BUOY 46024 US 32.8 -119.5 3.0 19821209 19960314 992600 99999 SANTA MONICA BASIN - 33NM WEST SOUTHWEST US 33.75 -119.08 0.0 19821209 20180425 992610 99999 W HAWAII 205 NM SOUTHWEST OF HONOLULU H US 19.16 -160.74 0.0 19780821 20180425 992620 99999 SE HAWAII 185 NM SOUTHEAST OF HILO HI US 17.52 -152.48 0.0 19850312 20180425 992630 99999 DATA BUOY 44003 US 40.8 -68.5 3.0 19780206 20080830 992640 99999 SAN FRANCISCO - 18NM WEST OF SAN FRANCIS US 37.75 -122.82 0.0 19780429 20180425 992650 99999 BLUNTS REEF US 40.42 -124.53 3.0 19841018 20041209 992660 99999 DATA BUOY 46031 US 55.5 -161.7 3.0 19850312 19950119 992670 99999 ENVIRONM BUOY 62106 US 56.983000000000004 -9.883 0.0 19850312 20080815 992680 99999 DATA BUOY 46033 US 55.8 -159.8 3.0 19850312 19940419 992690 99999 ENVIRONM BUOY 46034 US 55.1 -163.1 3.0 19850312 19950403 992700 99999 BUOY 62107 / SEVENSTONES LIGHTSHIP UK 50.1 -6.1 0.0 19780619 20180425 992710 99999 W GULF 240 NM SOUTH-SOUTHEAST OF SABINE US 25.17 -94.42 0.0 19771002 20180425 992720 99999 DATA BUOY 42015 US 30.1 -88.2 3.0 19780201 19960316 992730 99999 BUOY 41004 / EDISTO - 41 NM SOUTHEAST OF CHARLESTON US 32.5 -79.1 0.0 19790213 20180425 992740 99999 EEL RIVER - 17NM WEST-SOUTHWEST OF EUREK US 40.78 -124.54 0.0 19821209 20180425 992750 99999 DATA BUOY 46043 US 46.9 -124.2 12.0 19871110 20031210 992760 99999 GULF OF MAINE 78 NM EAST OF PORTSMOUTH N US 43.20399999999999 -69.128 0.0 19820208 20180425 992770 99999 ENVIRONM BUOY 44006 US 36.3 -75.4 3.0 19820208 19950201 992780 99999 PORTLAND 12 NM SOUTHEAST OF PORTLAND ME US 43.531000000000006 -70.14399999999999 0.0 19820514 20180425 992790 99999 NANTUCKET 54NM SOUTHEAST OF NANTUCKET US 40.5 -69.43 0.0 19821209 20180425 992800 99999 ENVIRONM BUOY 45009 US 41.1 -82.0 3.0 19861002 20020530 992810 99999 ENVIRONM BOUY 46027 US 41.833 -124.4 3.0 19850404 19970509 992820 99999 BERING SEA 310 NM NORTH OF ADAK AK US 57.05 -177.58 0.0 19860117 20180425 992830 99999 DATA BUOY 51005 US 20.4 -156.1 3.0 19860117 20011029 992840 99999 DATA BUOY 32302 US -18.0 -85.1 3.0 19860616 19950403 992850 99999 WEST ORCA BAY 36NM SOUTH SOUTHWEST OF VA US 60.58 -146.83 0.0 19871118 20180425 992860 99999 MOORED BUOY 62027 49.1 -2.2 3.0 19860804 20180121 992870 99999 ENVIRONM BUOY 62028 US 48.7 -8.9 0.0 19860605 20080907 992880 99999 K1 BUOY UK 48.7 -12.4 0.0 19870319 20180425 992890 99999 ENVIRONM BUOY 62109 US 57.0 0.0 0.0 19870126 20041011 992900 99999 DATA BUOY 62164 UK 57.2 0.5 30.0 19870126 20180425 992910 99999 ENVIRONM BUOY 62026 US 55.3 1.1 0.0 19870126 20030816 992920 99999 ENVIRONM BUOY 23002 US 22.5 -59.5 0.0 19870514 19991120 992930 99999 SOUTH NOMAD CA 48.35 -133.94 3.0 19861001 20180425 992940 99999 DATA BUOY 46038 US 41.9 -124.4 3.0 19870126 19961102 992950 99999 PT.CONCEPTION CA - 50NM WEST OF SANTA B US 34.27 -120.66 0.0 19880208 20081231 992960 99999 SANTA MARIA - 21 NM NORTHWEST OF POINT A US 34.88 -120.87 0.0 19870405 20180425 992970 99999 ENVIRONM BOUY 46039 US 48.2 -123.4 3.0 19880311 19960312 992980 99999 TAIL OF THE BANK CA 43.75 -51.74 3.0 19870624 20081231 992990 99999 DATA BUOY 45010 US 43.0 -87.8 180.0 19870404 20020419 993194 99999 SHIP BLOCK 19 US 0.0 0.0 0.0 19780315 19780315 993711 99999 SEWELLS POINT VA US VA 36.95 -76.33 10.0 20080101 20200624 994006 99999 BIG CARLOS PASS US FL 26.4 -81.88 3.0 20080101 20200624 994007 99999 HONOLULU US HI 21.3 -157.87 3.0 20080101 20200624 994008 99999 FRED HOWARD PARK US FL 28.12 -82.8 6.0 20080101 20200624 994009 99999 ANCLOTE GULF PARK US FL 28.18 -82.78 6.0 20080101 20130423 994010 99999 SOUTHWEST PASS LA US 28.9 -89.43 0.0 19420901 20200624 994011 99999 ASTORIA US OR 46.208 -123.76700000000001 2.0 20080101 20200624 994012 99999 CRESCENT CITY US CA 41.745 -124.18299999999999 4.8 20080101 20200624 994013 99999 CHEERY POINT US WA 48.863 -122.758 5.0 20080101 20200624 994014 99999 SEATTLE US WA 47.605 -122.338 2.0 20080101 20190102 994015 99999 FRIDAY HARBOR US WA 48.547 -123.01 2.0 20080101 20200624 994016 99999 SAN FRANCISCO US CA 37.806999999999995 -122.465 2.0 20080101 20200624 994017 99999 NORTH SPIT US CA 40.766999999999996 -124.21700000000001 2.0 20080101 20200624 994018 99999 LA JOLLA US CA 32.867 -117.258 2.0 20080101 20200624 994019 99999 MONTEREY US CA 36.605 -121.88799999999999 2.0 20080101 20141231 994020 99999 CHESAPEAKE LIGHT VA US VA 36.91 -75.71 0.0 19850501 20141231 994021 99999 NEAH BAY US WA 48.368 -124.617 5.0 20080101 20200624 994022 99999 POINT REYES US CA 37.99 -122.975 2.0 20080101 20200208 994023 99999 PORT SAN LUIS US CA 35.177 -120.76 2.0 20080101 20200624 994024 99999 PORT ANGELES US WA 48.125 -123.44 5.0 20080101 20200624 994025 99999 PORT TOWNSEND US WA 48.111999999999995 -122.758 5.0 20080101 20200624 994026 99999 SOUTH BEACH US OR 44.625 -124.04299999999999 2.0 20080101 20200624 994027 99999 SAN DIEGO US CA 32.713 -117.17299999999999 2.0 20080101 20200624 994028 99999 SANTA MONICA PIER US CA 34.008 -118.5 2.0 20080101 20200624 994029 99999 TOKE POINT US WA 46.708 -123.965 5.0 20080101 20200624 994030 99999 DIAMOND SHLS LT. NC US 35.15 -75.3 0.0 19850501 20030729 994031 99999 PORT ORFORD US OR 42.74 -124.49700000000001 8.0 20080101 20200624 994032 99999 CHARLESTON US OR 43.345 -124.322 2.0 20080101 20200624 994033 99999 ALAMEDA US CA 37.772 -122.29799999999999 2.0 20080101 20200624 994034 99999 PORT CHICAGO US CA 38.056999999999995 -122.038 2.0 20080101 20200624 994035 99999 LOS ANGELES US CA 33.72 -118.272 2.0 20080101 20200624 994036 99999 RICHMOND US CA 37.928000000000004 -122.4 5.6 20080101 20200624 994037 99999 PHILLIPS OILPLATFOR US TX 26.95 -94.68299999999999 10.0 20050419 20100521 994040 99999 FRYING PAN SHOALS NC US 33.49 -77.59 0.0 19850509 20080912 994041 99999 REDWOOD CITY US CA 37.507 -122.2 6.0 20080101 20200624 994042 99999 CHARLOTTE AMALIE VQ 18.33 -64.92 5.0 20080101 20200624 994043 99999 SAN JUAN RQ 18.47 -66.12 5.0 20080101 20200624 994044 99999 ARENA COVE US CA 38.92 -123.7 2.0 20080101 20200624 994045 99999 APPALACHICOLA US FL 29.73 -84.98 2.0 20080313 20200624 994046 99999 NANTUCKET ISLAND US MA 41.28 -70.1 0.0 20080101 20200624 994047 99999 PENSACOLA US FL 30.4 -87.22 3.0 20080101 20200624 994048 99999 TACOMA US WA 47.266999999999996 -122.413 5.0 20080101 20200624 994050 99999 LAKE WORTH FL US 26.61 -80.03 0.0 19850501 20200624 994060 99999 MT DESERT ROCK ME US ME 43.97 -68.13 9.1 19850121 20200624 994061 99999 CHEYBOGAN GLOS WEATHER STATION US MI 45.651 -84.47200000000001 177.7 20100407 20141231 994062 99999 GREEN BAY ENTRANCE LIGHT US WI 44.655 -87.902 176.0 20100523 20100621 994063 99999 PRESQUE ISLE LIGHT GLOS WEATHER STATION US MI 45.356 -83.492 184.4 20100325 20141231 994064 99999 STURGEON POINT LIGHT GLOS WEATHER STATION US MI 44.713 -83.273 184.4 20100325 20141231 994065 99999 TAWAS CITY GLOS WEATHER STATION US MI 44.256 -83.443 171.6 20100325 20200624 994066 99999 WHITEFISH POINT GLOS WEATHER STATION US MI 46.762 -84.96600000000001 185.9 20100325 20200624 994070 99999 DESTRUCTION IS. WA US WA 47.68 -124.49 21.3 19850501 20200624 994080 99999 FIVE FINGER AK US 57.27 -133.63 6.7 19850501 20200624 994081 99999 EAST AMATULI STATION LIGHT AK US 58.92 -151.95 33.2 20040713 20200624 994082 99999 APK - ARIPEKA FL US 28.43 -82.66 0.0 20040713 20200505 994083 99999 NFB - NORTHWEST FLORIDA BAY FL US 25.08 -81.09 0.0 20040713 20141231 994084 99999 PILOT ROCK AK US 59.74 -149.47 24.0 20040713 20200624 994085 99999 PAS -PORT RICHEY FL US 28.28 -82.73 0.0 20040713 20081231 994086 99999 SHP - SHELL POINT FL US 30.06 -84.29 0.0 20040713 20200624 994090 99999 PASSAGE ISLAND MI US MI 48.22 -88.37 195.4 19850528 20200624 994100 99999 AMBROSE LIGHT NY US NY 40.46 -73.83 0.0 19850330 20080728 994110 99999 PORT ARANSAS TX US 27.83 -97.05 0.0 19850501 20200624 994120 99999 POINT ARENA CA US CA 38.96 -123.74 17.4 19850501 20081231 994130 99999 ROCK OF AGES MI US MI 47.87 -89.31 183.5 19850402 20200624 994140 99999 BUZZARDS BAY MA US MA 41.4 -71.03 0.0 19850712 20200624 994150 99999 ST. JOHN'S LIGHT US 30.4 -81.4 30.0 19850501 19910709 994160 99999 CAPE LOOKOUT NC US NC 34.62 -76.52 4.6 19850120 20200624 994170 99999 DEERFIELD BEACH US FL 26.316999999999997 -80.083 2.0 19850116 20020601 994180 99999 SMITH ISLAND WA US 48.32 -122.84 15.2 19850411 20200624 994190 99999 DEVILS ISLAND WI US WI 47.08 -90.73 191.7 19850501 20200624 994200 99999 STANNARD ROCK MI US MI 47.18 -87.22 182.9 19850501 20200624 994210 99999 POINT ARGUELLO CA US 34.58 -120.65 32.3 19430618 20200624 994220 99999 VENICE FL US FL 27.07 -82.45 0.0 19850622 20200624 994230 99999 FOLLY ISLAND SC US 32.68 -79.89 3.0 19850501 20200624 994240 99999 CAPE ARAGO OR US 43.34 -124.38 18.0 19850501 20081231 994250 99999 DUNKIRK NY US 42.49 -79.35 182.9 19850501 20200624 994260 99999 SABINE TX US 29.67 -94.05 0.9 19850501 20200311 994270 99999 ISLE OF SHOALS NH US NH 42.97 -70.62 13.1 19850501 20200624 994280 99999 NEWPORT OR US 44.61 -124.07 9.1 19850501 20200624 994290 99999 GRAND ISLE LA US 29.27 -89.96 1.8 19850501 20041231 994300 99999 TATOOSH ISLAND WA US 48.39 -124.74 30.8 19850501 20141231 994310 99999 ALLIGATOR REEF US 24.9 -80.6 0.0 19850123 20020118 994320 99999 GALLOO ISLAND NY US 43.89 -76.45 105.0 19850501 20020930 994330 99999 SHEBOYGAN WI US 43.75 -87.69 175.9 19850501 20200624 994340 99999 SOUTH BASS ISLAND OH US OH 41.63 -82.84 176.8 19850501 20200624 994350 99999 WEST POINT WA US 47.66 -122.44 3.0 19850501 20200624 994360 99999 CAPE SAN BLAS FL US 29.67 -85.36 1.8 19850501 20040907 994370 99999 MATINICUS ROCK ME US 43.78 -68.86 16.2 19850302 20191002 994380 99999 SAVANNAH LIGHT GA US 31.95 -80.68 30.0 19850517 20020525 994390 99999 SETTLEMENT POINT GBI US 26.7 -79.0 1.5 19851203 20200624 994400 99999 THOMAS POINT MD US 38.9 -76.44 0.0 19851205 20200624 994410 99999 ST. AUGUSTINE FL US 29.86 -81.26 0.0 19870122 20200624 994420 99999 DAUPHIN ISLAND AL US 30.25 -88.07 0.0 19870219 20200624 994430 99999 MOLASSES REEF FL US 25.01 -80.38 0.0 19880929 20190406 994440 99999 MAIN PASS US 29.4 -88.6 10.0 19880929 20010813 994450 99999 SOMBRERO KEY FL US FL 24.63 -81.11 0.0 19880929 20200624 994460 99999 SOUTHERN OPEN SOUND NY US 41.0 -73.1 0.0 19891108 20081231 994470 99999 GARDEN BANKS US 27.8 -93.1 10.0 19900112 19920720 994480 99999 ENEWETAK/MARSHALLS RM 11.367 162.36700000000002 2.0 19900322 19950604 994490 99999 UJAE ATOLL MARSHALL US 8.93 165.75 10.0 19900322 19950530 994500 99999 MILI MARSHALLS IS. US 6.1 172.1 10.0 19901214 19970830 994510 99999 SABINE US TX 29.666999999999998 -94.05 5.0 19900913 20020219 994530 99999 EBON ATOLL CAROLINE US 4.6 168.7 10.0 19900914 20000229 994540 99999 KOSRAE CAROLINE FM 5.36 162.96 10.0 19901018 19920131 994550 99999 ALEXANDRIA BAY NY US 44.33 -75.93 76.2 19950103 20081231 994560 99999 FOWEY ROCKS FL US 25.59 -80.1 0.0 19940901 20200624 994570 99999 SAND KEY FL US 24.46 -81.88 0.0 19941007 20200624 994580 99999 SUPERIOR SHOALS NY US 44.47 -75.8 77.4 19941007 20081231 994590 99999 THOUSAND I. BRDG. NY US NY 44.3 -75.98 75.6 19941007 20081231 994610 99999 DUCK PIER NC US NC 36.18 -75.75 0.0 20020219 20080731 994620 99999 LONG KEY FL US FL 24.84 -80.86 0.0 20020219 20200624 994630 99999 DRY TORTUGAS FL US FL 24.64 -82.86 0.0 20020219 20040813 994640 99999 CEDAR KEY US FL 29.14 -83.03 1.8 20020222 20200624 994650 99999 KEATON BEACH US FL 29.82 -83.59 1.8 20020219 20200624 994660 99999 POTATO POINT US AK 61.06 -146.7 7.0 20020219 20200624 994670 99999 MIDDLE ROCK LIGHT US AK 61.08 -146.66 0.0 20020219 20200624 994680 99999 BLIGH REEF LIGHT US AK 60.84 -146.88 0.0 20020219 20200624 994690 99999 DRIFT RIVER TERMINAL US AK 60.55 -152.14 15.9 20020219 20190407 994700 99999 AUGUSTINE ISLAND US AK 59.38 -153.35 9.1 20020703 20200624 994710 99999 068: BAFFIN BAY; POINT OF ROCKS TX US TX 27.3 -97.42 0.0 20040608 20200624 994720 99999 FLAT ISLAND LIGHT US AK 59.33 -151.99 17.9 20040608 20200624 994730 99999 GALVESTON PLEASURE PIER; GULF OF ME US TX 29.29 -94.79 0.0 20040608 20041214 994740 99999 HOM - HOMOSASSA FL US 28.77 -82.71 0.0 20040608 20081231 994750 99999 NEW LONDON LEDGE - LEDGE LIGHT WEATHER S US CT 41.31 -72.08 20.0 20040608 20200619 994760 99999 WESTERN LAKE PONCHARTRAIN LA US LA 30.31 -90.28 0.0 20040608 20081228 994770 99999 LAKE ST CLAIR MI US MI 42.47 -82.76 178.5 20040608 20081231 994780 99999 LUMCON MARINE CENTER LA US LA 29.25 -90.66 0.0 20040608 20130521 994790 99999 MATAGORDA BAY; PORT O'CONNOR US TX 28.45 -96.4 9.0 20040608 20200624 994800 99999 RINCON DEL SAN JOSE; POTRERO LOPENO US TX 26.8 -97.47 0.0 20040608 20200624 994810 99999 100: RTNS OFFSHORE TX US 27.76 -96.98 0.0 20040729 20041231 994820 99999 TYNDALL AFB TOWER C (N4) FL US 29.41 -84.86 0.0 20040608 20200624 994830 99999 U.S. NAVY TOWER R2 US GA 31.38 -80.57 50.0 20040608 20081221 994840 99999 TAMBOUR BAY LA US 29.19 -90.67 0.0 20040608 20080819 994850 99999 TERREBONNE BAY LA US 29.17 -90.58 0.0 20080606 20080830 994860 99999 U.S. NAVY TOWER R8 US GA 31.633000000000003 -79.917 34.0 20040608 20080415 994870 99999 EGK - EGMONT KEY FL US 27.6 -82.76 0.0 20040803 20131231 994880 99999 ANM - ANNA MARIA FL US 27.54 -82.74 0.0 20040803 20130430 994890 99999 BRIDGEPORT TERMINAL US CT 41.183 -73.183 16.0 20040803 20081231 994900 99999 NORTH MIDDLE SOUND US CT 41.07 -73.13 16.0 20040803 20081231 994910 99999 FAYERWEATHER ISLAND US CT 41.15 -73.17 16.0 20040803 20081231 994920 99999 NORTH CENTRAL SOUND US CT 41.1 -73.15 16.0 20040803 20081231 994930 99999 SOUTH MIDDLE SOUND US NY 41.05 -73.12 16.0 20040803 20081231 994940 99999 OLD FIELD ISLAND NY US 40.97 -73.08 0.0 20040803 20081231 994950 99999 NORTHERN OPEN SOUND CT US CT 41.12 -73.16 16.0 20040803 20081231 994951 99999 SEBASTIAN INLET STATE PARK US FL 27.862 -80.445 10.0 20130401 20200624 994960 99999 PORT JEFFERSON NY US 40.95 -73.07 0.0 20040803 20081230 994970 99999 SOUTH CENTRAL SOUND NY US 41.02 -73.11 0.0 20040803 20081231 994971 99999 BOSTON US MA 42.35 -71.05 0.0 20080101 20200624 994972 99999 ALGOMA CITY MARINA US WI 44.6 -87.43 185.0 20080101 20141231 994973 99999 N PIER DEATHS DOOR US WI 45.28 -86.98 188.0 20080207 20200624 994974 99999 YACHT WORKS SISTER US WI 45.2 -87.12 181.0 20080101 20141231 994975 99999 BEAUFORT NC US NC 34.2 -76.67 10.0 20080101 20200624 994976 99999 GB ENTRANCE LIGHT US WI 44.65 -87.9 201.0 20080101 20081231 994977 99999 GRAND ISLE US LA 29.27 -89.95 10.0 20080111 20200624 994979 99999 GRAVELLY SHOALS US MI 44.02 -83.53 204.0 20080101 20200624 994980 99999 CAPE ELIZABETH- 45NM WEST OF ABERDEEN W US 47.34 -124.75 0.0 20040907 20180425 994990 99999 DATA BUOY 62145 UK 53.1 2.8 30.0 20020409 20180425 995000 99999 MOBILE SOUTH 64 NM SOUTH OF DAUPHIN ISLA US 29.18 -88.21 0.0 20020409 20180425 995003 99999 BUOY 22183 37.73 126.24 3.0 20180101 20180425 995005 99999 BUOY 23016 -1.614 66.794 3.0 20180101 20180425 995007 99999 BUOY 23092 17.862000000000002 89.665 3.0 20180101 20180425 995008 99999 BUOY 41099 14.172 -60.946000000000005 3.0 20180101 20180415 995010 99999 PLATFORM NO. 62126 UK 53.8 -3.6 0.0 19880612 20081231 995014 99999 BUOY 44050 46.7 -56.183 3.0 20180101 20180425 995019 99999 BUOY 46114 36.7 -122.3 3.0 20180101 20180425 995020 99999 PLATFORM NO. 62101 UK 50.6 -2.9330000000000003 0.0 19880915 20041209 995030 99999 PLATFORM NO. 63111 UK 59.5 1.5 0.0 19880812 20041219 995040 99999 PLATFORM NO. 62137 UK 57.6 1.8 0.0 19890311 20081228 995050 99999 PLATFORM NO. 62138 UK 58.4 -0.1 0.0 19890814 19960310 995060 99999 PLATFORM NO. 62116 US 57.7 1.4 0.0 19890510 20180425 995070 99999 PLATFORM NO. 62115 US 58.05 -3.05 0.0 19890504 20180425 995080 99999 PLATFORM NO. 63137 UK 57.8 1.8 0.0 19940409 20020513 995090 99999 PLATFORM NO. 62142 UK 56.8 1.7 0.0 19910830 19980408 995100 99999 PLATFORM NO. 62147 UK 58.0 1.1 0.0 19890213 19960420 995110 99999 PLATFORM NO. 62125 US 53.8 -3.5 0.0 19890317 20081231 995120 99999 PLATFORM NO. 62111 UK 58.1 0.4 0.0 19890814 20081231 995130 99999 PLATFORM NO. 62123 US 56.4 2.2 0.0 19890318 20080712 995140 99999 PLATFORM 62121 UK 53.6 2.8 0.0 19890814 20180306 995150 99999 PLATFORM NO. 62127 UK 53.5 2.2 0.0 19890814 20041230 995160 99999 SEAL ROCKS 55NM SOUTH OF VALDEZ AK US 60.22 -146.83 0.0 19900821 20180425 995170 99999 PLATFORM NO. 63109 US 59.35 1.3 0.0 19900712 20180425 995180 99999 PLATFORM NO. 62141 US 60.38 1.05 0.0 19890814 20180425 995190 99999 PLATFORM NO. 62118 UK 57.7 0.9 0.0 19890814 20081231 995200 99999 ENVIRONM BUOY 62133 US 57.1 1.0 0.0 19890814 20180425 995210 99999 PLATFORM NO. 62129 US 53.05 2.117 0.0 19890814 20180425 995220 99999 PLATFORM 62120 UK 56.4 2.1 0.0 19890815 20180425 995230 99999 PLATFORM NO. 62122 US 56.3 2.01 0.0 19890814 20180425 995240 99999 PLATFORM NO. 62130 UK 53.0 1.7 0.0 19890804 20080213 995250 99999 PLATFORM NO. 63108 UK 60.133 1.7 0.0 19890814 20081231 995260 99999 ENVIRONM BUOY 62138 US 58.3 -1.7 0.0 19891121 20180425 995270 99999 DATA BUOY 63104 UK 61.2 1.6 30.0 19890814 20180425 995280 99999 PLATFORM NO. 63101 UK 61.117 0.9 0.0 19890814 20081231 995290 99999 DATA BUOY 63110 UK 59.5 1.5 30.0 19890814 20180425 995300 99999 PLATFORM NO. 62114 US 58.3 1.0 0.0 19890808 20180425 995310 99999 PLATFORM NO. 63102 UK 61.2 1.1 0.0 19890324 20041217 995320 99999 PLATFORM NO. 62113 UK 58.4 0.3 0.0 19880904 20080913 995330 99999 PLATFORM NO. 62117 US 57.92 0.0 0.0 19890112 20081231 995340 99999 NICKERSON BANK CA 46.44 -53.39 3.0 19880915 20081231 995350 99999 PLATFORM NO. 44172 CA 46.5 -48.4 0.0 19910813 20010912 995360 99999 ENVIRONM BUOY 62162 UK 57.4 -0.5 0.0 19901017 20080219 995370 99999 MOORED BUOY 20106 PO 41.7 -31.9 0.0 19890816 19940928 995380 99999 BUOY 62163 / BRITTANY UK 47.5 -8.5 0.0 19890305 20180425 995390 99999 HALIFAX HARBOR CA 44.5 -63.4 3.0 19890814 20081231 995400 99999 PLATFORM NO. 62150 US 59.5 1.4 0.0 19900921 20180425 995410 99999 MOORED BUOY 45134 CA 42.4 -80.5 3.0 19920315 20020127 995420 99999 PLATFORM NO. 63106 UK 53.5 2.0 0.0 19890416 20081118 995430 99999 PLATFORM NO. 62143 UK 58.3 0.4 0.0 19900405 20081231 995440 99999 DATA BUOY 63105 UK 61.0 1.7 30.0 19880925 20180425 995450 99999 CANAVERAL 20 NM EAST OF CAPE CANAVERAL US 28.519000000000002 -80.166 0.0 19890814 20180425 995460 99999 CANAVERAL EAST 120NM EAST OF CAPE CANAVE US 28.9 -78.55 0.0 19890814 20180425 995470 99999 PENSACOLA - 115NM EAST SOUTHEAST OF PENS US 28.8 -86.06 0.0 19890211 20180425 995480 99999 EAST SCOTIA SLOPE CA 42.26 -62.0 3.0 19890814 20180425 995490 99999 SW GRAND BANKS CA 44.26 -53.62 3.0 19891101 20081231 995500 99999 BANQUREAU BANKS CA 44.26 -57.08 3.0 19890814 20180425 995510 99999 PLATFORM NO. 62560 US 43.0 -79.3 0.0 19890626 20081231 995520 99999 PLATFORM NO. 62561 FR 29.2 -13.4 0.0 19890418 20081231 995530 99999 PLATFORM NO. 62562 FR 48.033 -17.5 0.0 19890404 20041230 995540 99999 PLATFORM NO. 62563 US 55.12 -6.6 0.0 19890125 20041229 995550 99999 PLATFORM NO. 62565 FR 28.1 -15.1 0.0 19890609 20080112 995560 99999 PLATFORM NO. 62566 FR 57.7 -15.0 0.0 19890407 20041230 995570 99999 PLATFORM NO. 62567 US 42.4 -15.2 0.0 19890326 19980203 995580 99999 PLATFORM NO. 62568 FR 30.3 -28.2 0.0 19910921 20041112 995590 99999 PLATFORM NO. 62569 FR 30.4 -11.2 0.0 19890115 20080809 995600 99999 PLATFORM NO. 62570 US 29.0 -14.117 0.0 19891104 19970604 995610 99999 PLATFORM NO. 62572 FR 28.3 -15.2 0.0 19940827 20080312 995620 99999 PLATFORM NO. 62573 FR 28.3 -14.6 0.0 19890103 20040830 995630 99999 ENVIRONM BUOY 62169 UK 58.2 0.033 0.0 19891003 20041231 995640 99999 PLATFORM NO. 62575 FR 27.6 -16.1 0.0 19900728 20031130 995650 99999 PLATFORM NO. 62576 FR 27.3 -18.1 0.0 19890304 20040704 995660 99999 PLATFORM NO. 62578 FR 28.2 -15.1 0.0 19911229 20081210 995670 99999 PLATFORM NO. 62581 FR 30.2 -13.0 0.0 19881221 20041017 995680 99999 PLATFORM NO. 62582 FR 28.2 -15.0 0.0 19910104 20020714 995690 99999 PLATFORM NO. 62584 FR 29.3 -14.2 0.0 19901115 19950401 995700 99999 GASCOGNE BUOY 62001 UK 45.2 -5.0 0.0 19881211 20180425 995710 99999 ENVIRONM BUOY 44231 CA 45.1 -55.8 0.0 19940406 19940406 995720 99999 ENVIRONM BUOY 62102 UK 53.5 -19.4 0.0 19890814 20040703 995730 99999 ENVIRONM BUOY 62112 UK 58.7 1.3 0.0 19890903 20041215 995740 99999 ENVIRONM BUOY 62119 US 57.0 2.0 0.0 19890709 20180425 995750 99999 ENVIRONM BUOY 62128 UK 53.4 2.3 0.0 19890814 20081121 995760 99999 DATA BUOY 62166 UK 57.2 0.5 30.0 19890901 20081231 995770 99999 ENVIRONM BUOY 62414 UK 53.833 2.917 0.0 19890713 20080322 995780 99999 ENVIRONM BUOY 63103 UK 61.1 1.1 0.0 19890721 20081231 995790 99999 ENVIRONM BUOY 62551 24.3 -39.2 0.0 19920216 20081231 995800 99999 ENVIRONM BUOY 62552 24.2 -51.4 0.0 19910512 20081231 995810 99999 ENVIRONM BUOY 62553 22.4 -55.4 0.0 19890728 20081231 995820 99999 ENVIRONM BUOY 62554 SC 17.5 -62.5 0.0 19930824 20081231 995830 99999 ENVIRONM BUOY 62555 31.2 -37.1 0.0 19951220 20081231 995840 99999 ENVIRONM BUOY 62556 US 29.4 -25.92 0.0 19901107 20081229 995850 99999 DATA BUOY 62142 UK 53.0 2.1 30.0 19910730 20081231 995860 99999 ENVIRONM BUOY 62558 25.4 -37.6 0.0 19940801 20081231 995870 99999 DATA BUOY 62052 FR 48.5 -5.6 3.0 19900117 20081231 995880 99999 ENVIRONM BUOY 62590 CF -4.5 11.5 3.0 19890907 20031208 995890 99999 ENVIRONM BUOY 62051 US 53.5 -5.4 0.0 19910716 20081219 995900 99999 MOORED BUOY 44233 CA 44.0 -50.0 0.0 19890723 19960813 995910 99999 W. TAMPA 106NM WEST NORTHWEST OF TAMPA US 28.51 -84.51 0.0 19890808 20081231 995920 99999 BUOY 62103 / CHANNEL LIGHTSHIP UK 49.9 -2.9 0.0 19911214 20180425 995930 99999 ENVIRONM BUOY 62104 US 50.417 0.233 0.0 19900103 20180425 995940 99999 DATA BUOY 62144 UK 53.4 1.7 30.0 19901117 20180425 995950 99999 ENVIRONM BUOY 63115 UK 58.4 -5.6 0.0 19900331 20081231 995960 99999 PRINCE EDWARD PT CA 43.79 -76.87 3.0 19911018 20081123 995970 99999 SLATE ISLAND CA 48.53 -86.95 3.0 19960723 20081031 995980 99999 GEORGIAN BAY CA 45.54 -81.01 180.0 19940404 20081217 995990 99999 PORT STANLEY CA 42.783 -81.367 3.0 19900115 20081121 996000 99999 MOORED BUOY 40503 20.2 -67.4 0.0 19901003 20040906 996010 99999 MOORED BUOY 40605 15.1 -79.9 0.0 19920829 19930927 996020 99999 ENVIRONM BUOY 50806 PO 39.5 -27.7 0.0 19900124 19970530 996030 99999 ENVIRONM BUOY 62136 UK 60.6 1.0 0.0 19900115 20081018 996040 99999 ENVIRONM BUOY 63119 US 56.3 2.1 0.0 19920416 20081231 996050 99999 K2 BUOY 62081 UK 51.0 -13.3 0.0 20011129 20180425 996060 99999 ENVIRONM BUOY 62135 UK 58.7 1.4 0.0 19900305 20081231 996070 99999 DATA BUOY 63113 UK 61.0 1.7 30.0 19930908 20180425 996080 99999 NICE BUOY 61001 FR 43.4 7.8 3.0 19920701 20180425 996090 99999 ENVIRONM BUOY 62146 UK 58.1 1.1 0.0 19920416 20081231 996100 99999 ENVIRONM BUOY 62571 UY -34.6 -54.6 0.0 19891215 19901109 996110 99999 K3 BUOY 62108 UK 53.5 -19.5 0.0 19920416 20081021 996120 99999 K4 BUOY 62105 UK 54.54 -12.36 0.0 19921207 20041231 996130 99999 ENVIRONM BUOY 62550 PO 42.3 -11.2 0.0 19901126 20040510 996140 99999 ENVIRONM BUOY 62583 PO 42.0 -11.3 0.0 19900203 19950516 996150 99999 ENVIRONM BUOY 62586 PO 41.6 -11.5 0.0 19900114 20011119 996160 99999 ENVIRONM BUOY 62587 PO 42.2 -11.2 0.0 19941230 20030530 996170 99999 LION BUOY 61002 FR 42.1 4.7 3.0 19900207 20180425 996180 99999 FREEPORT TX. 60 NM SOUTH OF FREEPORT T US 27.91 -95.36 0.0 19910515 20180425 996190 99999 CORPUS CHRISTI TX. 50NM SOUTHEAST OF CO US 26.95 -96.7 0.0 19920416 20180425 996200 99999 ENVIRONM BUOY 62124 UK 54.6 1.4 0.0 19960226 20030423 996210 99999 NORTH NOMAD CA 53.91 -138.85 3.0 19900917 20180425 996220 99999 FAIRWEATHER GROUNDS 92NM SOUTHEAST OF YA US 58.25 -138.0 0.0 19920416 20180425 996230 99999 ENVIRONM BUOY 64043 FO 61.6 -13.4 0.0 19960802 20041117 996240 99999 ENVIRONM BUOY 62413 UK 60.7 1.0 0.0 20020205 20020205 996250 99999 LA HAVE BANK CA 42.5 -64.02 3.0 19911102 20041231 996260 99999 LAURENTIAN FAN CA 43.0 -58.0 3.0 19900922 20081231 996280 99999 DATA BUOY 44001 US 38.7 -73.6 3.0 20011215 20041229 996290 99999 BUOY 41100 / LESSER ANTILLES FR 15.9 -57.9 3.0 19910101 20081231 996300 99999 VIRGINIA BEACH 64 NM EAST OF VIRGINIA BE US 36.61 -74.84 0.0 19911211 20180425 996310 99999 MOORED BUOY 46046 US 46.3 -124.2 0.0 19930906 20030913 996320 99999 ENVIRONM BUOY 62157 US 58.117 0.11699999999999999 0.0 19901019 20180425 996330 99999 23 NAUTICAL MILES SOUTHWEST OF MONTAUK P US 40.7 -72.0 0.0 19910405 20180425 996340 99999 SE CAPE COD 30NM EAST OF NANTUCKET MA US 41.26 -69.29 0.0 19911003 20180425 996350 99999 ST. AUGUSTINE FL 40NM ENE OF ST AUGUSTI US 30.0 -80.6 0.0 20020626 20081231 996360 99999 DATA BUOY 44023 US 37.5 -74.4 3.0 19930825 20040928 996370 99999 REDONDO BEACH US 33.84 -118.45 3.0 19910503 20021202 996380 99999 ENVIRONM BUOY 63116 UK 57.883 0.033 0.0 19930218 20081231 996390 99999 ENVIRONM BUOY 62148 US 53.6 1.05 0.0 19991229 20180425 996400 99999 SANTA BARB E - 12NM SOUTHWEST OF SAN BAR US 34.24 -119.85 0.0 19931227 20180425 996410 99999 CENTRAL DIXON ENTRANCE BUOY CA 54.38 -132.45 3.0 19920416 20180425 996420 99999 LONG ISLAND 33 NM SOUTH OF ISLIP NY US 40.25 -73.17 0.0 19920416 20180425 996430 99999 MOUNT LOUIS CA 49.54 -65.77 3.0 19920416 20081106 996440 99999 DATA BUOY 63117 UK 58.0 1.1 30.0 19910606 20180425 996450 99999 ENVIRONM BUOY 63118 UK 58.9 -7.5 0.0 19930620 20081222 996460 99999 NORTH HECATE STRAIT CA 53.62 -131.1 3.0 19930727 20180425 996470 99999 SANTA BARBARA W 38 NM WEST OF SANTA BARB US 34.27 -120.45 0.0 19910722 20180425 996480 99999 BUOY 62304 / SANDETTIE LIGHTSHIP UK 51.1 1.8 0.0 20011129 20180425 996490 99999 WEST DIXON ENTRANCE CA 54.16 -134.28 3.0 19960226 20180425 996500 99999 LA PEROUSE BANK CA 48.84 -126.0 3.0 19960311 20180425 996510 99999 WEST MORESBY CA 52.52 -132.68 3.0 19980624 20180128 996520 99999 NANAKWA SHOAL CA 53.83 -128.83 3.0 20011129 20180425 996530 99999 SOUTH HECATE STRAIT CA 52.42 -129.81 3.0 19940113 20180425 996540 99999 WEST SEA OTTER CA 51.37 -128.75 3.0 19930526 20180425 996550 99999 WEST LAKE ONTARIO CA 43.4 -79.45 78.0 19920825 20081126 996560 99999 MOORED BUOY 23051 MU 23.7 58.5 0.0 19940804 19980304 996570 99999 BUOY 62305 / GREENWICH LIGHTSHIP UK 50.4 0.0 0.0 20011129 20180425 996580 99999 ENVIRONM BUOY 63114 UK 61.1 1.083 0.0 19911114 20080220 996590 99999 DATA BUOY 41017 US 35.4 -75.1 3.0 19940131 20021109 996600 99999 ENVIRONM BUOY 55011 AS -40.8 144.3 0.0 19930221 19970403 996610 99999 S ALEUTIANS 380NM SOUTHWEST OF KODIAK A US 52.7 -154.98 0.0 19951220 20180425 996620 99999 EAST DELLWOOD CA 50.87 -129.92 3.0 20011129 20180425 996630 99999 ENVIRONM BUOY 62134 UK 57.2 1.2 0.0 19911002 20081231 996640 99999 ENVIRONM BUOY 62023 US 51.4 -7.92 0.0 19920926 20180425 996650 99999 MOORED BUOY 23052 MU 22.6 59.5 0.0 19931208 19931208 996660 99999 ENVIRONM BUOY 62411 NL 52.2 4.2 0.0 19920116 20011117 996670 99999 ENVIRONM BUOY 62403 NL 53.2 3.2 0.0 19960908 19960908 996680 99999 ENVIRONM BUOY 62415 NL 51.9 3.6 0.0 19960930 19960930 996690 99999 ENVIRONM BUOY 62404 NL 53.8 4.3 0.0 20030809 20041118 996700 99999 ENVIRONM BUOY 62405 NL 53.5 4.2 0.0 19920729 20040426 996710 99999 ENVIRONM BUOY 62425 NL 53.8 5.8 0.0 19990526 20020524 996720 99999 MOORED BUOY 44143 CA 45.9 -50.0 0.0 19940828 20011201 996730 99999 MOORED BUOY 44144 CA 43.8 -60.7 0.0 19920521 20020330 996740 99999 TANNER BANKS - 121NM WEST OF SAN DIEGO US 32.43 -119.53 0.0 20011129 20180425 996750 99999 ENVIRONM BUOY 62090 US 53.12 -11.2 0.0 19960314 20041231 996760 99999 STONEWALL BANKS - 20NM WEST OF NEWPORT US 44.62 -124.53 0.0 19930207 20180425 996770 99999 K5 BUOY 64045 UK 59.1 -11.4 0.0 20011129 20180425 996780 99999 BARREN ISLAND US 59.05 -152.23 3.0 19930912 19951115 996790 99999 ENVIRONM BUOY 62132 US 56.4 2.0 0.0 20011129 20180425 996800 99999 ENVIRONM BUOY 62402 NL 53.5 3.15 0.0 19940907 20080220 996810 99999 HARVEST EXPERIMENT PLATFORM US 34.48 -120.69 3.0 19930830 19990217 996820 99999 ENVIRONM BUOY 62407 US 52.9 4.0 0.0 20011207 20080229 996830 99999 BUOY 62091 / M2 20NM EAST OF LAMBAY US 53.47 5.42 0.0 20020219 20081231 996840 99999 K7 BUOY UK 60.7 -4.5 0.0 20020219 20180425 996850 99999 BUOY 62301 / ABERPORTH (CARDIGAN BAY) UK 52.3 -4.5 0.0 19940420 20081231 996860 99999 BUOY 62303 / TURBOT BANK UK 51.6 -5.1 0.0 20011129 20081231 996870 99999 HALIBUT BANK CA 49.34 -123.73 3.0 19951105 20180425 996880 99999 ENVIRONM BUOY 62151 UK 54.0 0.7 0.0 19940219 20080621 996890 99999 ENVIRONM BUOY 62302 UK 54.1 -3.6 0.0 19930414 20040907 996900 99999 ENVIRONM BUOY 64050 UK 60.1 -4.0 0.0 19950425 20030702 996910 99999 ENVIRONM BUOY 62409 NL 52.7 3.7 0.0 19940119 20040828 996920 99999 DATA BUOY 63112 UK 61.1 1.0 30.0 19970509 20180425 996930 99999 SENTRY SHOAL CA 49.91 -124.99 3.0 19940214 20180425 996940 99999 ENVIRONM BUOY 62152 US 54.2 2.4 0.0 20011129 20081231 996950 99999 ENVIRONM BUOY 62410 US 53.2 3.6 0.0 19960331 20041231 996960 99999 SOUTH BROOKS CA 49.74 -127.93 3.0 19930626 20180425 996970 99999 GALVESTON 22NM EAST OF GALVESTON TX. US 29.25 -94.41 0.0 20011129 20180425 996980 99999 SOUTH MORESBY CA 51.83 -131.22 3.0 19940617 20180425 996990 99999 OLYMPIC NORTHEAST US 31.92 -80.85 3.0 19940908 20020517 997000 99999 OLYMPIC SOUTHWEST US 31.89 -80.86 3.0 20010621 20020526 997001 99999 FLETCHER ICE ISLAND T-3 (ARCTIC) US 6.0 19520401 19550924 997010 99999 BUOY 41008 / GRAYS REEF - 40 NM SOUTHEAST OF SAVANNAH US 31.4 -80.87 0.0 20020409 20180425 997012 99999 BUOY 31003 / SW EXTENSION PIRATA ATLAS BUOY -8.0 -30.0 3.0 20180105 20180424 997020 99999 ENVIRONM BUOY 44145 CA 46.7 -48.7 0.0 20020411 20030118 997030 99999 BUOY 41013 / FRYING PAN SHOALS NC BUOY US 33.48 -77.58 3.0 20080101 20180425 997040 99999 DIAMOND SHOALS US NC 35.06 -75.38 5.0 20080101 20180425 997050 99999 BUOY 41101 / EAST OF MARTINIQUE FR 14.6 -56.2 3.0 20080101 20081231 997060 99999 NA2 - NAVY-2 US 27.16 -82.95 0.0 20080808 20180425 997070 99999 CMP4 - PASCO COUNTY BUOY FL US 28.3 -83.3 0.0 20080101 20081231 997071 99999 URSA-MISS CANYON US 28.2 -89.117 5.0 20180101 20180414 997073 99999 PERDIDO HOST-ALAMINOS CANYON US 26.133000000000003 -94.9 10.0 20180101 20180425 997074 99999 FIRST LANDING US 36.983000000000004 -76.05 3.0 20180101 20180425 997077 99999 SUNSET BEACH NEARSHORE WAVES US NC 33.842 -78.476 3.0 20130513 20200310 997078 99999 LITTLE PORT WALTER US AK 56.388000000000005 -134.637 2.5 20130101 20141231 997079 99999 THUNDER BAY ISLAND US MI 45.035 -83.194 175.9 20130101 20200624 997080 99999 CMP24 - WEST FLORIDA CENTRAL BUOY US 27.5 -83.72 0.0 20080101 20180425 997090 99999 MOORED BUOY 42023 26.05 -83.06700000000001 0.0 20080101 20080719 997110 99999 GA-252 TABS B US 28.99 -94.9 3.0 20080101 20180425 997120 99999 MOORED BUOY 42046 27.517 -94.03299999999999 0.0 20080101 20081231 997130 99999 JONESPORT MAINE US 44.27 -67.31 0.0 20080101 20180425 997140 99999 BUOY A0102 - MASS. BAY/STELLWAGEN US 42.52 -70.57 0.0 20080101 20180425 997150 99999 BUOY B0102 - WESTERN MAINE SHELF US 43.18 -70.43 0.0 20080101 20180425 997160 99999 BUOY C0201 - CASCO BAY US 43.57 -70.06 0.0 20080101 20081231 997170 99999 BUOY E0104 - CENTRAL MAINE SHELF US 43.72 -69.36 0.0 20080103 20180425 997171 99999 SITKA US AK 57.052 -135.342 1.0 20130101 20200624 997172 99999 LAMESHUR BAY ST JOHN VQ 18.317999999999998 -64.72399999999999 1.0 20130101 20200624 997173 99999 KAWAIHAE US HI 20.037 -155.829 1.0 20130101 20200624 997174 99999 CHARLESTON US SC 32.782 -79.925 6.0 20130101 20200624 997175 99999 PORT MOLLER US AK 66.986 -160.57399999999998 12.0 20130101 20141231 997176 99999 HOMER SPIT US AK 59.602 -151.417 15.0 20130101 20200624 997177 99999 ICY BAY US AK 59.923 -141.359 15.0 20130101 20200624 997178 99999 MARMION ISLAND US AK 58.198 -134.257 3.0 20130101 20200624 997179 99999 MARY ISLAND US AK 55.099 -131.18200000000002 4.0 20130101 20200624 997180 99999 BUOY F0103 - WEST PENOBSCOT BAY US 44.06 -69.0 0.0 20080101 20180425 997181 99999 BUOY I0103 - EASTERN MAINE SHELF US 44.11 -68.11 0.0 20080101 20180425 997182 99999 BUOY J0201 - COBSCOOK BAY US 44.89 -67.02 0.0 20080101 20081226 997183 99999 BUOY M0102 - JORDAN BASIN US 43.49 -67.88 0.0 20080101 20180425 997184 99999 SCOTIAN SHELF US ME 43.62 -66.55 4.0 20080204 20081117 997185 99999 CENTRAL LONG ISLAND SOUND US 41.14 -72.66 0.0 20080101 20180425 997186 99999 WESTERN LONG ISLAND SOUND US 40.96 -73.58 0.0 20080101 20180112 997187 99999 POINT SAPIN CA 46.85 -64.64 3.0 20080101 20180425 997189 99999 NE BURGEO BANK CA 47.28 -57.35 3.0 20080127 20081231 997190 99999 LAKE ONTARIO BUOY - 20NM NORTH NORTHEAST US 43.62 -77.41 74.7 20080517 20081125 997191 99999 LAKE WINNIPEG S. BASIN CA 50.79 -96.73 217.0 20080530 20081031 997192 99999 SOUTH GEORGIAN BAY CA 44.94 -80.63 176.0 20080503 20081026 997193 99999 LAKE WINNIPEG NORTH CA 53.2 -98.83 217.0 20080616 20080929 997194 99999 LAKE OF THE WOODS CA 49.7 -94.52 323.0 20080513 20081010 997195 99999 SOUTHERN LAKE HURON CA 43.54 -82.07 176.0 20080419 20081023 997196 99999 LAKE SIMCOE CA 44.5 -79.37 180.0 20080530 20080929 997197 99999 LAKE NIPISSING CA 46.23 -79.72 176.0 20080507 20081103 997198 99999 PORT ORFORD - 16 NM WEST OF PORT ORFORD US 42.75 -124.85 0.0 20080101 20081231 997199 99999 SOUTH SANTA ROSA ISLAND CA US 33.65 -120.2 3.0 20080101 20180425 997200 99999 MOORED BUOY 46072 51.617 -172.017 0.0 20080101 20081231 997201 99999 SHUMAGIN ISLANDS US 53.93 -160.81 3.0 20080101 20180425 997202 99999 ALBATROSS BANKS US 56.05 -152.45 3.0 20080101 20180425 997203 99999 WESTERN PRINCE WILLIAM SOUND US 60.8 -148.28 3.0 20080101 20180407 997204 99999 CAPE SUCKLING 84NM SOUTHEAST OF CORDOVA US 59.69 -143.42 0.0 20080101 20180425 997205 99999 CAPE EDGECUMBE BUOY US 56.59 -136.16 0.0 20080101 20081231 997206 99999 SAN CLEMENTE BASIN US 32.5 -118.0 3.0 20080101 20180425 997207 99999 NEW DUNGENESS WA (HEIN BANK) US 48.33 -123.17 3.0 20080101 20180425 997209 99999 ATLANTIC CITY MARINA NJ US 39.38 -74.42 0.0 20040803 20081231 997210 99999 AVALON NJ US 39.09 -74.72 0.0 20040803 20081231 997211 99999 TAS - TARPON SPRINGS FL US 28.15 -82.75 0.0 20040904 20141231 997212 99999 BRANT BEACH NJ US 39.61 -74.2 0.0 20040803 20081231 997214 99999 PI-745 TABS K US 26.13 -96.31 3.0 20040907 20180425 997215 99999 MOORED BUOY 43110 59.5 -1.5 0.0 20041220 20041220 997216 99999 BUOY N - NORTHEAST CHANNEL US 42.31 -65.93 0.0 20040907 20081231 997217 99999 MOORED BUOY 44546 50.3 -74.2 0.0 20040908 20080304 997218 99999 PORT COLBORNE CA 42.74 -79.35 180.0 20040907 20081120 997219 99999 LAKE ST CLAIR CA 42.43 -82.68 178.0 20040907 20081205 997220 99999 MOORED BUOY 46779 55.417 -15.232999999999999 0.0 20040907 20041210 997224 99999 30NM SOUTHWEST OF MIZEN HEAD EI 51.277 -10.55 2.5 20040907 20081231 997225 99999 DONEGAL BAY EI 55.0 -10.0 4.5 20040907 20081231 997226 99999 MOORED BUOY 62131 58.1 0.1 0.0 20040908 20081231 997227 99999 MOORED BUOY 62140 57.4 1.3 0.0 20041002 20080126 997228 99999 MOORED BUOY 62168 53.417 2.917 0.0 20040908 20081216 997229 99999 MOORED BUOY 62202 52.2 3.8 0.0 20040908 20041230 997230 99999 MOORED BUOY 62206 53.3 2.917 0.0 20040907 20080222 997232 99999 MOORED BUOY 63055 60.6 1.7 0.0 20041002 20081231 997233 99999 MOORED BUOY 64049 UK 57.1 2.2 0.0 20040907 20081231 997234 99999 LAKE WINNIPEG NARROWS CA 51.45 -96.7 217.0 20080613 20081031 997235 99999 ISLE DERNIERES LA / CSI05 US 29.05 -90.53 0.0 20040921 20081231 997236 99999 MARSH ISLAND LA / CSI03 US 29.44 -92.06 0.0 20040922 20200413 997238 99999 SALT POINT LA / CSI14 US 29.52 -91.55 0.0 20040921 20041231 997239 99999 SOUTH TIMBALIER BLOCK 52 LA / CSI06 US 28.87 -90.48 0.0 20040921 20200413 997241 99999 PLATFORM NO. 63106 US 61.016999999999996 1.117 3.0 20080103 20180425 997243 99999 NEAH BAY WA (TRAFFIC SEPARATION LIGHTED US 48.49 -124.73 3.0 20080101 20180425 997246 99999 MOORED BUOY 62159 58.2 0.017 0.0 20080101 20081231 997248 99999 MOORED BUOY 13600 21.9 -44.2 0.0 20180101 20180425 997252 99999 DATA BUOY 62147 UK 57.6 1.7 30.0 20080305 20081103 997253 99999 U.S. NAVY TOWER M2R6 US 31.53 -80.24 0.0 20041109 20081231 997254 99999 9063020 - BUFFALO NY US 42.88 -78.89 178.3 20041122 20200624 997255 99999 9087044 - CALUMET IL US 41.73 -87.54 179.4 20041122 20200624 997256 99999 DESDEMONA SANDS LIGHT OR US 46.23 -123.96 10.0 20041122 20041231 997257 99999 9075099 - DE TOUR VILLAGE MI US 45.99 -83.9 179.6 20041122 20200624 997258 99999 9014098 - FORT GRATIOT MI US 43.01 -82.42 180.1 20041122 20200624 997259 99999 9099090 - GRAND MARAIS MN US 47.75 -90.34 186.2 20041122 20200624 997260 99999 9075014 - HARBOR BEACH MI US 43.85 -82.64 179.2 20041122 20200624 997261 99999 9087023 - LUDINGTON MI US 43.95 -86.44 179.4 20041122 20200624 997262 99999 9099018 - MARQUETTE C.G. MI US 46.55 -87.38 187.5 20041122 20200624 997263 99999 MARSH ISLAND OR US 46.21 -123.62 7.0 20041122 20041231 997264 99999 9052030 - OSWEGO NY US 43.46 -76.51 78.0 20041122 20200624 997265 99999 9099004 - POINT IROQUOIS MI US 46.49 -84.63 186.1 20041122 20200624 997266 99999 9076024 - ROCK CUT MI US 46.27 -84.19 179.6 20041122 20200624 997267 99999 U.S. NAVY TOWER R4 US 30.8 -80.32 0.0 20041122 20041231 997268 99999 9076070 - S.W. PIER MI US 46.5 -84.37 185.7 20041122 20200624 997269 99999 DULUTH US 46.78 -92.09 185.4 20080101 20081231 997270 99999 ATLANTIC CITY US NJ 39.35 -74.42 10.0 20080101 20200624 997271 99999 THE BATTERY US NY 40.701 -74.014 10.0 20080117 20200624 997272 99999 BERGEN POINT US NY 40.639 -74.146 10.0 20080101 20200624 997273 99999 BORDEN FLATS LIGHT US MA 41.7 -71.17 10.0 20080101 20200624 997274 99999 WOODS HOLE US MA 41.52 -70.67 10.0 20080101 20200624 997275 99999 PORTLAND US ME 43.65 -70.25 10.0 20080101 20200624 997276 99999 CAPE MAY US NJ 38.97 -74.97 10.0 20080101 20130430 997277 99999 CONIMUCUT LIGHT US RI 41.72 -71.33 10.0 20080101 20200624 997278 99999 PROVIDENCE US RI 41.8 -71.4 10.0 20080101 20200624 997279 99999 FALL RIVER US MA 41.7 -71.0 10.0 20080101 20200624 997280 99999 KINGS POINT US NY 40.8 -73.77 10.0 20080101 20200624 997281 99999 LEWES US DE 38.78 -75.12 10.0 20080101 20200624 997282 99999 MONTAUK US NY 41.05 -71.97 10.0 20080101 20200624 997283 99999 NEW LONDON US CT 41.35 -72.08 8.5 20080101 20200624 997284 99999 NEW HAVEN US CT 41.28 -72.88 10.0 20080101 20200624 997285 99999 NEWPORT US RI 41.5 -71.32 10.0 20080101 20200624 997286 99999 PHILADELPHIA US PA 39.93 -75.0 20.0 20080101 20200624 997287 99999 EASTPORT US ME 44.9 -66.98 10.0 20080101 20200624 997288 99999 QUONSET POINT US RI 41.58 -71.4 10.0 20080102 20200624 997289 99999 SANDY HOOK US NJ 40.47 -74.0 10.0 20080101 20200624 997290 99999 BRIDGEPORT US CT 41.17 -73.18 10.0 20080101 20200624 997291 99999 FOREST OIL HIGH ISLA US LA 28.12 -93.67 34.0 20080101 20101217 997292 99999 LA JOLLA US CA 32.87 -117.25 20.0 20080101 20200624 997293 99999 MARBLEHEAD US OH 41.55 -82.9 190.0 20080101 20200624 997294 99999 POTTER COVE - PRUDENCE ISLAND US RI 41.637 -71.339 3.0 20080101 20200624 997295 99999 TOLEDO US OH 41.68 -83.4 184.0 20080101 20200624 997296 99999 BALTIMORE MD US MD 39.27 -76.57 10.0 20080101 20200624 997297 99999 CAMBRIDGE MD US MD 38.57 -76.07 6.0 20080101 20200624 997298 99999 CHEASAPEAKE BIO LAB US VA 38.317 -76.45 10.0 20070202 20081002 997299 99999 CHEASAPEAKE BRIDGE US VA 36.97 -76.12 16.0 20080101 20141231 997300 99999 CHEASAPEAKE CITY US MD 39.52 -75.8 10.0 20080101 20200624 997301 99999 FT PALASKI US GA 32.03 -80.9 6.0 20080101 20200624 997302 99999 FRANCIS SCOTT KEY BR US MD 39.22 -76.52 10.0 20080101 20200624 997304 99999 LEWISETTA VA US VA 37.98 -76.47 10.0 20080101 20200624 997305 99999 MONEY POINT VA US VA 36.77 -76.3 10.0 20080101 20200624 997306 99999 SPRINGMAID PIER US SC 33.65 -78.92 10.0 20080124 20180425 997307 99999 OREGON INLET MARINA US NC 35.8 -75.53 10.0 20080101 20200624 997308 99999 RAPPAHANNOCK LGT US VA 37.53 -76.02 10.0 20080101 20200624 997309 99999 SOLOMONS ISLAND US MD 38.32 -76.45 10.0 20080101 20200624 997310 99999 SUNSET BEACH NC US NC 33.87 -78.5 10.0 20080101 20080317 997312 99999 TOLCHESTER BEACH US MD 39.2 -76.23 10.0 20080101 20200624 997313 99999 WACHAPREAGUE US VA 37.6 -75.68 10.0 20080101 20200624 997314 99999 WASHINGTON US DC 38.87 -77.02 10.0 20080101 20200624 997315 99999 YORKTOWN VA US VA 37.22 -76.48 10.0 20080101 20200624 997316 99999 GRAYS HARBOR WA (036) US 46.86 -124.24 0.0 20080101 20180425 997317 99999 HUMBOLDT BAY SOUTH SPIT CA (128) US 40.75 -124.31 0.0 20080101 20081231 997318 99999 CAPE MENDOCINO CA (094) US 40.29 -124.74 0.0 20080101 20180425 997319 99999 POINT REYES CA (029) US 37.57 -123.28 0.0 20080101 20180122 997320 99999 DIABLO CANYON CA (076) US 35.21 -120.86 0.0 20080101 20180425 997321 99999 GOLETA POINT CA (107) US 34.33 -119.8 0.0 20080101 20081231 997322 99999 ANACAPA PASSAGE CA (111) US 34.17 -119.43 0.0 20080101 20180425 997323 99999 HARVEST CA (071) US 34.45 -120.78 0.0 20080101 20180425 997324 99999 SAN NICOLAS ISLAND CA (067) US 33.22 -119.88 0.0 20180101 20180425 997326 99999 SANTA MONICA BAY CA (028) US 33.85 -118.63 0.0 20080101 20180425 997327 99999 SAN PEDRO CA (092) US 33.62 -118.32 0.0 20080101 20180425 997328 99999 DANA POINT CA (096) US 33.46 -117.77 0.0 20080101 20081231 997329 99999 OCEANSIDE OFFSHORE CA (045) US 33.18 -117.47 0.0 20080101 20180425 997330 99999 TORREY PINES OUTER CA (100) US 32.93 -117.39 0.0 20080101 20180425 997334 99999 WAIMEA BAY HI (106) US 21.67 -158.12 0.0 20080101 20180328 997335 99999 MOKAPU POINT HI (098) US 21.42 -157.68 0.0 20080101 20180425 997336 99999 IPAN GUAM (121) US 13.54 144.79 0.0 20080101 20180425 997337 99999 CALCASIEU PASS US LA 29.768 -93.34299999999999 3.0 20080101 20200624 997338 99999 CHICAGO US IL 42.0 -87.5 202.0 20080101 20200624 997339 99999 MICHIGAN CITY US IN 41.73 -86.93 197.0 20080102 20200624 997340 99999 KENOSHA US WI 42.58 -87.8 196.0 20080101 20200624 997341 99999 MUSKEGON US MI 43.23 -86.33 185.0 20080101 20200624 997342 99999 MILWAUKEE US WI 43.05 -87.88 188.0 20080327 20200624 997343 99999 SOUTH HAVEN US MI 42.4 -86.28 193.0 20080101 20200624 997344 99999 TOLEDO LIGHT 2 US OH 41.82 -83.18 188.0 20080101 20200624 997345 99999 CLEARWATER BEACH US FL 27.97 -82.83 10.0 20080101 20200624 997346 99999 FT MYERS US FL 26.65 -81.87 6.0 20080101 20200624 997347 99999 FERNANDINA BEACH US FL 30.67 -81.47 7.0 20080101 20200624 997348 99999 KEY WEST US FL 24.55 -81.8 7.0 20080101 20200624 997349 99999 LIME TREE BAY VQ 17.7 -64.75 10.0 20080101 20200624 997350 99999 MAGUESYES ISLANDS RQ 17.97 -67.05 5.0 20080101 20200624 997351 99999 NAPLES US FL 26.12 -81.8 10.0 20080101 20200624 997352 99999 PANAMA CITY BEACH US FL 30.22 -85.88 10.0 20080101 20200624 997353 99999 ST PETERSBURG US FL 27.75 -82.62 10.0 20080101 20200624 997354 99999 TRIDENT PIER US FL 28.42 -80.58 10.0 20080101 20200624 997355 99999 VIRGINIA KEY US FL 25.73 -80.15 10.0 20100101 20200624 997356 99999 VACA KEY US FL 24.72 -81.1 10.0 20080101 20200624 997357 99999 MCKAY BAY ENTRANCE US FL 27.913 -82.425 2.0 20080101 20200520 997358 99999 MAYPORT US FL 30.397 -81.43 2.0 20080101 20200624 997359 99999 ALPENA US MI 45.067 -83.417 179.0 20080324 20200624 997360 99999 BAYOU GAUCHE US LA 29.77 -90.42 10.0 20080101 20200624 997361 99999 EAGLE POINT US TX 29.48 -94.92 10.0 20080101 20200624 997362 99999 FREEPORT US TX 28.95 -95.3 0.0 20080101 20080319 997363 99999 GALVESTON PLEASURE US TX 29.28 -94.78 17.0 20080101 20101231 997364 99999 GALVESTON PIER 21 US TX 29.3 -94.78 0.0 20080101 20200624 997365 99999 BAYOU LABRANCH US LA 30.05 -90.37 10.0 20080101 20101231 997366 99999 MALAQUITE BEACH US TX 27.58 -97.22 10.0 20080101 20200624 997367 99999 WAVELAND US MS 30.283 -89.367 10.0 20050405 20050829 997368 99999 SABINE PASS NORTH US TX 29.73 -93.87 3.0 20080101 20200624 997369 99999 PORT ISABEL US TX 26.05 -97.22 10.0 20080101 20200624 997370 99999 MORGANS POINT US TX 29.68 -94.98 10.0 20080101 20200624 997371 99999 KIPTOPEKE US VA 37.17 -75.98 7.0 20080101 20200624 997372 99999 REEDY POINT US DE 39.9 -75.57 0.0 20080101 20200624 997373 99999 WESTERN ALEUTIANS US 51.32 179.1 3.0 20080609 20081231 997374 99999 MOORED BUOY 46089 US 45.88 -125.77 4.0 20080101 20180425 997375 99999 MOORED BUOY 46092 US CA 36.75 -122.02 4.0 20080101 20180425 997376 99999 MOORED BUOY 46093 US CA 36.68 -122.4 4.0 20080101 20081231 997377 99999 FRIPP NEARSHORE (FRP 2) US 32.28 -80.41 3.0 20080101 20180425 997378 99999 CAPERS MID-SHELF (CAP 3) US 32.52 -79.34 3.0 20080110 20080428 997379 99999 SAND ISLAND MIDWAY US 28.2 -117.35 4.0 20080101 20200624 997380 99999 ADAK ISLAND US AK 51.87 -176.63 7.0 20080101 20200624 997381 99999 ANCHORAGE US AK 61.23 -149.88 3.0 20080101 20200624 997382 99999 NIKISKI AK US AK 60.68 -151.4 8.0 20080101 20200624 997383 99999 NOME NORTON SOUND US AK 64.5 -165.42 8.0 20080101 20200624 997384 99999 MOLUOLOE US HI 20.9 -156.47 4.0 20080101 20200624 997385 99999 KWAJALEIN ISLAND US 8.73 167.73 3.0 20080101 20200624 997386 99999 PRUDHOE BAY US AK 70.4 -148.52 5.0 20080101 20200624 997387 99999 WAKE ISLAND WQ 19.28 166.62 5.0 20080101 20200624 997388 99999 CAPERS NEARSHORE (CAP 2) US 32.81 -79.63 3.0 20080101 20180425 997389 99999 SUNSET NEARSHORE US NC 33.848 -78.48899999999999 3.0 20080101 20180425 997391 99999 W. FL SEA-COOS US 25.25 -82.21 0.0 20080101 20080113 997392 99999 MOORED BUOY 46091 US CA 36.83 -121.9 3.0 20080101 20081231 997394 99999 MOORED BUOY 46229 US CA 43.4 -124.65 0.0 20080101 20180425 997395 99999 YUCATAN BASIN MX 19.874000000000002 -85.059 0.0 20080101 20180425 997396 99999 MOORED BUOY 41040 US 14.5 -53.02 3.0 20080101 20180425 997397 99999 MOORED BUOY 41041 US 14.5 -46.0 3.0 20080101 20180425 997398 99999 BUOY 42055 / BAY OF CAMPECHE US 22.02 -94.05 3.0 20080101 20180425 997399 99999 BUOY 42057 / WESTERN CARIBBEAN US 14.98 -79.98 3.0 20080501 20180425 997400 99999 BUOY 42058 / CENTRAL CARIBBEAN US 14.98 -74.98 3.0 20080503 20180425 997405 99999 BUOY48542 (ICEXAIR) US 71.25 -151.82 3.0 20080807 20081218 997408 99999 BUOY48618 (ICEXAIR) 79.083 -160.11700000000002 3.0 20080102 20081101 997409 99999 BUOY48544 (ICEXAIR) US 81.32 -139.2 3.0 20080108 20080405 997411 99999 BUOY48551 (ICE MASS 74.25 -142.3 3.0 20080101 20081230 997415 99999 BUOY48543 (ICEXAIR) 78.917 -135.017 3.0 20080807 20081230 997416 99999 BUOY48536 (ICEXAIR) 81.9 -94.417 3.0 20080816 20081231 997417 99999 BUOY25529 (ICEXAIR) US 78.18 -167.33 3.0 20080102 20081210 997418 99999 BUOY25530 (ICEXAIR) US 80.13 -179.63 3.0 20080102 20081121 997423 99999 BUOY 47501 (CES) US 78.37 -127.55 3.0 20080331 20080806 997433 99999 ONSLOW BAY INNER US NC 34.476 -77.28 3.0 20080101 20081231 997434 99999 MOORED BUOY 41038 US 34.0 -77.72 3.0 20080101 20180425 997435 99999 HI-A389 TABS V US 27.54 -93.36 3.0 20080714 20180425 997439 99999 MOORED BUOY 44022 US 40.88 -73.73 4.0 20080101 20180107 997441 99999 DATA BUOY 13534 US 32.8 -27.4 3.0 20080104 20081022 997443 99999 MOORED BUOY 21636 US 27.9 128.2 3.0 20080211 20081022 997444 99999 DRIFTING BUOY 21637 20080101 20180425 997445 99999 MOORED BUOY 21639 41.0 150.8 3.0 20080626 20080806 997454 99999 MOORED BUOY 44549 US 54.9 -22.9 3.0 20080102 20080516 997455 99999 MOORED BUOY 44550 50.4 -29.5 3.0 20080101 20080721 997456 99999 MOORED BUOY 44601 51.5 -30.9 3.0 20080101 20080509 997457 99999 MOORED BUOY 44607 40.3 -33.7 3.0 20080111 20080410 997458 99999 MOORED BUOY 44608 US 40.0 -32.0 3.0 20080101 20080219 997459 99999 MOORED BUOY 44609 47.9 -25.8 3.0 20080101 20080221 997460 99999 MOORED BUOY 44610 53.4 -37.7 3.0 20080101 20080623 997461 99999 MOORED BUOY 44611 55.0 -25.7 3.0 20080102 20080830 997462 99999 MOORED BUOY 44612 US 60.1 15.3 3.0 20080315 20081231 997463 99999 MOORED BUOY 44615 US 46.2 -48.0 3.0 20080315 20081230 997466 99999 MOORED BUOY 44725 US 55.5 -43.9 3.0 20080125 20081231 997467 99999 MOORED BUOY 44726 50.1 -47.3 3.0 20080314 20081231 997468 99999 MOORED BUOY 44727 US 43.6 -34.6 3.0 20080310 20081231 997469 99999 MOORED BUOY 44728 US 48.8 -28.4 3.0 20080310 20081231 997470 99999 MOORED BUOY 44729 US 46.4 -55.1 3.0 20080310 20081231 997471 99999 MOORED BUOY 44743 US 39.7 -11.5 3.0 20080421 20081231 997472 99999 MOORED BUOY 44744 US 36.9 -14.8 3.0 20081030 20081125 997473 99999 MOORED BUOY 44775 US 58.1 -15.9 3.0 20081208 20081231 997476 99999 MOORED BUOY 44833 US 44.2 -63.5 3.0 20080102 20081218 997478 99999 MOORED BUOY 44843 US 64.0 -30.5 3.0 20080102 20180425 997480 99999 MOORED BUOY 44845 US 44.1 -49.3 3.0 20080102 20080225 997483 99999 MOORED BUOY 44850 US 44.4 -40.6 3.0 20080130 20081230 997484 99999 MOORED BUOY 44901 US 42.7 -42.0 3.0 20080103 20081208 997486 99999 MOORED BUOY 46539 50.4 -134.4 3.0 20080116 20081223 997487 99999 MOORED BUOY 46562 US 47.7 -145.0 3.0 20080120 20081223 997488 99999 MOORED BUOY 46635 47.7 -142.1 3.0 20080207 20080803 997489 99999 MOORED BUOY 46637 60.5 -145.7 3.0 20080103 20080216 997490 99999 DRIFTING BUOY CA 20080907 20081214 997491 99999 MOORED BUOY 46702 50.3 -166.2 3.0 20080106 20080908 997492 99999 MOORED BUOY 46707 49.7 -135.3 3.0 20080103 20081231 997499 99999 MOORED BUOY 62502 46.4 -5.3 3.0 20080618 20081218 997500 99999 MOORED BUOY 62503 45.7 -4.9 3.0 20080101 20081031 997501 99999 MOORED BUOY 62504 US 46.8 -8.2 3.0 20080102 20080516 997502 99999 MOORED BUOY 62510 US 35.2 -23.0 3.0 20080303 20081221 997507 99999 MOORED BUOY 62557 US 29.3 -22.8 3.0 20080630 20081231 997509 99999 MOORED BUOY 62901 US 53.6 -17.3 3.0 20080918 20081215 997510 99999 MOORED BUOY 62926 45.1 -6.5 3.0 20080915 20081121 997520 99999 MOORED BUOY 21917 28.1 179.0 3.0 20080103 20080222 997530 99999 MOORED BUOY 41566 30.6 -68.9 3.0 20080930 20080930 997535 99999 MOORED BUOY 41910 26.4 -68.1 3.0 20081214 20081230 997539 99999 MOORED BUOY 41931 34.7 -70.1 3.0 20080913 20080916 997540 99999 MOORED BUOY 41934 24.9 -69.4 3.0 20180403 20180403 997545 99999 DATA BUOY 46538 US 49.4 -136.8 3.0 20080106 20180425 997546 99999 DATA BUOY 46559 US 41.7 -142.4 3.0 20080130 20081223 997549 99999 DATA BUOY 46565 US 44.9 -163.7 3.0 20180101 20180425 997550 99999 DATA BUOY 46566 51.4 -160.7 3.0 20080121 20081223 997553 99999 DATA BUOY 46632 53.6 -134.5 3.0 20080207 20080320 997555 99999 DATA BUOY 46698 CA 52.1 -154.0 3.0 20080320 20081214 997595 99999 DATA BUOY 62931 42.7 -10.1 3.0 20080815 20081216 997596 99999 DATA BUOY 62935 US 45.0 -31.3 3.0 20080816 20081123 997598 99999 DATA BUOY 21641 36.8 152.6 3.0 20080519 20080627 997600 99999 DATA BUOY 21910 US 37.0 134.4 3.0 20080130 20081029 997601 99999 MOORED BUOY 21915 38.5 134.2 3.0 20180101 20180425 997604 99999 MOORED BUOY 21929 36.2 -179.5 3.0 20080105 20080105 997605 99999 DATA BUOY 21933 37.7 135.6 3.0 20080103 20081214 997607 99999 DATA BUOY 21939 US 38.0 157.7 3.0 20080101 20081231 997610 99999 MOORED BUOY 21948 44.2 166.2 3.0 20080102 20080408 997612 99999 MOORED BUOY 21950 43.3 156.2 3.0 20180101 20180425 997613 99999 DRIFTER / ARGOS 90124 20180101 20180425 997614 99999 DRIFTER / ARGOS 90120 20080101 20080503 997615 99999 DATA BUOY 21958 US 44.6 175.2 3.0 20080102 20081223 997617 99999 DRIFTER / ARGOS 90128 20180101 20180425 997630 99999 MOORED BUOY 21903 40.8 154.8 3.0 20080711 20080711 997639 99999 MOORED BUOY 21937 38.0 138.7 3.0 20080101 20081231 997643 99999 DATA BUOY 21955 US 46.0 164.9 3.0 20180101 20180425 997657 99999 MOORED BUOY 41901 23.4 -71.3 3.0 20080904 20080924 997661 99999 MOORED BUOY 43555 30.6 -113.8 3.0 20180101 20180425 997671 99999 DATA BUOY 44847 US 41.5 -29.6 3.0 20080102 20081121 997672 99999 DATA BUOY 46563 US 40.9 -142.5 3.0 20080121 20081229 997674 99999 DATA BUOY 46652 31.0 -130.3 3.0 20080103 20080714 997686 99999 FRIPPS INLET US SC 32.33 -80.45 3.0 20080101 20080313 997687 99999 BURLINGTON DEL RIVER US NJ 40.08 -74.88 9.0 20080101 20200624 997688 99999 BISHOPS HEAD US MD 38.22 -76.03 3.0 20080101 20200624 997689 99999 BRANDYWINE SHOAL LGT US DE 38.98 -75.1 3.0 20080101 20200624 997691 99999 CAPE HENRY US VA 36.93 -76.02 3.0 20080101 20200624 997692 99999 CLEVELAND US OH 41.53 -81.63 210.0 20080101 20200624 997693 99999 S CRANEY ISLAND US VA 36.88 -76.33 3.0 20080101 20200624 997694 99999 DELAWARE CITY US DE 39.58 -75.58 8.0 20080101 20200624 997695 99999 JOHN MERCER PIER US NC 34.2 -77.83 3.0 20080101 20200624 997696 99999 LA PUSH US WA 47.92 -124.63 3.0 20080101 20200624 997697 99999 LITTLE RAPIDS US MI 46.48 -84.3 185.0 20080101 20200624 997698 99999 NEWBOLD US PA 40.8 -74.75 18.0 20080101 20200624 997699 99999 PAGO PAGO AQ -14.28 -170.7 3.0 20080101 20200131 997701 99999 PORT MANATEE US FL 27.63 -82.57 3.0 20080101 20200624 997702 99999 PINEY POINT US MD 38.13 -76.53 3.0 20080101 20200624 997703 99999 PILOT STATION EAST US LA 28.92 -89.4 3.0 20080101 20200624 997704 99999 RED DOG DOCK US AK 67.57 -164.65 3.0 20080101 20200624 997705 99999 OLD PORT TAMPA US FL 27.85 -82.55 9.0 20080101 20200624 997706 99999 GARIBALDI TILLAMOOK US OR 45.55 -123.9 3.0 20080101 20200624 997707 99999 WELLS US ME 43.32 -70.55 6.0 20080101 20200624 997708 99999 YORK RIVER E RANGE US VA 37.25 -76.33 10.0 20080101 20200624 997709 99999 S CAPERS ISLAND US SC 32.85 -79.7 10.0 20080101 20080309 997712 99999 DATA BUOY 21907 30.9 153.4 3.0 20080101 20080712 997713 99999 DATA BUOY 41027 US 33.3 -78.13 3.0 20080210 20080211 997722 99999 DRIFTING BUOY 44722 US 20080115 20081018 997723 99999 DATA BUOY 44730 61.4 -37.3 3.0 20080313 20080704 997724 99999 DRIFTING BUOY 44742 US 20080415 20081231 997725 99999 DRIFTING BUOY 44745 US 20080104 20180425 997726 99999 DATA BUOY 44746 41.3 -43.4 3.0 20180101 20180425 997727 99999 DRIFTING BUOY 44747 US 20080101 20080421 997729 99999 GALVESTON BAY N JETY US TX 29.35 -94.72 3.0 20080101 20200624 997731 99999 GRAND TRAVERSE LIGHT US MI 45.2 -85.55 184.0 20080101 20200624 997732 99999 PORTAGE CANAL US MI 47.27 -88.53 198.0 20080101 20200106 997733 99999 PULASKI SHOAL LIGHT US FL 24.68 -82.77 16.0 20080101 20200325 997734 99999 TIBURON PIER US CA 37.92 -122.45 3.0 20080101 20200624 997735 99999 WAUKEGAN HARBOR US IL 42.35 -87.82 188.0 20080101 20191027 997736 99999 PORT WASHINGTON US WI 43.38 -87.87 180.0 20080101 20200624 997737 99999 SILVER BAY US MN 47.27 -91.08 198.0 20080102 20200624 997738 99999 SAXON HARBOR US WI 46.57 -90.43 186.0 20080102 20200624 997739 99999 GRAND MARAIS US MI 46.667 -85.96700000000001 191.0 20080101 20200624 997741 99999 KEWAUNEE US WI 44.45 -87.48299999999999 178.0 20080101 20200624 997742 99999 MIDDLE BAY LIGHT US AL 30.433000000000003 -88.0 14.0 20130101 20200624 997743 99999 ROBINS REEF US NJ 40.65 -74.067 72.0 20080101 20200624 997779 99999 SHIP JOHN SHOAL US NJ 39.3 -75.367 3.0 20080101 20200624 997781 99999 COVE POINT US MD 38.717 -76.65 2.0 20080101 20200624 997782 99999 DOMINION TERMINAL ASSOCIATION US VA 36.967 -76.417 2.0 20080101 20200624 997783 99999 GODWIN ISLAND MET STATION US VA 37.217 -76.4 4.0 20080101 20081231 997784 99999 MEAHER PARK US AL 30.65 -87.93299999999999 10.0 20080101 20200624 997785 99999 MENOMINEE US MI 45.1 -87.583 178.0 20080101 20200624 997786 99999 VIMS PIER US VA 37.25 -76.5 5.0 20080103 20081231 997787 99999 BURNS HARBOR US IN 41.65 -87.15 182.0 20080101 20200624 997788 99999 CAPE DECISION US AK 56.0 -134.13299999999998 17.0 20080101 20200624 997789 99999 ELDRED ROCK US AK 58.967 -135.217 19.0 20080103 20200624 997791 99999 BERTH 223 MET US FL 27.916999999999998 -82.43299999999999 14.0 20080101 20140414 997792 99999 FAIRPORT US MI 45.617 -86.65 186.0 20080101 20200624 997793 99999 NAUBINWAY US MI 46.083 -85.43299999999999 180.0 20080101 20200624 997794 99999 OCEAN CREST PIER US NC 33.9 -78.15 12.0 20080103 20141231 997795 99999 ONTONAGON US MI 46.867 -89.333 186.0 20080101 20200624 997796 99999 POINT BISHOP US AK 58.2 -134.13299999999998 5.0 20080101 20200624 997797 99999 POINT RETREAT US AK 58.4 -134.95 32.0 20080101 20200624 997798 99999 SOUTH DOUGLAS US AK 58.266999999999996 -134.433 4.0 20080101 20200624 997799 99999 SISTERS ISLAND US AK 58.167 -135.25 51.0 20080129 20200624 997801 99999 LONGVIEW US WA 46.1 -122.95 3.0 20080101 20200624 997802 99999 BIG SABLE POINT US MI 44.05 -86.51700000000001 186.0 20080101 20200624 997803 99999 PORT WING US MI 46.783 -91.383 186.0 20080101 20200624 997804 99999 CAPE SPENCER US AK 58.2 -136.63299999999998 26.0 20080101 20200624 997805 99999 WAVERIDER BUOY US 30.717 -81.283 0.0 20080101 20180425 997806 99999 CDIP BUOY US FL 28.4 -80.533 0.0 20080101 20180425 997807 99999 FORT PIERCE US FL 27.55 -80.217 0.0 20080101 20180425 997808 99999 M6-WEST COAST EI 53.056000000000004 -15.924000000000001 3.0 20080101 20180425 997809 99999 CORONADO ISLAND MX 32.417 -117.31700000000001 3.0 20080101 20180425 997810 99999 BRUTUS GREEN CANYON 158 US LA 27.8 -90.667 37.0 20080101 20081102 997813 99999 SW BERING SEA US AK 55.0 175.283 3.0 20080101 20081231 997814 99999 SHELIKOF STRAIT US AK 57.917 -154.25 3.0 20080101 20180425 997815 99999 DRIFTING BUOY 13516 US 20180101 20180323 997818 99999 DRIFTING BUOY 13601 US 20180101 20180111 997819 99999 DRIFTING BUOY 13603 US 20180101 20180425 997832 99999 DRIFTING BUOY 21596 US 20080725 20080725 997833 99999 DRIFTING BUOY 22588 US 20081121 20081214 997834 99999 DRIFTING BUOY 25534 US 20080727 20081231 997840 99999 DRIFTING BUOY 41558 US 20180101 20180425 997848 99999 DATA BUOY 42361 US 27.55 -92.48299999999999 37.0 20080724 20180425 997852 99999 DATA BUOY 44053 US VA 37.233000000000004 -76.5 3.0 20080724 20081231 997853 99999 DATA BUOY 44054 US DE 38.883 -75.183 0.0 20080801 20081231 997856 99999 DRIFTING BUOY 41681 US 20080913 20081021 997858 99999 DRIFTING BUOY 41683 US 20080913 20081231 997865 99999 DRIFTING BUOY 41902 US 20080901 20080906 997867 99999 DRIFTING BUOY 41906 US 20080918 20080918 997877 99999 DRIFTING BUOY 43529 US 20080918 20081214 997886 99999 DRIFTING BUOY 44617 US 20080724 20080909 997887 99999 DRIFTING BUOY 44620 US 20080724 20081231 997888 99999 DRIFTING BUOY 44621 US 20080724 20081231 997892 99999 DRIFTING BUOY 44625 US 20080724 20081231 997894 99999 DRIFTING BUOY 44761 US 20080724 20081231 997895 99999 DRIFTING BUOY 44762 US 20080724 20081231 997896 99999 DRIFTING BUOY 44763 US 20080725 20081230 997897 99999 DRIFTING BUOY 44765 US 20080910 20180411 997899 99999 DRIFTING BUOY 44770 US 20080919 20081231 997901 99999 DRIFTING BUOY 44771 US 20080918 20081231 997902 99999 DRIFTING BUOY 44772 US 20081204 20081231 997903 99999 DRIFTING BUOY 44774 US 20081204 20081231 997904 99999 DRIFTING BUOY 44776 US 20081208 20180425 997905 99999 DRIFTING BUOY 44778 US 20180101 20180425 997909 99999 DRIFTING BUOY 44848 US 20080802 20081219 997911 99999 DRIFTING BUOY 44903 US 20080724 20081231 997913 99999 DRIFTING BUOY 44910 US 20081012 20081231 997914 99999 DRIFTING BUOY 44914 US 20081010 20081010 997915 99999 DRIFTING BUOY 44918 US 20080923 20081217 997916 99999 DRIFTING BUOY 44919 US 20080802 20081230 997917 99999 DRIFTING BUOY 44920 US 20081001 20081208 997919 99999 DRIFTING BUOY 44922 US 20081204 20081231 997939 99999 DRIFTING BUOY 48522 US 20080724 20081230 997940 99999 DRIFTING BUOY US 20180111 20180419 997941 99999 DRIFTING BUOY 48523 US 20080724 20081125 997944 99999 DRIFTING BUOY 48592 US 20080724 20081230 997945 99999 DRIFTING BUOY 48621 US 20080725 20081229 997949 99999 DRIFTING BUOY 48636 US 20080725 20081230 997952 99999 DRIFTING BUOY 51802 US 20180101 20180425 997953 99999 DRIFTING BUOY 51809 US 20180101 20180425 997957 99999 DRIFTING BUOY 52620 US 20080911 20081223 997958 99999 DRIFTING BUOY 52666 US 20080724 20180425 997973 99999 DRIFTING BUOY 62508 US 20081122 20081218 997976 99999 DRIFTING BUOY 62934 US 20080816 20081210 997981 99999 FOLLY BEACH PIER US SC 32.65 -79.933 3.0 20080131 20100916 997982 99999 PORT INLAND US MI 45.967 -85.867 180.0 20080101 20200624 997983 99999 DATA BUOY 41037 US NC 33.983000000000004 -77.35 3.0 20080724 20180425 997984 99999 DATA BUOY 46094 US OR 44.633 -124.3 3.0 20080724 20080917 997986 99999 DATA BUOY 41043 US 20.983 -65.017 3.0 20080724 20180425 997987 99999 DATA BUOY 42059 US 15.0 -67.483 3.0 20180101 20180425 997988 99999 BIG BAY US MI 46.817 -87.71700000000001 185.0 20080101 20200624 997989 99999 OLCOTT HARBOR US NY 43.333 -78.717 83.0 20080101 20200624 997990 99999 ACE BASIN RESERVE US SC 32.55 -80.45 5.0 20080101 20200624 997991 99999 HUDSON RIVER RESERVE US NY 42.016999999999996 -73.917 12.0 20080101 20200624 997992 99999 APALACHICOLA RESERVE US FL 29.783 -84.883 5.0 20080101 20200624 997993 99999 GREAT BAY RESERVE US NH 43.05 -70.833 3.0 20080101 20200624 997994 99999 CHESAPEAKE BAY US MD 38.766999999999996 -76.7 3.0 20080101 20200624 997995 99999 SOUTH SLOUGH RESERVE US OR 43.35 -124.31700000000001 13.0 20080115 20141119 997996 99999 ST CLAIR SHORES US MI 42.467 -82.867 180.0 20080101 20200624 997997 99999 ELKHORN SLOUGH RESERVE US CA 36.817 -121.73299999999999 3.0 20080101 20200624 997999 99999 GENEVA ON THE LAKE US OH 41.85 -80.967 186.0 20080101 20200624 998000 99999 GUANA TOLOMATO MATANZAS US FL 29.65 -81.217 4.0 20080101 20200624 998001 99999 HURON LIGHT US OH 41.4 -82.55 184.0 20080101 20200624 998002 99999 JACQUES COUSTEAU RESERVE US NJ 39.533 -74.45 12.0 20080101 20200624 998003 99999 JOBOS BAY RESERVE RQ 17.95 -66.233 15.0 20080101 20200624 998004 99999 NARRAGANSETT BAY RESERVE US RI 41.633 -71.333 13.0 20080101 20200624 998005 99999 NORTH INLET-WINYAH BAY US SC 33.35 -79.183 4.0 20080101 20200624 998006 99999 NORTH CAROLINA RESERVE US NC 34.15 -77.85 5.0 20080101 20200624 998007 99999 PADILLA BAY RESERVE US WA 48.467 -122.46700000000001 3.0 20080101 20200624 998008 99999 ROOKERY BAY RESERVE US FL 26.033 -81.7 20.0 20080101 20200624 998009 99999 ROCHESTER US NY 43.25 -77.583 83.0 20080101 20200624 998010 99999 SAPELO ISLAND RESERVE US GA 31.416999999999998 -81.283 5.0 20080101 20200624 998011 99999 SAN FRANCISCO BAY RESERVE US CA 38.217 -122.01700000000001 3.0 20080101 20200624 998012 99999 ST JOSEPH US MI 42.1 -86.48299999999999 184.0 20080101 20200624 998013 99999 TIJUANA RIVER RESERVE US CA 32.575 -117.12700000000001 4.0 20080101 20200624 998014 99999 WAQUIOT BAY RESERVE US MA 41.583 -70.517 10.0 20080101 20200624 998015 99999 WELLS RESERVE US ME 43.333 -70.55 19.0 20080101 20200624 998016 99999 WEEKS BAY RESERVE US AL 30.416999999999998 -87.833 0.0 20080101 20200624 998017 99999 CHESAPEAKE BAY US VA 37.417 -76.717 11.0 20080101 20200624 998153 99999 DATA BUOY 42099 US FL 27.333000000000002 -84.23299999999999 3.0 20180101 20180425 998154 99999 DATA BUOY 44055 US DE 39.117 -75.25 3.0 20080724 20081231 998155 99999 DATA BUOY 44060 US CT 41.266999999999996 -72.067 4.0 20080724 20081231 998157 99999 DATA BUOY 46076 US AK 59.5 -148.0 5.0 20080724 20180425 998158 99999 DATA BUOY 46085 US AK 55.85 -142.55 5.0 20080724 20180425 998159 99999 DATA BUOY 46231 US CA 32.75 -117.367 3.0 20080724 20081231 998160 99999 DATA BUOY 46234 US CA 34.1 -119.167 3.0 20080724 20081231 998161 99999 DATA BUOY 46235 US CA 32.567 -117.167 3.0 20080724 20081231 998162 99999 DATA BUOY 46236 US CA 36.766999999999996 -121.95 3.0 20080724 20081231 998163 99999 DATA BUOY 46237 US CA 37.783 -122.6 3.0 20080724 20180425 998164 99999 DATA BUOY 51203 US HI 30.783 -157.017 3.0 20080724 20081231 998165 99999 MISSION ARANASAS RESERVE US TX 28.133000000000003 -97.03299999999999 5.0 20080101 20200624 998166 99999 CONNEAUT BREAKWATER US OH 41.983000000000004 -80.55 189.0 20080101 20200317 998167 99999 KACHEMAK BAY RESERVE US AK 59.6 -151.417 10.0 20080101 20200624 998168 99999 NIAGARA CG STATION US NY 43.266999999999996 -79.067 243.0 20080101 20190715 998169 99999 DELAWARE RESERVE US DE 39.083 -75.433 5.0 20080101 20200406 998170 99999 BERMUDA ESSO PIER BD 32.367 -64.7 2.0 20080101 20191123 998171 99999 GRAND BAY RESERVE US MS 30.35 -88.417 5.0 20100101 20200624 998172 99999 LINCOLN ROCK US AK 56.05 -132.7 12.0 20100101 20200624 998173 99999 MOSS LANDING S HARBOR US CA 36.8 -121.78299999999999 22.0 20080101 20200624 998174 99999 PORT INGLESIDE US TX 27.816999999999997 -97.2 10.0 20080115 20140812 998175 99999 CAL POLY PIER US CA 35.167 -120.73299999999999 16.0 20080130 20200624 998176 99999 SUPERIOR GRAND TRAVERSE BAY US MI 47.183 -88.23299999999999 191.0 20080115 20200624 998177 99999 LAKE MURRAY US SC 34.1 -81.267 109.0 20080116 20200624 998178 99999 BARTLET COVE US AK 58.45 -135.88299999999998 5.0 20080115 20200624 998179 99999 OLD WOMEN CREEK US OH 41.383 -82.5 182.0 20080115 20200624 998180 99999 PORT SANILAC US MI 43.417 -82.53299999999999 191.0 20080115 20200624 998181 99999 CLEAR LAKE US TX 29.55 -95.06700000000001 10.0 20080115 20080913 998182 99999 ROLLOVER PASS US TX 29.517 -94.5 10.0 20080115 20200624 998183 99999 SOUTH BIRD ISLAND US TX 27.483 -97.31700000000001 10.0 20080115 20200624 998184 99999 PORT ARANSAS US TX 27.833000000000002 -97.06700000000001 10.0 20100101 20200624 998185 99999 SEADRIFT US TX 28.4 -96.71700000000001 10.0 20080115 20200624 998186 99999 SPRINGMAID PIER US SC 33.65 -78.917 3.0 20100101 20101129 998187 99999 LAKE MARION US SC 33.55 -80.5 25.0 20080529 20140303 998189 99999 USGC FREEPORT US TX 28.933000000000003 -95.3 4.0 20080721 20200521 998191 99999 HILO US HI 19.717 -155.05 0.0 20080721 20200624 998192 99999 COAST GUARD SECTOR US AL 30.65 -88.05 10.0 20080721 20200624 998193 99999 MOKUOLOE US HI 21.433000000000003 -157.783 3.0 20080721 20200624 998194 99999 NEW CANAL US LA 30.017 -90.117 4.0 20080721 20200624 998195 99999 NAWILIWILI US HI 21.95 -159.35 0.0 20080721 20200624 998196 99999 MOBILE STATE DOCKS US AL 30.7 -88.03299999999999 0.0 20080721 20200624 998197 99999 OAKLAND MIDDLE HARBOR MET US CA 37.8 -122.31700000000001 7.0 20080721 20200624 998198 99999 SELDOVIA US AK 59.433 -151.717 0.0 20080721 20200624 998199 99999 PANAMA CITY US FL 30.15 -85.667 5.0 20080721 20200624 998201 99999 PASCAGOULA NOAA LAB US MS 30.35 -88.56700000000001 0.0 20080721 20200624 998202 99999 DOCK E PORT OF PASCAGOULA US MS 30.35 -88.5 0.0 20080721 20180209 998203 99999 WEST NEEBISH US MI 46.283 -84.2 177.0 20080721 20200624 998204 99999 WESTPORT US WA 46.917 -124.117 8.0 20080721 20200624 998205 99999 STROM THURMOND DAM US 33.667 -82.2 89.0 20080811 20200624 998206 99999 ELFIN COVE US AK 58.183 -136.333 0.0 20080811 20200624 998207 99999 SHELL WEST DELTA 143 OIL PLATFORM US 28.65 -89.55 41.0 20081218 20180319 998208 99999 LAKE WATEREE US SC 34.333 -80.7 87.0 20080811 20200624 998209 99999 DUCK PIER US NC 36.183 -75.75 7.0 20100101 20200624 998211 99999 OCEAN CITY INLET US MD 38.317 -75.083 0.0 20080915 20200624 998212 99999 CAMPBELL PARK US FL 27.767 -82.65 15.0 20080915 20141229 998213 99999 MIDDLE TAMPA BAY US FL 27.65 -82.583 10.0 20131207 20200624 998214 99999 MEDIA LUNA / LA PARGUERA RQ 17.933 -67.05 7.0 20080915 20130317 998215 99999 SALT RIVER BAY / ST CROIX VQ 17.783 -64.767 7.0 20080915 20131201 998216 99999 CHAMBERS ISLAND US WI 45.2 -87.35 181.0 20080917 20200122 998217 99999 AMERADA PASS US LA 29.45 -91.333 5.0 20081022 20200624 998218 99999 SHELL BEACH US LA 29.866999999999997 -89.667 5.0 20081022 20200624 998219 99999 BAY WAVELAND YACHT CLUB US MS 30.316999999999997 -89.31700000000001 5.0 20081022 20200624 998221 99999 ALITAK US AK 56.9 -154.25 0.0 20081022 20200624 998222 99999 KILO NALU OBS (WAVE SENSOR) US HI 21.283 157.86700000000002 -11.0 20081022 20101231 998223 99999 ALEXANDRIA BAY US NY 44.333 -75.933 0.0 20130101 20200624 998224 99999 ATKA US AK 52.233000000000004 -174.167 0.0 20081022 20200624 998225 99999 PORT ARTHUR US TX 29.866999999999997 -93.93299999999999 11.0 20081022 20200624 998226 99999 ROCKPORT US TX 28.017 -97.05 4.0 20081022 20200624 998227 99999 APRA HARBOR GUAM GQ 13.444 144.657 3.3 20100101 20200624 998228 99999 C-CUT ST PETERSBURG US FL 27.666999999999998 -82.617 3.0 20081114 20101231 998229 99999 CHRISTIANSTED HARBOR VQ 17.75 -64.7 3.0 20081114 20200624 998231 99999 DOCK C PASCAGOULA US MS 30.35 -88.56700000000001 3.0 20081114 20180209 998233 99999 GULFPORT OUTER RANGE US MS 30.233 -88.98299999999999 13.0 20081114 20130120 998234 99999 WEST PIER GULFPORT US MS 30.35 -89.083 7.0 20081114 20101231 998235 99999 NIAGRA INTAKE US NY 43.067 -79.017 179.0 20081114 20200624 998236 99999 PACKERY CHANNEL US TX 27.633000000000003 -97.23299999999999 11.0 20081114 20200624 998237 99999 PAGO BAY GQ 13.417 144.8 7.0 20081114 20200624 998238 99999 PETITS BOIS ISLAND US 30.217 -88.5 6.0 20081114 20200624 998239 99999 RANGE A REAR PASCAGOULA US MS 30.333000000000002 -88.51700000000001 5.0 20081114 20180209 998241 99999 SEABULK TAMPA US FL 27.916999999999998 -82.45 0.0 20081114 20141229 998242 99999 SAGINAW BAY LIGHT 1 US MI 43.8 -83.71700000000001 188.0 20081114 20200624 998243 99999 SAND POINT US AK 55.333 -160.5 10.0 20100101 20200624 998244 99999 TPA CRUISE TERMINAL 2 TAMPA US FL 27.933000000000003 -82.43299999999999 15.0 20081114 20200624 998245 99999 WILLOUGHBY DEGUASSING STATION US VA 36.983000000000004 -76.317 3.0 20081114 20200624 998246 99999 ARECIBO RQ 18.483 -66.7 3.0 20100101 20200529 998247 99999 FAJARDO RQ 18.333 -65.633 3.0 20100101 20141231 998248 99999 MAYAGUEZ RQ 18.217 -67.15 3.0 20100101 20200624 998249 99999 PENUELAS RQ 17.967 -66.767 3.0 20100101 20130318 998251 99999 YABUCOA HARBOR RQ 18.05 -65.833 3.0 20100101 20200304 998252 99999 BAR HARBOR US ME 44.4 -68.2 3.4 20100101 20200624 998253 99999 CUTLER US ME 44.65 -67.3 4.9 20100101 20101111 998254 99999 KING COVE US AK 55.067 -162.333 5.0 20100101 20200624 998255 99999 MACKINAW CITY US MI 45.783 -84.71700000000001 178.5 20100101 20200624 998256 99999 TACOMA MET US WA 47.276 -122.41799999999999 11.0 20100101 20200624 998257 99999 ISABEL SEGUNDA / VIEQUES RQ 18.15 -65.433 6.0 20100101 20141231 998258 99999 KETCHIKAN US AK 55.333 -131.625 3.0 20100101 20200624 998259 99999 SKAGWAY US AK 59.45 -135.31799999999998 3.0 20100101 20200624 998261 99999 JUNEAU US AK 58.298 -134.412 3.0 20100101 20200624 998262 99999 AQUADILLA RQ 18.45 -67.167 3.4 20100101 20101231 998263 99999 CULEBRA RQ 18.3 -65.3 3.1 20100101 20200624 998264 99999 LAKE CHARLES US LA 30.217 -93.21700000000001 8.1 20100101 20200624 998265 99999 MARCUS HOOK US PA 39.817 -75.417 3.0 20100101 20200624 998266 99999 STURGEON POINT US NY 42.683 -79.05 4.2 20100101 20200624 998267 99999 ROCHESTER US NY 43.266999999999996 -77.617 3.0 20100101 20200624 998268 99999 TENAKEE SPRINGS US AK 57.783 -135.217 5.0 20100315 20200624 998269 99999 EAST BAY CAUSEWAY US FL 27.933000000000003 -82.43299999999999 5.0 20100101 20200624 998271 99999 VALDEZ US AK 61.133 -146.36700000000002 3.0 20100101 20200624 998274 99999 BROAD RIVER US FL 25.483 -80.983 3.0 20100101 20200624 998275 99999 BOB ALLEN US FL 28.017 -80.683 3.0 20100101 20200624 998276 99999 BLACKWATER SOUND US FL 25.183000000000003 -80.433 3.0 20100101 20200624 998277 99999 CANE PATCH US FL 25.416999999999998 -80.95 3.0 20100101 20200624 998278 99999 CANNON BAY US FL 25.7 -81.183 3.0 20100101 20200624 998279 99999 DUCK KEY US FL 25.183000000000003 -80.483 3.0 20100101 20200624 998281 99999 FAIRPORT US OH 41.766999999999996 -81.283 176.0 20100101 20200624 998282 99999 FRESH WATER CANAL LOCKS US LA 29.55 -92.3 10.0 20100101 20200624 998283 99999 GARFIELD BRIGHT US FL 25.166999999999998 -80.8 3.0 20100101 20200624 998284 99999 HIGHWAY CREEK US FL 25.25 -80.45 3.0 20100101 20200624 998285 99999 JOHNSON KEY US FL 25.05 -80.9 3.0 20100101 20200624 998286 99999 BROAD RIVER LOWER US FL 25.483 -81.117 3.0 20100101 20141231 998287 99999 LITTLE BLACKWATER US FL 25.217 -80.433 3.0 20100101 20200624 998288 99999 LITTLE MADEIRA US FL 25.166999999999998 -80.633 3.0 20100101 20200624 998289 99999 LOSTMANS RIVER US FL 25.55 -81.183 3.0 20100101 20200624 998291 99999 LITTLE RABBIT KEY US FL 24.983 -80.833 3.0 20100101 20200624 998292 99999 LONG SOUND US FL 25.233 -80.45 3.0 20100101 20200624 998293 99999 MURRAY KEY US FL 25.1 -80.95 3.0 20100101 20200624 998294 99999 PETERSON KEY US FL 24.916999999999998 -80.75 3.0 20100101 20200624 998295 99999 TROUT COVE US FL 25.217 -80.533 3.0 20100101 20200624 998296 99999 TARPON BAY EAST US FL 25.416999999999998 -80.967 3.0 20100101 20200624 998297 99999 TAYLOR RIVER US FL 25.217 -80.65 3.0 20100101 20200624 998299 99999 WHIPRAY BASIN US FL 25.083000000000002 -80.733 3.0 20100101 20200624 998300 99999 BUTTERNUT KEY US FL 25.087 -80.51899999999999 3.0 20100101 20200624 998301 99999 ESPERANZA RQ 18.094 -65.471 3.4 20100101 20200624 998302 99999 GUNBOAT ISLAND US FL 25.375999999999998 -81.029 3.0 20100101 20200624 998303 99999 LITTLE CAYMAN CJ 19.699 -80.061 5.9 20100101 20101231 998304 99999 MONA ISLAND RQ 18.09 -67.939 3.0 20100101 20200624 998305 99999 PORT EVERGLADES CHANNEL US FL 26.092 -80.109 3.5 20100101 20191001 998306 99999 WILLY WILLY US FL 25.619 -81.044 3.0 20100101 20200624 998307 99999 WATSON PLACE US FL 25.708000000000002 -81.248 3.0 20100101 20200624 998308 99999 DATA BUOY 42012 US 30.065 -87.555 3.0 20180316 20180425 998310 99999 BUOY 32012 / WOODS HOLE STRATUS WAVE STATION CI -19.613 -85.585 3.0 20180101 20180409 998312 99999 BUOY 41044 / S. ATLANTIC 21.651999999999997 -58.695 3.0 20180101 20180425 998313 99999 BUOY 41046 / E BAHAMAS US 23.866999999999997 -70.87 3.0 20180101 20180425 998314 99999 BUOY 41047 / NE BAHAMAS US 27.469 -71.491 3.0 20180101 20180425 998315 99999 BUOY 41048 / W. BERMUDA US 31.978 -69.649 3.0 20180101 20180425 998316 99999 BUOY 41049 / ATLANTIC SOUTH US 27.5 -63.0 3.0 20180101 20180425 998317 99999 BUOY 41110 / MASONBORO INLET US NC 34.141 -77.709 3.0 20180101 20180425 998319 99999 42364 / RAM POWELL / VIOSCA KNOLL 936 / DRILLING PLATFORM US 29.06 -88.09 122.0 20180101 20180425 998321 99999 BUOY 44020 / NANTUCKET SOUND US MA 41.443000000000005 -70.186 3.0 20180101 20180425 998322 99999 BUOY 44056 / DUCK FRF US NC 36.2 -75.714 3.0 20180101 20180425 998324 99999 BUOY 44058 / STRINGRAY POINT US VA 37.552 -76.251 3.0 20180101 20180424 998327 99999 BUOY 44098 / JEFFREYS LEDGE US NH 42.801 -70.169 3.0 20180101 20180425 998328 99999 BUOY 44099 / CAPE HENRY US VA 36.908 -75.775 3.0 20180101 20180425 998329 99999 BUOY 44100 / DUCK FRF 26M US NC 36.258 -75.59100000000001 3.0 20180101 20180425 998333 99999 BUOY 46239 / POINT SUR US CA 36.338 -122.101 3.0 20180101 20180425 998334 99999 BUOY 46240 / CABRILLO POINT MONTEREY BAY US CA 36.626 -121.90700000000001 3.0 20180101 20180425 998335 99999 BUOY 46242 / CAMP PENDLETON NEARSHORE US CA 33.22 -117.44 3.0 20180101 20180425 998337 99999 BUOY 51101 / NW HAWAII US HI 24.320999999999998 -162.058 3.0 20180101 20180425 998338 99999 BUOY 45159 / NW LAKE ONTARIO AJAX CA 43.77 -79.98 180.0 20180425 20180425 998339 99999 MOUTH OF BLACK RIVER US MI 42.975 -82.419 180.0 20100713 20200624 998340 99999 SANTA BARBARA US CA 34.408 -119.65799999999999 6.0 20100101 20200624 998341 99999 PORT ALEXANDER US AK 56.247 -134.64700000000002 7.0 20100101 20200624 998342 99999 TACONY/PALMYRA BRIDGE US NJ 40.012 -75.042 20.0 20100101 20141231 998345 99999 BUOY 42060 / E CARIBBEAN US 16.5 -63.5 3.0 20180328 20180425 998346 99999 BUOY 42085 / SE OF PONCE RQ 17.86 -66.524 3.0 20180101 20180418 998348 99999 BUOY 44041 / JAMESTOWN US VA 37.204 -76.777 3.0 20180101 20180103 998349 99999 BUOY 44042 / POTOMAC US MD 38.033 -76.336 3.0 20180101 20180425 998351 99999 BUOY 44066 / TX TOWER 4 US TX 39.583 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99999 NOKOLSKI US AK 52.941 -168.87099999999998 5.0 20100821 20200624 998430 99999 SEWARD US AK 60.12 -149.42700000000002 4.7 20100729 20200624 998431 99999 UNALASKA US AK 53.879 -166.54 5.7 20100729 20200624 998432 99999 YAKUTAT US AK 59.548 -139.733 13.6 20100729 20200624 998433 99999 SACRIFICE ISLAND MX 19.174 -96.09299999999999 0.0 20100916 20141231 998434 99999 VERACURZ HARBOR MX 19.202 -96.113 0.0 20100916 20141231 998435 99999 OGDENSBURG US NY 44.703 -75.495 10.0 20101031 20200624 998436 99999 BARCELONA HARBOR US NY 42.346000000000004 -79.596 174.0 20130101 20141230 998437 99999 LA MANCHA BEACH MX 19.6 -96.383 9.1 20130101 20180425 998438 99999 TESORO MARINE TERMINAL US LA 29.666999999999998 -91.23299999999999 3.0 20130101 20200624 998439 99999 CEDAR POINT US AL 30.308000000000003 -88.14 4.0 20130101 20200624 998440 99999 KATRINA CUT US AL 30.258000000000003 -88.213 3.5 20130101 20200613 998441 99999 BARBUDA AC 17.590999999999998 -61.821000000000005 5.0 20130101 20200624 998442 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999999 03097 MOUNTAINAIR 2 WSW US NM 34.516999999999996 -106.27 1977.9 20100627 20140601 999999 03098 EAGLE 13 SSE US CO 39.483000000000004 -106.734 2622.8 20100718 20140601 999999 03099 CRAIG 30 N US CO 40.948 -107.60799999999999 1986.7 20100721 20140601 999999 03102 ONTARIO INTERNATIONAL ARPT US CA KONT 34.056 -117.6 275.8 19680101 20041231 999999 03103 FLAGSTAFF PULLIAM ARPT US AZ KFLG 35.144 -111.666 2139.1 19510101 19761231 999999 03104 PALM SPRINGS THERMAL AP US CA KTRM 33.626999999999995 -116.15899999999999 -36.0 19500509 19540130 999999 03109 CAMP MERCURY US NV 36.95 -116.083 1196.0 19510214 19540501 999999 03122 TORRANCE AIRPORT US CA 33.802 -118.34200000000001 27.4 19530525 19540326 999999 03124 FORT HUACHUCA US AZ KFHU 31.588 -110.344 1432.0 19710101 19710801 999999 03125 YUMA PROVING GROUND US AZ 32.833 -114.4 98.8 19550101 19630101 999999 03129 MOJAVE MCAS US CA 35.05 -118.167 842.5 19551003 19581001 999999 03133 YUCCA FLATS TEST S T US NV UCC 36.95 -116.05 1196.9 19611217 19721231 999999 03143 JACKASS FLATS US NV 36.8 -116.26700000000001 1100.9 19610425 19611217 999999 03147 CUDDEBACK GUNNERY RANGE US CA 4CB 35.266999999999996 -117.43299999999999 864.1 19630701 19701231 999999 03148 GILA BEND AF AUX AIRPORT US AZ KGBN 32.883 -112.71700000000001 261.5 19680903 20041231 999999 03154 CAMP PENDLETON MCAS US CA KNFG 33.3 -117.35 23.8 19660701 19721228 999999 03157 LONG BEACH NS US CA NWF 33.75 -118.23299999999999 4.3 19720601 19721229 999999 03163 CALIENTE AIRPORT US NV KP38 37.611999999999995 -114.52600000000001 1333.2 19970902 20041231 999999 03174 ZAMPERINE FIELD AIRPORT US CA 33.8 -118.333 29.6 20040702 20051231 999999 03724 CARROLL CO RGNL/JJACK B POAGE FIELD AIRPORT US MI KDMW 39.608000000000004 -77.008 240.5 20040102 20070713 999999 03728 MCCLELLANVILLE 7 NE US SC 33.153 -79.36399999999999 2.7 20020815 20200625 999999 03733 ELKINS 21 ENE US WV 39.013000000000005 -79.47399999999999 1033.3 20031117 20200625 999999 03739 CAPE CHARLES 5 ENE US VA 37.291 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KNRB 30.4 -81.417 4.3 19550705 19721231 999999 03855 PENSACOLA FOREST SHERMAN NAS US FL KNPA 30.35 -87.31700000000001 9.1 19590101 19721231 999999 03856 HUNTSVILLE MADISON COUNTY ARP US AL KHSV 34.644 -86.786 196.3 19580901 19721231 999999 03858 MCENTIRE ANG US SC KMMT 33.967 -80.8 76.8 19590206 20041231 999999 03860 HUNTINGTON TRI-STATE ARPT US WV KHTS 38.365 -82.555 255.4 19611201 19721231 999999 03866 MERIDIAN NAAS US MS KNMM 32.55 -88.56700000000001 96.6 19610801 19721231 999999 03867 SPRINGFIELD AF US OH SGH 39.85 -83.833 323.1 19611006 19701231 999999 03868 TERRE HAUTE HULMAN FIELD ANG US IN KHUF 39.452 -87.309 180.7 19611003 20041231 999999 03870 GREENVILLE-SPARTANBURG INTL AIRPORT US SC KGSP 34.884 -82.221 296.0 19621015 19721231 999999 03872 BECKLEY RALEIGH CO MEM AP US WV KBKW 37.784 -81.123 766.3 19630515 19851231 999999 03874 FORT BENNING MCKENNA US GA MKF 32.367 -84.8 134.1 19640302 19650722 999999 03876 VALPARAISO US FL 30.433000000000003 -86.93299999999999 11.9 19670213 19701222 999999 03877 SMOKY HILL AF US KS 38.65 -97.8 422.1 19681101 19701230 999999 03878 TROY AF US AL KTOI 31.861 -86.012 121.0 19690409 19701219 999999 03881 CENTREVILLE WSMO US AL KCKL 32.9 -87.25 138.1 19831101 19831231 999999 03883 11 WEST OXMOOR RD US AL 33.467 -86.833 226.8 20020902 20031231 999999 03901 LONGVIEW GREGG COUNTY AP US TX KGGG 32.385 -94.712 113.7 19500901 19550101 999999 03904 COLLEGE STATION EASTERWOOD FL US TX KCLL 30.589000000000002 -96.365 100.0 19510801 19550101 999999 03918 FLIPPIN US AR KFLP 36.291 -92.59 219.2 19510701 20041231 999999 03919 SALINA (OLD) MUNI AP US KS KSLN 38.8 -97.65 390.8 19520101 19550101 999999 03923 MCCONNELL AFB US KS KIAB 37.617 -97.26700000000001 417.9 19710101 19710101 999999 03927 DALLAS-FORT WORTH INTL AP US TX KDFW 32.898 -97.01899999999999 181.7 19530501 19721231 999999 03928 WICHITA MUNICIPAL ARPT US KS KICT 37.648 -97.43 408.4 19540101 19721231 999999 03929 RICHARDS GEBAUR AFB US MO KGVW 38.844 -94.56 332.2 19710101 19710101 999999 03931 FORT POLK AAF US LA KPOE 31.05 -93.18299999999999 100.6 19571101 19590504 999999 03934 NEW IBERIA NAAS US LA KARA 30.033 -91.883 7.9 19610101 19641016 999999 03937 LAKE CHARLES REGIONAL ARPT US LA KLCH 30.125 -93.228 2.7 19640101 19721231 999999 03938 FT LNRD WD AAF US MO KTBN 37.75 -92.15 353.3 19710101 19710101 999999 03939 CLAIBORNE RANGE AF US LA 31.066999999999997 -92.5 57.9 19630701 19640626 999999 03940 JACKSON INTERNATIONAL AP US MS KJAN 32.321 -90.07799999999999 100.9 19640101 19721231 999999 03943 MINERAL WELLS FT WOLTERS AF US TX 32.85 -98.05 253.9 19661003 19701218 999999 03944 PALO PINTO DEMPSEY AF US TX 32.783 -98.26700000000001 359.1 19680103 19701218 999999 03945 COLUMBIA REGIONAL AIRPORT US MO KCOU 38.817 -92.21799999999999 273.7 19691101 19721231 999999 03947 KANSAS CITY INTERNATIONAL AIRPORT US MO KMCI 39.297 -94.73100000000001 312.4 19721001 19721231 999999 03948 UNIVERSITY OF OKLAHOMA WESTHEIMER AIRPORT US OK 35.25 -97.46700000000001 360.3 20020902 20051231 999999 03969 STEPHENVILLE CLARK FIELD US TX KSEP 32.215 -98.178 402.6 19831101 19831231 999999 04125 JOHN DAY 35 WNW US OR 44.556000000000004 -119.646 684.3 20030330 20200625 999999 04126 ARCO 17 SW US ID 43.461999999999996 -113.556 1804.4 20030710 20200625 999999 04127 MURPHY 10 W US ID 43.20399999999999 -116.751 1204.0 20030629 20200625 999999 04128 RILEY 10 WSW US OR 43.471000000000004 -119.69200000000001 1396.9 20030703 20200625 999999 04130 ST. MARY 1 SSW US MT 48.74100000000001 -113.43299999999999 1388.4 20030925 20200625 999999 04131 MOOSE 1 NNE US WY 43.662 -110.712 1970.8 20040630 20200625 999999 04133 HEBER CITY MUNI ARPT-RUSS MCDONALD FIELD US UT 40.482 -111.429 1718.2 20040702 20171012 999999 04134 GRANITE PEAK DUGWAY PROVING GROUND US UT KQCA 40.161 -113.351 1310.6 20060802 20200624 999999 04136 SPOKANE 17 SSW US WA 47.417 -117.52600000000001 691.0 20070801 20200625 999999 04137 DILLON 18 WSW US MT 45.158 -113.006 1820.0 20070728 20200625 999999 04138 BRIGHAM CITY 28 WNW US UT 41.61600000000001 -112.544 1509.1 20070819 20200625 999999 04139 DENIO 52 WSW US NV 41.848 -119.63600000000001 1981.2 20080616 20200625 999999 04140 LEWISTOWN 42 WSW US MT 46.885 -110.29 1545.3 20080727 20200625 999999 04141 COOS BAY 8 SW US OR 43.272 -124.319 3.7 20080819 20200625 999999 04143 PROVO 22 E US UT 40.282 -111.24 2379.9 20100731 20140601 999999 04221 ROCHE HARBOR SEAPLANE BASE US WA KW39 48.608000000000004 -123.15899999999999 0.0 20040102 20041231 999999 04222 REDDING 12 WNW US CA 40.650999999999996 -122.60700000000001 432.2 20030326 20200625 999999 04223 DARRINGTON 21 NNE US WA 48.541000000000004 -121.446 124.1 20030403 20200625 999999 04236 CORVALLIS 10 SSW US OR 44.419 -123.32600000000001 95.1 20060914 20200625 999999 04237 QUINAULT 4 NE US WA 47.513999999999996 -123.81200000000001 87.2 20060909 20200625 999999 04725 BINGHAMTON BROOME COUNTY ARPT US NY KBGM 42.207 -75.98 499.3 19480101 19721231 999999 04726 JOHNSTOWN CAMBRIA COUNTY AP US PA KJST 40.316 -78.834 696.2 19480926 19510701 999999 04727 GENEVA SAMPSON AFB US NY 42.75 -76.9 187.1 19520102 19560624 999999 04728 NIAGARA FALLS US NY E4C8 37.864000000000004 -103.823 1336.9 19520301 19540121 999999 04739 BELMAR ASC US NJ KBLM 40.183 -74.067 25.9 19550101 19710801 999999 04741 SCHENECTADY US NY KSCH 42.85 -73.95 115.2 19500101 19771201 999999 04751 BRADFORD REGIONAL AP US PA KBFD 41.8 -78.633 655.3 19570701 19721231 999999 04769 MAYNARD US MA 42.417 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10.617 -61.217 41.1 19490101 19491220 999999 11618 SAN JUAN NS RQ 18.467 -66.117 13.1 19450301 19620501 999999 11621 TRINIDAD BWI TD MCGU 10.683 -61.617 13.1 19450301 19550831 999999 11624 CHRISTIANSTED HAMILTON FIELD VQ VI TISX 17.7 -64.813 16.8 19510301 19610701 999999 11630 ROOSEVELT ROADS RQ PR TJNR 18.255 -65.641 11.6 19470701 19721201 999999 11631 SAN JUAN CITY RQ 18.467 -66.1 14.9 19500301 19550524 999999 11637 PONCE SANTA ISABEL RQ 17.967 -66.4 9.1 19510301 19540401 999999 11639 VIEQUES ISLAND NS RQ 18.117 -65.383 2.1 19531001 19531120 999999 11640 CHARLOTTE AMALIE HARRY S TRUM VQ VI TIST 18.336 -64.98 3.4 19530101 19610701 999999 11641 SAN JUAN L M MARIN INTL AP RQ PR TJSJ 18.433 -66.01100000000001 2.4 19550524 19951231 999999 11644 ST LUCIA ISLAND ST 13.75 -60.983000000000004 99.1 19560801 19571003 999999 11647 ST JOHNS AC MKPA 17.133 -61.783 18.9 19580101 19700213 999999 11650 SAN ISIDRO DR MSSO 18.5 -69.75 35.1 19650514 19660918 999999 11704 KINGSTON JM MKJP 17.9 -77.283 4.9 19490101 19490930 999999 11801 MERCEDES MNMG 12.133 -86.2 63.1 19421001 19460529 999999 11803 CORINTO MNCT 12.482999999999999 -87.18299999999999 4.0 19450401 19451201 999999 11806 PUERTO CASTILLA HO MHCT 16.017 -85.95 2.1 19450501 19451201 999999 11807 SWAN ISLAND HO MHIC 17.4 -83.93299999999999 11.0 19480701 19490101 999999 11813 ROBERTS CJ WI MWCR 19.3 -81.367 1.8 19660201 19721231 999999 12706 GREAT EXUMA ISLAND BF MGTE 23.517 -75.783 18.9 19450401 19450623 999999 12712 GOLD ROCK CREEK BF MYGM 26.616999999999997 -78.367 6.1 19510122 19701231 999999 12713 ELEUTHERA ISLAND BF MYEM 25.267 -76.3 10.1 19520201 19701231 999999 12714 GRAND TURK ISLAND TK MBJT 21.433000000000003 -71.133 3.0 19541115 19701231 999999 12715 MAYAGUAN BF 22.366999999999997 -73.033 21.0 19550115 19571002 999999 12716 SAN SALVADOR BF MYSM 24.066999999999997 -74.517 9.1 19550201 19641216 999999 12810 MACDILL AAF US FL KMCF 27.85 -82.51700000000001 4.3 19710101 19710101 999999 12815 PINECASTLE AAF US FL KMCO 28.434 -81.325 32.3 19710101 19710101 999999 12826 HOMESTEAD AAF US FL KHST 25.483 -80.383 2.1 19710101 19710101 999999 12832 APALACHICOLA US FL KAAF 29.733 -85.03299999999999 5.8 19480101 19490101 999999 12833 CROSS CITY AIRPORT US FL KCTY 29.633000000000003 -83.105 12.8 19490101 19550101 999999 12834 DAYTONA BEACH REGIONAL ARPT US FL KDAB 29.183000000000003 -81.048 12.5 19480101 19721231 999999 12835 FORT MYERS PAGE FIELD US FL KFMY 26.585 -81.861 5.5 19480101 19751231 999999 12836 KEY WEST INTL ARPT US FL KEYW 24.555 -81.752 6.4 19480101 19721231 999999 12838 MELBOURNE REGIONAL AP US FL KMLB 28.101 -80.64399999999999 8.2 19480101 19550101 999999 12839 MIAMI INTL AP US FL KMIA 25.791 -80.316 9.1 19480101 19721231 999999 12841 ORLANDO MUNICIPAL ARPT US FL KORL 28.545 -81.333 34.1 19500101 19721231 999999 12842 TAMPA INTL ARPT US FL KTPA 27.962 -82.54 3.4 19480101 19721231 999999 12843 VERO BEACH MUNICIPAL ARPT US FL KVRB 27.653000000000002 -80.243 8.5 19490114 19550101 999999 12844 WEST PALM BEACH INTL ARPT US FL KPBI 26.685 -80.09899999999999 6.4 19480101 19751231 999999 12846 DAYTONA BEACH NAS US FL 29.183000000000003 -81.067 18.9 19450201 19460201 999999 12847 DELAND NAS US FL 29.083000000000002 -81.417 32.0 19450301 19460101 999999 12848 DINNER KEY NAF US FL 25.733 -80.233 4.0 19450309 19450501 999999 12849 FORT LAUDERDALE HOLLYWOOD INT US FL KFLL 26.072 -80.154 3.4 19460101 19461011 999999 12850 KEY WEST NAS US FL KNQX 24.583000000000002 -81.683 7.3 19450301 19721231 999999 12851 MELBOURNE NAS US FL 28.1 -80.633 17.1 19450401 19460101 999999 12852 MIAMI MCAS US FL 25.916999999999998 -80.283 7.9 19460101 19580801 999999 12853 RICHMOND NAS US FL 25.616999999999997 -80.417 9.1 19450301 19451117 999999 12854 SANFORD AIRPORT US FL KSFB 28.78 -81.244 16.8 19450401 19680517 999999 12855 VERO BEACH NAS US FL 27.65 -80.417 15.8 19450201 19460401 999999 12857 SAN JULIAN CU MUSJ 22.066999999999997 -84.15 17.1 19450301 19451201 999999 12858 KEY WEST WB CITY US FL 24.566999999999997 -81.8 7.9 19530701 19570701 999999 12863 BURRWOOD WB US LA 28.967 -89.383 4.0 19560801 19650201 999999 12881 VALKARIA US FL 27.95 -80.567 9.1 19620315 19670712 999999 12884 BOOTHVILLE US LA 29.333000000000002 -89.40799999999999 0.9 19650201 20200618 999999 12889 BOMBING RANGE DETACHMENT ASTOR US FL 29.143 -81.633 28.0 19960702 20031231 999999 12907 LAREDO AFB US TX KLRD 27.533 -99.46700000000001 154.8 20040702 20081123 999999 12910 SAN MARCOS GARY AFB US TX KRJO 29.883000000000003 -97.867 178.0 19510501 19560816 999999 12911 RANDOLPH AFB US TX KRND 29.533 -98.262 232.3 19710101 19710101 999999 12917 PORT ARTHUR JEFFERSON COUNTY US TX KBPT 29.951 -94.021 4.9 19480701 19721231 999999 12918 HOUSTON WILLIAM P HOBBY AP US TX KHOU 29.638 -95.28200000000001 14.3 19480701 19690601 999999 12922 VICTORIA US TX 28.783 -97.083 35.1 19480701 19610701 999999 12925 BEEVILLE CHASE NAAS US TX KNIR 28.366999999999997 -97.667 57.9 19450301 20041231 999999 12926 CORPUS CHRISTI NAS US TX KNGP 27.683000000000003 -97.28299999999999 5.8 19450301 19721231 999999 12927 HOUMA NAS US LA KHUM 29.566 -90.66 3.0 19450301 20041231 999999 12928 KINGSVILLE US TX KNQI 27.5 -97.81700000000001 17.7 19450301 19721231 999999 12930 NEW ORLEANS AUDUBON GOLF SITE (AUDUBON PARK) US LA 29.916999999999998 -90.13 6.1 19480701 20031231 999999 12931 SAN ANTONIO BROOKS AFB US TX BRX 29.35 -98.45 182.0 19490101 19600622 999999 12935 PALACIOS MUNICIPAL AP US TX KPSX 28.725 -96.25399999999999 4.6 19560101 19590101 999999 12945 DOWNTOWN US TX 29.767 -95.367 15.9 20020902 20031231 999999 12946 CORPUS CHRISTI CABANISS NAAS US TX KNGW 27.7 -97.43299999999999 9.1 19490201 20200624 999999 12947 COTULLA FAA AP US TX KCOT 28.456999999999997 -99.21799999999999 146.0 19491001 19550101 999999 12956 MATAGORDA ISLAND AF US TX 28.333000000000002 -96.45 2.1 19550808 19591224 999999 12957 PORT ISABEL CAMERON COUNTY AP US TX KPIL 26.166 -97.346 5.8 19571101 20041231 999999 12958 NEW ORLEANS ALVIN CALLENDER F US LA KNBG 29.816999999999997 -90.01700000000001 0.3 19580101 19721231 999999 12960 HOUSTON INTERCONTINENTAL AP US TX KIAH 29.98 -95.36 32.0 19690601 19721231 999999 12973 OUTLYING LANDING FIELD US TX KNVT 27.633000000000003 -97.31700000000001 7.6 19960702 20041231 999999 12987 EDINBURG 17 NNE US TX 26.526 -98.06299999999999 19.5 20040219 20200625 999999 12988 LAKE PALOURD BASE HELIPORT US LA 29.693 -91.09899999999999 1.5 20140801 20161104 999999 12989 CAMERON HELIPORT US LA 29.783 -93.3 0.9 20050601 20050912 999999 12990 GRAND ISLE (SAWRS) US LA KGNI 29.191999999999997 -90.075 2.1 20050601 20050712 999999 12991 GULF OF MEXICO US LA 28.517 -90.96700000000001 32.3 20050601 20050921 999999 13017 PORT LYAUTEY MO GMMP 34.3 -6.6 11.9 19460101 19740131 999999 13021 EL DJEMA SAHIM MO GDMS 32.35 -8.783 19520210 19530212 999999 13023 BEN GUERIR MO GBGY 32.117 -7.882999999999999 448.1 19511122 19630501 999999 13025 ROTA NAS US LERT 36.65 -6.35 27.1 19581001 19721231 999999 13301 CHILLICOTHE 22 ENE US MO 39.867 -93.147 253.9 20050611 20200625 999999 13601 BERMUDA BD WI TXKF 32.367 -64.667 3.4 19720101 19721231 999999 13602 BERMUDA BD MYUN 32.266999999999996 -64.85 13.1 19490101 19650531 999999 13710 WASHINGTON DC BOLLING FIELD A US MD 38.833 -77.017 18.0 19451101 19680830 999999 13711 LAURINBURG AAB US NC 34.783 -79.383 63.1 19510715 19510902 999999 13713 GOLDSBORO SEYMOUR JOHNSON AFB US NC KGSB 35.344 -77.965 33.5 19710101 19710101 999999 13721 PATUXENT RIVER NAS US MD KNHK 38.3 -76.417 12.2 19710101 19721231 999999 13723 GREENSBORO GREENSBORO-HIGH PO US NC KGSO 36.097 -79.943 270.1 19660101 19721231 999999 13724 ATLANTIC CITY MARINA US NJ 39.378 -74.42399999999999 3.1 19480101 20200624 999999 13725 BALTIMORE US MD 39.25 -76.533 13.1 19450101 19490101 999999 13726 BLACKSTONE US VA 37.067 -77.95 134.1 19490101 19590101 999999 13728 DANVILLE FAA AP US VA KDAN 36.573 -79.336 179.8 19490201 19550101 999999 13729 ELKINS ELKINS-RANDOLPH CO ARP US WV KEKN 38.885 -79.85300000000001 603.2 19480101 19721231 999999 13730 FREDERICK US MD KFDK 39.417 -77.383 92.4 19480101 20041231 999999 13731 FRONT ROYAL US VA 39.0 -78.233 207.9 19490101 19560208 999999 13732 GORDONSVILLE FAA AP US VA 38.067 -78.15 135.0 19490101 19610420 999999 13733 LYNCHBURG MUNICIPAL ARPT US VA KLYH 37.321 -79.207 285.9 19480101 19721231 999999 13734 MARTINSBURG EASTERN WV REG AP US WV KMRB 39.402 -77.984 162.8 19490101 19650101 999999 13735 MILLVILLE MUNICIPAL AP US NJ KMIV 39.367 -75.067 23.2 19490101 19611001 999999 13736 MORGANTOWN MUNICIPAL AP US WV KMGW 39.643 -79.916 381.9 19490201 19550101 999999 13737 NORFOLK REGIONAL ARPT US VA KORF 36.903 -76.192 9.1 19480101 19721231 999999 13738 PETERSBURG US WV 39.0 -79.117 307.8 19480101 19540501 999999 13739 PHILADELPHIA INTERNATIONAL AP US PA KPHL 39.868 -75.23100000000001 8.5 19410101 19721231 999999 13740 RICHMOND INTL AP US VA KRIC 37.505 -77.32 49.7 19480101 19721231 999999 13741 ROANOKE WOODRUM ARPT US VA KROA 37.317 -79.97399999999999 358.4 19480101 19721231 999999 13742 URBANNA US VA 37.633 -76.567 9.1 19480101 19510331 999999 13743 WASHINGTON D C WASHNGTN-HOOVE US VA KDCA 38.848 -77.03399999999999 19.8 19700101 19721231 999999 13744 FLORENCE CITY COUNTY AP US SC KFLO 34.185 -79.72399999999999 46.0 19480101 19650401 999999 13745 HATTERAS US NC 35.217 -75.683 3.0 19480101 19570301 999999 13746 ROCKY MOUNT US NC RMT 35.967 -77.8 25.9 19490101 19550101 999999 13747 WARRENTON WB AP US NC 36.417 -78.15 132.0 19480101 19480910 999999 13748 WILMINGTON US NC KILM 34.268 -77.9 11.6 19480101 19721231 999999 13749 FREDERICK AF US MD 39.433 -77.45 100.0 19490101 19550429 999999 13750 NORFOLK NAS US VA KNGU 36.95 -76.283 4.9 19450201 19721231 999999 13751 ANACOSTIA NAS US MD NDV 38.85 -77.033 15.8 19450301 19611031 999999 13752 U.S. NAVAL ACADEMY US MD 38.991 -76.48899999999999 1.8 19450301 20200625 999999 13753 ATLANTIC CITY NAS US NJ 39.45 -74.583 20.1 19450201 19580616 999999 13754 CHERRY POINT MCAS US NC KNKT 34.9 -76.883 8.8 19450301 19721231 999999 13755 CHINCOTEAGUE NAS US VA K0W8 37.933 -75.433 14.9 19450301 19590316 999999 13756 CAPE MAY NAS US NJ KN91 38.95 -74.883 4.9 19450201 19460501 999999 13758 CHARLESTON NAS US SC KCLX 32.85 -79.933 2.1 19450301 19450807 999999 13759 CREEDS NAAS US VA 36.617 -76.017 11.0 19450301 19451015 999999 13760 DAHLGREN WEAPONS LAB US VA 38.333 -77.033 6.1 19450301 19591115 999999 13762 FENTRESS NAAS US VA KNFE 36.695 -76.13600000000001 4.9 19450301 20041231 999999 13763 FRANKLIN NAAS US VA KFKN 36.698 -76.903 12.5 19450301 19451231 999999 13766 MANTEO NAAS US NC KMQI 35.917 -75.7 4.3 19450301 20041231 999999 13769 OCEANA NAS US VA KNTU 36.817 -76.033 6.7 19450301 19721231 999999 13771 PHILADELPHIA NAAS US PA MUV 39.883 -75.167 6.1 19450201 19610929 999999 13773 QUANTICO MCAS US VA KNYG 38.5 -77.3 3.7 19450201 19721231 999999 13774 WEEKSVILLE NAF US NC 36.25 -76.133 7.0 19520501 19570628 999999 13775 WILDWOOD NAS US NJ 38.983000000000004 -74.917 17.1 19450201 19451208 999999 13776 LUMBERTON MUNICIPAL AP US NC KLBT 34.608000000000004 -79.059 38.4 19490101 19550101 999999 13777 BALTIMORE CUSTOM HOUSE US MD 39.283 -76.617 4.3 19960702 20031231 999999 13781 WILMINGTON DUPONT AP US DE KILG 39.673 -75.601 24.4 19480101 19721231 999999 13782 CUSTOM HOUSE (CITY OFC) US SC 32.775 -79.92399999999999 3.1 20050101 20200624 999999 13786 ELIZABETH CITY MUNICIPAL AP US NC KECG 36.260999999999996 -76.175 4.0 19710101 19981231 999999 13806 FORT CAMPBELL AAF US KY KHOP 36.667 -87.48299999999999 174.7 19710101 19710101 999999 13812 LOCKBOURNE US OH KLCK 39.817 -82.93299999999999 226.8 19710101 20041231 999999 13815 ALBANY NAVAL AIR STN US GA 31.583000000000002 -84.117 66.1 19720101 19721231 999999 13822 GREENVILLE DONALDSON AFB US SC 34.766999999999996 -82.383 298.1 19490101 19630430 999999 13825 COLUMBUS AAF US MS KCBM 33.65 -88.45 66.8 19710101 19710101 999999 13829 FORT BENNING LAWSON US GA KLSF 32.35 -85.0 70.7 19710101 19710101 999999 13839 DOTHAN REGIONAL AP US AL KDHN 31.316999999999997 -85.45 107.6 20010602 20051231 999999 13853 SAVANNAH CHATHAM FIELD AAF US GA 32.133 -81.2 15.8 19490520 19501001 999999 13855 TULLAHOMA AEDC SITE US TN 35.383 -86.23299999999999 328.9 19630101 19690801 999999 13864 MARIETTA DOBBINS AAF US GA KMGE 33.917 -84.51700000000001 325.5 19710101 19710101 999999 13865 MERIDIAN KEY FIELD US MS KMEI 32.335 -88.744 94.5 19480701 19721231 999999 13866 CHARLESTON KANAWHA ARPT US WV KCRW 38.379 -81.59 299.3 19490201 19721231 999999 13867 PARKERSBURG WSO US WV PKB 39.266999999999996 -81.567 187.5 19480101 19550101 999999 13868 PULASKI US VA KPSK 37.133 -80.683 641.6 19490101 19550101 999999 13869 ALBANY MUNICIPAL AP US GA KABY 31.535999999999998 -84.194 58.8 19480101 19550101 999999 13870 ALMA BACON COUNTY AP US GA KAMG 31.535999999999998 -82.507 62.8 19490101 19590101 999999 13871 ANNISTON CALHOUN CO AP US AL KANB 33.586999999999996 -85.85600000000001 182.9 19480101 19550501 999999 13873 ATHENS MUNICIPAL ARPT US GA KAHN 33.948 -83.32799999999999 244.4 19550901 19721231 999999 13874 ATLANTA HARTSFIELD INTL AP US GA KATL 33.63 -84.44200000000001 312.7 19450101 19721231 999999 13876 BIRMINGHAM MUNICIPAL AP US AL KBHM 33.566 -86.745 192.0 19480101 19721231 999999 13877 BRISTOL TRI CITY AIRPORT US TN KTRI 36.473 -82.404 464.8 19480101 19721231 999999 13878 BRUNSWICK MALCOLM MCKINNON AP US GA KSSI 31.151999999999997 -81.391 7.3 19481201 19550101 999999 13880 CHARLESTON US SC KCHS 32.899 -80.04 14.6 19710101 19721231 999999 13881 CHARLOTTE DOUGLAS MUNICIPAL A US NC KCLT 35.224000000000004 -80.955 234.4 19480101 19721231 999999 13882 CHATTANOOGA LOVELL FIELD AP US TN KCHA 35.031 -85.20100000000001 209.7 19480101 19721231 999999 13883 COLUMBIA METRO ARPT US SC KCAE 33.942 -81.118 68.6 19480101 19721231 999999 13884 CRESTVIEW BOB SIKES AP US FL KCEW 30.78 -86.523 56.4 19480101 19550101 999999 13885 EVERGREEN INTERMEDIATE FLD US AL EVR 31.416999999999998 -87.03299999999999 78.0 19491201 19550101 999999 13889 JACKSONVILLE IMESON US FL KJAX 30.495 -81.694 9.8 19660101 19721231 999999 13891 KNOXVILLE MCGHEE TYSON AP US TN KTYS 35.818000000000005 -83.986 298.7 19650101 19721231 999999 13893 MEMPHIS MUNICIPAL ARPT US TN KMEM 35.056 -89.98700000000001 101.2 19480101 19721231 999999 13894 MOBILE REGIONAL AP US AL KMOB 30.688000000000002 -88.24600000000001 67.4 19480101 19721231 999999 13895 MONTGOMERY DANNELLY FIELD US AL KMGM 32.3 -86.40799999999999 61.6 19480101 19721231 999999 13896 MUSCLE SHOALS REGIONAL AP US AL KMSL 34.744 -87.6 171.3 19481201 19550101 999999 13897 NASHVILLE BERRY FIELD US TN KBNA 36.119 -86.689 184.4 19480101 19721231 999999 13899 PENSACOLA REGIONAL AP US FL KPNS 30.478 -87.18700000000001 36.0 19481231 19721231 999999 13902 ALTUS AAF US OK KLTS 34.65 -99.26700000000001 421.2 19710101 19710101 999999 13904 AUSTIN BERGSTROM AFB US TX KAUS 30.183000000000003 -97.68 150.9 19490101 19710101 999999 13905 BRYAN AFB US TX 30.666999999999998 -96.55 84.1 19480701 19580612 999999 13907 DALLAS HENSLEY FIELD AFB US TX 32.75 -96.96700000000001 149.0 19490101 19520421 999999 13910 ABILENE DYESS AAF US TX KDYS 32.433 -99.85 545.3 19710101 19710101 999999 13919 OKLAHOMA CITY TINKER AAF US OK KTIK 35.417 -97.383 393.5 19710101 19710101 999999 13920 FORBES FIELD AAF US KS KFOE 38.95 -95.664 328.9 19710101 19710101 999999 13928 WACO JAMES CONNALLY AFB US TX 31.633000000000003 -97.06700000000001 153.0 19490101 19680831 999999 13930 WHITEMAN AAF US MO KSZL 38.717 -93.55 265.5 19710101 19710101 999999 13935 ESLER FIELD AAF US LA KESF 31.393 -92.296 36.0 19600201 19721231 999999 13941 LAKE CHARLES WB AIRP US LA KCWF 30.21 -93.14299999999999 5.2 19480701 19630401 999999 13942 MONROE SELMAN FIELD US LA KMLU 32.516 -92.041 24.7 19560101 19590101 999999 13944 BARKSDALE AFB US LA KBAD 32.5 -93.667 50.6 19710101 19710101 999999 13945 FORT SILL POST FIELD AF US OK KFSI 34.65 -98.4 362.1 19710101 19710101 999999 13956 JACKSON 4 NW US MS 32.333 -90.23299999999999 98.1 19480701 19630708 999999 13957 SHREVEPORT REGIONAL ARPT US LA KSHV 32.446999999999996 -93.824 78.9 19480701 19721231 999999 13958 AUSTIN MUELLER MUNICIPAL AP US TX KATT 30.320999999999998 -97.76 200.6 19480701 19721231 999999 13959 WACO RICH FIELD US TX KACT 31.619 -97.228 154.8 19690101 19721231 999999 13963 LITTLE ROCK ADAMS FIELD US AR KLIT 34.727 -92.23899999999999 78.3 19480701 19741231 999999 13965 ARDMORE INTERMEDIATE FLD US OK 34.3 -97.15 264.0 19480701 19550101 999999 13966 WICHITA FALLS MUNICIPAL ARPT US TX KSPS 33.979 -98.493 313.9 19650101 19721231 999999 13967 OKLAHOMA CITY WILL ROGERS FIE US OK KOKC 35.389 -97.601 397.5 19650101 19721231 999999 13970 BATON ROUGE RYAN ARPT US LA KBTR 30.537 -91.147 23.2 19480701 19721231 999999 13971 HARRISON FAA AP US AR KHRO 36.266999999999996 -93.15700000000001 422.1 19670101 19690101 999999 13972 TYLER POUNDS FIELD US TX KTYR 32.354 -95.40299999999999 167.9 19480701 19991231 999999 13973 JUNCTION US TX KJCT 30.511 -99.766 533.1 19480701 19690131 999999 13976 LAFAYETTE REGIONAL AP US LA KLFT 30.205 -91.988 12.8 19560101 19590101 999999 13978 GREENWOOD MUNICIPAL AP US MS KGWO 33.496 -90.087 40.5 19490101 19550101 999999 13979 VICKSBURG OLD US MS 32.4 -90.78299999999999 36.9 19490101 19500601 999999 13980 ANTHONY US KS 37.167 -98.083 402.6 19480101 19510101 999999 13981 CHANUTE MARTIN JOHNSON AP US KS KCNU 37.67 -95.484 308.2 19480101 19650101 999999 13982 CHILLICOTHE US MO 39.783 -93.5 232.9 19480101 19510101 999999 13983 COLUMBIA MUNICIPAL AP US MO COU 38.967 -92.367 237.1 19450101 19691101 999999 13984 CONCORDIA BLOSSER MUNI AP US KS KCNK 39.551 -97.65100000000001 452.3 19480101 19721231 999999 13985 DODGE CITY MUNICIPAL ARPT US KS KDDC 37.769 -99.96799999999999 790.0 19480101 19721231 999999 13986 HUTCHINSON MUNICIPAL AP US KS KHUT 38.065 -97.861 470.0 19480101 19511231 999999 13987 JOPLIN MUNICIPAL AP US MO KJLN 37.147 -94.50200000000001 300.2 19480101 19550101 999999 13988 KANSAS CITY MUNICIPAL AP US MO KMKC 39.121 -94.59700000000001 228.6 19650101 19721001 999999 13989 EMPORIA MUNICIPAL AP US KS KEMP 38.329 -96.195 367.6 19501101 19550101 999999 13990 LEBO CAA AIRPORT US KS 38.433 -95.8 352.0 19480501 19501001 999999 13991 MARSHALL US MO 39.117 -93.21700000000001 240.8 19480101 19500501 999999 13992 NEW FLORENCE US MO 38.883 -91.43299999999999 269.1 19480101 19500501 999999 13993 ST JOSEPH WBO US MO KSTJ 39.774 -94.92299999999999 249.3 19480101 19721231 999999 13994 ST LOUIS LAMBERT INT'L ARPT US MO KSTL 38.753 -90.374 216.4 19450101 19721231 999999 13995 SPRINGFIELD MUNICIPAL ARPT US MO KSGF 37.24 -93.39 387.1 19480101 19721231 999999 13996 TOPEKA MUNICIPAL AP US KS KTOP 39.073 -95.626 269.7 19480101 19721231 999999 13997 VICHY ROLLA NATL ARPT US MO KVIH 38.131 -91.76799999999999 346.6 19480101 19650101 999999 13998 WICHITA US KS 37.683 -97.35 387.1 19480101 19540101 999999 13999 CLINTON NAS US OK KCLK 35.538000000000004 -98.93299999999999 492.3 19450201 19460515 999999 14601 DOW AFB US ME BGR 44.8 -68.817 52.1 19490101 19710101 999999 14605 AUGUSTA AIRPORT US ME KAUG 44.316 -69.797 109.7 19490101 19550101 999999 14606 BANGOR AIRPORT US ME KBGR 44.798 -68.819 58.5 19720201 19721231 999999 14607 CARIBOU MUNICIPAL ARPT US ME KCAR 46.871 -68.017 190.2 19480101 19721231 999999 14608 EASTPORT US ME KEPO 44.917 -67.0 28.0 19480101 19480403 999999 14610 MILLINOCKET MUNICIPAL AP US ME KMLT 45.648 -68.693 122.5 19490101 19650101 999999 14611 BRUNSWICK NAS US ME KNHZ 43.9 -69.933 22.9 19450201 19721231 999999 14622 OLD TOWN FAA AIRPORT US ME KOLD 44.95 -68.667 41.1 19490101 19720201 999999 14623 LORING AFB US ME KLIZ 46.95 -67.883 221.0 19710101 19710101 999999 14657 GEORGES SHOALS AFS US MA 41.683 -67.783 25.9 19560312 19630625 999999 14658 NANTUCKET SHOALS AFS US MA 41.016999999999996 -69.5 27.1 19570410 19630625 999999 14697 CUTLER US ME 44.633 -67.283 25.9 19800301 19801231 999999 14707 GROTON AAF US CT KGON 41.328 -72.04899999999999 3.0 19500601 19631231 999999 14708 HEMPSTEAD MITCHELL FLD AFB US NY 40.733000000000004 -73.6 38.1 19490101 19610416 999999 14710 MANCHESTER MUNICIPAL AP US NH KMHT 42.933 -71.438 70.7 19490101 19680624 999999 14732 NEW YORK LAGUARDIA ARPT US NY KLGA 40.779 -73.88 9.4 19480701 19721231 999999 14733 BUFFALO BUFFALO ARPT US NY KBUF 42.941 -78.736 214.9 19720101 19721231 999999 14734 NEWARK INTERNATIONAL ARPT US NJ KEWR 40.683 -74.169 9.1 19480101 19721231 999999 14735 ALBANY COUNTY AP US NY KALB 42.743 -73.809 89.0 19450101 19721231 999999 14736 ALTOONA BLAIR CO ARPT US PA KAOO 40.296 -78.32 447.8 19490201 19550101 999999 14737 ALLENTOWN BETHLEHEM-EASTON AR US PA KABE 40.650999999999996 -75.449 117.3 19480101 19721231 999999 14738 BINGHAMTON TRI-CITIES ARPT US NY 42.083 -76.1 253.9 19480101 19510701 999999 14740 HARTFORD BRADLEY INTL AP US CT KBDL 41.938 -72.683 54.6 19490101 19721231 999999 14741 BROOKVILLE FAA AP US PA 41.15 -79.1 427.0 19490101 19590101 999999 14742 BURLNGTN ETAN ALN AP US VT KBTV 44.468 -73.15 103.6 19650101 19721231 999999 14743 CANTON 4 SE US NY 44.583 -75.117 121.9 19460101 19501031 999999 14745 CONCORD MUNICIPAL ARPT US NH KCON 43.195 -71.501 105.5 19480101 19721231 999999 14746 CURWENSVILLE US PA 41.05 -78.583 675.1 19480101 19520416 999999 14747 DUNKIRK CHAUTAUQUA CO AP US NY KDKK 42.493 -79.27199999999999 211.2 19490101 19540101 999999 14748 ELMIRA AIRPORT US NY KELM 42.159 -76.892 290.8 19490201 19550101 999999 14749 FORT PLAIN WB AP US NY 42.967 -74.667 217.0 19480101 19480901 999999 14750 GLENS FALLS AP US NY KGFL 43.35 -73.617 101.5 19490201 19550101 999999 14751 HARRISBURG STATE ARPT US PA KCXY 40.217 -76.851 105.8 19650101 19721231 999999 14752 HARTFORD BRAINARD FD US CT KHFD 41.736000000000004 -72.65100000000001 5.8 19450101 19540810 999999 14753 BLUE HILL OBSERVATORY US MA 42.211999999999996 -71.11399999999999 190.5 19981001 19991231 999999 14754 TOBYHANNA US PA 7TB 41.183 -75.417 594.4 19480101 19481001 999999 14757 POUGHKEEPSIE DUTCHESS CO AP US NY KPOU 41.626999999999995 -73.884 49.4 19490101 19550101 999999 14758 NEW HAVEN TWEED AIRPORT US CT KHVN 41.263999999999996 -72.887 4.0 19480101 19690601 999999 14760 PARK PLACE 1 NW WB US PA PKL 40.85 -76.117 591.0 19480101 19540610 999999 14761 PHILIPSBURG MID-STATE ARPT US PA KPSB 40.9 -78.083 593.8 19480101 20041231 999999 14762 PITTSBURGH ALLEGHENY CO AP US PA KAGC 40.355 -79.922 388.0 19450101 19520915 999999 14763 PITTSFIELD MUNICIPAL AP US MA KPSF 42.427 -73.289 363.9 19480101 20051231 999999 14764 PORTLAND INTL JETPORT US ME KPWM 43.65 -70.3 19.2 19480101 19721231 999999 14765 PROVIDENCE T F GREEN ARPT US RI KPVD 41.722 -71.433 18.9 19480101 19721231 999999 14768 ROCHESTER MONROE CO ARPT US NY KROC 43.117 -77.67699999999999 169.2 19480101 19721231 999999 14770 SELINSGROVE PENN VALLEY AP US PA KSEG 40.821 -76.86399999999999 137.2 19490201 19550101 999999 14771 SYRACUSE MUNICIPL AP US NY KSYR 43.111000000000004 -76.104 127.1 19650101 19721231 999999 14772 TICONDEROGA 3 NE US NY 43.883 -73.4 64.0 19480101 19480915 999999 14774 UTICA CAA AP US NY 43.167 -75.317 163.1 19490101 19501125 999999 14775 WESTFIELD BARNES MUNI AP US MA KBAF 42.158 -72.71600000000001 82.6 19490101 19520502 999999 14776 LEBANON MUNICIPAL US NH KLEB 43.626000000000005 -72.305 173.7 19490101 19590101 999999 14777 WILKES-BARRE SCRANTON AP US PA KAVP 41.333999999999996 -75.727 293.2 19490101 19721231 999999 14778 WILLIAMSPORT-LYCOMING COUNTY US PA KIPT 41.243 -76.922 160.0 19480701 19721231 999999 14780 LAKEHURST NAS US NJ KNEL 40.033 -74.35 31.4 19450201 19721231 999999 14781 AYER US MA 42.567 -71.6 82.0 19450301 19450930 999999 14784 LEWISTON NAAF US ME 44.05 -70.25 82.9 19450301 19450501 999999 14786 NEW YORK FLOYD BENNE US NY NSC 40.583 -73.883 4.9 19450401 19701101 999999 14788 QUONSET POINT NAS US RI 41.583 -71.417 9.1 19450301 19740405 999999 14789 SQUANTUM NAS US MA 42.266999999999996 -71.033 4.9 19480201 19531220 999999 14790 SOUTH WEYMOUTH NAS US MA KNZW 42.15 -70.933 49.4 19460401 20041231 999999 14792 TRENTON MERCER COUNTY AP US NJ KTTN 40.277 -74.816 64.9 19450220 19451001 999999 14793 WILLOW GROVE NAS US PA KNXX 40.2 -75.15 110.3 19450201 19721201 999999 14797 BEAR MOUNTAIN WB US NY 41.317 -74.0 396.8 19480101 19530515 999999 14799 BLOCK ISLAND US RI BID 41.167 -71.567 13.1 19480101 19490611 999999 14804 MOUNT CLEMENS SELFRIDGE FLD US MI KMTC 42.608000000000004 -82.818 176.8 19361201 19361231 999999 14808 OSCODA WURTSMITH AAF US MI KOSC 44.45 -83.4 193.2 19710101 19710101 999999 14810 PARK RIDGE AF US IL 41.983000000000004 -87.9 203.0 19490101 19581101 999999 14812 MERCER WB AP US PA 41.283 -80.2 394.1 19480101 19480915 999999 14813 AKRON FULTON INTERNATIONAL AP US OH KAKR 41.038000000000004 -81.464 335.6 19480101 19480701 999999 14814 ALPENA WASTEWATER PL US MI KAPE 45.067 -83.43299999999999 179.8 19480101 19490101 999999 14815 BATTLE CREEK KELLOGG AP US MI KBTL 42.308 -85.251 286.2 19490101 19550101 999999 14816 BRADFORD US IL BDF 41.233000000000004 -89.617 242.0 19481201 19550101 999999 14817 CADILLAC WEXFORD CO AP US MI KCAD 44.283 -85.417 398.4 19481201 19550101 999999 14819 CHICAGO MIDWAY AP US IL KMDW 41.786 -87.75200000000001 188.4 19480101 19721231 999999 14820 CLEVELAND HOPKINS INTL AP US OH KCLE 41.405 -81.85300000000001 245.4 19480101 19721231 999999 14821 COLUMBUS MUNICIPAL ARPT US OH KCMH 39.991 -82.881 248.7 19480101 19721231 999999 14822 DETROIT CITY AIRPORT US MI KDET 42.409 -83.01 190.8 19480101 19721231 999999 14823 EAST LIVERPOOL WB AP US OH 40.683 -80.633 355.1 19480101 19480901 999999 14825 FINDLAY AIRPORT US OH KFDY 41.013999999999996 -83.669 247.5 19481201 19550101 999999 14826 FLINT BISHOP ARPT US MI KFNT 42.967 -83.749 233.5 19481201 19721231 999999 14827 FORT WAYNE CITY US IN KFWA 40.971000000000004 -85.206 252.4 19650101 19721231 999999 14828 GLADWIN US MI 43.983000000000004 -84.48299999999999 236.2 19481201 19550101 999999 14829 GOSHEN MUNICIPAL AP US IN KGSH 41.533 -85.78299999999999 252.1 19481201 19550101 999999 14830 GRAND RAPIDS US MI 42.9 -85.667 213.1 19450101 19631201 999999 14831 GREEN BAY US WI 44.516999999999996 -87.96700000000001 182.0 19480101 19490101 999999 14833 JACKSON REYNOLDS FIELD US MI KJXN 42.266999999999996 -84.46700000000001 310.9 19490101 19550101 999999 14834 JOLIET US IL KJOT 41.5 -88.167 177.1 19460101 19530315 999999 14835 WEST LAFAYETTE PURDUE UNIV AP US IN KLAF 40.412 -86.93700000000001 194.2 19481201 19550101 999999 14836 LANSING CAPITAL CITY ARPT US MI KLAN 42.78 -84.579 266.4 19480101 19721231 999999 14837 MADISON TRUAX FIELD US WI KMSN 43.141000000000005 -89.345 264.0 19650101 19721231 999999 14838 MARQUETTE WBO US MI 46.567 -87.4 206.3 19480101 19490101 999999 14839 MILWAUKEE NB SIDE PO US WI KMKE 42.955 -87.904 211.2 19650101 19721231 999999 14840 MUSKEGON COUNTY ARPT US MI KMKG 43.17100000000001 -86.23700000000001 192.9 19480101 19721231 999999 14841 PELLSTON EMMET COUNTY AP US MI KPLN 45.56399999999999 -84.79299999999999 217.9 19480101 19550101 999999 14842 PEORIA GREATER PEORIA AP US IL KPIA 40.668 -89.684 201.8 19480101 19721231 999999 14843 PERRY CAA AP US OH 41.783 -81.1 210.9 19481201 19500122 999999 14844 ROCKFORD CAA AIRPORT US IL 42.35 -89.05 225.9 19481201 19510301 999999 14845 SAGINAW TRI CITY INTL AP US MI KMBS 43.533 -84.08 204.2 19481201 19650101 999999 14848 SOUTH BEND ST JOSEPH CO ARPT US IN KSBN 41.707 -86.316 235.6 19480101 19721231 999999 14849 TOLEDO WBAS US OH 41.567 -83.46700000000001 193.9 19460101 19550112 999999 14850 TRAVERSE CITY CHERRY CAPITAL US MI KTVC 44.74100000000001 -85.583 192.0 19481201 19721231 999999 14851 MARQUETTE K I SAWYER AP US MI 46.35 -87.4 360.0 19491201 19551130 999999 14852 YOUNGSTOWN MUNICIPAL ARPT US OH KYNG 41.254 -80.67399999999999 361.5 19650101 19721231 999999 14853 DETROIT WILLOW RUN AP US MI KYIP 42.233000000000004 -83.53299999999999 218.2 19480101 19681001 999999 14855 NAVAL AIR STATION US IL 42.083 -87.833 196.9 19450315 20031231 999999 14856 GROSSE ILE NAS US MI NFB 42.1 -83.167 180.1 19450301 19691001 999999 14857 TRAVERSE CITY US MI 44.717 -85.55 189.9 19450201 19451023 999999 14858 HANCOCK HOUGHTON CO AP US MI KCMX 47.169 -88.48899999999999 328.9 19480101 19650101 999999 14859 GRAND MARAIS 2 E US MI 46.667 -85.95 190.2 19481201 19550101 999999 14860 ERIE INTERNATIONAL AP US PA KERI 42.08 -80.183 224.6 19480101 19721231 999999 14891 MANSFIELD LAHM AP US OH KMFD 40.82 -82.51799999999999 399.9 19481201 19721231 999999 14894 WHEELING OHIO COUNTY AP US WV KHLG 40.176 -80.64699999999999 364.2 19490201 19530814 999999 14895 AKRON AKRON-CANTON AIRPORT US OH KCAK 40.917 -81.433 376.7 19480701 19721231 999999 14896 AKRON NAS US OH 41.033 -81.483 323.1 19520101 19571130 999999 14897 WAUSAU MUNICIPAL ARPT US WI KAUW 44.928999999999995 -89.62799999999999 364.5 19491111 19650101 999999 14898 GREEN BAY AUSTIN STRAUBEL FIE US WI KGRB 44.479 -88.137 214.0 19490901 19721231 999999 14904 LINCOLN AFB US NE LNK 40.85 -96.76700000000001 356.0 19540701 19640615 999999 14910 ALEXANDRIA MUNICIPAL AP US MN KAXN 45.868 -95.39399999999999 436.2 19481201 19550101 999999 14913 DULUTH WILLIAMSN-JOHNSN MUNI US MN KDLH 46.836999999999996 -92.18299999999999 431.9 19650101 19721231 999999 14914 FARGO HECTOR ARPT US ND KFAR 46.925 -96.811 274.0 19650101 19721231 999999 14916 GRAND FORKS INTERNATIONAL AP US ND KGFK 47.943000000000005 -97.184 253.6 19481201 19590101 999999 14918 INTERNATIONAL FALLS INTL AP US MN KINL 48.56100000000001 -93.398 360.6 19480101 19721231 999999 14919 JAMESTOWN MUNICIPAL ARPT US ND KJMS 46.926 -98.669 455.4 19481201 19550101 999999 14920 LA CROSSE MUNI AP US WI KLSE 43.879 -91.25299999999999 199.9 19650101 19721231 999999 14921 LONE ROCK FAA AP US WI KLNR 43.211999999999996 -90.181 219.8 19481201 19550101 999999 14922 MINNEAPOLIS-ST PAUL WOLD-CHAM US MN KMSP 44.883 -93.229 255.4 19650101 19721231 999999 14923 MOLINE QUAD CITY ARPT US IL KMLI 41.465 -90.523 181.1 19480209 19721231 999999 14924 PEMBINA US ND 48.967 -97.23299999999999 240.8 19481201 19501001 999999 14925 ROCHESTER MUNICIPAL ARPT US MN KRST 43.903999999999996 -92.492 402.3 19480101 19721231 999999 14926 ST CLOUD MUNICIPAL ARPT US MN KSTC 45.543 -94.051 312.1 19480101 19721231 999999 14927 ST PAUL DOWNTOWN AP US MN KSTP 44.931999999999995 -93.056 216.7 19480101 19530601 999999 14928 WLMR MUNI-J L RICE FD ARPT US MN 45.117 -95.083 344.1 19481201 19501001 999999 14929 ABERDEEN MUNICIPAL ARPT US SD KABR 45.443000000000005 -98.413 396.2 19480101 19721231 999999 14931 BURLINGTON MUNICIPAL AP US IA KBRL 40.783 -91.125 214.0 19480101 19721231 999999 14933 DES MOINES MUNICIPAL ARPT US IA KDSM 41.534 -93.65299999999999 293.5 19450101 19721231 999999 14934 DUBUQUE WB CITY US IA 42.5 -90.667 207.0 19480101 19490101 999999 14935 GRAND ISLAND ARPT US NE KGRI 40.961000000000006 -98.314 565.7 19480101 19721231 999999 14936 HURON MUNICIPAL ARPT US SD KHON 44.398 -98.223 392.9 19400101 19721231 999999 14937 IOWA CITY MUNICIPAL AP US IA KIOW 41.633 -91.54299999999999 203.6 19490101 19961231 999999 14938 KIRKSVILLE CANNON MEMORIAL AP US MO KIRK 40.097 -92.54299999999999 294.1 19480101 19550101 999999 14939 LINCOLN AIR BASE US NE KLNK 40.851 -96.74799999999999 362.4 19480101 19721231 999999 14940 MASON CITY MUNICIPAL ARPT US IA KMCW 43.153999999999996 -93.32700000000001 373.4 19480101 19721231 999999 14941 NORFOLK KARL STEFAN MEM ARPT US NE KOFK 41.986000000000004 -97.435 472.7 19480101 19721231 999999 14942 OMAHA EPPLEY AIRFIELD US NE KOMA 41.31 -95.899 299.3 19480101 19721231 999999 14943 SIOUX CITY MUNICIPAL ARPT US IA KSUX 42.391000000000005 -96.37899999999999 336.2 19480101 19721231 999999 14944 SIOUX FALLS FOSS FLD US SD KFSD 43.578 -96.75399999999999 434.9 19480101 19721231 999999 14945 TARKIO US MO 40.417 -95.4 317.0 19480101 19510101 999999 14947 MINNEAPOLIS NAS US MN MSP 44.883 -93.21700000000001 255.1 19450301 19611231 999999 14948 OTTUMWA NAS US IA 41.1 -92.43299999999999 257.9 19450201 19470811 999999 14950 OTTUMWA INDUSTRIAL AP US IA KOTM 41.108000000000004 -92.447 257.6 19480101 19550101 999999 14991 EAU CLAIRE MUNICIPAL AP US WI KEAU 44.867 -91.488 272.8 19491001 19721231 999999 14993 LAMONI FAA AIRPORT US IA 40.65 -94.0 356.0 19500101 19510101 999999 14994 LEXINGTON US NE KLXN 40.789 -99.771 735.5 19510101 20041231 999999 14995 GRANTSBURG US WI 45.766999999999996 -92.667 274.9 19500701 19550101 999999 15015 CHELVESTON UK 52.3 0.5329999999999999 92.0 19560601 19640229 999999 15027 WARRINGTON UK 53.383 -2.65 27.1 19490101 19590430 999999 15033 HUNTINGTON UK EGWZ 52.367 0.217 49.1 19550909 19671231 999999 15040 GREENHAM UK EGVI 51.383 -1.2830000000000001 125.0 19551001 19640602 999999 15042 BRUNTINGTHORPE UK 52.467 -1.117 150.9 19570701 19620824 999999 15620 SAGLEK CA 58.483000000000004 -62.65 18.0 19531205 19600630 999999 16201 KEFLAVIK IC BIKF 63.967 -22.6 50.0 19720101 19721231 999999 16407 SIMIUTAK GL 60.683 -46.533 61.9 19490101 19570701 999999 17503 CAMP TUTO SITE 2 GL 76.983 -56.067 124.1 19580617 19600824 999999 17605 THULE OP SITE GL BGTL 76.517 -68.833 77.1 19510901 19710101 999999 17611 CAMP TUTO ICECAP STA GL 76.417 -68.317 488.0 19570601 19650801 999999 17612 CAMP TUTO ICECAP ST GL 76.417 -68.25 579.1 19570601 19580913 999999 17614 CAMP TUTO ICECAP STA GL 76.4 -68.133 750.1 19570601 19600908 999999 17615 CAMP CENTURY GL 77.167 -61.133 305.1 19610101 19650813 999999 17617 CAMP TUTO EAST ASC S GL 76.383 -67.917 701.0 19601101 19630901 999999 21503 HILO NAS US HI 19.717 -155.05 11.9 19450701 19460101 999999 21504 HILO INTERNATIONAL AP US HI PHTO 19.719 -155.053 11.0 19491001 19721231 999999 21514 MAUNA LOA 5 NNE US HI 19.535 -155.576 3407.4 20050927 20200625 999999 21515 HILO 5 S US HI 19.645 -155.083 189.6 20050927 20200625 999999 21601 JOHNSTON ISLAND PN 16.733 -169.517 4.9 19490101 19581019 999999 21603 JOHNSTON IS WSO AP PN JQ PJON 16.733 -169.517 5.2 19581020 19721231 999999 22001 DEL RIO LAUGHLIN AAF US TX KDLF 29.366999999999997 -100.78299999999999 329.5 19710101 19710101 999999 22016 PANTHER JUNCTION 2 N US TX 29.348000000000003 -103.209 1065.0 20070224 20200625 999999 22501 BARKING SANDS US HI PHBK 22.033 -159.783 3.7 19720101 19721231 999999 22508 WHEELER AFB 810.1 US HI PHHI 21.487 -158.028 255.1 19710101 19710101 999999 22514 BARBERS POINT US HI PHNA 21.316999999999997 -158.067 15.2 19490101 20001101 999999 22515 EWA MCAS US HI 21.333000000000002 -158.05 20.1 19450401 19490301 999999 22517 PEARL HARBOR NAS US HI NPS 21.35 -157.95 10.1 19450401 19490425 999999 22519 KANEOHE BAY MCAS US HI PHNG 21.45 -157.783 5.5 19450401 19721231 999999 22525 PUUNENE CAA AP US HI 20.833000000000002 -156.467 39.9 19491001 19581220 999999 22526 PORT ALLEN CAA AP US HI 21.9 -159.6 9.1 19491001 19501201 999999 22536 LIHUE AIRPORT US HI PHLI 21.984 -159.341 45.1 19500201 19721231 999999 22602 FRNCH FRIGAT SHS NAS US HI 23.783 -166.217 2.1 19450401 19480501 999999 22703 MIDWAY ISLAND US HI 28.217 -177.38299999999998 6.1 19500605 19500927 999999 23012 DENVER LOWRY AFB US CO LRY 39.717 -104.9 1645.0 19460801 19660701 999999 23017 SAN ANGELO GOODFELLOW AFB US TX GOF 31.4 -100.4 573.0 19490101 19580829 999999 23019 BIGGS AFB US TX BIF 31.833000000000002 -106.4 1196.0 19490101 19660501 999999 23036 AURORA BUCKLEY FIELD ANGB US CO KBKF 39.717 -104.75 1725.8 19710101 19710101 999999 23042 LUBBOCK WEST TEXAS AIR TERMINA US TX KLBB 33.666 -101.823 987.9 19650101 19721231 999999 23043 ROSWELL MUNI AP US NM RNM 33.4 -104.53299999999999 1106.1 19480701 19690115 999999 23044 EL PASO MUNICIPAL ARPT US TX KELP 31.811 -106.376 1193.6 19670101 19711231 999999 23048 TUCUMCARI FAA AP US NM KTCC 35.181999999999995 -103.603 1231.1 19640101 19711231 999999 23050 ALBUQUERQUE MUNICIPAL ARPT US NM KABQ 35.042 -106.616 1619.7 19710101 19721231 999999 23051 CLAYTON MUNICIPAL AIRPARK US NM KCAO 36.449 -103.154 1515.5 19480701 19721231 999999 23052 RATON MUNICIPAL CREWS FIELD A US NM KRTN 36.741 -104.50200000000001 1935.2 19480701 19681129 999999 23053 PAMPA US TX 35.533 -100.96700000000001 985.1 19480701 19480901 999999 23055 GUADALUPE PASS US TX KGDP 31.831 -104.809 1663.0 19480701 19500901 999999 23056 OTTO FAA AP US NM 35.083 -106.01700000000001 1900.1 19480701 19550101 999999 23057 ACOMITA FAA AP US NM 35.05 -107.71700000000001 2007.1 19480701 19530429 999999 23058 COLUMBUS US NM 31.833000000000002 -107.633 1239.0 19480701 19550101 999999 23059 SALT FLAT US TX 31.75 -105.083 1132.9 19480701 19550101 999999 23060 EL MORRO CAA AP US NM 35.016999999999996 -108.4 2171.1 19480701 19490215 999999 23061 ALAMOSA ARPT US CO KALS 37.439 -105.861 2298.5 19480101 19721231 999999 23062 DENVER STAPLETON AIRFIELD US CO KDNR 39.766999999999996 -104.883 1626.1 19670101 19721231 999999 23063 EAGLE COUNTY AP US CO KEGE 39.65 -106.917 1991.9 19480101 19721231 999999 23065 GOODLAND RENNER FIELD US KS KGLD 39.367 -101.693 1124.1 19480101 19721231 999999 23066 GRAND JUNCTION WALKER FIELD US CO KGJT 39.134 -108.54 1474.9 19480101 19721231 999999 23067 LA JUNTA MUNICIPAL AP US CO KLHX 38.049 -103.512 1284.7 19480101 19650101 999999 23068 PUEBLO WB AIRPORT US CO 38.233000000000004 -104.633 1464.9 19480101 19540701 999999 23070 TRINIDAD LAS ANIMAS COUNTY AP US CO KTAD 37.262 -104.338 1750.5 19480101 19611001 999999 23072 CLARENDON MUNICIPAL AP US TX 34.95 -100.93299999999999 875.1 19480701 19500601 999999 23090 FARMINGTON MUNICIPAL AP US NM KFMN 36.744 -108.229 1677.0 19490101 19721231 999999 23109 DAVIS MONTHAN AFB US AZ KDMA 32.167 -110.883 824.2 19710101 19710101 999999 23110 LEMOORE REEVES NAS US CA KNLC 36.333 -119.95 71.3 19710101 19721231 999999 23118 STEAD AFB US NV RAA 39.667 -119.867 1531.9 19520801 19660331 999999 23122 NORTON AAF US CA KSBD 34.1 -117.25 335.0 19710101 20200625 999999 23131 GEORGE AFB US CA KVCV 34.583 -117.383 879.3 19710101 19710101 999999 23136 OXNARD AAF US CA KCMA 34.217 -119.083 19.8 19521209 20041231 999999 23141 INDIAN SPRINGS US NV KINS 36.583 -115.68299999999999 951.9 19630903 19680829 999999 23152 HOLLYWOOD BURBANK ARPT US CA KBUR 34.201 -118.35799999999999 223.1 19480101 19690101 999999 23153 TONOPAH AIRPORT US NV KTPH 38.051 -117.09 1656.3 19510402 19761231 999999 23154 ELY YELLAND FIELD US NV KELY 39.295 -114.84700000000001 1908.7 19530120 19721231 999999 23155 BAKERSFIELD KERN COUNTY ARPT US CA KBFL 35.434 -119.054 150.0 19480101 19721231 999999 23156 BEAUMONT 1 E US CA BUO 33.933 -116.96700000000001 794.0 19480101 19530826 999999 23157 BISHOP AIRPORT US CA KBIH 37.371 -118.35799999999999 1263.4 19480104 19721231 999999 23158 BLYTHE RIVERSIDE CO US CA KBLH 33.619 -114.714 119.5 19481101 19721231 999999 23159 BRYCE CNYN FAA AP US UT KBCE 37.705999999999996 -112.146 2313.1 19481101 19721231 999999 23160 TUCSON INTERNATIONAL AP US AZ KTUS 32.131 -110.955 778.8 19460601 19721231 999999 23161 DAGGETT BARSTOW-DAGGETT AP US CA KDAG 34.854 -116.786 588.0 19481101 19721231 999999 23162 DELTA FAA AP US UT KDTA 39.383 -112.51700000000001 1449.3 19481101 20041231 999999 23167 FRESNO CHANDLER FIELD US CA FCH 36.733000000000004 -119.81700000000001 84.1 19480101 19490901 999999 23169 LAS VEGAS MCCARRAN INTL AP US NV KLAS 36.071999999999996 -115.163 664.5 19481219 19721231 999999 23170 HANKSVILLE US UT KHVE 38.371 -110.715 1354.5 19481101 19550101 999999 23172 INDIO COACHELLA US CA 33.683 -116.167 -20.1 19481101 19500508 999999 23173 LAS VEGAS WB AP US NV 36.233000000000004 -115.03299999999999 573.9 19480101 19481219 999999 23174 LOS ANGELES MUNICIPAL ARPT US CA KLAX 33.938 -118.389 99.4 19470101 19721231 999999 23176 MILFORD MUNICIPAL AP US UT KMLF 38.417 -113.01700000000001 1534.1 19480723 19961231 999999 23177 MODENA US UT 37.8 -113.917 1663.9 19480101 19480801 999999 23178 MOUNT LAGUNA CAA AP US CA 32.867 -116.417 1893.1 19490101 19500224 999999 23179 NEEDLES AIRPORT US CA KEED 34.768 -114.619 278.6 19481101 19650101 999999 23180 NEWHALL AP US CA 34.4 -118.55 370.0 19480901 19490801 999999 23181 OCEANSIDE CAA AP US CA OCN 33.233000000000004 -117.417 7.9 19481101 19520201 999999 23182 PALMDALE AIRPORT US CA KPMD 34.629 -118.084 787.0 19481101 19650101 999999 23183 PHOENIX SKY HARBOR INTL AP US AZ KPHX 33.428000000000004 -112.00399999999999 337.4 19480101 19721231 999999 23184 PRESCOTT MUNICIPAL AP US AZ KPRC 34.652 -112.421 1539.8 19480101 19721231 999999 23185 RENO WBO US NV KRNO 39.484 -119.771 1341.1 19490101 19721231 999999 23187 SANDBERG US CA KSDB 34.744 -118.72399999999999 1378.6 19480101 19721231 999999 23188 SAN DIEGO LINDBERGH FIELD US CA KSAN 32.734 -117.18299999999999 8.5 19480101 19721231 999999 23190 SANTA BARBARA MUNICIPAL AP US CA KSBA 34.426 -119.84299999999999 6.1 19481101 19650101 999999 23191 SANTA CATALINA BUFFALO SPRING US CA KAVX 33.405 -118.416 488.3 19480101 19680323 999999 23192 SILVER LAKE CAA AP US CA 35.333 -116.083 281.0 19481101 19500731 999999 23193 TUCSON WBO US AZ 32.183 -110.917 780.0 19480101 19481101 999999 23194 WINSLOW MUNICIPAL AP US AZ KINW 35.028 -110.721 1488.3 19480101 19721231 999999 23195 YUMA INTL ARPT US AZ KYUM 32.667 -114.6 65.8 19480911 19721231 999999 23196 CHULA VISTA BROWN FIELD NAAS US CA KSDM 32.583 -116.98299999999999 159.4 19450401 19610501 999999 23199 EL CENTRO NAF US CA KNJK 32.817 -115.68299999999999 -13.1 19450201 19601101 999999 23202 TRAVIS FIELD AAB US CA KSUU 38.266999999999996 -121.93299999999999 18.9 19710101 19710101 999999 23225 BLUE CANYON AP US CA KBLU 39.277 -120.71 1610.3 19480101 19721231 999999 23226 DONNER SUMMIT US CA 39.317 -120.333 2194.0 19481101 19520131 999999 23230 OAKLAND METROPOLITAN US CA KOAK 37.721 -122.221 26.8 19480101 19721231 999999 23232 SACRAMENTO EXECUTIVE ARPT US CA KSAC 38.507 -121.495 7.6 19470701 19721231 999999 23233 SALINAS MUNICIPAL AP US CA KSNS 36.664 -121.60799999999999 23.5 19481101 19650101 999999 23234 SAN FRANCISCO INTL AP US CA KSFO 37.62 -122.365 5.5 19480101 19721231 999999 23236 SANTA MARIA HANCOCK FIELD US CA 34.933 -120.417 71.0 19480101 19541021 999999 23237 STOCKTON METROPOLITAN ARPT US CA KSCK 37.889 -121.226 8.2 19481101 19721231 999999 23238 WILLIAMS CAA AIRPORT US CA 39.1 -122.15 39.0 19481101 19521230 999999 23239 NAVAL AIR STATION US CA KNGZ 37.783 -122.31700000000001 4.3 19450301 20041231 999999 23240 NAVAL AUXILIARY LANDING FIELD US CA KNRC 37.4 -121.133 50.3 20020902 20041231 999999 23242 LIVERMORE NAS US CA 37.683 -121.7 196.9 19450201 19460811 999999 23244 MOUNTAIN VIEW MOFFETT FLD NAS US CA KNUQ 37.406 -122.04799999999999 10.4 19450303 19721231 999999 23245 MONTEREY NAF US CA KMRY 36.6 -121.867 50.0 19450301 19720301 999999 23246 SANTA ROSA NAAS US CA 38.417 -122.75 42.1 19450301 19470416 999999 23250 FARALLON ISLAND NAS US CA K50Q 37.7 -123.0 9.1 19450701 19450801 999999 23254 CONCORD CONCORD-BUCHANAN FIEL US CA KCCR 37.992 -122.055 18.3 19690101 19700101 999999 23259 MONTEREY PENINSULA AIRPORT US CA KMRY 36.588 -121.845 50.3 19980302 20051231 999999 23271 DOWNTOWN US CA 38.555 -121.41799999999999 11.6 19960702 20200624 999999 23272 DOWNTOWN US CA 37.771 -122.427 45.7 19450101 20200623 999999 23273 SANTA MARIA PUBLIC ARPT US CA KSMX 34.899 -120.449 72.5 19541021 19721231 999999 23275 UKIAH MUNICIPAL AP US CA KUKI 39.126 -123.20100000000001 190.8 19490912 19650101 999999 23293 SAN JOSE MUNICIPAL AP US CA KSJC 37.359 -121.92399999999999 15.2 19510101 19721231 999999 23801 TROY 2 W US AL 31.79 -86.0 143.9 20080115 20200625 999999 23802 THOMASVILLE 2 S US AL 31.881 -87.73700000000001 106.7 20080118 20200625 999999 23803 HOLLY SPRINGS 4 N US MS 34.821999999999996 -89.435 147.5 20080201 20200625 999999 23904 BATESVILLE 8 WNW US AR 35.82 -91.781 138.7 20061219 20200625 999999 23906 PORT ARANSAS 32 NNE US TX 28.305 -96.823 4.6 20071116 20200625 999999 23907 AUSTIN 33 NW US TX 30.622 -98.085 414.8 20080201 20200625 999999 23908 JOPLIN 24 N US MO 37.428000000000004 -94.583 290.2 20070525 20200625 999999 23909 SALEM 10 W US MO 37.634 -91.723 365.2 20070517 20200625 999999 24011 BISMARCK MUNICIPAL ARPT US ND KBIS 46.783 -100.757 506.0 19480101 19721231 999999 24012 DICKINSON MUNICIPAL AP US ND KDIK 46.799 -102.79700000000001 787.3 19481201 19721231 999999 24013 MINOT FAA AP US ND KMOT 48.255 -101.273 522.4 19481201 19721231 999999 24014 WILLISTON US ND 48.15 -103.617 577.9 19500313 19620101 999999 24015 AKRON WASHINGTON CO AP US CO KAKO 40.167 -103.21700000000001 1408.5 19480101 19550101 999999 24016 CASPER US WY 42.917 -106.333 1613.0 19480101 19500308 999999 24017 CHADRON MUNICIPAL AP US NE KCDR 42.836999999999996 -103.098 1004.6 19480101 19550101 999999 24018 CHEYENNE MUNICIPAL ARPT US WY KCYS 41.15 -104.81700000000001 1871.5 19710101 19721231 999999 24019 DOUGLAS US WY 4DG 42.75 -105.383 1466.1 19480601 19550101 999999 24020 HAYES CENTER US NE 40.516999999999996 -101.01700000000001 926.9 19480101 19501101 999999 24021 LANDER HUNT FIELD US WY KLND 42.815 -108.726 1694.1 19480101 19721231 999999 24022 LARAMIE GENERAL BREES FIELD US WY KLAR 41.317 -105.68299999999999 2216.5 19480101 19550101 999999 24023 NORTH PLATTE LEE BIRD FIELD US NE KLBF 41.121 -100.669 849.5 19480101 19721231 999999 24024 PHILIP 1 S US SD KPHP 44.051 -101.601 674.2 19480101 19550101 999999 24025 PIERRE REGIONAL AP US SD KPIR 44.381 -100.286 526.1 19480101 19721231 999999 24026 RAPID CITY US SD 44.15 -103.1 981.2 19480101 19750709 999999 24027 ROCK SPRINGS ARPT US WY KRKS 41.593999999999994 -109.053 2055.9 19480101 19721231 999999 24028 SCOTTSBLUFF W B HEILIG FIEL US NE KBFF 41.871 -103.59299999999999 1206.4 19480101 19721231 999999 24029 SHERIDAN COUNTY ARPT US WY KSHR 44.769 -106.969 1209.4 19480101 19721231 999999 24030 SIDNEY MUNICIPAL AP US NE KSNY 41.099 -102.986 1312.5 19480601 19550101 999999 24031 SINCLAIR CAA AP US WY 41.8 -107.05 2000.1 19480101 19510226 999999 24033 BILLINGS MUNICIPAL ARPT US MT KBIL 45.806999999999995 -108.542 1088.1 19480101 19721231 999999 24034 GLASGOW # 2 US MT 48.183 -106.633 637.0 19480101 19551025 999999 24035 HAVRE US MT 48.567 -109.667 759.9 19480101 19610131 999999 24036 LEWISTOWN MUNICIPAL ARPT US MT KLWT 47.049 -109.458 1263.7 19480101 19721231 999999 24037 MILES CITY MUNICIPAL ARPT US MT KMLS 46.427 -105.883 802.8 19480101 19721231 999999 24040 CUSTER US MT 46.133 -107.53299999999999 836.1 19480101 19500515 999999 24057 RAWLINS MUNICIPAL AP US WY KRWL 41.8 -107.2 2055.3 19550101 19650101 999999 24088 MOORCROFT 3 S US WY 44.217 -104.93299999999999 1318.3 19500101 19520715 999999 24089 CASPER NATRONA CO INTL AP US WY KCPR 42.898 -106.47399999999999 1612.4 19650101 19721231 999999 24091 IMPERIAL FAA AP US NE KIML 40.51 -101.62 997.6 19501201 19541231 999999 24101 OGDEN HILL AAF US UT KHIF 41.117 -111.96700000000001 1459.7 19710101 19710101 999999 24118 FORT BRIDGER AP US WY 41.4 -110.417 2140.9 19480601 19550101 999999 24119 BATTLE MOUNTAIN LANDER COUNTY US NV KBAM 40.611999999999995 -116.89200000000001 1381.4 19481101 19550101 999999 24120 COALVILLE SAWRS US UT CVL 40.917 -111.4 1763.0 19480101 19480611 999999 24121 ELKO MUNICIPAL ARPT US NV KEKO 40.829 -115.789 1546.6 19480101 19761231 999999 24122 FAIRFIELD CAA AP US UT 40.35 -112.05 1513.9 19481101 19500731 999999 24125 LUCIN US UT 41.35 -113.9 1362.2 19481101 19500306 999999 24126 OGDEN AIRPORT US UT KOGD 41.196000000000005 -112.01100000000001 1353.0 19480101 19550101 999999 24128 WINNEMUCCA MUNICIPAL ARPT US NV KWMC 40.902 -117.80799999999999 1314.9 19490915 19721231 999999 24129 WINNEMUCCA WB CITY US NV 40.967 -117.71700000000001 1309.1 19480101 19490207 999999 24130 BAKER MUNICIPAL AP US OR KBKE 44.843 -117.809 1028.1 19480101 19641231 999999 24131 BOISE AIR TERMINAL US ID KBOI 43.567 -116.241 874.2 19480101 19721231 999999 24132 BOZEMAN GALLATIN FIELD US MT KBZN 45.788000000000004 -111.161 1356.1 19480101 19550101 999999 24133 BURLEY MUNICIPAL ARPT US ID KBYI 42.542 -113.766 1267.1 19480101 19650101 999999 24134 BURNS FEDERAL BLDG US OR 4BW 43.583 -119.05 1262.2 19480101 19800215 999999 24135 BUTTE SILVER BOW CO ARPT US MT KBTM 45.965 -112.501 1686.5 19480101 19610101 999999 24137 CUT BANK MUNI AP US MT KCTB 48.603 -112.375 1169.8 19480101 19721231 999999 24138 DILLON US MT KDLN 45.258 -112.554 1591.7 19480101 19970630 999999 24139 DRUMMOND AVIATION US MT 46.638000000000005 -113.176 1219.2 19480101 19550101 999999 24140 DUBOIS FAA AIRPORT US ID DBS 44.167 -112.21700000000001 1563.9 19480101 19550101 999999 24141 EPHRATA AP FCWOS US WA KEPH 47.308 -119.515 383.7 19480101 19550101 999999 24142 US ID 42.917 -114.71700000000001 1088.1 19480101 19550101 999999 24143 GREAT FALLS INTL ARPT US MT KGTF 47.473 -111.382 1114.7 19480101 19721231 999999 24144 HELENA ARPT US MT KHLN 46.606 -111.964 1179.0 19480101 19721231 999999 24145 IDAHO FALLS FANNING FIELD US ID KIDA 43.516000000000005 -112.06700000000001 1446.0 19480101 19650101 999999 24146 KALISPELL GLACIER PK INT'L AR US MT KGPI 48.303999999999995 -114.264 906.2 19480101 19721231 999999 24147 LA CROSSE US WA 46.817 -117.883 452.0 19480101 19480919 999999 24148 LA GRANDE MUNI AP US OR KLGD 45.283 -118.0 828.1 19490101 19531231 999999 24149 LEWISTON NEZ PERCE COUNTY ARP US ID KLWS 46.375 -117.016 437.7 19480101 19721231 999999 24150 LIVINGSTON MISSION FIELD US MT KLVM 45.698 -110.441 1407.6 19480101 19550101 999999 24151 MALAD CITY AIRPORT US ID KMLD 42.148999999999994 -112.287 1372.5 19480101 19550101 999999 24152 MEACHUM EMERGENCY AP US OR KMEH 45.511 -118.425 1135.7 19480101 19721231 999999 24153 MISSOULA JOHNSON-BELL FLD US MT KMSO 46.92100000000001 -114.09299999999999 972.0 19480101 19721231 999999 24154 MULLAN PASS VOR/DME US ID KMLP 47.457 -115.645 1851.4 19480101 19550101 999999 24155 PENDLETON MUNICIPAL ARPT US OR KPDT 45.698 -118.855 461.5 19380101 19721231 999999 24156 POCATELLO MUNICIPAL ARPT US ID KPIH 42.92 -112.571 1364.9 19480101 19721231 999999 24157 SPOKANE US WA KGEG 47.622 -117.52799999999999 720.9 19680101 19711231 999999 24158 STREVELL US ID 4SV 42.016999999999996 -113.25 1609.3 19480101 19501216 999999 24159 SUPERIOR US MT 47.2 -114.883 826.0 19480101 19531114 999999 24160 WALLA WALLA MUNICIPAL AP US WA KALW 46.095 -118.287 367.3 19660101 19660101 999999 24161 WHITEHALL US MT 4HA 45.867 -111.96700000000001 1303.9 19480101 19550101 999999 24162 ONTARIO AIRPORT US OR KONO 44.021 -117.01299999999999 668.4 19480101 19550101 999999 24163 PASCO NAS US WA KPSC 46.266999999999996 -119.117 122.5 19450401 19460601 999999 24172 LOVELOCK DERBY FIELD US NV KLOL 40.068000000000005 -118.569 1189.9 19481101 19761231 999999 24193 WENDOVER USAF AUXILIARY FIELD US UT KENV 40.721 -114.036 1290.8 19500308 19721231 999999 24207 TACOMA MCCHORD AAF US WA KTCM 47.15 -122.48299999999999 98.5 19710101 19721231 999999 24212 BURNEY US CA KBNY 40.883 -121.667 962.6 19480101 19480927 999999 24215 MOUNT SHASTA US CA KMHS 41.333 -122.333 1077.5 19480401 19761231 999999 24216 RED BLUFF MUNICIPAL ARPT US CA KRBL 40.152 -122.25399999999999 107.6 19480101 19721231 999999 24219 THE DALLES MUNICIPAL ARPT US WA KDLS 45.619 -121.166 64.0 19480101 19650101 999999 24220 ELLENSBURG BOWERS FI US WA KELN 47.034 -120.53 538.0 19480601 19550101 999999 24221 EUGENE MAHLON SWEET ARPT US OR KEUG 44.128 -123.221 113.7 19480101 19721231 999999 24223 KELSO WB AP US WA KKLS 46.117 -122.89399999999999 6.1 19480101 19530831 999999 24224 KLAMATH FALLS KINGSLEY FIELD US OR 42.167 -121.73299999999999 1244.8 19480101 19590901 999999 24225 MEDFORD JACKSON COUNTY ARPT US OR KMFR 42.381 -122.87200000000001 405.1 19480101 19721231 999999 24226 NORTH HEAD US WA 46.3 -124.083 64.0 19480101 19490101 999999 24227 OLYMPIA MUNICIPAL ARPT US WA KOLM 46.973 -122.90299999999999 61.0 19480101 19721231 999999 24228 PORT ANGELES WB AP US WA NOW 48.133 -123.4 6.1 19490101 19530201 999999 24229 PORTLAND US OR KPDX 45.596000000000004 -122.609 32.6 19650101 19721231 999999 24230 REDMOND ROBERTS FIELD US OR KRDM 44.256 -121.139 940.0 19480101 19721231 999999 24231 ROSEBURG MUNICIPAL AP US OR KRBG 43.239 -123.355 155.1 19480101 19650101 999999 24232 SALEM MCNARY FIELD US OR KSLE 44.905 -123.001 61.3 19480101 19721231 999999 24233 SEATTLE SEATTLE-TACOMA ARPT US WA KSEA 47.443999999999996 -122.314 132.3 19700101 19721231 999999 24234 SEATTLE BOEING FIELD US WA KBFI 47.53 -122.301 9.1 19650101 19721231 999999 24235 SEXTON SUMMIT US OR KSXT 42.6 -123.36399999999999 1170.7 19480101 19721231 999999 24236 SISKIYOU SUMMIT US OR 42.083 -122.56700000000001 1367.0 19480101 19480919 999999 24237 STAMPEDE PASS US WA KSMP 47.277 -121.337 1209.1 19480101 19721231 999999 24238 STEVENSON US WA 45.717 -121.833 96.9 19490101 19520416 999999 24240 TATOOSH ISLAND US WA K93S 48.383 -124.73299999999999 25.9 19480101 19660801 999999 24241 TOLEDO WINLOCK MUNI AP US WA KTDO 46.483000000000004 -122.81700000000001 114.3 19480101 20051231 999999 24243 YAKIMA AIR TERMINAL US WA KYKM 46.568000000000005 -120.54299999999999 324.9 19480101 19721231 999999 24244 SEATTLE NAS US WA NEJ 47.683 -122.26700000000001 14.9 19450301 19700601 999999 24246 ASTORIA NAS US OR 46.167 -123.883 4.0 19450401 19460520 999999 24248 CORVALLIS NAAS US OR 44.5 -123.28299999999999 75.0 19450622 19450915 999999 24249 KLAMATH FALLS NAS US OR 42.133 -121.75 1247.9 19450401 19451001 999999 24250 LAKEVIEW NSA US OR 42.15 -120.4 1444.1 19450401 19451001 999999 24251 NORTH BEND NAAF US OR 43.417 -124.23299999999999 15.8 19450501 19450915 999999 24252 QUILLAYUTE NAAS US WA 47.95 -124.53299999999999 61.9 19450301 19450901 999999 24253 SHELTON NAAS US WA 47.233000000000004 -123.133 91.1 19450401 19450916 999999 24254 TILLAMOOK NAS US OR 45.417 -123.8 11.9 19460101 19480430 999999 24255 WHIDBEY ISLAND NAS US WA KNUW 48.35 -122.667 14.3 19450401 19721231 999999 24259 MONTAGUE SISKIYOU COUNTY AP US CA KSIY 41.781000000000006 -122.47200000000001 805.0 19560101 19660101 999999 24278 HOQUIAM US WA 46.967 -123.883 4.9 19530501 19530601 999999 24281 WSMO (EMSU) US WA 47.65 -122.3 5.8 19960702 20031231 999999 24283 ARCATA AIRPORT US CA KACV 40.978 -124.109 64.0 19491201 19721231 999999 24284 NORTH BEND MUNI AIRPORT US OR KOTH 43.413000000000004 -124.244 5.2 19490501 19761231 999999 24285 NEWPORT MUNICIPAL AP US OR KONP 44.583 -124.05 48.8 19490801 19501115 999999 24286 CRESCENT CITY FAA AI US CA KCEC 41.78 -124.23700000000001 16.8 19491015 19550101 999999 25237 HOLBERG CA CYHJ 50.65 -128.0 569.1 19560611 19691230 999999 25309 JUNEAU MUNICIPAL ARPT US AK PAJN 58.357 -134.564 7.3 19480701 19721231 999999 25310 ANGOON US AK PAGN 57.498999999999995 -134.586 0.0 19480724 19480901 999999 25315 CAPE DECISION US AK CDE 56.0 -134.13299999999998 14.9 19480701 19480901 999999 25316 CAPE SPENCER US AK CSP 58.2 -136.63299999999998 27.1 19480701 19480901 999999 25317 CRAIG US AK CGA 55.483000000000004 -133.15 4.0 19480701 19480901 999999 25322 GUSTAVUS US AK PAGS 58.411 -135.709 9.1 19490101 19680701 999999 25323 HAINES US AK PAHN 59.243 -135.509 4.9 19480701 19530831 999999 25325 KETCHIKAN TONGASS US AK PAKT 55.357 -131.71200000000002 29.3 19480701 19480831 999999 25329 PETERSBURG US AK PAPG 56.806000000000004 -132.937 32.6 19480701 19560430 999999 25333 SITKA JAPONSKI AP US AK PASI 57.048 -135.365 20.4 19480701 19710201 999999 25339 YAKUTAT STATE AP US AK PAYA 59.512 -139.671 9.4 19490101 19721231 999999 25342 CAPE SAINT JAMES & CA WFV 51.933 -131.017 19530101 19721231 999999 25343 LANGARA CA CYLA 54.25 -133.05 41.1 19540101 19721231 999999 25379 SITKA 1 NE US AK 57.056999999999995 -135.327 23.8 20050815 20200625 999999 25380 GUSTAVUS 2 NE US AK 58.428999999999995 -135.69 6.1 20120719 20200625 999999 25381 METLAKATLA 6 S US AK 55.04600000000001 -131.588 32.0 20120726 20200625 999999 25382 YAKUTAT 3 SSE US AK 59.50899999999999 -139.685 7.9 20160827 20200625 999999 25403 MIDDLETON ISLAND AUT US AK PAMD 59.45 -146.317 36.9 19590101 19630701 999999 25506 ILIAMNA ARPT US AK PAIL 59.748999999999995 -154.909 48.8 19480701 19710131 999999 25507 HOMER MUNICIPAL ARPT US AK PAHO 59.641999999999996 -151.491 22.3 19480701 19721231 999999 25515 DRIFTWOOD BAY US AK DFB 53.967 -166.85 395.9 19590630 19690601 999999 25522 KING SALMON 42 SE US AK 58.208 -155.923 201.5 20120815 20200625 999999 25624 COLD BAY ARPT US AK PACD 55.221000000000004 -162.733 31.4 19550701 19721231 999999 25630 SAND POINT 1 ENE US AK 55.347 -160.466 73.2 20090820 20200625 999999 25701 ADAK DAVIS AFB US AK 51.883 -176.65 4.9 19490101 19500701 999999 25709 ASI TANAGA ISLAND NS US AK 51.75 -178.033 45.1 19470201 19490316 999999 25711 ST. PAUL 4 NE US AK 57.158 -170.21200000000002 6.1 20050807 20200625 999999 26114 CAPE YOUNG PIN 2 CA CYUI 68.933 -116.917 17.1 19530101 19671101 999999 26394 TUKTOYAKTUK CA CYUB 69.45 -133.017 5.0 19640101 19721231 999999 26401 ANCHORAGE ELMENDORF AFB US AK PAED 61.253 -149.79399999999998 64.9 20040702 20051231 999999 26403 LADD AAB US AK FBK 64.85 -147.583 148.1 19490101 19601101 999999 26413 FORT YUKON US AK PFYU 66.567 -145.267 138.4 19480701 19630930 999999 26414 SUMMIT AIRPORT US AK PAST 63.331 -149.127 734.3 19480701 20041231 999999 26416 BOUNDARY US AK BYA 64.067 -141.11700000000002 793.1 19480701 19480901 999999 26417 CAPE HINCHINBROOK US AK CHB 60.233000000000004 -146.65 56.1 19640701 19731231 999999 26418 CENTRAL NO 2 US AK PACE 65.567 -144.765 284.1 19480701 19480901 999999 26422 EAGLE AIRPORT US AK PAEG 64.777 -141.148 273.7 19980202 20051231 999999 26435 NENANA MUNICIPAL AP US AK PANN 64.55 -149.072 110.3 19490101 19710201 999999 26436 NORTH DUTCH ISLAND C US AK NDI 60.766999999999996 -147.8 11.9 19480701 19510914 999999 26437 PORTAGE US AK 60.85 -148.983 11.0 19480701 19480901 999999 26439 SHEEP MOUNTAIN US AK PASP 61.812 -147.507 835.2 19490101 20041231 999999 26442 VALDEZ WSO US AK PAVW 61.13 -146.352 11.3 19670702 19721231 999999 26445 YAKATAGA AP US AK PAWS 61.571999999999996 -149.54 107.9 19480701 19680523 999999 26451 ANCHORAGE INTL AP US AK PANC 61.169 -150.028 40.2 19531101 19721231 999999 26452 ELMENDORF 2 AFB US AK 61.25 -149.8 63.1 19531022 19560413 999999 26455 HUMPHREY POINT BAR A US AK 69.917 -142.333 7.0 19580401 19630901 999999 26457 CAMDEN BAY US AK 69.983 -144.833 3.0 19580324 19630801 999999 26458 GERSTLE RIVER US AK 63.85 -144.983 4.9 19691130 19700917 999999 26494 FAIRBANKS 11 NE US AK 64.97399999999999 -147.51 347.5 20020809 20200625 999999 26510 MCGRATH ARPT US AK PAMC 62.957 -155.61 103.0 19480703 19721231 999999 26512 MINCHUMINA US AK PAMH 63.886 -152.30200000000002 214.0 19480701 19690501 999999 26513 SHUNGNAK CAA US AK SHG 66.9 -157.033 42.1 19480709 19500915 999999 26514 SKWENTNA US AK PASW 61.977 -151.217 45.1 19480731 19590217 999999 26516 ANIAK AIRPORT US AK PANI 61.583 -159.533 25.9 19480701 19710131 999999 26517 BETTLES CAA US AK 66.9 -151.717 260.9 19480701 19510501 999999 26519 FAREWELL FAA AP US AK PAFK 62.516999999999996 -153.88299999999998 458.1 19480701 19710201 999999 26523 KENAI MUNICIPAL AP US AK PAEN 60.58 -151.239 28.0 19480701 19710201 999999 26526 PUNTILLA LAKE US AK KPTI 62.091 -152.735 566.3 20040702 20051231 999999 26528 TALKEETNA STATE ARPT US AK PATK 62.32 -150.095 108.5 19480701 19721231 999999 26529 TANANA RALPH M CALHOUN MEM AP US AK PATA 65.175 -152.107 67.1 19480701 19710311 999999 26533 BETTLES FIELD US AK PABT 66.54 -151.31 196.0 19520101 19721231 999999 26539 FIVE MILE CAMP US AK 66.083 -150.0 134.1 19741101 19751101 999999 26540 OLD MAN US AK 67.45 -150.583 11.0 19741101 19751101 999999 26547 HAYES RIVER US AK 61.983000000000004 -152.083 305.1 20050601 20051231 999999 26562 PORT ALSWORTH 1 SW US AK 60.195 -154.32 97.8 20090925 20200625 999999 26563 KENAI 29 ENE US AK 60.724 -150.44799999999998 86.0 20100830 20200625 999999 26564 IVOTUK 1 NNE US AK 68.485 -155.751 581.9 20140618 20200625 999999 26565 DEADHORSE 3 S US AK 70.16199999999999 -148.464 9.1 20140627 20200625 999999 26616 KOTZEBUE RALPH WEIN MEMORIAL US AK PAOT 66.867 -162.63299999999998 4.9 19450101 19721231 999999 26617 NOME MUNICIPAL ARPT US AK PAOM 64.51100000000001 -165.44 6.7 19470101 19721231 999999 26618 WALES US AK KWAA 65.617 -168.05 2.7 19560802 19580517 999999 26619 CANDLE US AK CDL 65.933 -161.917 7.0 19480701 19480901 999999 26627 UNALAKLEET FIELD US AK PAUN 63.883 -160.8 6.1 19480701 19721231 999999 26637 CAPE BEAUFORT LIZ A US AK 69.033 -163.783 14.9 19571014 19630824 999999 26638 POINT LAY LIZ 2 US AK PIZ 69.733 -163.017 6.1 19570801 19721231 999999 26655 RED DOG MINE 3 SSW US AK 68.028 -162.921 287.1 20100825 20200625 999999 26656 BETHEL 87 WNW US AK 61.347 -164.077 46.6 20180817 20200625 999999 26703 GAMBELL US AK PAGM 63.766999999999996 -171.733 7.9 19480701 19530701 999999 27102 HOLMAN ISLAND CA CYHI 70.5 -117.633 9.1 19580101 19840101 999999 27201 SACHS HARBOUR CA CYSY 71.95 -124.73299999999999 84.1 19551101 19840101 999999 27202 CAPE PARRY AIRPORT CA CZUE 70.167 -124.68299999999999 17.0 19560101 19721231 999999 27301 MCINTYRE POW C US AK 70.4 -148.7 4.9 19580301 19630701 999999 27403 OLIKTOK POW 2 US AK OLI 70.5 -149.88299999999998 4.9 19570809 19721231 999999 27404 FLAXMAN ISLAND POW 3 US AK 70.167 -146.833 7.0 19570815 19710701 999999 27405 PRUDHOE BAY US AK PAUD 70.25 -148.333 14.0 19680701 19721231 999999 27503 WAINWRIGHT AIRPORT US AK PAWI 70.639 -159.995 9.1 19480701 20051231 999999 27506 BARROW POINT BARROW US AK PBA 71.333 -156.65 6.1 19590826 19710101 999999 27507 PEARD BAY LIZ C US AK 70.8 -158.25 28.0 19570801 19630701 999999 27508 WAINWRIGHT LIZ 3 US AK PAWI 70.617 -159.85 27.1 19570802 19721231 999999 27510 CAPE SIMPSON POW A US AK 71.05 -154.75 3.0 19571101 19630903 999999 27511 KOGRU RIVER POW B US AK 71.583 -152.167 9.1 19580101 19630904 999999 27512 LONELY US AK LNI 70.917 -153.25 9.1 19570726 19721231 999999 27516 UTQIAÄ VIK FORMERLY BARROW 4 ENE US AK 71.321 -156.611 4.6 20020808 20200625 999999 27601 ICY CAPE LIZ B US AK 70.367 -161.75 14.9 19571101 19630828 999999 33126 SIGONELLA IT KQNS 37.4 14.917 31.1 19600311 19781231 999999 34048 CHATEAUROUX FR LFLX 46.85 1.7169999999999999 164.0 19510731 19661230 999999 34051 TOUL ROSIERE FR LFSL 48.766999999999996 5.983 288.0 19520319 19670131 999999 34052 CHAUMONT FR LFQU 48.1 5.05 313.0 19520505 19661230 999999 34053 LAON FR LLXO 49.633 3.55 82.9 19520531 19661230 999999 34061 EVREUX FR LFOE 49.016999999999996 1.2329999999999999 141.1 19541022 19670608 999999 34062 PHALSBOURG FR 48.817 7.2 313.0 19541024 19661118 999999 34065 DREUX FR LFOX 48.65 1.1 182.9 19550902 19661007 999999 34066 ORLEANS FR LFOS 47.933 1.883 128.0 19570301 19670317 999999 34067 BRIENNE FR LFOK 48.433 4.4830000000000005 120.1 19630102 19650521 999999 34071 VERDUN FR LFZU 49.117 5.4670000000000005 371.9 19591102 19670214 999999 34072 SUIPPES RANGE (MET) FR LFFS 49.15 4.533 19600201 19670228 999999 34194 VERONA IT LIPN 45.467 10.933 93.0 19600120 19671229 999999 34196 GABLINGEN GM EDOX 48.45 10.867 466.0 19630910 19671229 999999 35034 LAKENHEATH RAF UK EGUL 52.4 0.5670000000000001 10.1 19490501 19671231 999999 35046 MILDENHALL UK EGUN 52.367 0.483 10.1 19500714 19671231 999999 35047 MANSTON UK EGUM 51.35 1.367 43.9 19500720 19580531 999999 35048 BENTWATERS UK EGVJ 52.133 1.433 25.9 19510601 19671231 999999 35049 STANTON UK 52.317 0.917 61.0 19510601 19590109 999999 40308 YAP ISLAND WSO AP FM FM PTYA 9.482999999999999 138.083 17.1 19520101 19721231 999999 40309 KOROR WSO PS PC PTKR 7.332999999999999 134.483 33.2 19520101 19721231 999999 40504 WEATHER SERVICE BUILDING FM FM 6.9670000000000005 158.217 36.6 19530101 20200430 999999 40505 CHUUK WSO AP FM FM PTKK 7.45 151.833 2.4 19520101 19721231 999999 40604 KWAJALEIN MISSLE RAN RM PC PKWA 8.732999999999999 167.733 7.9 19530101 19721231 999999 40710 WEATHER SERVICE OFFICE BUILDING RM MH 7.065 171.27200000000002 3.1 19550131 20200430 999999 41003 DA NANG VM VVSD 16.05 108.2 7.0 19651130 19671231 999999 41013 KY HA VM IKYU 15.467 108.7 18.0 19650930 19671031 999999 41024 MARBLE MOUNTAIN VM 16.033 108.25 9.1 19660201 19671231 999999 41056 QUANG TRI VM VVQT 16.767 107.167 14.0 19671215 19691031 999999 41068 VANDERGRIF VM ILZV 16.683 106.833 36.9 19680714 19690930 999999 41224 SANGLEY POINT RP RPMS 14.5 120.917 2.1 19470101 19631231 999999 41225 SAN JOSE RP 12.6 121.0 4.0 19450514 19450917 999999 41226 LEYTE GULF NF RP RLTE 11.067 125.03299999999999 4.0 19450731 19450829 999999 41227 MANILA NF RP 14.6 121.0 4.0 19451231 19460131 999999 41228 MANILA NF RP 14.6 121.0 32.9 19460630 19470123 999999 41229 MANILA RP 14.55 120.98299999999999 4.0 19470131 19470630 999999 41230 OLONGAPO RP ROLP 14.817 120.28299999999999 4.0 19500110 19550729 999999 41231 CUBI POINT NF RP RPLB 14.8 120.26700000000001 14.0 19550731 19721231 999999 41406 GUAM WFO GQ PGUM 13.482999999999999 144.8 77.4 19450831 19950331 999999 41407 GUAM MARSHALL ISLAND GQ 13.467 144.25 54.9 19460531 19461231 999999 41408 SAIPAN MARSHALL ISLA CQ PGSN 15.117 145.7 32.0 19530509 19620618 999999 41411 GUAM OROTE GQ 13.433 144.63299999999998 24.1 19450531 19480529 999999 41412 SAIPAN MARSHALL ISLA RM 15.217 145.75 11.0 19501231 19510531 999999 41413 TINIAN CQ PGWT 15.0 145.63299999999998 82.0 19450630 19460228 999999 41415 GUAM WFO GQ GU PGUM 13.482999999999999 144.8 76.2 19671231 19721231 999999 41606 WAKE ISLAND WQ PC PWAK 19.283 166.65 3.7 19491031 19721231 999999 42204 KADENA AB JA RODN 26.35 127.76700000000001 43.0 19481231 19680331 999999 42210 YONABARU RYUKYU ISLA JA 26.2 127.75 9.1 19450831 19470930 999999 42215 FUTENMA US ROTM 26.267 127.75 84.1 19600630 19721231 999999 42216 HAMBY AAF JA ROHF 26.3 127.76700000000001 4.9 19630825 19680331 999999 42402 CHICHI JIMA BONIN IS JA RJAO 27.083000000000002 142.2 7.9 19531004 19680625 999999 42501 MARCUS ISLAND NF JA 24.283 153.967 7.0 19451231 19470731 999999 42502 MINAMI TORI SHIMA MA JA PZMI 24.3 153.967 6.1 19630630 19680630 999999 43204 HUNG CHIA CH 31.233 121.45 27.1 19451208 19490425 999999 43205 TSINGTAO CH 36.183 120.383 14.0 19451231 19480930 999999 43213 PUSAN AST - ROK K-9 KS RKPP 35.167 129.13299999999998 4.9 19500905 19621231 999999 43214 TAEJON ROK K-5 KS RKTD 36.45 127.43299999999999 39.9 19540630 19671231 999999 43220 KWANDAE RI TEAM 840 KS RKNK 38.016999999999996 128.13299999999998 181.1 19510909 19671231 999999 43238 YONGIL MAN MAG 12 KS 35.983000000000004 129.433 20.1 19511231 19560731 999999 43240 SACHON ROK K-4 KS RKPS 35.083 128.067 7.9 19540630 19700930 999999 43263 CHEJU DO K 39 KS 33.2 126.26700000000001 13.1 19540729 19671231 999999 43270 CHANGGAI GAP ROK K 3 KS 36.083 129.567 21.0 19580515 19671231 999999 43273 OSAN KS RKSN 37.033 126.75 11.9 19630228 19671229 999999 43309 IRUMA JA RJTJ 35.833 139.417 93.9 19481231 19601231 999999 43313 FUSSA JA RJTY 35.75 139.35 139.0 19481231 19680331 999999 43316 BRADY JA RKBD 33.633 130.5 14.0 19500916 19550605 999999 43317 YUKUHASHI JA RJFZ 33.667 131.033 11.9 19500811 19570630 999999 43318 NIIGATA JA RJSN 37.95 139.11700000000002 4.0 19510228 19570630 999999 43320 OPPAMA JA 35.317 139.65 7.9 19510630 19600624 999999 43321 KISARAZU JA RJTK 35.383 139.917 6.1 19520725 19590331 999999 43322 IWAKUNI JA RIWA 34.15 132.233 3.0 19521031 19540915 999999 43323 YOKOSUKA JA RJTX 35.283 139.667 53.0 19530228 19761231 999999 43324 IWAKUNI JA RJOI 34.15 132.233 3.0 19521031 19721231 999999 43325 KASTNER AAF JA RJTW 35.516999999999996 139.4 107.0 19541230 19701231 999999 44101 PEKING CH RPEK 40.0 116.5 50.9 19460430 19460630 999999 44301 KHABAROVSK RS EUHH 48.483000000000004 135.483 53.0 19450914 19451218 999999 45708 SHEMYA ISLAND US AK 52.717 174.1 39.9 19490101 19551201 999999 45709 ATTU NS US AK ATU 52.8 173.167 28.0 19470101 19580625 999999 45714 SHEMYA ISLAND US AK 52.717 174.1 34.1 19580628 19590901 999999 45715 SHEMYA AFB US AK PASY 52.717 -174.1 29.6 19590901 20041231 999999 53002 ARTESIA 2 WNW US NM 32.855 -104.45700000000001 1067.1 20100624 20140601 999999 53003 GRANTS 2 S US NM 35.119 -107.83 1963.8 20100828 20140601 999999 53004 BLUFF 32 NW US UT 37.601 -109.98899999999999 1959.3 20100813 20140601 999999 53005 BUENA VISTA 2 SSE US CO 38.811 -106.12200000000001 2418.0 20100717 20140601 999999 53006 AMADO 23 W US AZ 31.691999999999997 -111.448 1005.8 20100926 20140601 999999 53007 COLORADO SPRINGS 23 NW US CO 39.088 -105.088 2399.4 20100630 20140601 999999 53008 CLOVIS 7 N US NM 34.512 -103.17399999999999 1315.5 20091213 20140601 999999 53009 RAMAH 9 SE US NM 35.046 -108.36399999999999 2183.6 20100902 20140601 999999 53010 MONTICELLO 24 NW US UT 38.14 -109.617 1531.6 20100814 20140601 999999 53011 TSAILE 1 SSW US AZ 36.292 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TORREY 7 E US UT 38.303000000000004 -111.294 1891.0 20071002 20200625 999999 53150 YOSEMITE VILLAGE 12 W US CA 37.759 -119.821 2017.8 20070928 20200410 999999 53151 FALLBROOK 5 NE US CA 33.439 -117.19 347.5 20080430 20200625 999999 53152 SANTA BARBARA 11 W US CA 34.414 -119.88 5.5 20080814 20200625 999999 53154 YUMA 27 ENE US AZ 32.835 -114.18799999999999 189.0 20080319 20200625 999999 53155 WILLIAMS 35 NNW US AZ 35.755 -112.337 1825.8 20080626 20200625 999999 53156 PHOENIX 7 S US AZ 33.347 -112.083 427.9 20100301 20140601 999999 53159 CAMERON 25 SSE US AZ 35.504 -111.345 1465.2 20091215 20140601 999999 53160 CAMP VERDE 3 N US AZ 34.614000000000004 -111.84299999999999 1046.7 20100302 20140601 999999 53162 COOLIDGE 5 W US AZ 32.992 -111.53299999999999 434.3 20100227 20140601 999999 53163 SOCORRO 17 WSW US NM 33.98 -107.18700000000001 3196.1 20100625 20140601 999999 53164 PAGE 9 WSW US AZ 36.864000000000004 -111.601 991.8 20100803 20140601 999999 53165 DELTA 4 NE US UT 39.387 -112.51 1451.2 20100801 20140601 999999 53166 ST. GEORGE 15 NE US UT 37.216 -113.37899999999999 1041.5 20100805 20120927 999999 53167 MIDWAY 3 NE US UT 40.547 -111.414 1752.0 20100723 20140601 999999 53168 AJO 29 S US AZ 31.95 -112.801 506.3 20100927 20140601 999999 53169 KAYENTA 16 WSW US AZ 36.681999999999995 -110.542 2217.1 20100819 20140601 999999 53170 HEBER 3 SE US AZ 34.398 -110.566 2019.3 20091217 20140601 999999 53171 MILFORD 42 WNW US UT 38.594 -113.751 1601.7 20100802 20140601 999999 53172 LAKE HAVASU CITY 19 SE US AZ 34.253 -114.134 126.8 20100922 20140601 999999 53173 NAGEEZI 18 SSW US NM 36.035 -107.905 1965.7 20100901 20140601 999999 53176 GILA BEND 3 ENE US AZ 32.965 -112.67 237.7 20100924 20140601 999999 53843 ANDALUSIA-OPP MUNICIPAL AIRPORT US AL 31.309 -86.39399999999999 94.5 20040702 20051230 999999 53846 KINGS BAY/NAVAL STATION US GA 30.8 -81.5 15.2 19960702 20031231 999999 53848 NAVAL AUXILIARY LANDING FD US FL KNFJ 30.506999999999998 -86.96 33.8 19960702 20091231 999999 53854 ORANGEBURG MUNICIPAL AP US SC KOGB 33.461999999999996 -80.858 60.0 19970602 20051231 999999 53867 COLUMBIA OWENS DOWNTOWN AP US SC KCUB 33.971 -80.99600000000001 64.6 19981002 20051231 999999 53877 ASHEVILLE 8 SSW US NC 35.495 -82.61399999999999 655.6 20001120 20200625 999999 53878 ASHEVILLE 13 S US NC 35.419000000000004 -82.557 641.0 20001121 20200625 999999 53882 KNOXVILLE ISLAND AP US GA KBGE 30.983 -84.633 43.0 20020602 20051231 999999 53894 HERLONG AIRPORT US FL KHEG 30.278000000000002 -81.806 26.5 20020602 20050702 999999 53921 MOUNT IDA US AR KMWT 34.547 -93.57799999999999 214.0 19990302 20041231 999999 53926 STILLWATER 2 W US OK 36.118 -97.09100000000001 271.3 20020312 20200625 999999 53927 STILLWATER 5 WNW US OK 36.135 -97.10799999999999 270.7 20020312 20200625 999999 53960 LAFAYETTE 13 SE US LA 30.092 -91.87299999999999 10.7 20030111 20200625 999999 53961 MONROE 26 N US LA 32.883 -92.117 26.8 20030115 20200625 999999 53968 PALESTINE 6 WNW US TX 31.78 -95.723 116.7 20030525 20200625 999999 53974 MANHATTAN 6 SSW US KS 39.103 -96.61 346.6 20031001 20200625 999999 54701 PUERTO MONTT B CI -41.467 -72.817 11.0 19570103 19600429 999999 54781 W. H. MORSE STATE AIRPORT US VT KDDH 42.894 -73.249 240.8 19981202 20051231 999999 54794 DURHAM 2 N US NH 43.172 -70.928 36.3 20011216 20200625 999999 54795 DURHAM 2 SSW US NH 43.108999999999995 -70.94800000000001 19.2 20011216 20200625 999999 54796 KINGSTON 1 NW US RI 41.49100000000001 -71.541 35.1 20011216 20200625 999999 54797 KINGSTON 1 W US RI 41.478 -71.542 32.3 20011216 20200625 999999 54808 CHAMPAIGN 9 SW US IL 40.053000000000004 -88.37299999999999 213.4 20021220 20200625 999999 54810 CHATHAM 1 SE US MI 46.335 -86.92 266.7 20041110 20200625 999999 54811 SHABBONA 5 NNE US IL 41.843 -88.851 262.4 20030816 20200625 999999 54851 COSHOCTON 8 NNE US OH 40.367 -81.783 341.4 20061109 20160919 999999 54854 GAYLORD 9 SSW US MI 44.908 -84.72 445.3 20070919 20200625 999999 54856 WOOSTER 3 SSE US OH 40.764 -81.91 335.9 20161110 20200625 999999 54902 DES MOINES 17 E US IA 41.556000000000004 -93.286 280.7 20040915 20200625 999999 54903 NECEDAH 5 WNW US WI 44.06 -90.17399999999999 284.4 20041001 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999999 63838 VERSAILLES 3 NNW US KY 38.095 -84.74700000000001 271.6 20011120 20200625 999999 63839 FOLSOM FIELD AP US AL K3A1 34.269 -86.85799999999999 293.5 20040102 20051231 999999 63849 BOWLING GREEN 21 NNE US KY 37.25 -86.23299999999999 240.8 20040519 20200625 999999 63850 WATKINSVILLE 5 SSE US GA 33.784 -83.39 225.9 20040430 20200625 999999 63855 CROSSVILLE 7 NW US TN 36.014 -85.135 583.1 20041203 20200625 999999 63856 BRUNSWICK 23 S US GA 30.808000000000003 -81.46 7.6 20041215 20200625 999999 63857 GADSDEN 19 N US AL 34.285 -85.962 351.1 20050414 20200625 999999 63858 SELMA 13 WNW US AL 32.457 -87.242 58.8 20050526 20200625 999999 63862 VALLEY HEAD 1 SSW US AL 34.565 -85.617 310.9 20060504 20200625 999999 63866 GUNTERSVILLE 2 SW US AL 34.334 -86.316 189.0 20060504 20131216 999999 63867 CULLMAN 3 ENE US AL 34.195 -86.796 243.8 20060504 20200625 999999 63868 COURTLAND 2 WSW US AL 34.66 -87.346 175.3 20060504 20200625 999999 63869 FAIRHOPE 3 NE US AL 30.549 -87.876 29.0 20060713 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44.233000000000004 -79.781 246.0 20040715 20200625 999999 64758 ITHACA 13 E US NY 42.44 -76.24600000000001 374.3 20041027 20200625 999999 67601 LITTLE AMERICA AY -78.2 -162.25 32.0 19560202 19590101 999999 68201 BYRD STATION AY -80.017 -119.53299999999999 1542.9 19570110 19721231 999999 68601 BEARDMORE CAMP AY -85.03299999999999 -164.667 230.1 19561231 19591231 999999 68701 BROCKTON STATION AY -80.017 -178.417 100.9 19651231 19720127 999999 70701 DIEGO GARCIA NAF IO PC FJDG -7.3 72.4 2.7 19710719 19721231 999999 73801 NORTHPORT 2 S US AL 33.213 -87.59100000000001 45.7 20090521 20200625 999999 73802 HIGHLAND HOME 2 S US AL 31.916 -86.31200000000001 187.2 20081202 20200625 999999 73803 TALLADEGA 10 NNE US AL 33.571999999999996 -86.057 160.0 20081203 20200625 999999 73805 NORTHWEST FLORIDA BEACHES INTL ARPT US FL KECP 30.349 -85.788 21.0 20100501 20110301 999999 77401 PLATEAU STATION AY -79.467 40.583 3504.9 19651214 19681231 999999 80309 BIAK ISLAND NF ID -1.2670000000000001 136.38299999999998 0.9 19450531 19450930 999999 80430 EMIRAU NF PP -1.683 149.967 0.9 19450430 19450731 999999 80431 MANUS ISLAND NF PP -2.017 147.433 43.9 19451231 19470131 999999 80705 FUNAFUTI NF TV NGFU -8.533 179.217 2.1 19450731 19450930 999999 82101 NORTHWEST CAPE AS -22.333000000000002 114.05 38.1 19680305 19680430 999999 86101 WILKES AY -66.267 110.56700000000001 11.9 19570303 19631231 999999 86102 WILKES ICE CAP STATI AY -66.467 112.28299999999999 19580320 19581027 999999 87601 MCMURDO SOUND NAF AY NZCM -77.883 166.733 24.1 19560309 19841231 999999 87602 MARBLE POINT AY -77.417 163.683 47.9 19571218 19590128 999999 87603 HUT POINT AY -77.883 166.733 25.9 19621004 19621231 999999 87701 ADARE HALLETT AY -72.3 170.217 4.9 19570131 19730215 999999 88701 LIV AY -83.28299999999999 175.75 182.9 19571109 19571130 999999 88702 BEARDMORE CAMP AY -83.4 174.75 59.1 19601108 19640227 999999 88703 LITTLE JEANA STATION AY -81.383 170.75 53.9 19641004 19660123 999999 91002 FLETCHER ICE ISLAND T-3 (ARCTIC) US 6.0 19660613 19710419 999999 91004 ICE SKATE B IC 80.0 -113.0 19610105 19611025 999999 92802 TAMPA BAY EXECUTIVE US FL KRRF 28.188000000000002 -82.626 12.5 19960702 20041231 999999 92811 LIFEGUARD OFFICE US FL 25.805999999999997 -80.133 2.4 20050101 20120201 999999 92821 TITUSVILLE 7 E US FL 28.616 -80.693 0.9 20050506 20200625 999999 92826 EVERGLADES CITY 5 NE US FL 25.9 -81.318 1.2 20070210 20200625 999999 92827 SEBRING 23 SSE US FL 27.153000000000002 -81.369 45.7 20071208 20200625 999999 93026 DOUGLAS MUNICIPAL AP US AZ KDUG 31.458000000000002 -109.60600000000001 1250.0 19481101 19550101 999999 93032 DENVER NAS US CO 39.7 -104.75 1695.9 19471001 19590310 999999 93035 MARFA US TX KMRF 30.371 -104.01700000000001 1478.0 19480705 19550101 999999 93037 COLORADO SPRINGS PETERSON FIE US CO KCOS 38.81 -104.68799999999999 1880.6 19650101 19721231 999999 93041 LAS CRUCES MUNICIPAL AP US NM KLRU 32.283 -106.917 1358.2 20020902 20051231 999999 93042 DALHART MUNICIPAL AP US TX KDHT 36.016999999999996 -102.55 1217.4 19481210 19550101 999999 93044 ZUNI US NM ZUN 35.067 -108.833 1923.3 19490217 19721231 999999 93045 TRUTH OR CONSEQUENCES MUNI AP US NM KTCS 33.236999999999995 -107.26799999999999 1480.7 19500526 19721231 999999 93057 GRANTS MILAN MUNICIPAL AP US NM KGNT 35.166 -107.899 1987.3 19540101 19550101 999999 93063 SILVER CITY GRANT CO US NM KSVC 32.633 -108.167 1659.9 19600502 19680830 999999 93092 NWS AWRS US NM 36.9 -106.583 2393.0 20020902 20051231 999999 93101 EL TORO MCAS US CA KNZJ 33.667 -117.73299999999999 116.7 19450301 20001101 999999 93102 FALLON NAAS US NV KNFL 39.417 -118.71700000000001 1199.1 19450301 19721231 999999 93104 CHINA LAKE NAF US CA KNID 35.688 -117.693 695.9 19450401 19721201 999999 93105 LITCHFIELD PARK NAF US AZ 33.433 -112.367 292.0 19480401 19660929 999999 93106 LOS ALAMITOS US CA KSLI 33.783 -118.05 11.0 19450401 19710731 999999 93107 SAN DIEGO MIRAMAR NAS US CA KNKX 32.867 -117.133 145.7 19470701 19881231 999999 93108 MOJAVE MCAS US CA 35.117 -118.15 841.9 19450401 19470101 999999 93111 POINT MUGU NF US CA KNTD 34.117 -119.117 3.7 19460301 19721231 999999 93113 SAN PEDRO NAS US CA 33.75 -118.25 13.1 19450301 19470601 999999 93114 MARINE CORPS AIR STATION US CA KNTK 33.7 -117.833 17.1 19450301 19751231 999999 93115 IMPERIAL BEACH REAM FIELD NAS US CA KNRS 32.567 -117.117 7.0 19450501 19721231 999999 93116 SAN NICHOLAS ISLAND US CA KNSI 33.25 -119.45 153.6 19450401 19721201 999999 93118 SALTON SEA NAAF US CA 33.2 -115.833 -68.9 19450401 19451101 999999 93120 THERMAL NAF US CA 33.617 -116.167 -36.0 19450401 19450801 999999 93121 TWENTY NINE PALMS US CA KNXP 34.3 -116.167 625.1 19450501 19451031 999999 93123 FALLON CAA AP US NV 39.417 -118.71700000000001 1200.0 19481101 19550101 999999 93124 SANTA BARBARA MCAS US CA 34.433 -119.85 4.0 19450401 19460301 999999 93129 CEDAR CITY MUNICIPAL AP US UT KCDC 37.709 -113.094 1712.4 19481101 19721231 999999 93132 GREEN RIVER US UT 39.0 -110.15 1241.2 20050609 20051221 999999 93134 LOS ANGELES DOWNTOWN USC CAMP US CA KCQT 34.024 -118.291 56.4 19990701 19991231 999999 93136 MOUNT WILSON US CA KMWS 34.233000000000004 -118.06700000000001 1738.9 19490101 19491231 999999 93139 PAYSON US AZ 0E4 34.233000000000004 -111.333 1498.1 19480701 19520526 999999 93184 SANTA ANA US CA KSNA 33.68 -117.866 16.8 19680101 19721231 999999 93193 FRESNO YOSEMITE INTL AP US CA KFAT 36.78 -119.719 99.7 19650101 19711231 999999 93198 ST GEORGE INTERM FLD US UT 37.05 -113.51700000000001 882.7 19481101 19550101 999999 93209 PASO ROBLES MUNICIPAL ARPT US CA KPRB 35.67 -120.62799999999999 249.0 19530101 19650101 999999 93211 OAKLAND NAS US CA NBJ 37.733000000000004 -122.2 2.1 19490601 19541031 999999 93215 POINT ARGUELLO AFWB US CA 34.667 -120.583 111.9 19590701 19650401 999999 93216 BEALE AFB US CA KBAB 39.133 -121.43299999999999 34.4 19710101 19710101 999999 93217 FRITZSCHE AAF US CA KOAR 36.683 -121.76700000000001 43.9 19710101 19710101 999999 93226 PT POEDRAS BLANCA US CA K87Q 35.666 -121.285 18.0 19980202 19981231 999999 93243 MERCED 23 WSW US CA 37.238 -120.883 23.8 20040325 20200625 999999 93245 BODEGA 6 WSW US CA 38.321 -123.075 19.2 20080614 20200625 999999 93718 NORTH MYRTLE BEACH AIRPORT US SC KCRE 33.812 -78.72399999999999 10.1 19490101 19561123 999999 93719 NEW BERN CRAVEN CO REGL AP US NC KEWN 35.068000000000005 -77.048 7.3 19490101 19550101 999999 93720 SALISBURY WICOMICO CO AP US MD KSBY 38.341 -75.51 18.3 19490101 19721231 999999 93721 BALTIMORE BLT-WASHNG US MD KBWI 39.167 -76.683 47.2 19650101 19721231 999999 93726 KINSTON STALLINGS AFB US NC KISO 35.317 -77.633 28.7 19541101 19570731 999999 93727 NEW RIVER MCAS US NC KNCA 34.7 -77.383 7.6 19550103 19721231 999999 93729 HATTERAS BILLY MITCHELL AP US NC KHSE 35.233000000000004 -75.622 3.4 19570301 19721231 999999 93730 ATLANTIC CITY INTL A US NJ KACY 39.449 -74.567 20.4 19650101 19740228 999999 93731 NORFOLK FLEET WF NAS US VA 36.95 -76.3 10.1 19580501 19620801 999999 93732 NEW YORK SHOALS AFS US NY 39.8 -72.667 25.9 19581001 19601116 999999 93734 STERLING US VA 38.983000000000004 -77.467 85.0 19620701 19651019 999999 93735 FORT EUSTIS FELKER AAF US VA KFAF 37.133 -76.6 3.7 19710101 19710101 999999 93736 CHARLOTTESVILLE FAA US VA KCHO 38.139 -78.453 196.3 19610420 19650101 999999 93737 FORT BRAGG SIMMONS AAF US NC KFBG 35.133 -78.933 73.8 19710101 19710101 999999 93738 WASHINGTON DULLES INTERNATIONAL AP US DC KIAD 38.941 -77.464 98.5 19621117 19721231 999999 93739 WALLOPS ISLAND UAU US VA KWAL 37.937 -75.471 14.6 19661001 19721231 999999 93743 BOGUE FIELD MCAF US NC KNJM 34.683 -77.033 6.7 19801001 19810101 999999 93776 CHERRY POINT/MCAS ASOS 2 US NC KNIS 34.883 -76.867 9.1 19960702 20160130 999999 93801 ROME R B RUSSELL AP US GA KRMG 34.348 -85.161 196.3 19480101 19771222 999999 93803 SMITHVILLE CAA AP US TN 35.967 -85.78299999999999 328.9 19490101 19540415 999999 93804 SPARTANBURG US SC SPA 34.917 -81.95 244.1 19480101 20200626 999999 93805 TALLAHASSEE DALE MABRY FIELD US FL KTLH 30.393 -84.353 20.7 19480101 19721231 999999 93806 TUSCALOOSA MUNICIPAL AP US AL KTCL 33.211999999999996 -87.616 56.7 19490101 19550101 999999 93807 WINSTON-SALEM REYNOLDS AP US NC KINT 36.134 -80.222 295.7 19480101 19650301 999999 93808 BOWLING GREEN WARREN CO AP US KY KBWG 36.965 -86.42399999999999 163.7 19480101 19550101 999999 93810 CARBONDALE SOUTHERN ILLINOIS A US IL KMDH 37.78 -89.25 126.8 19971202 20051231 999999 93814 CINCINNATI GREATER CINCINNATI US KY KCVG 39.043 -84.67200000000001 269.1 19480101 19721231 999999 93815 DAYTON MUNICIPAL ARPT US OH KDAY 39.906 -84.219 305.7 19480101 19721231 999999 93816 EFFINGHAM COUNTY MEMORIAL ARPT US IL 39.07 -88.53299999999999 178.9 19481201 20200625 999999 93817 EVANSVILLE DRESS REGIONAL ARP US IN KEVV 38.044000000000004 -87.521 118.3 19480101 19721231 999999 93818 CHESAPEAKE HUNTINGTON AP US OH 38.417 -82.5 170.7 19480101 19610104 999999 93819 INDIANAPOLIS WEIR COOK MUNICI US IN KIND 39.732 -86.279 246.3 19480101 19721231 999999 93820 LEXINGTON BLUEGRASS FIELD US KY KLEX 38.041 -84.60600000000001 301.4 19480101 19721231 999999 93821 LOUISVILLE STANDIFORD FIELD US KY KSDF 38.181 -85.73899999999999 148.7 19480101 19721231 999999 93822 SPRINGFIELD CAPITAL AP US IL KSPI 39.845 -89.684 186.8 19480101 19721231 999999 93823 TERRE HAUTE HULMAN FIELD US IN KHUF 39.45 -87.3 17.5 19550101 19550101 999999 93824 ZANESVILLE MUNICIPAL AP US OH KZZV 39.944 -81.892 274.9 19481201 19550101 999999 93825 ADVANCE 1 S US MO 37.1 -89.9 109.7 19480101 19491201 999999 93826 BARIN FIELD NAAS US AL NHX 30.4 -87.6 21.9 19450201 19580912 999999 93828 PENSACOLA CORRY FLD NAAS US FL NQS 30.4 -87.28299999999999 11.0 19480601 19580523 999999 93829 PENSACOLA CHEVALIER FLD NAS US FL CVD 30.35 -87.26700000000001 21.0 19450201 19550601 999999 93830 ATLANTA NAS US GA NCQ 33.867 -84.3 302.1 19450201 19590225 999999 93831 BEAUFORT NAS US SC KNBC 32.483000000000004 -80.717 11.6 19720101 19721231 999999 93832 CECIL FIELD NAS US FL KNZC 30.217 -81.883 25.3 19470301 20001101 999999 93833 COLUMBIA CONGAREE FLD MCAF US SC KMMT 33.917 -80.8 74.1 19450301 19451001 999999 93834 COLUMBUS NAS US OH 39.983000000000004 -82.883 249.0 19490301 19550529 999999 93836 BRUNSWICK GLYNN CO A US GA NEA 31.25 -81.467 9.1 19450201 19740731 999999 93837 JACKSONVILLE NAS US FL KNIP 30.233 -81.667 6.7 19450101 19721231 999999 93839 MEMPHIS NAS US TN KNQA 35.35 -89.867 97.5 19450301 20041231 999999 93840 ST SIMONS ISLAND NAS US GA 31.166999999999998 -81.4 3.0 19450501 19470420 999999 93841 WHITING FIELD NAS US FL KNSE 30.717 -87.01700000000001 61.0 19450201 19721231 999999 93842 COLUMBUS MUSCOGEE COUNTY ARPT US GA KCSG 32.516 -84.94200000000001 120.1 19530101 19711231 999999 93843 DOTHAN MUNICIPAL AP US AL KDHN 31.233 -85.43299999999999 97.8 19490101 19550101 999999 93844 PARRIS ISLAND MCAS US SC 32.317 -80.683 10.1 19450401 19460215 999999 93845 VALDOSTA WB AIRPORT US GA KVLD 30.783 -83.277 60.4 19720101 19721231 999999 93846 ANDERSON COUNTY AP US SC KAND 34.498000000000005 -82.71 235.6 19490101 19590101 999999 93901 DALLAS HENSLEY FIELD NAS US TX KNBE 32.733000000000004 -96.96700000000001 150.9 19450301 20041231 999999 93902 DURANT US OK KDUA 33.95 -96.4 213.0 19450201 19450831 999999 93903 FORT WORTH EAGLE MT LK MCAS US TX 32.983000000000004 -97.48299999999999 232.0 19450401 19460401 999999 93904 FORT WORTH MEACHAM US TX KFTW 32.819 -97.361 215.2 19450301 19451130 999999 93905 HUTCHINSON NAS US KS 37.917 -97.9 479.1 19450201 19580501 999999 93906 NEW ORLEANS NAS US LA 30.033 -90.083 4.0 19490101 19571231 999999 93907 NEWPORT MCAF US AR 35.633 -91.18299999999999 74.1 19450301 19451206 999999 93908 NORMAN NAS US OK 35.233000000000004 -97.417 359.1 19460101 19460220 999999 93909 OLATHE JOHNSON CO INDUSTRIAL US KS KIXD 38.832 -94.89 331.3 19450301 19700201 999999 93910 ST LOUIS LAMBERT US MO 38.75 -90.383 166.1 19450301 19460801 999999 93915 ALEXANDRIA INTL AIRPORT US LA KAEX 31.335 -92.559 24.4 19990702 20051231 999999 93919 MCCOMB PIKE COUNTY AP US MS KMCB 31.183000000000003 -90.471 128.6 19481201 19550101 999999 93947 GILLESPIE COUNTY AIRPORT US TX 30.243000000000002 -98.91 516.6 20020602 20051231 999999 93983 PALESTINE US TX KPSN 31.78 -95.706 128.9 20040102 20051231 999999 93986 HOBART MUNICIPAL AP US OK KHBR 34.989000000000004 -99.053 478.5 19480807 19550101 999999 93987 LUFKIN ANGELINA CO US TX KLFK 31.236 -94.75399999999999 96.3 19480801 19721231 999999 93988 PINE BLUFF US AR KPBF 34.175 -91.935 65.2 19481001 19550101 999999 93989 QUINCY MUNI BALDWIN FLD US IL KUIN 39.937 -91.19200000000001 233.5 19481201 19550101 999999 93990 HILL CITY MUNICIPAL AP US KS KHLC 39.376 -99.83 677.0 19490101 19550101 999999 93991 WALNUT RIDGE MUNICIPAL ARPT US AR KARG 36.125 -90.92399999999999 83.2 19490401 20041231 999999 93992 EL DORADO GOODWIN FIELD US AR KELD 33.221 -92.814 86.9 19490706 19550101 999999 93993 FAYETTEVILLE DRAKE FIELD US AR KFYV 36.01 -94.169 383.7 19490714 19680101 999999 93995 BUTLER FAA AP US MO 38.3 -94.333 264.9 19500101 19550101 999999 93996 FARMINGTON US MO KFAM 37.760999999999996 -90.428 288.6 19500101 19550101 999999 93997 RUSSELL MUNICIPAL AP US KS KRSL 38.876 -98.809 567.8 19500101 19721231 999999 93999 VICKSBURG US MS KVKS 32.233000000000004 -90.93299999999999 3.2 19500601 19501001 999999 94008 GLASGOW INTL ARPT US MT KGGW 48.214 -106.62100000000001 699.2 19551001 19721231 999999 94010 ST MARIE US MT 48.417 -106.53299999999999 838.2 19581001 19680628 999999 94012 HAVRE CITY-COUNTY AP US MT KHVR 48.543 -109.76299999999999 792.2 19610201 19721231 999999 94014 WILLISTON SLOULIN FIELD INTL US ND KISN 48.174 -103.637 580.6 19620101 19721231 999999 94041 GARRISON US ND 47.646 -101.439 582.2 19980502 20051231 999999 94059 WOLF POINT 34 NE US MT 48.489 -105.21 805.6 20011220 20200625 999999 94060 WOLF POINT 29 ENE US MT 48.308 -105.102 635.5 20011220 20200625 999999 94070 TRENTON MUNICIPAL AIRPORT US NE K9V2 40.187 -101.025 852.2 20021102 20041231 999999 94074 NUNN 7 NNE US CO 40.806999999999995 -104.755 1642.9 20030706 20200625 999999 94075 BOULDER 14 W US CO 40.035 -105.541 2995.6 20030927 20200625 999999 94077 HARRISON 20 SSE US NE 42.425 -103.736 1343.0 20030827 20200625 999999 94078 LANDER 11 SSE US WY 42.675 -108.669 1759.6 20040703 20200625 999999 94079 WHITMAN 5 ENE US NE 42.068000000000005 -101.445 1140.0 20040912 20200625 999999 94080 MEDORA 7 E US ND 46.895 -103.37700000000001 844.6 20040918 20200625 999999 94081 BUFFALO 13 ESE US SD 45.516000000000005 -103.302 878.7 20040922 20200625 999999 94082 DINOSAUR 2 E US CO 40.245 -108.96799999999999 1847.7 20040721 20200625 999999 94084 NORTHGATE 5 ESE US ND 48.968 -102.17 561.4 20061017 20200625 999999 94085 PIERRE 24 S US SD 44.019 -100.353 647.4 20061024 20200625 999999 94088 SUNDANCE 8 NNW US WY 44.516999999999996 -104.436 1765.4 20070822 20200625 999999 94092 AKRON A 4 E US CO 40.155 -103.14200000000001 1384.4 20090615 20140601 999999 94094 MEEKER 15 W US CO 40.082 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Individual Opening, mm (designation, + X opening) Compliance Sieves, sample x openings per 100 ft^2 Compliance Sieves, maximum standard deviation Inspection Sieves, sample openings per sieve Inspection Sieves, maximum standard deviation Calibration Sieves, sample openings per sieve Calibration Sieves, Maximum Standard Deviation Typical Wire diameter, mm Wire diameter, min, mm Wire diameter, max, mm 125 5 in. 5 3.66 4.51 129.51 20 – all – all – 8 6.8 9.2 106 4.24 in. 4.24 3.12 3.99 109.99 20 – all – all – 6.3 5.4 7.2 100 4 in. 4 2.94 3.82 103.82 20 – all – all – 6.3 5.4 7.2 90 3 1/2 in. 3.5 2.65 3.53 93.53 20 – all – all – 6.3 5.4 7.2 75 3 in. 3 2.22 3.09 78.09 20 – all – all – 6.3 5.4 7.2 63 2 1/2 in. 2.5 1.87 2.71 65.71 20 – all – all – 5.6 4.8 6.4 53 2.12 in. 2.12 1.58 2.39 55.39 20 – all – all – 5 4.3 5.8 50 2 in. 2 1.49 2.29 52.29 20 – all – all – 5 4.3 5.8 45 1 3/4 in. 1.75 1.35 2.12 47.12 20 – all – all – 4.5 3.8 5.2 37.5 1 1/2 in. 1.5 1.13 1.85 39.35 20 1.374 all – all – 4.5 3.8 5.2 31.5 1 1/4 in. 1.25 0.95 1.63 33.13 20 1.066 all – all – 4 3.4 4.6 26.5 1.06 in. 1.06 0.802 1.44 27.94 20 0.869 15 0.584 all – 3.55 3 4.1 25 1.00 in. 1 0.758 1.38 26.38 20 0.823 15 0.553 all – 3.55 3 4.1 22.4 7/8 in. 0.875 0.681 1.27 23.67 150 0.734 15 0.493 all – 3.55 3 4.1 19 3/4 in. 0.75 0.579 1.13 20.13 150 0.622 15 0.418 30 0.446 3.15 2.7 3.5 16 5/8 in. 0.625 0.49 0.99 16.99 150 0.527 15 0.354 30 0.378 3.15 2.7 3.6 13.2 0.530 in. 0.53 0.406 0.86 14.06 150 0.441 15 0.296 30 0.316 2.8 2.4 3.2 12.5 1/2 in. 0.5 0.385 0.83 13.33 150 0.421 15 0.283 30 0.302 2.5 2.1 2.9 11.2 7/16 in. 0.438 0.346 0.77 11.97 150 0.382 15 0.256 30 0.274 2.5 2.1 2.9 9.5 3/8 in. 0.375 0.295 0.68 10.18 150 0.33 15 0.222 30 0.237 2.24 1.9 2.6 8 5/16 in. 0.312 0.249 0.6 8.6 150 0.284 15 0.191 30 0.204 2 1.7 2.3 6.7 0.265 in. 0.265 0.21 0.53 7.23 150 0.245 15 0.164 30 0.175 1.8 1.5 2.1 6.3 1/4 in. 0.25 0.197 0.51 6.81 150 0.233 15 0.157 30 0.167 1.8 1.5 2.1 5.6 No. 3 1/2 0.223 0.176 0.47 6.07 150 0.211 15 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2.6193,2.7069 2.9758,2.8466 3.3809,2.9769 3.5836,3.0485 x,.55 0.099944,2.4353 0.112936,2.4391 0.129761,2.4395 0.149093,2.4399 0.171306,2.4403 0.19683,2.4407 0.20125,2.4408 0.23123,2.4412 0.26275,2.4416 0.30189,2.4556 0.34686,2.456 0.40299,2.4565 0.46302,2.4706 0.53199,2.4849 0.59781,2.4991 0.68686,2.5135 0.78917,2.528 0.89671,2.5425 1.00766,2.5429 1.15137,2.5433 1.32284,2.5866 1.51141,2.6307 1.72684,2.6904 1.9729,2.767 2.0061,2.767 2.2919,2.8616 2.604,2.976 2.8616,3.0562 fluids-1.0.22/fluids/mixing.pyi0000644000175000017500000000163014302004506015706 0ustar nileshnilesh# DO NOT EDIT - AUTOMATICALLY GENERATED BY tests/make_test_stubs.py! from __future__ import annotations from typing import List from typing import ( Optional, Union, ) def COV_motionless_mixer(Ki: float, Q1: float, Q2: float, pipe_diameters: float) -> float: ... def K_motionless_mixer(K: float, L: float, D: float, fd: float) -> float: ... def Kp_helical_ribbon_Rieger(D: float, h: float, nb: int, pitch: float, width: float, T: float) -> float: ... def adjust_homogeneity(fraction: float) -> float: ... def agitator_time_homogeneous( N: float, P: float, T: float, H: float, mu: float, rho: float, D: Optional[float] = ..., homogeneity: float = ... ) -> float: ... def size_tee(Q1: float, Q2: float, D: float, D2: None, n: int = ..., pipe_diameters: float = ...) -> float: ... def time_helical_ribbon_Grenville(Kp: float, N: float) -> float: ... __all__: List[str]fluids-1.0.22/fluids/drag.pyi0000644000175000017500000000347614302004506015342 0ustar nileshnilesh# DO NOT EDIT - AUTOMATICALLY GENERATED BY tests/make_test_stubs.py! from __future__ import annotations from typing import List from typing import ( List, Optional, Tuple, Union, ) def Almedeij(Re: float) -> float: ... def Barati(Re: float) -> float: ... def Barati_high(Re: float) -> float: ... def Ceylan(Re: float) -> float: ... def Cheng(Re: float) -> float: ... def Clift(Re: float) -> float: ... def Clift_Gauvin(Re: float) -> float: ... def Engelund_Hansen(Re: float) -> float: ... def Flemmer_Banks(Re: float) -> float: ... def Graf(Re: float) -> float: ... def Haider_Levenspiel(Re: float) -> float: ... def Khan_Richardson(Re: float) -> float: ... def Mikhailov_Freire(Re: float) -> float: ... def Morrison(Re: float) -> float: ... def Morsi_Alexander(Re: float) -> float: ... def Rouse(Re: float) -> float: ... def Song_Xu(Re: float, sphericity: float = ..., S: float = ...) -> float: ... def Stokes(Re: float) -> float: ... def Swamee_Ojha(Re: float) -> float: ... def Terfous(Re: float) -> float: ... def Yen(Re: float) -> float: ... def _v_terminal_err(V: float, Method: Optional[str], Re_almost: float, main: float) -> float: ... def drag_sphere(Re: float, Method: Optional[str] = ...) -> float: ... def drag_sphere_methods(Re: float, check_ranges: bool = ...) -> List[str]: ... def integrate_drag_sphere( D: float, rhop: float, rho: float, mu: float, t: float, V: float = ..., Method: Optional[str] = ..., distance: bool = ... ) -> Union[Tuple[float, float], float]: ... def time_v_terminal_Stokes( D: float, rhop: float, rho: float, mu: float, V0: float, tol: float = ... ) -> float: ... def v_terminal(D: float, rhop: float, rho: float, mu: float, Method: Optional[str] = ...) -> float: ... __all__: List[str]fluids-1.0.22/fluids/fittings.pyi0000644000175000017500000001542614302004506016252 0ustar nileshnilesh# DO NOT EDIT - AUTOMATICALLY GENERATED BY tests/make_test_stubs.py! from __future__ import annotations from typing import List from typing import ( List, Optional, Union, ) def Cv_to_K(Cv: float, D: float) -> float: ... def Cv_to_Kv(Cv: float) -> float: ... def Darby3K( NPS: Optional[float] = ..., Re: Optional[float] = ..., name: Optional[str] = ..., K1: Optional[float] = ..., Ki: Optional[float] = ..., Kd: Optional[float] = ..., Di: None = ... ) -> float: ... def Hooper2K( Di: float, Re: float, name: Optional[str] = ..., K1: Optional[float] = ..., Kinfty: Optional[float] = ... ) -> float: ... def K_angle_stop_check_valve_Crane(D1: float, D2: float, fd: Optional[float] = ..., style: int = ...) -> float: ... def K_angle_valve_Crane(D1: float, D2: float, fd: Optional[float] = ..., style: int = ...) -> float: ... def K_ball_valve_Crane(D1: float, D2: float, angle: float, fd: Optional[float] = ...) -> float: ... def K_branch_converging_Crane( D_run: float, D_branch: float, Q_run: float, Q_branch: float, angle: float = ... ) -> float: ... def K_branch_diverging_Crane( D_run: float, D_branch: float, Q_run: float, Q_branch: float, angle: float = ... ) -> float: ... def K_butterfly_valve_Crane(D: float, fd: Optional[float] = ..., style: int = ...) -> float: ... def K_diaphragm_valve_Crane(D: Optional[float] = ..., fd: Optional[float] = ..., style: int = ...) -> float: ... def K_foot_valve_Crane(D: Optional[float] = ..., fd: Optional[float] = ..., style: int = ...) -> float: ... def K_gate_valve_Crane(D1: float, D2: float, angle: float, fd: Optional[float] = ...) -> float: ... def K_globe_stop_check_valve_Crane(D1: float, D2: float, fd: Optional[float] = ..., style: int = ...) -> float: ... def K_globe_valve_Crane(D1: float, D2: float, fd: Optional[float] = ...) -> float: ... def K_lift_check_valve_Crane(D1: float, D2: float, fd: Optional[float] = ..., angled: bool = ...) -> float: ... def K_plug_valve_Crane( D1: float, D2: float, angle: float, fd: Optional[float] = ..., style: int = ... ) -> float: ... def K_run_converging_Crane( D_run: float, D_branch: float, Q_run: float, Q_branch: float, angle: float = ... ) -> float: ... def K_run_diverging_Crane( D_run: float, D_branch: float, Q_run: float, Q_branch: float, angle: float = ... ) -> float: ... def K_swing_check_valve_Crane(D: Optional[float] = ..., fd: Optional[float] = ..., angled: bool = ...) -> float: ... def K_tilting_disk_check_valve_Crane(D: float, angle: float, fd: Optional[float] = ...) -> float: ... def K_to_Cv(K: float, D: float) -> float: ... def K_to_Kv(K: float, D: float) -> float: ... def Kv_to_Cv(Kv: float) -> float: ... def Kv_to_K(Kv: float, D: float) -> float: ... def Miller_bend_roughness_correction(Re: float, Di: float, roughness: float) -> float: ... def Miller_bend_unimpeded_correction(Kb: float, Di: float, L_unimpeded: float) -> float: ... def bend_miter( angle: float, Di: Optional[float] = ..., Re: Optional[float] = ..., roughness: float = ..., L_unimpeded: Optional[float] = ..., method: str = ... ) -> float: ... def bend_miter_Miller( Di: float, angle: float, Re: float, roughness: float = ..., L_unimpeded: Optional[float] = ... ) -> float: ... def bend_rounded( Di: float, angle: float, fd: Optional[float] = ..., rc: Optional[float] = ..., bend_diameters: Optional[float] = ..., Re: Optional[float] = ..., roughness: float = ..., L_unimpeded: None = ..., method: str = ... ) -> float: ... def bend_rounded_Crane( Di: float, angle: float, rc: Optional[float] = ..., bend_diameters: Optional[float] = ... ) -> float: ... def bend_rounded_Ito( Di: float, angle: int, Re: float, rc: Optional[float] = ..., bend_diameters: Optional[float] = ..., roughness: float = ... ) -> float: ... def bend_rounded_Miller( Di: float, angle: int, Re: float, rc: Optional[float] = ..., bend_diameters: Optional[float] = ..., roughness: float = ..., L_unimpeded: Optional[float] = ... ) -> float: ... def change_K_basis(K1: float, D1: float, D2: float) -> float: ... def contraction_beveled(Di1: float, Di2: float, l: Optional[float] = ..., angle: Optional[float] = ...) -> float: ... def contraction_conical( Di1: float, Di2: float, fd: Optional[float] = ..., l: Optional[float] = ..., angle: Optional[float] = ..., Re: Optional[float] = ..., roughness: float = ..., method: str = ... ) -> float: ... def contraction_conical_Crane( Di1: float, Di2: float, l: Optional[float] = ..., angle: Optional[float] = ... ) -> float: ... def contraction_round(Di1: float, Di2: float, rc: float, method: str = ...) -> float: ... def contraction_round_Miller(Di1: float, Di2: float, rc: float) -> float: ... def contraction_sharp( Di1: float, Di2: float, fd: Optional[float] = ..., Re: Optional[float] = ..., roughness: float = ..., method: str = ... ) -> float: ... def diffuser_conical( Di1: float, Di2: float, l: Optional[float] = ..., angle: Optional[float] = ..., fd: Optional[float] = ..., Re: Optional[float] = ..., roughness: float = ..., method: str = ... ) -> float: ... def diffuser_conical_staged( Di1: float, Di2: float, DEs: List[float], ls: List[float], fd: Optional[float] = ..., method: str = ... ) -> float: ... def diffuser_curved(Di1: float, Di2: float, l: float) -> float: ... def diffuser_pipe_reducer(Di1: float, Di2: float, l: float, fd1: float, fd2: Optional[float] = ...) -> float: ... def diffuser_sharp( Di1: float, Di2: float, Re: Optional[float] = ..., fd: Optional[float] = ..., roughness: float = ..., method: str = ... ) -> float: ... def entrance_angled(angle: float, method: str = ...) -> float: ... def entrance_beveled(Di: float, l: float, angle: float, method: str = ...) -> float: ... def entrance_beveled_orifice(Di: float, do: float, l: float, angle: float) -> float: ... def entrance_distance(Di: float, t: Optional[float] = ..., l: Optional[float] = ..., method: str = ...) -> float: ... def entrance_distance_45_Miller(Di: float, Di0: float) -> float: ... def entrance_rounded(Di: float, rc: float, method: str = ...) -> float: ... def entrance_sharp(method: str = ...) -> float: ... def exit_normal() -> float: ... def helix(Di: float, rs: float, pitch: float, N: int, fd: float) -> float: ... def spiral(Di: float, rmax: float, rmin: float, pitch: float, fd: float) -> float: ... def v_lift_valve_Crane(rho: float, D1: Optional[float] = ..., D2: Optional[float] = ..., style: str = ...) -> float: ... __all__: List[str]fluids-1.0.22/fluids/optional/0000755000175000017500000000000014302004506015515 5ustar nileshnileshfluids-1.0.22/fluids/optional/hwm93.for0000644000175000017500000037331314302004506017206 0ustar nileshnilesh SUBROUTINE GWS5(IYD,SEC,ALT,GLAT,GLONG,STL,F107A,F107,AP,W) C Horizontal wind model HWM93 covering all altitude regions C A. E. HEDIN (1/25/93) (4/9/93) C Calling argument list made similar to GTS5 subroutine for C MSIS-86 density model and GWS4 for thermospheric winds. C IYD - YEAR AND DAY AS YYDDD C SEC - UT(SEC) (Not important in lower atmosphere) C ALT - ALTITUDE(KM) C GLAT - GEODETIC LATITUDE(DEG) C GLONG - GEODETIC LONGITUDE(DEG) C STL - LOCAL APPARENT SOLAR TIME(HRS) C F107A - 3 MONTH AVERAGE OF F10.7 FLUX (Use 150 in lower atmos.) C F107 - DAILY F10.7 FLUX FOR PREVIOUS DAY ( " ) C AP - Two element array with C AP(1) = MAGNETIC INDEX(DAILY) (use 4 in lower atmos.) C AP(2)=CURRENT 3HR ap INDEX (used only when SW(9)=-1.) C Note: Ut, Local Time, and Longitude are used independently in the C model and are not of equal importance for every situation. C For the most physically realistic calculation these three C variables should be consistent. C OUTPUT C W(1) = MERIDIONAL (m/sec + Northward) C W(2) = ZONAL (m/sec + Eastward) C ADDITIONAL COMMENTS C TO TURN ON AND OFF PARTICULAR VARIATIONS CALL TSELEC(SW) C WHERE SW IS A 25 ELEMENT ARRAY CONTAINING 0. FOR OFF, 1. C FOR ON, OR 2. FOR MAIN EFFECTS OFF BUT CROSS TERMS ON C FOR THE FOLLOWING VARIATIONS C 1 - F10.7 EFFECT ON MEAN 2 - TIME INDEPENDENT C 3 - SYMMETRICAL ANNUAL 4 - SYMMETRICAL SEMIANNUAL C 5 - ASYMMETRICAL ANNUAL 6 - ASYMMETRICAL SEMIANNUAL C 7 - DIURNAL 8 - SEMIDIURNAL C 9 - DAILY AP 10 - ALL UT/LONG EFFECTS C 11 - LONGITUDINAL 12 - UT AND MIXED UT/LONG C 13 - MIXED AP/UT/LONG 14 - TERDIURNAL C 16 - ALL WINDF VAR 17 - ALL WZL VAR C 18 - ALL UN1 VAR 19 - ALL WDZL VAR C 24 - ALL B FIELDS (DIV) 25 - ALL C FIELDS (CURL) C C To get current values of SW: CALL TRETRV(SW) C C For example, to get zonal averages (no diurnal or C longitudinal variations) set SW(7),SW(8), SW(14), C and SW(10) equal to 0. To just remove tidal variations C set SW(7),SW(8), and SW(14) equal to 0. PARAMETER (MN1=5,MN2=14) DIMENSION AP(1),W(2),WINDF(2),WW(2),SV(25) DIMENSION WZL(2),WDZL(2) DIMENSION ZN1(MN1),UN1(MN1,2),UGN1(2,2) DIMENSION ZN2(MN2),UN2(MN2,2),UGN2(2,2) COMMON/PARMW5/PWB(200),PWC(200),PWBL(150),PWCL(150),PWBLD(150), $ PWCLD(150),PB12(150),PC12(150),PB13(150),PC13(150), $ PB14(150),PC14(150),PB15(150),PC15(150), $ PB15D(150),PC15D(150),PWP(100,26) COMMON/CSW/SW(25),ISW,SWC(25) COMMON/HWMC/WBT(2),WCT(2) COMMON/DATW/ISD(3),IST(2),NAM(2) COMMON/DATIME/ISDATE(3),ISTIME(2),NAME(2) SAVE EXTERNAL INITW5,GWSBK5 DATA S/.016/,ZL/200./,SV/25*1./,NNN/3/,MN2S/1/,MN2M/1/ DATA ZN1/200.,150.,130.,115.,100./ DATA ZN2/100.,90.,82.5,75.,67.5,60.,52.5,45.,37.5,30.,22.5, $ 15.,7.5,0/ C Put identification data into common/datime/ DO 1 I=1,3 ISDATE(I)=ISD(I) 1 CONTINUE DO 2 I=1,2 ISTIME(I)=IST(I) NAME(I)=NAM(I) 2 CONTINUE IF(ISW.NE.64999) CALL TSELEC(SV) YRD=IYD WW(1)=W(1) WW(2)=W(2) C IF(ALT.LE.ZN1(MN1)) GOTO 50 C C EXOSPHERE WIND CALL GLBW5E(YRD,SEC,GLAT,GLONG,STL,F107A,F107,AP,PWB,PWC,WINDF) WINDF(1)=SW(16)*WINDF(1) WINDF(2)=SW(16)*WINDF(2) C WIND AT ZL CALL GLBW5M(YRD,SEC,GLAT,GLONG,STL,F107A,F107,AP,PWBL,PWCL,WW) WZL(1)=(PWBL(1)*WINDF(1)+WW(1))*SW(17)*SW(18) WZL(2)=(PWBL(1)*WINDF(2)+WW(2))*SW(17)*SW(18) UN1(1,1)=WZL(1) UN1(1,2)=WZL(2) C WIND DERIVATIVE AT ZL WW(1)=0 WW(2)=0 CALL GLBW5M(YRD,SEC,GLAT,GLONG,STL,F107A,F107,AP,PWBLD,PWCLD,WW) WDZL(1)=(PWBLD(1)*WINDF(1)+WW(1))*SW(19)*SW(18) WDZL(2)=(PWBLD(1)*WINDF(2)+WW(2))*SW(19)*SW(18) UGN1(1,1)=WDZL(1)*S UGN1(1,2)=WDZL(2)*S C IF(ALT.GE.ZL) GOTO 90 C C WIND AT ZN1(2) (150) CALL GLBW5M(YRD,SEC,GLAT,GLONG,STL,F107A,F107,AP,PB12,PC12,WW) UN1(2,1)=(PB12(1)*WINDF(1)+WW(1))*SW(18) UN1(2,2)=(PB12(1)*WINDF(2)+WW(2))*SW(18) C WIND AT ZN1(3) (130) CALL GLBW5M(YRD,SEC,GLAT,GLONG,STL,F107A,F107,AP,PB13,PC13,WW) UN1(3,1)=WW(1)*SW(18) UN1(3,2)=WW(2)*SW(18) C WIND AT ZN1(4) (115) CALL GLBW5M(YRD,SEC,GLAT,GLONG,STL,F107A,F107,AP,PB14,PC14,WW) UN1(4,1)=WW(1)*SW(18) UN1(4,2)=WW(2)*SW(18) C 50 CONTINUE MNN=MAX(1,MIN(MN2,NNN+1)) IF(ALT.LT.ZN2(MNN)) GOTO 40 C C WIND AT ZN1(5) (100) CALL GLBW5M(YRD,SEC,GLAT,GLONG,STL,F107A,F107,AP,PB15,PC15,WW) UN1(5,1)=WW(1)*SW(18) UN1(5,2)=WW(2)*SW(18) C WIND DERIVATIVE AT ZN1(5) (100) CALL GLBW5M(YRD,SEC,GLAT,GLONG,STL,F107A,F107,AP,PB15D,PC15D,WW) UGN1(2,1)=WW(1)*SW(18) UGN1(2,2)=WW(2)*SW(18) C IF(ALT.GE.ZN1(MN1)) GOTO 90 C UGN2(1,1)=UGN1(2,1) UGN2(1,2)=UGN1(2,2) UN2(1,1)=UN1(5,1) UN2(1,2)=UN1(5,2) GOTO 45 40 CONTINUE UGN2(1,1)=1.E30 UGN2(1,2)=1.E30 UN2(1,1)=0 UN2(1,2)=0 45 CONTINUE C DO 10 I=1,MN2 IF(ALT.GT.ZN2(I)) GOTO 12 10 CONTINUE I=MN2 12 IZ=I MN2S=MAX(1,MIN(IZ-1,IZ-NNN)) MN2E=MIN(MN2,MAX(MN2S+1,IZ-1+NNN)) DO 20 I=MN2S,MN2E II=2*(I-2)+1 IF(I.GT.1) THEN CALL GLBW5S(IYD,GLAT,GLONG,STL,PWP(1,II),PWP(1,II+1),WW) UN2(I,1)=WW(1)*SW(20) UN2(I,2)=WW(2)*SW(20) ENDIF 20 CONTINUE MN2M=MN2E-MN2S+1 UGN2(2,1)=1.E30 UGN2(2,2)=1.E30 90 CONTINUE C WIND AT ALTITUDE IF(W(1).NE.9898) $ W(1)= WPROF(ALT,ZL,S,WINDF(1),WZL(1),WDZL(1), $ MN1,ZN1,UN1(1,1),UGN1(1,1),MN2M,ZN2(MN2S),UN2(MN2S,1),UGN2(1,1)) IF(W(2).NE.9898) $ W(2)= WPROF(ALT,ZL,S,WINDF(2),WZL(2),WDZL(2), $ MN1,ZN1,UN1(1,2),UGN1(1,2),MN2M,ZN2(MN2S),UN2(MN2S,2),UGN2(1,2)) RETURN C Set number of nodes calculated each side of required altitude C to adjust profile accuracy vs efficiency ENTRY SETNW5(NNW) NNN=NNW END C----------------------------------------------------------------------- FUNCTION WPROF(Z,ZL,S,UINF,ULB,ULBD,MN1,ZN1,UN1,UGN1, $ MN2,ZN2,UN2,UGN2) DIMENSION ZN1(MN1),UN1(MN1),UGN1(2),XS(15),YS(15),Y2OUT(15) DIMENSION ZN2(MN2),UN2(MN2),UGN2(2) SAVE IF(Z.GE.ZL) THEN X=S*(Z-ZL) F=EXP(-X) WPROF=UINF+(ULB-UINF)*F+(ULB-UINF+ULBD)*X*F RETURN ENDIF IF(Z.GE.ZN1(MN1).AND.Z.LT.ZN1(1)) THEN MN=MN1 Z1=ZN1(1) Z2=ZN1(MN) ZDIF=Z2-Z1 DO 10 K=1,MN XS(K)=(ZN1(K)-Z1)/ZDIF YS(K)=UN1(K) 10 CONTINUE YD1=UGN1(1)*ZDIF YD2=UGN1(2)*ZDIF CALL SPLINE(XS,YS,MN,YD1,YD2,Y2OUT) C Eq. X=(Z-Z1)/ZDIF C Eq. CALL SPLINT(XS,YS,Y2OUT,MN,X,Y) WPROF=Y RETURN ENDIF IF(Z.LT.ZN2(1)) THEN MN=MN2 Z1=ZN2(1) Z2=ZN2(MN) ZDIF=Z2-Z1 DO 20 K=1,MN XS(K)=(ZN2(K)-Z1)/ZDIF YS(K)=UN2(K) 20 CONTINUE YD1=UGN2(1) IF(UGN2(1).LT.1.E30) YD1=UGN2(1)*ZDIF YD2=UGN2(2) IF(UGN2(2).LT.1.E30) YD2=UGN2(2)*ZDIF CALL SPLINE(XS,YS,MN,YD1,YD2,Y2OUT) C Eq. X=(Z-Z1)/ZDIF C Eq. CALL SPLINT(XS,YS,Y2OUT,MN,X,Y) WPROF=Y RETURN ENDIF RETURN END C----------------------------------------------------------------------- SUBROUTINE GLBW5E(YRD,SEC,LAT,LONG,STL,F107A,F107,AP,PB,PC,WW) REAL LAT,LONG DIMENSION WB(2,15),WC(2,15),PB(1),PC(1),WW(2) DIMENSION AP(1) COMMON/CSW/SW(25),ISW,SWC(25) COMMON/HWMC/WBT(2),WCT(2) C COMMON/VPOLY/BT(20,20),BP(20,20),CSTL,SSTL,C2STL,S2STL, C $ C3STL,S3STL,IYR,DAY,DF,DFA,DFC,APD,APDF,APDFC,APT,SLT COMMON/VPOLY2/XVL,LVL,MVL,CLAT,SLAT,BT(20,20),BP(20,20) COMMON/LTCOMP/TLL,NSVL,CSTL,SSTL,C2STL,S2STL,C3STL,S3STL COMMON/LGCOMP/XLL,NGVL,CLONG,SLONG,C2LONG,S2LONG SAVE DATA DGTR/.017453/,SR/7.2722E-5/,HR/.2618/,DR/1.72142E-2/ DATA NSW/14/,WB/30*0/,WC/30*0/ DATA PB14/-1./,PB18/-1./ DATA SW9/1./,LV/12/,MV/3/,NSV/3/,NGV/2/,PSET/3./ G0(A)=(A-4.+(PB(26)-1.)*(A-4.+(EXP(-ABS(PB(25))*(A-4.))-1.)/ * ABS(PB(25)))) C CONFIRM PARAMETER SET IF(PB(100).EQ.0) PB(100)=PSET IF(PB(100).NE.PSET) THEN WRITE(6,900) PB(100),PC(100) 900 FORMAT(1X,'WRONG PARAMETER SET FOR GLBW5E',3F10.1) STOP ENDIF C DO 10 J=1,NSW WB(1,J)=0 WB(2,J)=0 WC(1,J)=0 WC(2,J)=0 10 CONTINUE IF(SW(9).GT.0) SW9=1. IF(SW(9).LT.0) SW9=-1. IYR = YRD/1000. DAY = YRD - IYR*1000. IF(XVL.NE.LAT.OR.LV.GT.LVL.OR.MV.GT.MVL) THEN SLAT=SIN(DGTR*LAT) CLAT=COS(DGTR*LAT) CALL VSPHR1(SLAT,CLAT,LV,MV,BT,BP,20) XVL=LAT LVL=LV MVL=MV ENDIF IF(TLL.NE.STL.OR.NSV.GT.NSVL) THEN SSTL = SIN(HR*STL) CSTL = COS(HR*STL) S2STL = SIN(2.*HR*STL) C2STL = COS(2.*HR*STL) S3STL = SIN(3.*HR*STL) C3STL = COS(3.*HR*STL) TLL = STL NSVL=NSV ENDIF IF(DAY.NE.DAYL.OR.PB(14).NE.PB14) THEN CD14=COS(DR*(DAY-PB(14))) C SD14=SIN(DR*(DAY-PB(14))) ENDIF IF(DAY.NE.DAYL.OR.PB(18).NE.PB18) CD18=COS(2.*DR*(DAY-PB(18))) DAYL=DAY PB14=PB(14) PB18=PB(18) IF(XLL.NE.LONG) THEN SLONG=SIN(DGTR*LONG) CLONG=COS(DGTR*LONG) S2LONG=SIN(2.*DGTR*LONG) C2LONG=COS(2.*DGTR*LONG) XLL=LONG NGVL=2 ENDIF C F10.7 EFFECT DF=F107-F107A DFA=F107A-150. DFC=DFA+PB(20)*DF C TIME INDEPENDENT F1B=1.+PB(22)*DFC*SWC(1) IF(WW(1).NE.9898) THEN WB(1,2)=(PB(2)*BT(3,1)+PB(3)*BT(5,1)+PB(23)*BT(7,1))*F1B ENDIF WB(2,2)=0. F1C=1.+PC(22)*DFC*SWC(1) WC(1,2)=0. IF(WW(2).NE.9898) THEN WC(2,2)=-(PC(2)*BT(2,1)+PC(3)*BT(4,1)+PC(23)*BT(6,1))*F1C $ -(PC(27)*BT(3,1)+PC(15)*BT(5,1)+PC(60)*BT(7,1) $ +PC(161)*BT(9,1)+PC(162)*BT(11,1)+PC(163)*BT(13,1))*F1C ENDIF C SYMMETRICAL ANNUAL C SYMMETRICAL SEMIANNUAL IF(WW(1).NE.9898) THEN WB(1,4)=(PB(17)*BT(3,1)+PB(31)*BT(5,1))*CD18 ENDIF WB(2,4)=0 WC(1,4)=0 IF(WW(2).NE.9898) THEN WC(2,4)=-(PC(17)*BT(2,1)+PC(31)*BT(4,1))*CD18 ENDIF C ASYMMETRICAL ANNUAL F5B=1.+PB(48)*DFC*SWC(1) IF(WW(1).NE.9898) THEN WB(1,5)=(PB(10)*BT(2,1)+PB(11)*BT(4,1))*CD14*F5B ENDIF WB(2,5)=0 F5C=1.+PC(48)*DFC*SWC(1) WC(1,5)=0 IF(WW(2).NE.9898) THEN WC(2,5)=-(PC(10)*BT(3,1)+PC(11)*BT(5,1))*CD14*F5C ENDIF C ASYMMETRICAL SEMIANNUAL C none C DIURNAL IF(SW(7).EQ.0) GOTO 200 F7B=1.+PB(50)*DFC*SWC(1) F75B=1.+PB(83)*DFC*SWC(1) IF(WW(1).NE.9898) THEN WB(1,7)=(PB(7)*BT(2,2)+PB(8)*BT(4,2)+PB(29)*BT(6,2) $ +PB(142)*BT(8,2)+PB(144)*BT(10,2) $ +PB(182)*BT(3,2)+PB(184)*BT(5,2) $ )*SSTL*F7B $ +(PB(13)*BT(3,2)+PB(146)*BT(5,2)) $ *CD14*SSTL*F75B*SWC(5) $ +(PB(171)*BT(2,2)+PB(173)*BT(4,2)) $ *CD18*SSTL*F75B*SWC(4) $ + (PB(4)*BT(2,2)+PB(5)*BT(4,2)+PB(28)*BT(6,2) $ +PB(141)*BT(8,2)+PB(143)*BT(10,2) $ +PB(181)*BT(3,2)+PB(183)*BT(5,2) $ )*CSTL*F7B $ +(PB(12)*BT(3,2)+PB(145)*BT(5,2)) $ *CD14*CSTL*F75B*SWC(5) $ +(PB(170)*BT(2,2)+PB(172)*BT(4,2)) $ *CD18*CSTL*F75B*SWC(4) ENDIF IF(WW(2).NE.9898) THEN WB(2,7)=-(PB(4)*BP(2,2)+PB(5)*BP(4,2)+PB(28)*BP(6,2) $ +PB(141)*BP(8,2)+PB(143)*BP(10,2) $ +PB(181)*BP(3,2)+PB(183)*BP(5,2) $ )*SSTL*F7B $ -(PB(12)*BP(3,2)+PB(145)*BP(5,2)) $ *CD14*SSTL*F75B*SWC(5) $ -(PB(170)*BP(2,2)+PB(172)*BP(4,2)) $ *CD18*SSTL*F75B*SWC(4) $ + (PB(7)*BP(2,2)+PB(8)*BP(4,2)+PB(29)*BP(6,2) $ +PB(142)*BP(8,2)+PB(144)*BP(10,2) $ +PB(182)*BP(3,2)+PB(184)*BP(5,2) $ )*CSTL*F7B $ +(PB(13)*BP(3,2)+PB(146)*BP(5,2)) $ *CD14*CSTL*F75B*SWC(5) $ +(PB(171)*BP(2,2)+PB(173)*BP(4,2)) $ *CD18*CSTL*F75B*SWC(4) ENDIF F7C=1.+PC(50)*DFC*SWC(1) F75C=1.+PC(83)*DFC*SWC(1) IF(WW(1).NE.9898) THEN WC(1,7)=-(PC(4)*BP(3,2)+PC(5)*BP(5,2)+PC(28)*BP(7,2) $ +PC(141)*BP(9,2)+PC(143)*BP(11,2) $ +PC(181)*BP(2,2)+PC(183)*BP(4,2)+PC(185)*BP(6,2) $ +PC(187)*BP(8,2)+PC(189)*BP(10,2) $ )*SSTL*F7C $ -(PC(12)*BP(2,2)+PC(145)*BP(4,2)) $ *CD14*SSTL*F75C*SWC(5) $ -(PC(170)*BP(3,2)+PC(172)*BP(5,2)) $ *CD18*SSTL*F75C*SWC(4) $ +(PC(7)*BP(3,2)+PC(8)*BP(5,2)+PC(29)*BP(7,2) $ +PC(142)*BP(9,2)+PC(144)*BP(11,2) $ +PC(182)*BP(2,2)+PC(184)*BP(4,2)+PC(186)*BP(6,2) $ +PC(188)*BP(8,2)+PC(190)*BP(10,2) $ )*CSTL*F7C $ +(PC(13)*BP(2,2)+PC(146)*BP(4,2)) $ *CD14*CSTL*F75C*SWC(5) $ +(PC(171)*BP(3,2)+PC(173)*BP(5,2)) $ *CD18*CSTL*F75C*SWC(4) ENDIF IF(WW(2).NE.9898) THEN WC(2,7)=-(PC(7)*BT(3,2)+PC(8)*BT(5,2)+PC(29)*BT(7,2) $ +PC(142)*BT(9,2)+PC(144)*BT(11,2) $ +PC(182)*BT(2,2)+PC(184)*BT(4,2)+PC(186)*BT(6,2) $ +PC(188)*BT(8,2)+PC(190)*BT(10,2) $ )*SSTL*F7C $ -(PC(13)*BT(2,2)+PC(146)*BT(4,2)) $ *CD14*SSTL*F75C*SWC(5) $ -(PC(171)*BT(3,2)+PC(173)*BT(5,2)) $ *CD18*SSTL*F75C*SWC(4) $ -(PC(4)*BT(3,2)+PC(5)*BT(5,2)+PC(28)*BT(7,2) $ +PC(141)*BT(9,2)+PC(143)*BT(11,2) $ +PC(181)*BT(2,2)+PC(183)*BT(4,2)+PC(185)*BT(6,2) $ +PC(187)*BT(8,2)+PC(189)*BT(10,2) $ )*CSTL*F7C $ -(PC(12)*BT(2,2)+PC(145)*BT(4,2)) $ *CD14*CSTL*F75C*SWC(5) $ -(PC(170)*BT(3,2)+PC(172)*BT(5,2)) $ *CD18*CSTL*F75C*SWC(4) ENDIF 200 CONTINUE C SEMIDIURNAL IF(SW(8).EQ.0) GOTO 210 F8B=1.+PB(90)*DFC*SWC(1) IF(WW(1).NE.9898) THEN WB(1,8)=(PB(9)*BT(3,3)+PB(43)*BT(5,3) $ +PB(111)*BT(7,3) $ +(PB(34)*BT(4,3)+PB(148)*BT(6,3))*CD14*SWC(5) $ +(PB(134)*BT(3,3))*CD18*SWC(4) $ +PB(152)*BT(4,3)+PB(154)*BT(6,3)+PB(156)*BT(8,3) $ +PB(158)*BT(10,3) $ )*S2STL*F8B $ +(PB(6)*BT(3,3)+PB(42)*BT(5,3) $ +PB(110)*BT(7,3) $ +(PB(24)*BT(4,3)+PB(147)*BT(6,3))*CD14*SWC(5) $ +(PB(135)*BT(3,3))*CD18*SWC(4) $ +PB(151)*BT(4,3)+PB(153)*BT(6,3)+PB(155)*BT(8,3) $ +PB(157)*BT(10,3) $ )*C2STL*F8B ENDIF IF(WW(2).NE.9898) THEN WB(2,8)=-(PB(6)*BP(3,3)+PB(42)*BP(5,3) $ +PB(110)*BP(7,3) $ +(PB(24)*BP(4,3)+PB(147)*BP(6,3))*CD14*SWC(5) $ +(PB(135)*BP(3,3))*CD18*SWC(4) $ +PB(151)*BP(4,3)+PB(153)*BP(6,3)+PB(155)*BP(8,3) $ +PB(157)*BP(10,3) $ )*S2STL*F8B $ + (PB(9)*BP(3,3)+PB(43)*BP(5,3) $ +PB(111)*BP(7,3) $ +(PB(34)*BP(4,3)+PB(148)*BP(6,3))*CD14*SWC(5) $ +(PB(134)*BP(3,3))*CD18*SWC(4) $ +PB(152)*BP(4,3)+PB(154)*BP(6,3)+PB(156)*BP(8,3) $ +PB(158)*BP(10,3) $ )*C2STL*F8B ENDIF F8C=1.+PC(90)*DFC*SWC(1) IF(WW(1).NE.9898) THEN WC(1,8)=-(PC(6)*BP(4,3)+PC(42)*BP(6,3) $ +PC(110)*BP(8,3) $ +(PC(24)*BP(3,3)+PC(147)*BP(5,3))*CD14*SWC(5) $ +(PC(135)*BP(4,3))*CD18*SWC(4) $ +PC(151)*BP(3,3)+PC(153)*BP(5,3)+PC(155)*BP(7,3) $ +PC(157)*BP(9,3) $ )*S2STL*F8C $ +(PC(9)*BP(4,3)+PC(43)*BP(6,3) $ +PC(111)*BP(8,3) $ +(PC(34)*BP(3,3)+PC(148)*BP(5,3))*CD14*SWC(5) $ +(PC(134)*BP(4,3))*CD18*SWC(4) $ +PC(152)*BP(3,3)+PC(154)*BP(5,3)+PC(156)*BP(7,3) $ +PC(158)*BP(9,3) $ )*C2STL*F8C ENDIF IF(WW(2).NE.9898) THEN WC(2,8)=-(PC(9)*BT(4,3)+PC(43)*BT(6,3) $ +PC(111)*BT(8,3) $ +(PC(34)*BT(3,3)+PC(148)*BT(5,3))*CD14*SWC(5) $ +(PC(134)*BT(4,3))*CD18*SWC(4) $ +PC(152)*BT(3,3)+PC(154)*BT(5,3)+PC(156)*BT(7,3) $ +PC(158)*BT(9,3) $ )*S2STL*F8C $ - (PC(6)*BT(4,3)+PC(42)*BT(6,3) $ +PC(110)*BT(8,3) $ +(PC(24)*BT(3,3)+PC(147)*BT(5,3))*CD14*SWC(5) $ +(PC(135)*BT(4,3))*CD18*SWC(4) $ +PC(151)*BT(3,3)+PC(153)*BT(5,3)+PC(155)*BT(7,3) $ +PC(157)*BT(9,3) $ )*C2STL*F8C ENDIF 210 CONTINUE C TERDIURNAL IF(SW(14).EQ.0) GOTO 220 F14B=1. IF(WW(1).NE.9898) THEN WB(1,14)=(PB(40)*BT(4,4)+PB(149)*BT(6,4) $ +PB(114)*BT(8,4) $ +(PB(94)*BT(5,4)+PB(47)*BT(7,4))*CD14*SWC(5) $ )*S3STL*F14B $ + (PB(41)*BT(4,4)+PB(150)*BT(6,4) $ +PB(115)*BT(8,4) $ +(PB(95)*BT(5,4)+PB(49)*BT(7,4))*CD14*SWC(5) $ )*C3STL*F14B ENDIF IF(WW(2).NE.9898) THEN WB(2,14)=-(PB(41)*BP(4,4)+PB(150)*BP(6,4) $ +PB(115)*BP(8,4) $ +(PB(95)*BP(5,4)+PB(49)*BP(7,4))*CD14*SWC(5) $ )*S3STL*F14B $ + (PB(40)*BP(4,4)+PB(149)*BP(6,4) $ +PB(114)*BP(8,4) $ +(PB(94)*BP(5,4)+PB(47)*BP(7,4))*CD14*SWC(5) $ )*C3STL*F14B ENDIF F14C=1. IF(WW(1).NE.9898) THEN WC(1,14)=-(PC(41)*BP(5,4)+PC(150)*BP(7,4) $ +PC(115)*BP(9,4) $ +(PC(95)*BP(4,4)+PC(49)*BP(6,4))*CD14*SWC(5) $ )*S3STL*F14C $ + (PC(40)*BP(5,4)+PC(149)*BP(7,4) $ +PC(114)*BP(9,4) $ +(PC(94)*BP(4,4)+PC(47)*BP(6,4))*CD14*SWC(5) $ )*C3STL*F14C ENDIF IF(WW(2).NE.9898) THEN WC(2,14)=-(PC(40)*BT(5,4)+PC(149)*BT(7,4) $ +PC(114)*BT(9,4) $ +(PC(94)*BT(4,4)+PC(47)*BT(6,4))*CD14*SWC(5) $ )*S3STL*F14C $ - (PC(41)*BT(5,4)+PC(150)*BT(7,4) $ +PC(115)*BT(9,4) $ +(PC(95)*BT(4,4)+PC(49)*BT(6,4))*CD14*SWC(5) $ )*C3STL*F14C ENDIF 220 CONTINUE C MAGNETIC ACTIVITY IF(SW(9).EQ.0.) GOTO 40 IF(SW9.EQ.-1.) GOTO 30 C daily AP APD=AP(1)-4. APDF=(APD+(PB(45)-1.)*(APD+(EXP(-PB(44)*APD)-1.)/PB(44))) C APDFC=(APD+(PC(45)-1.)*(APD+(EXP(-PC(44)*APD)-1.)/PC(44))) APDFC=APDF IF(APD.EQ.0.) GOTO 40 IF(WW(1).NE.9898) THEN WB(1,9)=(PB(46)*BT(3,1)+PB(35)*BT(5,1)+PB(33)*BT(7,1))*APDF $ +(PB(175)*BT(3,3)+PB(177)*BT(5,3))*S2STL*APDF $ +(PB(174)*BT(3,3)+PB(176)*BT(5,3))*C2STL*APDF ENDIF IF(WW(2).NE.9898) THEN WB(2,9)=0 $ -(PB(174)*BP(3,3)+PB(176)*BP(5,3))*S2STL*APDF $ +(PB(175)*BP(3,3)+PB(177)*BP(5,3))*C2STL*APDF ENDIF IF(WW(1).NE.9898) THEN WC(1,9)=SWC(7)*WC(1,7)*PC(122)*APDFC $ -(PC(174)*BP(4,3)+PC(176)*BP(6,3))*S2STL*APDFC $ +(PC(175)*BP(4,3)+PC(177)*BP(6,3))*C2STL*APDFC ENDIF IF(WW(2).NE.9898) THEN WC(2,9)=-(PC(46)*BT(2,1)+PC(35)*BT(4,1)+PC(33)*BT(6,1))*APDFC $ +SWC(7)*WC(2,7)*PC(122)*APDFC $ -(PC(175)*BT(4,3)+PC(177)*BT(6,3))*S2STL*APDFC $ -(PC(174)*BT(4,3)+PC(176)*BT(6,3))*C2STL*APDFC ENDIF GO TO 40 30 CONTINUE IF(PB(25).LT.1.E-4) PB(25)=1.E-4 APT=G0(AP(2)) IF(APT.EQ.0) GOTO 40 IF(WW(1).NE.9898) THEN WB(1,9)=(PB(97)*BT(3,1)+PB(55)*BT(5,1)+PB(51)*BT(7,1))*APT $ +(PB(160)*BT(3,3)+PB(179)*BT(5,3))*S2STL*APT $ +(PB(159)*BT(3,3)+PB(178)*BT(5,3))*C2STL*APT ENDIF IF(WW(2).NE.9898) THEN WB(2,9)=0 $ -(PB(159)*BP(3,3)+PB(178)*BP(5,3))*S2STL*APT $ +(PB(160)*BP(3,3)+PB(179)*BP(5,3))*C2STL*APT ENDIF IF(WW(1).NE.9898) THEN WC(1,9)=SWC(7)*WC(1,7)*PC(129)*APT $ -(PC(159)*BP(4,3)+PC(178)*BP(6,3))*S2STL*APT $ +(PC(160)*BP(4,3)+PC(179)*BP(6,3))*C2STL*APT ENDIF IF(WW(2).NE.9898) THEN WC(2,9)=-(PC(97)*BT(2,1)+PC(55)*BT(4,1)+PC(51)*BT(6,1))*APT $ +SWC(7)*WC(2,7)*PC(129)*APT $ -(PC(160)*BT(4,3)+PC(179)*BT(6,3))*S2STL*APT $ -(PC(159)*BT(4,3)+PC(178)*BT(6,3))*C2STL*APT ENDIF 40 CONTINUE IF(SW(10).EQ.0) GOTO 49 C LONGITUDINAL DBASY1=1.+PB(199)*SLAT DBASY2=1.+PB(200)*SLAT F11B=1.+PB(81)*DFC*SWC(1) IF(SW(11).EQ.0) GOTO 230 IF(WW(1).NE.9898) THEN WB(1,11)=(PB(91)*BT(3,2)+PB(92)*BT(5,2)+PB(93)*BT(7,2)) $ *SLONG*DBASY1*F11B $ + (PB(65)*BT(3,2)+PB(66)*BT(5,2)+PB(67)*BT(7,2)) $ *CLONG*DBASY1*F11B $ +(PB(191)*BT(3,3)+PB(193)*BT(5,3)+PB(195)*BT(7,3) $ +PB(197)*BT(9,3) $ )*S2LONG*DBASY2*F11B $ + (PB(192)*BT(3,3)+PB(194)*BT(5,3)+PB(196)*BT(7,3) $ +PB(198)*BT(9,3) $ )*C2LONG*DBASY2*F11B ENDIF IF(WW(2).NE.9898) THEN WB(2,11)=-(PB(65)*BP(3,2)+PB(66)*BP(5,2)+PB(67)*BP(7,2)) $ *SLONG*DBASY1*F11B $ + (PB(91)*BP(3,2)+PB(92)*BP(5,2)+PB(93)*BP(7,2)) $ *CLONG*DBASY1*F11B $ -(PB(192)*BP(3,3)+PB(194)*BP(5,3)+PB(196)*BP(7,3) $ +PB(198)*BP(9,3) $ )*S2LONG*DBASY2*F11B $ + (PB(191)*BP(3,3)+PB(193)*BP(5,3)+PB(195)*BP(7,3) $ +PB(197)*BP(9,3) $ )*C2LONG*DBASY2*F11B ENDIF DCASY1=1.+PC(199)*SLAT DCASY2=1.+PC(200)*SLAT F11C=1.+PC(81)*DFC*SWC(1) IF(WW(1).NE.9898) THEN WC(1,11)=-(PC(65)*BP(2,2)+PC(66)*BP(4,2)+PC(67)*BP(6,2) $ +PC(73)*BP(8,2)+PC(74)*BP(10,2) $ )*SLONG*DCASY1*F11C $ + (PC(91)*BP(2,2)+PC(92)*BP(4,2)+PC(93)*BP(6,2) $ +PC(87)*BP(8,2)+PC(88)*BP(10,2) $ )*CLONG*DCASY1*F11C $ -(PC(192)*BP(4,3)+PC(194)*BP(6,3)+PC(196)*BP(8,3) $ +PC(198)*BP(10,3) $ )*S2LONG*DCASY2*F11C $ + (PC(191)*BP(4,3)+PC(193)*BP(6,3)+PC(195)*BP(8,3) $ +PC(197)*BP(10,3) $ )*C2LONG*DCASY2*F11C ENDIF IF(WW(2).NE.9898) THEN WC(2,11)=-(PC(91)*BT(2,2)+PC(92)*BT(4,2)+PC(93)*BT(6,2) $ +PC(87)*BT(8,2)+PC(88)*BT(10,2) $ )*SLONG*DCASY1*F11C $ - (PC(65)*BT(2,2)+PC(66)*BT(4,2)+PC(67)*BT(6,2) $ +PC(73)*BT(8,2)+PC(74)*BT(10,2) $ )*CLONG*DCASY1*F11C $ -(PC(191)*BT(4,3)+PC(193)*BT(6,3)+PC(195)*BT(8,3) $ +PC(197)*BT(10,3) $ )*S2LONG*DCASY2*F11C $ - (PC(192)*BT(4,3)+PC(194)*BT(6,3)+PC(196)*BT(8,3) $ +PC(198)*BT(10,3) $ )*C2LONG*DCASY2*F11C ENDIF 230 CONTINUE C UT & MIXED UT/LONG UTBASY=1. F12B=1.+PB(82)*DFC*SWC(1) IF(SW(12).EQ.0) GOTO 240 IF(WW(1).NE.9898) THEN WB(1,12)=(PB(69)*BT(2,1)+PB(70)*BT(4,1)+PB(71)*BT(6,1) $ +PB(116)*BT(8,1)+PB(117)*BT(10,1)+PB(118)*BT(12,1) $ )*COS(SR*(SEC-PB(72)))*UTBASY*F12B $ + (PB(77)*BT(4,3)+PB(78)*BT(6,3)+PB(79)*BT(8,3)) $ *COS(SR*(SEC-PB(80))+2.*DGTR*LONG)*UTBASY*F12B*SWC(11) ENDIF IF(WW(2).NE.9898) THEN WB(2,12)=(PB(77)*BP(4,3)+PB(78)*BP(6,3)+PB(79)*BP(8,3)) $ *COS(SR*(SEC-PB(80)+21600.)+2.*DGTR*LONG) $ *UTBASY*F12B*SWC(11) ENDIF UTCASY=1. F12C=1.+PC(82)*DFC*SWC(1) IF(WW(1).NE.9898) THEN WC(1,12)=(PC(77)*BP(3,3)+PC(78)*BP(5,3)+PC(79)*BP(7,3) $ +PC(165)*BP(9,3)+PC(166)*BP(11,3)+PC(167)*BP(13,3) $ )*COS(SR*(SEC-PC(80))+2.*DGTR*LONG)*UTCASY*F12C*SWC(11) ENDIF IF(WW(2).NE.9898) THEN WC(2,12)=-(PC(69)*BT(3,1)+PC(70)*BT(5,1)+PC(71)*BT(7,1) $ +PC(116)*BT(9,1)+PC(117)*BT(11,1)+PC(118)*BT(13,1) $ )*COS(SR*(SEC-PC(72)))*UTCASY*F12C $ + (PC(77)*BT(3,3)+PC(78)*BT(5,3)+PC(79)*BT(7,3) $ +PC(165)*BT(9,3)+PC(166)*BT(11,3)+PC(167)*BT(13,3) $ )*COS(SR*(SEC-PC(80)+21600.)+2.*DGTR*LONG) $ *UTCASY*F12C*SWC(11) ENDIF 240 CONTINUE C MIXED LONG,UT,AP IF(SW(13).EQ.0) GOTO 48 IF(SW9.EQ.-1.) GO TO 45 IF(APD.EQ.0) GOTO 48 IF(WW(1).NE.9898) THEN WB(1,13)= $ (PB(61)*BT(3,2)+PB(62)*BT(5,2)+PB(63)*BT(7,2)) $ *COS(DGTR*(LONG-PB(64)))*APDF*SWC(11)+ $ (PB(84)*BT(2,1)+PB(85)*BT(4,1)+PB(86)*BT(6,1)) $ *COS(SR*(SEC-PB(76)))*APDF*SWC(12) ENDIF IF(WW(2).NE.9898) THEN WB(2,13)=(PB(61)*BP(3,2)+PB(62)*BP(5,2)+PB(63)*BP(7,2)) $ *COS(DGTR*(LONG-PB(64)+90.))*APDF*SWC(11) ENDIF IF(WW(1).NE.9898) THEN WC(1,13)=SWC(11)*WC(1,11)*PC(61)*APDFC $ +SWC(12)*WC(1,12)*PC(84)*APDFC ENDIF IF(WW(2).NE.9898) THEN WC(2,13)=SWC(11)*WC(2,11)*PC(61)*APDFC $ +SWC(12)*WC(2,12)*PC(84)*APDFC ENDIF GOTO 48 45 CONTINUE IF(APT.EQ.0) GOTO 48 IF(WW(1).NE.9898) THEN WB(1,13)= $ (PB(53)*BT(3,2)+PB(99)*BT(5,2)+PB(68)*BT(7,2)) $ *COS(DGTR*(LONG-PB(98)))*APT*SWC(11)+ $ (PB(56)*BT(2,1)+PB(57)*BT(4,1)+PB(58)*BT(6,1)) $ *COS(SR*(SEC-PB(59)))*APT*SWC(12) ENDIF IF(WW(2).NE.9898) THEN WB(2,13)=(PB(53)*BP(3,2)+PB(99)*BP(5,2)+PB(68)*BP(7,2)) $ *COS(DGTR*(LONG-PB(98)+90.))*APT*SWC(11) ENDIF IF(WW(1).NE.9898) THEN WC(1,13)=SWC(11)*WC(1,11)*PC(53)*APT $ +SWC(12)*WC(1,12)*PC(56)*APT ENDIF IF(WW(2).NE.9898) THEN WC(2,13)=SWC(11)*WC(2,11)*PC(53)*APT $ +SWC(12)*WC(2,12)*PC(56)*APT ENDIF 48 CONTINUE 49 CONTINUE WBT(1)=0 WBT(2)=0 WCT(1)=0 WCT(2)=0 C SUM WINDS AND CHANGE MERIDIONAL SIGN TO + NORTH DO 50 K=1,NSW WBT(1)=WBT(1)-ABS(SW(K))*WB(1,K) WCT(1)=WCT(1)-ABS(SW(K))*WC(1,K) WBT(2)=WBT(2)+ABS(SW(K))*WB(2,K) WCT(2)=WCT(2)+ABS(SW(K))*WC(2,K) 50 CONTINUE IF(WW(1).NE.9898) WW(1)=WBT(1)*SW(24)+WCT(1)*SW(25) IF(WW(2).NE.9898) WW(2)=WBT(2)*SW(24)+WCT(2)*SW(25) RETURN END C----------------------------------------------------------------------- SUBROUTINE GLBW5M(YRD,SEC,LAT,LONG,STL,F107A,F107,AP,PB,PC,WW) REAL LAT,LONG DIMENSION WB(2,15),WC(2,15),PB(1),PC(1),WW(2) DIMENSION AP(1) COMMON/CSW/SW(25),ISW,SWC(25) COMMON/HWMC/WBT(2),WCT(2) C COMMON/VPOLY/BT(20,20),BP(20,20),CSTL,SSTL,C2STL,S2STL, C $ C3STL,S3STL,IYR,DAY,DF,DFA,DFC,APD,APDF,APDFC,APT,STL COMMON/VPOLY2/XVL,LVL,MVL,CLAT,SLAT,BT(20,20),BP(20,20) COMMON/LTCOMP/TLL,NSVL,CSTL,SSTL,C2STL,S2STL,C3STL,S3STL COMMON/LGCOMP/XLL,NGVL,CLONG,SLONG,C2LONG,S2LONG SAVE DATA DGTR/.017453/,SR/7.2722E-5/,HR/.2618/,DR/1.72142E-2/ DATA PB14/-1./,PB18/-1./ DATA NSW/14/,WB/30*0/,WC/30*0/ DATA SW9/1./,LV/10/,MV/2/,NSV/2/,PSET/4./ G0(A)=(A-4.+(PB(26)-1.)*(A-4.+(EXP(-ABS(PB(25))*(A-4.))-1.)/ * ABS(PB(25)))) C CONFIRM PARAMETER SET IF(PB(100).EQ.0) PB(100)=PSET IF(PB(100).NE.PSET) THEN WRITE(6,900) PSET,PB(100),PC(100) 900 FORMAT(1X,'WRONG PARAMETER SET FOR GLBW5M',3F10.1) STOP ENDIF C DO 10 J=1,NSW WB(1,J)=0 WB(2,J)=0 WC(1,J)=0 WC(2,J)=0 10 CONTINUE IF(SW(9).GT.0) SW9=1. IF(SW(9).LT.0) SW9=-1. IYR = YRD/1000. DAY = YRD - IYR*1000. IF(XVL.NE.LAT.OR.LV.GT.LVL.OR.MV.GT.MVL) THEN SLAT=SIN(DGTR*LAT) CLAT=COS(DGTR*LAT) CALL VSPHR1(SLAT,CLAT,LV,MV,BT,BP,20) XVL=LAT LVL=LV MVL=MV ENDIF IF(TLL.NE.STL.OR.NSV.GT.NSVL) THEN SSTL = SIN(HR*STL) CSTL = COS(HR*STL) S2STL = SIN(2.*HR*STL) C2STL = COS(2.*HR*STL) TLL = STL NSVL=NSV ENDIF IF(DAY.NE.DAYL.OR.PB(14).NE.PB14) CD14=COS(DR*(DAY-PB(14))) IF(DAY.NE.DAYL.OR.PB(18).NE.PB18) CD18=COS(2.*DR*(DAY-PB(18))) IF(DAY.NE.DAYL.OR.PB(19).NE.PB19) CD19B=COS(2.*DR*(DAY-PB(19))) DAYL=DAY PB14=PB(14) PB18=PB(18) PB19=PB(19) C F10.7 EFFECT DF=F107-F107A DFA=F107A-150. DFC=DFA+PB(20)*DF C TIME INDEPENDENT F1B=1. IF(WW(1).NE.9898) THEN WB(1,2)=(PB(2)*BT(3,1)+PB(3)*BT(5,1)+PB(23)*BT(7,1))*F1B ENDIF WB(2,2)=0. F1C=1. WC(1,2)=0. IF(WW(2).NE.9898) THEN WC(2,2)=-(PC(2)*BT(2,1)+PC(3)*BT(4,1)+PC(23)*BT(6,1))*F1C $ -(PC(27)*BT(3,1)+PC(15)*BT(5,1)+PC(60)*BT(7,1))*F1C ENDIF C SYMMETRICAL ANNUAL C SYMMETRICAL SEMIANNUAL IF(WW(1).NE.9898) THEN WB(1,4)=(PB(17)*BT(3,1)+PB(31)*BT(5,1))*CD18 ENDIF WB(2,4)=0 WC(1,4)=0 IF(WW(2).NE.9898) THEN WC(2,4)=-(PC(17)*BT(2,1)+PC(31)*BT(4,1))*CD18 ENDIF C ASYMMETRICAL ANNUAL F5B=1. IF(WW(1).NE.9898) THEN WB(1,5)=(PB(10)*BT(2,1)+PB(11)*BT(4,1))*CD14*F5B ENDIF WB(2,5)=0 F5C=1. WC(1,5)=0 IF(WW(2).NE.9898) THEN WC(2,5)=-(PC(10)*BT(3,1)+PC(11)*BT(5,1))*CD14*F5C ENDIF C ASYMMETRICAL SEMIANNUAL C DIURNAL IF(SW(7).EQ.0) GOTO 200 F7B=1. F75B=1. IF(WW(1).NE.9898) THEN WB(1,7)=(PB(7)*BT(2,2)+PB(8)*BT(4,2)+PB(29)*BT(6,2) $ +PB(89)*BT(3,2) $ )*SSTL*F7B $ +(PB(13)*BT(3,2)+PB(146)*BT(5,2)) $ *CD14*SSTL*F75B*SWC(5) $ + (PB(4)*BT(2,2)+PB(5)*BT(4,2)+PB(28)*BT(6,2) $ +PB(88)*BT(3,2) $ )*CSTL*F7B $ +(PB(12)*BT(3,2)+PB(145)*BT(5,2)) $ *CD14*CSTL*F75B*SWC(5) ENDIF IF(WW(2).NE.9898) THEN WB(2,7)=-(PB(4)*BP(2,2)+PB(5)*BP(4,2)+PB(28)*BP(6,2) $ +PB(88)*BP(3,2) $ )*SSTL*F7B $ -(PB(12)*BP(3,2)+PB(145)*BP(5,2)) $ *CD14*SSTL*F75B*SWC(5) $ + (PB(7)*BP(2,2)+PB(8)*BP(4,2)+PB(29)*BP(6,2) $ +PB(89)*BP(3,2) $ )*CSTL*F7B $ +(PB(13)*BP(3,2)+PB(146)*BP(5,2)) $ *CD14*CSTL*F75B*SWC(5) ENDIF F7C=1. F75C=1. IF(WW(1).NE.9898) THEN WC(1,7)=-(PC(4)*BP(3,2)+PC(5)*BP(5,2)+PC(28)*BP(7,2) $ +PC(88)*BP(2,2) $ +PC(141)*BP(9,2)+PC(143)*BP(11,2) $ )*SSTL*F7C $ -(PC(12)*BP(2,2)+PC(145)*BP(4,2)) $ *CD14*SSTL $ *F75C*SWC(5) $ +(PC(7)*BP(3,2)+PC(8)*BP(5,2)+PC(29)*BP(7,2) $ +PC(89)*BP(2,2) $ +PC(142)*BP(9,2)+PC(144)*BP(11,2) $ )*CSTL*F7C $ +(PC(13)*BP(2,2)+PC(146)*BP(4,2)) $ *CD14*CSTL $ *F75C*SWC(5) ENDIF IF(WW(2).NE.9898) THEN WC(2,7)=-(PC(7)*BT(3,2)+PC(8)*BT(5,2)+PC(29)*BT(7,2) $ +PC(89)*BT(2,2) $ +PC(142)*BT(9,2)+PC(144)*BT(11,2) $ )*SSTL*F7C $ -(PC(13)*BT(2,2)+PC(146)*BT(4,2)) $ *CD14*SSTL $ *F75C*SWC(5) $ -(PC(4)*BT(3,2)+PC(5)*BT(5,2)+PC(28)*BT(7,2) $ +PC(88)*BT(2,2) $ +PC(141)*BT(9,2)+PC(143)*BT(11,2) $ )*CSTL*F7C $ -(PC(12)*BT(2,2)+PC(145)*BT(4,2)) $ *CD14*CSTL $ *F75C*SWC(5) ENDIF 200 CONTINUE C SEMIDIURNAL IF(SW(8).EQ.0) GOTO 210 F8B=1.+PB(90)*DFC*SWC(1) IF(WW(1).NE.9898) THEN WB(1,8)=(PB(9)*BT(3,3)+PB(43)*BT(5,3)+PB(111)*BT(7,3) $ +PB(98)*BT(4,3) $ +(PB(34)*BT(4,3)+PB(148)*BT(6,3))*CD14*SWC(5) $ +(PB(37)*BT(4,3))*CD19B*SWC(6) $ )*S2STL*F8B $ +(PB(6)*BT(3,3)+PB(42)*BT(5,3)+PB(110)*BT(7,3) $ +PB(96)*BT(4,3) $ +(PB(24)*BT(4,3)+PB(147)*BT(6,3))*CD14*SWC(5) $ +(PB(36)*BT(4,3))*CD19B*SWC(6) $ )*C2STL*F8B ENDIF IF(WW(2).NE.9898) THEN WB(2,8)=-(PB(6)*BP(3,3)+PB(42)*BP(5,3)+PB(110)*BP(7,3) $ +PB(96)*BP(4,3) $ +(PB(24)*BP(4,3)+PB(147)*BP(6,3))*CD14*SWC(5) $ +(PB(36)*BP(4,3))*CD19B*SWC(6) $ )*S2STL*F8B $ + (PB(9)*BP(3,3)+PB(43)*BP(5,3)+PB(111)*BP(7,3) $ +PB(98)*BP(4,3) $ +(PB(34)*BP(4,3)+PB(148)*BP(6,3))*CD14*SWC(5) $ +(PB(37)*BP(4,3))*CD19B*SWC(6) $ )*C2STL*F8B ENDIF F8C=1.+PC(90)*DFC*SWC(1) IF(WW(1).NE.9898) THEN WC(1,8)=-(PC(6)*BP(4,3)+PC(42)*BP(6,3)+PC(110)*BP(8,3) $ +PC(96)*BP(3,3) $ +(PC(24)*BP(3,3)+PC(147)*BP(5,3))*CD14*SWC(5) $ +(PC(36)*BP(3,3))*CD19B*SWC(6) $ )*S2STL*F8C $ +(PC(9)*BP(4,3)+PC(43)*BP(6,3)+PC(111)*BP(8,3) $ +PC(98)*BP(3,3) $ +(PC(34)*BP(3,3)+PC(148)*BP(5,3))*CD14*SWC(5) $ +(PC(37)*BP(3,3))*CD19B*SWC(6) $ )*C2STL*F8C ENDIF IF(WW(2).NE.9898) THEN WC(2,8)=-(PC(9)*BT(4,3)+PC(43)*BT(6,3)+PC(111)*BT(8,3) $ +PC(98)*BT(3,3) $ +(PC(34)*BT(3,3)+PC(148)*BT(5,3))*CD14*SWC(5) $ +(PC(37)*BT(3,3))*CD19B*SWC(6) $ )*S2STL*F8C $ - (PC(6)*BT(4,3)+PC(42)*BT(6,3) $ +PC(96)*BT(3,3) $ +PC(110)*BT(8,3) $ +(PC(24)*BT(3,3)+PC(147)*BT(5,3))*CD14*SWC(5) $ +(PC(36)*BT(3,3))*CD19B*SWC(6) $ )*C2STL*F8C ENDIF 210 CONTINUE C TERDIURNAL C MAGNETIC ACTIVITY IF(SW(9).EQ.0) GOTO 40 IF(SW9.EQ.-1.) GOTO 30 C daily AP APD=AP(1)-4. APDF=(APD+(PB(45)-1.)*(APD+(EXP(-PB(44)*APD)-1.)/PB(44))) C APDFC=(APD+(PC(45)-1.)*(APD+(EXP(-PC(44)*APD)-1.)/PC(44))) APDFC=APDF IF(APD.EQ.0) GOTO 40 IF(WW(1).NE.9898) THEN WB(1,9)=(PB(46)*BT(3,1)+PB(35)*BT(5,1))*APDF $ +(PB(122)*BT(2,2)+PB(123)*BT(4,2)+PB(124)*BT(6,2) $ )*COS(HR*(STL-PB(125)))*APDF*SWC(7) ENDIF IF(WW(2).NE.9898) THEN WB(2,9)= $ (PB(122)*BP(2,2)+PB(123)*BP(4,2)+PB(124)*BP(6,2) $ )*COS(HR*(STL-PB(125)+6.))*APDF*SWC(7) ENDIF IF(WW(1).NE.9898) THEN WC(1,9)= $ (PC(122)*BP(3,2)+PC(123)*BP(5,2)+PC(124)*BP(7,2) $ )*COS(HR*(STL-PC(125)))*APDFC*SWC(7) ENDIF IF(WW(2).NE.9898) THEN WC(2,9)=-(PC(46)*BT(2,1)+PC(35)*BT(4,1))*APDFC $ +(PC(122)*BT(3,2)+PC(123)*BT(5,2)+PC(124)*BT(7,2) $ )*COS(HR*(STL-PC(125)+6.))*APDFC*SWC(7) ENDIF GO TO 40 30 CONTINUE IF(PB(25).LT.1.E-4) PB(25)=1.E-4 APT=G0(AP(2)) IF(APT.EQ.0) GOTO 40 IF(WW(1).NE.9898) THEN WB(1,9)=(PB(97)*BT(3,1)+PB(55)*BT(5,1))*APT $ +(PB(129)*BT(2,2)+PB(130)*BT(4,2)+PB(131)*BT(6,2) $ )*COS(HR*(STL-PB(132)))*APT*SWC(7) ENDIF IF(WW(2).NE.9898) THEN WB(2,9)= $ (PB(129)*BP(2,2)+PB(130)*BP(4,2)+PB(131)*BP(6,2) $ )*COS(HR*(STL-PB(132)+6.))*APT*SWC(7) ENDIF IF(WW(1).NE.9898) THEN WC(1,9)= $ (PC(129)*BP(3,2)+PC(130)*BP(5,2)+PC(131)*BP(7,2) $ )*COS(HR*(STL-PC(132)))*APT*SWC(7) ENDIF IF(WW(2).NE.9898) THEN WC(2,9)=-(PC(97)*BT(2,1)+PC(55)*BT(4,1))*APT $ +(PC(129)*BT(3,2)+PC(130)*BT(5,2)+PC(131)*BT(7,2) $ )*COS(HR*(STL-PC(132)+6.))*APT*SWC(7) ENDIF 40 CONTINUE WBT(1)=0 WBT(2)=0 WCT(1)=0 WCT(2)=0 C SUM WINDS AND CHANGE MERIDIONAL SIGN TO + NORTH DO 50 K=1,NSW WBT(1)=WBT(1)-ABS(SW(K))*WB(1,K) WCT(1)=WCT(1)-ABS(SW(K))*WC(1,K) WBT(2)=WBT(2)+ABS(SW(K))*WB(2,K) WCT(2)=WCT(2)+ABS(SW(K))*WC(2,K) 50 CONTINUE IF(WW(1).NE.9898) WW(1)=WBT(1)*SW(24)+WCT(1)*SW(25) IF(WW(2).NE.9898) WW(2)=WBT(2)*SW(24)+WCT(2)*SW(25) RETURN END C----------------------------------------------------------------------- SUBROUTINE GLBW5S(IYD,LAT,LONG,STL,PB,PC,WW) REAL LAT,LONG DIMENSION WB(2,15),WC(2,15),PB(1),PC(1),WW(2) COMMON/CSW/SW(25),ISW,SWC(25) COMMON/HWMC/WBT(2),WCT(2) COMMON/VPOLY2/XVL,LVL,MVL,CLAT,SLAT,BT(20,20),BP(20,20) COMMON/LTCOMP/TLL,NSVL,CSTL,SSTL,C2STL,S2STL,C3STL,S3STL COMMON/LGCOMP/XLL,NGVL,CLONG,SLONG,C2LONG,S2LONG SAVE DATA DGTR/.017453/,SR/7.2722E-5/,HR/.2618/,DR/1.72142E-2/ DATA PB14/-1./,PB18/-1./,PC14/-1./,PC18/-1./,PSET/5./ DATA NSW/14/,WB/30*0/,WC/30*0/ C CONFIRM PARAMETER SET IF(PB(100).EQ.0) PB(100)=PSET IF(PB(100).NE.PSET) THEN WRITE(6,900) PSET,PB(100),PC(100) 900 FORMAT(1X,'WRONG PARAMETER SET FOR GLBW5S',3F10.1) STOP ENDIF C DO 10 J=1,NSW WB(1,J)=0 WB(2,J)=0 WC(1,J)=0 WC(2,J)=0 10 CONTINUE IYR = IYD/1000 DAY = IYD - IYR*1000 C LV=7 MV=2 IF(XVL.NE.LAT.OR.LV.GT.LVL.OR.MV.GT.MVL) THEN SLAT=SIN(DGTR*LAT) CLAT=COS(DGTR*LAT) CALL VSPHR1(SLAT,CLAT,LV,MV,BT,BP,20) PLG10=SLAT PLG30=(5.*SLAT*SLAT-3.)*SLAT/2. XVL=LAT LVL=LV MVL=MV ENDIF C NSV=2 IF(TLL.NE.STL.OR.NSV.GT.NSVL) THEN SSTL = SIN(HR*STL) CSTL = COS(HR*STL) S2STL = SIN(2.*HR*STL) C2STL = COS(2.*HR*STL) TLL = STL NSVL=NSV ENDIF IF(DAY.NE.DAYL.OR.PB(14).NE.PB14) CD14B=COS(DR*(DAY-PB(14))) IF(DAY.NE.DAYL.OR.PC(14).NE.PC14) CD14C=COS(DR*(DAY-PC(14))) IF(DAY.NE.DAYL.OR.PB(18).NE.PB18) CD18B=COS(2.*DR*(DAY-PB(18))) IF(DAY.NE.DAYL.OR.PC(18).NE.PC18) CD18C=COS(2.*DR*(DAY-PC(18))) IF(DAY.NE.DAYL.OR.PB(19).NE.PB19) CD19B=COS(2.*DR*(DAY-PB(19))) IF(DAY.NE.DAYL.OR.PB(25).NE.PB25) CD25B=COS(DR*(DAY-PB(25))) C IF(DAY.NE.DAYL.OR.PC(25).NE.PC25) CD25C=COS(DR*(DAY-PC(25))) IF(DAY.NE.DAYL.OR.PB(26).NE.PB26) CD26B=COS(DR*(DAY-PB(26))) C IF(DAY.NE.DAYL.OR.PC(26).NE.PC26) CD26C=COS(DR*(DAY-PC(26))) IF(DAY.NE.DAYL.OR.PC(32).NE.PC32) CD32C=COS(DR*(DAY-PC(32))) IF(DAY.NE.DAYL.OR.PC(39).NE.PC39) CD39C=COS(2.*DR*(DAY-PC(39))) IF(DAY.NE.DAYL.OR.PC(64).NE.PC64) CD64C=COS(DR*(DAY-PC(64))) IF(DAY.NE.DAYL.OR.PC(87).NE.PC87) CD87C=COS(2.*DR*(DAY-PC(87))) DAYL=DAY PB14=PB(14) PC14=PC(14) PB18=PB(18) PC18=PC(18) PB19=PB(19) PB25=PB(25) PC25=PC(25) PB26=PB(26) PC26=PC(26) PC32=PC(32) PC39=PC(39) PC64=PC(64) PC87=PC(87) C NGV=1 IF(XLL.NE.LONG.OR.NGV.GT.NGVL) THEN SLONG=SIN(DGTR*LONG) CLONG=COS(DGTR*LONG) XLL=LONG NGVL=NGV ENDIF C TIME INDEPENDENT F1B=1. IF(WW(1).NE.9898) THEN WB(1,2)=(PB(2)*BT(3,1)+PB(3)*BT(5,1)+PB(23)*BT(7,1))*F1B ENDIF WB(2,2)=0. F1C=1. WC(1,2)=0. IF(WW(2).NE.9898) THEN WC(2,2)=-(PC(2)*BT(2,1)+PC(3)*BT(4,1)+PC(23)*BT(6,1))*F1C $ -(PC(27)*BT(3,1)+PC(15)*BT(5,1)+PC(60)*BT(7,1))*F1C ENDIF C SYMMETRICAL ANNUAL IF(WW(2).NE.9898) THEN WC(2,3)=-(PC(48)*BT(2,1)+PC(30)*BT(4,1))*CD32C ENDIF C SYMMETRICAL SEMIANNUAL IF(WW(1).NE.9898) THEN WB(1,4)=(PB(17)*BT(3,1)+PB(31)*BT(5,1))*CD18B ENDIF WB(2,4)=0 WC(1,4)=0 IF(WW(2).NE.9898) THEN WC(2,4)=-(PC(17)*BT(2,1)+PC(31)*BT(4,1)+PC(50)*BT(6,1))*CD18C ENDIF C ASYMMETRICAL ANNUAL F5B=1. IF(WW(1).NE.9898) THEN WB(1,5)=(PB(10)*BT(2,1)+PB(11)*BT(4,1))*CD14B*F5B ENDIF WB(2,5)=0 F5C=1. WC(1,5)=0 IF(WW(2).NE.9898) THEN WC(2,5)=-(PC(10)*BT(3,1)+PC(11)*BT(5,1)+PC(21)*BT(7,1))*CD14C*F5C ENDIF C ASYMMETRICAL SEMIANNUAL IF(WW(2).NE.9898) THEN WC(2,6)=-(PC(38)*BT(3,1)+PC(99)*BT(5,1))*CD39C ENDIF C DIURNAL IF(SW(7).EQ.0) GOTO 200 F7B=1. F75B=1. IF(WW(1).NE.9898) THEN WB(1,7)=(PB(7)*BT(2,2)+PB(8)*BT(4,2)+PB(29)*BT(6,2) $ +PB(89)*BT(3,2) $ )*SSTL*F7B $ +(PB(13)*BT(3,2)) $ *CD25B*SSTL*F75B*SWC(5) $ + (PB(4)*BT(2,2)+PB(5)*BT(4,2)+PB(28)*BT(6,2) $ +PB(88)*BT(3,2) $ )*CSTL*F7B $ +(PB(12)*BT(3,2)) $ *CD25B*CSTL*F75B*SWC(5) ENDIF IF(WW(2).NE.9898) THEN WB(2,7)=-(PB(4)*BP(2,2)+PB(5)*BP(4,2)+PB(28)*BP(6,2) $ +PB(88)*BP(3,2) $ )*SSTL*F7B $ -(PB(12)*BP(3,2)) $ *CD25B*SSTL*F75B*SWC(5) $ + (PB(7)*BP(2,2)+PB(8)*BP(4,2)+PB(29)*BP(6,2) $ +PB(89)*BP(3,2) $ )*CSTL*F7B $ +(PB(13)*BP(3,2)) $ *CD25B*CSTL*F75B*SWC(5) ENDIF F7C=1. F75C=1. IF(WW(1).NE.9898) THEN WC(1,7)=-(PC(4)*BP(3,2)+PC(5)*BP(5,2)+PC(28)*BP(7,2) $ +PC(88)*BP(2,2) $ )*SSTL*F7C $ -(PC(12)*BP(2,2)) $ *CD25B*SSTL $ *F75C*SWC(5) $ +(PC(7)*BP(3,2)+PC(8)*BP(5,2)+PC(29)*BP(7,2) $ +PC(89)*BP(2,2) $ )*CSTL*F7C $ +(PC(13)*BP(2,2)) $ *CD25B*CSTL $ *F75C*SWC(5) ENDIF IF(WW(2).NE.9898) THEN WC(2,7)=-(PC(7)*BT(3,2)+PC(8)*BT(5,2)+PC(29)*BT(7,2) $ +PC(89)*BT(2,2) $ )*SSTL*F7C $ -(PC(13)*BT(2,2)) $ *CD25B*SSTL $ *F75C*SWC(5) $ -(PC(4)*BT(3,2)+PC(5)*BT(5,2)+PC(28)*BT(7,2) $ +PC(88)*BT(2,2) $ )*CSTL*F7C $ -(PC(12)*BT(2,2)) $ *CD25B*CSTL $ *F75C*SWC(5) ENDIF 200 CONTINUE C SEMIDIURNAL IF(SW(8).EQ.0) GOTO 210 F8B=1. IF(WW(1).NE.9898) THEN WB(1,8)=(PB(9)*BT(3,3)+PB(43)*BT(5,3)+PB(35)*BT(7,3) $ +PB(98)*BT(4,3) $ +(PB(34)*BT(4,3))*CD26B*SWC(5) $ +(PB(37)*BT(4,3))*CD19B*SWC(6) $ )*S2STL*F8B $ +(PB(6)*BT(3,3)+PB(42)*BT(5,3)+PB(33)*BT(7,3) $ +PB(96)*BT(4,3) $ +(PB(24)*BT(4,3))*CD26B*SWC(5) $ +(PB(36)*BT(4,3))*CD19B*SWC(6) $ )*C2STL*F8B ENDIF IF(WW(2).NE.9898) THEN WB(2,8)=-(PB(6)*BP(3,3)+PB(42)*BP(5,3)+PB(33)*BP(7,3) $ +PB(96)*BP(4,3) $ +(PB(24)*BP(4,3))*CD26B*SWC(5) $ +(PB(36)*BP(4,3))*CD19B*SWC(6) $ )*S2STL*F8B $ + (PB(9)*BP(3,3)+PB(43)*BP(5,3)+PB(35)*BP(7,3) $ +PB(98)*BP(4,3) $ +(PB(34)*BP(4,3))*CD26B*SWC(5) $ +(PB(37)*BP(4,3))*CD19B*SWC(6) $ )*C2STL*F8B ENDIF F8C=1. IF(WW(1).NE.9898) THEN WC(1,8)=-(PC(6)*BP(4,3)+PC(42)*BP(6,3)+PC(33)*BP(8,3) $ +PC(96)*BP(3,3) $ +(PC(24)*BP(3,3))*CD26B*SWC(5) $ +(PC(36)*BP(3,3))*CD19B*SWC(6) $ )*S2STL*F8C $ +(PC(9)*BP(4,3)+PC(43)*BP(6,3)+PC(35)*BP(8,3) $ +PC(98)*BP(3,3) $ +(PC(34)*BP(3,3))*CD26B*SWC(5) $ +(PC(37)*BP(3,3))*CD19B*SWC(6) $ )*C2STL*F8C ENDIF IF(WW(2).NE.9898) THEN WC(2,8)=-(PC(9)*BT(4,3)+PC(43)*BT(6,3)+PC(35)*BT(8,3) $ +PC(98)*BT(3,3) $ +(PC(34)*BT(3,3))*CD26B*SWC(5) $ +(PC(37)*BT(3,3))*CD19B*SWC(6) $ )*S2STL*F8C $ - (PC(6)*BT(4,3)+PC(42)*BT(6,3)+PC(33)*BT(8,3) $ +PC(96)*BT(3,3) $ +(PC(24)*BT(3,3))*CD26B*SWC(5) $ +(PC(36)*BT(3,3))*CD19B*SWC(6) $ )*C2STL*F8C ENDIF 210 CONTINUE C LONGITUDINAL IF(SW(10).EQ.0.OR.SW(11).EQ.0) GOTO 230 IF(WW(1).NE.9898) THEN WC(1,11)= $ - (PC(65)*BP(2,2)+PC(66)*BP(4,2)+PC(67)*BP(6,2) $ +PC(75)*BP(3,2)+PC(76)*BP(5,2)+ PC(77)*BP(7,2) $ +(PC(57)*BP(2,2)+PC(59)*BP(4,2)+PC(62)*BP(6,2) $ +PC(51)*BP(3,2)+PC(53)*BP(5,2)+PC(55)*BP(7,2)) $ *CD64C*SWC(3) $ +(PC(74)*BP(2,2)+PC(82)*BP(4,2)+PC(85)*BP(6,2) $ +PC(68)*BP(3,2)+PC(70)*BP(5,2)+PC(72)*BP(7,2)) $ *CD87C*SWC(4) $ )*SLONG $ + (PC(91)*BP(2,2)+PC(92)*BP(4,2)+PC(93)*BP(6,2) $ +PC(78)*BP(3,2)+PC(79)*BP(5,2)+PC(80)*BP(7,2) $ +(PC(58)*BP(2,2)+PC(61)*BP(4,2)+PC(63)*BP(6,2) $ +PC(52)*BP(3,2)+PC(54)*BP(5,2)+PC(56)*BP(7,2)) $ *CD64C*SWC(3) $ +(PC(81)*BP(2,2)+PC(84)*BP(4,2)+PC(86)*BP(6,2) $ +PC(69)*BP(3,2)+PC(71)*BP(5,2)+PC(73)*BP(7,2)) $ *CD87C*SWC(4) $ )*CLONG ENDIF IF(WW(2).NE.9898) THEN WC(2,11)= $ - (PC(91)*BT(2,2)+PC(92)*BT(4,2)+PC(93)*BT(6,2) $ +PC(78)*BT(3,2)+PC(79)*BT(5,2)+PC(80)*BT(7,2) $ +(PC(58)*BT(2,2)+PC(61)*BT(4,2)+PC(63)*BT(6,2) $ +PC(52)*BT(3,2)+PC(54)*BT(5,2)+PC(56)*BT(7,2)) $ *CD64C*SWC(3) $ +(PC(81)*BT(2,2)+PC(84)*BT(4,2)+PC(86)*BT(6,2) $ +PC(69)*BT(3,2)+PC(71)*BT(5,2)+PC(73)*BT(7,2)) $ *CD87C*SWC(4) $ )*SLONG $ - (PC(65)*BT(2,2)+PC(66)*BT(4,2)+PC(67)*BT(6,2) $ +PC(75)*BT(3,2)+PC(76)*BT(5,2)+PC(77)*BT(7,2) $ +(PC(57)*BT(2,2)+PC(59)*BT(4,2)+PC(62)*BT(6,2) $ +PC(51)*BT(3,2)+PC(53)*BT(5,2)+PC(55)*BT(7,2)) $ *CD64C*SWC(3) $ +(PC(74)*BT(2,2)+PC(82)*BT(4,2)+PC(85)*BT(6,2) $ +PC(68)*BT(3,2)+PC(70)*BT(5,2)+PC(72)*BT(7,2)) $ *CD87C*SWC(4) $ )*CLONG ENDIF 230 CONTINUE WBT(1)=0 WBT(2)=0 WCT(1)=0 WCT(2)=0 C SUM WINDS AND CHANGE MERIDIONAL SIGN TO + NORTH DO 50 K=1,NSW WBT(1)=WBT(1)-ABS(SW(K))*WB(1,K) WCT(1)=WCT(1)-ABS(SW(K))*WC(1,K) WBT(2)=WBT(2)+ABS(SW(K))*WB(2,K) WCT(2)=WCT(2)+ABS(SW(K))*WC(2,K) 50 CONTINUE IF(WW(1).NE.9898) WW(1)=WBT(1)*SW(24)+WCT(1)*SW(25) IF(WW(2).NE.9898) WW(2)=WBT(2)*SW(24)+WCT(2)*SW(25) RETURN END C----------------------------------------------------------------------- SUBROUTINE TSELEC(SV) C SET SWITCHES C SW FOR MAIN TERMS, SWC FOR CROSS TERMS DIMENSION SV(1),SAV(25),SVV(1) COMMON/CSW/SW(25),ISW,SWC(25) DO 100 I = 1,25 SAV(I)=SV(I) SW(I)=AMOD(SV(I),2.) IF(ABS(SV(I)).EQ.1.OR.ABS(SV(I)).EQ.2.) THEN SWC(I)=1. ELSE SWC(I)=0. ENDIF 100 CONTINUE ISW=64999 RETURN ENTRY TRETRV(SVV) DO 200 I=1,25 SVV(I)=SAV(I) 200 CONTINUE END C----------------------------------------------------------------------- SUBROUTINE VSPHR1(C,S,L,M,BT,BP,LMAX) C CALCULATE VECTOR SPHERICAL HARMONIC B FIELD THETA AND PHI C FUNCTIONS BT,BP THROUGH ORDER L,M FOR COLATITUDE (THETA) C WITH COSINE C AND SINE S OF COLATITUDE C BT(L+1,M+1)= [(L-M+1) P(L+1,M) - (L+1) P(L,M) COS(THETA)] / C [SQRT(L(L+1)) SIN(THETA)] C BP(L+1,M+1)= M P(L,M) /[SQRT(L(L+1)) SIN(THETA)] C RESULT FOR GIVEN L,M SAVED IN BT AND BP AT ONE HIGHER INDEX NUM DIMENSION BT(LMAX,1),BP(LMAX,1),PLG(20,20) SAVE DATA DGTR/1.74533E-2/ IF(M.GT.L.OR.L.GT.LMAX-1) THEN WRITE(6,100) L,M,LMAX 100 FORMAT('ILLEGAL INDICES TO VSPHER',3I6) RETURN ENDIF BT(1,1)=0 BP(1,1)=0 IF(L.EQ.0.AND.M.EQ.0) RETURN CALL LEGPL1(C,S,L+1,M,PLG,20) IF(ABS(S).LT.1.E-5) THEN IC=SIGN(1.,S) S=0 ENDIF DO 20 LL=1,L SQT=SQRT(FLOAT(LL)*(FLOAT(LL)+1)) LMX=MIN(LL,M) DO 15 MM=0,LMX IF(S.EQ.0) THEN IF(MM.NE.1) THEN BT(LL+1,MM+1)=0 BP(LL+1,MM+1)=0 ELSE BT(LL+1,MM+1)=(LL*(LL+1)*(LL+2)*.5*(IC)**(LL+2) $ -(LL+1)*C*LL*(LL+1)*.5*(IC)**(LL+1))/SQT BP(LL+1,MM+1)=MM*LL*(LL+1)*.5*(IC)**(LL+1)/SQT ENDIF ELSE BT(LL+1,MM+1)=((LL-MM+1)*PLG(LL+2,MM+1) $ -(LL+1)*C*PLG(LL+1,MM+1))/(S*SQT) BP(LL+1,MM+1)=MM*PLG(LL+1,MM+1)/(S*SQT) ENDIF 15 CONTINUE 20 CONTINUE END C----------------------------------------------------------------------- SUBROUTINE LEGPL1(C,S,L,M,PLG,LMAX) C CALCULATE LEGENDRE POLYNOMIALS PLG(L+1,M+1) THROUGH ORDER L,M C FOR COSINE C AND SINE S OF COLATITUDE DIMENSION PLG(LMAX,1) SAVE DATA DGTR/1.74533E-2/ IF(M.GT.L.OR.L.GT.LMAX-1) THEN WRITE(6,99) L,M,LMAX 99 FORMAT(1X,'ILLEGAL INDICES TO LEGPOL',3I5) RETURN ENDIF PLG(1,1)=1. IF(L.EQ.0.AND.M.EQ.0) RETURN C CALCULATE L=M CASE AND L=M+1 DO 10 MM=0,M IF(MM.GT.0) PLG(MM+1,MM+1)=PLG(MM,MM)*(2.*MM-1.)*S IF(L.GT.MM) PLG(MM+2,MM+1)=PLG(MM+1,MM+1)*(2.*MM+1)*C 10 CONTINUE IF(L.EQ.1) RETURN MMX=MIN(M,L-2) DO 30 MM=0,MMX DO 20 LL=MM+2,L PLG(LL+1,MM+1)=((2.*LL-1.)*C*PLG(LL,MM+1)- $ (LL+MM-1.)*PLG(LL-1,MM+1))/(LL-MM) 20 CONTINUE 30 CONTINUE RETURN END C----------------------------------------------------------------------- SUBROUTINE SPLINE(X,Y,N,YP1,YPN,Y2) C CALCULATE 2ND DERIVATIVES OF CUBIC SPLINE INTERP FUNCTION C X,Y: ARRAYS OF TABULATED FUNCTION IN ASCENDING ORDER BY X C N: SIZE OF ARRAYS X,Y C YP1,YPN: SPECIFIED DERIVATIVES AT X(1) AND X(N); VALUES C >= 1E30 SIGNAL SIGNAL SECOND DERIVATIVE ZERO C Y2: OUTPUT ARRAY OF SECOND DERIVATIVES PARAMETER (NMAX=100) DIMENSION X(N),Y(N),Y2(N),U(NMAX) SAVE IF(YP1.GT..99E30) THEN Y2(1)=0 U(1)=0 ELSE Y2(1)=-.5 U(1)=(3./(X(2)-X(1)))*((Y(2)-Y(1))/(X(2)-X(1))-YP1) ENDIF DO 11 I=2,N-1 SIG=(X(I)-X(I-1))/(X(I+1)-X(I-1)) P=SIG*Y2(I-1)+2. Y2(I)=(SIG-1.)/P U(I)=(6.*((Y(I+1)-Y(I))/(X(I+1)-X(I))-(Y(I)-Y(I-1)) $ /(X(I)-X(I-1)))/(X(I+1)-X(I-1))-SIG*U(I-1))/P 11 CONTINUE IF(YPN.GT..99E30) THEN QN=0 UN=0 ELSE QN=.5 UN=(3./(X(N)-X(N-1)))*(YPN-(Y(N)-Y(N-1))/(X(N)-X(N-1))) ENDIF Y2(N)=(UN-QN*U(N-1))/(QN*Y2(N-1)+1.) DO 12 K=N-1,1,-1 Y2(K)=Y2(K)*Y2(K+1)+U(K) 12 CONTINUE RETURN END C----------------------------------------------------------------------- SUBROUTINE SPLINT(XA,YA,Y2A,N,X,Y) C CALCULATE CUBIC SPLINE INTERP VALUE C XA,YA: ARRAYS OF TABULATED FUNCTION IN ASCENDING ORDER BY X C Y2A: ARRAY OF SECOND DERIVATIVES C N: SIZE OF ARRAYS XA,YA,Y2A C X: ABSCISSA FOR INTERPOLATION C Y: OUTPUT VALUE DIMENSION XA(N),YA(N),Y2A(N) SAVE KLO=1 KHI=N 1 CONTINUE IF(KHI-KLO.GT.1) THEN K=(KHI+KLO)/2 IF(XA(K).GT.X) THEN KHI=K ELSE KLO=K ENDIF GOTO 1 ENDIF H=XA(KHI)-XA(KLO) IF(H.EQ.0) WRITE(6,*) 'BAD XA INPUT TO SPLINT' A=(XA(KHI)-X)/H B=(X-XA(KLO))/H Y=A*YA(KLO)+B*YA(KHI)+ $ ((A*A*A-A)*Y2A(KLO)+(B*B*B-B)*Y2A(KHI))*H*H/6. RETURN END C----------------------------------------------------------------------- BLOCK DATA INITW5 C For wind model GWS COMMON/CSW/SW(25),ISW,SWC(25) COMMON/VPOLY2/XVL,LVL,MVL,CLAT,SLAT,BT(20,20),BP(20,20) COMMON/LTCOMP/TLL,NSVL,CSTL,SSTL,C2STL,S2STL,C3STL,S3STL COMMON/LGCOMP/XLL,NGVL,CLONG,SLONG,C2LONG,S2LONG DATA ISW/0/ DATA XVL/-999./,LVL/-1/,MVL/-1/ DATA TLL/-999./,NSVL/-1/ DATA XLL/-999./,NGVL/-1/ END C----------------------------------------------------------------------- BLOCK DATA GWSBK5 C HWM93 28-JAN-93 COMMON/PARMW5/PBA1(50),PBA2(50),PBA3(50),PBA4(50), $PCA1(50),PCA2(50),PCA3(50),PCA4(50), $PBB1(50),PBB2(50),PBB3(50),PCB1(50),PCB2(50),PCB3(50), $PBC1(50),PBC2(50),PBC3(50),PCC1(50),PCC2(50),PCC3(50), $PBD1(50),PBD2(50),PBD3(50),PCD1(50),PCD2(50),PCD3(50), $PBE1(50),PBE2(50),PBE3(50),PCE1(50),PCE2(50),PCE3(50), $PBF1(50),PBF2(50),PBF3(50),PCF1(50),PCF2(50),PCF3(50), $PBG1(50),PBG2(50),PBG3(50),PCG1(50),PCG2(50),PCG3(50), $PBH1(50),PBH2(50),PBH3(50),PCH1(50),PCH2(50),PCH3(50), $PBI1(50),PBI2(50),PCI1(50),PCI2(50),PBJ1(50),PBJ2(50), $PCJ1(50),PCJ2(50),PBK1(50),PBK2(50),PCK1(50),PCK2(50), $PBL1(50),PBL2(50),PCL1(50),PCL2(50),PBM1(50),PBM2(50), $PCM1(50),PCM2(50),PBN1(50),PBN2(50),PCN1(50),PCN2(50), $PBO1(50),PBO2(50),PCO1(50),PCO2(50),PBP1(50),PBP2(50), $PCP1(50),PCP2(50),PBQ1(50),PBQ2(50),PCQ1(50),PCQ2(50), $PBR1(50),PBR2(50),PCR1(50),PCR2(50),PBS1(50),PBS2(50), $PCS1(50),PCS2(50),PBT1(50),PBT2(50),PCT1(50),PCT2(50), $PBU1(50),PBU2(50),PCU1(50),PCU2(50) COMMON/DATW/ISDATE(3),ISTIME(2),NAME(2) CHARACTER*4 :: ISDATE,ISTIME,NAME DATA ISDATE/'28-J','AN-9','3 '/,ISTIME/'20:3','5:39'/ DATA NAME/'HWM9','3 '/ C WINF DATA PBA1/ * 0.00000E+00,-1.31640E+01,-1.52352E+01, 1.00718E+02, 3.94962E+00, * 2.19452E-01, 8.03296E+01,-1.02032E+00,-2.02149E-01, 5.67263E+01, * 0.00000E+00,-6.05459E+00, 6.68106E+00,-8.49486E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 8.39399E+01, 0.00000E+00, 9.96285E-02, * 0.00000E+00,-2.66243E-02, 0.00000E+00,-1.32373E+00, 1.39396E-02, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 3.36523E+01,-7.42795E-01,-3.89352E+00,-7.81354E-01, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 3.76631E+00,-1.22024E+00, * -5.47580E-01, 1.09146E+00, 9.06245E-01, 2.21119E-02, 0.00000E+00, * 7.73919E-02, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00/ DATA PBA2/ * -3.82415E-01, 0.00000E+00, 1.76202E-01, 0.00000E+00,-6.77651E-01, * 1.10357E+00, 2.25732E+00, 0.00000E+00, 1.54237E+04, 0.00000E+00, * 1.27411E-01,-2.84314E-03, 4.62562E-01,-5.34596E+01,-7.23808E+00, * 0.00000E+00, 0.00000E+00, 4.52770E-01,-8.50922E+00,-2.85389E-01, * 2.12000E+01, 6.80171E+02, 0.00000E+00, 0.00000E+00, 0.00000E+00, * -2.72552E+04, 0.00000E+00, 0.00000E+00, 0.00000E+00, 2.64109E+03, * 0.00000E+00, 0.00000E+00, 0.00000E+00,-1.47320E+00,-2.98179E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 1.05412E-02, * 4.93452E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 7.98332E-02,-5.30954E+01, 2.10211E-02, 3.00000E+00/ DATA PBA3/ * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00,-2.79843E-01, * 1.81152E-01, 0.00000E+00, 0.00000E+00,-6.24673E-02,-5.37589E-02, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00,-8.94418E-02, 3.70413E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00,-4.84645E+00, * 4.24178E-01, 0.00000E+00, 0.00000E+00, 1.86494E-01,-9.56931E-02/ DATA PBA4/ * 2.08426E+00, 1.53714E+00,-2.87496E-01, 4.06380E-01,-3.59788E-01, * -1.87814E-01, 0.00000E+00, 0.00000E+00, 2.01362E-01,-1.21604E-01, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 7.86304E+00, * 2.51878E+00, 2.91455E+00, 4.32308E+00, 6.77054E-02,-2.39125E-01, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 1.57976E+00,-5.44598E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * -5.30593E-01,-5.02237E-01,-2.05258E-01, 2.62263E-01,-2.50195E-01, * 4.28151E-01, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00/ C WINF DATA PCA1/ * 0.00000E+00, 1.31026E+01,-4.93171E+01, 2.51045E+01,-1.30531E+01, * 6.56421E-01, 2.75633E+01, 4.36433E+00, 1.04638E+00, 5.77365E+01, * 0.00000E+00,-6.27766E+00, 2.33010E+00,-1.41351E+01, 2.49653E-01, * 0.00000E+00, 0.00000E+00, 8.00000E+01, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 1.03817E-02,-1.70950E+01,-1.92295E+00, 0.00000E+00, * 0.00000E+00,-1.17490E+01,-7.14788E-01, 6.72649E+00, 0.00000E+00, * 0.00000E+00,-1.57793E+02,-1.70815E+00,-7.92416E+00,-1.67372E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 1.87973E-01, * -1.61602E-01,-1.13832E-01,-7.22447E-01, 2.21119E-02, 0.00000E+00, * -3.01967E+00,-1.72798E-01,-5.15055E-03,-1.23477E-02, 3.60805E-03/ DATA PCA2/ * -1.36730E+00, 0.00000E+00, 1.24390E-02, 0.00000E+00,-1.36577E+00, * 3.18101E-02, 0.00000E+00, 0.00000E+00, 0.00000E+00,-1.39334E+01, * 1.42088E-02, 0.00000E+00, 0.00000E+00, 0.00000E+00,-4.72219E+00, * -7.47970E+00,-4.96528E+00, 0.00000E+00, 1.24712E+00,-2.56833E+01, * -4.26630E+01, 3.92431E+04,-2.57155E+00,-4.35589E-02, 0.00000E+00, * 0.00000E+00, 2.02425E+00,-1.48131E+00,-7.72242E-01, 2.99008E+04, * 4.50148E-03, 5.29718E-03,-1.26697E-02, 3.20909E-02, 0.00000E+00, * 0.00000E+00, 7.01739E+00, 3.11204E+00, 0.00000E+00, 0.00000E+00, * -2.13088E+00, 1.32789E+01, 5.07958E+00, 7.26537E-02, 2.87495E-01, * 9.97311E-03,-2.56440E+00, 0.00000E+00, 0.00000E+00, 3.00000E+00/ DATA PCA3/ * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00,-9.90073E-03,-3.27333E-02, * -4.30379E+01,-2.87643E+01,-5.91793E+00,-1.50460E+02, 0.00000E+00, * 0.00000E+00, 6.55038E-03, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 6.18051E-03, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 1.40484E+00, 5.54554E+00, 0.00000E+00, 0.00000E+00, 7.93810E+00, * 1.57192E+00, 1.03971E+00, 9.88279E-01,-4.37662E-02,-2.15763E-02/ DATA PCA4/ * -2.31583E+00, 4.32633E+00,-1.12716E+00, 3.38459E-01, 4.66956E-01, * 7.18403E-01, 5.80836E-02, 4.12653E-01, 1.04111E-01,-8.30672E-02, * -5.55541E+00,-4.97473E+00,-2.03007E+01, 0.00000E+00,-6.06235E-01, * -1.73121E-01, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 9.29850E-02,-6.38131E-02, * 3.93037E-02, 5.21942E-02, 2.26578E-02, 4.13157E-02, 0.00000E+00, * 6.28524E+00, 4.43721E+00,-4.31270E+00, 2.32787E+00, 2.55591E-01, * 1.60098E+00,-1.20649E+00, 3.05042E+00,-1.88944E+00, 5.35561E+00, * 2.02391E-01, 4.62950E-02, 3.39155E-01, 7.94007E-02, 6.30345E-01, * 1.93554E-01, 3.93238E-01, 1.76254E-01,-2.51359E-01,-7.06879E-01/ C UGN1(1) DATA PBB1/ * 6.22831E-01, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 5.90566E+00, 0.00000E+00, 0.00000E+00,-3.20571E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00,-8.30368E-01, 1.39396E-02, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 2.40657E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00,-4.80790E+00,-1.62744E+00, 2.21119E-02, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00/ DATA PBB2/ * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 4.00000E+00/ DATA PBB3/ * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 2.10531E-01, * -8.94829E-01, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00/ C UGN1(1) DATA PCB1/ * 5.45009E-01, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * -3.60304E+00, 0.00000E+00, 0.00000E+00,-5.04071E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 5.62113E-01, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 1.14657E+01, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 4.65483E-01, 1.73636E+00, 2.21119E-02, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00/ DATA PCB2/ * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 4.00000E+00/ DATA PCB3/ * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00,-8.30769E-01, * 7.73649E-01, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00/ C UN1(1) DATA PBC1/ * 6.09940E-01, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 1.39396E-02, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 2.21119E-02, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00/ DATA PBC2/ * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 4.00000E+00/ DATA PBC3/ * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00/ C UN1(1) DATA PCC1/ * 5.46739E-01, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 2.21119E-02, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00/ DATA PCC2/ * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 4.00000E+00/ DATA PCC3/ * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00/ C UN1(2) DATA PBD1/ * 4.99007E-01, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 2.59994E+00, 0.00000E+00, 0.00000E+00,-1.78418E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00,-5.24986E+00, 1.39396E-02, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 2.77918E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 2.21119E-02, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00/ DATA PBD2/ * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 4.00000E+00/ DATA PBD3/ * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 5.68996E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00/ C UN1(2) DATA PCD1/ * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * -7.26156E+00, 0.00000E+00, 0.00000E+00,-4.12416E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00,-2.88934E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 3.65720E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 2.21119E-02, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00/ DATA PCD2/ * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 4.00000E+00/ DATA PCD3/ * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 2.01835E-01, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00/ C UN1(3) DATA PBE1/ * 0.00000E+00,-1.37217E+01, 0.00000E+00, 2.38712E-01,-3.92230E+00, * 6.11035E+00,-1.57794E+00,-5.87709E-01, 1.21178E+01, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 5.23202E+01, 0.00000E+00, * 0.00000E+00, 0.00000E+00,-2.22836E+03, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00,-3.94006E+00, 1.39396E-02, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 3.99844E-01, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00,-1.38936E+00, 2.22534E+00, 2.21119E-02, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00/ DATA PBE2/ * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 4.00000E+00/ DATA PBE3/ * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 4.35518E-01, 8.40051E-01, 0.00000E+00,-8.88181E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 6.81729E-01, 9.67536E-01, * 0.00000E+00,-9.67836E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00/ C UN1(3) DATA PCE1/ * 0.00000E+00,-2.75655E+01,-6.61134E+00, 4.85118E+00, 8.15375E-01, * -2.62856E+00, 2.99508E-02,-2.00532E-01,-9.35618E+00, 1.17196E+01, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00,-2.43848E+00, 1.90065E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00,-3.37525E-01, 1.76471E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00/ DATA PCE2/ * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 4.00000E+00/ DATA PCE3/ * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00,-9.23682E-01,-8.84150E-02, 0.00000E+00,-9.88578E-01, * 0.00000E+00, 0.00000E+00, 0.00000E+00,-1.00747E+00,-1.07468E-02, * 0.00000E+00,-3.66376E-01, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00/ C UN1(4) DATA PBF1/ * 0.00000E+00, 1.02709E+01, 0.00000E+00,-1.42016E+00,-4.90438E+00, * -9.11544E+00,-3.80570E+00,-2.09013E+00, 1.32939E+01,-1.28062E+01, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 1.23024E+01, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 3.92126E+02, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 1.39396E-02, * 0.00000E+00, 0.00000E+00,-5.56532E+00,-1.27046E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00,-3.03553E+00,-9.09832E-01, 2.21119E-02, 0.00000E+00, * 8.89965E-01, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00/ DATA PBF2/ * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 9.19210E-01, 0.00000E+00, 0.00000E+00, 4.00000E+00/ DATA PBF3/ * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00,-2.46693E-01, 7.44650E-02, 3.84661E-01, 9.44052E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00,-2.25083E-01, 1.54206E-01, * 4.41303E-01, 8.74742E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00/ C UN1(4) DATA PCF1/ * 0.00000E+00, 3.61143E+00,-8.24679E+00, 1.70751E+00, 1.16676E+00, * 6.24821E+00,-5.68968E-01, 8.53046E-01,-6.94168E+00, 1.04152E+01, * -3.70861E+01, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00,-1.23336E+01, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 5.33958E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00,-6.43682E-01,-1.00000E+00, 0.00000E+00, * 0.00000E+00,-1.00000E+00, 0.00000E+00,-5.47300E-01, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00,-8.58764E-01, 4.72310E-01, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00/ DATA PCF2/ * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 4.00000E+00/ DATA PCF3/ * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 3.37325E-01,-3.57698E-02,-6.97393E-01, 1.35387E+01, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 2.78162E-01,-2.33383E-01, * -7.12994E-01, 1.29234E+01, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00/ C UN1(5) DATA PBG1/ * 0.00000E+00,-1.71856E+00, 5.32877E+00, 5.33548E-01,-2.66034E+00, * 6.76192E-01, 2.25618E+00,-5.78954E-01,-2.69685E+00, 1.21933E+00, * -6.13650E+00, 7.79531E-01, 1.63652E+00, 3.63835E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 7.51539E+00,-5.27337E-01, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 1.06625E-01, 1.39396E-02, * 0.00000E+00, 0.00000E+00,-1.07240E+00,-8.31257E-01, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 7.04016E-01, 0.00000E+00, * 7.56158E-01,-4.21268E-02, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 1.02843E+00, 5.21034E-01, 2.21119E-02, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00/ DATA PBG2/ * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 4.12504E+00, 1.08459E-01, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * -3.16261E-01, 0.00000E+00,-1.44288E-01, 0.00000E+00, 4.00000E+00/ DATA PBG3/ * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00,-2.36181E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00/ C UN1(5) DATA PCG1/ * 0.00000E+00, 3.47155E+00, 1.76102E+01, 2.80371E+00,-2.08556E+00, * 1.10473E+00, 6.74582E+00,-5.75988E-01, 1.02708E+00,-2.23381E+01, * 8.60171E+00, 5.12046E-01,-8.12861E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 9.11036E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 3.89742E+00, 2.01725E-01, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 5.06308E-01, 2.04596E-01, 0.00000E+00, * 4.40377E+00, 0.00000E+00, 0.00000E+00, 2.20760E+00, 0.00000E+00, * -1.36478E+00, 2.38097E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00,-7.08949E-02,-1.61277E-01, 2.21119E-02, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00/ DATA PCG2/ * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00,-2.16898E+00,-5.31596E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 2.53060E+00, 0.00000E+00,-7.17287E-01, 0.00000E+00, 4.00000E+00/ DATA PCG3/ * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00,-1.91762E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00/ C UGN1(2 DATA PBH1/ * 0.00000E+00,-7.70936E-01, 1.58158E+00, 3.61790E+00,-1.51748E+00, * -5.66098E-01, 1.69393E+00,-4.60489E-01,-8.31527E-01,-4.66437E-01, * -1.21750E+00, 0.00000E+00, 0.00000E+00, 1.56505E+02, 0.00000E+00, * 0.00000E+00, 0.00000E+00,-5.19321E+01, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 1.39396E-02, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 3.09223E-01, 1.33715E-01, 2.21119E-02, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00/ DATA PBH2/ * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 4.00000E+00/ DATA PBH3/ * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00/ C UGN1(2) DATA PCH1/ * 0.00000E+00, 1.72324E-01, 3.08033E-01, 4.55771E-01, 1.46516E-01, * 1.97176E-01,-1.53329E-01, 6.91877E-02,-3.07184E-01, 2.65686E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00,-2.24369E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 4.04079E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 4.99627E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00,-7.83317E-03,-6.88967E-02, 2.21119E-02, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00/ DATA PCH2/ * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 4.00000E+00/ DATA PCH3/ * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00/ C UN2(2) DATA PBI1/ * 0.00000E+00,-7.99767E-01,-3.24774E-01, 7.70975E-01, 6.71796E-01, * 5.65483E-01,-2.99727E+00, 3.32448E+00,-9.15018E-01, 5.97656E+00, * 0.00000E+00,-1.19515E+00,-8.30457E-01, 3.26074E+00, 0.00000E+00, * 0.00000E+00,-1.58365E+00, 7.44825E-02, 5.91372E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00,-1.41511E-01,-3.01048E+00, * 2.35960E+01, 0.00000E+00,-1.70352E+00,-2.39746E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 1.30488E+00, 0.00000E+00, * 5.95132E-01, 5.64301E-01, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 5.30317E-01, 5.66569E-01, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00/ DATA PBI2/ * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 5.72367E+00, 1.58411E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 1.04557E-01, 0.00000E+00,-2.04710E-01, 0.00000E+00, 5.00000E+00/ C UN2(2) DATA PCI1/ * 0.00000E+00, 6.34487E+00, 9.84162E+00, 3.42136E+00,-5.10607E+00, * -8.58745E-02, 3.11501E+00, 5.34570E-01, 1.18027E+00, 4.28027E+00, * 4.75123E+00, 6.40947E-01,-4.15165E+00,-1.38154E+01, 0.00000E+00, * 0.00000E+00, 1.13145E+01,-5.15954E+00, 0.00000E+00, 0.00000E+00, * 1.35576E+01, 0.00000E+00,-5.78982E+00,-2.22043E+00, 3.36776E+00, * 3.04791E+01, 0.00000E+00, 2.94709E+00,-4.17536E-01,-1.59855E+00, * -2.18320E+00, 1.68269E+01, 0.00000E+00, 1.00829E+00, 0.00000E+00, * -6.85096E-01, 2.07822E-01, 3.50168E-01,-3.03662E+01, 0.00000E+00, * 0.00000E+00,-1.65726E-01,-8.97831E-02, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00,-5.24159E+00, 0.00000E+00,-3.52218E+00/ DATA PCI2/ * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 5.69093E-01,-7.44918E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 2.10865E+00, 0.00000E+00, 1.76776E-01, 1.54755E+00, 5.00000E+00/ C UN2(3) DATA PBJ1/ * 0.00000E+00, 2.28657E+00, 4.96548E-01, 6.99915E+00,-2.31540E+00, * -1.82163E-01,-5.00779E-01, 3.18199E-01,-6.14645E-01, 6.34816E+00, * 0.00000E+00, 7.94635E-01,-5.55565E-01, 3.85494E+00, 0.00000E+00, * 0.00000E+00,-3.96109E+00, 1.90775E-01, 4.51396E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00,-5.04618E-01,-4.14385E+00, * 2.30244E+01, 0.00000E+00, 1.00689E+00, 5.75680E-02, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 8.56741E-01, 0.00000E+00, * 9.54921E-02, 5.56659E-01, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 1.38503E-01, 4.50415E-01, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00/ DATA PBJ2/ * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 2.22813E-01,-8.63549E-02, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 1.37970E-01, 0.00000E+00,-3.25612E-01, 0.00000E+00, 5.00000E+00/ C UN2(3) DATA PCJ1/ * 0.00000E+00, 5.07608E+00, 3.31479E+00, 3.01548E-01,-1.12100E+00, * -7.63711E-02, 2.29748E+00,-1.36699E+00, 7.53433E-01, 3.60702E+01, * -1.55266E+00, 1.47382E+00,-2.53895E+00,-1.47720E+01, 0.00000E+00, * 0.00000E+00, 1.11787E+01,-1.06256E+01, 0.00000E+00, 0.00000E+00, * 7.86391E+00, 0.00000E+00,-8.61020E+00,-1.59313E+00,-5.17013E+00, * 1.20468E+00, 0.00000E+00, 5.76509E-01, 9.96195E-01,-1.45539E+00, * -1.79950E+01, 8.76957E+00, 0.00000E+00,-1.22863E+00, 0.00000E+00, * -6.19019E-01,-1.09571E-01,-4.31325E-02,-4.21981E+01, 0.00000E+00, * 0.00000E+00,-1.51519E-01,-1.24067E-01, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00,-6.39248E+00, 0.00000E+00, 6.64508E-01/ DATA PCJ2/ * -7.33184E-01,-9.72031E-03, 1.36789E+00,-8.62311E-01,-3.06395E-03, * 2.53354E-01,-2.40918E-01,-4.06932E-02,-5.82223E-01, 0.00000E+00, * -8.70285E-01, 7.72318E-01,-6.54213E-01,-2.19231E+01,-1.56509E-01, * 2.71745E-01, 5.93538E-01, 2.27757E-01,-5.98215E-01, 3.96457E-01, * 2.98705E-01, 1.78618E-01,-5.24538E-01, 1.16439E-01, 7.56829E-02, * -4.26809E-01, 5.77187E-01, 8.65450E-01,-7.53614E-01, 1.38381E-01, * -1.82265E-01, 2.85263E-01, 4.51322E-01, 1.02775E-01, 3.55731E-01, * -4.60896E-01,-3.13037E+01,-2.70818E+00,-7.84847E-01, 0.00000E+00, * -1.03473E-01,-3.87649E-01,-1.22613E-01, 0.00000E+00, 0.00000E+00, * 8.91325E-01, 0.00000E+00, 1.06189E-01, 9.13030E-02, 5.00000E+00/ C UN2(4) DATA PBK1/ * 0.00000E+00, 2.94921E+00, 2.79238E+00, 2.58949E+00, 3.56459E-01, * 3.12952E-01, 3.34337E+00,-2.83209E+00,-1.05979E+00, 3.92313E+00, * 0.00000E+00, 1.73703E-01,-3.23441E-01, 4.15836E+00, 0.00000E+00, * 0.00000E+00,-1.77156E+00, 6.44113E-01, 1.88743E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00,-4.64778E-01,-4.23560E+00, * 2.27271E+01, 0.00000E+00,-4.89468E-01, 1.82689E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 4.38217E-02, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 8.62449E-02, 4.46041E-01, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00/ DATA PBK2/ * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00,-1.40393E-01, 1.01821E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 5.00000E+00/ C UN2(4) DATA PCK1/ * 0.00000E+00, 6.04465E+00, 4.50924E+00, 3.84425E-02,-8.70772E-01, * -9.55408E-02, 2.28287E+00,-4.37834E-01, 3.57839E-01, 7.20721E+01, * -4.41757E+00,-9.13648E-01,-8.71866E-01,-6.26173E+00, 0.00000E+00, * 0.00000E+00, 5.92817E+00, 6.15853E+00, 0.00000E+00, 0.00000E+00, * -4.89060E+00, 0.00000E+00,-8.30378E+00, 1.07462E-01, 1.08471E+02, * 3.39150E+01,-4.57863E+00,-7.18349E-02,-2.71703E-01,-8.96297E+00, * -2.37986E+01, 4.11880E+00, 0.00000E+00,-9.95820E-01, 0.00000E+00, * 0.00000E+00, 0.00000E+00,-8.91622E+00,-6.85950E+01, 0.00000E+00, * 0.00000E+00,-3.62769E-02,-1.65893E-01, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00,-2.94563E+00, 0.00000E+00, 1.23581E+00/ DATA PCK2/ * -6.06026E-01,-6.50229E-01, 1.91330E+00,-1.00314E+00, 1.13346E-01, * 4.21885E-01,-3.97688E-01,-2.77437E-01,-6.65893E-01, 0.00000E+00, * -1.37646E+00, 1.35171E+00,-9.55595E-01,-1.96450E+01,-2.50039E-01, * 5.93389E-01, 9.87131E-01, 5.43559E-01,-1.04322E+00, 6.32546E-01, * 3.73259E-01, 5.22657E-01,-5.81400E-01,-1.26425E-01,-1.29843E-01, * -5.36598E-01, 8.02402E-01, 9.04347E-01,-1.10799E+00, 1.24800E-01, * 1.62487E-02, 2.84237E-01,-1.68866E+00, 5.07723E-01, 5.14161E-01, * -4.71292E-01,-3.03487E+01, 4.17455E-01,-1.12591E+00, 0.00000E+00, * -3.03544E-01,-6.60313E-01,-1.48606E-01, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 1.00607E+01, 5.00000E+00/ C UN2(5) DATA PBL1/ * 0.00000E+00, 2.52207E+00, 3.84550E+00, 1.68023E+00, 7.93489E-01, * 3.93725E-02,-2.79707E+00,-4.76621E-01,-1.19972E-01, 3.20454E-01, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 4.17146E+00, 0.00000E+00, * 0.00000E+00,-5.30699E-01, 9.14373E-01, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00,-4.84434E-02, 1.85902E-01, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00/ DATA PBL2/ * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 5.00000E+00/ C UN2(5) DATA PCL1/ * 0.00000E+00, 1.55386E+01, 4.21418E+00,-9.70151E-01,-8.77326E-01, * 2.65813E-02, 1.40164E+00,-9.03874E-01, 3.17281E-03, 9.26891E+01, * -4.96004E+00, 0.00000E+00, 0.00000E+00,-4.17851E+00, 0.00000E+00, * 0.00000E+00,-1.14760E+01, 2.67744E+00, 0.00000E+00, 0.00000E+00, * -1.60056E+01, 0.00000E+00,-7.14647E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00,-2.89639E+00, 0.00000E+00, 0.00000E+00,-3.88601E+00, * -1.65784E+01, 8.44796E-01, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00,-3.75324E+00,-6.24047E+01, 0.00000E+00, * 0.00000E+00,-2.86808E-02,-1.95891E-01, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00,-3.10534E-01, 0.00000E+00,-3.37448E+00/ DATA PCL2/ * 1.63964E-02,-1.45191E+00, 1.85618E+00,-9.61979E-01, 3.93783E-01, * 4.21681E-01,-5.30254E-01,-2.96232E-01,-7.55211E-01, 0.00000E+00, * -1.85443E+00, 1.88047E+00,-1.07818E+00,-1.35373E+01,-3.05785E-01, * 7.82159E-01, 1.32586E+00, 2.34413E-01,-7.47152E-01, 9.92893E-01, * -2.80110E-02, 3.61747E-01,-4.16280E-01,-3.46427E-01,-5.76431E-01, * -2.13906E-01, 9.51184E-01, 3.69403E-01,-1.35563E+00, 6.59534E-02, * 1.39764E-01, 4.50687E-01,-1.22025E+00, 5.73280E-02, 7.49303E-01, * -8.37947E-01,-3.01332E+01, 0.00000E+00, 0.00000E+00, 0.00000E+00, * -4.36697E-01,-7.76068E-01,-1.41680E-01, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 1.21958E+01, 5.00000E+00/ C UN2(6) DATA PBM1/ * 0.00000E+00, 3.13842E+00,-8.20417E-01, 3.72282E+00,-5.20477E-01, * -3.61867E-01,-2.92604E+00, 3.13013E-01,-1.38865E-01, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 1.30060E+01, 0.00000E+00, * 0.00000E+00, 1.67696E+00, 9.85990E-01, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00,-8.46922E-02, 5.59429E-03, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00/ DATA PBM2/ * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 5.00000E+00/ C UN2(6) DATA PCM1/ * 0.00000E+00, 1.78539E+01, 1.07314E+01,-1.13212E+00, 1.59867E-02, * 1.53736E-01, 2.25710E+00,-9.39080E-01,-9.72620E-02, 9.89789E+01, * -5.17469E+00, 0.00000E+00, 0.00000E+00,-2.98597E+00, 0.00000E+00, * 0.00000E+00,-2.04707E+01, 4.92899E+00, 0.00000E+00, 0.00000E+00, * -1.44316E+01, 0.00000E+00,-3.31557E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00,-6.22743E+00, 0.00000E+00, 0.00000E+00,-4.34344E+00, * -8.29640E+00,-3.03800E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 2.79387E+00,-5.23752E+01, 0.00000E+00, * 0.00000E+00,-2.59963E-02,-1.73426E-02, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00,-5.37220E+00, 0.00000E+00,-6.53478E-01/ DATA PCM2/ * 3.48181E-01,-1.88980E+00, 1.47787E+00,-7.92670E-01, 6.49224E-01, * 5.96079E-01,-1.04901E+00,-5.24003E-01,-6.77311E-01, 0.00000E+00, * -2.26873E+00, 2.80910E+00,-9.84994E-01,-6.79661E+00,-3.71975E-01, * 1.13310E+00, 1.57164E+00, 2.15176E-01,-5.58583E-01, 1.16045E+00, * 2.05395E-02, 2.27714E-01, 1.41203E-01,-3.92231E-01,-8.82859E-01, * 4.90400E-01, 1.14013E+00,-2.25250E-01,-1.64930E+00, 5.73434E-02, * 1.89857E-01, 4.31221E-01,-1.35345E+00,-2.94189E-01, 6.87530E-01, * -7.78284E-01,-2.88975E+01, 0.00000E+00, 0.00000E+00, 0.00000E+00, * -3.98115E-01,-7.40699E-01,-8.28264E-02, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 2.02069E+00, 5.00000E+00/ C UN2(7) DATA PBN1/ * 0.00000E+00, 2.08818E+00,-1.96235E+00, 4.55317E+00,-1.76012E+00, * -4.75258E-01,-1.44220E+00,-3.28566E-01,-1.41177E-01, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 1.49146E+01, 0.00000E+00, * 0.00000E+00, 1.73222E+00, 9.91286E-01, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00,-1.35468E-01, 1.91833E-02, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00/ DATA PBN2/ * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 5.00000E+00/ C UN2(7) DATA PCN1/ * 0.00000E+00, 1.25645E+01, 2.43937E+01,-4.89691E-01,-5.46437E-01, * 1.22200E-01, 2.89309E+00,-2.85509E-01,-2.27122E-01, 9.54192E+01, * -4.07394E+00, 0.00000E+00, 0.00000E+00,-3.04354E+00, 0.00000E+00, * 0.00000E+00,-2.36547E+01, 1.04903E+01, 0.00000E+00, 0.00000E+00, * -8.32274E+00, 0.00000E+00,-3.34712E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00,-7.95953E+00, 0.00000E+00, 0.00000E+00,-5.83474E+00, * -1.48074E+00, 1.02268E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 6.19470E+00,-3.90767E+01, 0.00000E+00, * 0.00000E+00,-3.58136E-03, 1.22289E-03, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00,-8.49787E+00, 0.00000E+00,-3.97498E+00/ DATA PCN2/ * 3.79580E-01,-1.93595E+00, 2.89114E+00,-4.73457E-01, 7.67548E-01, * 5.66859E-01,-1.28683E+00,-8.37174E-01,-3.48022E-01, 0.00000E+00, * -2.62865E+00, 3.50575E+00,-7.93257E-01,-8.10692E-01,-4.99450E-01, * 1.56654E+00, 1.63039E+00, 7.58900E-02,-4.30952E-01, 1.23068E+00, * 1.06404E-01, 4.73870E-02, 5.50559E-01,-4.11375E-01,-9.94162E-01, * 1.35025E+00, 1.26053E+00,-7.34502E-01,-2.01952E+00, 2.05398E-01, * -4.77248E-02, 2.41549E-01,-9.32522E-01,-5.63663E-01, 5.34833E-01, * -5.77563E-01,-2.65033E+01, 0.00000E+00, 0.00000E+00, 0.00000E+00, * -2.42317E-01,-7.33679E-01,-7.85537E-02, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 1.56842E-01, 5.00000E+00/ C UN2(8) DATA PBO1/ * 0.00000E+00, 7.00409E-01,-4.17017E-01, 3.24757E+00,-1.28352E+00, * -4.23875E-01, 1.64346E+00,-1.20855E+00,-7.65316E-01, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00,-3.39417E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 2.68534E+01, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00,-1.56444E-01,-4.60043E-02, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00/ DATA PBO2/ * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 5.00000E+00/ C UN2(8) DATA PCO1/ * 0.00000E+00, 7.30129E+00, 3.14811E+01,-7.06834E-02,-2.96193E-01, * 1.73817E-01, 1.62127E+00,-2.71556E-01,-2.05844E-01, 8.02088E+01, * -1.86956E-01, 0.00000E+00, 0.00000E+00,-9.43641E-01,-3.24716E+00, * 0.00000E+00,-2.32748E+01, 1.96724E+01, 0.00000E+00, 0.00000E+00, * -3.95949E+00, 0.00000E+00, 5.44787E-01, 0.00000E+00, 0.00000E+00, * 0.00000E+00,-1.00161E+01, 0.00000E+00, 0.00000E+00,-4.57422E+00, * 4.31304E+00, 1.49868E+01, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 5.99489E+00,-2.82120E+01, 0.00000E+00, * 0.00000E+00, 4.03624E-02, 1.19463E-01, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00,-1.39050E+01, 0.00000E+00,-2.65634E+00/ DATA PCO2/ * 6.37036E-01,-1.77461E+00, 3.03103E+00,-1.49839E-01, 7.02027E-01, * 6.08841E-01,-9.27289E-01,-8.52362E-01, 5.61723E-01, 0.00000E+00, * -2.72061E+00, 3.66183E+00,-2.54943E-01, 2.94668E+00,-3.57898E-01, * 1.71858E+00, 1.58782E+00,-2.42995E-01,-3.57783E-01, 1.20157E+00, * 2.58895E-01,-1.05773E-01, 5.79397E-01,-3.30395E-01,-4.03569E-01, * 1.99175E+00, 1.21688E+00,-8.64350E-01,-1.95569E+00, 4.61136E-01, * -8.61382E-02, 3.38859E-01, 0.00000E+00,-5.78864E-01, 4.46659E-01, * -4.57428E-01,-1.99920E+01, 0.00000E+00, 0.00000E+00, 0.00000E+00, * -1.19841E-01,-4.56968E-01, 2.00180E-02, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00,-1.07368E+00, 5.00000E+00/ C UN2(9) DATA PBP1/ * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 1.75863E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 3.18522E+01, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00/ DATA PBP2/ * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 5.00000E+00/ C UN2(9) DATA PCP1/ * 0.00000E+00, 4.61019E-02, 3.50615E+01, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 6.15349E+01, * 4.28634E+00, 0.00000E+00, 0.00000E+00, 6.03982E+00,-4.72305E+00, * 0.00000E+00,-1.43678E+01, 3.62580E+01, 0.00000E+00, 0.00000E+00, * 1.26574E+00, 0.00000E+00,-2.77285E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00,-1.14802E+01, 0.00000E+00, 0.00000E+00,-1.11940E+01, * -1.39535E+00, 2.63070E+01, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00,-1.53024E+00,-2.14609E+01, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00,-1.26956E+01, 0.00000E+00, 5.49926E+00/ DATA PCP2/ * 9.80142E-01,-1.19016E+00, 2.75110E+00, 4.23423E-01, 5.89893E-01, * 4.94288E-01,-5.25954E-01,-8.51760E-01, 1.62676E+00, 0.00000E+00, * -1.90027E+00, 3.19950E+00, 4.72739E-01, 7.04179E+00,-1.43685E-03, * 1.43219E+00, 1.32136E+00,-2.92744E-03,-3.43680E-01, 7.75735E-01, * 6.92202E-01,-1.45519E-01, 6.97813E-02,-3.11588E-01, 6.65750E-01, * 2.33809E+00, 1.06694E+00,-5.77590E-01,-1.33717E+00, 8.13367E-01, * -5.05737E-01, 5.99169E-01,-8.83386E-01,-4.38123E-01, 2.63649E-01, * -3.03448E-01,-1.28190E+01, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 1.45478E-02, 1.45491E-01, 2.40080E-01, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00,-3.86910E+00, 5.00000E+00/ C UN2(10) DATA PBQ1/ * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 1.10647E+01, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 3.13252E+01, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00/ DATA PBQ2/ * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 5.00000E+00/ C UN2(10) DATA PCQ1/ * 0.00000E+00,-3.03260E+00, 3.15488E+01, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 4.42798E+01, * 7.08849E+00, 0.00000E+00, 0.00000E+00, 1.64773E+01,-6.86505E+00, * 0.00000E+00,-6.27112E+00, 3.78373E+01, 0.00000E+00, 0.00000E+00, * 2.97763E+00, 0.00000E+00,-3.44134E-01, 0.00000E+00, 0.00000E+00, * 0.00000E+00,-1.19424E+01, 0.00000E+00, 0.00000E+00,-1.64645E+01, * -2.27053E+00, 3.82330E+01, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 1.33140E-01,-2.08131E+01, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00,-7.04687E+00, 0.00000E+00, 6.52184E+00/ DATA PCQ2/ * 7.31799E-01,-2.75395E-01, 1.92467E+00, 8.71269E-01, 3.72836E-01, * 3.04967E-01, 7.72480E-02,-5.08596E-01, 1.99828E+00, 0.00000E+00, * -5.51169E-01, 2.12420E+00, 8.96069E-01, 1.12092E+01,-4.30438E-02, * 7.38391E-01, 6.12050E-01, 3.62981E-02,-1.02054E-01, 1.82404E-01, * 3.70643E-01,-1.68899E-01,-1.79628E-01,-1.21117E-01, 1.45823E+00, * 2.04352E+00, 7.83711E-01,-3.42979E-02,-2.31363E-01, 7.11253E-01, * -3.16353E-01, 6.21069E-01,-1.05676E+00,-4.03488E-01, 4.11595E-01, * -2.12535E-01,-6.51453E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 1.48238E-01, 6.38716E-01, 2.99311E-01, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00,-1.01846E+00, 5.00000E+00/ C UN2(11) DATA PBR1/ * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 2.21764E+01, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 6.77475E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00/ DATA PBR2/ * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 5.00000E+00/ C UN2(11) DATA PCR1/ * 0.00000E+00,-1.74115E+00, 2.66621E+01, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 3.13017E+01, * 6.86985E+00, 0.00000E+00, 0.00000E+00, 2.08835E+01,-7.86030E+00, * 0.00000E+00,-3.77141E+00, 3.87788E+01, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 1.31580E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00,-9.98927E+00, 0.00000E+00, 0.00000E+00,-1.71002E+01, * -9.88358E-01, 4.47756E+01, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 5.95029E-01,-2.11313E+01, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00,-3.84164E+00, 0.00000E+00, 0.00000E+00/ DATA PCR2/ * 3.07191E-01, 4.79094E-02, 6.72159E-01, 5.54185E-01, 1.82847E-01, * -1.23768E-02, 1.91637E-01,-2.89429E-02, 1.18297E+00, 0.00000E+00, * 2.37450E-01, 9.23551E-01, 6.05670E-01, 1.35990E+01,-1.64210E-01, * 5.38355E-03,-4.91246E-02,-1.06966E-01,-2.09635E-01,-3.23023E-02, * -3.41663E-02,-3.48871E-02,-2.62450E-01, 2.21492E-01, 1.43749E+00, * 1.08677E+00, 3.97778E-01, 3.61526E-01, 5.55950E-01, 3.53058E-01, * -5.93339E-02, 4.14203E-01,-6.05024E-01,-1.38714E-01, 2.78897E-01, * -8.92889E-02,-3.59033E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 9.90623E-02, 4.36170E-01, 7.95418E-02, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00,-1.11426E+00, 5.00000E+00/ C UN2(12) DATA PBS1/ * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 3.07320E+01, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 1.60738E+01, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00/ DATA PBS2/ * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 5.00000E+00/ C UN2(12) DATA PCS1/ * 0.00000E+00, 1.26217E+01, 2.30787E+01, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 2.00029E+01, * -2.88682E+00, 0.00000E+00, 0.00000E+00, 2.09439E+01,-4.56923E+00, * 0.00000E+00,-2.15929E+00, 3.87149E+01, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00,-7.98039E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00,-6.63423E+00, 0.00000E+00, 0.00000E+00,-5.84850E+00, * 3.72111E+00, 4.52300E+01, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 3.21872E-01, 0.00000E+00, 0.00000E+00/ DATA PCS2/ * 1.09405E-02,-4.35341E-02, 8.00586E-02, 1.48577E-01, 1.01602E-01, * -1.01104E-01,-1.98993E-02, 3.51174E-02, 2.41112E-01, 0.00000E+00, * 2.76479E-01, 1.97043E-01, 2.68708E-01, 1.39832E+01,-1.56638E-01, * -2.39101E-01,-1.50605E-01,-2.17139E-01,-2.59057E-01,-4.36362E-01, * -1.43496E-01, 7.51305E-02,-2.40850E-01, 1.34858E-01, 7.59193E-01, * 3.52708E-01, 1.29922E-01, 3.27957E-01, 5.35491E-01, 1.19120E-01, * -2.94029E-02, 1.76113E-01,-6.51597E-01, 3.61575E-02, 4.26836E-02, * -2.29297E-02,-4.27373E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * -2.78548E-02, 5.77322E-02,-1.02411E-01, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 5.00000E+00/ C UN2(13) DATA PBT1/ * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 3.69447E+01, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 2.34073E+01, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00/ DATA PBT2/ * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 5.00000E+00/ C UN2(13) DATA PCT1/ * 0.00000E+00, 1.22096E+01, 1.92342E+01, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 8.13667E+00, * -6.19078E+00, 0.00000E+00, 0.00000E+00, 2.37009E+01, 0.00000E+00, * 0.00000E+00, 0.00000E+00,-7.87365E+01, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00,-1.12371E+01, 0.00000E+00, 0.00000E+00, * 0.00000E+00,-2.76047E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 1.85864E+01, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00/ DATA PCT2/ * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 5.00000E+00/ C UN2(14) DATA PBU1/ * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 1.01008E+01, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 2.21469E+01, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00/ DATA PBU2/ * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 5.00000E+00/ C UN2(14) DATA PCU1/ * 0.00000E+00,-1.40697E+00, 6.88709E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 3.67624E+02, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 1.58312E+01, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00,-2.46486E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00,-1.90327E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 1.13248E+01, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00/ DATA PCU2/ * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, * 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 5.00000E+00/ END fluids-1.0.22/fluids/optional/hwm14.pyf0000644000175000017500000002607414302004506017206 0ustar nileshnilesh! -*- f90 -*- ! Note: the context of this file is case sensitive. python module hwm14 ! in interface ! in :hwm14 module hwm ! in :hwm14:hwm14.f90 integer(kind=4), optional :: nmaxhwm=0 integer(kind=4), optional :: omaxhwm=0 integer(kind=4), optional :: nmaxdwm=0 integer(kind=4), optional :: mmaxdwm=0 integer(kind=4), optional :: nmaxqdc=0 integer(kind=4), optional :: mmaxqdc=0 integer(kind=4), optional :: nmaxgeo=0 integer(kind=4), optional :: mmaxgeo=0 real(kind=8), allocatable,dimension(:,:) :: gpbar real(kind=8), allocatable,dimension(:,:) :: gvbar real(kind=8), allocatable,dimension(:,:) :: gwbar real(kind=8), allocatable,dimension(:,:) :: spbar real(kind=8), allocatable,dimension(:,:) :: svbar real(kind=8), allocatable,dimension(:,:) :: swbar real(kind=8), optional :: glatalf=-1.d32 logical, optional :: hwminit=.true. end module hwm subroutine hwm14(iyd,sec,alt,glat,glon,stl,f107a,f107,ap,w) ! in :hwm14:hwm14.f90 use hwm integer(kind=4) intent(in) :: iyd real(kind=4) intent(in) :: sec real(kind=4) intent(in) :: alt real(kind=4) intent(in) :: glat real(kind=4) intent(in) :: glon real(kind=4) intent(in) :: stl real(kind=4) intent(in) :: f107a real(kind=4) intent(in) :: f107 real(kind=4) dimension(2),intent(in) :: ap real(kind=4) dimension(2),intent(out) :: w end subroutine hwm14 module alf ! in :hwm14:hwm14.f90 integer(kind=4) :: nmax0 integer(kind=4) :: mmax0 real(kind=8), allocatable,dimension(:,:) :: anm real(kind=8), allocatable,dimension(:,:) :: bnm real(kind=8), allocatable,dimension(:,:) :: dnm real(kind=8), allocatable,dimension(:) :: cm real(kind=8), allocatable,dimension(:) :: en real(kind=8), allocatable,dimension(:) :: marr real(kind=8), allocatable,dimension(:) :: narr subroutine alfbasis(nmax,mmax,theta,p,v,w) ! in :hwm14:hwm14.f90:alf integer(kind=4) intent(in) :: nmax integer(kind=4) intent(in) :: mmax real(kind=8) intent(in) :: theta real(kind=8) dimension(nmax + 1,mmax + 1),intent(out),depend(nmax,mmax) :: p real(kind=8) dimension(nmax + 1,mmax + 1),intent(out),depend(nmax,mmax) :: v real(kind=8) dimension(nmax + 1,mmax + 1),intent(out),depend(nmax,mmax) :: w end subroutine alfbasis subroutine initalf(nmaxin,mmaxin) ! in :hwm14:hwm14.f90:alf integer(kind=4) intent(in) :: nmaxin integer(kind=4) intent(in) :: mmaxin end subroutine initalf end module alf module qwm ! in :hwm14:hwm14.f90 integer(kind=4) :: nbf integer(kind=4) :: maxn integer(kind=4) :: maxs integer(kind=4) :: maxm integer(kind=4) :: maxl integer(kind=4) :: maxo integer(kind=4) :: p integer(kind=4) :: nlev integer(kind=4) :: nnode real(kind=8) :: alttns real(kind=8) :: altsym real(kind=8) :: altiso real(kind=8) dimension(5) :: e1 real(kind=8) dimension(5) :: e2 real(kind=8), parameter,optional :: h=60.0d0 integer(kind=4), allocatable,dimension(:) :: nb integer(kind=4), allocatable,dimension(:,:) :: order real(kind=8), allocatable,dimension(:) :: vnode real(kind=8), allocatable,dimension(:,:) :: mparm real(kind=8), allocatable,dimension(:,:) :: tparm real(kind=8), optional,dimension(5) :: previous=-1.0d32 integer(kind=4), optional :: priornb=0 real(kind=8), allocatable,dimension(:,:) :: fs real(kind=8), allocatable,dimension(:,:) :: fm real(kind=8), allocatable,dimension(:,:) :: fl real(kind=8), allocatable,dimension(:) :: bz real(kind=8), allocatable,dimension(:) :: bm real(kind=8), allocatable,dimension(:) :: zwght integer(kind=4) :: lev integer(kind=4), optional :: cseason=0 integer(kind=4), optional :: cwave=0 integer(kind=4), optional :: ctide=0 logical, optional,dimension(5) :: content=.true. logical, optional,dimension(2) :: component=.true. character(len=128), optional :: qwmdefault='hwm123114.bin' logical, optional :: qwminit=.true. real(kind=8), optional,dimension(4) :: wavefactor=1.0 real(kind=8), optional,dimension(4) :: tidefactor=1.0 end module qwm module dwm ! in :hwm14:hwm14.f90 integer(kind=4) :: nterm integer(kind=4) :: nmax integer(kind=4) :: mmax integer(kind=4) :: nvshterm integer(kind=4), allocatable,dimension(:,:) :: termarr real(kind=4), allocatable,dimension(:) :: coeff real(kind=4), allocatable,dimension(:,:) :: vshterms real(kind=4), allocatable,dimension(:,:) :: termval real(kind=8), allocatable,dimension(:,:) :: dpbar real(kind=8), allocatable,dimension(:,:) :: dvbar real(kind=8), allocatable,dimension(:,:) :: dwbar real(kind=8), allocatable,dimension(:,:) :: mltterms real(kind=4) :: twidth real(kind=8), parameter,optional :: pi=3.141592653589793 real(kind=8), parameter,optional,depend(pi) :: dtor=pi/180.d0 logical, optional :: dwminit=.true. character(len=128), parameter,optional :: dwmdefault='dwm07b104i.dat' end module dwm subroutine inithwm ! in :hwm14:hwm14.f90 use hwm use qwm use dwm use alf, only: initalf end subroutine inithwm subroutine initqwm(filename) ! in :hwm14:hwm14.f90 use qwm use hwm, only: omaxhwm,nmaxhwm character*128 intent(in) :: filename end subroutine initqwm subroutine hwmqt(iyd,sec,alt,glat,glon,stl,f107a,f107,ap,w) ! in :hwm14:hwm14.f90 use hwm use qwm use alf, only: alfbasis integer intent(in) :: iyd real(kind=4) intent(in) :: sec real(kind=4) intent(in) :: alt real(kind=4) intent(in) :: glat real(kind=4) intent(in) :: glon real(kind=4) intent(in) :: stl real(kind=4) intent(in) :: f107a real(kind=4) intent(in) :: f107 real(kind=4) dimension(2),intent(in) :: ap real(kind=4) dimension(2),intent(out) :: w end subroutine hwmqt subroutine vertwght(alt,wght,iz) ! in :hwm14:hwm14.f90 use qwm real(kind=8) intent(in) :: alt real(kind=8) dimension(4),intent(out) :: wght integer(kind=4) intent(out) :: iz end subroutine vertwght subroutine initdwm(nmaxout,mmaxout) ! in :hwm14:hwm14.f90 use hwm use dwm integer(kind=4) intent(out) :: nmaxout integer(kind=4) intent(out) :: mmaxout end subroutine initdwm subroutine dwm07(iyd,sec,alt,glat,glon,ap,dw) ! in :hwm14:hwm14.f90 use hwm use dwm integer intent(in) :: iyd real(kind=4) intent(in) :: sec real(kind=4) intent(in) :: alt real(kind=4) intent(in) :: glat real(kind=4) intent(in) :: glon real(kind=4) dimension(2),intent(in) :: ap real(kind=4) dimension(2),intent(out) :: dw end subroutine dwm07 subroutine dwm07b(mlt,mlat,kp,mmpwind,mzpwind) ! in :hwm14:hwm14.f90 use hwm use dwm use alf, only: alfbasis real(kind=4) intent(in) :: mlt real(kind=4) intent(in) :: mlat real(kind=4) intent(in) :: kp real(kind=4) intent(out) :: mmpwind real(kind=4) intent(out) :: mzpwind end subroutine dwm07b function ap2kp(ap0) ! in :hwm14:hwm14.f90 real(kind=4) :: ap0 real(kind=4) :: ap2kp end function ap2kp module gd2qdc ! in :hwm14:hwm14.f90 integer(kind=4) :: nterm integer(kind=4) :: nmax integer(kind=4) :: mmax real(kind=8), allocatable,dimension(:,:) :: coeff real(kind=8), allocatable,dimension(:) :: xcoeff real(kind=8), allocatable,dimension(:) :: ycoeff real(kind=8), allocatable,dimension(:) :: zcoeff real(kind=8), allocatable,dimension(:) :: sh real(kind=8), allocatable,dimension(:) :: shgradtheta real(kind=8), allocatable,dimension(:) :: shgradphi real(kind=8), allocatable,dimension(:) :: normadj real(kind=4) :: epoch real(kind=4) :: alt real(kind=8), parameter,optional :: pi=3.1415926535897932d0 real(kind=8), parameter,optional,depend(pi) :: dtor=pi/180.0d0 real(kind=8), parameter,optional :: sineps=0.39781868d0 logical, optional :: gd2qdinit=.true. subroutine initgd2qd ! in :hwm14:hwm14.f90:gd2qdc use hwm end subroutine initgd2qd end module gd2qdc subroutine gd2qd(glatin,glon,qlat,qlon,f1e,f1n,f2e,f2n) ! in :hwm14:hwm14.f90 use hwm use gd2qdc use alf real(kind=4) intent(in) :: glatin real(kind=4) intent(in) :: glon real(kind=4) intent(out) :: qlat real(kind=4) intent(out) :: qlon real(kind=4) intent(out) :: f1e real(kind=4) intent(out) :: f1n real(kind=4) intent(out) :: f2e real(kind=4) intent(out) :: f2n end subroutine gd2qd function mltcalc(qlat,qlon,day,ut) ! in :hwm14:hwm14.f90 use hwm use gd2qdc use alf real(kind=4) intent(in) :: qlat real(kind=4) intent(in) :: qlon real(kind=4) intent(in) :: day real(kind=4) intent(in) :: ut real(kind=4) :: mltcalc end function mltcalc subroutine kpspl3(kp,kpterms) ! in :hwm14:hwm14.f90 real(kind=4) intent(in) :: kp real(kind=4) dimension(3),intent(out) :: kpterms end subroutine kpspl3 function latwgt2(mlat,mlt,kp0,twidth) ! in :hwm14:hwm14.f90 real(kind=4) :: mlat real(kind=4) :: mlt real(kind=4) :: kp0 real(kind=4) :: twidth real(kind=4) :: latwgt2 end function latwgt2 subroutine findandopen(datafile,unitid) ! in :hwm14:hwm14.f90 character*128 :: datafile integer :: unitid end subroutine findandopen end interface end python module hwm14 ! This file was auto-generated with f2py (version:2). ! See http://cens.ioc.ee/projects/f2py2e/ fluids-1.0.22/fluids/optional/irradiance.py0000644000175000017500000001677314302004506020206 0ustar nileshnilesh# -*- coding: utf-8 -*- """ irradiance.py from pvlib ======================== Extremely stripped down, reimplementation/vendorized version from: https://github.com/pvlib/pvlib-python/ The rational for not including this library as a strict dependency is to avoid including a dependency on pandas, keeping load time low, and PyPy compatibility Most of the functions will import pvlib and use it for calculations, except for one case which allows this to be used without `pvlib` For a full list of contributors to this file, see the `pvlib` repository. The copyright notice (BSD-3 clause) is as follows: BSD 3-Clause License Copyright (c) 2013-2018, Sandia National Laboratories and pvlib python Development Team All rights reserved. Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met: Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer. Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution. Neither the name of the {organization} nor the names of its contributors may be used to endorse or promote products derived from this software without specific prior written permission. THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. """ from __future__ import division import os import time from datetime import datetime import math from math import degrees, sin, cos, tan, radians, asin, atan2, radians, exp, isnan nan = float("nan") from math import degrees, acos def aoi_projection(surface_tilt, surface_azimuth, solar_zenith, solar_azimuth): projection = ( cos(radians(surface_tilt)) * cos(radians(solar_zenith)) + sin(radians(surface_tilt)) * sin(radians(solar_zenith)) * cos(radians(solar_azimuth - surface_azimuth))) return projection def aoi(surface_tilt, surface_azimuth, solar_zenith, solar_azimuth): projection = aoi_projection(surface_tilt, surface_azimuth, solar_zenith, solar_azimuth) aoi_value = degrees(acos(projection)) return aoi_value def poa_components(aoi, dni, poa_sky_diffuse, poa_ground_diffuse): poa_direct = max(dni * cos(radians(aoi)), 0.0) if poa_sky_diffuse is not None: poa_diffuse = poa_sky_diffuse + poa_ground_diffuse else: poa_diffuse = poa_ground_diffuse poa_global = poa_direct + poa_diffuse irrads = {} irrads['poa_global'] = poa_global irrads['poa_direct'] = poa_direct irrads['poa_diffuse'] = poa_diffuse irrads['poa_sky_diffuse'] = poa_sky_diffuse irrads['poa_ground_diffuse'] = poa_ground_diffuse return irrads def get_ground_diffuse(surface_tilt, ghi, albedo=.25, surface_type=None): diffuse_irrad = ghi*albedo*(1.0 - cos(radians(surface_tilt)))*0.5 return diffuse_irrad def get_sky_diffuse(surface_tilt, surface_azimuth, solar_zenith, solar_azimuth, dni, ghi, dhi, dni_extra=None, airmass=None, model='isotropic', model_perez='allsitescomposite1990'): if model == 'isotropic': return isotropic(surface_tilt, dhi) else: from pvlib import get_sky_diffuse return get_sky_diffuse(surface_tilt, surface_azimuth, solar_zenith, solar_azimuth, dni, ghi, dhi, dni_extra=dni_extra, airmass=airmass, model=model, model_perez=model_perez) def get_absolute_airmass(airmass_relative, pressure=101325.): airmass_absolute = airmass_relative*pressure/101325. return airmass_absolute def get_relative_airmass(zenith, model='kastenyoung1989'): z = zenith zenith_rad = radians(z) if 'kastenyoung1989' == model: try: am = (1.0 / (cos(zenith_rad) + 0.50572*(((6.07995 + (90.0 - z))**-1.6364)))) except: am = nan if isinstance(am, complex): am = nan else: raise ValueError('%s is not a valid model for relativeairmass', model) return am def get_total_irradiance(surface_tilt, surface_azimuth, solar_zenith, solar_azimuth, dni, ghi, dhi, dni_extra=None, airmass=None, albedo=.25, surface_type=None, model='isotropic', model_perez='allsitescomposite1990', **kwargs): poa_sky_diffuse = get_sky_diffuse( surface_tilt, surface_azimuth, solar_zenith, solar_azimuth, dni, ghi, dhi, dni_extra=dni_extra, airmass=airmass, model=model, model_perez=model_perez) poa_ground_diffuse = get_ground_diffuse(surface_tilt, ghi, albedo, surface_type) aoi_ = aoi(surface_tilt, surface_azimuth, solar_zenith, solar_azimuth) irrads = poa_components(aoi_, dni, poa_sky_diffuse, poa_ground_diffuse) return irrads def isotropic(surface_tilt, dhi): sky_diffuse = dhi * (1 + cos(radians(surface_tilt))) * 0.5 return sky_diffuse def ineichen(apparent_zenith, airmass_absolute, linke_turbidity, altitude=0, dni_extra=1364., perez_enhancement=False): if isnan(airmass_absolute) or isnan(apparent_zenith): return {'ghi': 0.0, 'dni': 0.0, 'dhi': 0.0} # use max so that nighttime values will result in 0s instead of # negatives. propagates nans. cos_zenith = cos(radians(apparent_zenith)) if cos_zenith < 0.0: cos_zenith = 0.0 tl = linke_turbidity fh1 = exp(-altitude/8000.) fh2 = exp(-altitude/1250.) cg1 = 5.09e-5*altitude + 0.868 cg2 = 3.92e-5*altitude + 0.0387 ghi = exp(-cg2*airmass_absolute*(fh1 + fh2*(tl - 1.0))) # https://github.com/pvlib/pvlib-python/issues/435 if perez_enhancement: ghi *= exp(0.01*airmass_absolute**1.8) # use fmax to map airmass nans to 0s. multiply and divide by tl to # reinsert tl nans if ghi > 0.0: ghi = cg1 * dni_extra * cos_zenith * tl / tl * ghi else: ghi = 0.0 # BncI = "normal beam clear sky radiation" b = 0.664 + 0.163/fh1 bnci = b * exp(-0.09 * airmass_absolute * (tl - 1)) if bnci > 0.0: bnci = dni_extra * bnci else: bnci = 0.0 # "empirical correction" SE 73, 157 & SE 73, 312. try: bnci_2 = ((1.0 - (0.1 - 0.2*exp(-tl))/(0.1 + 0.882/fh1)) / cos_zenith) except: bnci_2 = 1e20 multiplier = (bnci_2 if bnci_2 > 0.0 else bnci_2) multiplier = 1e20 if multiplier > 1e20 else multiplier bnci_2 = ghi*multiplier dni = bnci if bnci < bnci_2 else bnci_2 dhi = ghi - dni*cos_zenith return {'ghi': ghi, 'dni': dni, 'dhi': dhi} fluids-1.0.22/fluids/optional/pychebfun.py0000644000175000017500000006443214302004506020063 0ustar nileshnilesh# -*- coding: utf-8 -*- """ Chebfun module ============== Vendorized version from: https://github.com/pychebfun/pychebfun/blob/master/pychebfun The rational for not including this library as a strict dependency is that it has not been released. .. moduleauthor :: Chris Swierczewski .. moduleauthor :: Olivier Verdier .. moduleauthor :: Gregory Potter The copyright notice (BSD-3 clause) is as follows: Copyright 2017 Olivier Verdier Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met: 1. Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer. 2. Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution. 3. Neither the name of the copyright holder nor the names of its contributors may be used to endorse or promote products derived from this software without specific prior written permission. THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. """ from __future__ import division import operator from functools import wraps import numpy as np import numpy.polynomial as poly from numpy.polynomial.chebyshev import cheb2poly, Chebyshev from numpy.polynomial.polynomial import Polynomial import sys emach = sys.float_info.epsilon # machine epsilon global sp_fftpack_ifft sp_fftpack_ifft = None def fftpack_ifft(*args, **kwargs): global sp_fftpack_ifft if sp_fftpack_ifft is None: from scipy.fftpack import ifft as sp_fftpack_ifft return sp_fftpack_ifft(*args, **kwargs) global sp_fftpack_fft sp_fftpack_fft = None def fftpack_fft(*args, **kwargs): global sp_fftpack_fft if sp_fftpack_fft is None: from scipy.fftpack import fft as sp_fftpack_fft return sp_fftpack_fft(*args, **kwargs) global sp_eigvals sp_eigvals = None def eigvals(*args, **kwargs): global sp_eigvals if sp_eigvals is None: from scipy.linalg import eigvals as sp_eigvals return sp_eigvals(*args, **kwargs) global sp_toeplitz sp_toeplitz = None def toeplitz(*args, **kwargs): global sp_toeplitz if sp_toeplitz is None: from scipy.linalg import toeplitz as sp_toeplitz return sp_toeplitz(*args, **kwargs) def build_pychebfun(f, domain, N=15): fvec = lambda xs: [f(xi) for xi in xs] return chebfun(f=fvec, domain=domain, N=N) def build_solve_pychebfun(f, goal, domain, N=15, N_max=100, find_roots=2): cache = {} def cached_fun(x): # Almost half the points are cached! if x in cache: return cache[x] val = f(x) cache[x] = val return val fun = build_pychebfun(cached_fun, domain, N=N) roots = (fun - goal).roots() while (len(roots) < find_roots and len(fun._values) < N_max): N *= 2 fun = build_pychebfun(cached_fun, domain, N=N) roots = (fun - goal).roots() roots = [i for i in roots if domain[0] < i < domain[1]] return roots, fun def chebfun_to_poly(coeffs_or_fun, domain=None, text=False): if isinstance(coeffs_or_fun, Chebfun): coeffs = coeffs_or_fun.coefficients() domain = coeffs_or_fun._domain elif hasattr(coeffs_or_fun, '__class__') and coeffs_or_fun.__class__.__name__ == 'ChebyshevExpansion': coeffs = coeffs_or_fun.coef() domain = coeffs_or_fun.xmin(), coeffs_or_fun.xmax() else: coeffs = coeffs_or_fun low, high = domain # Reverse the coefficients, and use cheb2poly to make it in the polynomial domain poly_coeffs = cheb2poly(coeffs)[::-1].tolist() if not text: return poly_coeffs s = 'coeffs = %s\n' %poly_coeffs delta = high - low delta_sum = high + low # Generate the expression s += 'horner(coeffs, %.18g*(x - %.18g))' %(2.0/delta, 0.5*delta_sum) # return the string return s def cheb_to_poly(coeffs_or_fun, domain=None): """Just call horner on the outputs!""" from fluids.numerics import horner as horner_poly if isinstance(coeffs_or_fun, Chebfun): coeffs = coeffs_or_fun.coefficients() domain = coeffs_or_fun._domain elif hasattr(coeffs_or_fun, '__class__') and coeffs_or_fun.__class__.__name__ == 'ChebyshevExpansion': coeffs = coeffs_or_fun.coef() domain = coeffs_or_fun.xmin(), coeffs_or_fun.xmax() else: coeffs = coeffs_or_fun low, high = domain coeffs = cheb2poly(coeffs)[::-1].tolist() # Convert to polynomial basis # Mix in limits to make it a normal polynomial my_poly = Polynomial([-0.5*(high + low)*2.0/(high - low), 2.0/(high - low)]) poly_coeffs = horner_poly(coeffs, my_poly).coef[::-1].tolist() return poly_coeffs def cheb_range_simplifier(low, high, text=False): ''' >>> low, high = 0.0023046250851646434, 4.7088985707840125 >>> cheb_range_simplifier(low, high, text=True) 'chebval(0.42493574399544564724*(x + -2.3556015979345885647), coeffs)' ''' constant = 0.5*(-low-high) factor = 2.0/(high-low) if text: return 'chebval(%.20g*(x + %.20g), coeffs)' %(factor, constant) return constant, factor def cast_scalar(method): """Cast scalars to constant interpolating objects.""" @wraps(method) def new_method(self, other): if np.isscalar(other): other = type(self)([other],self.domain()) return method(self, other) return new_method class Polyfun(object): """Construct a Lagrange interpolating polynomial over arbitrary points. Polyfun objects consist in essence of two components: 1) An interpolant on [-1,1], 2) A domain attribute [a,b]. These two pieces of information are used to define and subsequently keep track of operations upon Chebyshev interpolants defined on an arbitrary real interval [a,b]. """ # ---------------------------------------------------------------- # Initialisation methods # ---------------------------------------------------------------- class NoConvergence(Exception): """Raised when dichotomy does not converge.""" class DomainMismatch(Exception): """Raised when there is an interval mismatch.""" @classmethod def from_data(self, data, domain=None): """Initialise from interpolation values.""" return self(data,domain) @classmethod def from_fun(self, other): """Initialise from another instance.""" return self(other.values(),other.domain()) @classmethod def from_coeff(self, chebcoeff, domain=None, prune=True, vscale=1.): """ Initialise from provided coefficients prune: Whether to prune the negligible coefficients vscale: the scale to use when pruning """ coeffs = np.asarray(chebcoeff) if prune: N = self._cutoff(coeffs, vscale) pruned_coeffs = coeffs[:N] else: pruned_coeffs = coeffs values = self.polyval(pruned_coeffs) return self(values, domain, vscale) @classmethod def dichotomy(self, f, kmin=2, kmax=12, raise_no_convergence=True,): """Compute the coefficients for a function f by dichotomy. kmin, kmax: log2 of number of interpolation points to try raise_no_convergence: whether to raise an exception if the dichotomy does not converge """ for k in range(kmin, kmax): N = pow(2, k) sampled = self.sample_function(f, N) coeffs = self.polyfit(sampled) # 3) Check for negligible coefficients # If within bound: get negligible coeffs and bread bnd = self._threshold(np.max(np.abs(coeffs))) last = abs(coeffs[-2:]) if np.all(last <= bnd): break else: if raise_no_convergence: raise self.NoConvergence(last, bnd) return coeffs @classmethod def from_function(self, f, domain=None, N=None): """Initialise from a function to sample. N: optional parameter which indicates the range of the dichotomy """ # rescale f to the unit domain domain = self.get_default_domain(domain) a,b = domain[0], domain[-1] map_ui_ab = lambda t: 0.5*(b-a)*t + 0.5*(a+b) args = {'f': lambda t: f(map_ui_ab(t))} if N is not None: # N is provided nextpow2 = int(np.log2(N))+1 args['kmin'] = nextpow2 args['kmax'] = nextpow2+1 args['raise_no_convergence'] = False else: args['raise_no_convergence'] = True # Find out the right number of coefficients to keep coeffs = self.dichotomy(**args) return self.from_coeff(coeffs, domain) @classmethod def _threshold(self, vscale): """Compute the threshold at which coefficients are trimmed.""" bnd = 128*emach*vscale return bnd @classmethod def _cutoff(self, coeffs, vscale): """Compute cutoff index after which the coefficients are deemed negligible.""" bnd = self._threshold(vscale) inds = np.nonzero(abs(coeffs) >= bnd) if len(inds[0]): N = inds[0][-1] else: N = 0 return N+1 def __init__(self, values=0., domain=None, vscale=None): """Init an object from values at interpolation points. values: Interpolation values vscale: The actual vscale; computed automatically if not given """ avalues = np.asarray(values,) avalues1 = np.atleast_1d(avalues) N = len(avalues1) points = self.interpolation_points(N) self._values = avalues1 if vscale is not None: self._vscale = vscale else: self._vscale = np.max(np.abs(self._values)) self.p = self.interpolator(points, avalues1) domain = self.get_default_domain(domain) self._domain = np.array(domain) a,b = domain[0], domain[-1] # maps from [-1,1] <-> [a,b] self._ab_to_ui = lambda x: (2.0*x-a-b)/(b-a) self._ui_to_ab = lambda t: 0.5*(b-a)*t + 0.5*(a+b) def same_domain(self, fun2): """Returns True if the domains of two objects are the same.""" return np.allclose(self.domain(), fun2.domain(), rtol=1e-14, atol=1e-14) # ---------------------------------------------------------------- # String representations # ---------------------------------------------------------------- def __repr__(self): """Display method.""" a, b = self.domain() vals = self.values() return ( '%s \n ' ' domain length endpoint values\n ' ' [%5.1f, %5.1f] %5d %5.2f %5.2f\n ' 'vscale = %1.2e') % ( str(type(self)).split('.')[-1].split('>')[0][:-1], a,b,self.size(),vals[-1],vals[0],self._vscale,) def __str__(self): return "<{0}({1})>".format( str(type(self)).split('.')[-1].split('>')[0][:-1],self.size(),) # ---------------------------------------------------------------- # Basic Operator Overloads # ---------------------------------------------------------------- def __call__(self, x): return self.p(self._ab_to_ui(x)) def __getitem__(self, s): """Components s of the fun.""" return self.from_data(self.values().T[s].T) def __bool__(self): """Test for difference from zero (up to tolerance)""" return not np.allclose(self.values(), 0) __nonzero__ = __bool__ def __eq__(self, other): return not(self - other) def __ne__(self, other): return not (self == other) @cast_scalar def __add__(self, other): """Addition.""" if not self.same_domain(other): raise self.DomainMismatch(self.domain(),other.domain()) ps = [self, other] # length difference diff = other.size() - self.size() # determine which of self/other is the smaller/bigger big = diff > 0 small = not big # pad the coefficients of the small one with zeros small_coeffs = ps[small].coefficients() big_coeffs = ps[big].coefficients() padded = np.zeros_like(big_coeffs) padded[:len(small_coeffs)] = small_coeffs # add the values and create a new object with them chebsum = big_coeffs + padded new_vscale = np.max([self._vscale, other._vscale]) return self.from_coeff( chebsum, domain=self.domain(), vscale=new_vscale ) __radd__ = __add__ @cast_scalar def __sub__(self, other): """Subtraction.""" return self + (-other) def __rsub__(self, other): return -(self - other) def __rmul__(self, other): return self.__mul__(other) def __rtruediv__(self, other): return self.__rdiv__(other) def __neg__(self): """Negation.""" return self.from_data(-self.values(),domain=self.domain()) def __abs__(self): return self.from_function(lambda x: abs(self(x)),domain=self.domain()) # ---------------------------------------------------------------- # Attributes # ---------------------------------------------------------------- def size(self): return self.p.n def coefficients(self): return self.polyfit(self.values()) def values(self): return self._values def domain(self): return self._domain # ---------------------------------------------------------------- # Integration and differentiation # ---------------------------------------------------------------- def integrate(self): raise NotImplementedError() def differentiate(self): raise NotImplementedError() def dot(self, other): r"""Return the Hilbert scalar product :math:`\int f.g`.""" prod = self * other return prod.sum() def norm(self): """ Return: square root of scalar product with itself. """ norm = np.sqrt(self.dot(self)) return norm # ---------------------------------------------------------------- # Miscellaneous operations # ---------------------------------------------------------------- def restrict(self,subinterval): """Return a Polyfun that matches self on subinterval.""" if (subinterval[0] < self._domain[0]) or (subinterval[1] > self._domain[1]): raise ValueError("Can only restrict to subinterval") return self.from_function(self, subinterval) # ---------------------------------------------------------------- # Class method aliases # ---------------------------------------------------------------- diff = differentiate cumsum = integrate class Chebfun(Polyfun): """Eventually set this up so that a Chebfun is a collection of Chebfuns. This will enable piecewise smooth representations al la Matlab Chebfun v2.0. """ # ---------------------------------------------------------------- # Standard construction class methods. # ---------------------------------------------------------------- @classmethod def get_default_domain(self, domain=None): if domain is None: return [-1., 1.] else: return domain @classmethod def identity(self, domain=[-1., 1.]): """The identity function x -> x.""" return self.from_data([domain[1],domain[0]], domain) @classmethod def basis(self, n): """Chebyshev basis functions T_n.""" if n == 0: return self(np.array([1.])) vals = np.ones(n+1) vals[1::2] = -1 return self(vals) # ---------------------------------------------------------------- # Integration and differentiation # ---------------------------------------------------------------- def sum(self): """Evaluate the integral over the given interval using Clenshaw-Curtis quadrature.""" ak = self.coefficients() ak2 = ak[::2] n = len(ak2) Tints = 2/(1-(2*np.arange(n))**2) val = np.sum((Tints*ak2.T).T, axis=0) a_, b_ = self.domain() return 0.5*(b_-a_)*val def integrate(self): """Return the object representing the primitive of self over the domain. The output starts at zero on the left-hand side of the domain. """ coeffs = self.coefficients() a,b = self.domain() int_coeffs = 0.5*(b-a)*poly.chebyshev.chebint(coeffs) antiderivative = self.from_coeff(int_coeffs, domain=self.domain()) return antiderivative - antiderivative(a) def differentiate(self, n=1): """n-th derivative, default 1.""" ak = self.coefficients() a_, b_ = self.domain() for _ in range(n): ak = self.differentiator(ak) return self.from_coeff((2./(b_-a_))**n*ak, domain=self.domain()) # ---------------------------------------------------------------- # Roots # ---------------------------------------------------------------- def roots(self): """Utilises Boyd's O(n^2) recursive subdivision algorithm. The chebfun is recursively subsampled until it is successfully represented to machine precision by a sequence of piecewise interpolants of degree 100 or less. A colleague matrix eigenvalue solve is then applied to each of these pieces and the results are concatenated. See: J. P. Boyd, Computing zeros on a real interval through Chebyshev expansion and polynomial rootfinding, SIAM J. Numer. Anal., 40 (2002), pp. 1666–1682. """ if self.size() == 1: return np.array([]) elif self.size() <= 100: ak = self.coefficients() v = np.zeros_like(ak[:-1]) v[1] = 0.5 C1 = toeplitz(v) C2 = np.zeros_like(C1) C1[0,1] = 1. C2[-1,:] = ak[:-1] C = C1 - .5/ak[-1] * C2 eigenvalues = eigvals(C) roots = [eig.real for eig in eigenvalues if np.allclose(eig.imag,0,atol=1e-10) and np.abs(eig.real) <=1] scaled_roots = self._ui_to_ab(np.array(roots)) return scaled_roots else: try: # divide at a close-to-zero split-point split_point = self._ui_to_ab(0.0123456789) return np.concatenate( (self.restrict([self._domain[0],split_point]).roots(), self.restrict([split_point,self._domain[1]]).roots())) except: # Seems to have many fake roots for high degree fits coeffs = self.coefficients() domain = self._domain possibilities = Chebyshev(coeffs, domain).roots() return np.array([float(i.real) for i in possibilities if i.imag == 0.0]) # ---------------------------------------------------------------- # Interpolation and evaluation (go from values to coefficients) # ---------------------------------------------------------------- @classmethod def interpolation_points(self, N): """N Chebyshev points in [-1, 1], boundaries included.""" if N == 1: return np.array([0.]) return np.cos(np.arange(N)*np.pi/(N-1)) @classmethod def sample_function(self, f, N): """Sample a function on N+1 Chebyshev points.""" x = self.interpolation_points(N+1) return f(x) @classmethod def polyfit(self, sampled): """Compute Chebyshev coefficients for values located on Chebyshev points. sampled: array; first dimension is number of Chebyshev points """ asampled = np.asarray(sampled) if len(asampled) == 1: return asampled evened = even_data(asampled) coeffs = dct(evened) return coeffs @classmethod def polyval(self, chebcoeff): """Compute the interpolation values at Chebyshev points. chebcoeff: Chebyshev coefficients """ N = len(chebcoeff) if N == 1: return chebcoeff data = even_data(chebcoeff)/2 data[0] *= 2 data[N-1] *= 2 fftdata = 2*(N-1)*fftpack_ifft(data, axis=0) complex_values = fftdata[:N] # convert to real if input was real if np.isrealobj(chebcoeff): values = np.real(complex_values) else: values = complex_values return values @classmethod def interpolator(self, x, values): """Returns a polynomial with vector coefficients which interpolates the values at the Chebyshev points x.""" # hacking the barycentric interpolator by computing the weights in advance from scipy.interpolate import BarycentricInterpolator as Bary p = Bary([0.]) N = len(values) weights = np.ones(N) weights[0] = .5 weights[1::2] = -1 weights[-1] *= .5 p.wi = weights p.xi = x p.set_yi(values) return p # ---------------------------------------------------------------- # Helper for differentiation. # ---------------------------------------------------------------- @classmethod def differentiator(self, A): """Differentiate a set of Chebyshev polynomial expansion coefficients Originally from http://www.scientificpython.net/pyblog/chebyshev- differentiation. + (lots of) bug fixing + pythonisation """ m = len(A) SA = (A.T* 2*np.arange(m)).T DA = np.zeros_like(A) if m == 1: # constant return np.zeros_like(A[0:1]) if m == 2: # linear return A[1:2,] DA[m-3:m-1,] = SA[m-2:m,] for j in range(m//2 - 1): k = m-3-2*j DA[k] = SA[k+1] + DA[k+2] DA[k-1] = SA[k] + DA[k+1] DA[0] = (SA[1] + DA[2])*0.5 return DA # ---------------------------------------------------------------- # General utilities # ---------------------------------------------------------------- def even_data(data): """ Construct Extended Data Vector (equivalent to creating an even extension of the original function) Return: array of length 2(N-1) For instance, [0,1,2,3,4] --> [0,1,2,3,4,3,2,1] """ return np.concatenate([data, data[-2:0:-1]],) def dct(data): """Compute DCT using FFT.""" N = len(data)//2 fftdata = fftpack_fft(data, axis=0)[:N+1] fftdata /= N fftdata[0] /= 2. fftdata[-1] /= 2. if np.isrealobj(data): data = np.real(fftdata) else: data = fftdata return data # ---------------------------------------------------------------- # Add overloaded operators # ---------------------------------------------------------------- def _add_operator(cls, op): def method(self, other): if not self.same_domain(other): raise self.DomainMismatch(self.domain(), other.domain()) return self.from_function( lambda x: op(self(x).T, other(x).T).T, domain=self.domain(), ) cast_method = cast_scalar(method) name = '__'+op.__name__+'__' cast_method.__name__ = name cast_method.__doc__ = "operator {}".format(name) setattr(cls, name, cast_method) def rdiv(a, b): return b/a for _op in [operator.mul, operator.truediv, operator.pow, rdiv]: _add_operator(Polyfun, _op) # ---------------------------------------------------------------- # Add numpy ufunc delegates # ---------------------------------------------------------------- def _add_delegate(ufunc, nonlinear=True): def method(self): return self.from_function(lambda x: ufunc(self(x)), domain=self.domain()) name = ufunc.__name__ method.__name__ = name method.__doc__ = "delegate for numpy's ufunc {}".format(name) setattr(Polyfun, name, method) # Following list generated from: # https://github.com/numpy/numpy/blob/master/numpy/core/code_generators/generate_umath.py for func in [np.arccos, np.arccosh, np.arcsin, np.arcsinh, np.arctan, np.arctanh, np.cos, np.sin, np.tan, np.cosh, np.sinh, np.tanh, np.exp, np.exp2, np.expm1, np.log, np.log2, np.log1p, np.sqrt, np.ceil, np.trunc, np.fabs, np.floor, ]: _add_delegate(func) # ---------------------------------------------------------------- # General Aliases # ---------------------------------------------------------------- ## chebpts = interpolation_points # ---------------------------------------------------------------- # Constructor inspired by the Matlab version # ---------------------------------------------------------------- def chebfun(f=None, domain=[-1,1], N=None, chebcoeff=None,): """Create a Chebyshev polynomial approximation of the function $f$ on the interval :math:`[-1, 1]`. :param callable f: Python, Numpy, or Sage function :param int N: (default = None) specify number of interpolating points :param np.array chebcoeff: (default = np.array(0)) specify the coefficients """ # Chebyshev coefficients if chebcoeff is not None: return Chebfun.from_coeff(chebcoeff, domain) # another instance if isinstance(f, Polyfun): return Chebfun.from_fun(f) # callable if hasattr(f, '__call__'): return Chebfun.from_function(f, domain, N) # from here on, assume that f is None, or iterable if np.isscalar(f): f = [f] try: iter(f) # interpolation values provided except TypeError: pass else: return Chebfun(f, domain) raise TypeError('Impossible to initialise the object from an object of type {}'.format(type(f)))fluids-1.0.22/fluids/optional/dwm07b104i.dat0000644000175000017500000001136014302004506017706 0ustar nileshnilesh , ççççççççç ç ç ç ç ççççççççççççççççççç ç!ç"ç#ç$ç%ç&ç'ç(ç)ç*ç+çççççççççç ç ç ç ç ççççççççççççççççççç ç!ç"ç#ç$ç%ç&ç'ç(ç)ç*ç+ç,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~ççççççççç ç ç ç ç ççççççççççççççççççç ç!ç"ç#ç$ç%ç&ç'ç(ç)ç*ç+ç,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~°(V==á+x@Hç@°­¿áÉ¿îÍÀ%F*@0xG?¯õQ??”¢>”`\@S͹¿ÀÚ¾½…ª¿°†>˜¯2>Ÿ\F¿Å'Á@%š…?ËÛ?†Í²?¡Â?­Ê{>ï¿`ßò±‚v¿,2¾l/3¿“™¿“£¿Š²À>ä´X¿1ªÀˆéÈ?<>º?µ¦?Dnø@R Áˆw6À†´GÀüå‰À¢·À¶A–À0$¿‚̳?Ýœ¿rø @ÂnU@_\¿Àð¾@ÈÍ»¿HµÀ#[¿>Ú À"ˆ@'ê¿àªÀ8$Ö?@ž9Àd?pY@ô¦åÀèr¿N‚ @¢ø¿ˆK{¿„×Áf3Ñ@ŸV¿Õ¬Ñ>Tæ¿rm„>@@s…û?”°Û>Z¸@™ ,BÞSÞBÚ?ÖB¿ÌÈBEÁ<Â9>CvðC£Iô®£Bð…°C´ÓÙÂ$8CYØÖg3A°*–A©Ž]Ââæ€Â‘$ÃXêCæTÃ!A"C¢9ÃI7MC7Úãèã–Ãn¨ÿBă’C>=ÇÀ¸TÆÂaÃ6ã´üÃ’KvBÛb%Ã'ïÃåo7C övÃÈ1 ÃL>EBi) ö|SC QŸÁEÁB‘B¦oÄBˆ*CúÑ‚ÃügõB° -Ãß*'CEMYÃ쑼CdQpCøj¾Â€lYÃün¢@î!;Bº@¯B Bn{B¸ó°Á†*PBq&FBíàNÂœ,CòõAŸ<Á”•¯A‡eíÁ*¦@°Žb?‘ÓÂ^@¸ÂwìŸB@Âõ…B6nÂᣤBß*éÂõ‡Â~ÕãAd"¥B]q`@,Q)ÂB¡ÁFdAÌ—Ö@Ï,ÁÇûÁFYÀ€Ù*@!¬Aeë!ÂÂa²A¨i¸À˜ÅQ¿í7 AzªEÀ`þø¿RçÁ€¿;@ ÿÒ>ÞIL@Ð}@º·Ë>_ùÖ@ê]ÅAŸÁ~ʉÀú5Ç@d¶ÞÀIã=ÁriÀP«?~SÁ°6šÁäjŽÀà˜ˆ¿Ø‹À#Я@€Q“¾¥Øá@!r½ÀÀÎA´AFŽ£Bšz…Áœ¤B@Ãú@x“Ô@þ˜Afn4Âj!½Âö C<ȶÃà³ÒBêÙºCòL†Ãìæ9CUuöÁN¡‘Bÿ~@ ÷Û¿Ø]Ã8ÌÃÒ-«Ãä»Â†â¦Bx™”Á3Å C 0ŸC÷ÄèÃV C›ÛÂJã]Âk…žxÁâv0ÂñÙ6Âå¯ÄB_aÇB w¿ÐÛmC€1KA»9ó<'CPÃ0D¢B¥³ÜÂk…B+~ŸAI‰Cï¸Ãø3ÄCˆÂBŸ­ÂóRBå”Ã…ÃŒÃZ׬CÀé¢Â–rZB<ÆGB¦ÔmB`»Y@ NB¶ÕAÕúx€ÁÔ —iÀ`Ë”IB\½mÂõBû8 fB§‘µÁD1ÙÁå8ѺhCÐô,Ãè1¦Á¤B Ê…Á¶&B6%´Bê°¸Â@vÁA°€@fluids-1.0.22/fluids/optional/hwm93.pyf0000644000175000017500000004105214302004506017206 0ustar nileshnilesh! -*- f90 -*- ! Note: the context of this file is case sensitive. python module hwm93 ! in interface ! in :hwm93 subroutine gws5(iyd,sec,alt,glat,glong,stl,f107a,f107,ap,w) ! in :hwm93:hwm93.for integer :: iyd real :: sec real :: alt real :: glat real :: glong real :: stl real :: f107a real :: f107 real dimension(1) :: ap real dimension(2), intent(out) :: w integer dimension(3) :: isdate integer dimension(2) :: istime integer dimension(2) :: name real dimension(25) :: sw integer :: isw real dimension(25) :: swc real dimension(200) :: pwb real dimension(200) :: pwc real dimension(150) :: pwbl real dimension(150) :: pwcl real dimension(150) :: pwbld real dimension(150) :: pwcld real dimension(150) :: pb12 real dimension(150) :: pc12 real dimension(150) :: pb13 real dimension(150) :: pc13 real dimension(150) :: pb14 real dimension(150) :: pc14 real dimension(150) :: pb15 real dimension(150) :: pc15 real dimension(150) :: pb15d real dimension(150) :: pc15d real dimension(100,26) :: pwp integer dimension(3) :: isd integer dimension(2) :: ist integer dimension(2) :: nam real dimension(2) :: wbt real dimension(2) :: wct integer :: nnw common /datime/ isdate,istime,name common /csw/ sw,isw,swc common /parmw5/ pwb,pwc,pwbl,pwcl,pwbld,pwcld,pb12,pc12,pb13,pc13,pb14,pc14,pb15,pc15,pb15d,pc15d,pwp common /datw/ isd,ist,nam common /hwmc/ wbt,wct entry setnw5(nnw) end subroutine gws5 function wprof(z,zl,s,uinf,ulb,ulbd,mn1,zn1,un1,ugn1,mn2,zn2,un2,ugn2) ! in :hwm93:hwm93.for real :: z real :: zl real :: s real :: uinf real :: ulb real :: ulbd integer, optional,check(len(zn1)>=mn1),depend(zn1) :: mn1=len(zn1) real dimension(mn1) :: zn1 real dimension(mn1),depend(mn1) :: un1 real dimension(2) :: ugn1 integer, optional,check(len(zn2)>=mn2),depend(zn2) :: mn2=len(zn2) real dimension(mn2) :: zn2 real dimension(mn2),depend(mn2) :: un2 real dimension(2) :: ugn2 real :: wprof end function wprof subroutine glbw5e(yrd,sec,lat,long_bn,stl,f107a,f107,ap,pb,pc,ww) ! in :hwm93:hwm93.for real :: yrd real :: sec real :: lat real :: long_bn real :: stl real :: f107a real :: f107 real dimension(1) :: ap real dimension(1) :: pb real dimension(1) :: pc real dimension(2) :: ww real :: xvl integer :: lvl integer :: mvl real :: clat real :: slat real dimension(20,20) :: bt real dimension(20,20) :: bp real dimension(25) :: sw integer :: isw real dimension(25) :: swc real :: tll integer :: nsvl real :: cstl real :: sstl real :: c2stl real :: s2stl real :: c3stl real :: s3stl real :: xll integer :: ngvl real :: clong real :: slong real :: c2long real :: s2long real dimension(2) :: wbt real dimension(2) :: wct common /vpoly2/ xvl,lvl,mvl,clat,slat,bt,bp common /csw/ sw,isw,swc common /ltcomp/ tll,nsvl,cstl,sstl,c2stl,s2stl,c3stl,s3stl common /lgcomp/ xll,ngvl,clong,slong,c2long,s2long common /hwmc/ wbt,wct end subroutine glbw5e subroutine glbw5m(yrd,sec,lat,long_bn,stl,f107a,f107,ap,pb,pc,ww) ! in :hwm93:hwm93.for real :: yrd real :: sec real :: lat real :: long_bn real :: stl real :: f107a real :: f107 real dimension(1) :: ap real dimension(1) :: pb real dimension(1) :: pc real dimension(2) :: ww real :: xvl integer :: lvl integer :: mvl real :: clat real :: slat real dimension(20,20) :: bt real dimension(20,20) :: bp real dimension(25) :: sw integer :: isw real dimension(25) :: swc real :: tll integer :: nsvl real :: cstl real :: sstl real :: c2stl real :: s2stl real :: c3stl real :: s3stl real :: xll integer :: ngvl real :: clong real :: slong real :: c2long real :: s2long real dimension(2) :: wbt real dimension(2) :: wct common /vpoly2/ xvl,lvl,mvl,clat,slat,bt,bp common /csw/ sw,isw,swc common /ltcomp/ tll,nsvl,cstl,sstl,c2stl,s2stl,c3stl,s3stl common /lgcomp/ xll,ngvl,clong,slong,c2long,s2long common /hwmc/ wbt,wct end subroutine glbw5m subroutine glbw5s(iyd,lat,long_bn,stl,pb,pc,ww) ! in :hwm93:hwm93.for integer :: iyd real :: lat real :: long_bn real :: stl real dimension(1) :: pb real dimension(1) :: pc real dimension(2) :: ww real :: xvl integer :: lvl integer :: mvl real :: clat real :: slat real dimension(20,20) :: bt real dimension(20,20) :: bp real dimension(25) :: sw integer :: isw real dimension(25) :: swc real :: tll integer :: nsvl real :: cstl real :: sstl real :: c2stl real :: s2stl real :: c3stl real :: s3stl real :: xll integer :: ngvl real :: clong real :: slong real :: c2long real :: s2long real dimension(2) :: wbt real dimension(2) :: wct common /vpoly2/ xvl,lvl,mvl,clat,slat,bt,bp common /csw/ sw,isw,swc common /ltcomp/ tll,nsvl,cstl,sstl,c2stl,s2stl,c3stl,s3stl common /lgcomp/ xll,ngvl,clong,slong,c2long,s2long common /hwmc/ wbt,wct end subroutine glbw5s subroutine tselec(sv) ! in :hwm93:hwm93.for real dimension(1) :: sv real dimension(25) :: sw integer :: isw real dimension(25) :: swc real dimension(1) :: svv common /csw/ sw,isw,swc entry tretrv(svv) end subroutine tselec subroutine vsphr1(c,s,l,m,bt,bp,lmax) ! in :hwm93:hwm93.for real :: c real :: s integer :: l integer :: m real dimension(lmax,1) :: bt real dimension(lmax,1),depend(lmax) :: bp integer, optional,check(shape(bt,0)==lmax),depend(bt) :: lmax=shape(bt,0) end subroutine vsphr1 subroutine legpl1(c,s,l,m,plg,lmax) ! in :hwm93:hwm93.for real :: c real :: s integer :: l integer :: m real dimension(lmax,1) :: plg integer, optional,check(shape(plg,0)==lmax),depend(plg) :: lmax=shape(plg,0) end subroutine legpl1 subroutine spline(x,y,n,yp1,ypn,y2) ! in :hwm93:hwm93.for real dimension(n) :: x real dimension(n),depend(n) :: y integer, optional,check(len(x)>=n),depend(x) :: n=len(x) real :: yp1 real :: ypn real dimension(n),depend(n) :: y2 end subroutine spline subroutine splint(xa,ya,y2a,n,x,y) ! in :hwm93:hwm93.for real dimension(n) :: xa real dimension(n),depend(n) :: ya real dimension(n),depend(n) :: y2a integer, optional,check(len(xa)>=n),depend(xa) :: n=len(xa) real :: x real :: y end subroutine splint block data initw5 ! in :hwm93:hwm93.for real, optional :: xvl=-999.0 integer, optional :: lvl=-1 integer, optional :: mvl=-1 real :: clat real :: slat real dimension(20,20) :: bt real dimension(20,20) :: bp real dimension(25) :: sw integer, optional :: isw=0 real dimension(25) :: swc real, optional :: tll=-999.0 integer, optional :: nsvl=-1 real :: cstl real :: sstl real :: c2stl real :: s2stl real :: c3stl real :: s3stl real, optional :: xll=-999.0 integer, optional :: ngvl=-1 real :: clong real :: slong real :: c2long real :: s2long common /vpoly2/ xvl,lvl,mvl,clat,slat,bt,bp common /csw/ sw,isw,swc common /ltcomp/ tll,nsvl,cstl,sstl,c2stl,s2stl,c3stl,s3stl common /lgcomp/ xll,ngvl,clong,slong,c2long,s2long end block data initw5 block data gwsbk5 ! in :hwm93:hwm93.for character, optional,dimension(3,4),intent(c) :: isdate='28-j' character, optional,dimension(2,4),intent(c) :: istime='20:3' character, optional,dimension(2,4),intent(c) :: name='hwm9' real, optional,dimension(50) :: pba1=0.00000e+00 real, optional,dimension(50) :: pba2=-3.82415e-01 real, optional,dimension(50) :: pba3=0.00000e+00 real, optional,dimension(50) :: pba4=2.08426e+00 real, optional,dimension(50) :: pca1=0.00000e+00 real, optional,dimension(50) :: pca2=-1.36730e+00 real, optional,dimension(50) :: pca3=0.00000e+00 real, optional,dimension(50) :: pca4=-2.31583e+00 real, optional,dimension(50) :: pbb1=6.22831e-01 real, optional,dimension(50) :: pbb2=0.00000e+00 real, optional,dimension(50) :: pbb3=0.00000e+00 real, optional,dimension(50) :: pcb1=5.45009e-01 real, optional,dimension(50) :: pcb2=0.00000e+00 real, optional,dimension(50) :: pcb3=0.00000e+00 real, optional,dimension(50) :: pbc1=6.09940e-01 real, optional,dimension(50) :: pbc2=0.00000e+00 real, optional,dimension(50) :: pbc3=0.00000e+00 real, optional,dimension(50) :: pcc1=5.46739e-01 real, optional,dimension(50) :: pcc2=0.00000e+00 real, optional,dimension(50) :: pcc3=0.00000e+00 real, optional,dimension(50) :: pbd1=4.99007e-01 real, optional,dimension(50) :: pbd2=0.00000e+00 real, optional,dimension(50) :: pbd3=0.00000e+00 real, optional,dimension(50) :: pcd1=0.00000e+00 real, optional,dimension(50) :: pcd2=0.00000e+00 real, optional,dimension(50) :: pcd3=0.00000e+00 real, optional,dimension(50) :: pbe1=0.00000e+00 real, optional,dimension(50) :: pbe2=0.00000e+00 real, optional,dimension(50) :: pbe3=0.00000e+00 real, optional,dimension(50) :: pce1=0.00000e+00 real, optional,dimension(50) :: pce2=0.00000e+00 real, optional,dimension(50) :: pce3=0.00000e+00 real, optional,dimension(50) :: pbf1=0.00000e+00 real, optional,dimension(50) :: pbf2=0.00000e+00 real, optional,dimension(50) :: pbf3=0.00000e+00 real, optional,dimension(50) :: pcf1=0.00000e+00 real, optional,dimension(50) :: pcf2=0.00000e+00 real, optional,dimension(50) :: pcf3=0.00000e+00 real, optional,dimension(50) :: pbg1=0.00000e+00 real, optional,dimension(50) :: pbg2=0.00000e+00 real, optional,dimension(50) :: pbg3=0.00000e+00 real, optional,dimension(50) :: pcg1=0.00000e+00 real, optional,dimension(50) :: pcg2=0.00000e+00 real, optional,dimension(50) :: pcg3=0.00000e+00 real, optional,dimension(50) :: pbh1=0.00000e+00 real, optional,dimension(50) :: pbh2=0.00000e+00 real, optional,dimension(50) :: pbh3=0.00000e+00 real, optional,dimension(50) :: pch1=0.00000e+00 real, optional,dimension(50) :: pch2=0.00000e+00 real, optional,dimension(50) :: pch3=0.00000e+00 real, optional,dimension(50) :: pbi1=0.00000e+00 real, optional,dimension(50) :: pbi2=0.00000e+00 real, optional,dimension(50) :: pci1=0.00000e+00 real, optional,dimension(50) :: pci2=0.00000e+00 real, optional,dimension(50) :: pbj1=0.00000e+00 real, optional,dimension(50) :: pbj2=0.00000e+00 real, optional,dimension(50) :: pcj1=0.00000e+00 real, optional,dimension(50) :: pcj2=-7.33184e-01 real, optional,dimension(50) :: pbk1=0.00000e+00 real, optional,dimension(50) :: pbk2=0.00000e+00 real, optional,dimension(50) :: pck1=0.00000e+00 real, optional,dimension(50) :: pck2=-6.06026e-01 real, optional,dimension(50) :: pbl1=0.00000e+00 real, optional,dimension(50) :: pbl2=0.00000e+00 real, optional,dimension(50) :: pcl1=0.00000e+00 real, optional,dimension(50) :: pcl2=1.63964e-02 real, optional,dimension(50) :: pbm1=0.00000e+00 real, optional,dimension(50) :: pbm2=0.00000e+00 real, optional,dimension(50) :: pcm1=0.00000e+00 real, optional,dimension(50) :: pcm2=3.48181e-01 real, optional,dimension(50) :: pbn1=0.00000e+00 real, optional,dimension(50) :: pbn2=0.00000e+00 real, optional,dimension(50) :: pcn1=0.00000e+00 real, optional,dimension(50) :: pcn2=3.79580e-01 real, optional,dimension(50) :: pbo1=0.00000e+00 real, optional,dimension(50) :: pbo2=0.00000e+00 real, optional,dimension(50) :: pco1=0.00000e+00 real, optional,dimension(50) :: pco2=6.37036e-01 real, optional,dimension(50) :: pbp1=0.00000e+00 real, optional,dimension(50) :: pbp2=0.00000e+00 real, optional,dimension(50) :: pcp1=0.00000e+00 real, optional,dimension(50) :: pcp2=9.80142e-01 real, optional,dimension(50) :: pbq1=0.00000e+00 real, optional,dimension(50) :: pbq2=0.00000e+00 real, optional,dimension(50) :: pcq1=0.00000e+00 real, optional,dimension(50) :: pcq2=7.31799e-01 real, optional,dimension(50) :: pbr1=0.00000e+00 real, optional,dimension(50) :: pbr2=0.00000e+00 real, optional,dimension(50) :: pcr1=0.00000e+00 real, optional,dimension(50) :: pcr2=3.07191e-01 real, optional,dimension(50) :: pbs1=0.00000e+00 real, optional,dimension(50) :: pbs2=0.00000e+00 real, optional,dimension(50) :: pcs1=0.00000e+00 real, optional,dimension(50) :: pcs2=1.09405e-02 real, optional,dimension(50) :: pbt1=0.00000e+00 real, optional,dimension(50) :: pbt2=0.00000e+00 real, optional,dimension(50) :: pct1=0.00000e+00 real, optional,dimension(50) :: pct2=0.00000e+00 real, optional,dimension(50) :: pbu1=0.00000e+00 real, optional,dimension(50) :: pbu2=0.00000e+00 real, optional,dimension(50) :: pcu1=0.00000e+00 real, optional,dimension(50) :: pcu2=0.00000e+00 common /datw/ isdate,istime,name common /parmw5/ pba1,pba2,pba3,pba4,pca1,pca2,pca3,pca4,pbb1,pbb2,pbb3,pcb1,pcb2,pcb3,pbc1,pbc2,pbc3,pcc1,pcc2,pcc3,pbd1,pbd2,pbd3,pcd1,pcd2,pcd3,pbe1,pbe2,pbe3,pce1,pce2,pce3,pbf1,pbf2,pbf3,pcf1,pcf2,pcf3,pbg1,pbg2,pbg3,pcg1,pcg2,pcg3,pbh1,pbh2,pbh3,pch1,pch2,pch3,pbi1,pbi2,pci1,pci2,pbj1,pbj2,pcj1,pcj2,pbk1,pbk2,pck1,pck2,pbl1,pbl2,pcl1,pcl2,pbm1,pbm2,pcm1,pcm2,pbn1,pbn2,pcn1,pcn2,pbo1,pbo2,pco1,pco2,pbp1,pbp2,pcp1,pcp2,pbq1,pbq2,pcq1,pcq2,pbr1,pbr2,pcr1,pcr2,pbs1,pbs2,pcs1,pcs2,pbt1,pbt2,pct1,pct2,pbu1,pbu2,pcu1,pcu2 end block data gwsbk5 end interface end python module hwm93 ! This file was auto-generated with f2py (version:2). ! See http://cens.ioc.ee/projects/f2py2e/ fluids-1.0.22/fluids/optional/gd2qd.dat0000644000175000017500000000273414302004506017216 0ustar nileshnilesh=@ùDzC¸‘’®ž ?¯ç'¥”ÿŒ3Ž³B  ?Þ_Ãè˜y¿”ÖœlµZh¿‘­ ä]?À½ïþŸƒ)¿€MŽ+î‡%?€P¸O,#¿8xë„×?—ïu[ñ¿N¢ ‘È‹? (,~€Š?½›ÐˆÖ‚z?(ÞßÑK’?êÉ¡7E¿´ýº“m?Úðà‡^‰j¿ì2ÅM?ÀgÜ…wð¿ðªÍAçÀ>?Ч‹Í÷7?€'¹-¿o?@›ûÔƒ?À£T3.¿È· ¢r_5?ðL}¡;Ö<¿4ØPþ½â„¿Ã6n[ôu?ºÄ‹Ò|àd¿*kKš»¯~¿f v%3ºC¿ûn gY?ðøJ^ÕÛ.?‹.ŽzæÂT¿ð'Š7?(ÊŽÞ÷’=¿P¿wåI40¿€9ŽÑ›”?xÿa*¿VöÎÝw‰¿6~¥ñ?Æ{¿/lªBa}˜?ÕôR¾´„¿Å7Cl‹…¿¼`áEÓp?_Ó3ä\¿;¨éç:Y?†8_ÆmßY¿Ð:éò2»R?®ì^M›Ñ9¿ ‰Ü¢5?Üo ²Rð¿%À ´²ã>•&.k¿YúÐ?Ukk¿ï÷˜âY>l¿,ñKÚÞ}¿g¯òÝ×e¿?“³=¿ðëû¯kxE¿Éc§«Ñ?Ìáv z&?<€32‡&?¼ß©O3¿Àg¸hÿ‹Ò>ÿÂî°O^¿ÅÄÕh?¥²»ˆe•e¿VyóîÝX?‚%£"Xa?b§d´"?€Ã}H@ý>¤ d¤®\¿õÇÐArö5?A†g¿Ôù¾ªŽw_¯£¿I»ÎöÎé?nŠgA’L ?˜I¡±{¿Wz#„f¿Àú‡Õ‡KI?€Öb$9HQ¿,óƒ}ô¿ é*Éù>§Þ°ˆ¿%Å6;È¿|§À¸…¿nQ¨µœÓŸ?”îBä‰o¢?`(ZSæ«o¿Š/¨;eBu¿0€Tw†T¿ýwp _¿Àd™NYU? ƨVO5X¿ ´Â_S ¿€Y_n÷Y8¿ ?j!x(?€Õ¯NzK/¿‰ù´g¿´‚û#fc³¿ÌaÁ4i¿Î]eÈ¿NÎ,IgÐ?P=8µˆ'8¿ 4{Ù22'¿ 8½x`R¿(sZSëm¿ Gú@6?@­ Lh5?€íí¥´?rPÔS7±v‹?ÌFÎüœt?,ä§Û³\?íbn„æd?Ø&ÉÎ?Èrm„7EV?Œh7¤n¨Y¿À6q»Ì2¿ DäU-28?à:b³·.3?"…Ý‘¿áoeÆp¿XB¡Ž>Ñ’?'â´€at[?ñ–?¿O?l_T”E¿óèúôXG¿¸iÍÕ$å2¿F: 7ñIJ¿€…\Ù Œ#?0g euð*?¸fluids-1.0.22/fluids/optional/__init__.py0000644000175000017500000000000114302004506017615 0ustar nileshnilesh fluids-1.0.22/fluids/optional/hwm14.f900000644000175000017500000013033614302004506017003 0ustar nileshnilesh!!! !!! Horizontal Wind Model 14 !!! !!! AUTHORS !!! Douglas Drob (0 to ~450+ km, quite-time) !!! John Emmert (disturbance winds, DWM Emmert et al., (2008)) !!! Geospace Science and Technology Branch !!! Space Science Division !!! Naval Research Laboratory !!! 4555 Overlook Ave. !!! Washington, DC 20375 !!! !!! Point of Contact !!! douglas.drob@nrl.navy.mil !!! !!! DATE !!! July 8, 2014 !!! !!! !!! !!!================================================================================ !!! Input arguments: !!! iyd - year and day as yyddd !!! sec - ut(sec) !!! alt - altitude(km) !!! glat - geodetic latitude(deg) !!! glon - geodetic longitude(deg) !!! stl - not used !!! f107a - not used !!! f107 - not used !!! ap - two element array with !!! ap(1) = not used !!! ap(2) = current 3hr ap index !!! !!! Output argument: !!! w(1) = meridional wind (m/sec + northward) !!! w(2) = zonal wind (m/sec + eastward) !!! !!!================================================================================ module hwm integer(4) :: nmaxhwm = 0 ! maximum degree hwmqt integer(4) :: omaxhwm = 0 ! maximum order hwmqt integer(4) :: nmaxdwm = 0 ! maximum degree hwmqt integer(4) :: mmaxdwm = 0 ! maximum order hwmqt integer(4) :: nmaxqdc = 0 ! maximum degree of coordinate coversion integer(4) :: mmaxqdc = 0 ! maximum order of coordinate coversion integer(4) :: nmaxgeo = 0 ! maximum of nmaxhwm, nmaxqd integer(4) :: mmaxgeo = 0 ! maximum of omaxhwm, nmaxqd real(8),allocatable :: gpbar(:,:),gvbar(:,:),gwbar(:,:) ! alfs for geo coordinates real(8),allocatable :: spbar(:,:),svbar(:,:),swbar(:,:) ! alfs MLT calculation real(8) :: glatalf = -1.d32 logical :: hwminit = .true. end module hwm subroutine hwm14(iyd,sec,alt,glat,glon,stl,f107a,f107,ap,w) use hwm implicit none integer(4),intent(in) :: iyd real(4),intent(in) :: sec,alt,glat,glon,stl,f107a,f107 real(4),intent(in) :: ap(2) real(4),intent(out) :: w(2) real(4) :: dw(2) if (hwminit) call inithwm() call hwmqt(iyd,sec,alt,glat,glon,stl,f107a,f107,ap,w) if (ap(2) .ge. 0.0) then call dwm07(iyd,sec,alt,glat,glon,ap,dw) w = w + dw endif return end subroutine hwm14 ! ################################################################################ ! Portable utility to compute vector spherical harmonical harmonic basis functions ! ################################################################################ module alf implicit none integer(4) :: nmax0,mmax0 ! static normalizational coeffiecents real(8), allocatable :: anm(:,:),bnm(:,:),dnm(:,:) real(8), allocatable :: cm(:),en(:) real(8), allocatable :: marr(:),narr(:) contains ! ------------------------------------------------------------- ! routine to compute vector spherical harmonic basis functions ! ------------------------------------------------------------- subroutine alfbasis(nmax,mmax,theta,P,V,W) implicit none integer(4), intent(in) :: nmax, mmax real(8), intent(in) :: theta real(8), intent(out) :: P(0:nmax,0:mmax) real(8), intent(out) :: V(0:nmax,0:mmax) real(8), intent(out) :: W(0:nmax,0:mmax) integer(8) :: n, m real(8) :: x, y real(8), parameter :: p00 = 0.70710678118654746d0 P(0,0) = p00 x = dcos(theta) y = dsin(theta) do m = 1, mmax W(m,m) = cm(m) * P(m-1,m-1) P(m,m) = y * en(m) * W(m,m) do n = m+1, nmax W(n,m) = anm(n,m) * x * W(n-1,m) - bnm(n,m) * W(n-2,m) P(n,m) = y * en(n) * W(n,m) V(n,m) = narr(n) * x * W(n,m) - dnm(n,m) * W(n-1,m) W(n-2,m) = marr(m) * W(n-2,m) enddo W(nmax-1,m) = marr(m) * W(nmax-1,m) W(nmax,m) = marr(m) * W(nmax,m) V(m,m) = x * W(m,m) enddo P(1,0) = anm(1,0) * x * P(0,0) V(1,0) = -P(1,1) do n = 2, nmax P(n,0) = anm(n,0) * x * P(n-1,0) - bnm(n,0) * P(n-2,0) V(n,0) = -P(n,1) enddo return end subroutine alfbasis ! ----------------------------------------------------- ! routine to compute static normalization coeffiecents ! ----------------------------------------------------- subroutine initalf(nmaxin,mmaxin) implicit none integer(4), intent(in) :: nmaxin, mmaxin integer(8) :: n, m ! 64 bits to avoid overflow for (m,n) > 60 nmax0 = nmaxin mmax0 = mmaxin if (allocated(anm)) deallocate(anm, bnm, cm, dnm, en, marr, narr) allocate( anm(0:nmax0, 0:mmax0) ) allocate( bnm(0:nmax0, 0:mmax0) ) allocate( cm(0:mmax0) ) allocate( dnm(0:nmax0, 0:mmax0) ) allocate( en(0:nmax0) ) allocate( marr(0:mmax0) ) allocate( narr(0:nmax0) ) do n = 1, nmax0 narr(n) = dble(n) en(n) = dsqrt(dble(n*(n+1))) anm(n,0) = dsqrt( dble((2*n-1)*(2*n+1)) ) / narr(n) bnm(n,0) = dsqrt( dble((2*n+1)*(n-1)*(n-1)) / dble(2*n-3) ) / narr(n) end do do m = 1, mmax0 marr(m) = dble(m) cm(m) = dsqrt(dble(2*m+1)/dble(2*m*m*(m+1))) do n = m+1, nmax0 anm(n,m) = dsqrt( dble((2*n-1)*(2*n+1)*(n-1)) / dble((n-m)*(n+m)*(n+1)) ) bnm(n,m) = dsqrt( dble((2*n+1)*(n+m-1)*(n-m-1)*(n-2)*(n-1)) & / dble((n-m)*(n+m)*(2*n-3)*n*(n+1)) ) dnm(n,m) = dsqrt( dble((n-m)*(n+m)*(2*n+1)*(n-1)) / dble((2*n-1)*(n+1)) ) end do enddo return end subroutine initalf end module alf !#################################################################################### ! Model Modules !#################################################################################### module qwm implicit none integer(4) :: nbf ! Count of basis terms per model level integer(4) :: maxn ! latitude integer(4) :: maxs,maxm,maxl ! seasonal,stationary,migrating integer(4) :: maxo integer(4) :: p ! B-splines order, p=4 cubic, p=3 quadratic integer(4) :: nlev ! e.g. Number of B-spline nodes integer(4) :: nnode ! nlev + p real(8) :: alttns ! Transition 1 real(8) :: altsym ! Transition 2 real(8) :: altiso ! Constant Limit real(8) :: e1(0:4) real(8) :: e2(0:4) real(8),parameter :: H = 60.0d0 integer(4),allocatable :: nb(:) ! total number of basis functions @ level integer(4),allocatable :: order(:,:) ! spectral content @ level real(8),allocatable :: vnode(:) ! Vertical Altitude Nodes real(8),allocatable :: mparm(:,:) ! Model Parameters real(8),allocatable :: tparm(:,:) ! Model Parameters real(8) :: previous(1:5) = -1.0d32 integer(4) :: priornb = 0 real(8),allocatable :: fs(:,:),fm(:,:),fl(:,:) real(8),allocatable :: bz(:),bm(:) real(8),allocatable :: zwght(:) integer(4) :: lev integer(4) :: cseason = 0 integer(4) :: cwave = 0 integer(4) :: ctide = 0 logical :: content(5) = .true. ! Season/Waves/Tides logical :: component(0:1) = .true. ! Compute zonal/meridional character(128) :: qwmdefault = 'hwm123114.bin' logical :: qwminit = .true. real(8) :: wavefactor(4) = 1.0 real(8) :: tidefactor(4) = 1.0 end module qwm module dwm implicit none integer(4) :: nterm ! Number of terms in the model integer(4) :: nmax,mmax ! Max latitudinal degree integer(4) :: nvshterm ! # of VSH basis functions integer(4),allocatable :: termarr(:,:) ! 3 x nterm index of coupled terms real(4),allocatable :: coeff(:) ! Model coefficients real(4),allocatable :: vshterms(:,:) ! VSH basis values real(4),allocatable :: termval(:,:) ! Term values to which coefficients are applied real(8),allocatable :: dpbar(:,:) ! Associated lengendre fns real(8),allocatable :: dvbar(:,:) real(8),allocatable :: dwbar(:,:) real(8),allocatable :: mltterms(:,:) ! MLT Fourier terms real(4) :: twidth ! Transition width of high-lat mask real(8), parameter :: pi=3.1415926535897932 real(8), parameter :: dtor=pi/180.d0 logical :: dwminit = .true. character(128), parameter :: dwmdefault = 'dwm07b104i.dat' end module dwm subroutine inithwm() use hwm use qwm use dwm use alf,only:initalf implicit none integer(4) :: nmax0, mmax0 call initqwm(qwmdefault) call initdwm(nmaxdwm, mmaxdwm) nmaxgeo = max(nmaxhwm, nmaxqdc) mmaxgeo = max(omaxhwm, mmaxqdc) nmax0 = max(nmaxgeo, nmaxdwm) mmax0 = max(mmaxgeo, mmaxdwm) call initalf(nmax0,mmax0) ! shared for QWM and DWM, no need to compute twice if (allocated(gpbar)) deallocate(gpbar,gvbar,gwbar) allocate(gpbar(0:nmaxgeo,0:mmaxgeo)) allocate(gvbar(0:nmaxgeo,0:mmaxgeo)) allocate(gwbar(0:nmaxgeo,0:mmaxgeo)) gpbar = 0 gvbar = 0 gwbar = 0 if (allocated(spbar)) deallocate(spbar,svbar,swbar) allocate(spbar(0:nmaxgeo,0:mmaxgeo)) allocate(svbar(0:nmaxgeo,0:mmaxgeo)) allocate(swbar(0:nmaxgeo,0:mmaxgeo)) spbar = 0 svbar = 0 swbar = 0 hwminit = .false. return end subroutine inithwm ! ######################################################################################## ! The quiet time model functions ! ######################################################################################## !============================================================================ ! A routine to load the quiet time HWM coeffiecents into memory !============================================================================ subroutine initqwm(filename) use qwm use hwm,only:omaxhwm,nmaxhwm implicit none character(128),intent(in) :: filename integer(4) :: i,j integer(4) :: ncomp if (allocated(vnode)) then deallocate(order,nb,vnode,mparm,tparm) deallocate(fs,fm,fl,zwght,bz,bm) endif call findandopen(filename,23) read(23) nbf,maxs,maxm,maxl,maxn,ncomp read(23) nlev,p nnode = nlev + p allocate(nb(0:nnode),order(ncomp,0:nnode),vnode(0:nnode)) read(23) vnode vnode(3) = 0.0 allocate(mparm(nbf,0:nlev)) mparm = 0.0d0 do i = 0,nlev-p+1-2 read(23) order(1:ncomp,i) read(23) nb(i) read(23) mparm(1:nbf,i) enddo read(23) e1,e2 close(23) ! Calculate the parity relationship permutations allocate(tparm(nbf,0:nlev)) do i = 0,nlev-p+1-2 call parity(order(:,i),nb(i),mparm(:,i),tparm(:,i)) enddo ! Set transition levels alttns = vnode(nlev-2) altsym = vnode(nlev-1) altiso = vnode(nlev) ! Allocate the global store of quasi-static parameters maxo = max(maxs,maxm,maxl) omaxhwm = maxo nmaxhwm = maxn allocate(fs(0:maxs,2),fm(0:maxm,2),fl(0:maxl,2)) allocate(bz(nbf),bm(nbf)) allocate(zwght(0:p)) bz = 0.0d0 bm = 0.0d0 ! change the initialization flag and reset some other things previous(1:5) = -1.0d32 qwminit = .false. qwmdefault = filename return contains subroutine parity(order,nb,mparm,tparm) implicit none integer(4),intent(in) :: order(8) integer(4),intent(in) :: nb real(8),intent(inout) :: mparm(nb) real(8),intent(out) :: tparm(nb) integer(4) :: c,m,n,s,l integer(4) :: amaxs,amaxn integer(4) :: pmaxm,pmaxs,pmaxn integer(4) :: tmaxl,tmaxs,tmaxn amaxs = order(1) amaxn = order(2) pmaxm = order(3) pmaxs = order(4) pmaxn = order(5) tmaxl = order(6) tmaxs = order(7) tmaxn = order(8) c = 1 do n = 1,amaxn tparm(c) = 0.0 tparm(c+1) = -mparm(c+1) mparm(c+1) = 0.0 c = c + 2 enddo do s = 1,amaxs do n = 1,amaxn tparm(c) = 0.0 tparm(c+1) = 0.0 tparm(c+2) = -mparm(c+2) tparm(c+3) = -mparm(c+3) mparm(c+2) = 0.0 mparm(c+3) = 0.0 c = c + 4 enddo enddo do m = 1,pmaxm do n = m,pmaxn tparm(c) = mparm(c+2) tparm(c+1) = mparm(c+3) tparm(c+2) = -mparm(c) tparm(c+3) = -mparm(c+1) c = c + 4 enddo do s = 1,pmaxs do n = m,pmaxn tparm(c) = mparm(c+2) tparm(c+1) = mparm(c+3) tparm(c+2) = -mparm(c) tparm(c+3) = -mparm(c+1) tparm(c+4) = mparm(c+6) tparm(c+5) = mparm(c+7) tparm(c+6) = -mparm(c+4) tparm(c+7) = -mparm(c+5) c = c + 8 enddo enddo enddo do l = 1,tmaxl do n = l,tmaxn tparm(c) = mparm(c+2) tparm(c+1) = mparm(c+3) tparm(c+2) = -mparm(c) tparm(c+3) = -mparm(c+1) c = c + 4 enddo do s = 1,tmaxs do n = l,tmaxn tparm(c) = mparm(c+2) tparm(c+1) = mparm(c+3) tparm(c+2) = -mparm(c) tparm(c+3) = -mparm(c+1) tparm(c+4) = mparm(c+6) tparm(c+5) = mparm(c+7) tparm(c+6) = -mparm(c+4) tparm(c+7) = -mparm(c+5) c = c + 8 enddo enddo enddo return end subroutine parity end subroutine initqwm ! ------------------------------------------------------------ ! The quiet time only HWM function call ! ------------------------------------------------------------ subroutine hwmqt(IYD,SEC,ALT,GLAT,GLON,STL,F107A,F107,AP,W) use hwm use qwm use alf,only:alfbasis implicit none integer,intent(in) :: IYD real(4),intent(in) :: SEC,ALT,GLAT,GLON,STL,F107A,F107 real(4),intent(in) :: AP(2) real(4),intent(out) :: W(2) ! Local variables real(8) :: input(5) real(8) :: u,v real(8) :: cs,ss,cm,sm,cl,sl real(8) :: cmcs,smcs,cmss,smss real(8) :: clcs,slcs,clss,slss real(8) :: AA,BB,CC,DD real(8) :: vb,wb real(8) :: theta,sc integer(4) :: b,c,d,m,n,s,l integer(4) :: amaxs,amaxn integer(4) :: pmaxm,pmaxs,pmaxn integer(4) :: tmaxl,tmaxs,tmaxn logical :: refresh(5) real(8),parameter :: twoPi = 2.0d0*3.1415926535897932384626433832795d0 real(8),parameter :: deg2rad = twoPi/360.0d0 ! ==================================================================== ! Update VSH model terms based on any change in the input parameters ! ==================================================================== if (qwminit) call initqwm(qwmdefault) input(1) = dble(mod(IYD,1000)) input(2) = dble(sec) input(3) = dble(glon) input(4) = dble(glat) input(5) = dble(alt) refresh(1:5) = .false. ! Seasonal variations if (input(1) .ne. previous(1)) then AA = input(1)*twoPi/365.25d0 do s = 0,MAXS BB = dble(s)*AA fs(s,1) = dcos(BB) fs(s,2) = dsin(BB) enddo refresh(1:5) = .true. previous(1) = input(1) endif ! Hourly time changes, tidal variations if (input(2) .ne. previous(2) .or. input(3) .ne. previous(3)) then AA = mod(input(2)/3600.d0 + input(3)/15.d0 + 48.d0,24.d0) BB = AA*twoPi/24.d0 do l = 0,MAXL CC = dble(l)*BB fl(l,1) = dcos(CC) fl(l,2) = dsin(CC) enddo refresh(3) = .true. ! tides previous(2) = input(2) endif ! Longitudinal variations, stationary planetary waves if (input(3) .ne. previous(3)) then AA = input(3)*deg2rad do m = 0,MAXM BB = dble(m)*AA fm(m,1) = dcos(BB) fm(m,2) = dsin(BB) enddo refresh(2) = .true. ! stationary planetary waves previous(3) = input(3) endif ! Latitude theta = (90.0d0 - input(4))*deg2rad if (input(4) .ne. glatalf) then AA = (90.0d0 - input(4))*deg2rad ! theta = colatitude in radians call alfbasis(maxn,maxm,AA,gpbar,gvbar,gwbar) refresh(1:4) = .true. glatalf = input(4) previous(4) = input(4) endif ! Altitude if (input(5) .ne. previous(5)) then call vertwght(input(5),zwght,lev) previous(5) = input(5) endif ! ==================================================================== ! Calculate the VSH functions ! ==================================================================== u = 0.0d0 v = 0.0d0 do b = 0,p if (zwght(b) .eq. 0.d0) cycle d = b + lev if (priornb .ne. nb(d)) refresh(1:5) = .true. ! recalculate basis functions priornb = nb(d) if (.not. any(refresh)) then c = nb(d) if (component(0)) u = u + zwght(b)*dot_product(bz(1:c),mparm(1:c,d)) if (component(1)) v = v + zwght(b)*dot_product(bz(1:c),tparm(1:c,d)) cycle endif amaxs = order(1,d) amaxn = order(2,d) pmaxm = order(3,d) pmaxs = order(4,d) pmaxn = order(5,d) tmaxl = order(6,d) tmaxs = order(7,d) tmaxn = order(8,d) c = 1 ! ------------- Seasonal - Zonal average (m = 0) ---------------- if (refresh(1) .and. content(1)) then do n = 1,amaxn ! s = 0 bz(c) = -dsin(n*theta) ! bz(c+1) = dsin(n*theta) c = c + 2 enddo do s = 1,amaxs ! Seasonal variations cs = fs(s,1) ss = fs(s,2) do n = 1,amaxn sc = dsin(n*theta) bz(c) = -sc*cs ! Cr A bz(c+1) = sc*ss ! Ci B bz(c+2) = sc*cs bz(c+3) = -sc*ss c = c + 4 enddo enddo cseason = c else c = cseason endif ! ---------------- Stationary planetary waves -------------------- if (refresh(2) .and. content(2)) then do m = 1,pmaxm cm = fm(m,1)*wavefactor(m) sm = fm(m,2)*wavefactor(m) do n = m,pmaxn ! s = 0 vb = gvbar(n,m) wb = gwbar(n,m) bz(c) = -vb*cm ! Cr * (cm) * -vb A bz(c+1) = vb*sm ! Ci * (sm) * vb B bz(c+2) = -wb*sm ! Br * (sm) * -wb C bz(c+3) = -wb*cm ! Bi * (cm) * -wb D c = c + 4 enddo do s = 1,pmaxs cs = fs(s,1) ss = fs(s,2) do n = m,pmaxn vb = gvbar(n,m) wb = gwbar(n,m) bz(c) = -vb*cm*cs ! Crc * (cmcs) * -vb A bz(c+1) = vb*sm*cs ! Cic * (smcs) * vb B bz(c+2) = -wb*sm*cs ! Brc * (smcs) * -wb C bz(c+3) = -wb*cm*cs ! Bic * (cmcs) * -wb D bz(c+4) = -vb*cm*ss ! Crs * (cmss) * -vb E bz(c+5) = vb*sm*ss ! Cis * (smss) * vb F bz(c+6) = -wb*sm*ss ! Brs * (smss) * -wb G bz(c+7) = -wb*cm*ss ! Bis * (cmss) * -wb H c = c + 8 enddo enddo cwave = c enddo else c = cwave endif ! ---------------- Migrating Solar Tides --------------------- if (refresh(3) .and. content(3)) then do l = 1,tmaxl cl = fl(l,1)*tidefactor(l) sl = fl(l,2)*tidefactor(l) do n = l,tmaxn ! s = 0 vb = gvbar(n,l) wb = gwbar(n,l) bz(c) = -vb*cl ! Cr * (cl) * -vb bz(c+1) = vb*sl ! Ci * (sl) * vb bz(c+2) = -wb*sl ! Br * (sl) * -wb bz(c+3) = -wb*cl ! Bi * (cl) * -wb c = c + 4 enddo do s = 1,tmaxs cs = fs(s,1) ss = fs(s,2) do n = l,tmaxn vb = gvbar(n,l) wb = gwbar(n,l) bz(c) = -vb*cl*cs ! Crc * (clcs) * -vb bz(c+1) = vb*sl*cs ! Cic * (slcs) * vb bz(c+2) = -wb*sl*cs ! Brc * (slcs) * -wb bz(c+3) = -wb*cl*cs ! Bic * (clcs) * -wb bz(c+4) = -vb*cl*ss ! Crs * (clss) * -vb bz(c+5) = vb*sl*ss ! Cis * (slss) * vb bz(c+6) = -wb*sl*ss ! Brs * (slss) * -wb bz(c+7) = -wb*cl*ss ! Bis * (clss) * -wb c = c + 8 enddo enddo ctide = c enddo else c = ctide endif ! ---------------- Non-Migrating Solar Tides ------------------ ! TBD c = c - 1 ! ==================================================================== ! Calculate the wind components ! ==================================================================== if (component(0)) u = u + zwght(b)*dot_product(bz(1:c),mparm(1:c,d)) if (component(1)) v = v + zwght(b)*dot_product(bz(1:c),tparm(1:c,d)) enddo w(1) = sngl(v) w(2) = sngl(u) return end subroutine hwmqt subroutine vertwght(alt,wght,iz) use qwm implicit none real(8),intent(in) :: alt real(8),intent(out) :: wght(4) integer(4),intent(out) :: iz real(8) :: we(0:4) iz = findspan(nnode-p-1_4,p,alt,vnode) - p iz = min(iz,26) wght(1) = bspline(p,nnode,vnode,iz,alt) wght(2) = bspline(p,nnode,vnode,iz+1_4,alt) if (iz .le. 25) then wght(3) = bspline(p,nnode,vnode,iz+2_4,alt) wght(4) = bspline(p,nnode,vnode,iz+3_4,alt) return endif if (alt .gt. alttns) then we(0) = 0.0d0 we(1) = 0.0d0 we(2) = 0.0d0 we(3) = exp(-(alt - alttns)/H) we(4) = 1.0d0 else we(0) = bspline(p,nnode,vnode,iz+2_4,alt) we(1) = bspline(p,nnode,vnode,iz+3_4,alt) we(2) = bspline(p,nnode,vnode,iz+4_4,alt) we(3) = 0.0d0 we(4) = 0.0d0 endif wght(3) = dot_product(we,e1) wght(4) = dot_product(we,e2) return contains function bspline(p,m,V,i,u) implicit none real(8) :: bspline integer(4) :: p,m real(8) :: V(0:m) integer(4) :: i real(8) :: u real(8) :: N(0:p+1) real(8) :: Vleft,Vright real(8) :: saved,temp integer(4) :: j,k if ((i .eq. 0) .and. (u .eq. V(0))) then bspline = 1.d0 return endif if ((i .eq. (m-p-1)) .and. (u .eq. V(m))) then bspline = 1.d0 return endif if (u .lt. V(i) .or. u .ge. V(i+p+1)) then bspline = 0.d0 return endif N = 0.0d0 do j = 0,p if (u .ge. V(i+j) .and. u .lt. V(i+j+1)) then N(j) = 1.0d0 else N(j) = 0.0d0 endif enddo do k = 1,p if (N(0) .eq. 0.d0) then saved = 0.d0 else saved = ((u - V(i))*N(0))/(V(i+k) - V(i)) endif do j = 0,p-k Vleft = V(i+j+1) Vright = V(i+j+k+1) if (N(j+1) .eq. 0.d0) then N(j) = saved saved = 0.d0 else temp = N(j+1)/(Vright - Vleft) N(j) = saved + (Vright - u)*temp saved = (u - Vleft)*temp endif enddo enddo bspline = N(0) return end function bspline ! ===================================================== ! Function to locate the knot span ! ===================================================== integer(4) function findspan(n,p,u,V) implicit none integer(4),intent(in) :: n,p real(8),intent(in) :: u real(8),intent(in) :: V(0:n+1) integer(4) :: low,mid,high if (u .ge. V(n+1)) then findspan = n return endif low = p high = n+1 mid = (low + high)/2 do while (u .lt. V(mid) .or. u .ge. V(mid + 1)) if (u .lt. V(mid)) then high = mid else low = mid endif mid = (low + high)/2 end do findspan = mid return end function findspan end subroutine vertwght ! ################################################################################# ! Disturbance Wind Model Functions ! ################################################################################# subroutine initdwm(nmaxout,mmaxout) use hwm use dwm implicit none integer(4),intent(out) :: nmaxout, mmaxout call findandopen(dwmdefault,23) if (allocated(termarr)) deallocate(termarr,coeff) read(23) nterm, mmax, nmax allocate(termarr(0:2, 0:nterm-1)) read(23) termarr allocate(coeff(0:nterm-1)) read(23) coeff read(23) twidth close(23) if (allocated(termval)) deallocate(termval,dpbar,dvbar,dwbar,mltterms,vshterms) nvshterm = ( ((nmax+1)*(nmax+2) - (nmax-mmax)*(nmax-mmax+1))/2 - 1 ) * 4 - 2*nmax allocate(termval(0:1, 0:nterm-1)) allocate(dpbar(0:nmax,0:mmax),dvbar(0:nmax,0:mmax),dwbar(0:nmax,0:mmax)) allocate(mltterms(0:mmax,0:1)) allocate(vshterms(0:1, 0:nvshterm-1)) dpbar = 0 dvbar = 0 dwbar = 0 nmaxout = nmax mmaxout = mmax dwminit = .false. return end subroutine initdwm subroutine dwm07(IYD,SEC,ALT,GLAT,GLON,AP,DW) use hwm use dwm implicit none INTEGER,intent(in) :: IYD REAL(4),intent(in) :: SEC,ALT,GLAT,GLON REAL(4),intent(in) :: AP(2) REAL(4),intent(out) :: DW(2) real(4), save :: day, ut, mlat, mlon, mlt, kp real(4) :: mmpwind, mzpwind real(4), save :: f1e, f1n, f2e, f2n real(4), save :: glatlast=1.0e16, glonlast=1.0e16 real(4), save :: daylast=1.0e16, utlast=1.0e16, aplast=1.0e16 real(4), parameter :: talt=125.0 !, twidth=5.0 real(4), external :: ap2kp, mltcalc !CONVERT AP TO KP if (ap(2) .ne. aplast) then kp = ap2kp(ap(2)) endif !CONVERT GEO LAT/LON TO QD LAT/LON if ((glat .ne. glatlast) .or. (glon .ne. glonlast)) then call gd2qd(glat,glon,mlat,mlon,f1e,f1n,f2e,f2n) endif !COMPUTE QD MAGNETIC LOCAL TIME (LOW-PRECISION) day = real(mod(iyd,1000)) ut = sec / 3600.0 if ((day .ne. daylast) .or. (ut .ne. utlast) .or. & (glat .ne. glatlast) .or. (glon .ne. glonlast)) then mlt = mltcalc(mlat,mlon,day,ut) endif !RETRIEVE DWM WINDS call dwm07b(mlt, mlat, kp, mmpwind, mzpwind) !CONVERT TO GEOGRAPHIC COORDINATES dw(1) = f2n*mmpwind + f1n*mzpwind dw(2) = f2e*mmpwind + f1e*mzpwind !APPLY HEIGHT PROFILE dw = dw / (1 + exp(-(alt - talt)/twidth)) glatlast = glat glonlast = glon daylast = day utlast = ut aplast = ap(2) return end subroutine dwm07 subroutine dwm07b(mlt, mlat, kp, mmpwind, mzpwind) use hwm use dwm use alf,only:alfbasis implicit none real(4),intent(in) :: mlt !Magnetic local time (hours) real(4),intent(in) :: mlat !Magnetic latitude (degrees) real(4),intent(in) :: kp !3-hour Kp real(4),intent(out) :: mmpwind !Mer. disturbance wind (+north, QD coordinates) real(4),intent(out) :: mzpwind !Zon. disturbance wind (+east, QD coordinates) ! Local variables integer(4) :: iterm, ivshterm, n, m real(4) :: termvaltemp(0:1) real(4),save :: kpterms(0:2) real(4) :: latwgtterm real(4),save :: mltlast=1.e16, mlatlast=1.e16, kplast=1.e16 real(8) :: theta, phi, mphi real(4),external :: latwgt2 !LOAD MODEL PARAMETERS IF NECESSARY if (dwminit) call initdwm(nmaxdwm, mmaxdwm) !COMPUTE LATITUDE PART OF VSH TERMS if (mlat .ne. mlatlast) then theta = (90.d0 - dble(mlat))*dtor call alfbasis(nmax,mmax,theta,dpbar,dvbar,dwbar) endif !COMPUTE MLT PART OF VSH TERMS if (mlt .ne. mltlast) then phi = dble(mlt)*dtor*15.d0 do m = 0, mmax mphi = dble(m)*phi mltterms(m,0) = dcos(mphi) mltterms(m,1) = dsin(mphi) enddo endif !COMPUTE VSH TERMS if ((mlat .ne. mlatlast) .or. (mlt .ne. mltlast)) then ivshterm = 0 do n = 1, nmax vshterms(0,ivshterm) = -sngl(dvbar(n,0)*mltterms(0,0)) vshterms(0,ivshterm+1) = sngl(dwbar(n,0)*mltterms(0,0)) vshterms(1,ivshterm) = -vshterms(0,ivshterm+1) vshterms(1,ivshterm+1) = vshterms(0,ivshterm) ivshterm = ivshterm + 2 do m = 1, mmax if (m .gt. n) cycle vshterms(0,ivshterm) = -sngl(dvbar(n,m)*mltterms(m,0)) vshterms(0,ivshterm+1) = sngl(dvbar(n,m)*mltterms(m,1)) vshterms(0,ivshterm+2) = sngl(dwbar(n,m)*mltterms(m,1)) vshterms(0,ivshterm+3) = sngl(dwbar(n,m)*mltterms(m,0)) vshterms(1,ivshterm) = -vshterms(0,ivshterm+2) vshterms(1,ivshterm+1) = -vshterms(0,ivshterm+3) vshterms(1,ivshterm+2) = vshterms(0,ivshterm) vshterms(1,ivshterm+3) = vshterms(0,ivshterm+1) ivshterm = ivshterm + 4 enddo enddo endif !COMPUTE KP TERMS if (kp .ne. kplast) then call kpspl3(kp, kpterms) endif !COMPUTE LATITUDINAL WEIGHTING TERM latwgtterm = latwgt2(mlat, mlt, kp, twidth) !GENERATE COUPLED TERMS do iterm = 0, nterm-1 termvaltemp = (/1.0, 1.0/) if (termarr(0,iterm) .ne. 999) termvaltemp = termvaltemp * vshterms(0:1,termarr(0,iterm)) if (termarr(1,iterm) .ne. 999) termvaltemp = termvaltemp * kpterms(termarr(1,iterm)) if (termarr(2,iterm) .ne. 999) termvaltemp = termvaltemp * latwgtterm termval(0:1,iterm) = termvaltemp(0:1) enddo !APPLY COEFFICIENTS mmpwind = dot_product(coeff, termval(0,0:nterm-1)) mzpwind = dot_product(coeff, termval(1,0:nterm-1)) mlatlast = mlat mltlast = mlt kplast = kp return end subroutine dwm07b !================================================================================= ! Convert Ap to Kp !================================================================================= function ap2kp(ap0) real(4), parameter :: apgrid(0:27) = (/0.,2.,3.,4.,5.,6.,7.,9.,12.,15.,18., & 22.,27.,32.,39.,48.,56.,67.,80.,94., & 111.,132.,154.,179.,207.,236.,300.,400./) real(4), parameter :: kpgrid(0:27) = (/0.,1.,2.,3.,4.,5.,6.,7.,8.,9.,10.,11., & 12.,13.,14.,15.,16.,17.,18.,19.,20.,21., & 22.,23.,24.,25.,26.,27./) / 3.0 real(4) :: ap0, ap, ap2kp integer(4) :: i ap = ap0 if (ap .lt. 0) ap = 0 if (ap .gt. 400) ap = 400 i = 1 do while (ap .gt. apgrid(i)) i = i + 1 end do if (ap .eq. apgrid(i)) then ap2kp = kpgrid(i) else ap2kp = kpgrid(i-1) + (ap - apgrid(i-1)) / (3.0 * (apgrid(i) - apgrid(i-1))) end if return end function ap2kp ! ######################################################################## ! Geographic <=> Geomagnetic Coordinate Transformations ! ! Converts geodetic coordinates to Quasi-Dipole coordinates (Richmond, J. Geomag. ! Geoelec., 1995, p. 191), using a spherical harmonic representation. ! ! ######################################################################## module gd2qdc implicit none integer(4) :: nterm, nmax, mmax !Spherical harmonic expansion parameters real(8), allocatable :: coeff(:,:) !Coefficients for spherical harmonic expansion real(8), allocatable :: xcoeff(:) !Coefficients for x coordinate real(8), allocatable :: ycoeff(:) !Coefficients for y coordinate real(8), allocatable :: zcoeff(:) !Coefficients for z coordinate real(8), allocatable :: sh(:) !Array to hold spherical harmonic functions real(8), allocatable :: shgradtheta(:) !Array to hold spherical harmonic gradients real(8), allocatable :: shgradphi(:) !Array to hold spherical harmonic gradients real(8), allocatable :: normadj(:) !Adjustment to VSH normalization factor real(4) :: epoch, alt real(8), parameter :: pi = 3.1415926535897932d0 real(8), parameter :: dtor = pi/180.0d0 real(8), parameter :: sineps = 0.39781868d0 logical :: gd2qdinit = .true. contains subroutine initgd2qd() use hwm implicit none character(128), parameter :: datafile='gd2qd.dat' integer(4) :: iterm, n integer(4) :: j call findandopen(datafile,23) read(23) nmax, mmax, nterm, epoch, alt if (allocated(coeff)) then deallocate(coeff,xcoeff,ycoeff,zcoeff,sh,shgradtheta,shgradphi,normadj) endif allocate( coeff(0:nterm-1, 0:2) ) read(23) coeff close(23) allocate( xcoeff(0:nterm-1) ) allocate( ycoeff(0:nterm-1) ) allocate( zcoeff(0:nterm-1) ) allocate( sh(0:nterm-1) ) allocate( shgradtheta(0:nterm-1) ) allocate( shgradphi(0:nterm-1) ) allocate( normadj(0:nmax) ) do iterm = 0, nterm-1 xcoeff(iterm) = coeff(iterm,0) ycoeff(iterm) = coeff(iterm,1) zcoeff(iterm) = coeff(iterm,2) enddo do n = 0, nmax normadj(n) = dsqrt(dble(n*(n+1))) end do nmaxqdc = nmax mmaxqdc = mmax gd2qdinit = .false. return end subroutine initgd2qd end module gd2qdc subroutine gd2qd(glatin,glon,qlat,qlon,f1e,f1n,f2e,f2n) use hwm use gd2qdc use alf implicit none real(4), intent(in) :: glatin, glon real(4), intent(out) :: qlat, qlon real(4), intent(out) :: f1e, f1n, f2e, f2n integer(4) :: n, m, i real(8) :: glat, theta, phi real(8) :: mphi, cosmphi, sinmphi real(8) :: x, y, z real(8) :: cosqlat, cosqlon, sinqlon real(8) :: xgradtheta, ygradtheta, zgradtheta real(8) :: xgradphi, ygradphi, zgradphi real(8) :: qlonrad if (gd2qdinit) call initgd2qd() glat = dble(glatin) if (glat .ne. glatalf) then theta = (90.d0 - glat) * dtor call alfbasis(nmax,mmax,theta,gpbar,gvbar,gwbar) glatalf = glat endif phi = dble(glon) * dtor i = 0 do n = 0, nmax sh(i) = gpbar(n,0) shgradtheta(i) = gvbar(n,0) * normadj(n) shgradphi(i) = 0 i = i + 1 enddo do m = 1, mmax mphi = dble(m) * phi cosmphi = dcos(mphi) sinmphi = dsin(mphi) do n = m, nmax sh(i) = gpbar(n,m) * cosmphi sh(i+1) = gpbar(n,m) * sinmphi shgradtheta(i) = gvbar(n,m) * normadj(n) * cosmphi shgradtheta(i+1) = gvbar(n,m) * normadj(n) * sinmphi shgradphi(i) = -gwbar(n,m) * normadj(n) * sinmphi shgradphi(i+1) = gwbar(n,m) * normadj(n) * cosmphi i = i + 2 enddo enddo x = dot_product(sh, xcoeff) y = dot_product(sh, ycoeff) z = dot_product(sh, zcoeff) qlonrad = datan2(y,x) cosqlon = dcos(qlonrad) sinqlon = dsin(qlonrad) cosqlat = x*cosqlon + y*sinqlon qlat = sngl(datan2(z,cosqlat) / dtor) qlon = sngl(qlonrad / dtor) xgradtheta = dot_product(shgradtheta, xcoeff) ygradtheta = dot_product(shgradtheta, ycoeff) zgradtheta = dot_product(shgradtheta, zcoeff) xgradphi = dot_product(shgradphi, xcoeff) ygradphi = dot_product(shgradphi, ycoeff) zgradphi = dot_product(shgradphi, zcoeff) f1e = sngl(-zgradtheta*cosqlat + (xgradtheta*cosqlon + ygradtheta*sinqlon)*z ) f1n = sngl(-zgradphi*cosqlat + (xgradphi*cosqlon + ygradphi*sinqlon)*z ) f2e = sngl( ygradtheta*cosqlon - xgradtheta*sinqlon ) f2n = sngl( ygradphi*cosqlon - xgradphi*sinqlon ) return end subroutine gd2qd !================================================================================== ! (Function) Calculate Magnetic Local Time !================================================================================== function mltcalc(qlat,qlon,day,ut) use hwm use gd2qdc use alf implicit none real(4), intent(in) :: qlat, qlon, day, ut real(4) :: mltcalc integer(4) :: n, m, i real(8) :: asunglat, asunglon, asunqlon real(8) :: glat, theta, phi real(8) :: mphi, cosmphi, sinmphi real(8) :: x, y real(8) :: cosqlat, cosqlon, sinqlon real(8) :: qlonrad if (gd2qdinit) call initgd2qd() !COMPUTE GEOGRAPHIC COORDINATES OF ANTI-SUNWARD DIRECTION (LOW PRECISION) asunglat = -asin(sin((dble(day)+dble(ut)/24.0d0-80.0d0)*dtor) * sineps) / dtor asunglon = -ut * 15.d0 !COMPUTE MAGNETIC COORDINATES OF ANTI-SUNWARD DIRECTION theta = (90.d0 - asunglat) * dtor call alfbasis(nmax,mmax,theta,spbar,svbar,swbar) phi = asunglon * dtor i = 0 do n = 0, nmax sh(i) = spbar(n,0) i = i + 1 enddo do m = 1, mmax mphi = dble(m) * phi cosmphi = dcos(mphi) sinmphi = dsin(mphi) do n = m, nmax sh(i) = spbar(n,m) * cosmphi sh(i+1) = spbar(n,m) * sinmphi i = i + 2 enddo enddo x = dot_product(sh, xcoeff) y = dot_product(sh, ycoeff) asunqlon = sngl(datan2(y,x) / dtor) !COMPUTE MLT mltcalc = (qlon - asunqlon) / 15.0 return end function mltcalc !================================================================================ ! Cubic Spline interpolation of Kp !================================================================================ subroutine kpspl3(kp, kpterms) implicit none real(4), intent(in) :: kp real(4), intent(out) :: kpterms(0:2) integer(4) :: i, j real(4) :: x, kpspl(0:6) real(4), parameter :: node(0:7)=(/-10., -8., 0., 2., 5., 8., 18., 20./) x = max(kp, 0.0) x = min(x, 8.0) kpterms(0:2) = 0.0 do i = 0, 6 kpspl(i) = 0.0 if ((x .ge. node(i)) .and. (x .lt. node(i+1))) kpspl(i) = 1.0 enddo do j = 2,3 do i = 0, 8-j-1 kpspl(i) = kpspl(i) * (x - node(i)) / (node(i+j-1) - node(i)) & + kpspl(i+1) * (node(i+j) - x) / (node(i+j) - node(i+1)) enddo enddo kpterms(0) = kpspl(0) + kpspl(1) kpterms(1) = kpspl(2) kpterms(2) = kpspl(3) + kpspl(4) return end subroutine kpspl3 !================================================================================ ! (Function) Latitude weighting factors !================================================================================ function latwgt2(mlat, mlt, kp0, twidth) implicit none real(4) :: latwgt2 real(4) :: mlat, mlt, kp0, kp, twidth real(4) :: mltrad, sinmlt, cosmlt, tlat real(4), parameter :: coeff(0:5) = (/ 65.7633, -4.60256, -3.53915, & -1.99971, -0.752193, 0.972388 /) real(4), parameter :: pi=3.141592653590 real(4), parameter :: dtor=pi/180.d0 mltrad = mlt * 15.0 * dtor sinmlt = sin(mltrad) cosmlt = cos(mltrad) kp = max(kp0, 0.0) kp = min(kp, 8.0) tlat = coeff(0) + coeff(1)*cosmlt + coeff(2)*sinmlt + & kp*(coeff(3) + coeff(4)*cosmlt + coeff(5)*sinmlt) latwgt2 = 1.0 / ( 1 + exp(-(abs(mlat)-tlat)/twidth) ) return end function latwgt2 ! ======================================================================== ! Utility to find and open the supporting data files ! ======================================================================== subroutine findandopen(datafile,unitid) implicit none character(128) :: datafile integer :: unitid character(128) :: hwmpath logical :: havefile integer :: i i = index(datafile,'bin') if (i .eq. 0) then inquire(file=trim(datafile),exist=havefile) if (havefile) open(unit=unitid,file=trim(datafile),status='old',form='unformatted') if (.not. havefile) then call get_environment_variable('HWMPATH',hwmpath) inquire(file=trim(hwmpath)//'/'//trim(datafile),exist=havefile) if (havefile) open(unit=unitid, & file=trim(hwmpath)//'/'//trim(datafile),status='old',form='unformatted') endif if (.not. havefile) then inquire(file='../Meta/'//trim(datafile),exist=havefile) if (havefile) open(unit=unitid, & file='../Meta/'//trim(datafile),status='old',form='unformatted') endif else inquire(file=trim(datafile),exist=havefile) if (havefile) open(unit=unitid,file=trim(datafile),status='old',access='stream') if (.not. havefile) then call get_environment_variable('HWMPATH',hwmpath) inquire(file=trim(hwmpath)//'/'//trim(datafile),exist=havefile) if (havefile) open(unit=unitid, & file=trim(hwmpath)//'/'//trim(datafile),status='old',access='stream') endif if (.not. havefile) then inquire(file='../Meta/'//trim(datafile),exist=havefile) if (havefile) open(unit=unitid, & file='../Meta/'//trim(datafile),status='old',access='stream') endif endif if (havefile) then return else print *,"Can not find file ",trim(datafile) stop endif end subroutine findandopen fluids-1.0.22/fluids/optional/hwm123114.bin0000644000175000017500000057211014302004506017464 0ustar nileshnilesh  !@$@.@4@9@>@€A@D@€F@I@€K@N@@P@€Q@ÀR@T@@U@€V@ÀW@Y@@Z@€[@`]@@`@€a@`c@@e@i@@o@àu@àu@àu@àu@ ¬Nr)Ãâ?Að>{Ó¿c—Y ò?¦Î>×Î?ö¥À+ÀºŠ¡bH‹×?A@06Ää?³ÂÂ@^ßà¿P«pø?ïU3’O¶Û¿Ð|0¥|Sõ¿ëñ8µwð?0ÀW{å@}Ú¸øøz? 7*Q=~ç¿0v«¨¸¿øÂSÃÂÉ?óâçcÍ¿¾o®sbç?Ó™],ĞݿïxVýê׿¤8¤ç†Ç?t¬10e°?"*"çµÁ¿›qýaŠ¶¡¿sÎÔY»¿¯ü„ÒËå¿C9t…xÚ?ô]£ÆáÃÙ¿ÕpZ6Ÿù´?¹ì½6W¿ kï7ÑqÊ¿6é¯VæÎÇ?ð‚ŠnÖgο=ó”©Ü?„‹ÄA2éÕ¿lRU‡ˆzá?‘ê1äÙ¿m’¦VkÆÂ?˜Ëܯ/Ñ¿Ê~'ñ¼ÞÁ?ÀS°…Š+¿²ùÈÓ¬¢Ã¿ßÍerã¢Ò?ŸS¾Ûñ¿¢à¡´î?e)@C0íÑ¿³Biç]Ã?™¹Œ÷Í¿:½Hy”?D=Ù•–’¿°C±Zžgª¿üç¢è¿¿ ¸Ä`¤BÂ?¬~DôŸ;«¿åÚ,?L½?œµœ8›?p™ëÞÀ¿  ¯}¼}?ÉpQ9£?úQíM×X¹¿ÂLªp®ž†¿r½h'²?躇Hܧ?Eõm‚<Ñ?ßdòBÈ?Tz¸$k0Ž?@/z"‹¿²«ÿªœ¹¿Äò"j·u¿V ùÒg©¿¾b7©\ݹ?W)eä‡Æ¿qÐy0KÓ?*H£ìþ©?Œ2%%Ç[¸?LÉ~•—¹¿Ý©4G¨¼? ³79Ä¿{p |úš¿S:R+îË?Ôbm• ·?YÝæèH×ì¿[söïMòç¿!ŸØ¹†é?oŠ™ãjÐì¿ã,_Ý4{Ü?ctê{DÓ¿ŽSBŠÅ¦?ˆÊ>pÞ¿wM¿™·\¾?üË£ØÒ?¶a^Ïô’Ú¿)ÍŸjµˆá?ìn‘R´qÄ¿0ͺêb<|¿ö÷nßrÌ¿  óüç?!¡û¶?©?sFÁ6¶? 0 mŠÒ?âØj{ñª¿ë@§sLÜ×?ˆs‹€eÇ?J‚–)4~ï?”Ñ„•Jï¿óÐBÛ'–?9¢„„åæ²?xC5‰Ä¿’pÆ…zä?iÿ ¨X¯?GIÒr ë¿‘´6²ëÝ¿CwcÔ®À?šäG©®¹¿|Îê|0Ö?ú¼*V·í¨¿|Ö=®¯?BC¯X&k²?N@ø……“£?B˜G|ÃÌ¿Ã}è… ›Ñ?ªkúD³?£¼¿À—æ?B¹¸›lÚÏ?s°¡€ÐÄ¿š"ba€¿¿FŸRc8¾Ã?|È âEÅ¿ BÕ#ç?N˜ÛV­Ø?¡i*Äò°Ï?î[ù»êÔÿhXS‚à÷Á¿M`ŶϷ?¨r+³ý¿x©ïy½È?¶ÕÊhlWÏ?–¦^fù¼? 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ÂÔUµ@`ꉼ@׳½-­œ@JŠžO’¥@ñ±ÕJU@vî9oîúÝ¿DOfßõ?&‡ùÚdAÀU”0]±ßù¿^æ>op>Û?vöèï: @¦É­÷E@föW}C°Ü?©üj&íT@}ŸÎ¼ƒú@ ˆ…Q!³ø?TZ1ì»áÅ?‡Iúè·¬ë?áH¯AÀñ3^õÄþ¿æÁÅòâû?Um|ÙOÀM —0aù¿Ië$ºã?5Ý«‘@ö1¤Ô…ý@Èvb@{ºì?û‡!{µå¿ùèp­«ý¿U«M ëå¿Í!ùh'UÓ¿ý6Ï)qà¿žä âÅþ¿QEÔv©–á¿ó,}M@Ê?tÓHjú?J^iµË?öקYIç?¡ß©¦Pö?:ÒiC!9ÀNšK¥¶¶?A†{Z2â?ÑÔÑUrÀá·>¿ÿ @}ßÇw* ÀâLÁgô¿öå-Q ÷¿@6š+ü?fGûÀ+ò¡kYùè¿ØÉÑöõ€À®(b¹&ËÕ?èq]™Ô>à¿òü—MA-ð?ÖÄÄŸÒ¿eéöçtg×?éXjT­È?z¢¢Hc@d^Ô7ÀùhëGÝ¿|趾Éæù¿S‹EüügÀ$éÐ$3Bû?CûŠò¹nå¿þ=H·—ø¿ð?·„Jºá?ñKš’nÄ?ëµÑç@¢å?ù‘ð÷j‹Ü?¹mY[äê?ëµÑç@¢å¿ð?fluids-1.0.22/fluids/optional/spa.py0000644000175000017500000014066514302004506016666 0ustar nileshnilesh# -*- coding: utf-8 -*- """ irradiance.py from pvlib ======================== Stripped down, vendorized version from: https://github.com/pvlib/pvlib-python/ Calculate the solar position using the NREL SPA algorithm either using numpy arrays or compiling the code to machine language with numba. The rational for not including this library as a strict dependency is to avoid including a dependency on pandas, keeping load time low, and PyPy compatibility Created by Tony Lorenzo (@alorenzo175), Univ. of Arizona, 2015 For a full list of contributors to this file, see the `pvlib` repository. The copyright notice (BSD-3 clause) is as follows: BSD 3-Clause License Copyright (c) 2013-2018, Sandia National Laboratories and pvlib python Development Team All rights reserved. Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met: Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer. Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution. Neither the name of the {organization} nor the names of its contributors may be used to endorse or promote products derived from this software without specific prior written permission. THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. """ from __future__ import division import os import time from datetime import datetime import math from math import degrees, sin, cos, tan, radians, atan, asin, atan2, sqrt, acos from fluids.constants import deg2rad, rad2deg from fluids.numerics import sincos __all__ = ['julian_day_dt', 'julian_day', 'julian_ephemeris_day', 'julian_century', 'julian_ephemeris_century', 'julian_ephemeris_millennium', 'heliocentric_longitude', 'heliocentric_latitude', 'heliocentric_radius_vector', 'geocentric_longitude', 'geocentric_latitude', 'mean_elongation', 'mean_anomaly_sun', 'mean_anomaly_moon', 'moon_argument_latitude', 'moon_ascending_longitude', 'longitude_nutation', 'obliquity_nutation', 'mean_ecliptic_obliquity', 'true_ecliptic_obliquity', 'aberration_correction', 'apparent_sun_longitude', 'mean_sidereal_time', 'apparent_sidereal_time', 'geocentric_sun_right_ascension', 'geocentric_sun_declination', 'local_hour_angle', 'equatorial_horizontal_parallax', 'uterm', 'xterm', 'yterm', 'parallax_sun_right_ascension', 'topocentric_sun_right_ascension', 'topocentric_sun_declination', 'topocentric_local_hour_angle', 'topocentric_elevation_angle_without_atmosphere', 'atmospheric_refraction_correction', 'topocentric_elevation_angle', 'topocentric_zenith_angle', 'topocentric_astronomers_azimuth', 'topocentric_azimuth_angle', 'sun_mean_longitude', 'equation_of_time', 'calculate_deltat', 'longitude_obliquity_nutation', 'transit_sunrise_sunset', ] nan = float("nan") HELIO_RADIUS_TABLE_LIST_0 = [[100013989.0, 0.0, 0.0], [1670700.0, 3.0984635, 6283.07585], [13956.0, 3.05525, 12566.1517], [3084.0, 5.1985, 77713.7715], [1628.0, 1.1739, 5753.3849], [1576.0, 2.8469, 7860.4194], [925.0, 5.453, 11506.77], [542.0, 4.564, 3930.21], [472.0, 3.661, 5884.927], [346.0, 0.964, 5507.553], [329.0, 5.9, 5223.694], [307.0, 0.299, 5573.143], [243.0, 4.273, 11790.629], [212.0, 5.847, 1577.344], [186.0, 5.022, 10977.079], [175.0, 3.012, 18849.228], [110.0, 5.055, 5486.778], [98.0, 0.89, 6069.78], [86.0, 5.69, 15720.84], [86.0, 1.27, 161000.69], [65.0, 0.27, 17260.15], [63.0, 0.92, 529.69], [57.0, 2.01, 83996.85], [56.0, 5.24, 71430.7], [49.0, 3.25, 2544.31], [47.0, 2.58, 775.52], [45.0, 5.54, 9437.76], [43.0, 6.01, 6275.96], [39.0, 5.36, 4694.0], [38.0, 2.39, 8827.39], [37.0, 0.83, 19651.05], [37.0, 4.9, 12139.55], [36.0, 1.67, 12036.46], [35.0, 1.84, 2942.46], [33.0, 0.24, 7084.9], [32.0, 0.18, 5088.63], [32.0, 1.78, 398.15], [28.0, 1.21, 6286.6], [28.0, 1.9, 6279.55], [26.0, 4.59, 10447.39]] HELIO_RADIUS_TABLE_LIST_1 = [[103019.0, 1.10749, 6283.07585], [1721.0, 1.0644, 12566.1517], [702.0, 3.142, 0.0], [32.0, 1.02, 18849.23], [31.0, 2.84, 5507.55], [25.0, 1.32, 5223.69], [18.0, 1.42, 1577.34], [10.0, 5.91, 10977.08], [9.0, 1.42, 6275.96], [9.0, 0.27, 5486.78], ] HELIO_RADIUS_TABLE_LIST_2 = [[4359.0, 5.7846, 6283.0758], [124.0, 5.579, 12566.152], [12.0, 3.14, 0.0], [9.0, 3.63, 77713.77], [6.0, 1.87, 5573.14], [3.0, 5.47, 18849.23]] HELIO_RADIUS_TABLE_LIST_3 = [[145.0, 4.273, 6283.076], [7.0, 3.92, 12566.15]] HELIO_RADIUS_TABLE_LIST_4 = [[4.0, 2.56, 6283.08]] NUTATION_YTERM_LIST_0 = [0.0, -2.0, 0.0, 0.0, 0.0, 0.0, -2.0, 0.0, 0.0, -2.0, -2.0, -2.0, 0.0, 2.0, 0.0, 2.0, 0.0, 0.0, -2.0, 0.0, 2.0, 0.0, 0.0, -2.0, 0.0, -2.0, 0.0, 0.0, 2.0, -2.0, 0.0, -2.0, 0.0, 0.0, 2.0, 2.0, 0.0, -2.0, 0.0, 2.0, 2.0, -2.0, -2.0, 2.0, 2.0, 0.0, -2.0, -2.0, 0.0, -2.0, -2.0, 0.0, -1.0, -2.0, 1.0, 0.0, 0.0, -1.0, 0.0, 0.0, 2.0, 0.0, 2.0] NUTATION_YTERM_LIST_1 = [0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 1.0, 0.0, 0.0, -1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 2.0, 1.0, 0.0, -1.0, 0.0, 0.0, 0.0, 1.0, 1.0, -1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -1.0, -1.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0, -1.0, 1.0, -1.0, -1.0, 0.0, -1.0] NUTATION_YTERM_LIST_2 = [0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 1.0, 0.0, 1.0, 0.0, -1.0, 0.0, 1.0, -1.0, -1.0, 1.0, 2.0, -2.0, 0.0, 2.0, 2.0, 1.0, 0.0, 0.0, -1.0, 0.0, -1.0, 0.0, 0.0, 1.0, 0.0, 2.0, -1.0, 1.0, 0.0, 1.0, 0.0, 0.0, 1.0, 2.0, 1.0, -2.0, 0.0, 1.0, 0.0, 0.0, 2.0, 2.0, 0.0, 1.0, 1.0, 0.0, 0.0, 1.0, -2.0, 1.0, 1.0, 1.0, -1.0, 3.0, 0.0] NUTATION_YTERM_LIST_3 = [0.0, 2.0, 2.0, 0.0, 0.0, 0.0, 2.0, 2.0, 2.0, 2.0, 0.0, 2.0, 2.0, 0.0, 0.0, 2.0, 0.0, 2.0, 0.0, 2.0, 2.0, 2.0, 0.0, 2.0, 2.0, 2.0, 2.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, -2.0, 2.0, 2.0, 2.0, 0.0, 2.0, 2.0, 0.0, 2.0, 2.0, 0.0, 0.0, 0.0, 2.0, 0.0, 2.0, 0.0, 2.0, -2.0, 0.0, 0.0, 0.0, 2.0, 2.0, 0.0, 0.0, 2.0, 2.0, 2.0, 2.0] NUTATION_YTERM_LIST_4 = [1.0, 2.0, 2.0, 2.0, 0.0, 0.0, 2.0, 1.0, 2.0, 2.0, 0.0, 1.0, 2.0, 0.0, 1.0, 2.0, 1.0, 1.0, 0.0, 1.0, 2.0, 2.0, 0.0, 2.0, 0.0, 0.0, 1.0, 0.0, 1.0, 2.0, 1.0, 1.0, 1.0, 0.0, 1.0, 2.0, 2.0, 0.0, 2.0, 1.0, 0.0, 2.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 2.0, 2.0, 2.0, 2.0] NUTATION_ABCD_LIST = [[-171996.0, -174.2, 92025.0, 8.9], [-13187.0, -1.6, 5736.0, -3.1], [-2274.0, -0.2, 977.0, -0.5], [2062.0, 0.2, -895.0, 0.5], [1426.0, -3.4, 54.0, -0.1], [712.0, 0.1, -7.0, 0.0], [-517.0, 1.2, 224.0, -0.6], [-386.0, -0.4, 200.0, 0.0], [-301.0, 0.0, 129.0, -0.1], [217.0, -0.5, -95.0, 0.3], [-158.0, 0.0, 0.0, 0.0], [129.0, 0.1, -70.0, 0.0], [123.0, 0.0, -53.0, 0.0], [63.0, 0.0, 0.0, 0.0], [63.0, 0.1, -33.0, 0.0], [-59.0, 0.0, 26.0, 0.0], [-58.0, -0.1, 32.0, 0.0], [-51.0, 0.0, 27.0, 0.0], [48.0, 0.0, 0.0, 0.0], [46.0, 0.0, -24.0, 0.0], [-38.0, 0.0, 16.0, 0.0], [-31.0, 0.0, 13.0, 0.0], [29.0, 0.0, 0.0, 0.0], [29.0, 0.0, -12.0, 0.0], [26.0, 0.0, 0.0, 0.0], [-22.0, 0.0, 0.0, 0.0], [21.0, 0.0, -10.0, 0.0], [17.0, -0.1, 0.0, 0.0], [16.0, 0.0, -8.0, 0.0], [-16.0, 0.1, 7.0, 0.0], [-15.0, 0.0, 9.0, 0.0], [-13.0, 0.0, 7.0, 0.0], [-12.0, 0.0, 6.0, 0.0], [11.0, 0.0, 0.0, 0.0], [-10.0, 0.0, 5.0, 0.0], [-8.0, 0.0, 3.0, 0.0], [7.0, 0.0, -3.0, 0.0], [-7.0, 0.0, 0.0, 0.0], [-7.0, 0.0, 3.0, 0.0], [-7.0, 0.0, 3.0, 0.0], [6.0, 0.0, 0.0, 0.0], [6.0, 0.0, -3.0, 0.0], [6.0, 0.0, -3.0, 0.0], [-6.0, 0.0, 3.0, 0.0], [-6.0, 0.0, 3.0, 0.0], [5.0, 0.0, 0.0, 0.0], [-5.0, 0.0, 3.0, 0.0], [-5.0, 0.0, 3.0, 0.0], [-5.0, 0.0, 3.0, 0.0], [4.0, 0.0, 0.0, 0.0], [4.0, 0.0, 0.0, 0.0], [4.0, 0.0, 0.0, 0.0], [-4.0, 0.0, 0.0, 0.0], [-4.0, 0.0, 0.0, 0.0], [-4.0, 0.0, 0.0, 0.0], [3.0, 0.0, 0.0, 0.0], [-3.0, 0.0, 0.0, 0.0], [-3.0, 0.0, 0.0, 0.0], [-3.0, 0.0, 0.0, 0.0], [-3.0, 0.0, 0.0, 0.0], [-3.0, 0.0, 0.0, 0.0], [-3.0, 0.0, 0.0, 0.0], [-3.0, 0.0, 0.0, 0.0]] HELIO_LAT_TABLE_LIST_0 = [[280.0, 3.199, 84334.662], [102.0, 5.422, 5507.553], [80.0, 3.88, 5223.69], [44.0, 3.7, 2352.87], [32.0, 4.0, 1577.34]] HELIO_LAT_TABLE_LIST_1 = [[9.0, 3.9, 5507.55], [6.0, 1.73, 5223.69]] #HELIO_LONG_TABLE_LIST = HELIO_LONG_TABLE.tolist() HELIO_LONG_TABLE_LIST_0 = [[175347046.0, 0.0, 0.0], [3341656.0, 4.6692568, 6283.07585], [34894.0, 4.6261, 12566.1517], [3497.0, 2.7441, 5753.3849], [3418.0, 2.8289, 3.5231], [3136.0, 3.6277, 77713.7715], [2676.0, 4.4181, 7860.4194], [2343.0, 6.1352, 3930.2097], [1324.0, 0.7425, 11506.7698], [1273.0, 2.0371, 529.691], [1199.0, 1.1096, 1577.3435], [990.0, 5.233, 5884.927], [902.0, 2.045, 26.298], [857.0, 3.508, 398.149], [780.0, 1.179, 5223.694], [753.0, 2.533, 5507.553], [505.0, 4.583, 18849.228], [492.0, 4.205, 775.523], [357.0, 2.92, 0.067], [317.0, 5.849, 11790.629], [284.0, 1.899, 796.298], [271.0, 0.315, 10977.079], [243.0, 0.345, 5486.778], [206.0, 4.806, 2544.314], [205.0, 1.869, 5573.143], [202.0, 2.458, 6069.777], [156.0, 0.833, 213.299], [132.0, 3.411, 2942.463], [126.0, 1.083, 20.775], [115.0, 0.645, 0.98], [103.0, 0.636, 4694.003], [102.0, 0.976, 15720.839], [102.0, 4.267, 7.114], [99.0, 6.21, 2146.17], [98.0, 0.68, 155.42], [86.0, 5.98, 161000.69], [85.0, 1.3, 6275.96], [85.0, 3.67, 71430.7], [80.0, 1.81, 17260.15], [79.0, 3.04, 12036.46], [75.0, 1.76, 5088.63], [74.0, 3.5, 3154.69], [74.0, 4.68, 801.82], [70.0, 0.83, 9437.76], [62.0, 3.98, 8827.39], [61.0, 1.82, 7084.9], [57.0, 2.78, 6286.6], [56.0, 4.39, 14143.5], [56.0, 3.47, 6279.55], [52.0, 0.19, 12139.55], [52.0, 1.33, 1748.02], [51.0, 0.28, 5856.48], [49.0, 0.49, 1194.45], [41.0, 5.37, 8429.24], [41.0, 2.4, 19651.05], [39.0, 6.17, 10447.39], [37.0, 6.04, 10213.29], [37.0, 2.57, 1059.38], [36.0, 1.71, 2352.87], [36.0, 1.78, 6812.77], [33.0, 0.59, 17789.85], [30.0, 0.44, 83996.85], [30.0, 2.74, 1349.87], [25.0, 3.16, 4690.48]] HELIO_LONG_TABLE_LIST_1 = [[628331966747.0, 0.0, 0.0], [206059.0, 2.678235, 6283.07585], [4303.0, 2.6351, 12566.1517], [425.0, 1.59, 3.523], [119.0, 5.796, 26.298], [109.0, 2.966, 1577.344], [93.0, 2.59, 18849.23], [72.0, 1.14, 529.69], [68.0, 1.87, 398.15], [67.0, 4.41, 5507.55], [59.0, 2.89, 5223.69], [56.0, 2.17, 155.42], [45.0, 0.4, 796.3], [36.0, 0.47, 775.52], [29.0, 2.65, 7.11], [21.0, 5.34, 0.98], [19.0, 1.85, 5486.78], [19.0, 4.97, 213.3], [17.0, 2.99, 6275.96], [16.0, 0.03, 2544.31], [16.0, 1.43, 2146.17], [15.0, 1.21, 10977.08], [12.0, 2.83, 1748.02], [12.0, 3.26, 5088.63], [12.0, 5.27, 1194.45], [12.0, 2.08, 4694.0], [11.0, 0.77, 553.57], [10.0, 1.3, 6286.6], [10.0, 4.24, 1349.87], [9.0, 2.7, 242.73], [9.0, 5.64, 951.72], [8.0, 5.3, 2352.87], [6.0, 2.65, 9437.76], [6.0, 4.67, 4690.48], ] HELIO_LONG_TABLE_LIST_2 = [[52919.0, 0.0, 0.0], [8720.0, 1.0721, 6283.0758], [309.0, 0.867, 12566.152], [27.0, 0.05, 3.52], [16.0, 5.19, 26.3], [16.0, 3.68, 155.42], [10.0, 0.76, 18849.23], [9.0, 2.06, 77713.77], [7.0, 0.83, 775.52], [5.0, 4.66, 1577.34], [4.0, 1.03, 7.11], [4.0, 3.44, 5573.14], [3.0, 5.14, 796.3], [3.0, 6.05, 5507.55], [3.0, 1.19, 242.73], [3.0, 6.12, 529.69], [3.0, 0.31, 398.15], [3.0, 2.28, 553.57], [2.0, 4.38, 5223.69], [2.0, 3.75, 0.98]] HELIO_LONG_TABLE_LIST_3 = [[289.0, 5.844, 6283.076], [35.0, 0.0, 0.0], [17.0, 5.49, 12566.15], [3.0, 5.2, 155.42], [1.0, 4.72, 3.52], [1.0, 5.3, 18849.23], [1.0, 5.97, 242.73] ] HELIO_LONG_TABLE_LIST_4 = [[114.0, 3.142, 0.0], [8.0, 4.13, 6283.08], [1.0, 3.84, 12566.15]] def julian_day_dt(year, month, day, hour, minute, second, microsecond): """This is the original way to calculate the julian day from the NREL paper. However, it is much faster to convert to unix/epoch time and then convert to julian day. Note that the date must be UTC. """ # Not used anywhere! if month <= 2: year = year-1 month = month+12 a = int(year/100) b = 2 - a + int(a * 0.25) frac_of_day = (microsecond + (second + minute * 60 + hour * 3600) ) * 1.0 / (3600*24) d = day + frac_of_day jd = (int(365.25 * (year + 4716)) + int(30.6001 * (month + 1)) + d + b - 1524.5) return jd def julian_day(unixtime): jd = unixtime*1.1574074074074073e-05 + 2440587.5 # jd = unixtime/86400.0 + 2440587.5 return jd def julian_ephemeris_day(julian_day, delta_t): jde = julian_day + delta_t*1.1574074074074073e-05 # jde = julian_day + delta_t * 1.0 / 86400.0 return jde def julian_century(julian_day): jc = (julian_day - 2451545.0)*2.7378507871321012e-05# * 1.0 / 36525 return jc def julian_ephemeris_century(julian_ephemeris_day): # 1/36525.0 = 2.7378507871321012e-05 jce = (julian_ephemeris_day - 2451545.0)*2.7378507871321012e-05 return jce def julian_ephemeris_millennium(julian_ephemeris_century): jme = julian_ephemeris_century*0.1 return jme def heliocentric_longitude(jme): # Might be able to replace this with a pade approximation? # Looping over rows is probably still faster than (a, b, c) # Maximum optimization l0 = 0.0 l1 = 0.0 l2 = 0.0 l3 = 0.0 l4 = 0.0 l5 = 0.0 for row in range(64): HELIO_LONG_TABLE_LIST_0_ROW = HELIO_LONG_TABLE_LIST_0[row] l0 += (HELIO_LONG_TABLE_LIST_0_ROW[0] * cos(HELIO_LONG_TABLE_LIST_0_ROW[1] + HELIO_LONG_TABLE_LIST_0_ROW[2] * jme) ) for row in range(34): HELIO_LONG_TABLE_LIST_1_ROW = HELIO_LONG_TABLE_LIST_1[row] l1 += (HELIO_LONG_TABLE_LIST_1_ROW[0] * cos(HELIO_LONG_TABLE_LIST_1_ROW[1] + HELIO_LONG_TABLE_LIST_1_ROW[2] * jme) ) for row in range(20): HELIO_LONG_TABLE_LIST_2_ROW = HELIO_LONG_TABLE_LIST_2[row] l2 += (HELIO_LONG_TABLE_LIST_2_ROW[0] * cos(HELIO_LONG_TABLE_LIST_2_ROW[1] + HELIO_LONG_TABLE_LIST_2_ROW[2] * jme) ) for row in range(7): HELIO_LONG_TABLE_LIST_3_ROW = HELIO_LONG_TABLE_LIST_3[row] l3 += (HELIO_LONG_TABLE_LIST_3_ROW[0] * cos(HELIO_LONG_TABLE_LIST_3_ROW[1] + HELIO_LONG_TABLE_LIST_3_ROW[2] * jme) ) for row in range(3): HELIO_LONG_TABLE_LIST_4_ROW = HELIO_LONG_TABLE_LIST_4[row] l4 += (HELIO_LONG_TABLE_LIST_4_ROW[0] * cos(HELIO_LONG_TABLE_LIST_4_ROW[1] + HELIO_LONG_TABLE_LIST_4_ROW[2] * jme) ) # l5 = (HELIO_LONG_TABLE_LIST_5[0][0]*cos(HELIO_LONG_TABLE_LIST_5[0][1])) l5 = -0.9999987317275395 l_rad = (jme*(jme*(jme*(jme*(jme*l5 + l4) + l3) + l2) + l1) + l0)*1E-8 l = rad2deg*l_rad return l % 360 def heliocentric_latitude(jme): b0 = 0.0 b1 = 0.0 for row in range(5): HELIO_LAT_TABLE_LIST_0_ROW = HELIO_LAT_TABLE_LIST_0[row] b0 += (HELIO_LAT_TABLE_LIST_0_ROW[0] * cos(HELIO_LAT_TABLE_LIST_0_ROW[1] + HELIO_LAT_TABLE_LIST_0_ROW[2] * jme) ) HELIO_LAT_TABLE_LIST_1_ROW = HELIO_LAT_TABLE_LIST_1[0] b1 += (HELIO_LAT_TABLE_LIST_1_ROW[0] * cos(HELIO_LAT_TABLE_LIST_1_ROW[1] + HELIO_LAT_TABLE_LIST_1_ROW[2] * jme)) HELIO_LAT_TABLE_LIST_1_ROW = HELIO_LAT_TABLE_LIST_1[1] b1 += (HELIO_LAT_TABLE_LIST_1_ROW[0] * cos(HELIO_LAT_TABLE_LIST_1_ROW[1] + HELIO_LAT_TABLE_LIST_1_ROW[2] * jme)) b_rad = (b0 + b1 * jme)*1E-8 b = rad2deg*b_rad return b def heliocentric_radius_vector(jme): # no optimizations can be thought of r0 = 0.0 r1 = 0.0 r2 = 0.0 r3 = 0.0 r4 = 0.0 # Would be possible to save a few multiplies of table1row[2]*jme, table1row[1]*jme as they are dups for row in range(40): table0row = HELIO_RADIUS_TABLE_LIST_0[row] r0 += (table0row[0]*cos(table0row[1] + table0row[2]*jme)) for row in range(10): table1row = HELIO_RADIUS_TABLE_LIST_1[row] r1 += (table1row[0]*cos(table1row[1] + table1row[2]*jme)) for row in range(6): table2row = HELIO_RADIUS_TABLE_LIST_2[row] r2 += (table2row[0]*cos(table2row[1] + table2row[2]*jme)) table3row = HELIO_RADIUS_TABLE_LIST_3[0] r3 += (table3row[0]*cos(table3row[1] + table3row[2]*jme)) table3row = HELIO_RADIUS_TABLE_LIST_3[1] r3 += (table3row[0]*cos(table3row[1] + table3row[2]*jme)) # table4row = HELIO_RADIUS_TABLE_LIST_4[0] # r4 = (table4row[0]*cos(table4row[1] + table4row[2]*jme)) r4 = (4.0*cos(2.56 + 6283.08*jme)) return (jme*(jme*(jme*(jme*r4 + r3) + r2) + r1) + r0)*1E-8 def geocentric_longitude(heliocentric_longitude): theta = heliocentric_longitude + 180.0 return theta % 360 def geocentric_latitude(heliocentric_latitude): beta = -heliocentric_latitude return beta def mean_elongation(julian_ephemeris_century): return (julian_ephemeris_century*(julian_ephemeris_century *(5.27776898149614e-6*julian_ephemeris_century - 0.0019142) + 445267.11148) + 297.85036) # x0 = (297.85036 # + 445267.111480 * julian_ephemeris_century # - 0.0019142 * julian_ephemeris_century**2 # + julian_ephemeris_century**3 / 189474.0) # return x0 def mean_anomaly_sun(julian_ephemeris_century): return (julian_ephemeris_century*(julian_ephemeris_century*( -3.33333333333333e-6*julian_ephemeris_century - 0.0001603) + 35999.05034) + 357.52772) # x1 = (357.52772 # + 35999.050340 * julian_ephemeris_century # - 0.0001603 * julian_ephemeris_century**2 # - julian_ephemeris_century**3 / 300000.0) # return x1 def mean_anomaly_moon(julian_ephemeris_century): return (julian_ephemeris_century*(julian_ephemeris_century*( 1.77777777777778e-5*julian_ephemeris_century + 0.0086972) + 477198.867398) + 134.96298) # x2 = (134.96298 # + 477198.867398 * julian_ephemeris_century # + 0.0086972 * julian_ephemeris_century**2 # + julian_ephemeris_century**3 / 56250) # return x2 def moon_argument_latitude(julian_ephemeris_century): return julian_ephemeris_century*(julian_ephemeris_century*( 3.05558101873071e-6*julian_ephemeris_century - 0.0036825) + 483202.017538) + 93.27191 # x3 = (93.27191 # + 483202.017538 * julian_ephemeris_century # - 0.0036825 * julian_ephemeris_century**2 # + julian_ephemeris_century**3 / 327270) # return x3 def moon_ascending_longitude(julian_ephemeris_century): return (julian_ephemeris_century*(julian_ephemeris_century*( 2.22222222222222e-6*julian_ephemeris_century + 0.0020708) - 1934.136261) + 125.04452) # x4 = (125.04452 # - 1934.136261 * julian_ephemeris_century # + 0.0020708 * julian_ephemeris_century**2 # + julian_ephemeris_century**3 / 450000) # return x4 def longitude_obliquity_nutation(julian_ephemeris_century, x0, x1, x2, x3, x4): x0, x1, x2, x3, x4 = deg2rad*x0, deg2rad*x1, deg2rad*x2, deg2rad*x3, deg2rad*x4 delta_psi_sum = 0.0 delta_eps_sum = 0.0 # If the sincos formulation is used, the speed up is ~8% with numba. for row in range(63): arg = (NUTATION_YTERM_LIST_0[row]*x0 + NUTATION_YTERM_LIST_1[row]*x1 + NUTATION_YTERM_LIST_2[row]*x2 + NUTATION_YTERM_LIST_3[row]*x3 + NUTATION_YTERM_LIST_4[row]*x4) arr = NUTATION_ABCD_LIST[row] sinarg, cosarg = sincos(arg) # sinarg = sin(arg) # cosarg = sqrt(1.0 - sinarg*sinarg) t0 = (arr[0] + julian_ephemeris_century*arr[1]) delta_psi_sum += t0*sinarg # delta_psi_sum += t0*sin(arg) t0 = (arr[2] + julian_ephemeris_century*arr[3]) delta_eps_sum += t0*cosarg # delta_eps_sum += t0*cos(arg) delta_psi = delta_psi_sum/36000000.0 delta_eps = delta_eps_sum/36000000.0 res = [0.0]*2 res[0] = delta_psi res[1] = delta_eps return res def longitude_nutation(julian_ephemeris_century, x0, x1, x2, x3, x4): x0, x1, x2, x3, x4 = deg2rad*x0, deg2rad*x1, deg2rad*x2, deg2rad*x3, deg2rad*x4 delta_psi_sum = 0.0 for row in range(63): # # None can be skipped but the multiplies can be with effort -2 to 2 with dict - just might be slower argsin = (NUTATION_YTERM_LIST_0[row]*x0 + NUTATION_YTERM_LIST_1[row]*x1 + NUTATION_YTERM_LIST_2[row]*x2 + NUTATION_YTERM_LIST_3[row]*x3 + NUTATION_YTERM_LIST_4[row]*x4) term = (NUTATION_ABCD_LIST[row][0] + NUTATION_ABCD_LIST[row][1] * julian_ephemeris_century)*sin(argsin) delta_psi_sum += term delta_psi = delta_psi_sum/36000000.0 return delta_psi def obliquity_nutation(julian_ephemeris_century, x0, x1, x2, x3, x4): delta_eps_sum = 0.0 x0, x1, x2, x3, x4 = deg2rad*x0, deg2rad*x1, deg2rad*x2, deg2rad*x3, deg2rad*x4 for row in range(63): argcos = (NUTATION_YTERM_LIST_0[row]*x0 + NUTATION_YTERM_LIST_1[row]*x1 + NUTATION_YTERM_LIST_2[row]*x2 + NUTATION_YTERM_LIST_3[row]*x3 + NUTATION_YTERM_LIST_4[row]*x4) term = (NUTATION_ABCD_LIST[row][2] + NUTATION_ABCD_LIST[row][3]*julian_ephemeris_century)*cos(argcos) delta_eps_sum += term delta_eps = delta_eps_sum/36000000.0 return delta_eps def mean_ecliptic_obliquity(julian_ephemeris_millennium): U = 0.1*julian_ephemeris_millennium e0 = (U*(U*(U*(U*(U*(U*(U*(U*(U*(2.45*U + 5.79) + 27.87) + 7.12) - 39.05) - 249.67) - 51.38) + 1999.25) - 1.55) - 4680.93) + 84381.448) return e0 def true_ecliptic_obliquity(mean_ecliptic_obliquity, obliquity_nutation): # e0 = mean_ecliptic_obliquity # deleps = obliquity_nutation return mean_ecliptic_obliquity*0.0002777777777777778 + obliquity_nutation # e = e0/3600.0 + deleps # return e def aberration_correction(earth_radius_vector): # -20.4898 / (3600) deltau = -0.005691611111111111/earth_radius_vector return deltau def apparent_sun_longitude(geocentric_longitude, longitude_nutation, aberration_correction): lamd = geocentric_longitude + longitude_nutation + aberration_correction return lamd def mean_sidereal_time(julian_day, julian_century): julian_century2 = julian_century*julian_century v0 = (280.46061837 + 360.98564736629*(julian_day - 2451545.0) + 0.000387933*julian_century2 - julian_century2*julian_century/38710000.0) return v0 % 360.0 def apparent_sidereal_time(mean_sidereal_time, longitude_nutation, true_ecliptic_obliquity): v = mean_sidereal_time + longitude_nutation*cos(deg2rad*true_ecliptic_obliquity) return v def geocentric_sun_right_ascension(apparent_sun_longitude, true_ecliptic_obliquity, geocentric_latitude): num = (sin(deg2rad*apparent_sun_longitude) * cos(deg2rad*true_ecliptic_obliquity) - tan(deg2rad*geocentric_latitude) * sin(deg2rad*true_ecliptic_obliquity)) alpha = degrees(atan2(num, cos( deg2rad*apparent_sun_longitude))) return alpha % 360 def geocentric_sun_declination(apparent_sun_longitude, true_ecliptic_obliquity, geocentric_latitude): delta = degrees(asin(sin(deg2rad*geocentric_latitude) * cos(deg2rad*true_ecliptic_obliquity) + cos(deg2rad*geocentric_latitude) * sin(deg2rad*true_ecliptic_obliquity) * sin(deg2rad*apparent_sun_longitude))) return delta def local_hour_angle(apparent_sidereal_time, observer_longitude, sun_right_ascension): """Measured westward from south.""" H = apparent_sidereal_time + observer_longitude - sun_right_ascension return H % 360 def equatorial_horizontal_parallax(earth_radius_vector): return 8.794 / (3600.0 * earth_radius_vector) def uterm(observer_latitude): u = atan(0.99664719*tan(deg2rad*observer_latitude)) return u def xterm(u, observer_latitude, observer_elevation): # 1/6378140.0 = const x = (cos(u) + observer_elevation*1.5678552054360676e-07*cos(deg2rad*observer_latitude)) return x def yterm(u, observer_latitude, observer_elevation): # 1/6378140.0 = const y = (0.99664719 * sin(u) + observer_elevation*1.5678552054360676e-07 * sin(deg2rad*observer_latitude)) return y def parallax_sun_right_ascension(xterm, equatorial_horizontal_parallax, local_hour_angle, geocentric_sun_declination): x0 = sin(deg2rad*equatorial_horizontal_parallax) x1 = deg2rad*local_hour_angle num = -xterm*x0*sin(x1) denom = (cos(deg2rad*geocentric_sun_declination) - xterm*x0 * cos(x1)) delta_alpha = degrees(atan2(num, denom)) return delta_alpha def topocentric_sun_right_ascension(geocentric_sun_right_ascension, parallax_sun_right_ascension): alpha_prime = geocentric_sun_right_ascension + parallax_sun_right_ascension return alpha_prime def topocentric_sun_declination(geocentric_sun_declination, xterm, yterm, equatorial_horizontal_parallax, parallax_sun_right_ascension, local_hour_angle): x0 = sin(deg2rad*equatorial_horizontal_parallax) num = ((sin(deg2rad*geocentric_sun_declination) - yterm * x0) * cos(deg2rad*parallax_sun_right_ascension)) denom = (cos(deg2rad*geocentric_sun_declination) - xterm * x0 * cos(deg2rad*local_hour_angle)) delta = degrees(atan2(num, denom)) return delta def topocentric_local_hour_angle(local_hour_angle, parallax_sun_right_ascension): H_prime = local_hour_angle - parallax_sun_right_ascension return H_prime def topocentric_elevation_angle_without_atmosphere(observer_latitude, topocentric_sun_declination, topocentric_local_hour_angle ): observer_latitude = observer_latitude topocentric_sun_declination = topocentric_sun_declination topocentric_local_hour_angle = topocentric_local_hour_angle r_observer_latitude = deg2rad*observer_latitude r_topocentric_sun_declination = deg2rad*topocentric_sun_declination e0 = degrees(asin( sin(r_observer_latitude) * sin(r_topocentric_sun_declination) + cos(r_observer_latitude) * cos(r_topocentric_sun_declination) * cos(deg2rad*topocentric_local_hour_angle))) return e0 def atmospheric_refraction_correction(local_pressure, local_temp, topocentric_elevation_angle_wo_atmosphere, atmos_refract): # switch sets delta_e when the sun is below the horizon switch = topocentric_elevation_angle_wo_atmosphere >= -1.0 * ( 0.26667 + atmos_refract) delta_e = ((local_pressure / 1010.0) * (283.0 / (273.0 + local_temp)) * 1.02 / (60.0 * tan(deg2rad*( topocentric_elevation_angle_wo_atmosphere + 10.3 / (topocentric_elevation_angle_wo_atmosphere + 5.11))))) * switch return delta_e def topocentric_elevation_angle(topocentric_elevation_angle_without_atmosphere, atmospheric_refraction_correction): e = (topocentric_elevation_angle_without_atmosphere + atmospheric_refraction_correction) return e def topocentric_zenith_angle(topocentric_elevation_angle): theta = 90.0 - topocentric_elevation_angle return theta def topocentric_astronomers_azimuth(topocentric_local_hour_angle, topocentric_sun_declination, observer_latitude): num = sin(deg2rad*topocentric_local_hour_angle) denom = (cos(deg2rad*topocentric_local_hour_angle) * sin(deg2rad*observer_latitude) - tan(deg2rad*topocentric_sun_declination) * cos(deg2rad*observer_latitude)) gamma = degrees(atan2(num, denom)) return gamma % 360.0 def topocentric_azimuth_angle(topocentric_astronomers_azimuth): phi = topocentric_astronomers_azimuth + 180.0 return phi % 360.0 def sun_mean_longitude(julian_ephemeris_millennium): M = julian_ephemeris_millennium*(julian_ephemeris_millennium*( julian_ephemeris_millennium*(julian_ephemeris_millennium*( -5.0e-7*julian_ephemeris_millennium - 6.5359477124183e-5) + 2.00276381406341e-5) + 0.03032028) + 360007.6982779) + 280.4664567 return M #@jcompile('float64(float64, float64, float64, float64)', nopython=True) def equation_of_time(sun_mean_longitude, geocentric_sun_right_ascension, longitude_nutation, true_ecliptic_obliquity): term = cos(deg2rad*true_ecliptic_obliquity) E = (sun_mean_longitude - 0.0057183 - geocentric_sun_right_ascension + longitude_nutation * term) # limit between 0 and 360 E = E % 360 # convert to minutes E *= 4.0 greater = E > 20.0 less = E < -20.0 other = (E <= 20.0) & (E >= -20.0) E = greater * (E - 1440.0) + less * (E + 1440.0) + other * E return E def earthsun_distance(unixtime, delta_t): """Calculates the distance from the earth to the sun using the NREL SPA algorithm described in [1]. Parameters ---------- unixtime : numpy array Array of unix/epoch timestamps to calculate solar position for. Unixtime is the number of seconds since Jan. 1, 1970 00:00:00 UTC. A pandas.DatetimeIndex is easily converted using .astype(np.int64)/10**9 delta_t : float Difference between terrestrial time and UT. USNO has tables. Returns ------- R : array Earth-Sun distance in AU. References ---------- [1] Reda, I., Andreas, A., 2003. Solar position algorithm for solar radiation applications. Technical report: NREL/TP-560- 34302. Golden, USA, http://www.nrel.gov. """ jd = julian_day(unixtime) jde = julian_ephemeris_day(jd, delta_t) jce = julian_ephemeris_century(jde) jme = julian_ephemeris_millennium(jce) R = heliocentric_radius_vector(jme) return R def solar_position(unixtime, lat, lon, elev, pressure, temp, delta_t, atmos_refract, sst=False): """Calculate the solar position using the NREL SPA algorithm described in [1]. If numba is installed, the functions can be compiled and the code runs quickly. If not, the functions still evaluate but use numpy instead. Parameters ---------- unixtime : numpy array Array of unix/epoch timestamps to calculate solar position for. Unixtime is the number of seconds since Jan. 1, 1970 00:00:00 UTC. A pandas.DatetimeIndex is easily converted using .astype(np.int64)/10**9 lat : float Latitude to calculate solar position for lon : float Longitude to calculate solar position for elev : float Elevation of location in meters pressure : int or float avg. yearly pressure at location in millibars; used for atmospheric correction temp : int or float avg. yearly temperature at location in degrees C; used for atmospheric correction delta_t : float, optional If delta_t is None, uses spa.calculate_deltat using time.year and time.month from pandas.DatetimeIndex. For most simulations specifying delta_t is sufficient. Difference between terrestrial time and UT1. *Note: delta_t = None will break code using nrel_numba, this will be fixed in a future version. By default, use USNO historical data and predictions atmos_refrac : float, optional The approximate atmospheric refraction (in degrees) at sunrise and sunset. numthreads: int, optional, default None Number of threads to use for computation if numba>=0.17 is installed. sst : bool, default False If True, return only data needed for sunrise, sunset, and transit calculations. Returns ------- list with elements: apparent zenith, zenith, elevation, apparent_elevation, azimuth, equation_of_time References ---------- .. [1] I. Reda and A. Andreas, Solar position algorithm for solar radiation applications. Solar Energy, vol. 76, no. 5, pp. 577-589, 2004. .. [2] I. Reda and A. Andreas, Corrigendum to Solar position algorithm for solar radiation applications. Solar Energy, vol. 81, no. 6, p. 838, 2007. """ jd = julian_day(unixtime) jde = julian_ephemeris_day(jd, delta_t) jc = julian_century(jd) jce = julian_ephemeris_century(jde) jme = julian_ephemeris_millennium(jce) R = heliocentric_radius_vector(jme) L = heliocentric_longitude(jme) B = heliocentric_latitude(jme) Theta = geocentric_longitude(L) beta = geocentric_latitude(B) x0 = mean_elongation(jce) x1 = mean_anomaly_sun(jce) x2 = mean_anomaly_moon(jce) x3 = moon_argument_latitude(jce) x4 = moon_ascending_longitude(jce) delta_psi, delta_epsilon = longitude_obliquity_nutation(jce, x0, x1, x2, x3, x4) epsilon0 = mean_ecliptic_obliquity(jme) epsilon = true_ecliptic_obliquity(epsilon0, delta_epsilon) delta_tau = aberration_correction(R) lamd = apparent_sun_longitude(Theta, delta_psi, delta_tau) v0 = mean_sidereal_time(jd, jc) v = apparent_sidereal_time(v0, delta_psi, epsilon) alpha = geocentric_sun_right_ascension(lamd, epsilon, beta) delta = geocentric_sun_declination(lamd, epsilon, beta) if sst: # numba: delete return v, alpha, delta # numba: delete m = sun_mean_longitude(jme) eot = equation_of_time(m, alpha, delta_psi, epsilon) H = local_hour_angle(v, lon, alpha) xi = equatorial_horizontal_parallax(R) u = uterm(lat) x = xterm(u, lat, elev) y = yterm(u, lat, elev) delta_alpha = parallax_sun_right_ascension(x, xi, H, delta) delta_prime = topocentric_sun_declination(delta, x, y, xi, delta_alpha, H) H_prime = topocentric_local_hour_angle(H, delta_alpha) e0 = topocentric_elevation_angle_without_atmosphere(lat, delta_prime, H_prime) delta_e = atmospheric_refraction_correction(pressure, temp, e0, atmos_refract) e = topocentric_elevation_angle(e0, delta_e) theta = topocentric_zenith_angle(e) theta0 = topocentric_zenith_angle(e0) gamma = topocentric_astronomers_azimuth(H_prime, delta_prime, lat) phi = topocentric_azimuth_angle(gamma) return [theta, theta0, e, e0, phi, eot] try: if IS_NUMBA: # type: ignore try: import numpy as np except: pass import numba import numpy as np import threading # This is 3x slower without nogil @numba.njit(nogil=True) def solar_position_loop(unixtime, loc_args, out): """Loop through the time array and calculate the solar position.""" lat = loc_args[0] lon = loc_args[1] elev = loc_args[2] pressure = loc_args[3] temp = loc_args[4] delta_t = loc_args[5] atmos_refract = loc_args[6] sst = loc_args[7] esd = loc_args[8] for i in range(len(unixtime)): utime = unixtime[i] jd = julian_day(utime) jde = julian_ephemeris_day(jd, delta_t) jc = julian_century(jd) jce = julian_ephemeris_century(jde) jme = julian_ephemeris_millennium(jce) R = heliocentric_radius_vector(jme) L = heliocentric_longitude(jme) B = heliocentric_latitude(jme) Theta = geocentric_longitude(L) beta = geocentric_latitude(B) x0 = mean_elongation(jce) x1 = mean_anomaly_sun(jce) x2 = mean_anomaly_moon(jce) x3 = moon_argument_latitude(jce) x4 = moon_ascending_longitude(jce) # delta_psi = longitude_nutation(jce, x0, x1, x2, x3, x4) # delta_epsilon = obliquity_nutation(jce, x0, x1, x2, x3, x4) delta_psi, delta_epsilon = longitude_obliquity_nutation(jce, x0, x1, x2, x3, x4) epsilon0 = mean_ecliptic_obliquity(jme) epsilon = true_ecliptic_obliquity(epsilon0, delta_epsilon) delta_tau = aberration_correction(R) lamd = apparent_sun_longitude(Theta, delta_psi, delta_tau) v0 = mean_sidereal_time(jd, jc) v = apparent_sidereal_time(v0, delta_psi, epsilon) alpha = geocentric_sun_right_ascension(lamd, epsilon, beta) delta = geocentric_sun_declination(lamd, epsilon, beta) # if sst: # out[0, i] = v # out[1, i] = alpha # out[2, i] = delta # continue m = sun_mean_longitude(jme) eot = equation_of_time(m, alpha, delta_psi, epsilon) H = local_hour_angle(v, lon, alpha) xi = equatorial_horizontal_parallax(R) u = uterm(lat) x = xterm(u, lat, elev) y = yterm(u, lat, elev) delta_alpha = parallax_sun_right_ascension(x, xi, H, delta) delta_prime = topocentric_sun_declination(delta, x, y, xi, delta_alpha, H) H_prime = topocentric_local_hour_angle(H, delta_alpha) e0 = topocentric_elevation_angle_without_atmosphere(lat, delta_prime, H_prime) delta_e = atmospheric_refraction_correction(pressure, temp, e0, atmos_refract) e = topocentric_elevation_angle(e0, delta_e) theta = topocentric_zenith_angle(e) theta0 = topocentric_zenith_angle(e0) gamma = topocentric_astronomers_azimuth(H_prime, delta_prime, lat) phi = topocentric_azimuth_angle(gamma) out[0, i] = theta out[1, i] = theta0 out[2, i] = e out[3, i] = e0 out[4, i] = phi out[5, i] = eot def solar_position_numba(unixtime, lat, lon, elev, pressure, temp, delta_t, atmos_refract, numthreads, sst=False, esd=False): """Calculate the solar position using the numba compiled functions and multiple threads. Very slow if functions are not numba compiled. """ # these args are the same for each thread loc_args = np.array([lat, lon, elev, pressure, temp, delta_t, atmos_refract, sst, esd]) # construct dims x ulength array to put the results in ulength = unixtime.shape[0] if sst: dims = 3 elif esd: dims = 1 else: dims = 6 result = np.empty((dims, ulength), dtype=np.float64) if unixtime.dtype != np.float64: unixtime = unixtime.astype(np.float64) if ulength < numthreads: warnings.warn('The number of threads is more than the length of ' 'the time array. Only using %s threads.' %(length)) numthreads = ulength if numthreads <= 1: solar_position_loop(unixtime, loc_args, result) return result # split the input and output arrays into numthreads chunks split0 = np.array_split(unixtime, numthreads) split2 = np.array_split(result, numthreads, axis=1) chunks = [[a0, loc_args, split2[i]] for i, a0 in enumerate(split0)] # Spawn one thread per chunk threads = [threading.Thread(target=solar_position_loop, args=chunk) for chunk in chunks] for thread in threads: thread.start() for thread in threads: thread.join() return result except: pass def transit_sunrise_sunset(dates, lat, lon, delta_t): """Calculate the sun transit, sunrise, and sunset for a set of dates at a given location. Parameters ---------- dates : array Numpy array of ints/floats corresponding to the Unix time for the dates of interest, must be midnight UTC (00:00+00:00) on the day of interest. lat : float Latitude of location to perform calculation for lon : float Longitude of location delta_t : float Difference between terrestrial time and UT. USNO has tables. Returns ------- tuple : (transit, sunrise, sunset) localized to UTC >>> transit_sunrise_sunset(1523836800, 51.0486, -114.07, 70.68302220312503) (1523907360.3863413, 1523882341.570479, 1523932345.7781625) """ condition = (dates % 86400) != 0.0 if condition: raise ValueError('Input dates must be at 00:00 UTC') utday = (dates // 86400) * 86400 ttday0 = utday - delta_t ttdayn1 = ttday0 - 86400.0 ttdayp1 = ttday0 + 86400.0 # index 0 is v, 1 is alpha, 2 is delta utday_res = solar_position(utday, 0, 0, 0, 0, 0, delta_t, 0, sst=True) v = utday_res[0] ttday0_res = solar_position(ttday0, 0, 0, 0, 0, 0, delta_t, 0, sst=True) ttdayn1_res = solar_position(ttdayn1, 0, 0, 0, 0, 0, delta_t, 0, sst=True) ttdayp1_res = solar_position(ttdayp1, 0, 0, 0, 0, 0, delta_t, 0, sst=True) m0 = (ttday0_res[1] - lon - v) / 360 cos_arg = ((-0.014543315936696236 - sin(radians(lat)) # sin(radians(-0.8333)) = -0.0145... * sin(radians(ttday0_res[2]))) / (cos(radians(lat)) * cos(radians(ttday0_res[2])))) if abs(cos_arg) > 1: cos_arg = nan H0 = degrees(acos(cos_arg)) % 180 m = [0.0]*3 m[0] = m0 % 1 m[1] = (m[0] - H0 / 360.0) m[2] = (m[0] + H0 / 360.0) # need to account for fractions of day that may be the next or previous # day in UTC add_a_day = m[2] >= 1 sub_a_day = m[1] < 0 m[1] = m[1] % 1 m[2] = m[2] % 1 vs = [0.0]*3 for i in range(3): vs[i] = v + 360.985647*m[i] n = [0.0]*3 for i in range(3): n[i] = m[i] + delta_t / 86400.0 a = ttday0_res[1] - ttdayn1_res[1] if abs(a) > 2: a = a %1 ap = ttday0_res[2] - ttdayn1_res[2] if (abs(ap) > 2): ap = ap % 1 b = ttdayp1_res[1] - ttday0_res[1] if (abs(b) > 2): b = b % 1 bp = ttdayp1_res[2] - ttday0_res[2] if abs(bp) > 2: bp = bp % 1 c = b - a cp = bp - ap alpha_prime = [0.0]*3 delta_prime = [0.0]*3 Hp = [0.0]*3 for i in range(3): alpha_prime[i] = ttday0_res[1] + (n[i] * (a + b + c * n[i]))*0.5 delta_prime[i] = ttday0_res[2] + (n[i] * (ap + bp + cp * n[i]))*0.5 Hp[i] = (vs[i] + lon - alpha_prime[i]) % 360 if Hp[i] >= 180.0: Hp[i] = Hp[i] - 360.0 #alpha_prime = ttday0_res[1] + (n * (a + b + c * n)) / 2 # this is vect #delta_prime = ttday0_res[2] + (n * (ap + bp + cp * n)) / 2 # this is vect #Hp = (vs + lon - alpha_prime) % 360 #Hp[Hp >= 180] = Hp[Hp >= 180] - 360 x1 = sin(radians(lat)) x2 = cos(radians(lat)) h = [0.0]*3 for i in range(3): h[i] = degrees(asin(x1*sin(radians(delta_prime[i])) + x2 * cos(radians(delta_prime[i])) * cos(radians(Hp[i])))) T = float((m[0] - Hp[0] / 360.0) * 86400.0) R = float((m[1] + (h[1] + 0.8333) / (360.0 * cos(radians(delta_prime[1])) * cos(radians(lat)) * sin(radians(Hp[1])))) * 86400.0) S = float((m[2] + (h[2] + 0.8333) / (360.0 * cos(radians(delta_prime[2])) * cos(radians(lat)) * sin(radians(Hp[2])))) * 86400.0) if add_a_day: S += 86400.0 if sub_a_day: R -= 86400.0 transit = T + utday sunrise = R + utday sunset = S + utday return transit, sunrise, sunset def calculate_deltat(year, month): y = year + (month - 0.5)/12 if (2005 <= year) & (year < 2050): t1 = (y-2000.0) deltat = (62.92+0.32217*t1 + 0.005589*t1*t1) elif (1986 <= year) & (year < 2005): t1 = y - 2000.0 deltat = (63.86+0.3345*t1 - 0.060374*t1**2 + 0.0017275*t1**3 + 0.000651814*t1**4 + 0.00002373599*t1**5) elif (2050 <= year) & (year < 2150): deltat = (-20+32*((y-1820)/100)**2 - 0.5628*(2150-y)) elif year < -500.0: deltat = -20.0 + 32*(0.01*(y-1820.0))**2 elif (-500 <= year) & (year < 500): t1 = y/100 deltat = (10583.6-1014.41*(y/100) + 33.78311*(y/100)**2 - 5.952053*(y/100)**3 - 0.1798452*(y/100)**4 + 0.022174192*(y/100)**5 + 0.0090316521*(y/100)**6) elif (500 <= year) & (year < 1600): t1 = (y-1000)/100 deltat = (1574.2-556.01*((y-1000)/100) + 71.23472*((y-1000)/100)**2 + 0.319781*((y-1000)/100)**3 - 0.8503463*((y-1000)/100)**4 - 0.005050998*((y-1000)/100)**5 + 0.0083572073*((y-1000)/100)**6) elif (1600 <= year) & (year < 1700): t1 = (y-1600.0) deltat = (120-0.9808*(y-1600) - 0.01532*(y-1600)**2 + (y-1600)**3/7129) elif (1700 <= year) & (year < 1800): t1 = (y - 1700.0) deltat = (8.83+0.1603*(y-1700) - 0.0059285*(y-1700)**2 + 0.00013336*(y-1700)**3 - (y-1700)**4/1174000) elif (1800 <= year) & (year < 1860): t1 = y - 1800.0 deltat = (13.72-0.332447*(y-1800) + 0.0068612*(y-1800)**2 + 0.0041116*(y-1800)**3 - 0.00037436*(y-1800)**4 + 0.0000121272*(y-1800)**5 - 0.0000001699*(y-1800)**6 + 0.000000000875*(y-1800)**7) elif (1860 <= year) & (year < 1900): t1 = y-1860.0 deltat = (7.62+0.5737*(y-1860) - 0.251754*(y-1860)**2 + 0.01680668*(y-1860)**3 - 0.0004473624*(y-1860)**4 + (y-1860)**5/233174) elif (1900 <= year) & (year < 1920): t1 = y - 1900.0 deltat = (-2.79+1.494119*(y-1900) - 0.0598939*(y-1900)**2 + 0.0061966*(y-1900)**3 - 0.000197*(y-1900)**4) elif (1920 <= year) & (year < 1941): t1 = y - 1920.0 deltat = (21.20+0.84493*(y-1920) - 0.076100*(y-1920)**2 + 0.0020936*(y-1920)**3) elif (1941 <= year) & (year < 1961): t1 = y - 1950.0 deltat = (29.07+0.407*(y-1950) - (y-1950)**2/233 + (y-1950)**3/2547) elif (1961 <= year) & (year < 1986): t1 = y-1975 deltat = (45.45+1.067*(y-1975) - (y-1975)**2/260 - (y-1975)**3/718) elif year >= 2150: deltat = -20+32*((y-1820)/100)**2 return deltatfluids-1.0.22/fluids/piping.pyi0000644000175000017500000000221014302004506015674 0ustar nileshnilesh# DO NOT EDIT - AUTOMATICALLY GENERATED BY tests/make_test_stubs.py! from __future__ import annotations from typing import List from typing import ( List, Optional, Tuple, Union, ) def Di_lookup( Di: float, NPSes: List[float], Dis: List[float], Dos: List[float], ts: List[float] ) -> Tuple[int, float, float, float]: ... def Do_lookup( Do: float, NPSes: List[float], Dis: List[float], Dos: List[float], ts: List[float] ) -> Union[Tuple[int, float, int, float], Tuple[int, float, float, float]]: ... def NPS_lookup( NPS: float, NPSes: List[float], Dis: List[float], Dos: List[float], ts: List[float] ) -> Tuple[int, float, float, float]: ... def erosional_velocity(rho: int, C: int) -> float: ... def gauge_from_t(t: float, SI: bool = ..., schedule: str = ...) -> float: ... def nearest_pipe( Do: Optional[float] = ..., Di: Optional[float] = ..., NPS: Optional[int] = ..., schedule: Union[str, int, float] = ... ) -> Tuple[int, float, float, float]: ... def t_from_gauge(gauge: float, SI: bool = ..., schedule: str = ...) -> float: ... __all__: List[str]fluids-1.0.22/fluids/atmosphere.py0000644000175000017500000014270014302004506016415 0ustar nileshnilesh# -*- coding: utf-8 -*- """Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2016, 2017, 2018 Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. This module contains models of earth's atmosphere. Models are empirical and based on extensive research, primarily by NASA. For reporting bugs, adding feature requests, or submitting pull requests, please use the `GitHub issue tracker `_ or contact the author at Caleb.Andrew.Bell@gmail.com. .. contents:: :local: Atmospheres ----------- .. autoclass:: ATMOSPHERE_1976 :members: .. autoclass:: ATMOSPHERE_NRLMSISE00 :members: .. autofunction:: airmass Solar Radiation and Position ---------------------------- .. autofunction:: solar_position .. autofunction:: solar_irradiation .. autofunction:: sunrise_sunset .. autofunction:: earthsun_distance Wind Models (requires Fortran compiler!) ---------------------------------------- .. autofunction:: hwm93 .. autofunction:: hwm14 """ from __future__ import division from math import sqrt, exp, cos, radians, pi, sin import time import os from fluids.constants import N_A, R, au from fluids.numerics import brenth, quad, numpy as np try: from datetime import datetime, timedelta except: pass __all__ = ['ATMOSPHERE_1976', 'ATMOSPHERE_NRLMSISE00', 'hwm93', 'hwm14', 'earthsun_distance', 'solar_position', 'solar_irradiation', 'sunrise_sunset'] no_gfortran_error = '''This function uses f2py to encapsulate a fortran \ routine. However, f2py did not detect one on installation and could not compile \ this routine. ''' try: # Needed by hwm14 os.environ["HWMPATH"] = os.path.join(os.path.dirname(__file__), 'optional') except: pass H_std = [0.0, 11E3, 20E3, 32E3, 47E3, 51E3, 71E3, 84852.0] T_grad = [-6.5E-3, 0.0, 1E-3, 2.8E-3, 0.0, -2.8E-3, -2E-3, 0.0] T_std = [288.15, 216.65, 216.65, 228.65, 270.65, 270.65, 214.65, 186.946] P_std = [101325, 22632.06397346291, 5474.8886696777745, 868.0186847552279, 110.90630555496608, 66.93887311868738, 3.956420428040732, 0.3733835899762159] r0 = 6356766.0 P0 = 101325.0 M0 = 28.9644 g0 = 9.80665 gamma = 1.400 def H_for_P_ATMOSPHERE_1976_err(H, P1): return ATMOSPHERE_1976(H, 0.0).P - P1 def to_int_dP_ATMOSPHERE_1976(Z, dT): atm = ATMOSPHERE_1976(Z, dT) return atm.g*atm.rho class ATMOSPHERE_1976(object): r'''US Standard Atmosphere 1976 class, which calculates `T`, `P`, `rho`, `v_sonic`, `mu`, `k`, and `g` as a function of altitude above sea level. Designed to provide reasonable results up to an elevation of 86,000 m (0.4 Pa). The model is also valid under sea level, to -610 meters. Parameters ---------- Z : float Elevation, [m] dT : float, optional Temperature difference from standard conditions used in determining the properties of the atmosphere, [K] Attributes ---------- T : float Temperature of atmosphere at specified conditions, [K] P : float Pressure of atmosphere at specified conditions, [Pa] rho : float Mass density of atmosphere at specified conditions [kg/m^3] H : float Geopotential height, [m] g : float Acceleration due to gravity, [m/s^2] mu : float Viscosity of atmosphere at specified conditions, [Pa*s] k : float Thermal conductivity of atmosphere at specified conditions, [W/m/K] v_sonic : float Speed of sound of atmosphere at specified conditions, [m/s] Examples -------- >>> five_km = ATMOSPHERE_1976(5000) >>> five_km.P, five_km.rho, five_km.mu (54048.28614576141, 0.7364284207799743, 1.628248135362207e-05) >>> five_km.k, five_km.g, five_km.v_sonic (0.02273190295142526, 9.791241076982665, 320.5455196704035) Notes ----- Up to 32 km, the International Standard Atmosphere (ISA) and World Meteorological Organization (WMO) standard atmosphere are identical. This is a revision of the US 1962 atmosphere. References ---------- .. [1] NOAA, NASA, and USAF. "U.S. Standard Atmosphere, 1976" October 15, 1976. http://ntrs.nasa.gov/search.jsp?R=19770009539. .. [2] "ISO 2533:1975 - Standard Atmosphere." ISO. http://www.iso.org/iso/catalogue_detail.htm?csnumber=7472. .. [3] Yager, Robert J. "Calculating Atmospheric Conditions (Temperature, Pressure, Air Density, and Speed of Sound) Using C++," June 2013. http://www.dtic.mil/cgi-bin/GetTRDoc?AD=ADA588839 ''' def __init__(self, Z, dT=0.0): self.Z = Z self.dT = dT self.H = r0*Z/(r0+Z) i = self._get_ind_from_H(self.H) self.T_layer = T_std[i] self.T_increase = T_grad[i] self.P_layer = P_std[i] self.H_layer = H_std[i] self.H_above_layer = self.H - self.H_layer self.T = self.T_layer + self.T_increase*self.H_above_layer R = 8314.32 if self.T_increase == 0.0: self.P = self.P_layer*exp(-g0*M0*(self.H_above_layer)/(R*self.T_layer)) else: self.P = self.P_layer*(self.T_layer/self.T)**(g0*M0/(R*self.T_increase)) # Affects only the following properties self.T += dT self.rho = self.density(self.T, self.P) self.v_sonic = self.sonic_velocity(self.T) self.mu = self.viscosity(self.T) self.k = self.thermal_conductivity(self.T) self.g = self.gravity(self.Z) @staticmethod def _get_ind_from_H(H): r'''Method defined in the US Standard Atmosphere 1976 for determining the index of the layer a specified elevation is above. Levels are 0, 11E3, 20E3, 32E3, 47E3, 51E3, 71E3, 84852 meters respectively. ''' if H <= 0.0: return 0 for ind, Hi in enumerate(H_std): if Hi >= H : return ind - 1 return 7 # case for > 84852 m. @staticmethod def thermal_conductivity(T): r'''Method defined in the US Standard Atmosphere 1976 for calculating thermal conductivity of air as a function of `T` only. .. math:: k_g = \frac{2.64638\times10^{-3}T^{1.5}} {T + 245.4\cdot 10^{-12./T}} Parameters ---------- T : float Temperature, [K] Returns ------- kg : float Thermal conductivity, [W/m/K] ''' # 10**(-12./T) = exp(-12*log(10)/T) = -27.63102111... return 2.64638E-3*T*sqrt(T)/(T + 245.4*exp(-27.63102111592855/T)) @staticmethod def viscosity(T): r'''Method defined in the US Standard Atmosphere 1976 for calculating viscosity of air as a function of `T` only. .. math:: \mu_g = \frac{1.458\times10^{-6}T^{1.5}}{T+110.4} Parameters ---------- T : float Temperature, [K] Returns ------- mug : float Viscosity, [Pa*s] ''' return 1.458E-6*T*sqrt(T)/(T + 110.4) @staticmethod def density(T, P): r'''Method defined in the US Standard Atmosphere 1976 for calculating density of air as a function of `T` and `P`. MW is defined as 28.9644 g/mol, and R as 8314.32 J/kmol/K .. math:: \rho_g = \frac{P\cdot MW}{T\cdot R\cdot 1000} Parameters ---------- T : float Temperature, [K] P : float Pressure, [Pa] Returns ------- rho : float Mass density, [kg/m^3] ''' # 0.00348367635597379 = M0/R return P*0.00348367635597379/T @staticmethod def sonic_velocity(T): r'''Method defined in the US Standard Atmosphere 1976 for calculating the speed of sound in air as a function of `T` only. .. math:: c = \left(\frac{\gamma R T}{MW}\right)^{0.5} Parameters ---------- T : float Temperature, [K] Returns ------- c : float Speed of sound, [m/s] ''' # 401.87... = gamma*R/MO return sqrt(401.87430086589046*T) @staticmethod def gravity(Z): r'''Method defined in the US Standard Atmosphere 1976 for calculating the gravitational acceleration above earth as a function of elevation only. .. math:: g = g_0\left(\frac{r_0}{r_0+Z}\right)^2 Parameters ---------- Z : float Elevation above sea level, [m] Returns ------- g : float Acceleration due to gravity, [m/s^2] ''' x0 = (r0/(r0+Z)) return g0*x0*x0 @staticmethod def pressure_integral(T1, P1, dH): r'''Method to compute an integral of the pressure differential of an elevation difference with a base elevation defined by temperature `T1` and pressure `P1`. This is similar to subtracting the pressures at two different elevations, except it allows for local conditions (temperature and pressure) to be taken into account. This is useful for e.x. evaluating the pressure difference between the top and bottom of a natural draft cooling tower. Parameters ---------- T1 : float Temperature at the lower elevation condition, [K] P1 : float Pressure at the lower elevation condition, [Pa] dH : float Elevation difference for which to evaluate the pressure difference, [m] Returns ------- delta_P : float Pressure difference between the elevations, [Pa] ''' # Compute the elevation to obtain the pressure specified H_ref = brenth(H_for_P_ATMOSPHERE_1976_err, -610.0, 86000.0, args=(P1,)) # Compute the temperature delta dT = T1 - ATMOSPHERE_1976(H_ref, 0.0).T return quad(to_int_dP_ATMOSPHERE_1976, H_ref, H_ref+dH, args=(dT,))[0] class ATMOSPHERE_NRLMSISE00(object): r'''NRLMSISE 00 model for calculating temperature and density of gases in the atmosphere, from ground level to 1000 km, as a function of time of year, longitude and latitude, solar activity and earth's geomagnetic disturbance. NRLMSISE stands for the `US Naval Research Laboratory Mass Spectrometer and Incoherent Scatter Radar Exosphere` model, released in 2001; see [1]_ for details. Parameters ---------- Z : float Elevation, [m] latitude : float, optional Latitude, between -90 and 90 [degrees] longitude : float, optional Longitude, between -180 and 180 or 0 and 360, [degrees] day : float, optional Day of year, 0-366 [day] seconds : float, optional Seconds since start of day, in UT1 time; using UTC provides no loss in accuracy [s] f107 : float, optional Daily average 10.7 cm solar flux measurement of the strength of solar emissions on the 100 MHz band centered on 2800 MHz, averaged hourly; in sfu units, which are multiples of 10^-22 W/m^2/Hz; use 150 as a default [10^-22 W/m^2/Hz] f107_avg : float, optional 81-day sfu average; centered on specified day if possible, otherwise use the previous days [10^-22 W/m^2/Hz] geomagnetic_disturbance_indices : list of float, optional List of the 7 following `Ap` indexes also known as planetary magnetic indexes. Has a negligible effect on the calculation. 4 is the default value often used for each of these values, [-] * Average daily `Ap`. * 3-hour average `Ap` centered on the current time. * 3-hour average `Ap` before the current time. * 6-hour average `Ap` before the current time. * 9-hour average `Ap` before the current time. * Average `Ap` from 12 to 33 hours before the current time, based on eight 3-hour average `Ap` values. * Average `Ap` from 36 to 57 hours before the current time, based on eight 3-hour average `Ap` values. Attributes ---------- rho : float Mass density [kg/m^3] T : float Temperature, [K] P : float Pressure, calculated with ideal gas law [Pa] He_density : float Density of helium atoms [count/m^3] O_density : float Density of monatomic oxygen [count/m^3] N2_density : float Density of nitrogen molecules [count/m^3] O2_density : float Density of oxygen molecules [count/m^3] Ar_density : float Density of Argon atoms [count/m^3] H_density : float Density of hydrogen atoms [count/m^3] N_density : float Density of monatomic nitrogen [count/m^3] O_anomalous_density : float Density of `anomalous` oxygen; see [1]_ for details [count/m^3] particle_density : float Total density of molecules [count/m^3] components : list[str] List of species making up the atmosphere [-] zs : list[float] Mole fractions of each molecule in the atmosphere, in order of `components` [-] Examples -------- >>> atmosphere = ATMOSPHERE_NRLMSISE00(1E3, 45, 45, 150) >>> atmosphere.T, atmosphere.rho (285.5440860623, 1.10190620264) Notes ----- No full description has been published of this model; it has been defined by its implementation only. It was written in FORTRAN, and is accessible at ftp://hanna.ccmc.gsfc.nasa.gov/pub/modelweb/atmospheric/msis/nrlmsise00/ A C port of the model by Dominik Brodowskihas become popular, and is available on his website: http://www.brodo.de/space/nrlmsise/. In 2013 Joshua Milas ported the C port to Python. This is an interface to his excellent port. It is a 1000-sloc model, and has been rigorously tested against the C version, and the online calculation tool available at [3]_ for parametric inputs of latitude, longitude, altitude, time of day and day of year. This model is based on measurements other than gravity; it does not provide a calculation method for `g`. It does not provide transport properties. This model takes on the order of ~2 ms. References ---------- .. [1] Picone, J. M., A. E. Hedin, D. P. Drob, and A. C. Aikin. "NRLMSISE-00 Empirical Model of the Atmosphere: Statistical Comparisons and Scientific Issues." Journal of Geophysical Research: Space Physics 107, no. A12 (December 1, 2002): 1468. doi:10.1029/2002JA009430. .. [2] Tapping, K. F. "The 10.7 Cm Solar Radio Flux (F10.7)." Space Weather 11, no. 7 (July 1, 2013): 394-406. doi:10.1002/swe.20064. .. [3] Natalia Papitashvili. "NRLMSISE-00 Atmosphere Model." Accessed November 27, 2016. http://ccmc.gsfc.nasa.gov/modelweb/models/nrlmsise00.php. ''' components = ['N2', 'O2', 'Ar', 'He', 'O', 'H', 'N'] atrrs = ['N2_density', 'O2_density', 'Ar_density', 'He_density', 'O_density', 'H_density', 'N_density'] MWs = [28.0134, 31.9988, 39.948, 4.002602, 15.9994, 1.00794, 14.0067] def __init__(self, Z, latitude=0.0, longitude=0.0, day=0, seconds=0.0, f107=150., f107_avg=150., geomagnetic_disturbance_indices=None): self.Z = Z self.latitude = latitude self.longitude = longitude self.day = day self.seconds = seconds self.f107 = f107 self.f107_avg = f107_avg self.geomagnetic_disturbance_indices = geomagnetic_disturbance_indices from fluids.nrlmsise00 import gtd7, nrlmsise_output, nrlmsise_input, nrlmsise_flags, ap_array alt = Z*1e-3 output_obj = nrlmsise_output() input_obj = nrlmsise_input() flags = nrlmsise_flags() flags.switches = [0] + [1]*23 if geomagnetic_disturbance_indices: aph = ap_array() aph.a = geomagnetic_disturbance_indices flags.switches[9] = -1 input_obj.ap = geomagnetic_disturbance_indices[0] input_obj.ap_a = aph input_obj.doy = day input_obj.year = 0 input_obj.sec = seconds input_obj.alt = alt input_obj.g_lat = latitude input_obj.g_long = longitude input_obj.lst = seconds/3600. + longitude/15. input_obj.f107A = f107_avg input_obj.f107 = f107 gtd7(input_obj, flags, output_obj) self.He_density = output_obj.d[0]*1E6 # 1/cm^3 to 1/m^3 self.O_density = output_obj.d[1]*1E6 # 1/cm^3 to 1/m^3 self.N2_density = output_obj.d[2]*1E6 # 1/cm^3 to 1/m^3 self.O2_density = output_obj.d[3]*1E6 # 1/cm^3 to 1/m^3 self.Ar_density = output_obj.d[4]*1E6 # 1/cm^3 to 1/m^3 self.rho = output_obj.d[5]*1000 # gram/cm^3 to kg/m^3 self.H_density = output_obj.d[6]*1E6 # 1/cm^3 to 1/m^3 self.N_density = output_obj.d[7]*1E6 # 1/cm^3 to 1/m^3 self.O_anomalous_density = output_obj.d[8]*1E6 # 1/cm^3 to 1/m^3 self.T_exospheric = output_obj.t[0] self.T = output_obj.t[1] # Calculate pressure with the ideal gas law PV = nRT with V = 1 m^3 self.P = sum([getattr(self, a) for a in self.atrrs])*self.T*R/N_A # Calculate mass density with known MWs self.rho_calculated = sum([getattr(self, a)*MW for c, a, MW in zip(self.components, self.atrrs, self.MWs)])/(1000.*N_A) self.particle_density = sum(getattr(self, a) for a in self.atrrs) self.zs = [getattr(self, a)/self.particle_density for a in self.atrrs] def hwm93(Z, latitude=0, longitude=0, day=0, seconds=0, f107=150., f107_avg=150., geomagnetic_disturbance_index=4): r'''Horizontal Wind Model 1993, for calculating wind velocity in the atmosphere as a function of time of year, longitude and latitude, solar activity and earth's geomagnetic disturbance. The model is described across the publications [1]_, [2]_, and [3]_. Parameters ---------- Z : float Elevation, [m] latitude : float, optional Latitude, between -90 and 90 [degrees] longitude : float, optional Longitude, between -180 and 180 or 0 and 360, [degrees] day : float, optional Day of year, 0-366 [day] seconds : float, optional Seconds since start of day, in UT1 time; using UTC provides no loss in accuracy [s] f107 : float, optional Daily average 10.7 cm solar flux measurement of the strength of solar emissions on the 100 MHz band centered on 2800 MHz, averaged hourly; in sfu units, which are multiples of 10^-22 W/m^2/Hz; use 150 as a default [W/m^2/Hz] f107_avg : float, optional 81-day sfu average; centered on specified day if possible, otherwise use the previous days [W/m^2/Hz] geomagnetic_disturbance_index : float, optional Average daily `Ap` or also known as planetary magnetic index. Returns ------- v_north : float Wind velocity, meridional (Northward) [m/s] v_east : float Wind velocity, zonal (Eastward) [m/s] Examples -------- >>> hwm93(5E5, 45, 50, 365) # doctest: +SKIP (-73.00312042236328, 0.1485661268234253) Notes ----- No full description has been published of this model; it has been defined by its implementation only. It was written in FORTRAN, and is accessible at ftp://hanna.ccmc.gsfc.nasa.gov/pub/modelweb/atmospheric/hwm93/. F2PY auto-compilation support is not yet currently supported. To compile this file, run the following command in a shell after navigating to $FLUIDSPATH/fluids/optional/. This should generate the file hwm93.so in that directory. .. code-block:: bash f2py -c hwm93.pyf hwm93.for --f77flags="-std=legacy" If the module is not compiled, an import error will be raised. References ---------- .. [1] Hedin, A. E., N. W. Spencer, and T. L. Killeen. "Empirical Global Model of Upper Thermosphere Winds Based on Atmosphere and Dynamics Explorer Satellite Data." Journal of Geophysical Research: Space Physics 93, no. A9 (September 1, 1988): 9959-78. doi:10.1029/JA093iA09p09959. .. [2] Hedin, A. E., M. A. Biondi, R. G. Burnside, G. Hernandez, R. M. Johnson, T. L. Killeen, C. Mazaudier, et al. "Revised Global Model of Thermosphere Winds Using Satellite and Ground-Based Observations." Journal of Geophysical Research: Space Physics 96, no. A5 (May 1, 1991): 7657-88. doi:10.1029/91JA00251. .. [3] Hedin, A. E., E. L. Fleming, A. H. Manson, F. J. Schmidlin, S. K. Avery, R. R. Clark, S. J. Franke, et al. "Empirical Wind Model for the Upper, Middle and Lower Atmosphere." Journal of Atmospheric and Terrestrial Physics 58, no. 13 (September 1996): 1421-47. doi:10.1016/0021-9169(95)00122-0. ''' try: from fluids.optional.hwm93 import gws5 except: # pragma: no cover raise ImportError(no_gfortran_error) slt_hour = seconds/3600. + longitude/15. ans = gws5(day, seconds, Z/1000., latitude, longitude, slt_hour, f107, f107_avg, geomagnetic_disturbance_index) return tuple(ans.tolist()) def hwm14(Z, latitude=0, longitude=0, day=0, seconds=0, geomagnetic_disturbance_index=4): r'''Horizontal Wind Model 2014, for calculating wind velocity in the atmosphere as a function of time of year, longitude and latitude, and earth's geomagnetic disturbance. The model is described in [1]_. The model no longer accounts for solar flux. Parameters ---------- Z : float Elevation, [m] latitude : float, optional Latitude, between -90 and 90 [degrees] longitude : float, optional Longitude, between -180 and 180 or 0 and 360, [degrees] day : float, optional Day of year, 0-366 [day] seconds : float, optional Seconds since start of day, in UT1 time; using UTC provides no loss in accuracy [s] geomagnetic_disturbance_index : float, optional Average daily `Ap` or also known as planetary magnetic index. Returns ------- v_north : float Wind velocity, meridional (Northward) [m/s] v_east : float Wind velocity, zonal (Eastward) [m/s] Examples -------- >>> hwm14(5E5, 45, 50, 365) # doctest: +SKIP (-38.64341354370117, 12.871272087097168) Notes ----- No full description has been published of this model; it has been defined by its implementation only. It was written in FORTRAN, and is accessible at http://onlinelibrary.wiley.com/store/10.1002/2014EA000089/asset/supinfo/ess224-sup-0002-supinfo.tgz?v=1&s=2a957ba70b7cf9dd0612d9430076297c3634ea75. F2PY auto-compilation support is not yet currently supported. To compile this file, run the following commands in a shell after navigating to $FLUIDSPATH/fluids/optional/. This should generate the file hwm14.so in that directory. Generate a .pyf signature file: .. code-block:: bash f2py -m hwm14 -h hwm14.pyf hwm14.f90 Compile the interface: .. code-block:: bash f2py -c hwm14.pyf hwm14.f90 If the module is not compiled, an import error will be raised. No patches were necessary to either the generated pyf or hwm14.f90 file, as the authors of [1]_ have made it F2PY compatible. Developed using 73 million data points taken by 44 instruments over 60 years. References ---------- .. [1] Drob, Douglas P., John T. Emmert, John W. Meriwether, Jonathan J. Makela, Eelco Doornbos, Mark Conde, Gonzalo Hernandez, et al. "An Update to the Horizontal Wind Model (HWM): The Quiet Time Thermosphere." Earth and Space Science 2, no. 7 (July 1, 2015): 2014EA000089. doi:10.1002/2014EA000089. ''' # Needed by hwm14 os.environ["HWMPATH"] = os.path.join(os.path.dirname(__file__), 'optional') try: try: from fluids.optional import hwm14 except: import optional.hwm14 except: # pragma: no cover raise ImportError(no_gfortran_error) ans = hwm14.hwm14(day, seconds, Z*1e-3, latitude, longitude, 0, 0, 0, np.array([np.nan, geomagnetic_disturbance_index])) return tuple(ans.tolist()) def to_int_airmass(Z, c1, c2, angle_term, R_planet_inv, func): rho = func(Z) t1 = c2 - rho*c1 x0 = angle_term/(1.0 + Z*R_planet_inv) t2 = x0*x0 t3 = 1.0/sqrt(1.0 - t1*t2) return rho*t3 def airmass(func, angle, H_max=86400.0, R_planet=6.371229E6, RI=1.000276): r'''Calculates mass of air per square meter in the atmosphere using a provided atmospheric model. The lowest air mass is calculated straight up; as the angle is lowered to nearer and nearer the horizon, the air mass increases, and can approach 40x or more the minimum airmass. .. math:: m(\gamma) = \int_0^\infty \rho \left\{1 - \left[1 + 2(\text{RI}-1) (1-\rho/\rho_0)\right] \left[\frac{\cos \gamma}{(1+h/R)}\right]^2\right\}^{-1/2} dH Parameters ---------- func : float Function which returns the density of the atmosphere as a function of elevation angle : float Degrees above the horizon (90 = straight up), [degrees] H_max : float, optional Maximum height to compute the integration up to before the contribution of density becomes negligible, [m] R_planet : float, optional The radius of the planet for which the integration is being performed, [m] RI : float, optional The refractive index of the atmosphere (air on earth at 0.7 um as default) assumed a constant, [-] Returns ------- m : float Mass of air per square meter in the atmosphere, [kg/m^2] Notes ----- Numerical integration via SciPy's `quad` is used to perform the calculation. Examples -------- >>> airmass(lambda Z : ATMOSPHERE_1976(Z).rho, 90) 10356.12 References ---------- .. [1] Kasten, Fritz, and Andrew T. Young. "Revised Optical Air Mass Tables and Approximation Formula." Applied Optics 28, no. 22 (November 15, 1989): 4735-38. https://doi.org/10.1364/AO.28.004735. ''' delta0 = RI - 1.0 rho0_inv = 1.0/func(0.0) angle_term = cos(radians(angle)) R_planet_inv = 1.0/R_planet c0 = delta0 + delta0 c1 = c0*rho0_inv c2 = 1.0 + c0 return quad(to_int_airmass, 0.0, 86400.0, args=(c1, c2, angle_term, R_planet_inv, func))[0] PVLIB_MISSING_MSG = 'The module pvlib is required for this function; install it first' def earthsun_distance(moment): r'''Calculates the distance between the earth and the sun as a function of date and time. Uses the Reda and Andreas (2004) model described in [1]_, originally incorporated into the excellent `pvlib library `_ Parameters ---------- moment : datetime Time and date for the calculation, in UTC time (or GMT, which is almost the same thing); OR a timezone-aware datetime instance which will be internally converted to UTC, [-] Returns ------- distance : float Distance between the center of the earth and the center of the sun, [m] Examples -------- >>> earthsun_distance(datetime(2003, 10, 17, 13, 30, 30)) 149090925951.18338 The distance at perihelion, which occurs at 4:21 according to this algorithm. The real value is 04:38 (January 2nd). >>> earthsun_distance(datetime(2013, 1, 2, 4, 21, 50)) 147098089490.67123 The distance at aphelion, which occurs at 14:44 according to this algorithm. The real value is dead on - 14:44 (July 5). >>> earthsun_distance(datetime(2013, 7, 5, 14, 44, 51, 0)) 152097354414.36044 Using a timezone-aware date: >>> import pytz >>> earthsun_distance(pytz.timezone('America/Edmonton').localize(datetime(2020, 6, 6, 10, 0, 0, 0))) 151817805599.67142 This has a slightly different value than the value without a timezone; almost 5000 km further away! >>> earthsun_distance(datetime(2020, 6, 6, 10, 0, 0, 0)) 151812898579.44104 Notes ----- This function is quite accurate. The difference comes from the impact of the moon. Note this function is not continuous; the sun-earth distance is not sufficiently accurately modeled for the change to be continuous throughout each day. References ---------- .. [1] Reda, Ibrahim, and Afshin Andreas. "Solar Position Algorithm for Solar Radiation Applications." Solar Energy 76, no. 5 (January 1, 2004): 577-89. https://doi.org/10.1016/j.solener.2003.12.003. ''' from fluids.optional import spa delta_t = spa.calculate_deltat(moment.year, moment.month) import calendar unixtime = calendar.timegm(moment.utctimetuple()) # Convert datetime object to unixtime return spa.earthsun_distance(unixtime, delta_t=delta_t)*au def solar_position(moment, latitude, longitude, Z=0.0, T=298.15, P=101325.0, atmos_refract=0.5667): r'''Calculate the position of the sun in the sky. It is defined in terms of two angles - the zenith and the azimith. The azimuth tells where a sundial would see the sun as coming from; the zenith tells how high in the sky it is. The solar elevation angle is returned for convenience; it is the complimentary angle of the zenith. The sun's refraction changes how high it appears as though the sun is; so values are returned with an optional conversion to the apparent angle. This impacts only the zenith/elevation. Uses the Reda and Andreas (2004) model described in [1]_, originally incorporated into the excellent `pvlib library `_ Parameters ---------- moment : datetime, optionally with pytz info Time and date for the calculation, in UTC time OR in the time zone of the latitude/longitude specified BUT WITH A TZINFO ATTACHED! Please be careful with this argument, time zones are confusing. [-] latitude : float Latitude, between -90 and 90 [degrees] longitude : float Longitude, between -180 and 180, [degrees] Z : float, optional Elevation above sea level for the solar position calculation, [m] T : float, optional Temperature of atmosphere at ground level, [K] P : float, optional Pressure of atmosphere at ground level, [Pa] atmos_refract : float, optional Atmospheric refractivity, [degrees] Returns ------- apparent_zenith : float Zenith of the sun as observed from the ground based after accounting for atmospheric refraction, [degrees] zenith : float Actual zenith of the sun (ignores atmospheric refraction), [degrees] apparent_altitude : float Altitude of the sun as observed from the ground based after accounting for atmospheric refraction, [degrees] altitude : float Actual altitude of the sun (ignores atmospheric refraction), [degrees] azimuth : float The azimuth of the sun, [degrees] equation_of_time : float Equation of time - the number of seconds to be added to the day's mean solar time to obtain the apparent solar noon time, [seconds] Examples -------- >>> import pytz Perth, Australia - sunrise >>> solar_position(pytz.timezone('Australia/Perth').localize(datetime(2020, 6, 6, 7, 10, 57)), -31.95265, 115.85742) [90.89617025931, 90.89617025931, -0.896170259317, -0.896170259317, 63.6016017691, 79.0711232143] Perth, Australia - Comparing against an online source https://www.suncalc.org/#/-31.9526,115.8574,9/2020.06.06/14:30/1/0 >>> solar_position(pytz.timezone('Australia/Perth').localize(datetime(2020, 6, 6, 14, 30, 0)), -31.95265, 115.85742) [63.4080568623, 63.4400018158, 26.59194313766, 26.55999818417, 325.121376246, 75.7467475485] Perth, Australia - time input without timezone; must be converted by user to UTC! >>> solar_position(datetime(2020, 6, 6, 14, 30, 0) - timedelta(hours=8), -31.95265, 115.85742) [63.4080568623, 63.4400018158, 26.59194313766, 26.55999818417, 325.121376246, 75.7467475485] Sunrise occurs when the zenith is 90 degrees (Calgary, AB): >>> local_time = datetime(2018, 4, 15, 6, 43, 5) >>> local_time = pytz.timezone('America/Edmonton').localize(local_time) >>> solar_position(local_time, 51.0486, -114.07)[0] 90.0005468548 Sunset occurs when the zenith is 90 degrees (13.5 hours later in this case): >>> solar_position(pytz.timezone('America/Edmonton').localize(datetime(2018, 4, 15, 20, 30, 28)), 51.0486, -114.07) [89.999569566, 90.5410381216, 0.000430433876, -0.541038121618, 286.831378190, 6.63142952587] Notes ----- If you were standing at the same longitude of the sun such that it was no further east or west than you were, the amount of angle it was south or north of you is the *zenith*. If it were directly overhead it would be 0°; a little north or south and it would be a little positive; near sunset or sunrise, near 90°; and at night, between 90° and 180°. The *solar altitude angle* is defined as 90° -`zenith`. Note the *elevation* angle is just another name for the *altitude* angle. The *azimuth* the angle in degrees that the sun is East of the North angle. It is positive North eastwards 0° to 360°. Other conventions may be used. Note that due to differences in atmospheric refractivity, estimation of sunset and sunrise are accuract to no more than one minute. Refraction conditions truly vary across the atmosphere; so characterizing it by an average value is limiting as well. References ---------- .. [1] Reda, Ibrahim, and Afshin Andreas. "Solar Position Algorithm for Solar Radiation Applications." Solar Energy 76, no. 5 (January 1, 2004): 577-89. https://doi.org/10.1016/j.solener.2003.12.003. .. [2] "Navigation - What Azimuth Description Systems Are in Use? - Astronomy Stack Exchange." https://astronomy.stackexchange.com/questions/237/what-azimuth-description-systems-are-in-use?rq=1. ''' from fluids.optional import spa import calendar tt = moment.utctimetuple() delta_t = spa.calculate_deltat(tt.tm_year, tt.tm_mon) unixtime = calendar.timegm(tt) # Input pressure in milibar; input temperature in deg C # print(dict(unixtime=unixtime, lat=latitude, lon=longitude, elev=Z, # pressure=P*1E-2, temp=T-273.15, delta_t=delta_t, # atmos_refract=atmos_refract, sst=False)) result = spa.solar_position(unixtime, lat=latitude, lon=longitude, elev=Z, pressure=P*1E-2, temp=T-273.15, delta_t=delta_t, atmos_refract=atmos_refract, sst=False) # confirmed equation of time https://www.minasi.com/figeot.asp # Convert minutes to seconds; sometimes negative, sometimes positive result[-1] = result[-1]*60.0 return result def sunrise_sunset(moment, latitude, longitude): r'''Calculates the times at which the sun is at sunset; sunrise; and halfway between sunrise and sunset (transit). Uses the Reda and Andreas (2004) model described in [1]_, originally incorporated into the excellent `pvlib library `_ Parameters ---------- moment : datetime Date for the calculation; needs to contain only the year, month, and day; if it is timezone-aware, the return values will be localized to this timezone [-] latitude : float Latitude, between -90 and 90 [degrees] longitude : float Longitude, between -180 and 180, [degrees] Returns ------- sunrise : datetime The time at the specified day when the sun rises **IN UTC IF MOMENT DOES NOT HAVE A TIMEZONE, OTHERWISE THE TIMEZONE GIVEN WITH IT**, [-] sunset : datetime The time at the specified day when the sun sets **IN UTC IF MOMENT DOES NOT HAVE A TIMEZONE, OTHERWISE THE TIMEZONE GIVEN WITH IT**, [-] transit : datetime The time at the specified day when the sun is at solar noon - halfway between sunrise and sunset **IN UTC IF MOMENT DOES NOT HAVE A TIMEZONE, OTHERWISE THE TIMEZONE GIVEN WITH IT**, [-] Examples -------- >>> sunrise, sunset, transit = sunrise_sunset(datetime(2018, 4, 17), ... 51.0486, -114.07) >>> sunrise datetime.datetime(2018, 4, 17, 12, 36, 55, 782660) >>> sunset datetime.datetime(2018, 4, 18, 2, 34, 4, 249326) >>> transit datetime.datetime(2018, 4, 17, 19, 35, 46, 686265) Example with time zone: >>> import pytz >>> sunrise_sunset(pytz.timezone('America/Edmonton').localize(datetime(2018, 4, 17)), 51.0486, -114.07) (datetime.datetime(2018, 4, 16, 6, 39, 1, 570479, tzinfo=), datetime.datetime(2018, 4, 16, 20, 32, 25, 778162, tzinfo=), datetime.datetime(2018, 4, 16, 13, 36, 0, 386341, tzinfo=)) Note that the year/month/day as input with a timezone, is converted to UTC time as well. Notes ----- This functions takes on the order of 2 ms per calculation. References ---------- .. [1] Reda, Ibrahim, and Afshin Andreas. "Solar Position Algorithm for Solar Radiation Applications." Solar Energy 76, no. 5 (January 1, 2004): 577-89. https://doi.org/10.1016/j.solener.2003.12.003. ''' from fluids.optional import spa import calendar if moment.utcoffset() is not None: moment_utc = moment + moment.utcoffset() else: moment_utc = moment delta_t = spa.calculate_deltat(moment_utc.year, moment_utc.month) # Strip the part of the day ymd_moment_utc = datetime(moment_utc.year, moment_utc.month, moment_utc.day) unixtime = calendar.timegm(ymd_moment_utc.utctimetuple()) unixtime = unixtime - unixtime % (86400) # Remove the remainder of the value, rounding it to the day it is transit, sunrise, sunset = spa.transit_sunrise_sunset(unixtime, lat=latitude, lon=longitude, delta_t=delta_t) transit = datetime.utcfromtimestamp(transit) sunrise = datetime.utcfromtimestamp(sunrise) sunset = datetime.utcfromtimestamp(sunset) if moment.tzinfo is not None: sunrise = moment.tzinfo.fromutc(sunrise) sunset = moment.tzinfo.fromutc(sunset) transit = moment.tzinfo.fromutc(transit) return sunrise, sunset, transit apparent_zenith_airmass_models = set(['simple', 'kasten1966', 'kastenyoung1989', 'gueymard1993', 'pickering2002']) true_zenith_airmass_models = set(['youngirvine1967', 'young1994']) def _get_extra_radiation_shim(datetime_or_doy, solar_constant=1366.1, method='spencer', epoch_year=2014, **kwargs): if method == 'spencer': if not isinstance(datetime_or_doy, (float, int)): dayofyear = datetime_or_doy.timetuple().tm_yday else: dayofyear = datetime_or_doy B = (2.*pi/365.)*(dayofyear - 1) RoverR0sqrd = (1.00011 + 0.034221*cos(B) + 0.00128*sin(B) + 0.000719*cos(2.0*B) + 7.7e-05*sin(2.0*B)) Ea = solar_constant * RoverR0sqrd return Ea from pvlib.irradiance import get_extra_radiation return get_extra_radiation(datetime_or_doy=datetime_or_doy, solar_constant=solar_constant, method=method, epoch_year=epoch_year, **kwargs) def solar_irradiation(latitude, longitude, Z, moment, surface_tilt, surface_azimuth, T=None, P=None, solar_constant=1366.1, atmos_refract=0.5667, albedo=0.25, linke_turbidity=None, extraradiation_method='spencer', airmass_model='kastenyoung1989', cache=None): r'''Calculates the amount of solar radiation and radiation reflected back the atmosphere which hits a surface at a specified tilt, and facing a specified azimuth. This functions is a wrapper for the incredibly comprehensive `pvlib library `_, and requires it to be installed. Parameters ---------- latitude : float Latitude, between -90 and 90 [degrees] longitude : float Longitude, between -180 and 180, [degrees] Z : float, optional Elevation above sea level for the position, [m] moment : datetime, optionally with pytz info Time and date for the calculation, in UTC time OR in the time zone of the latitude/longitude specified BUT WITH A TZINFO ATTACHED! Please be careful with this argument, time zones are confusing. [-] surface_tilt : float The angle above the horizontal of the object being hit by radiation, [degrees] surface_azimuth : float The angle the object is facing (positive, North eastwards 0° to 360°), [degrees] T : float, optional Temperature of atmosphere at ground level, [K] P : float, optional Pressure of atmosphere at ground level, [Pa] solar_constant : float, optional The amount of solar radiation which reaches earth's disk (at a standardized distance of 1 AU); this constant is independent of activity or conditions on earth, but will vary throughout the sun's lifetime and may increase or decrease slightly due to solar activity, [W/m^2] atmos_refract : float, optional Atmospheric refractivity at sunrise/sunset (0.5667 deg is an often used value; this varies substantially and has an impact of a few minutes on when sunrise and sunset is), [degrees] albedo : float, optional The average amount of reflection of the terrain surrounding the object at quite a distance; this impacts how much sunlight reflected off the ground, gets reflected back off clouds, [-] linke_turbidity : float, optional The amount of pollution/water in the sky versus a perfect clear sky; If not specified, this will be retrieved from a historical grid; typical values are 3 for cloudy, and 7 for severe pollution around a city, [-] extraradiation_method : str, optional The specified method to calculate the effect of earth's position on the amount of radiation which reaches earth according to the methods available in the `pvlib` library, [-] airmass_model : str, optional The specified method to calculate the amount of air the sunlight needs to travel through to reach the earth according to the methods available in the `pvlib` library, [-] cache : dict, optional Dictionary to to check for values to use to skip some calculations; `apparent_zenith`, `zenith`, `azimuth` supported, [-] Returns ------- poa_global : float The total irradiance in the plane of the surface, [W/m^2] poa_direct : float The total beam irradiance in the plane of the surface, [W/m^2] poa_diffuse : float The total diffuse irradiance in the plane of the surface, [W/m^2] poa_sky_diffuse : float The sky component of the diffuse irradiance, excluding the impact from the ground, [W/m^2] poa_ground_diffuse : float The ground-sky diffuse irradiance component, [W/m^2] Examples -------- >>> import pytz >>> solar_irradiation(Z=1100.0, latitude=51.0486, longitude=-114.07, linke_turbidity=3, ... moment=pytz.timezone('America/Edmonton').localize(datetime(2018, 4, 15, 13, 43, 5)), surface_tilt=41.0, ... surface_azimuth=180.0) (1065.7621896280, 945.2656564506, 120.49653317744, 95.31535344213, 25.181179735317) >>> cache = {'apparent_zenith': 41.099082295767545, 'zenith': 41.11285376417578, 'azimuth': 182.5631874250523} >>> solar_irradiation(Z=1100.0, latitude=51.0486, longitude=-114.07, ... moment=pytz.timezone('America/Edmonton').localize(datetime(2018, 4, 15, 13, 43, 5)), surface_tilt=41.0, ... linke_turbidity=3, T=300, P=1E5, ... surface_azimuth=180.0, cache=cache) (1042.567770367, 918.237754854, 124.3300155131, 99.622865737, 24.7071497753) At night, there is no solar radiation and this function returns zeros: >>> solar_irradiation(Z=1100.0, latitude=51.0486, longitude=-114.07, linke_turbidity=3, ... moment=pytz.timezone('America/Edmonton').localize(datetime(2018, 4, 15, 2, 43, 5)), surface_tilt=41.0, ... surface_azimuth=180.0) (0.0, -0.0, 0.0, 0.0, 0.0) Notes ----- The retrieval of `linke_turbidity` requires the pytables library (and Pandas); if it is not installed, specify a value of `linke_turbidity` to avoid the dependency. There is some redundancy of the calculated results, according to the following relations. The total irradiance is normally that desired for engineering calculations. poa_diffuse = poa_ground_diffuse + poa_sky_diffuse poa_global = poa_direct + poa_diffuse For a surface such as a pipe or vessel, an approach would be to split it into a number of rectangles and sum up the radiation absorbed by each. This calculation is fairly slow. References ---------- .. [1] Will Holmgren, Calama-Consulting, Tony Lorenzo, Uwe Krien, bmu, DaCoEx, mayudong, et al. Pvlib/Pvlib-Python: 0.5.1. Zenodo, 2017. https://doi.org/10.5281/zenodo.1016425. ''' # Atmospheric refraction at sunrise/sunset (0.5667 deg is an often used value) import calendar from fluids.optional import spa from fluids.optional.irradiance import (get_relative_airmass, get_absolute_airmass, ineichen, get_relative_airmass, get_absolute_airmass, get_total_irradiance) moment_timetuple = moment.timetuple() moment_arg_dni = (moment_timetuple.tm_yday if extraradiation_method == 'spencer' else moment) dni_extra = _get_extra_radiation_shim(moment_arg_dni, solar_constant=solar_constant, method=extraradiation_method, epoch_year=moment.year) if T is None or P is None: atmosphere = ATMOSPHERE_NRLMSISE00(Z=Z, latitude=latitude, longitude=longitude, day=moment_timetuple.tm_yday) if T is None: T = atmosphere.T if P is None: P = atmosphere.P if cache is not None and 'zenith' in cache: zenith = cache['zenith'] apparent_zenith = cache['apparent_zenith'] azimuth = cache['azimuth'] else: apparent_zenith, zenith, _, _, azimuth, _ = solar_position(moment=moment, latitude=latitude, longitude=longitude, Z=Z, T=T, P=P, atmos_refract=atmos_refract) if linke_turbidity is None: try: import pvlib except: raise ImportError(PVLIB_MISSING_MSG) from pvlib.clearsky import lookup_linke_turbidity import pandas as pd linke_turbidity = float(lookup_linke_turbidity( pd.DatetimeIndex([moment]), latitude, longitude).values) if airmass_model in apparent_zenith_airmass_models: used_zenith = apparent_zenith elif airmass_model in true_zenith_airmass_models: used_zenith = zenith else: raise ValueError('Unrecognized airmass model') relative_airmass = get_relative_airmass(used_zenith, model=airmass_model) airmass_absolute = get_absolute_airmass(relative_airmass, pressure=P) ans = ineichen(apparent_zenith=apparent_zenith, airmass_absolute=airmass_absolute, linke_turbidity=linke_turbidity, altitude=Z, dni_extra=solar_constant, perez_enhancement=True) ghi = ans['ghi'] dni = ans['dni'] dhi = ans['dhi'] # from pvlib.irradiance import get_total_irradiance ans = get_total_irradiance(surface_tilt=surface_tilt, surface_azimuth=surface_azimuth, solar_zenith=apparent_zenith, solar_azimuth=azimuth, dni=dni, ghi=ghi, dhi=dhi, dni_extra=dni_extra, airmass=airmass_absolute, albedo=albedo) poa_global = float(ans['poa_global']) poa_direct = float(ans['poa_direct']) poa_diffuse = float(ans['poa_diffuse']) poa_sky_diffuse = float(ans['poa_sky_diffuse']) poa_ground_diffuse = float(ans['poa_ground_diffuse']) return (poa_global, poa_direct, poa_diffuse, poa_sky_diffuse, poa_ground_diffuse) fluids-1.0.22/fluids/filters.py0000644000175000017500000002602214302004506015714 0ustar nileshnilesh# -*- coding: utf-8 -*- """Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2016, 2017, 2018, 2019, 2020 Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. This module contains correlations for the loss coefficient of various types of filters in a pipe or channel. For reporting bugs, adding feature requests, or submitting pull requests, please use the `GitHub issue tracker `_ or contact the author at Caleb.Andrew.Bell@gmail.com. .. contents:: :local: Loss Coefficients for Screens ----------------------------- .. autofunction:: round_edge_screen .. autofunction:: round_edge_open_mesh .. autofunction:: square_edge_screen Loss Coefficients for Grills ---------------------------- .. autofunction:: square_edge_grill .. autofunction:: round_edge_grill """ from __future__ import division from math import radians, cos from fluids.numerics import interp, implementation_optimize_tck, splev __all__ = ['round_edge_screen', 'round_edge_open_mesh', 'square_edge_screen', 'square_edge_grill', 'round_edge_grill'] round_Res = [20.0, 30.0, 40.0, 60.0, 80.0, 100.0, 200.0, 400.0] round_betas = [1.3, 1.1, 0.95, 0.83, 0.75, 0.7, 0.6, 0.52] '''Quadratic interpolation with no smoothing, constant value extremities returned when outside table limits''' round_thetas = [0.0, 10.0, 20.0, 30.0, 40.0, 50.0, 60.0, 70.0, 80.0, 85.0] round_gammas = [1.0, 0.97, 0.88, 0.75, 0.59, 0.45, 0.3, 0.23, 0.15, 0.09] '''Quadratic interpolation with no smoothing, constant value extremities returned when outside table limits''' '''Quadratic interpolation with no smoothing, constant value extremities returned when outside table limits. Last actual value in the original table is K=1000 at alpha=0.05; the rest are extrapolated.''' square_alphas = [0.0015625, 0.003125, 0.00625, 0.0125, 0.025, 0.05, 0.1, 0.15, 0.2, 0.25, 0.3, 0.35, 0.4, 0.45, 0.5, 0.55, 0.6, 0.65, 0.7, 0.75, 0.8, 0.85, 0.9, 1.] square_Ks = [1024000., 256000, 64000, 16000, 4000, 1000., 250., 85., 52., 30., 17., 11., 7.7, 5.5, 3.8, 2.8, 2, 1.5, 1.1, 0.78, 0.53, 0.35, 0.08, 0.] grills_rounded_alphas = [0.3, 0.4, 0.5, 0.6, 0.7] grills_rounded_Ks = [2.0, 1.0, 0.6, 0.4, 0.2] '''Cubic interpolation with no smoothing, constant value extremities returned when outside table limits''' grills_rounded_tck = implementation_optimize_tck([[0.3, 0.3, 0.3, 0.45, 0.55, 0.7, 0.7, 0.7], [2.0, 1.0014285714285716, 0.5799999999999998, 0.3585714285714287, 0.2, 0.0, 0.0, 0.0], 2]) def round_edge_screen(alpha, Re, angle=0.0): r'''Returns the loss coefficient for a round edged wire screen or bar screen, as shown in [1]_. Angle of inclination may be specified as well. Parameters ---------- alpha : float Fraction of screen open to flow [-] Re : float Reynolds number of flow through screen with D = space between rods, [] angle : float, optional Angle of inclination, with 0 being straight and 90 being parallel to flow [degrees] Returns ------- K : float Loss coefficient [-] Notes ----- Linear interpolation between a table of values. Re table extends from 20 to 400, with constant values outside of the table. This behavior should be adequate. alpha should be between 0.05 and 0.8. If angle is over 85 degrees, the value at 85 degrees is used. The velocity the loss coefficient relates to is the approach velocity before the screen. Examples -------- >>> round_edge_screen(0.5, 100) 2.0999999999999996 >>> round_edge_screen(0.5, 100, 45) 1.05 References ---------- .. [1] Blevins, Robert D. Applied Fluid Dynamics Handbook. New York, N.Y.: Van Nostrand Reinhold Co., 1984. ''' beta = interp(Re, round_Res, round_betas) alpha2 = alpha*alpha K = beta*(1.0 - alpha2)/alpha2 if angle is not None: if angle <= 45.0: v = cos(radians(angle)) K *= v*v else: K *= interp(angle, round_thetas, round_gammas) return K def round_edge_open_mesh(alpha, subtype='diamond pattern wire', angle=0.0): r'''Returns the loss coefficient for a round edged open net/screen made of one of the following patterns, according to [1]_: 'round bar screen': .. math:: K = 0.95(1-\alpha) + 0.2(1-\alpha)^2 'diamond pattern wire': .. math:: K = 0.67(1-\alpha) + 1.3(1-\alpha)^2 'knotted net': .. math:: K = 0.70(1-\alpha) + 4.9(1-\alpha)^2 'knotless net': .. math:: K = 0.72(1-\alpha) + 2.1(1-\alpha)^2 Parameters ---------- alpha : float Fraction of net/screen open to flow [-] subtype : str One of 'round bar screen', 'diamond pattern wire', 'knotted net' or 'knotless net'. angle : float, optional Angle of inclination, with 0 being straight and 90 being parallel to flow [degrees] Returns ------- K : float Loss coefficient [-] Notes ----- `alpha` should be between 0.85 and 1 for these correlations. Flow should be turbulent, with Re > 500. The velocity the loss coefficient relates to is the approach velocity before the mesh. Examples -------- >>> round_edge_open_mesh(0.96, angle=33.) 0.02031327712601458 References ---------- .. [1] Blevins, Robert D. Applied Fluid Dynamics Handbook. New York, N.Y.: Van Nostrand Reinhold Co., 1984. ''' one_m_alpha = (1.0-alpha) if subtype == 'round bar screen': K = 0.95 + 0.2*one_m_alpha elif subtype == 'diamond pattern wire': K = 0.67 + 1.3*one_m_alpha elif subtype == 'knotted net': K = 0.70 + 4.9*one_m_alpha elif subtype == 'knotless net': K = 0.72 + 2.1*one_m_alpha else: raise ValueError('Subtype not recognized') K *= one_m_alpha if angle is not None: if angle < 45.0: K *= cos(radians(angle))**2.0 else: K *= interp(angle, round_thetas, round_gammas) return K def square_edge_screen(alpha): r'''Returns the loss coefficient for a square wire screen or square bar screen or perforated plate with squared edges, as shown in [1]_. Parameters ---------- alpha : float Fraction of screen open to flow [-] Returns ------- K : float Loss coefficient [-] Notes ----- Linear interpolation between a table of values. The velocity the loss coefficient relates to is the approach velocity before the screen. Examples -------- >>> square_edge_screen(0.99) 0.008000000000000007 References ---------- .. [1] Blevins, Robert D. Applied Fluid Dynamics Handbook. New York, N.Y.: Van Nostrand Reinhold Co., 1984. ''' return interp(alpha, square_alphas, square_Ks) def square_edge_grill(alpha, l=None, Dh=None, fd=None): r'''Returns the loss coefficient for a square grill or square bar screen or perforated plate with squared edges of thickness l, as shown in [1]_. for Dh < l < 50D .. math:: K = \frac{0.5(1-\alpha) + (1-\alpha^2)}{\alpha^2} else: .. math:: K = \frac{0.5(1-\alpha) + (1-\alpha^2) + f{l}/D}{\alpha^2} Parameters ---------- alpha : float Fraction of grill open to flow [-] l : float, optional Thickness of the grill or plate [m] Dh : float, optional Hydraulic diameter of gap in grill, [m] fd : float, optional Darcy friction factor [-] Returns ------- K : float Loss coefficient [-] Notes ----- If l, Dh, or fd is not provided, the first expression is used instead. The alteration of the expression to include friction factor is there if the grill is long enough to have considerable friction along the surface of the grill. The velocity the loss coefficient relates to is the approach velocity before the grill. Examples -------- >>> square_edge_grill(.45) 5.296296296296296 >>> square_edge_grill(.45, l=.15, Dh=.002, fd=.0185) 12.148148148148147 References ---------- .. [1] Blevins, Robert D. Applied Fluid Dynamics Handbook. New York, N.Y.: Van Nostrand Reinhold Co., 1984. ''' x0 = 0.5*(1.0 - alpha) alpha2 = alpha*alpha x0 += (1.0 - alpha2) if Dh is not None and l is not None and fd is not None and l > 50.0*Dh: x0 += fd*l/Dh return x0/alpha2 def round_edge_grill(alpha, l=None, Dh=None, fd=None): r'''Returns the loss coefficient for a rounded square grill or square bar screen or perforated plate with rounded edges of thickness l, as shown in [1]_. for Dh < l < 50D .. math:: K = lookup(alpha) else: .. math:: K = lookup(alpha) + \frac{fl}{\alpha^2D} Parameters ---------- alpha : float Fraction of grill open to flow [-] l : float, optional Thickness of the grill or plate [m] Dh : float, optional Hydraulic diameter of gap in grill, [m] fd : float, optional Darcy friction factor [-] Returns ------- K : float Loss coefficient [-] Notes ----- If l, Dh, or fd is not provided, the first expression is used instead. The alteration of the expression to include friction factor is there if the grill is long enough to have considerable friction along the surface of the grill. alpha must be between 0.3 and 0.7. The velocity the loss coefficient relates to is the approach velocity before the grill. Examples -------- >>> round_edge_grill(.4) 1.0 >>> round_edge_grill(.4, l=.15, Dh=.002, fd=.0185) 2.3874999999999997 References ---------- .. [1] Blevins, Robert D. Applied Fluid Dynamics Handbook. New York, N.Y.: Van Nostrand Reinhold Co., 1984. ''' t1 = float(splev(alpha, grills_rounded_tck)) if Dh and l and fd and l > 50.0*Dh: return t1 + fd*l/Dh else: return t1 fluids-1.0.22/fluids/two_phase_voidage.py0000644000175000017500000027070714302004506017746 0ustar nileshnilesh# -*- coding: utf-8 -*- """Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2016, 2017, 2018, 2020 Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. This module contains functions for calculating void fraction/holdup in two-phase flow. This is an important parameter for predicting pressure drop. Also included are empirical "two phase viscosity" definitions which do not have a physical meaning but are often used in pressure drop correlations. For reporting bugs, adding feature requests, or submitting pull requests, please use the `GitHub issue tracker `_ or contact the author at Caleb.Andrew.Bell@gmail.com. .. contents:: :local: Interfaces ---------- .. autofunction:: liquid_gas_voidage .. autofunction:: liquid_gas_voidage_methods .. autofunction:: density_two_phase .. autofunction:: gas_liquid_viscosity .. autofunction:: gas_liquid_viscosity_methods Void Fraction/Holdup Correlations --------------------------------- .. autofunction:: Thom .. autofunction:: Zivi .. autofunction:: Smith .. autofunction:: Fauske .. autofunction:: Chisholm_voidage .. autofunction:: Turner_Wallis .. autofunction:: homogeneous .. autofunction:: Chisholm_Armand .. autofunction:: Armand .. autofunction:: Nishino_Yamazaki .. autofunction:: Guzhov .. autofunction:: Kawahara .. autofunction:: Baroczy .. autofunction:: Tandon_Varma_Gupta .. autofunction:: Harms .. autofunction:: Domanski_Didion .. autofunction:: Graham .. autofunction:: Yashar .. autofunction:: Huq_Loth .. autofunction:: Kopte_Newell_Chato .. autofunction:: Steiner .. autofunction:: Rouhani_1 .. autofunction:: Rouhani_2 .. autofunction:: Nicklin_Wilkes_Davidson .. autofunction:: Gregory_Scott .. autofunction:: Dix .. autofunction:: Sun_Duffey_Peng .. autofunction:: Xu_Fang_voidage .. autofunction:: Woldesemayat_Ghajar Utilities --------- .. autofunction:: Lockhart_Martinelli_Xtt .. autofunction:: two_phase_voidage_experimental Gas/Liquid Viscosity -------------------- .. autofunction:: Beattie_Whalley .. autofunction:: McAdams .. autofunction:: Cicchitti .. autofunction:: Lin_Kwok .. autofunction:: Fourar_Bories .. autofunction:: Duckler """ from __future__ import division from math import exp, log, pi, sin, cos, radians, sqrt from fluids.constants import g from fluids.core import Froude __all__ = ['Thom', 'Zivi', 'Smith', 'Fauske', 'Chisholm_voidage', 'Turner_Wallis', 'homogeneous', 'Chisholm_Armand', 'Armand', 'Nishino_Yamazaki', 'Guzhov', 'Kawahara', 'Baroczy', 'Tandon_Varma_Gupta', 'Harms', 'Domanski_Didion', 'Graham', 'Yashar', 'Huq_Loth', 'Kopte_Newell_Chato', 'Steiner', 'Rouhani_1', 'Rouhani_2', 'Nicklin_Wilkes_Davidson', 'Gregory_Scott', 'Dix', 'Sun_Duffey_Peng', 'Xu_Fang_voidage', 'Woldesemayat_Ghajar', 'Lockhart_Martinelli_Xtt', 'two_phase_voidage_experimental', 'density_two_phase', 'Beattie_Whalley', 'McAdams', 'Cicchitti', 'Lin_Kwok', 'Fourar_Bories','Duckler', 'liquid_gas_voidage', 'liquid_gas_voidage_methods', 'gas_liquid_viscosity', 'gas_liquid_viscosity_methods', 'two_phase_voidage_correlations', 'liquid_gas_viscosity_correlations'] ### Models based on slip ratio def Thom(x, rhol, rhog, mul, mug): r'''Calculates void fraction in two-phase flow according to the model of [1]_ as given in [2]_. .. math:: \alpha = \left[1 + \left(\frac{1-x}{x}\right)\left(\frac{\rho_g} {\rho_l}\right)^{0.89}\left(\frac{\mu_l}{\mu_g}\right)^{0.18} \right]^{-1} Parameters ---------- x : float Quality at the specific tube interval [] rhol : float Density of the liquid [kg/m^3] rhog : float Density of the gas [kg/m^3] mul : float Viscosity of liquid [Pa*s] mug : float Viscosity of gas [Pa*s] Returns ------- alpha : float Void fraction (area of gas / total area of channel), [-] Notes ----- Based on experimental data for boiling of water. [3]_ presents a slightly different model. However, its results are almost identical. A comparison can be found in the unit tests. Neither expression was found in [1]_ in a brief review. Examples -------- >>> Thom(.4, 800, 2.5, 1E-3, 1E-5) 0.9801482164042417 References ---------- .. [1] Thom, J. R. S. "Prediction of Pressure Drop during Forced Circulation Boiling of Water." International Journal of Heat and Mass Transfer 7, no. 7 (July 1, 1964): 709-24. doi:10.1016/0017-9310(64)90002-X. .. [2] Xu, Yu, and Xiande Fang. "Correlations of Void Fraction for Two- Phase Refrigerant Flow in Pipes." Applied Thermal Engineering 64, no. 1-2 (March 2014): 242–51. doi:10.1016/j.applthermaleng.2013.12.032. .. [3] Dalkilic, A. S., S. Laohalertdecha, and S. Wongwises. "Effect of Void Fraction Models on the Two-Phase Friction Factor of R134a during Condensation in Vertical Downward Flow in a Smooth Tube." International Communications in Heat and Mass Transfer 35, no. 8 (October 2008): 921-27. doi:10.1016/j.icheatmasstransfer.2008.04.001. ''' return (1 + (1-x)/x * (rhog/rhol)**0.89 * (mul/mug)**0.18)**-1 # return x*((mug/mul)**(111/1000)*(rhol/rhog)**(111/200))**1.6/(x*(((mug/mul)**(111/1000)*(rhol/rhog)**(111/200))**1.6 - 1) + 1) def Zivi(x, rhol, rhog): r'''Calculates void fraction in two-phase flow according to the model of [1]_ as given in [2]_ and [3]_. .. math:: \alpha = \left[1 + \left(\frac{1-x}{x}\right) \left(\frac{\rho_g}{\rho_l}\right)^{2/3}\right]^{-1} Parameters ---------- x : float Quality at the specific tube interval [] rhol : float Density of the liquid [kg/m^3] rhog : float Density of the gas [kg/m^3] Returns ------- alpha : float Void fraction (area of gas / total area of channel), [-] Notes ----- Based on experimental data for boiling of water. More complicated variants of this are also in [1]_. Examples -------- >>> Zivi(.4, 800, 2.5) 0.9689339909056356 References ---------- .. [1] Zivi, S. M. "Estimation of Steady-State Steam Void-Fraction by Means of the Principle of Minimum Entropy Production." Journal of Heat Transfer 86, no. 2 (May 1, 1964): 247-51. doi:10.1115/1.3687113. .. [2] Xu, Yu, and Xiande Fang. "Correlations of Void Fraction for Two- Phase Refrigerant Flow in Pipes." Applied Thermal Engineering 64, no. 1-2 (March 2014): 242–51. doi:10.1016/j.applthermaleng.2013.12.032. .. [3] Dalkilic, A. S., S. Laohalertdecha, and S. Wongwises. "Effect of Void Fraction Models on the Two-Phase Friction Factor of R134a during Condensation in Vertical Downward Flow in a Smooth Tube." International Communications in Heat and Mass Transfer 35, no. 8 (October 2008): 921-27. doi:10.1016/j.icheatmasstransfer.2008.04.001. ''' return (1 + (1-x)/x * (rhog/rhol)**(2/3.))**-1 def Smith(x, rhol, rhog): r'''Calculates void fraction in two-phase flow according to the model of [1]_, also given in [2]_ and [3]_. .. math:: \alpha = \left\{1 + \left(\frac{1-x}{x}\right) \left(\frac{\rho_g}{\rho_l}\right)\left[K+(1-K) \sqrt{\frac{\frac{\rho_l}{\rho_g} + K\left(\frac{1-x}{x}\right)} {1 + K\left(\frac{1-x}{x}\right)}}\right] \right\}^{-1} Parameters ---------- x : float Quality at the specific tube interval [] rhol : float Density of the liquid [kg/m^3] rhog : float Density of the gas [kg/m^3] Returns ------- alpha : float Void fraction (area of gas / total area of channel), [-] Notes ----- [1]_ is an easy to read paper and has been reviewed. The form of the expression here is rearranged somewhat differently than in [1]_ but has been verified to be numerically equivalent. The form of this in [3]_ is missing a square root on a bracketed term; this appears in multiple papers by the authors. Examples -------- >>> Smith(.4, 800, 2.5) 0.959981235534199 References ---------- .. [1] Smith, S. L. "Void Fractions in Two-Phase Flow: A Correlation Based upon an Equal Velocity Head Model." Proceedings of the Institution of Mechanical Engineers 184, no. 1 (June 1, 1969): 647-64. doi:10.1243/PIME_PROC_1969_184_051_02. .. [2] Xu, Yu, and Xiande Fang. "Correlations of Void Fraction for Two- Phase Refrigerant Flow in Pipes." Applied Thermal Engineering 64, no. 1-2 (March 2014): 242–51. doi:10.1016/j.applthermaleng.2013.12.032. .. [3] Dalkilic, A. S., S. Laohalertdecha, and S. Wongwises. "Effect of Void Fraction Models on the Two-Phase Friction Factor of R134a during Condensation in Vertical Downward Flow in a Smooth Tube." International Communications in Heat and Mass Transfer 35, no. 8 (October 2008): 921-27. doi:10.1016/j.icheatmasstransfer.2008.04.001. ''' K = 0.4 x_ratio = (1-x)/x root = sqrt((rhol/rhog + K*x_ratio) / (1 + K*x_ratio)) alpha = (1 + (x_ratio) * (rhog/rhol) * (K + (1-K)*root))**-1 return alpha def Fauske(x, rhol, rhog): r'''Calculates void fraction in two-phase flow according to the model of [1]_, as given in [2]_ and [3]_. .. math:: \alpha = \left[1 + \left(\frac{1-x}{x}\right) \left(\frac{\rho_g}{\rho_l}\right)^{0.5}\right]^{-1} Parameters ---------- x : float Quality at the specific tube interval [] rhol : float Density of the liquid [kg/m^3] rhog : float Density of the gas [kg/m^3] Returns ------- alpha : float Void fraction (area of gas / total area of channel), [-] Notes ----- [1]_ has not been reviewed. However, both [2]_ and [3]_ present it the same way. Examples -------- >>> Fauske(.4, 800, 2.5) 0.9226347262627932 References ---------- .. [1] Fauske, H., Critical two-phase, steam-water flows, in: Heat Transfer and Fluid Mechanics Institute 1961: Proceedings. Stanford University Press, 1961, p. 79-89. .. [2] Xu, Yu, and Xiande Fang. "Correlations of Void Fraction for Two- Phase Refrigerant Flow in Pipes." Applied Thermal Engineering 64, no. 1-2 (March 2014): 242–51. doi:10.1016/j.applthermaleng.2013.12.032. .. [3] Dalkilic, A. S., S. Laohalertdecha, and S. Wongwises. "Effect of Void Fraction Models on the Two-Phase Friction Factor of R134a during Condensation in Vertical Downward Flow in a Smooth Tube." International Communications in Heat and Mass Transfer 35, no. 8 (October 2008): 921-27. doi:10.1016/j.icheatmasstransfer.2008.04.001. ''' return (1 + (1-x)/x*sqrt(rhog/rhol))**-1 def Chisholm_voidage(x, rhol, rhog): r'''Calculates void fraction in two-phase flow according to the model of [1]_, as given in [2]_ and [3]_. .. math:: \alpha = \left[1 + \left(\frac{1-x}{x}\right)\left(\frac{\rho_g} {\rho_l}\right)\sqrt{1 - x\left(1-\frac{\rho_l}{\rho_g}\right)} \right]^{-1} Parameters ---------- x : float Quality at the specific tube interval [] rhol : float Density of the liquid [kg/m^3] rhog : float Density of the gas [kg/m^3] Returns ------- alpha : float Void fraction (area of gas / total area of channel), [-] Notes ----- [1]_ has not been reviewed. However, both [2]_ and [3]_ present it the same way. Examples -------- >>> Chisholm_voidage(.4, 800, 2.5) 0.949525900374774 References ---------- .. [1] Chisholm, D. "Pressure Gradients due to Friction during the Flow of Evaporating Two-Phase Mixtures in Smooth Tubes and Channels." International Journal of Heat and Mass Transfer 16, no. 2 (February 1, 1973): 347-58. doi:10.1016/0017-9310(73)90063-X. .. [2] Xu, Yu, and Xiande Fang. "Correlations of Void Fraction for Two- Phase Refrigerant Flow in Pipes." Applied Thermal Engineering 64, no. 1-2 (March 2014): 242–51. doi:10.1016/j.applthermaleng.2013.12.032. .. [3] Dalkilic, A. S., S. Laohalertdecha, and S. Wongwises. "Effect of Void Fraction Models on the Two-Phase Friction Factor of R134a during Condensation in Vertical Downward Flow in a Smooth Tube." International Communications in Heat and Mass Transfer 35, no. 8 (October 2008): 921-27. doi:10.1016/j.icheatmasstransfer.2008.04.001. ''' S = sqrt(1 - x*(1-rhol/rhog)) alpha = (1 + (1-x)/x*rhog/rhol*S)**-1 return alpha def Turner_Wallis(x, rhol, rhog, mul, mug): r'''Calculates void fraction in two-phase flow according to the model of [1]_, as given in [2]_ and [3]_. .. math:: \alpha = \left[1 + \left(\frac{1-x}{x}\right)^{0.72}\left(\frac{\rho_g} {\rho_l}\right)^{0.4}\left(\frac{\mu_l}{\mu_g}\right)^{0.08} \right]^{-1} Parameters ---------- x : float Quality at the specific tube interval [] rhol : float Density of the liquid [kg/m^3] rhog : float Density of the gas [kg/m^3] mul : float Viscosity of liquid [Pa*s] mug : float Viscosity of gas [Pa*s] Returns ------- alpha : float Void fraction (area of gas / total area of channel), [-] Notes ----- [1]_ has not been reviewed. However, both [2]_ and [3]_ present it the same way, if slightly differently rearranged. Examples -------- >>> Turner_Wallis(.4, 800, 2.5, 1E-3, 1E-5) 0.8384824581634625 References ---------- .. [1] J.M. Turner, G.B. Wallis, The Separate-cylinders Model of Two-phase Flow, NYO-3114-6, Thayer's School Eng., Dartmouth College, Hanover, New Hampshire, USA, 1965. .. [2] Xu, Yu, and Xiande Fang. "Correlations of Void Fraction for Two- Phase Refrigerant Flow in Pipes." Applied Thermal Engineering 64, no. 1-2 (March 2014): 242–51. doi:10.1016/j.applthermaleng.2013.12.032. .. [3] Dalkilic, A. S., S. Laohalertdecha, and S. Wongwises. "Effect of Void Fraction Models on the Two-Phase Friction Factor of R134a during Condensation in Vertical Downward Flow in a Smooth Tube." International Communications in Heat and Mass Transfer 35, no. 8 (October 2008): 921-27. doi:10.1016/j.icheatmasstransfer.2008.04.001. ''' return (1 + ((1-x)/x)**0.72 * (rhog/rhol)**0.4 * (mul/mug)**0.08)**-1 ### Models using the Homogeneous flow model def homogeneous(x, rhol, rhog): r'''Calculates void fraction in two-phase flow according to the homogeneous flow model, reviewed in [1]_, [2]_, and [3]_. .. math:: \alpha = \frac{1}{1 + \left(\frac{1-x}{x}\right)\frac{\rho_g}{\rho_l}} Parameters ---------- x : float Quality at the specific tube interval [] rhol : float Density of the liquid [kg/m^3] rhog : float Density of the gas [kg/m^3] Returns ------- alpha : float Void fraction (area of gas / total area of channel), [-] Notes ----- Examples -------- >>> homogeneous(.4, 800, 2.5) 0.995334370139969 References ---------- .. [1] Xu, Yu, and Xiande Fang. "Correlations of Void Fraction for Two- Phase Refrigerant Flow in Pipes." Applied Thermal Engineering 64, no. 1-2 (March 2014): 242–51. doi:10.1016/j.applthermaleng.2013.12.032. .. [2] Dalkilic, A. S., S. Laohalertdecha, and S. Wongwises. "Effect of Void Fraction Models on the Two-Phase Friction Factor of R134a during Condensation in Vertical Downward Flow in a Smooth Tube." International Communications in Heat and Mass Transfer 35, no. 8 (October 2008): 921-27. doi:10.1016/j.icheatmasstransfer.2008.04.001. .. [3] Woldesemayat, Melkamu A., and Afshin J. Ghajar. "Comparison of Void Fraction Correlations for Different Flow Patterns in Horizontal and Upward Inclined Pipes." International Journal of Multiphase Flow 33, no. 4 (April 2007): 347-370. doi:10.1016/j.ijmultiphaseflow.2006.09.004. ''' if x == 1.0: return 1.0 elif x == 0.0: return 0.0 return 1.0/(1.0 + (1.0 - x)/x*(rhog/rhol)) def Chisholm_Armand(x, rhol, rhog): r'''Calculates void fraction in two-phase flow according to the model presented in [1]_ based on that of [2]_ as shown in [3]_, [4]_, and [5]_. .. math:: \alpha = \frac{\alpha_h}{\alpha_h + (1-\alpha_h)^{0.5}} Parameters ---------- x : float Quality at the specific tube interval [] rhol : float Density of the liquid [kg/m^3] rhog : float Density of the gas [kg/m^3] Returns ------- alpha : float Void fraction (area of gas / total area of channel), [-] Notes ----- Examples -------- >>> Chisholm_Armand(.4, 800, 2.5) 0.9357814394262114 References ---------- .. [1] Chisholm, Duncan. Two-Phase Flow in Pipelines and Heat Exchangers. Institution of Chemical Engineers, 1983. .. [2] Armand, Aleksandr Aleksandrovich. The Resistance During the Movement of a Two-Phase System in Horizontal Pipes. Atomic Energy Research Establishment, 1959. .. [3] Xu, Yu, and Xiande Fang. "Correlations of Void Fraction for Two- Phase Refrigerant Flow in Pipes." Applied Thermal Engineering 64, no. 1-2 (March 2014): 242–51. doi:10.1016/j.applthermaleng.2013.12.032. .. [4] Dalkilic, A. S., S. Laohalertdecha, and S. Wongwises. "Effect of Void Fraction Models on the Two-Phase Friction Factor of R134a during Condensation in Vertical Downward Flow in a Smooth Tube." International Communications in Heat and Mass Transfer 35, no. 8 (October 2008): 921-27. doi:10.1016/j.icheatmasstransfer.2008.04.001. .. [5] Woldesemayat, Melkamu A., and Afshin J. Ghajar. "Comparison of Void Fraction Correlations for Different Flow Patterns in Horizontal and Upward Inclined Pipes." International Journal of Multiphase Flow 33, no. 4 (April 2007): 347-370. doi:10.1016/j.ijmultiphaseflow.2006.09.004. ''' alpha_h = homogeneous(x, rhol, rhog) return alpha_h/(alpha_h + sqrt(1-alpha_h)) def Armand(x, rhol, rhog): r'''Calculates void fraction in two-phase flow according to the model presented in [1]_ as shown in [2]_, [3]_, and [4]_. .. math:: \alpha = 0.833\alpha_h Parameters ---------- x : float Quality at the specific tube interval [] rhol : float Density of the liquid [kg/m^3] rhog : float Density of the gas [kg/m^3] Returns ------- alpha : float Void fraction (area of gas / total area of channel), [-] Notes ----- Examples -------- >>> Armand(.4, 800, 2.5) 0.8291135303265941 References ---------- .. [1] Armand, Aleksandr Aleksandrovich. The Resistance During the Movement of a Two-Phase System in Horizontal Pipes. Atomic Energy Research Establishment, 1959. .. [2] Xu, Yu, and Xiande Fang. "Correlations of Void Fraction for Two- Phase Refrigerant Flow in Pipes." Applied Thermal Engineering 64, no. 1-2 (March 2014): 242–51. doi:10.1016/j.applthermaleng.2013.12.032. .. [3] Dalkilic, A. S., S. Laohalertdecha, and S. Wongwises. "Effect of Void Fraction Models on the Two-Phase Friction Factor of R134a during Condensation in Vertical Downward Flow in a Smooth Tube." International Communications in Heat and Mass Transfer 35, no. 8 (October 2008): 921-27. doi:10.1016/j.icheatmasstransfer.2008.04.001. .. [4] Woldesemayat, Melkamu A., and Afshin J. Ghajar. "Comparison of Void Fraction Correlations for Different Flow Patterns in Horizontal and Upward Inclined Pipes." International Journal of Multiphase Flow 33, no. 4 (April 2007): 347-370. doi:10.1016/j.ijmultiphaseflow.2006.09.004. ''' return 0.833*homogeneous(x, rhol, rhog) def Nishino_Yamazaki(x, rhol, rhog): r'''Calculates void fraction in two-phase flow according to the model presented in [1]_ as shown in [2]_. .. math:: \alpha = 1 - \left(\frac{1-x}{x}\frac{\rho_g}{\rho_l}\right)^{0.5} \alpha_h^{0.5} Parameters ---------- x : float Quality at the specific tube interval [] rhol : float Density of the liquid [kg/m^3] rhog : float Density of the gas [kg/m^3] Returns ------- alpha : float Void fraction (area of gas / total area of channel), [-] Notes ----- [1]_ is in Japanese. [3]_ either shows this model as iterative in terms of voidage, or forgot to add a H subscript to its second voidage term; the second is believed more likely. Examples -------- >>> Nishino_Yamazaki(.4, 800, 2.5) 0.931694583962682 References ---------- .. [1] Nishino, Haruo, and Yasaburo Yamazaki. "A New Method of Evaluating Steam Volume Fractions in Boiling Systems." Journal of the Atomic Energy Society of Japan / Atomic Energy Society of Japan 5, no. 1 (1963): 39-46. doi:10.3327/jaesj.5.39. .. [2] Xu, Yu, and Xiande Fang. "Correlations of Void Fraction for Two- Phase Refrigerant Flow in Pipes." Applied Thermal Engineering 64, no. 1-2 (March 2014): 242–51. doi:10.1016/j.applthermaleng.2013.12.032. .. [3] Woldesemayat, Melkamu A., and Afshin J. Ghajar. "Comparison of Void Fraction Correlations for Different Flow Patterns in Horizontal and Upward Inclined Pipes." International Journal of Multiphase Flow 33, no. 4 (April 2007): 347-370. doi:10.1016/j.ijmultiphaseflow.2006.09.004. ''' alpha_h = homogeneous(x, rhol, rhog) return 1 - sqrt((1-x)*rhog/x/rhol)*sqrt(alpha_h) def Guzhov(x, rhol, rhog, m, D): r'''Calculates void fraction in two-phase flow according to the model in [1]_ as shown in [2]_ and [3]_. .. math:: \alpha = 0.81[1 - \exp(-2.2\sqrt{Fr_{tp}})]\alpha_h Fr_{tp} = \frac{G_{tp}^2}{gD\rho_{tp}^2} \rho_{tp} = \left(\frac{1-x}{\rho_l} + \frac{x}{\rho_g}\right)^{-1} Parameters ---------- x : float Quality at the specific tube interval [] rhol : float Density of the liquid [kg/m^3] rhog : float Density of the gas [kg/m^3] m : float Mass flow rate of both phases, [kg/s] D : float Diameter of the channel, [m] Returns ------- alpha : float Void fraction (area of gas / total area of channel), [-] Notes ----- Examples -------- >>> Guzhov(.4, 800, 2.5, 1, .3) 0.7626030108534588 References ---------- .. [1] Guzhov, A. I, VasiliÄ­ Andreevich Mamaev, and G. E Odisharii︠a︡. A Study of Transportation in Gas-Liquid Systems. Une Étude Sur Le Transport Des Systèmes Gaz-Liquides. Bruxelles: International Gas Union, 1967. .. [2] Xu, Yu, and Xiande Fang. "Correlations of Void Fraction for Two- Phase Refrigerant Flow in Pipes." Applied Thermal Engineering 64, no. 1-2 (March 2014): 242–51. doi:10.1016/j.applthermaleng.2013.12.032. 921-27. doi:10.1016/j.icheatmasstransfer.2008.04.001. .. [3] Woldesemayat, Melkamu A., and Afshin J. Ghajar. "Comparison of Void Fraction Correlations for Different Flow Patterns in Horizontal and Upward Inclined Pipes." International Journal of Multiphase Flow 33, no. 4 (April 2007): 347-370. doi:10.1016/j.ijmultiphaseflow.2006.09.004. ''' rho_tp = ((1-x)/rhol + x/rhog)**-1 G = m/(pi/4*D**2) V_tp = G/rho_tp Fr = Froude(V=V_tp, L=D, squared=True) # squaring in undone later; Fr**0.5 alpha_h = homogeneous(x, rhol, rhog) return 0.81*(1 - exp(-2.2*sqrt(Fr)))*alpha_h def Kawahara(x, rhol, rhog, D): r'''Calculates void fraction in two-phase flow according to the model presented in [1]_, also reviewed in [2]_ and [3]_. This expression is for microchannels. .. math:: \alpha = \frac{C_1 \alpha_h^{0.5}}{1 - C_2\alpha_h^{0.5}} Parameters ---------- x : float Quality at the specific tube interval [] rhol : float Density of the liquid [kg/m^3] rhog : float Density of the gas [kg/m^3] D : float Diameter of the channel, [m] Returns ------- alpha : float Void fraction (area of gas / total area of channel), [-] Notes ----- C1 and C2 were constants for different diameters. Only diameters of 100 and 50 mircometers were studied in [1]_. Here, the coefficients are distributed for three ranges, > 250 micrometers, 250-75 micrometers, and < 75 micrometers. The `Armand` model is used for the first, C1 and C2 are 0.03 and 0.97 for the second, and C1 and C2 are 0.02 and 0.98 for the third. Examples -------- >>> Kawahara(.4, 800, 2.5, 100E-6) 0.9276148194410238 References ---------- .. [1] Kawahara, A., M. Sadatomi, K. Okayama, M. Kawaji, and P. M.-Y. Chung. "Effects of Channel Diameter and Liquid Properties on Void Fraction in Adiabatic Two-Phase Flow Through Microchannels." Heat Transfer Engineering 26, no. 3 (February 16, 2005): 13-19. doi:10.1080/01457630590907158. .. [2] Xu, Yu, and Xiande Fang. "Correlations of Void Fraction for Two- Phase Refrigerant Flow in Pipes." Applied Thermal Engineering 64, no. 1-2 (March 2014): 242–51. doi:10.1016/j.applthermaleng.2013.12.032. .. [3] Dalkilic, A. S., S. Laohalertdecha, and S. Wongwises. "Effect of Void Fraction Models on the Two-Phase Friction Factor of R134a during Condensation in Vertical Downward Flow in a Smooth Tube." International Communications in Heat and Mass Transfer 35, no. 8 (October 2008): 921-27. doi:10.1016/j.icheatmasstransfer.2008.04.001. ''' if D > 250E-6: return Armand(x, rhol, rhog) elif D > 75E-6: C1, C2 = 0.03, 0.97 else: C1, C2 = 0.02, 0.98 alpha_h = homogeneous(x, rhol, rhog) return C1*sqrt(alpha_h)/(1. - C2*sqrt(alpha_h)) ### Miscellaneous correlations def Lockhart_Martinelli_Xtt(x, rhol, rhog, mul, mug, pow_x=0.9, pow_rho=0.5, pow_mu=0.1, n=None): r'''Calculates the Lockhart-Martinelli Xtt two-phase flow parameter in a general way according to [2]_. [1]_ is said to describe this. However, very different definitions of this parameter have been used elsewhere. Accordingly, the powers of each of the terms can be set. Alternatively, if the parameter `n` is provided, the powers for viscosity and phase fraction will be calculated from it as shown below. .. math:: X_{tt} = \left(\frac{1-x}{x}\right)^{0.9} \left(\frac{\rho_g}{\rho_l} \right)^{0.5}\left(\frac{\mu_l}{\mu_g}\right)^{0.1} .. math:: X_{tt} = \left(\frac{1-x}{x}\right)^{(2-n)/2} \left(\frac{\rho_g} {\rho_l}\right)^{0.5}\left(\frac{\mu_l}{\mu_g}\right)^{n/2} Parameters ---------- x : float Quality at the specific tube interval [-] rhol : float Density of the liquid [kg/m^3] rhog : float Density of the gas [kg/m^3] mul : float Viscosity of liquid [Pa*s] mug : float Viscosity of gas [Pa*s] pow_x : float, optional Power for the phase ratio (1-x)/x, [-] pow_rho : float, optional Power for the density ratio rhog/rhol, [-] pow_mu : float, optional Power for the viscosity ratio mul/mug, [-] n : float, optional Number to be used for calculating pow_x and pow_mu if provided, [-] Returns ------- Xtt : float Xtt Lockhart-Martinelli two-phase flow parameter [-] Notes ----- Xtt is best regarded as an empirical parameter. If used, n is often 0.2 or 0.25. Examples -------- >>> Lockhart_Martinelli_Xtt(0.4, 800, 2.5, 1E-3, 1E-5) 0.12761659240532292 References ---------- .. [1] Lockhart, R. W. & Martinelli, R. C. (1949), "Proposed correlation of data for isothermal two-phase, two-component flow in pipes", Chemical Engineering Progress 45 (1), 39-48. .. [2] Woldesemayat, Melkamu A., and Afshin J. Ghajar. "Comparison of Void Fraction Correlations for Different Flow Patterns in Horizontal and Upward Inclined Pipes." International Journal of Multiphase Flow 33, no. 4 (April 2007): 347-370. doi:10.1016/j.ijmultiphaseflow.2006.09.004. ''' if n is not None: pow_x = (2-n)/2. pow_mu = n/2. return ((1-x)/x)**pow_x * (rhog/rhol)**pow_rho * (mul/mug)**pow_mu def Baroczy(x, rhol, rhog, mul, mug): r'''Calculates void fraction in two-phase flow according to the model of [1]_ as given in [2]_, [3]_, and [4]_. .. math:: \alpha = \left[1 + \left(\frac{1-x}{x}\right)^{0.74}\left(\frac{\rho_g} {\rho_l}\right)^{0.65}\left(\frac{\mu_l}{\mu_g}\right)^{0.13} \right]^{-1} Parameters ---------- x : float Quality at the specific tube interval [] rhol : float Density of the liquid [kg/m^3] rhog : float Density of the gas [kg/m^3] mul : float Viscosity of liquid [Pa*s] mug : float Viscosity of gas [Pa*s] Returns ------- alpha : float Void fraction (area of gas / total area of channel), [-] Notes ----- Examples -------- >>> Baroczy(.4, 800, 2.5, 1E-3, 1E-5) 0.9453544598460807 References ---------- .. [1] Baroczy, C. Correlation of liquid fraction in two-phase flow with applications to liquid metals, Chem. Eng. Prog. Symp. Ser. 61 (1965) 179-191. .. [2] Xu, Yu, and Xiande Fang. "Correlations of Void Fraction for Two- Phase Refrigerant Flow in Pipes." Applied Thermal Engineering 64, no. 1-2 (March 2014): 242–51. doi:10.1016/j.applthermaleng.2013.12.032. .. [3] Dalkilic, A. S., S. Laohalertdecha, and S. Wongwises. "Effect of Void Fraction Models on the Two-Phase Friction Factor of R134a during Condensation in Vertical Downward Flow in a Smooth Tube." International Communications in Heat and Mass Transfer 35, no. 8 (October 2008): 921-27. doi:10.1016/j.icheatmasstransfer.2008.04.001. .. [4] Woldesemayat, Melkamu A., and Afshin J. Ghajar. "Comparison of Void Fraction Correlations for Different Flow Patterns in Horizontal and Upward Inclined Pipes." International Journal of Multiphase Flow 33, no. 4 (April 2007): 347-370. doi:10.1016/j.ijmultiphaseflow.2006.09.004. ''' Xtt = Lockhart_Martinelli_Xtt(x, rhol, rhog, mul, mug, pow_x=0.74, pow_rho=0.65, pow_mu=0.13) return (1 + Xtt)**-1 def Tandon_Varma_Gupta(x, rhol, rhog, mul, mug, m, D): r'''Calculates void fraction in two-phase flow according to the model of [1]_ also given in [2]_, [3]_, and [4]_. For 50 < Rel < 1125: .. math:: \alpha = 1- 1.928Re_l^{-0.315}[F(X_{tt})]^{-1} + 0.9293Re_l^{-0.63} [F(X_{tt})]^{-2} For Rel > 1125: .. math:: \alpha = 1- 0.38 Re_l^{-0.088}[F(X_{tt})]^{-1} + 0.0361 Re_l^{-0.176} [F(X_{tt})]^{-2} .. math:: F(X_{tt}) = 0.15[X_{tt}^{-1} + 2.85X_{tt}^{-0.476}] Parameters ---------- x : float Quality at the specific tube interval [] rhol : float Density of the liquid [kg/m^3] rhog : float Density of the gas [kg/m^3] mul : float Viscosity of liquid [Pa*s] mug : float Viscosity of gas [Pa*s] m : float Mass flow rate of both phases, [kg/s] D : float Diameter of the channel, [m] Returns ------- alpha : float Void fraction (area of gas / total area of channel), [-] Notes ----- [1]_ does not specify how it defines the liquid Reynolds number. [2]_ disagrees with [3]_ and [4]_; the later variant was selected, with: .. math:: Re_l = \frac{G_{tp}D}{\mu_l} The lower limit on Reynolds number is not enforced. Examples -------- >>> Tandon_Varma_Gupta(.4, 800, 2.5, 1E-3, 1E-5, m=1, D=0.3) 0.9228265670341428 References ---------- .. [1] Tandon, T. N., H. K. Varma, and C. P. Gupta. "A Void Fraction Model for Annular Two-Phase Flow." International Journal of Heat and Mass Transfer 28, no. 1 (January 1, 1985): 191-198. doi:10.1016/0017-9310(85)90021-3. .. [2] Xu, Yu, and Xiande Fang. "Correlations of Void Fraction for Two- Phase Refrigerant Flow in Pipes." Applied Thermal Engineering 64, no. 1-2 (March 2014): 242–51. doi:10.1016/j.applthermaleng.2013.12.032. .. [3] Dalkilic, A. S., S. Laohalertdecha, and S. Wongwises. "Effect of Void Fraction Models on the Two-Phase Friction Factor of R134a during Condensation in Vertical Downward Flow in a Smooth Tube." International Communications in Heat and Mass Transfer 35, no. 8 (October 2008): 921-27. doi:10.1016/j.icheatmasstransfer.2008.04.001. .. [4] Woldesemayat, Melkamu A., and Afshin J. Ghajar. "Comparison of Void Fraction Correlations for Different Flow Patterns in Horizontal and Upward Inclined Pipes." International Journal of Multiphase Flow 33, no. 4 (April 2007): 347-370. doi:10.1016/j.ijmultiphaseflow.2006.09.004. ''' G = m/(pi/4*D**2) Rel = G*D/mul Xtt = Lockhart_Martinelli_Xtt(x, rhol, rhog, mul, mug) Fxtt = 0.15*(Xtt**-1 + 2.85*Xtt**-0.476) if Rel < 1125: alpha = 1 - 1.928*Rel**-0.315/Fxtt + 0.9293*Rel**-0.63/Fxtt**2 else: alpha = 1 - 0.38*Rel**-0.088/Fxtt + 0.0361*Rel**-0.176/Fxtt**2 return alpha def Harms(x, rhol, rhog, mul, mug, m, D): r'''Calculates void fraction in two-phase flow according to the model of [1]_ also given in [2]_ and [3]_. .. math:: \alpha = \left[1 - 10.06Re_l^{-0.875}(1.74 + 0.104Re_l^{0.5})^2 \left(1.376 + \frac{7.242}{X_{tt}^{1.655}}\right)^{-0.5}\right]^2 .. math:: Re_l = \frac{G_{tp}(1-x)D}{\mu_l} Parameters ---------- x : float Quality at the specific tube interval [] rhol : float Density of the liquid [kg/m^3] rhog : float Density of the gas [kg/m^3] mul : float Viscosity of liquid [Pa*s] mug : float Viscosity of gas [Pa*s] m : float Mass flow rate of both phases, [kg/s] D : float Diameter of the channel, [m] Returns ------- alpha : float Void fraction (area of gas / total area of channel), [-] Notes ----- [1]_ has been reviewed. Examples -------- >>> Harms(.4, 800, 2.5, 1E-3, 1E-5, m=1, D=0.3) 0.9653289762907554 References ---------- .. [1] Tandon, T. N., H. K. Varma, and C. P. Gupta. "A Void Fraction Model for Annular Two-Phase Flow." International Journal of Heat and Mass Transfer 28, no. 1 (January 1, 1985): 191-198. doi:10.1016/0017-9310(85)90021-3. .. [2] Xu, Yu, and Xiande Fang. "Correlations of Void Fraction for Two- Phase Refrigerant Flow in Pipes." Applied Thermal Engineering 64, no. 1-2 (March 2014): 242–51. doi:10.1016/j.applthermaleng.2013.12.032. .. [3] Dalkilic, A. S., S. Laohalertdecha, and S. Wongwises. "Effect of Void Fraction Models on the Two-Phase Friction Factor of R134a during Condensation in Vertical Downward Flow in a Smooth Tube." International Communications in Heat and Mass Transfer 35, no. 8 (October 2008): 921-27. doi:10.1016/j.icheatmasstransfer.2008.04.001. ''' G = m/(pi/4*D**2) Rel = G*D*(1-x)/mul Xtt = Lockhart_Martinelli_Xtt(x, rhol, rhog, mul, mug) return (1 - 10.06*Rel**-0.875*(1.74 + 0.104*sqrt(Rel))**2 *1.0/sqrt(1.376 + 7.242/Xtt**1.655)) def Domanski_Didion(x, rhol, rhog, mul, mug): r'''Calculates void fraction in two-phase flow according to the model of [1]_ also given in [2]_ and [3]_. if Xtt < 10: .. math:: \alpha = (1 + X_{tt}^{0.8})^{-0.378} Otherwise: .. math:: \alpha = 0.823- 0.157\ln(X_{tt}) Parameters ---------- x : float Quality at the specific tube interval [] rhol : float Density of the liquid [kg/m^3] rhog : float Density of the gas [kg/m^3] mul : float Viscosity of liquid [Pa*s] mug : float Viscosity of gas [Pa*s] Returns ------- alpha : float Void fraction (area of gas / total area of channel), [-] Notes ----- [1]_ has been reviewed. [2]_ gives an exponent of -0.38 instead of -0.378 as is in [1]_. [3]_ describes only the novel half of the correlation. The portion for Xtt > 10 is novel; the other is said to be from their 31st reference, Wallis. There is a discontinuity at Xtt = 10. Examples -------- >>> Domanski_Didion(.4, 800, 2.5, 1E-3, 1E-5) 0.9355795597059169 References ---------- .. [1] Domanski, Piotr, and David A. Didion. "Computer Modeling of the Vapor Compression Cycle with Constant Flow Area Expansion Device." Report. UNT Digital Library, May 1983. .. [2] Xu, Yu, and Xiande Fang. "Correlations of Void Fraction for Two- Phase Refrigerant Flow in Pipes." Applied Thermal Engineering 64, no. 1-2 (March 2014): 242–51. doi:10.1016/j.applthermaleng.2013.12.032. .. [3] Dalkilic, A. S., S. Laohalertdecha, and S. Wongwises. "Effect of Void Fraction Models on the Two-Phase Friction Factor of R134a during Condensation in Vertical Downward Flow in a Smooth Tube." International Communications in Heat and Mass Transfer 35, no. 8 (October 2008): 921-27. doi:10.1016/j.icheatmasstransfer.2008.04.001. ''' Xtt = Lockhart_Martinelli_Xtt(x, rhol, rhog, mul, mug) if Xtt < 10: return (1 + Xtt**0.8)**-0.378 else: return 0.823 - 0.157*log(Xtt) def Graham(x, rhol, rhog, mul, mug, m, D, g=g): r'''Calculates void fraction in two-phase flow according to the model of [1]_ also given in [2]_ and [3]_. .. math:: \alpha = 1 - \exp\{-1 - 0.3\ln(Ft) - 0.0328[\ln(Ft)]^2\} .. math:: Ft = \left[\frac{G_{tp}^2 x^3}{(1-x)\rho_g^2gD}\right]^{0.5} .. math:: \alpha = 0 \text{ for } F_t \le 0.01032 Parameters ---------- x : float Quality at the specific tube interval [] rhol : float Density of the liquid [kg/m^3] rhog : float Density of the gas [kg/m^3] mul : float Viscosity of liquid [Pa*s] mug : float Viscosity of gas [Pa*s] m : float Mass flow rate of both phases, [kg/s] D : float Diameter of the channel, [m] g : float, optional Acceleration due to gravity, [m/s^2] Returns ------- alpha : float Void fraction (area of gas / total area of channel), [-] Notes ----- [1]_ has been reviewed. [2]_ does not list that the expression is not real below a certain value of Ft. Examples -------- >>> Graham(.4, 800, 2.5, 1E-3, 1E-5, m=1, D=0.3) 0.6403336287530644 References ---------- .. [1] Graham, D. M. "Experimental Investigation of Void Fraction During Refrigerant Condensation." ACRC Technical Report 135. Air Conditioning and Refrigeration Center. College of Engineering. University of Illinois at Urbana-Champaign., December 1997. .. [2] Xu, Yu, and Xiande Fang. "Correlations of Void Fraction for Two- Phase Refrigerant Flow in Pipes." Applied Thermal Engineering 64, no. 1-2 (March 2014): 242–51. doi:10.1016/j.applthermaleng.2013.12.032. .. [3] Dalkilic, A. S., S. Laohalertdecha, and S. Wongwises. "Effect of Void Fraction Models on the Two-Phase Friction Factor of R134a during Condensation in Vertical Downward Flow in a Smooth Tube." International Communications in Heat and Mass Transfer 35, no. 8 (October 2008): 921-27. doi:10.1016/j.icheatmasstransfer.2008.04.001. ''' G = m/(pi/4*D**2) Ft = sqrt(G**2*x**3/((1-x)*rhog**2*g*D)) if Ft < 0.01032: return 0 else: return 1 - exp(-1 - 0.3*log(Ft) - 0.0328*log(Ft)**2) def Yashar(x, rhol, rhog, mul, mug, m, D, g=g): r'''Calculates void fraction in two-phase flow according to the model of [1]_ also given in [2]_ and [3]_. .. math:: \alpha = \left[1 + \frac{1}{Ft} + X_{tt}\right]^{-0.321} .. math:: Ft = \left[\frac{G_{tp}^2 x^3}{(1-x)\rho_g^2gD}\right]^{0.5} Parameters ---------- x : float Quality at the specific tube interval [] rhol : float Density of the liquid [kg/m^3] rhog : float Density of the gas [kg/m^3] mul : float Viscosity of liquid [Pa*s] mug : float Viscosity of gas [Pa*s] m : float Mass flow rate of both phases, [kg/s] D : float Diameter of the channel, [m] g : float, optional Acceleration due to gravity, [m/s^2] Returns ------- alpha : float Void fraction (area of gas / total area of channel), [-] Notes ----- [1]_ has been reviewed; both [2]_ and [3]_ give it correctly. Examples -------- >>> Yashar(.4, 800, 2.5, 1E-3, 1E-5, m=1, D=0.3) 0.7934893185789146 References ---------- .. [1] Yashar, D. A., M. J. Wilson, H. R. Kopke, D. M. Graham, J. C. Chato, and T. A. Newell. "An Investigation of Refrigerant Void Fraction in Horizontal, Microfin Tubes." HVAC&R Research 7, no. 1 (January 1, 2001): 67-82. doi:10.1080/10789669.2001.10391430. .. [2] Xu, Yu, and Xiande Fang. "Correlations of Void Fraction for Two- Phase Refrigerant Flow in Pipes." Applied Thermal Engineering 64, no. 1-2 (March 2014): 242–51. doi:10.1016/j.applthermaleng.2013.12.032. .. [3] Dalkilic, A. S., S. Laohalertdecha, and S. Wongwises. "Effect of Void Fraction Models on the Two-Phase Friction Factor of R134a during Condensation in Vertical Downward Flow in a Smooth Tube." International Communications in Heat and Mass Transfer 35, no. 8 (October 2008): 921-27. doi:10.1016/j.icheatmasstransfer.2008.04.001. ''' G = m/(pi/4*D**2) Ft = sqrt(G**2*x**3/((1-x)*rhog**2*g*D)) Xtt = Lockhart_Martinelli_Xtt(x, rhol, rhog, mul, mug) return (1 + 1./Ft + Xtt)**-0.321 def Huq_Loth(x, rhol, rhog): r'''Calculates void fraction in two-phase flow according to the model of [1]_, also given in [2]_, [3]_, and [4]_. .. math:: \alpha = 1 - \frac{2(1-x)^2}{1 - 2x + \left[1 + 4x(1-x)\left(\frac {\rho_l}{\rho_g}-1\right)\right]^{0.5}} Parameters ---------- x : float Quality at the specific tube interval [] rhol : float Density of the liquid [kg/m^3] rhog : float Density of the gas [kg/m^3] Returns ------- alpha : float Void fraction (area of gas / total area of channel), [-] Notes ----- [1]_ has been reviewed, and matches the expressions given in the reviews [2]_, [3]_, and [4]_; the form of the expression is rearranged somewhat differently. Examples -------- >>> Huq_Loth(.4, 800, 2.5) 0.9593868838476147 References ---------- .. [1] Huq, Reazul, and John L. Loth. "Analytical Two-Phase Flow Void Prediction Method." Journal of Thermophysics and Heat Transfer 6, no. 1 (January 1, 1992): 139-44. doi:10.2514/3.329. .. [2] Xu, Yu, and Xiande Fang. "Correlations of Void Fraction for Two- Phase Refrigerant Flow in Pipes." Applied Thermal Engineering 64, no. 1-2 (March 2014): 242–51. doi:10.1016/j.applthermaleng.2013.12.032. .. [3] Dalkilic, A. S., S. Laohalertdecha, and S. Wongwises. "Effect of Void Fraction Models on the Two-Phase Friction Factor of R134a during Condensation in Vertical Downward Flow in a Smooth Tube." International Communications in Heat and Mass Transfer 35, no. 8 (October 2008): 921-27. doi:10.1016/j.icheatmasstransfer.2008.04.001. .. [4] Woldesemayat, Melkamu A., and Afshin J. Ghajar. "Comparison of Void Fraction Correlations for Different Flow Patterns in Horizontal and Upward Inclined Pipes." International Journal of Multiphase Flow 33, no. 4 (April 2007): 347-370. doi:10.1016/j.ijmultiphaseflow.2006.09.004. ''' B = 2*x*(1-x) D = sqrt(1 + 2*B*(rhol/rhog -1)) return 1 - 2*(1-x)**2/(1 - 2*x + D) def Kopte_Newell_Chato(x, rhol, rhog, mul, mug, m, D, g=g): r'''Calculates void fraction in two-phase flow according to the model of [1]_ also given in [2]_. .. math:: \alpha = 1.045 - \exp\{-1 - 0.342\ln(Ft) - 0.0268[\ln(Ft)]^2 + 0.00597[\ln(Ft)]^3\} .. math:: Ft = \left[\frac{G_{tp}^2 x^3}{(1-x)\rho_g^2gD}\right]^{0.5} .. math:: \alpha = \alpha_h \text{ for } F_t \le 0.044 Parameters ---------- x : float Quality at the specific tube interval [] rhol : float Density of the liquid [kg/m^3] rhog : float Density of the gas [kg/m^3] mul : float Viscosity of liquid [Pa*s] mug : float Viscosity of gas [Pa*s] m : float Mass flow rate of both phases, [kg/s] D : float Diameter of the channel, [m] g : float, optional Acceleration due to gravity, [m/s^2] Returns ------- alpha : float Void fraction (area of gas / total area of channel), [-] Notes ----- [1]_ has been reviewed. If is recommended this expression not be used above Ft values of 454. Examples -------- >>> Kopte_Newell_Chato(.4, 800, 2.5, 1E-3, 1E-5, m=1, D=0.3) 0.6864466770087425 References ---------- .. [1] Kopke, H. R. "Experimental Investigation of Void Fraction During Refrigerant Condensation in Horizontal Tubes." ACRC Technical Report 142. Air Conditioning and Refrigeration Center. College of Engineering. University of Illinois at Urbana-Champaign., August 1998. .. [2] Xu, Yu, and Xiande Fang. "Correlations of Void Fraction for Two- Phase Refrigerant Flow in Pipes." Applied Thermal Engineering 64, no. 1-2 (March 2014): 242–51. doi:10.1016/j.applthermaleng.2013.12.032. ''' G = m/(pi/4*D**2) Ft = sqrt(G**2*x**3/((1-x)*rhog**2*g*D)) if Ft < 0.044: return homogeneous(x, rhol, rhog) else: return 1.045 - exp(-1 - 0.342*log(Ft) - 0.0268*log(Ft)**2 + 0.00597*log(Ft)**3) ### Drift flux models def Steiner(x, rhol, rhog, sigma, m, D, g=g): r'''Calculates void fraction in two-phase flow according to the model of [1]_ also given in [2]_ and [3]_. .. math:: \alpha = \frac{x}{\rho_g}\left[C_0\left(\frac{x}{\rho_g} + \frac{1-x} {\rho_l}\right) +\frac{v_{gm}}{G} \right]^{-1} .. math:: v_{gm} = \frac{1.18(1-x)}{\rho_l^{0.5}}[g\sigma(\rho_l-\rho_g)]^{0.25} .. math:: C_0 = 1 + 0.12(1-x) Parameters ---------- x : float Quality at the specific tube interval [] rhol : float Density of the liquid [kg/m^3] rhog : float Density of the gas [kg/m^3] sigma : float Surface tension of liquid [N/m] m : float Mass flow rate of both phases, [kg/s] D : float Diameter of the channel, [m] g : float, optional Acceleration due to gravity, [m/s^2] Returns ------- alpha : float Void fraction (area of gas / total area of channel), [-] Notes ----- [1]_ has been reviewed. Examples -------- >>> Steiner(0.4, 800., 2.5, sigma=0.02, m=1, D=0.3) 0.895950181381335 References ---------- .. [1] Gesellschaft, V. D. I., ed. VDI Heat Atlas. 2nd edition. Berlin; New York:: Springer, 2010. .. [2] Xu, Yu, and Xiande Fang. "Correlations of Void Fraction for Two- Phase Refrigerant Flow in Pipes." Applied Thermal Engineering 64, no. 1-2 (March 2014): 242–51. doi:10.1016/j.applthermaleng.2013.12.032. .. [3] Dalkilic, A. S., S. Laohalertdecha, and S. Wongwises. "Effect of Void Fraction Models on the Two-Phase Friction Factor of R134a during Condensation in Vertical Downward Flow in a Smooth Tube." International Communications in Heat and Mass Transfer 35, no. 8 (October 2008): 921-27. doi:10.1016/j.icheatmasstransfer.2008.04.001. ''' G = m/(pi/4*D**2) C0 = 1 + 0.12*(1-x) vgm = 1.18*(1-x)/sqrt(rhol)*sqrt(sqrt(g*sigma*(rhol-rhog))) return x/rhog*(C0*(x/rhog + (1-x)/rhol) + vgm/G)**-1 def Rouhani_1(x, rhol, rhog, sigma, m, D, g=g): r'''Calculates void fraction in two-phase flow according to the model of [1]_ as given in [2]_ and [3]_. .. math:: \alpha = \frac{x}{\rho_g}\left[C_0\left(\frac{x}{\rho_g} + \frac{1-x} {\rho_l}\right) +\frac{v_{gm}}{G} \right]^{-1} .. math:: v_{gm} = \frac{1.18(1-x)}{\rho_l^{0.5}}[g\sigma(\rho_l-\rho_g)]^{0.25} .. math:: C_0 = 1 + 0.2(1-x) Parameters ---------- x : float Quality at the specific tube interval [] rhol : float Density of the liquid [kg/m^3] rhog : float Density of the gas [kg/m^3] sigma : float Surface tension of liquid [N/m] m : float Mass flow rate of both phases, [kg/s] D : float Diameter of the channel, [m] g : float, optional Acceleration due to gravity, [m/s^2] Returns ------- alpha : float Void fraction (area of gas / total area of channel), [-] Notes ----- The expression as quoted in [2]_ and [3]_ could not be found in [1]_. Examples -------- >>> Rouhani_1(0.4, 800., 2.5, sigma=0.02, m=1, D=0.3) 0.8588420244136714 References ---------- .. [1] Rouhani, S. Z, and E Axelsson. "Calculation of Void Volume Fraction in the Subcooled and Quality Boiling Regions." International Journal of Heat and Mass Transfer 13, no. 2 (February 1, 1970): 383-93. doi:10.1016/0017-9310(70)90114-6. .. [2] Xu, Yu, and Xiande Fang. "Correlations of Void Fraction for Two- Phase Refrigerant Flow in Pipes." Applied Thermal Engineering 64, no. 1-2 (March 2014): 242–51. doi:10.1016/j.applthermaleng.2013.12.032. .. [3] Woldesemayat, Melkamu A., and Afshin J. Ghajar. "Comparison of Void Fraction Correlations for Different Flow Patterns in Horizontal and Upward Inclined Pipes." International Journal of Multiphase Flow 33, no. 4 (April 2007): 347-370. doi:10.1016/j.ijmultiphaseflow.2006.09.004. ''' G = m/(pi/4*D**2) C0 = 1 + 0.2*(1-x) vgm = 1.18*(1-x)/sqrt(rhol)*sqrt(sqrt(g*sigma*(rhol-rhog))) return x/rhog*(C0*(x/rhog + (1-x)/rhol) + vgm/G)**-1 def Rouhani_2(x, rhol, rhog, sigma, m, D, g=g): r'''Calculates void fraction in two-phase flow according to the model of [1]_ as given in [2]_ and [3]_. .. math:: \alpha = \frac{x}{\rho_g}\left[C_0\left(\frac{x}{\rho_g} + \frac{1-x} {\rho_l}\right) +\frac{v_{gm}}{G} \right]^{-1} .. math:: v_{gm} = \frac{1.18(1-x)}{\rho_l^{0.5}}[g\sigma(\rho_l-\rho_g)]^{0.25} .. math:: C_0 = 1 + 0.2(1-x)(gD)^{0.25}\left(\frac{\rho_l}{G_{tp}}\right)^{0.5} Parameters ---------- x : float Quality at the specific tube interval [] rhol : float Density of the liquid [kg/m^3] rhog : float Density of the gas [kg/m^3] sigma : float Surface tension of liquid [N/m] m : float Mass flow rate of both phases, [kg/s] D : float Diameter of the channel, [m] g : float, optional Acceleration due to gravity, [m/s^2] Returns ------- alpha : float Void fraction (area of gas / total area of channel), [-] Notes ----- The expression as quoted in [2]_ and [3]_ could not be found in [1]_. Examples -------- >>> Rouhani_2(0.4, 800., 2.5, sigma=0.02, m=1, D=0.3) 0.44819733138968865 References ---------- .. [1] Rouhani, S. Z, and E Axelsson. "Calculation of Void Volume Fraction in the Subcooled and Quality Boiling Regions." International Journal of Heat and Mass Transfer 13, no. 2 (February 1, 1970): 383-93. doi:10.1016/0017-9310(70)90114-6. .. [2] Xu, Yu, and Xiande Fang. "Correlations of Void Fraction for Two- Phase Refrigerant Flow in Pipes." Applied Thermal Engineering 64, no. 1-2 (March 2014): 242–51. doi:10.1016/j.applthermaleng.2013.12.032. .. [3] Woldesemayat, Melkamu A., and Afshin J. Ghajar. "Comparison of Void Fraction Correlations for Different Flow Patterns in Horizontal and Upward Inclined Pipes." International Journal of Multiphase Flow 33, no. 4 (April 2007): 347-370. doi:10.1016/j.ijmultiphaseflow.2006.09.004. ''' G = m/(pi/4*D**2) C0 = 1 + 0.2*(1-x)*sqrt(sqrt(g*D))*sqrt(rhol/G) vgm = 1.18*(1-x)/sqrt(rhol)*sqrt(sqrt(g*sigma*(rhol-rhog))) return x/rhog*(C0*(x/rhog + (1-x)/rhol) + vgm/G)**-1 def Nicklin_Wilkes_Davidson(x, rhol, rhog, m, D, g=g): r'''Calculates void fraction in two-phase flow according to the model of [1]_ as given in [2]_ and [3]_. .. math:: \alpha = \frac{x}{\rho_g}\left[C_0\left(\frac{x}{\rho_g} + \frac{1-x} {\rho_l}\right) +\frac{v_{gm}}{G} \right]^{-1} .. math:: v_{gm} = 0.35\sqrt{gD} .. math:: C_0 = 1.2 Parameters ---------- x : float Quality at the specific tube interval [] rhol : float Density of the liquid [kg/m^3] rhog : float Density of the gas [kg/m^3] m : float Mass flow rate of both phases, [kg/s] D : float Diameter of the channel, [m] g : float, optional Acceleration due to gravity, [m/s^2] Returns ------- alpha : float Void fraction (area of gas / total area of channel), [-] Notes ----- Examples -------- >>> Nicklin_Wilkes_Davidson(0.4, 800., 2.5, m=1, D=0.3) 0.6798826626721431 References ---------- .. [1] D. Nicklin, J. Wilkes, J. Davidson, "Two-phase flow in vertical tubes", Trans. Inst. Chem. Eng. 40 (1962) 61-68. .. [2] Xu, Yu, and Xiande Fang. "Correlations of Void Fraction for Two- Phase Refrigerant Flow in Pipes." Applied Thermal Engineering 64, no. 1-2 (March 2014): 242–51. doi:10.1016/j.applthermaleng.2013.12.032. .. [3] Woldesemayat, Melkamu A., and Afshin J. Ghajar. "Comparison of Void Fraction Correlations for Different Flow Patterns in Horizontal and Upward Inclined Pipes." International Journal of Multiphase Flow 33, no. 4 (April 2007): 347-370. doi:10.1016/j.ijmultiphaseflow.2006.09.004. ''' G = m/(pi/4*D**2) C0 = 1.2 vgm = 0.35*sqrt(g*D) return x/rhog*(C0*(x/rhog + (1-x)/rhol) + vgm/G)**-1 def Gregory_Scott(x, rhol, rhog): r'''Calculates void fraction in two-phase flow according to the model of [1]_ as given in [2]_ and [3]_. .. math:: \alpha = \frac{x}{\rho_g}\left[C_0\left(\frac{x}{\rho_g} + \frac{1-x} {\rho_l}\right) +\frac{v_{gm}}{G} \right]^{-1} .. math:: v_{gm} = 0 .. math:: C_0 = 1.19 Parameters ---------- x : float Quality at the specific tube interval [] rhol : float Density of the liquid [kg/m^3] rhog : float Density of the gas [kg/m^3] Returns ------- alpha : float Void fraction (area of gas / total area of channel), [-] Notes ----- Examples -------- >>> Gregory_Scott(0.4, 800., 2.5) 0.8364154370924108 References ---------- .. [1] Gregory, G. A., and D. S. Scott. "Correlation of Liquid Slug Velocity and Frequency in Horizontal Cocurrent Gas-Liquid Slug Flow." AIChE Journal 15, no. 6 (November 1, 1969): 933-35. doi:10.1002/aic.690150623. .. [2] Xu, Yu, and Xiande Fang. "Correlations of Void Fraction for Two- Phase Refrigerant Flow in Pipes." Applied Thermal Engineering 64, no. 1-2 (March 2014): 242–51. doi:10.1016/j.applthermaleng.2013.12.032. .. [3] Woldesemayat, Melkamu A., and Afshin J. Ghajar. "Comparison of Void Fraction Correlations for Different Flow Patterns in Horizontal and Upward Inclined Pipes." International Journal of Multiphase Flow 33, no. 4 (April 2007): 347-370. doi:10.1016/j.ijmultiphaseflow.2006.09.004. ''' C0 = 1.19 return x/rhog*(C0*(x/rhog + (1-x)/rhol))**-1 def Dix(x, rhol, rhog, sigma, m, D, g=g): r'''Calculates void fraction in two-phase flow according to the model of [1]_ as given in [2]_ and [3]_. .. math:: \alpha = \frac{x}{\rho_g}\left[C_0\left(\frac{x}{\rho_g} + \frac{1-x} {\rho_l}\right) +\frac{v_{gm}}{G} \right]^{-1} .. math:: v_{gm} = 2.9\left(g\sigma\frac{\rho_l-\rho_g}{\rho_l^2}\right)^{0.25} .. math:: C_0 = \frac{v_{sg}}{v_m}\left[1 + \left(\frac{v_{sl}}{v_{sg}}\right) ^{\left(\left(\frac{\rho_g}{\rho_l}\right)^{0.1}\right)}\right] .. math:: v_{gs} = \frac{mx}{\rho_g \frac{\pi}{4}D^2} .. math:: v_{ls} = \frac{m(1-x)}{\rho_l \frac{\pi}{4}D^2} .. math:: v_m = v_{gs} + v_{ls} Parameters ---------- x : float Quality at the specific tube interval [] rhol : float Density of the liquid [kg/m^3] rhog : float Density of the gas [kg/m^3] sigma : float Surface tension of liquid [N/m] m : float Mass flow rate of both phases, [kg/s] D : float Diameter of the channel, [m] g : float, optional Acceleration due to gravity, [m/s^2] Returns ------- alpha : float Void fraction (area of gas / total area of channel), [-] Notes ----- Has formed the basis for several other correlations. Examples -------- >>> Dix(0.4, 800., 2.5, sigma=0.02, m=1, D=0.3) 0.8268737961156514 References ---------- .. [1] Gary Errol. Dix. "Vapor Void Fractions for Forced Convection with Subcooled Boiling at Low Flow Rates." Thesis. University of California, Berkeley, 1971. .. [2] Xu, Yu, and Xiande Fang. "Correlations of Void Fraction for Two- Phase Refrigerant Flow in Pipes." Applied Thermal Engineering 64, no. 1-2 (March 2014): 242–51. doi:10.1016/j.applthermaleng.2013.12.032. .. [3] Woldesemayat, Melkamu A., and Afshin J. Ghajar. "Comparison of Void Fraction Correlations for Different Flow Patterns in Horizontal and Upward Inclined Pipes." International Journal of Multiphase Flow 33, no. 4 (April 2007): 347-370. doi:10.1016/j.ijmultiphaseflow.2006.09.004. ''' vgs = m*x/(rhog*pi/4*D**2) vls = m*(1-x)/(rhol*pi/4*D**2) G = m/(pi/4*D**2) C0 = vgs/(vls+vgs)*(1 + (vls/vgs)**((rhog/rhol)**0.1)) vgm = 2.9*sqrt(sqrt(g*sigma*(rhol-rhog)/rhol**2)) return x/rhog*(C0*(x/rhog + (1-x)/rhol) + vgm/G)**-1 def Sun_Duffey_Peng(x, rhol, rhog, sigma, m, D, P, Pc, g=g): r'''Calculates void fraction in two-phase flow according to the model of [1]_ as given in [2]_ and [3]_. .. math:: \alpha = \frac{x}{\rho_g}\left[C_0\left(\frac{x}{\rho_g} + \frac{1-x} {\rho_l}\right) +\frac{v_{gm}}{G} \right]^{-1} .. math:: v_{gm} = 1.41\left[\frac{g\sigma(\rho_l-\rho_g)}{\rho_l^2}\right]^{0.25} .. math:: C_0 = \left(0.82 + 0.18\frac{P}{P_c}\right)^{-1} Parameters ---------- x : float Quality at the specific tube interval [] rhol : float Density of the liquid [kg/m^3] rhog : float Density of the gas [kg/m^3] sigma : float Surface tension of liquid [N/m] m : float Mass flow rate of both phases, [kg/s] D : float Diameter of the channel, [m] P : float Pressure of the fluid, [Pa] Pc : float Critical pressure of the fluid, [Pa] g : float, optional Acceleration due to gravity, [m/s^2] Returns ------- alpha : float Void fraction (area of gas / total area of channel), [-] Notes ----- Examples -------- >>> Sun_Duffey_Peng(0.4, 800., 2.5, sigma=0.02, m=1, D=0.3, P=1E5, Pc=7E6) 0.7696546506515833 References ---------- .. [1] K.H. Sun, R.B. Duffey, C.M. Peng, A thermal-hydraulic analysis of core uncover, in: Proceedings of the 19th National Heat Transfer Conference, Experimental and Analytical Modeling of LWR Safety Experiments, 1980, pp. 1-10. Orlando, Florida, USA. .. [2] Xu, Yu, and Xiande Fang. "Correlations of Void Fraction for Two- Phase Refrigerant Flow in Pipes." Applied Thermal Engineering 64, no. 1-2 (March 2014): 242–51. doi:10.1016/j.applthermaleng.2013.12.032. .. [3] Woldesemayat, Melkamu A., and Afshin J. Ghajar. "Comparison of Void Fraction Correlations for Different Flow Patterns in Horizontal and Upward Inclined Pipes." International Journal of Multiphase Flow 33, no. 4 (April 2007): 347-370. doi:10.1016/j.ijmultiphaseflow.2006.09.004. ''' G = m/(pi/4*D**2) Pr = P/Pc if Pc is not None else 0.5 C0 = (0.82 + 0.18*Pr)**-1 vgm = 1.41*sqrt(sqrt(g*sigma*(rhol-rhog)/rhol**2)) return x/rhog*(C0*(x/rhog + (1-x)/rhol) + vgm/G)**-1 # Correlations developed in reviews def Xu_Fang_voidage(x, rhol, rhog, m, D, g=g): r'''Calculates void fraction in two-phase flow according to the model developed in the review of [1]_. .. math:: \alpha = \left[1 + \left(1 + 2Fr_{lo}^{-0.2}\alpha_h^{3.5}\right)\left( \frac{1-x}{x}\right)\left(\frac{\rho_g}{\rho_l}\right)\right]^{-1} Parameters ---------- x : float Quality at the specific tube interval [] rhol : float Density of the liquid [kg/m^3] rhog : float Density of the gas [kg/m^3] m : float Mass flow rate of both phases, [kg/s] D : float Diameter of the channel, [m] g : float, optional Acceleration due to gravity, [m/s^2] Returns ------- alpha : float Void fraction (area of gas / total area of channel), [-] Notes ----- Claims an AARD of 5.0%, and suitability for any flow regime, mini and micro channels, adiabatic, evaporating, or condensing flow, and for Frlo from 0.02 to 145, rhog/rhol from 0.004-0.153, and x from 0 to 1. Examples -------- >>> Xu_Fang_voidage(0.4, 800., 2.5, m=1, D=0.3) 0.9414660089942093 References ---------- .. [1] Xu, Yu, and Xiande Fang. "Correlations of Void Fraction for Two- Phase Refrigerant Flow in Pipes." Applied Thermal Engineering 64, no. 1-2 (March 2014): 242–51. doi:10.1016/j.applthermaleng.2013.12.032. ''' G = m/(pi/4*D**2) alpha_h = homogeneous(x, rhol, rhog) Frlo = G**2/(g*D*rhol**2) return (1 + (1 + 2*Frlo**-0.2*alpha_h**3.5)*((1-x)/x)*(rhog/rhol))**-1 def Woldesemayat_Ghajar(x, rhol, rhog, sigma, m, D, P, angle=0, g=g): r'''Calculates void fraction in two-phase flow according to the model of [1]_. .. math:: \alpha = \frac{v_{gs}}{v_{gs}\left(1 + \left(\frac{v_{ls}}{v_{gs}} \right)^{\left(\frac{\rho_g}{\rho_l}\right)^{0.1}}\right) + 2.9\left[\frac{gD\sigma(1+\cos\theta)(\rho_l-\rho_g)} {\rho_l^2}\right]^{0.25}(1.22 + 1.22\sin\theta)^{\frac{P}{P_{atm}}}} .. math:: v_{gs} = \frac{mx}{\rho_g \frac{\pi}{4}D^2} .. math:: v_{ls} = \frac{m(1-x)}{\rho_l \frac{\pi}{4}D^2} Parameters ---------- x : float Quality at the specific tube interval [] rhol : float Density of the liquid [kg/m^3] rhog : float Density of the gas [kg/m^3] sigma : float Surface tension of liquid [N/m] m : float Mass flow rate of both phases, [kg/s] D : float Diameter of the channel, [m] P : float Pressure of the fluid, [Pa] angle : float Angle of the channel with respect to the horizontal (vertical = 90), [degrees] g : float, optional Acceleration due to gravity, [m/s^2] Returns ------- alpha : float Void fraction (area of gas / total area of channel), [-] Notes ----- Strongly recommended. Examples -------- >>> Woldesemayat_Ghajar(0.4, 800., 2.5, sigma=0.2, m=1, D=0.3, P=1E6, angle=45) 0.7640815513429202 References ---------- .. [1] Woldesemayat, Melkamu A., and Afshin J. Ghajar. "Comparison of Void Fraction Correlations for Different Flow Patterns in Horizontal and Upward Inclined Pipes." International Journal of Multiphase Flow 33, no. 4 (April 2007): 347-370. doi:10.1016/j.ijmultiphaseflow.2006.09.004. ''' vgs = m*x/(rhog*pi/4*D**2) vls = m*(1-x)/(rhol*pi/4*D**2) first = vgs*(1 + (vls/vgs)**((rhog/rhol)**0.1)) second = 2.9*sqrt(sqrt((g*D*sigma*(1 + cos(radians(angle)))*(rhol-rhog))/rhol**2)) if P is None: P = 101325.0 third = (1.22 + 1.22*sin(radians(angle)))**(101325./P) return vgs/(first + second*third) # x, rhol, rhog 2ill be the minimum inputs two_phase_voidage_correlations = {'Thom' : (Thom, ('x', 'rhol', 'rhog', 'mul', 'mug')), 'Zivi' : (Zivi, ('x', 'rhol', 'rhog')), 'Smith' : (Smith, ('x', 'rhol', 'rhog')), 'Fauske' : (Fauske, ('x', 'rhol', 'rhog')), 'Chisholm_voidage' : (Chisholm_voidage, ('x', 'rhol', 'rhog')), 'Turner Wallis' : (Turner_Wallis, ('x', 'rhol', 'rhog', 'mul', 'mug')), 'homogeneous' : (homogeneous, ('x', 'rhol', 'rhog')), 'Chisholm Armand' : (Chisholm_Armand, ('x', 'rhol', 'rhog')), 'Armand' : (Armand, ('x', 'rhol', 'rhog')), 'Nishino Yamazaki' : (Nishino_Yamazaki, ('x', 'rhol', 'rhog')), 'Guzhov' : (Guzhov, ('x', 'rhol', 'rhog', 'm', 'D')), 'Kawahara' : (Kawahara, ('x', 'rhol', 'rhog', 'D')), 'Baroczy' : (Baroczy, ('x', 'rhol', 'rhog', 'mul', 'mug')), 'Tandon Varma Gupta' : (Tandon_Varma_Gupta, ('x', 'rhol', 'rhog', 'mul', 'mug', 'm', 'D')), 'Harms' : (Harms, ('x', 'rhol', 'rhog', 'mul', 'mug', 'm', 'D')), 'Domanski Didion' : (Domanski_Didion, ('x', 'rhol', 'rhog', 'mul', 'mug')), 'Graham' : (Graham, ('x', 'rhol', 'rhog', 'mul', 'mug', 'm', 'D', 'g')), 'Yashar' : (Yashar, ('x', 'rhol', 'rhog', 'mul', 'mug', 'm', 'D', 'g')), 'Huq_Loth' : (Huq_Loth, ('x', 'rhol', 'rhog')), 'Kopte_Newell_Chato' : (Kopte_Newell_Chato, ('x', 'rhol', 'rhog', 'mul', 'mug', 'm', 'D', 'g')), 'Steiner' : (Steiner, ('x', 'rhol', 'rhog', 'sigma', 'm', 'D', 'g')), 'Rouhani 1' : (Rouhani_1, ('x', 'rhol', 'rhog', 'sigma', 'm', 'D', 'g')), 'Rouhani 2' : (Rouhani_2, ('x', 'rhol', 'rhog', 'sigma', 'm', 'D', 'g')), 'Nicklin Wilkes Davidson' : (Nicklin_Wilkes_Davidson, ('x', 'rhol', 'rhog', 'm', 'D', 'g')), 'Gregory_Scott' : (Gregory_Scott, ('x', 'rhol', 'rhog')), 'Dix' : (Dix, ('x', 'rhol', 'rhog', 'sigma', 'm', 'D', 'g')), 'Sun Duffey Peng' : (Sun_Duffey_Peng, ('x', 'rhol', 'rhog', 'sigma', 'm', 'D', 'P', 'Pc', 'g')), 'Xu Fang voidage' : (Xu_Fang_voidage, ('x', 'rhol', 'rhog', 'm', 'D', 'g')), 'Woldesemayat Ghajar' : (Woldesemayat_Ghajar, ('x', 'rhol', 'rhog', 'sigma', 'm', 'D', 'P', 'angle', 'g'))} _unknown_two_phase_voidage_corr = 'Method not recognized; available methods are %s' %list(two_phase_voidage_correlations.keys()) # All the available arguments are: #{'rhol', 'angle=0', 'x', 'P', 'mug', 'rhog', 'D', 'g', 'Pc', 'sigma', 'mul', 'm'} def liquid_gas_voidage_methods(x, rhol, rhog, D=None, m=None, mul=None, mug=None, sigma=None, P=None, Pc=None, angle=0.0, g=g, check_ranges=False): r'''This function returns a list of liquid-gas voidage correlation names which can perform the calculation with the provided inputs. The holdup is for two-phase liquid-gas flow inside channels. 29 calculation methods are available, with varying input requirements. Parameters ---------- x : float Quality of fluid, [-] rhol : float Liquid density, [kg/m^3] rhog : float Gas density, [kg/m^3] D : float, optional Diameter of pipe, [m] m : float, optional Mass flow rate of fluid, [kg/s] mul : float, optional Viscosity of liquid, [Pa*s] mug : float, optional Viscosity of gas, [Pa*s] sigma : float, optional Surface tension, [N/m] P : float, optional Pressure of fluid, [Pa] Pc : float, optional Critical pressure of fluid, [Pa] angle : float, optional Angle of the channel with respect to the horizontal (vertical = 90), [degrees] g : float, optional Acceleration due to gravity, [m/s^2] check_ranges : bool, optional Added for future use only Returns ------- methods : list, only returned if AvailableMethods == True List of methods which can be used to calculate two-phase liquid-gas voidage with the given inputs. Examples -------- >>> len(liquid_gas_voidage_methods(m=0.6, x=0.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, sigma=0.0487, D=0.05)) 27 ''' vals = {'x': x, 'rhol': rhol, 'rhog': rhog, 'D': D, 'm': m, 'mul': mul, 'mug': mug, 'sigma': sigma, 'P': P, 'Pc': Pc, 'angle': angle, 'g': g, 'check_ranges': check_ranges} usable_methods = [] for method, value in two_phase_voidage_correlations.items(): f, args = value if all(vals[i] is not None for i in args): usable_methods.append(method) return usable_methods def liquid_gas_voidage(x, rhol, rhog, D=None, m=None, mul=None, mug=None, sigma=None, P=None, Pc=None, angle=0, g=g, Method=None): r'''This function handles calculation of two-phase liquid-gas voidage for flow inside channels. 29 calculation methods are available, with varying input requirements. A correlation will be automatically selected if none is specified. This function is used to calculate the (liquid) holdup as well, as: .. math:: \text{holdup} = 1 - \text{voidage} If no correlation is selected, the following rules are used, with the earlier options attempted first: * TODO: defaults Parameters ---------- x : float Quality of fluid, [-] rhol : float Liquid density, [kg/m^3] rhog : float Gas density, [kg/m^3] D : float, optional Diameter of pipe, [m] m : float, optional Mass flow rate of fluid, [kg/s] mul : float, optional Viscosity of liquid, [Pa*s] mug : float, optional Viscosity of gas, [Pa*s] sigma : float, optional Surface tension, [N/m] P : float, optional Pressure of fluid, [Pa] Pc : float, optional Critical pressure of fluid, [Pa] angle : float, optional Angle of the channel with respect to the horizontal (vertical = 90), [degrees] g : float, optional Acceleration due to gravity, [m/s^2] Returns ------- alpha : float Void fraction (area of gas / total area of channel), [-] Other Parameters ---------------- Method : string, optional A string of the function name to use, as in the dictionary two_phase_voidage_correlations. Notes ----- Examples -------- >>> liquid_gas_voidage(m=0.6, x=0.1, rhol=915., rhog=2.67, mul=180E-6, mug=14E-6, ... sigma=0.0487, D=0.05) 0.9744097632663492 ''' if Method is None: Method2 = 'homogeneous' else: Method2 = Method if Method2 == "Thom": return Thom(x=x, rhol=rhol, rhog=rhog, mul=mul, mug=mug) elif Method2 == "Zivi": return Zivi(x=x, rhol=rhol, rhog=rhog) elif Method2 == "Smith": return Smith(x=x, rhol=rhol, rhog=rhog) elif Method2 == "Fauske": return Fauske(x=x, rhol=rhol, rhog=rhog) elif Method2 == "Chisholm_voidage": return Chisholm_voidage(x=x, rhol=rhol, rhog=rhog) elif Method2 == "Turner Wallis": return Turner_Wallis(x=x, rhol=rhol, rhog=rhog, mul=mul, mug=mug) elif Method2 == "homogeneous": return homogeneous(x=x, rhol=rhol, rhog=rhog) elif Method2 == "Chisholm Armand": return Chisholm_Armand(x=x, rhol=rhol, rhog=rhog) elif Method2 == "Armand": return Armand(x=x, rhol=rhol, rhog=rhog) elif Method2 == "Nishino Yamazaki": return Nishino_Yamazaki(x=x, rhol=rhol, rhog=rhog) elif Method2 == "Guzhov": return Guzhov(x=x, rhol=rhol, rhog=rhog, m=m, D=D) elif Method2 == "Kawahara": return Kawahara(x=x, rhol=rhol, rhog=rhog, D=D) elif Method2 == "Baroczy": return Baroczy(x=x, rhol=rhol, rhog=rhog, mul=mul, mug=mug) elif Method2 == "Tandon Varma Gupta": return Tandon_Varma_Gupta(x=x, rhol=rhol, rhog=rhog, mul=mul, mug=mug, m=m, D=D) elif Method2 == "Harms": return Harms(x=x, rhol=rhol, rhog=rhog, mul=mul, mug=mug, m=m, D=D) elif Method2 == "Domanski Didion": return Domanski_Didion(x=x, rhol=rhol, rhog=rhog, mul=mul, mug=mug) elif Method2 == "Graham": return Graham(x=x, rhol=rhol, rhog=rhog, mul=mul, mug=mug, m=m, D=D, g=g) elif Method2 == "Yashar": return Yashar(x=x, rhol=rhol, rhog=rhog, mul=mul, mug=mug, m=m, D=D, g=g) elif Method2 == "Huq_Loth": return Huq_Loth(x=x, rhol=rhol, rhog=rhog) elif Method2 == "Kopte_Newell_Chato": return Kopte_Newell_Chato(x=x, rhol=rhol, rhog=rhog, mul=mul, mug=mug, m=m, D=D, g=g) elif Method2 == "Steiner": return Steiner(x=x, rhol=rhol, rhog=rhog, sigma=sigma, m=m, D=D, g=g) elif Method2 == "Rouhani 1": return Rouhani_1(x=x, rhol=rhol, rhog=rhog, sigma=sigma, m=m, D=D, g=g) elif Method2 == "Rouhani 2": return Rouhani_2(x=x, rhol=rhol, rhog=rhog, sigma=sigma, m=m, D=D, g=g) elif Method2 == "Nicklin Wilkes Davidson": return Nicklin_Wilkes_Davidson(x=x, rhol=rhol, rhog=rhog, m=m, D=D, g=g) elif Method2 == "Gregory_Scott": return Gregory_Scott(x=x, rhol=rhol, rhog=rhog) elif Method2 == "Dix": return Dix(x=x, rhol=rhol, rhog=rhog, sigma=sigma, m=m, D=D, g=g) elif Method2 == "Sun Duffey Peng": return Sun_Duffey_Peng(x=x, rhol=rhol, rhog=rhog, sigma=sigma, m=m, D=D, P=P, Pc=Pc, g=g) elif Method2 == "Xu Fang voidage": return Xu_Fang_voidage(x=x, rhol=rhol, rhog=rhog, m=m, D=D, g=g) elif Method2 == "Woldesemayat Ghajar": return Woldesemayat_Ghajar(x=x, rhol=rhol, rhog=rhog, sigma=sigma, m=m, D=D, P=P, angle=angle, g=g) else: raise ValueError(_unknown_two_phase_voidage_corr) def density_two_phase(alpha, rhol, rhog): r'''Calculates the "effective" density of fluid in a liquid-gas flow. If the weight of fluid in a pipe pipe could be measured and the volume of the pipe were known, an effective density of the two-phase mixture could be calculated. This is directly relatable to the void fraction of the pipe, a parameter used to predict the pressure drop. This function converts void fraction to effective two-phase density. .. math:: \rho_m = \alpha \rho_g + (1-\alpha)\rho_l Parameters ---------- alpha : float Void fraction (area of gas / total area of channel), [-] rhol : float Density of the liquid [kg/m^3] rhog : float Density of the gas [kg/m^3] Returns ------- rho_lg : float Two-phase effective density [kg/m^3] Notes ----- **THERE IS NO THERMODYNAMIC DEFINITION FOR THIS QUANTITY. DO NOT USE THIS VALUE IN SINGLE-PHASE CORRELATIONS.** Examples -------- >>> density_two_phase(.4, 800, 2.5) 481.0 References ---------- .. [1] Awad, M. M., and Y. S. Muzychka. "Effective Property Models for Homogeneous Two-Phase Flows." Experimental Thermal and Fluid Science 33, no. 1 (October 1, 2008): 106-13. ''' return alpha*rhog + (1. - alpha)*rhol def two_phase_voidage_experimental(rho_lg, rhol, rhog): r'''Calculates the void fraction for two-phase liquid-gas pipeflow. If the weight of fluid in a pipe pipe could be measured and the volume of the pipe were known, an effective density of the two-phase mixture could be calculated. This is directly relatable to the void fraction of the pipe, a parameter used to predict the pressure drop. This function converts that measured effective two-phase density to void fraction for use in developing correlations. .. math:: \alpha = \frac{\rho_m - \rho_l}{\rho_g - \rho_l} Parameters ---------- rho_lg : float Two-phase effective density [kg/m^3] rhol : float Density of the liquid [kg/m^3] rhog : float Density of the gas [kg/m^3] Returns ------- alpha : float Void fraction (area of gas / total area of channel), [-] Notes ----- Examples -------- >>> two_phase_voidage_experimental(481.0, 800, 2.5) 0.4 References ---------- .. [1] Awad, M. M., and Y. S. Muzychka. "Effective Property Models for Homogeneous Two-Phase Flows." Experimental Thermal and Fluid Science 33, no. 1 (October 1, 2008): 106-13. ''' return (rho_lg - rhol)/(rhog - rhol) ### two-phase viscosity models def Beattie_Whalley(x, mul, mug, rhol, rhog): r'''Calculates a suggested definition for liquid-gas two-phase flow viscosity in internal pipe flow according to the form in [1]_ and shown in [2]_ and [3]_. .. math:: \mu_m = \mu_l(1-\alpha_m)(1 + 2.5\alpha_m) + \mu_g\alpha_m .. math:: \alpha_m = \frac{1}{1 + \left(\frac{1-x}{x}\right)\frac{\rho_g}{\rho_l}} \text{(homogeneous model)} Parameters ---------- x : float Quality of the gas-liquid flow, [-] mul : float Viscosity of liquid, [Pa*s] mug : float Viscosity of gas, [Pa*s] rhol : float Density of the liquid [kg/m^3] rhog : float Density of the gas [kg/m^3] Returns ------- mu_lg : float Liquid-gas viscosity (**a suggested definition, potentially useful for empirical work only!**) [Pa*s] Notes ----- This model converges to the liquid or gas viscosity as the quality approaches either limits. Examples -------- >>> Beattie_Whalley(x=0.4, mul=1E-3, mug=1E-5, rhol=850, rhog=1.2) 1.7363806909512365e-05 References ---------- .. [1] Beattie, D. R. H., and P. B. Whalley. "A Simple Two-Phase Frictional Pressure Drop Calculation Method." International Journal of Multiphase Flow 8, no. 1 (February 1, 1982): 83-87. doi:10.1016/0301-9322(82)90009-X. .. [2] Awad, M. M., and Y. S. Muzychka. "Effective Property Models for Homogeneous Two-Phase Flows." Experimental Thermal and Fluid Science 33, no. 1 (October 1, 2008): 106-13. .. [3] Kim, Sung-Min, and Issam Mudawar. "Review of Databases and Predictive Methods for Pressure Drop in Adiabatic, Condensing and Boiling Mini/Micro-Channel Flows." International Journal of Heat and Mass Transfer 77 (October 2014): 74-97. doi:10.1016/j.ijheatmasstransfer.2014.04.035. ''' alpha = homogeneous(x, rhol, rhog) return mul*(1. - alpha)*(1. + 2.5*alpha) + mug*alpha def McAdams(x, mul, mug): r'''Calculates a suggested definition for liquid-gas two-phase flow viscosity in internal pipe flow according to the form in [1]_ and shown in [2]_ and [3]_. .. math:: \mu_m = \left(\frac{x}{\mu_g} + \frac{1-x}{\mu_l}\right)^{-1} Parameters ---------- x : float Quality of the gas-liquid flow, [-] mul : float Viscosity of liquid, [Pa*s] mug : float Viscosity of gas, [Pa*s] Returns ------- mu_lg : float Liquid-gas viscosity (**a suggested definition, potentially useful for empirical work only!**) [Pa*s] Notes ----- This model converges to the liquid or gas viscosity as the quality approaches either limits. [3]_ states this is the most common definition of two-phase liquid-gas viscosity. Examples -------- >>> McAdams(x=0.4, mul=1E-3, mug=1E-5) 2.4630541871921184e-05 References ---------- .. [1] McAdams, W. H. "Vaporization inside Horizontal Tubes-II Benzene-Oil Mixtures." Trans. ASME 39 (1949): 39-48. .. [2] Awad, M. M., and Y. S. Muzychka. "Effective Property Models for Homogeneous Two-Phase Flows." Experimental Thermal and Fluid Science 33, no. 1 (October 1, 2008): 106-13. .. [3] Kim, Sung-Min, and Issam Mudawar. "Review of Databases and Predictive Methods for Pressure Drop in Adiabatic, Condensing and Boiling Mini/Micro-Channel Flows." International Journal of Heat and Mass Transfer 77 (October 2014): 74-97. doi:10.1016/j.ijheatmasstransfer.2014.04.035. ''' return 1./(x/mug + (1. - x)/mul) def Cicchitti(x, mul, mug): r'''Calculates a suggested definition for liquid-gas two-phase flow viscosity in internal pipe flow according to the form in [1]_ and shown in [2]_ and [3]_. .. math:: \mu_m = x\mu_g + (1-x)\mu_l Parameters ---------- x : float Quality of the gas-liquid flow, [-] mul : float Viscosity of liquid, [Pa*s] mug : float Viscosity of gas, [Pa*s] Returns ------- mu_lg : float Liquid-gas viscosity (**a suggested definition, potentially useful for empirical work only!**) [Pa*s] Notes ----- This model converges to the liquid or gas viscosity as the quality approaches either limits. Examples -------- >>> Cicchitti(x=0.4, mul=1E-3, mug=1E-5) 0.0006039999999999999 References ---------- .. [1] Cicchitti, A., C. Lombardi, M. Silvestri, G. Soldaini, and R. Zavattarelli. "Two-Phase Cooling Experiments: Pressure Drop, Heat Transfer and Burnout Measurements." Centro Informazioni Studi Esperienze, Milan, January 1, 1959. .. [2] Awad, M. M., and Y. S. Muzychka. "Effective Property Models for Homogeneous Two-Phase Flows." Experimental Thermal and Fluid Science 33, no. 1 (October 1, 2008): 106-13. .. [3] Kim, Sung-Min, and Issam Mudawar. "Review of Databases and Predictive Methods for Pressure Drop in Adiabatic, Condensing and Boiling Mini/Micro-Channel Flows." International Journal of Heat and Mass Transfer 77 (October 2014): 74-97. doi:10.1016/j.ijheatmasstransfer.2014.04.035. ''' return x*mug + (1. - x)*mul def Lin_Kwok(x, mul, mug): r'''Calculates a suggested definition for liquid-gas two-phase flow viscosity in internal pipe flow according to the form in [1]_ and shown in [2]_. .. math:: \mu_m = \frac{\mu_l \mu_g}{\mu_g + x^{1.4}(\mu_l - \mu_g)} Parameters ---------- x : float Quality of the gas-liquid flow, [-] mul : float Viscosity of liquid, [Pa*s] mug : float Viscosity of gas, [Pa*s] Returns ------- mu_lg : float Liquid-gas viscosity (**a suggested definition, potentially useful for empirical work only!**) [Pa*s] Notes ----- This model converges to the liquid or gas viscosity as the quality approaches either limits. Examples -------- >>> Lin_Kwok(x=0.4, mul=1E-3, mug=1E-5) 3.515119398126066e-05 References ---------- .. [1] Lin, S., C. C. K. Kwok, R. -Y. Li, Z. -H. Chen, and Z. -Y. Chen. "Local Frictional Pressure Drop during Vaporization of R-12 through Capillary Tubes." International Journal of Multiphase Flow 17, no. 1 (January 1, 1991): 95-102. doi:10.1016/0301-9322(91)90072-B. .. [2] Awad, M. M., and Y. S. Muzychka. "Effective Property Models for Homogeneous Two-Phase Flows." Experimental Thermal and Fluid Science 33, no. 1 (October 1, 2008): 106-13. ''' return mul*mug/(mug + x**1.4*(mul - mug)) def Fourar_Bories(x, mul, mug, rhol, rhog): r'''Calculates a suggested definition for liquid-gas two-phase flow viscosity in internal pipe flow according to the form in [1]_ and shown in [2]_ and [3]_. .. math:: \mu_m = \rho_m\left(\sqrt{x\nu_g} + \sqrt{(1-x)\nu_l}\right)^2 Parameters ---------- x : float Quality of the gas-liquid flow, [-] mul : float Viscosity of liquid, [Pa*s] mug : float Viscosity of gas, [Pa*s] rhol : float Density of the liquid, [kg/m^3] rhog : float Density of the gas, [kg/m^3] Returns ------- mu_lg : float Liquid-gas viscosity (**a suggested definition, potentially useful for empirical work only!**) [Pa*s] Notes ----- This model converges to the liquid or gas viscosity as the quality approaches either limits. This was first expressed in the equalivalent form as follows: .. math:: \mu_m = \rho_m\left(x\nu_g + (1-x)\nu_l + 2\sqrt{x(1-x)\nu_g\nu_l} \right) Examples -------- >>> Fourar_Bories(x=0.4, mul=1E-3, mug=1E-5, rhol=850, rhog=1.2) 2.127617150298565e-05 References ---------- .. [1] Fourar, M., and S. Bories. "Experimental Study of Air-Water Two-Phase Flow through a Fracture (Narrow Channel)." International Journal of Multiphase Flow 21, no. 4 (August 1, 1995): 621-37. doi:10.1016/0301-9322(95)00005-I. .. [2] Awad, M. M., and Y. S. Muzychka. "Effective Property Models for Homogeneous Two-Phase Flows." Experimental Thermal and Fluid Science 33, no. 1 (October 1, 2008): 106-13. .. [3] Aung, NZ, and T. Yuwono. "Evaluation of Mixture Viscosity Models in the Prediction of Two-Phase Flow Pressure Drops." ASEAN Journal on Science and Technology for Development 29, no. 2 (2012). ''' rhom = 1./(x/rhog + (1. - x)/rhol) nul = mul/rhol # = nu_mu_converter(rho=rhol, mu=mul) nug = mug/rhog # = nu_mu_converter(rho=rhog, mu=mug) return rhom*(sqrt(x*nug) + sqrt((1. - x)*nul))**2 def Duckler(x, mul, mug, rhol, rhog): r'''Calculates a suggested definition for liquid-gas two-phase flow viscosity in internal pipe flow according to the form in [1]_ and shown in [2]_, [3]_, and [4]_. .. math:: \mu_m = \frac{\frac{x\mu_g}{\rho_g} + \frac{(1-x)\mu_l}{\rho_l} } {\frac{x}{\rho_g} + \frac{(1-x)}{\rho_l} } Parameters ---------- x : float Quality of the gas-liquid flow, [-] mul : float Viscosity of liquid, [Pa*s] mug : float Viscosity of gas, [Pa*s] rhol : float Density of the liquid, [kg/m^3] rhog : float Density of the gas, [kg/m^3] Returns ------- mu_lg : float Liquid-gas viscosity (**a suggested definition, potentially useful for empirical work only!**) [Pa*s] Notes ----- This model converges to the liquid or gas viscosity as the quality approaches either limits. This has also been expressed in the following form: .. math:: \mu_m = \rho_m \left[x\left(\frac{\mu_g}{\rho_g}\right) + (1 - x)\left(\frac{\mu_l}{\rho_l}\right)\right] According to the homogeneous definition of two-phase density. Examples -------- >>> Duckler(x=0.4, mul=1E-3, mug=1E-5, rhol=850, rhog=1.2) 1.2092040385066917e-05 References ---------- .. [1] Fourar, M., and S. Bories. "Experimental Study of Air-Water Two-Phase Flow through a Fracture (Narrow Channel)." International Journal of Multiphase Flow 21, no. 4 (August 1, 1995): 621-37. doi:10.1016/0301-9322(95)00005-I. .. [2] Awad, M. M., and Y. S. Muzychka. "Effective Property Models for Homogeneous Two-Phase Flows." Experimental Thermal and Fluid Science 33, no. 1 (October 1, 2008): 106-13. .. [3] Kim, Sung-Min, and Issam Mudawar. "Review of Databases and Predictive Methods for Pressure Drop in Adiabatic, Condensing and Boiling Mini/Micro-Channel Flows." International Journal of Heat and Mass Transfer 77 (October 2014): 74-97. doi:10.1016/j.ijheatmasstransfer.2014.04.035. .. [4] Aung, NZ, and T. Yuwono. "Evaluation of Mixture Viscosity Models in the Prediction of Two-Phase Flow Pressure Drops." ASEAN Journal on Science and Technology for Development 29, no. 2 (2012). ''' return (x*mug/rhog + (1. - x)*mul/rhol)/(x/rhog + (1. - x)/rhol) liquid_gas_viscosity_correlations = {'Beattie Whalley': (Beattie_Whalley, 1), 'Fourar Bories': (Fourar_Bories, 1), 'Duckler': (Duckler, 1), 'McAdams': (McAdams, 0), 'Cicchitti': (Cicchitti, 0), 'Lin Kwok': (Lin_Kwok, 0)} liquid_gas_viscosity_correlations_list = ['Beattie Whalley', 'Fourar Bories', 'Duckler', 'McAdams', 'Cicchitti', 'Lin Kwok'] def gas_liquid_viscosity_methods(rhol=None, rhog=None, check_ranges=False): r'''This function returns a list of methods which can be used for calculating two-phase liquid-gas viscosity. Six calculation methods are available; three of them require only `x`, `mul`, and `mug`; the other three require `rhol` and `rhog` as well. Parameters ---------- rhol : float, optional Liquid density, [kg/m^3] rhog : float, optional Gas density, [kg/m^3] check_ranges : bool, optional Added for compatibility only, never used Returns ------- methods : list List of methods which can be used to calculate two-phase liquid-gas viscosity with the given inputs. Examples -------- >>> gas_liquid_viscosity_methods() ['McAdams', 'Cicchitti', 'Lin Kwok'] >>> gas_liquid_viscosity_methods(rhol=1000, rhog=2) ['Beattie Whalley', 'Fourar Bories', 'Duckler', 'McAdams', 'Cicchitti', 'Lin Kwok'] ''' methods = ['McAdams', 'Cicchitti', 'Lin Kwok'] if rhol is not None and rhog is not None: methods = liquid_gas_viscosity_correlations_list return methods _gas_liquid_viscosity_method_unknown = 'Method not recognized; available methods are %s' %list(liquid_gas_viscosity_correlations.keys()) def gas_liquid_viscosity(x, mul, mug, rhol=None, rhog=None, Method=None): r'''This function handles the calculation of two-phase liquid-gas viscosity. Six calculation methods are available; three of them require only `x`, `mul`, and `mug`; the other three require `rhol` and `rhog` as well. The 'McAdams' method will be used if no method is specified. The full list of correlation can be obtained with the `AvailableMethods` flag. **ALL OF THESE METHODS ARE ONLY SUGGESTED DEFINITIONS, POTENTIALLY USEFUL FOR EMPIRICAL WORK ONLY!** Parameters ---------- x : float Quality of fluid, [-] mul : float Viscosity of liquid, [Pa*s] mug : float Viscosity of gas, [Pa*s] rhol : float, optional Liquid density, [kg/m^3] rhog : float, optional Gas density, [kg/m^3] Returns ------- mu_lg : float Liquid-gas viscosity (**a suggested definition, potentially useful for empirical work only!**) [Pa*s] Other Parameters ---------------- Method : string, optional A string of the function name to use, as in the dictionary liquid_gas_viscosity_correlations. Notes ----- All of these models converge to the liquid or gas viscosity as the quality approaches either limits. Other definitions have been proposed, such as using only liquid viscosity. These values cannot just be plugged into single phase correlations! Examples -------- >>> gas_liquid_viscosity(x=0.4, mul=1E-3, mug=1E-5, rhol=850, rhog=1.2, Method='Duckler') 1.2092040385066917e-05 >>> gas_liquid_viscosity(x=0.4, mul=1E-3, mug=1E-5) 2.4630541871921184e-05 ''' if Method is None: Method = 'McAdams' if Method == 'Beattie Whalley': return Beattie_Whalley(x, mul, mug, rhol=rhol, rhog=rhog) elif Method == 'Fourar Bories': return Fourar_Bories(x, mul, mug, rhol=rhol, rhog=rhog) elif Method == 'Duckler': return Duckler(x, mul, mug, rhol=rhol, rhog=rhog) elif Method == 'McAdams': return McAdams(x, mul, mug) elif Method == 'Cicchitti': return Cicchitti(x, mul, mug) elif Method == 'Lin Kwok': return Lin_Kwok(x, mul, mug) else: raise ValueError(_gas_liquid_viscosity_method_unknown) fluids-1.0.22/fluids/nrlmsise00/0000755000175000017500000000000014302004506015664 5ustar nileshnileshfluids-1.0.22/fluids/nrlmsise00/README0000644000175000017500000000075414302004506016552 0ustar nileshnileshThis is a port of the NRLMSISE-00 atmospheric model to python based of the c version from Dominik Brodowski http://www.brodo.de/english/pub/nrlmsise/ It is used the same way as the c version is C program runtime 0.031-0.033 seconds Python runtime 0.038-0.041 seconds It runs at almost comparable speeds after running a few times To use, make an input class, and output class, and a flag class. Set the input and flags with the appropriate settings, then call gtd7(input, flags, output) fluids-1.0.22/fluids/nrlmsise00/nrlmsise_00_header.py0000644000175000017500000002117614302004506021710 0ustar nileshnilesh# -*- coding: utf-8 -*- """ 12/19/2013 Author: Joshua Milas Python Version: 3.3.2 The NRLMSISE-00 model 2001 ported to python Based off of Dominik Brodowski 20100516 version available here http://www.brodo.de/english/pub/nrlmsise/ This is the header of the program that contains all the classes The MIT License (MIT) Copyright (c) 2016 Joshua Milas Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. /* -------------------------------------------------------------------- */ /* --------- N R L M S I S E - 0 0 M O D E L 2 0 0 1 ---------- */ /* -------------------------------------------------------------------- */ /* This file is part of the NRLMSISE-00 C source code package - release * 20041227 * * The NRLMSISE-00 model was developed by Mike Picone, Alan Hedin, and * Doug Drob. They also wrote a NRLMSISE-00 distribution package in * FORTRAN which is available at * http://uap-www.nrl.navy.mil/models_web/msis/msis_home.htm * * Dominik Brodowski implemented and maintains this C version. You can * reach him at mail@brodo.de. See the file "DOCUMENTATION" for details, * and check http://www.brodo.de/english/pub/nrlmsise/index.html for * updated releases of this package. */ """ from __future__ import division __all__ = ['nrlmsise_flags', 'ap_array', 'nrlmsise_input', 'nrlmsise_output'] #/* ------------------------------------------------------------------- */ #/* ------------------------------- INPUT ----------------------------- */ #/* ------------------------------------------------------------------- */ class nrlmsise_flags(object): """ * Switches: to turn on and off particular variations use these switches. * 0 is off, 1 is on, and 2 is main effects off but cross terms on. * * Standard values are 0 for switch 0 and 1 for switches 1 to 23. The * array "switches" needs to be set accordingly by the calling program. * The arrays sw and swc are set internally. * * switches[i]: * i - explanation * ----------------- * 0 - output in centimeters instead of meters * 1 - F10.7 effect on mean * 2 - time independent * 3 - symmetrical annual * 4 - symmetrical semiannual * 5 - asymmetrical annual * 6 - asymmetrical semiannual * 7 - diurnal * 8 - semidiurnal * 9 - daily ap [when this is set to -1 (!) the pointer * ap_a in struct nrlmsise_input must * point to a struct ap_array] * 10 - all UT/long effects * 11 - longitudinal * 12 - UT and mixed UT/long * 13 - mixed AP/UT/LONG * 14 - terdiurnal * 15 - departures from diffusive equilibrium * 16 - all TINF var * 17 - all TLB var * 18 - all TN1 var * 19 - all S var * 20 - all TN2 var * 21 - all NLB var * 22 - all TN3 var * 23 - turbo scale height var """ def __init__(self): self.switches = [0.0]*24 self.sw = [0.0]*24 self.swc = [0.0]*24 class ap_array(object): """ * Array containing the following magnetic values: * 0 : daily AP * 1 : 3 hr AP index for current time * 2 : 3 hr AP index for 3 hrs before current time * 3 : 3 hr AP index for 6 hrs before current time * 4 : 3 hr AP index for 9 hrs before current time * 5 : Average of eight 3 hr AP indices from 12 to 33 hrs * prior to current time * 6 : Average of eight 3 hr AP indices from 36 to 57 hrs * prior to current time """ def __init__(self): self.a = [0.0]*7 class nrlmsise_input(object): """ /* * NOTES ON INPUT VARIABLES: * UT, Local Time, and Longitude are used independently in the * model and are not of equal importance for every situation. * For the most physically realistic calculation these three * variables should be consistent (lst=sec/3600 + g_long/15). * The Equation of Time departures from the above formula * for apparent local time can be included if available but * are of minor importance. * * f107 and f107A values used to generate the model correspond * to the 10.7 cm radio flux at the actual distance of the Earth * from the Sun rather than the radio flux at 1 AU. The following * site provides both classes of values: * ftp://ftp.ngdc.noaa.govS/STP/SOLAR_DATA/SOLAR_RADIO/FLUX/ * * f107, f107A, and ap effects are neither large nor well * established below 80 km and these parameters should be set to * 150., 150., and 4. respectively. */ """ def __init__(self, year=0, doy=0, sec=0.0, alt=0.0, g_lat=0.0, g_long=0.0, lst=0.0, f107A=0.0, f107=0.0, ap=0.0, ap_a=None): self.year = year #/* year, currently ignored */ self.doy = doy #/* day of year */ self.sec = sec #/* seconds in day (UT) */ self.alt = alt #/* altitude in kilometes */ self.g_lat = g_lat #/* geodetic latitude */ self.g_long = g_long #/* geodetic longitude */ self.lst = lst #/* local apparent solar time (hours), see note above */ self.f107A = f107A #/* 81 day average of F10.7 flux (centered on doy) */ self.f107 = f107 #/* daily F10.7 flux for previous day */ self.ap = ap #/* magnetic index(daily) */ self.ap_a = ap_a #/* see above */ Set as none for an idiot check #set flags.switches[9] = -1 to use this #/* ------------------------------------------------------------------- */ #/* ------------------------------ OUTPUT ----------------------------- */ #/* ------------------------------------------------------------------- */ class nrlmsise_output(object): """ /* * OUTPUT VARIABLES: * d[0] - HE NUMBER DENSITY(CM-3) * d[1] - O NUMBER DENSITY(CM-3) * d[2] - N2 NUMBER DENSITY(CM-3) * d[3] - O2 NUMBER DENSITY(CM-3) * d[4] - AR NUMBER DENSITY(CM-3) * d[5] - TOTAL MASS DENSITY(GM/CM3) [includes d[8] in td7d] * d[6] - H NUMBER DENSITY(CM-3) * d[7] - N NUMBER DENSITY(CM-3) * d[8] - Anomalous oxygen NUMBER DENSITY(CM-3) * t[0] - EXOSPHERIC TEMPERATURE * t[1] - TEMPERATURE AT ALT * * * O, H, and N are set to zero below 72.5 km * * t[0], Exospheric temperature, is set to global average for * altitudes below 120 km. The 120 km gradient is left at global * average value for altitudes below 72 km. * * d[5], TOTAL MASS DENSITY, is NOT the same for subroutines GTD7 * and GTD7D * * SUBROUTINE GTD7 -- d[5] is the sum of the mass densities of the * species labeled by indices 0-4 and 6-7 in output variable d. * This includes He, O, N2, O2, Ar, H, and N but does NOT include * anomalous oxygen (species index 8). * * SUBROUTINE GTD7D -- d[5] is the "effective total mass density * for drag" and is the sum of the mass densities of all species * in this model, INCLUDING anomalous oxygen. */ """ def __init__(self): self.d = [0.0]*9 #/* densities */ self.t = [0.0]*2 #/* temperatures */ #/* ------------------------------------------------------------------- */ #/* --------------------------- PROTOTYPES ---------------------------- */ #/* ------------------------------------------------------------------- */ # No prototypes are used here, these are here for reference ''' /* GTD7 */ /* Neutral Atmosphere Empircial Model from the surface to lower * exosphere. */ /* GTD7D */ /* This subroutine provides Effective Total Mass Density for output * d[5] which includes contributions from "anomalous oxygen" which can * affect satellite drag above 500 km. See the section "output" for * additional details. */ /* GTS7 */ /* Thermospheric portion of NRLMSISE-00 */ /* GHP7 */ /* To specify outputs at a pressure level (press) rather than at * an altitude. */ ''' fluids-1.0.22/fluids/nrlmsise00/LICENSE0000644000175000017500000000211514302004506016670 0ustar nileshnileshThe MIT License (MIT) Copyright (c) 2016 Joshua Milas Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.fluids-1.0.22/fluids/nrlmsise00/nrlmsise_00.py0000644000175000017500000014501614302004506020400 0ustar nileshnilesh# -*- coding: utf-8 -*- """ 12/19/2013 Author: Joshua Milas Python Version: 3.3.2 The NRLMSISE-00 model 2001 ported to python Based off of Dominik Brodowski 20100516 version available here http://www.brodo.de/english/pub/nrlmsise/ This is the main program that contains all the functions The MIT License (MIT) Copyright (c) 2016 Joshua Milas Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. /* -------------------------------------------------------------------- */ /* --------- N R L M S I S E - 0 0 M O D E L 2 0 0 1 ---------- */ /* -------------------------------------------------------------------- */ /* This file is part of the NRLMSISE-00 C source code package - release * 20041227 * * The NRLMSISE-00 model was developed by Mike Picone, Alan Hedin, and * Doug Drob. They also wrote a NRLMSISE-00 distribution package in * FORTRAN which is available at * http://uap-www.nrl.navy.mil/models_web/msis/msis_home.htm * * Dominik Brodowski implemented and maintains this C version. You can * reach him at mail@brodo.de. See the file "DOCUMENTATION" for details, * and check http://www.brodo.de/english/pub/nrlmsise/index.html for * updated releases of this package. */ """ from __future__ import division from .nrlmsise_00_header import * from .nrlmsise_00_data import * from math import sin, cos, pow, exp, log, sqrt __all__ = ['gtd7'] """ /* ------------------------------------------------------------------- */ /* ------------------------- SHARED VARIABLES ------------------------ */ /* ------------------------------------------------------------------- */ """ #/* PARMB */ gsurf = [0.0]; re_nrlmsise_00 = [0.0]; #/* GTS3C */ dd = 0.0; #/* DMIX */ dm04 = 0.0 dm16 = 0.0 dm28 = 0.0 dm32 = 0.0 dm40 = 0.0 dm01 = 0.0 dm14 = 0.0 #/* MESO7 */ meso_tn1 = [0.0]*5; meso_tn2 = [0.0]*4; meso_tn3 = [0.0]*5; meso_tgn1 = [0.0, 0.0]; meso_tgn2 = [0.0, 0.0]; meso_tgn3 = [0.0, 0.0]; #/* POWER7 */ #/* LOWER7 */ #Dont to need to do anyt of the externs, they are all here #/* LPOLY */ dfa = 0.0 plg = [[0.0 for _ in range(9)] for _ in range(4)] ctloc = 0.0 stloc = 0.0 c2tloc = 0.0 s2tloc = 0.0 s3tloc = 0.0 c3tloc = 0.0 apdf = 0.0 apt = [0.0]*4 #since rgas is used eerywehre usignthe same variable, ill make it glboal #rgas = 831.44621 #rgas = 831.4 """ /* ------------------------------------------------------------------- */ /* ------------------------------ TSELEC ----------------------------- */ /* ------------------------------------------------------------------- */ """ def tselec(flags): for i in range(24): if(i != 9): if(flags.switches[i]==1): flags.sw[i]=1 else: flags.sw[i]=0 if(flags.switches[i]>0): flags.swc[i]=1 else: flags.swc[i]=0 else: flags.sw[i]=flags.switches[i] flags.swc[i]=flags.switches[i] return """ /* ------------------------------------------------------------------- */ /* ------------------------------ GLATF ------------------------------ */ /* ------------------------------------------------------------------- */ """ def glatf(lat, gv, reff): dgtr = 1.74533E-2 c2 = cos(2.0*dgtr*lat) #Need to return these since the c program wants pointers to these gv[0] = 980.616 * (1.0 - 0.0026373 * c2) reff[0] = 2.0 * (gv[0]) / (3.085462E-6 + 2.27E-9 * c2) * 1.0E-5 #The may-be troubled line return #gv, rref """ /* ------------------------------------------------------------------- */ /* ------------------------------ CCOR ------------------------------- */ /* ------------------------------------------------------------------- */ """ def ccor(alt, r, h1, zh): """ /* CHEMISTRY/DISSOCIATION CORRECTION FOR MSIS MODELS * ALT - altitude * R - target ratio * H1 - transition scale length * ZH - altitude of 1/2 R */ """ e = (alt - zh) / h1 if(e>70.0): return 1.0 # exp(0) # pragma: no cover elif (e < -70.0): return exp(r) ex = exp(e) e = r / (1.0 + ex) return exp(e) ''' /* ------------------------------------------------------------------- */ /* ------------------------------ CCOR ------------------------------- */ /* ------------------------------------------------------------------- */ ''' def ccor2(alt, r, h1, zh, h2): ''' /* CHEMISTRY/DISSOCIATION CORRECTION FOR MSIS MODELS * ALT - altitude * R - target ratio * H1 - transition scale length * ZH - altitude of 1/2 R * H2 - transition scale length #2 ? */ ''' e1 = (alt - zh) / h1; e2 = (alt - zh) / h2; if ((e1 > 70.0) or (e2 > 70)): # pragma: no cover return 1.0 # exp(0) if ((e1 < -70) and (e2 < -70)): # pragma: no cover return exp(r) ex1 = exp(e1); ex2 = exp(e2); ccor2v = r / (1.0 + 0.5 * (ex1 + ex2)); return exp(ccor2v); """ /* ------------------------------------------------------------------- */ /* ------------------------------- SCALH ----------------------------- */ /* ------------------------------------------------------------------- */ """ def scalh(alt, xm, temp): #rgas = 831.44621 #maybe make this a global constant? rgas = 831.4 g = gsurf[0] / (pow( (1.0 + alt/re_nrlmsise_00[0]),2.0)) g = rgas * temp / (g * xm) return g ''' /* ------------------------------------------------------------------- */ /* -------------------------------- DNET ----------------------------- */ /* ------------------------------------------------------------------- */ ''' def dnet(dd, dm, zhm, xmm, xm): ''' /* TURBOPAUSE CORRECTION FOR MSIS MODELS * Root mean density * DD - diffusive density * DM - full mixed density * ZHM - transition scale length * XMM - full mixed molecular weight * XM - species molecular weight * DNET - combined density */ ''' a = zhm / (xmm-xm) if( not((dm>0) and (dd>0))): # pragma: no cover if((dd==0) and (dm==0)): dd=1 if(dm==0): return dd if(dd==0): return dm ylog = a * log(dm/dd) if(ylog < -10.0): return dd if(ylog>10.0): # pragma: no cover return dm a = dd*pow((1.0 + exp(ylog)),(1.0/a)) return a ''' /* ------------------------------------------------------------------- */ /* ------------------------------- SPLINI ---------------------------- */ /* ------------------------------------------------------------------- */ ''' def splini(xa, ya, y2a, n, x, y): ''' /* INTEGRATE CUBIC SPLINE FUNCTION FROM XA(1) TO X * XA,YA: ARRAYS OF TABULATED FUNCTION IN ASCENDING ORDER BY X * Y2A: ARRAY OF SECOND DERIVATIVES * N: SIZE OF ARRAYS XA,YA,Y2A * X: ABSCISSA ENDPOINT FOR INTEGRATION * Y: OUTPUT VALUE */ ''' yi = 0 klo = 0 khi = 1 while((x>xa[klo]) and (khi1): k=int((khi+klo)/2); if (xa[k]>x): khi = k else: klo = k h = xa[khi] - xa[klo]; a = (xa[khi] - x)/h; b = (x - xa[klo])/h; yi = a * ya[klo] + b * ya[khi] + ((a*a*a - a) * y2a[klo] + (b*b*b - b) * y2a[khi]) * h * h/6.0; y[0] = yi #may not need this return #yi #or this ''' /* ------------------------------------------------------------------- */ /* ------------------------------- SPLINE ---------------------------- */ /* ------------------------------------------------------------------- */ ''' def spline(x, y, n, yp1, ypn, y2): ''' /* CALCULATE 2ND DERIVATIVES OF CUBIC SPLINE INTERP FUNCTION * ADAPTED FROM NUMERICAL RECIPES BY PRESS ET AL * X,Y: ARRAYS OF TABULATED FUNCTION IN ASCENDING ORDER BY X * N: SIZE OF ARRAYS X,Y * YP1,YPN: SPECIFIED DERIVATIVES AT X[0] AND X[N-1]; VALUES * >= 1E30 SIGNAL SIGNAL SECOND DERIVATIVE ZERO * Y2: OUTPUT ARRAY OF SECOND DERIVATIVES */ ''' u = [0.0]*n #I think this is the same as malloc #no need for the out of memory if (yp1 > 0.99E30): # pragma: no cover y2[0] = 0 u[0] = 0 else: y2[0]=-0.5 u[0]=(3.0/(x[1]-x[0]))*((y[1]-y[0])/(x[1]-x[0])-yp1) for i in range(1, n-1): sig = (x[i]-x[i-1])/(x[i+1] - x[i-1]) p = sig * y2[i-1] + 2.0 y2[i] = (sig - 1.0) / p u[i] = (6.0 * ((y[i+1] - y[i])/(x[i+1] - x[i]) -(y[i] - y[i-1]) / (x[i] - x[i-1]))/(x[i+1] - x[i-1]) - sig * u[i-1])/p; if (ypn>0.99E30): # pragma: no cover qn = 0; un = 0 else: qn = 0.5 un = (3.0 / (x[n-1] - x[n-2])) * (ypn - (y[n-1] - y[n-2])/(x[n-1] - x[n-2])); y2[n-1] = (un - qn * u[n-2]) / (qn * y2[n-2] + 1.0); #it uses a for loop here, but its not something python can do (I dont think) k = n-2 while(k >= 0): y2[k] = y2[k] * y2[k+1] + u[k] k -= 1 #This for loop might work #for k in range(n-2, -1, -1): # y2[k] = y2[k] * y2[k+1] + u[k] #no need to free u here return ''' /* ------------------------------------------------------------------- */ /* ------------------------------- DENSM ----------------------------- */ /* ------------------------------------------------------------------- */ ''' def zeta(zz, zl): return ((zz-zl)*(re_nrlmsise_00[0]+zl)/(re_nrlmsise_00[0]+zz)) #re is the global variable def densm(alt, d0, xm, tz, mn3, zn3, tn3, tgn3, mn2, zn2, tn2, tgn2): ''' /* Calculate Temperature and Density Profiles for lower atmos. */ ''' xs = [0.0]*10 ys = [0.0]*10 y2out = [0.0]*10 rgas = 831.4 #rgas = 831.44621 #maybe make this a global constant? densm_tmp=d0 if (alt>zn2[0]): # pragma: no cover if(xm==0.0): return tz[0] else: return d0 #/* STRATOSPHERE/MESOSPHERE TEMPERATURE */ if (alt>zn2[mn2-1]): z=alt else: z=zn2[mn2-1]; mn=mn2; z1=zn2[0]; z2=zn2[mn-1]; t1=tn2[0]; t2=tn2[mn-1]; zg = zeta(z, z1); zgdif = zeta(z2, z1); #/* set up spline nodes */ for k in range(mn): xs[k]=zeta(zn2[k],z1)/zgdif; ys[k]=1.0 / tn2[k]; yd1=-tgn2[0] / (t1*t1) * zgdif; yd2=-tgn2[1] / (t2*t2) * zgdif * (pow(((re_nrlmsise_00[0]+z2)/(re_nrlmsise_00[0]+z1)),2.0)); #/* calculate spline coefficients */ spline (xs, ys, mn, yd1, yd2, y2out); #No need to change this x = zg/zgdif; y = [0.0] splint (xs, ys, y2out, mn, x, y); #/* temperature at altitude */ tz[0] = 1.0 / y[0]; if (xm!=0.0): #/* calaculate stratosphere / mesospehere density */ glb = gsurf[0] / (pow((1.0 + z1/re_nrlmsise_00[0]),2.0)); gamm = xm * glb * zgdif / rgas; #/* Integrate temperature profile */ yi = [0.0] splini(xs, ys, y2out, mn, x, yi); expl=gamm*yi[0]; if (expl>50.0): # pragma: no cover expl=50.0 #/* Density at altitude */ densm_tmp = densm_tmp * (t1 / tz[0]) * exp(-expl); if (alt>zn3[0]): if (xm==0.0): return tz[0] else: return densm_tmp #/* troposhere / stratosphere temperature */ z = alt; mn = mn3; z1=zn3[0]; z2=zn3[mn-1]; t1=tn3[0]; t2=tn3[mn-1]; zg=zeta(z,z1); zgdif=zeta(z2,z1); #/* set up spline nodes */ for k in range(mn): xs[k] = zeta(zn3[k],z1) / zgdif; ys[k] = 1.0 / tn3[k]; yd1=-tgn3[0] / (t1*t1) * zgdif; yd2=-tgn3[1] / (t2*t2) * zgdif * (pow(((re_nrlmsise_00[0]+z2)/(re_nrlmsise_00[0]+z1)),2.0)); #/* calculate spline coefficients */ spline (xs, ys, mn, yd1, yd2, y2out); x = zg/zgdif; y = [0.0] splint (xs, ys, y2out, mn, x, y); #/* temperature at altitude */ tz[0] = 1.0 / y[0]; if (xm!=0.0): #/* calaculate tropospheric / stratosphere density */ glb = gsurf[0] / (pow((1.0 + z1/re_nrlmsise_00[0]),2.0)); gamm = xm * glb * zgdif / rgas; #/* Integrate temperature profile */ yi = [0.0] splini(xs, ys, y2out, mn, x, yi); expl=gamm*yi[0]; if (expl>50.0): # pragma: no cover expl=50.0; #/* Density at altitude */ densm_tmp = densm_tmp * (t1 / tz[0]) * exp(-expl); if (xm==0.0): return tz[0]; else: return densm_tmp; ''' /* ------------------------------------------------------------------- */ /* ------------------------------- DENSU ----------------------------- */ /* ------------------------------------------------------------------- */ ''' def densu(alt, dlb, tinf, tlb, xm, alpha, tz, zlb, s2, mn1, zn1, tn1, tgn1): ''' /* Calculate Temperature and Density Profiles for MSIS models * New lower thermo polynomial */ tz, zn1, tn1, and tgn1 are simulated pointers ''' rgas = 831.4 #rgas = 831.44621 #maybe make this a global constant? densu_temp = 1.0 xs = [0.0]*5 ys = [0.0]*5 y2out = [0.0]*5 #/* joining altitudes of Bates and spline */ za=zn1[0]; if (alt>za): z=alt; else: z=za; #/* geopotential altitude difference from ZLB */ zg2 = zeta(z, zlb); #/* Bates temperature */ tt = tinf - (tinf - tlb) * exp(-s2*zg2); ta = tt; tz[0] = tt densu_temp = tz[0] if (altzn1[mn1-1]): z=alt; else: z=zn1[mn1-1]; mn=mn1; z1=zn1[0]; z2=zn1[mn-1]; t1=tn1[0]; t2=tn1[mn-1]; #/* geopotental difference from z1 */ zg = zeta (z, z1); zgdif = zeta(z2, z1); #/* set up spline nodes */ for k in range(mn): xs[k] = zeta(zn1[k], z1) / zgdif; ys[k] = 1.0 / tn1[k]; #/* end node derivatives */ yd1 = -tgn1[0] / (t1*t1) * zgdif; yd2 = -tgn1[1] / (t2*t2) * zgdif * pow(((re_nrlmsise_00[0]+z2)/(re_nrlmsise_00[0]+z1)),2.0); #/* calculate spline coefficients */ spline (xs, ys, mn, yd1, yd2, y2out); x = zg / zgdif; y = [0.0] splint (xs, ys, y2out, mn, x, y); #/* temperature at altitude */ tz[0] = 1.0 / y[0]; densu_temp = tz[0]; if (xm==0): return densu_temp; #/* calculate density above za */ glb = gsurf[0] / pow((1.0 + zlb/re_nrlmsise_00[0]),2.0); gamma = xm * glb / (s2 * rgas * tinf); expl = exp(-s2 * gamma * zg2); if (expl>50.0): # pragma: no cover expl=50.0; if (tt<=0): # pragma: no cover expl=50.0; #/* density at altitude */ densa = dlb * pow((tlb/tt),((1.0+alpha+gamma))) * expl; densu_temp=densa; if (alt>=za): return densu_temp; #/* calculate density below za */ glb = gsurf[0] / pow((1.0 + z1/re_nrlmsise_00[0]),2.0); gamm = xm * glb * zgdif / rgas; #/* integrate spline temperatures */ yi = [0] splini (xs, ys, y2out, mn, x, yi); expl = gamm * yi[0]; if (expl>50.0): # pragma: no cover expl=50.0; if (tz[0]<=0): # pragma: no cover expl=50.0; #/* density at altitude */ densu_temp = densu_temp * pow ((t1 / tz[0]),(1.0 + alpha)) * exp(-expl); return densu_temp; ''' /* ------------------------------------------------------------------- */ /* ------------------------------- GLOBE7 ---------------------------- */ /* ------------------------------------------------------------------- */ ''' #/* 3hr Magnetic activity functions */ #/* Eq. A24d */ def g0_nrlmsise00(a, p): return (a - 4.0 + (p[25] - 1.0) * (a - 4.0 + (exp(-sqrt(p[24]*p[24]) * (a - 4.0)) - 1.0) / sqrt(p[24]*p[24]))); #/* Eq. A24c */ def sumex(ex): return (1.0 + (1.0 - pow(ex,19.0)) / (1.0 - ex) * pow(ex,0.5)); #/* Eq. A24a */ def sg0(ex, p, ap): return (g0_nrlmsise00(ap[1], p) + (g0_nrlmsise00(ap[2], p)*ex + g0_nrlmsise00(ap[3], p)*ex*ex + \ g0_nrlmsise00(ap[4], p)*pow(ex, 3.0) + (g0_nrlmsise00(ap[5], p)*pow(ex, 4.0) + \ g0_nrlmsise00(ap[6], p)*pow(ex, 12.0))*(1.0 - pow(ex, 8.0))/(1.0 - ex)))/sumex(ex); def globe7(p, Input, flags): ''' /* CALCULATE G(L) FUNCTION * Upper Thermosphere Parameters */ ''' t = [0]*15 #modified this, there was a for loop that did this sw9 = 1 sr = 7.2722E-5; dgtr = 1.74533E-2; dr = 1.72142E-2; hr = 0.2618; tloc = Input.lst #for j in range(14): # t[j] = 0 if(flags.sw[9] > 0): sw9 = 1 elif(flags.sw[9] < 0): # pragma: no cover sw9 = -1 xlong = Input.g_long #/* calculate legendre polynomials */ c = sin(Input.g_lat * dgtr); s = cos(Input.g_lat * dgtr); c2 = c*c; c4 = c2*c2; s2 = s*s; plg[0][1] = c; plg[0][2] = 0.5*(3.0*c2 -1.0); plg[0][3] = 0.5*(5.0*c*c2-3.0*c); plg[0][4] = (35.0*c4 - 30.0*c2 + 3.0)/8.0; plg[0][5] = (63.0*c2*c2*c - 70.0*c2*c + 15.0*c)/8.0; plg[0][6] = (11.0*c*plg[0][5] - 5.0*plg[0][4])/6.0; #/* plg[0][7] = (13.0*c*plg[0][6] - 6.0*plg[0][5])/7.0; */ plg[1][1] = s; plg[1][2] = 3.0*c*s; plg[1][3] = 1.5*(5.0*c2-1.0)*s; plg[1][4] = 2.5*(7.0*c2*c-3.0*c)*s; plg[1][5] = 1.875*(21.0*c4 - 14.0*c2 +1.0)*s; plg[1][6] = (11.0*c*plg[1][5]-6.0*plg[1][4])/5.0; #/* plg[1][7] = (13.0*c*plg[1][6]-7.0*plg[1][5])/6.0; */ #/* plg[1][8] = (15.0*c*plg[1][7]-8.0*plg[1][6])/7.0; */ plg[2][2] = 3.0*s2; plg[2][3] = 15.0*s2*c; plg[2][4] = 7.5*(7.0*c2 -1.0)*s2; plg[2][5] = 3.0*c*plg[2][4]-2.0*plg[2][3]; plg[2][6] =(11.0*c*plg[2][5]-7.0*plg[2][4])/4.0; plg[2][7] =(13.0*c*plg[2][6]-8.0*plg[2][5])/5.0; plg[3][3] = 15.0*s2*s; plg[3][4] = 105.0*s2*s*c; plg[3][5] =(9.0*c*plg[3][4]-7.*plg[3][3])/2.0; plg[3][6] =(11.0*c*plg[3][5]-8.*plg[3][4])/3.0; if( not (((flags.sw[7]==0) and (flags.sw[8]==0)) and (flags.sw[14] == 0))): global stloc stloc = sin(hr*tloc); global ctloc ctloc = cos(hr*tloc); global s2tloc s2tloc = sin(2.0*hr*tloc); global c2tloc c2tloc = cos(2.0*hr*tloc); global s3tloc s3tloc = sin(3.0*hr*tloc); global c3tloc c3tloc = cos(3.0*hr*tloc); cd32 = cos(dr*(Input.doy-p[31])); cd18 = cos(2.0*dr*(Input.doy-p[17])); cd14 = cos(dr*(Input.doy-p[13])); cd39 = cos(2.0*dr*(Input.doy-p[38])); p32=p[31]; p18=p[17]; p14=p[13]; p39=p[38]; #/* F10.7 EFFECT */ df = Input.f107 - Input.f107A; global dfa dfa = Input.f107A - 150.0; t[0] = p[19]*df*(1.0+p[59]*dfa) + p[20]*df*df + p[21]*dfa + p[29]*pow(dfa,2.0); f1 = 1.0 + (p[47]*dfa +p[19]*df+p[20]*df*df)*flags.swc[1]; f2 = 1.0 + (p[49]*dfa+p[19]*df+p[20]*df*df)*flags.swc[1]; #/* TIME INDEPENDENT */ t[1] = (p[1]*plg[0][2]+ p[2]*plg[0][4]+p[22]*plg[0][6]) + \ (p[14]*plg[0][2])*dfa*flags.swc[1] +p[26]*plg[0][1]; #/* SYMMETRICAL ANNUAL */ t[2] = p[18]*cd32; #/* SYMMETRICAL SEMIANNUAL */ t[3] = (p[15]+p[16]*plg[0][2])*cd18; #/* ASYMMETRICAL ANNUAL */ t[4] = f1*(p[9]*plg[0][1]+p[10]*plg[0][3])*cd14; #/* ASYMMETRICAL SEMIANNUAL */ t[5] = p[37]*plg[0][1]*cd39; #/* DIURNAL */ if (flags.sw[7]): t71 = (p[11]*plg[1][2])*cd14*flags.swc[5]; t72 = (p[12]*plg[1][2])*cd14*flags.swc[5]; t[6] = f2*((p[3]*plg[1][1] + p[4]*plg[1][3] + p[27]*plg[1][5] + t71) * \ ctloc + (p[6]*plg[1][1] + p[7]*plg[1][3] + p[28]*plg[1][5] \ + t72)*stloc); #/* SEMIDIURNAL */ if (flags.sw[8]): t81 = (p[23]*plg[2][3]+p[35]*plg[2][5])*cd14*flags.swc[5]; t82 = (p[33]*plg[2][3]+p[36]*plg[2][5])*cd14*flags.swc[5]; t[7] = f2*((p[5]*plg[2][2]+ p[41]*plg[2][4] + t81)*c2tloc +(p[8]*plg[2][2] + p[42]*plg[2][4] + t82)*s2tloc); #/* TERDIURNAL */ if (flags.sw[14]): t[13] = f2 * ((p[39]*plg[3][3]+(p[93]*plg[3][4]+p[46]*plg[3][6])*cd14*flags.swc[5])* s3tloc +(p[40]*plg[3][3]+(p[94]*plg[3][4]+p[48]*plg[3][6])*cd14*flags.swc[5])* c3tloc); #/* magnetic activity based on daily ap */ if (flags.sw[9]==-1): ap = Input.ap_a; if (p[51]!=0): exp1 = exp(-10800.0*sqrt(p[51]*p[51])/(1.0+p[138]*(45.0-sqrt(Input.g_lat*Input.g_lat)))); if (exp1>0.99999): # pragma: no cover exp1=0.99999; if (p[24]<1.0E-4): # pragma: no cover p[24]=1.0E-4; apt[0]=sg0(exp1,p,ap.a); #/* apt[1]=sg2(exp1,p,ap->a); # apt[2]=sg0(exp2,p,ap->a); # apt[3]=sg2(exp2,p,ap->a); #*/ if (flags.sw[9]): t[8] = apt[0]*(p[50]+p[96]*plg[0][2]+p[54]*plg[0][4]+ \ (p[125]*plg[0][1]+p[126]*plg[0][3]+p[127]*plg[0][5])*cd14*flags.swc[5]+ \ (p[128]*plg[1][1]+p[129]*plg[1][3]+p[130]*plg[1][5])*flags.swc[7]* \ cos(hr*(tloc-p[131]))); else: apd=Input.ap-4.0; p44=p[43]; p45=p[44]; if (p44<0): # pragma: no cover p44 = 1.0E-5; global apdf apdf = apd + (p45-1.0)*(apd + (exp(-p44 * apd) - 1.0)/p44); if (flags.sw[9]): t[8]=apdf*(p[32]+p[45]*plg[0][2]+p[34]*plg[0][4]+ \ (p[100]*plg[0][1]+p[101]*plg[0][3]+p[102]*plg[0][5])*cd14*flags.swc[5]+ (p[121]*plg[1][1]+p[122]*plg[1][3]+p[123]*plg[1][5])*flags.swc[7]* cos(hr*(tloc-p[124]))); if ((flags.sw[10]) and (Input.g_long>-1000.0)): #/* longitudinal */ if (flags.sw[11]): t[10] = (1.0 + p[80]*dfa*flags.swc[1])* \ ((p[64]*plg[1][2]+p[65]*plg[1][4]+p[66]*plg[1][6]\ +p[103]*plg[1][1]+p[104]*plg[1][3]+p[105]*plg[1][5]\ +flags.swc[5]*(p[109]*plg[1][1]+p[110]*plg[1][3]+p[111]*plg[1][5])*cd14)* \ cos(dgtr*Input.g_long) \ +(p[90]*plg[1][2]+p[91]*plg[1][4]+p[92]*plg[1][6]\ +p[106]*plg[1][1]+p[107]*plg[1][3]+p[108]*plg[1][5]\ +flags.swc[5]*(p[112]*plg[1][1]+p[113]*plg[1][3]+p[114]*plg[1][5])*cd14)* \ sin(dgtr*Input.g_long)); #/* ut and mixed ut, longitude */ if (flags.sw[12]): t[11]=(1.0+p[95]*plg[0][1])*(1.0+p[81]*dfa*flags.swc[1])*\ (1.0+p[119]*plg[0][1]*flags.swc[5]*cd14)*\ ((p[68]*plg[0][1]+p[69]*plg[0][3]+p[70]*plg[0][5])*\ cos(sr*(Input.sec-p[71]))); t[11]+=flags.swc[11]*\ (p[76]*plg[2][3]+p[77]*plg[2][5]+p[78]*plg[2][7])*\ cos(sr*(Input.sec-p[79])+2.0*dgtr*Input.g_long)*(1.0+p[137]*dfa*flags.swc[1]); #/* ut, longitude magnetic activity */ if (flags.sw[13]): if (flags.sw[9]==-1): if (p[51]): t[12]=apt[0]*flags.swc[11]*(1.+p[132]*plg[0][1])*\ ((p[52]*plg[1][2]+p[98]*plg[1][4]+p[67]*plg[1][6])*\ cos(dgtr*(Input.g_long-p[97])))\ +apt[0]*flags.swc[11]*flags.swc[5]*\ (p[133]*plg[1][1]+p[134]*plg[1][3]+p[135]*plg[1][5])*\ cd14*cos(dgtr*(Input.g_long-p[136])) \ +apt[0]*flags.swc[12]* \ (p[55]*plg[0][1]+p[56]*plg[0][3]+p[57]*plg[0][5])*\ cos(sr*(Input.sec-p[58])); else: t[12] = apdf*flags.swc[11]*(1.0+p[120]*plg[0][1])*\ ((p[60]*plg[1][2]+p[61]*plg[1][4]+p[62]*plg[1][6])*\ cos(dgtr*(Input.g_long-p[63])))\ +apdf*flags.swc[11]*flags.swc[5]* \ (p[115]*plg[1][1]+p[116]*plg[1][3]+p[117]*plg[1][5])* \ cd14*cos(dgtr*(Input.g_long-p[118])) \ + apdf*flags.swc[12]* \ (p[83]*plg[0][1]+p[84]*plg[0][3]+p[85]*plg[0][5])* \ cos(sr*(Input.sec-p[75])); #/* parms not used: 82, 89, 99, 139-149 */ tinf = p[30]; for i in range(14): tinf = tinf + abs(flags.sw[i+1])*t[i]; return tinf; ''' /* ------------------------------------------------------------------- */ /* ------------------------------- GLOB7S ---------------------------- */ /* ------------------------------------------------------------------- */ ''' def glob7s(p, Input, flags): ''' /* VERSION OF GLOBE FOR LOWER ATMOSPHERE 10/26/99 */ ''' pset = 2.0 t = [0.0]*14 dr=1.72142E-2; dgtr=1.74533E-2; #/* confirm parameter set */ if (p[99]==0): # pragma: no cover p[99]=pset; #for j in range(14): #Already taken care of # t[j]=0.0; cd32 = cos(dr*(Input.doy-p[31])); cd18 = cos(2.0*dr*(Input.doy-p[17])); cd14 = cos(dr*(Input.doy-p[13])); cd39 = cos(2.0*dr*(Input.doy-p[38])); p32=p[31]; p18=p[17]; p14=p[13]; p39=p[38]; #/* F10.7 */ t[0] = p[21]*dfa; #/* time independent */ t[1]=p[1]*plg[0][2] + p[2]*plg[0][4] + p[22]*plg[0][6] + p[26]*plg[0][1] + p[14]*plg[0][3] + p[59]*plg[0][5]; #/* SYMMETRICAL ANNUAL */ t[2]=(p[18]+p[47]*plg[0][2]+p[29]*plg[0][4])*cd32; #/* SYMMETRICAL SEMIANNUAL */ t[3]=(p[15]+p[16]*plg[0][2]+p[30]*plg[0][4])*cd18; #/* ASYMMETRICAL ANNUAL */ t[4]=(p[9]*plg[0][1]+p[10]*plg[0][3]+p[20]*plg[0][5])*cd14; #/* ASYMMETRICAL SEMIANNUAL */ t[5]=(p[37]*plg[0][1])*cd39; #/* DIURNAL */ if (flags.sw[7]): t71 = p[11]*plg[1][2]*cd14*flags.swc[5]; t72 = p[12]*plg[1][2]*cd14*flags.swc[5]; t[6] = ((p[3]*plg[1][1] + p[4]*plg[1][3] + t71) * ctloc + (p[6]*plg[1][1] + p[7]*plg[1][3] + t72) * stloc) ; #/* SEMIDIURNAL */ if (flags.sw[8]): t81 = (p[23]*plg[2][3]+p[35]*plg[2][5])*cd14*flags.swc[5]; t82 = (p[33]*plg[2][3]+p[36]*plg[2][5])*cd14*flags.swc[5]; t[7] = ((p[5]*plg[2][2] + p[41]*plg[2][4] + t81) * c2tloc + (p[8]*plg[2][2] + p[42]*plg[2][4] + t82) * s2tloc); #/* TERDIURNAL */ if (flags.sw[14]): t[13] = p[39] * plg[3][3] * s3tloc + p[40] * plg[3][3] * c3tloc; #/* MAGNETIC ACTIVITY */ if (flags.sw[9]): if (flags.sw[9]==1): t[8] = apdf * (p[32] + p[45] * plg[0][2] * flags.swc[2]); if (flags.sw[9]==-1): t[8]=(p[50]*apt[0] + p[96]*plg[0][2] * apt[0]*flags.swc[2]); #/* LONGITUDINAL */ if ( not((flags.sw[10]==0) or (flags.sw[11]==0) or (Input.g_long<=-1000.0))): t[10] = (1.0 + plg[0][1]*(p[80]*flags.swc[5]*cos(dr*(Input.doy-p[81]))\ +p[85]*flags.swc[6]*cos(2.0*dr*(Input.doy-p[86])))\ +p[83]*flags.swc[3]*cos(dr*(Input.doy-p[84]))\ +p[87]*flags.swc[4]*cos(2.0*dr*(Input.doy-p[88])))\ *((p[64]*plg[1][2]+p[65]*plg[1][4]+p[66]*plg[1][6]\ +p[74]*plg[1][1]+p[75]*plg[1][3]+p[76]*plg[1][5]\ )*cos(dgtr*Input.g_long)\ +(p[90]*plg[1][2]+p[91]*plg[1][4]+p[92]*plg[1][6]\ +p[77]*plg[1][1]+p[78]*plg[1][3]+p[79]*plg[1][5]\ )*sin(dgtr*Input.g_long)); tt=0; for i in range(14): tt+=abs(flags.sw[i+1])*t[i]; return tt; ''' /* ------------------------------------------------------------------- */ /* ------------------------------- GTD7 ------------------------------ */ /* ------------------------------------------------------------------- */ ''' def gtd7(Input, flags, output): """The standard model subroutine (GTD7) always computes the. ‘‘thermospheric’’ mass density by explicitly summing the masses of the species in equilibrium at the thermospheric temperature T(z). """ mn3 = 5 zn3 = [32.5,20.0,15.0,10.0,0.0] mn2 = 4 zn2 = [72.5,55.0,45.0,32.5] zmix = 62.5 soutput = nrlmsise_output() tselec(flags); #/* Latitude variation of gravity (none for sw[2]=0) */ xlat=Input.g_lat; if (flags.sw[2]==0): # pragma: no cover xlat=45.0; glatf(xlat, gsurf, re_nrlmsise_00); xmm = pdm[2][4]; #/* THERMOSPHERE / MESOSPHERE (above zn2[0]) */ if (Input.alt>zn2[0]): altt=Input.alt; else: altt=zn2[0]; tmp=Input.alt; Input.alt=altt; gts7(Input, flags, soutput); altt=Input.alt; Input.alt=tmp; if (flags.sw[0]): # pragma: no cover #/* metric adjustment */ dm28m= dm28*1.0E6; else: dm28m = dm28; output.t[0]=soutput.t[0]; output.t[1]=soutput.t[1]; if (Input.alt>=zn2[0]): for i in range(9): output.d[i]=soutput.d[i]; return #/* LOWER MESOSPHERE/UPPER STRATOSPHERE (between zn3[0] and zn2[0]) #* Temperature at nodes and gradients at end nodes #* Inverse temperature a linear function of spherical harmonics #*/ meso_tgn2[0]=meso_tgn1[1]; meso_tn2[0]=meso_tn1[4]; meso_tn2[1]=pma[0][0]*pavgm[0]/(1.0-flags.sw[20]*glob7s(pma[0], Input, flags)); meso_tn2[2]=pma[1][0]*pavgm[1]/(1.0-flags.sw[20]*glob7s(pma[1], Input, flags)); meso_tn2[3]=pma[2][0]*pavgm[2]/(1.0-flags.sw[20]*flags.sw[22]*glob7s(pma[2], Input, flags)); meso_tgn2[1]=pavgm[8]*pma[9][0]*(1.0+flags.sw[20]*flags.sw[22]*glob7s(pma[9], Input, flags))*meso_tn2[3]*meso_tn2[3]/(pow((pma[2][0]*pavgm[2]),2.0)); meso_tn3[0]=meso_tn2[3]; if (Input.altzmix): dmc = 1.0 - (zn2[0]-Input.alt)/(zn2[0] - zmix); dz28=soutput.d[2]; #/**** N2 density ****/ dmr=soutput.d[2] / dm28m - 1.0; tz = [0.0] output.d[2]=densm(Input.alt,dm28m,xmm, tz, mn3, zn3, meso_tn3, meso_tgn3, mn2, zn2, meso_tn2, meso_tgn2); output.d[2]=output.d[2] * (1.0 + dmr*dmc); #/**** HE density ****/ dmr = soutput.d[0] / (dz28 * pdm[0][1]) - 1.0; output.d[0] = output.d[2] * pdm[0][1] * (1.0 + dmr*dmc); #/**** O density ****/ output.d[1] = 0; output.d[8] = 0; #/**** O2 density ****/ dmr = soutput.d[3] / (dz28 * pdm[3][1]) - 1.0; output.d[3] = output.d[2] * pdm[3][1] * (1.0 + dmr*dmc); #/**** AR density ***/ dmr = soutput.d[4] / (dz28 * pdm[4][1]) - 1.0; output.d[4] = output.d[2] * pdm[4][1] * (1.0 + dmr*dmc); #/**** Hydrogen density ****/ output.d[6] = 0; #/**** Atomic nitrogen density ****/ output.d[7] = 0; #/**** Total mass density */ output.d[5] = 1.66E-24 * (4.0 * output.d[0] + 16.0 * output.d[1] + 28.0 * output.d[2] + 32.0 * output.d[3] + 40.0 * output.d[4] + output.d[6] + 14.0 * output.d[7]); if (flags.sw[0]): # pragma: no cover output.d[5]=output.d[5]/1000; #/**** temperature at altitude ****/ global dd dd = densm(Input.alt, 1.0, 0, tz, mn3, zn3, meso_tn3, meso_tgn3, mn2, zn2, meso_tn2, meso_tgn2); output.t[1]=tz[0]; return ''' /* ------------------------------------------------------------------- */ /* ------------------------------- GTD7D ----------------------------- */ /* ------------------------------------------------------------------- */ ''' def gtd7d(Input, flags, output): # pragma: no cover """A separate subroutine (GTD7D) computes the ‘‘effec- tive’’ mass density by summing the thermospheric mass density and the mass density of the anomalous oxygen component. Below 500 km, the effective mass density is equivalent to the thermospheric mass density, and we drop the distinction. """ gtd7(Input, flags, output) output.d[5] = 1.66E-24 * (4.0 * output.d[0] + 16.0 * output.d[1] + 28.0 * output.d[2] + 32.0 * output.d[3] + 40.0 * output.d[4] + output.d[6] + 14.0 * output.d[7] + 16.0 * output.d[8]); if (flags.sw[0]): output.d[5]=output.d[5]/1000; return ''' /* ------------------------------------------------------------------- */ /* -------------------------------- GHP7 ----------------------------- */ /* ------------------------------------------------------------------- */ ''' def ghp7(Input, flags, output, press): # pragma: no cover bm = 1.3806E-19; rgas = 831.4; #rgas = 831.44621 #maybe make this a global constant? test = 0.00043; ltest = 12; pl = log10(press) if (pl >= -5.0): if (pl>2.5): zi = 18.06 * (3.00 - pl); elif ((pl>0.075) and (pl<=2.5)): zi = 14.98 * (3.08 - pl); elif ((pl>-1) and (pl<=0.075)): zi = 17.80 * (2.72 - pl); elif ((pl>-2) and (pl<=-1)): zi = 14.28 * (3.64 - pl); elif ((pl>-4) and (pl<=-2)): zi = 12.72 * (4.32 -pl); elif (pl<=-4): zi = 25.3 * (0.11 - pl); cl = Input.g_lat/90.0; cl2 = cl*cl; if (Input.doy<182): cd = (1.0 - float(Input.doy)) / 91.25; else: cd = (float(Input.doy)) / 91.25 - 3.0; ca = 0; if ((pl > -1.11) and (pl<=-0.23)): ca = 1.0; if (pl > -0.23): ca = (2.79 - pl) / (2.79 + 0.23); if ((pl <= -1.11) and (pl>-3)): ca = (-2.93 - pl)/(-2.93 + 1.11); z = zi - 4.87 * cl * cd * ca - 1.64 * cl2 * ca + 0.31 * ca * cl; else: z = 22.0 * pow((pl + 4.0),2.0) + 110.0; #/* iteration loop */ l = 0; while(True): l += 1; Input.alt = z; gtd7(Input, flags, output); z = Input.alt; xn = output.d[0] + output.d[1] + output.d[2] + output.d[3] + output.d[4] + output.d[6] + output.d[7]; p = bm * xn * output.t[1]; if (flags.sw[0]): p = p*1.0E-6; diff = pl - log10(p); if (sqrt(diff*diff) 72.5 km! */ ''' zn1 = [120.0, 110.0, 100.0, 90.0, 72.5] mn1 = 5 dgtr=1.74533E-2; dr=1.72142E-2; alpha = [-0.38, 0.0, 0.0, 0.0, 0.17, 0.0, -0.38, 0.0, 0.0] altl = [200.0, 300.0, 160.0, 250.0, 240.0, 450.0, 320.0, 450.0] za = pdl[1][15]; zn1[0] = za; for j in range(9): output.d[j]=0; #/* TINF VARIATIONS NOT IMPORTANT BELOW ZA OR ZN1(1) */ if (Input.alt>zn1[0]): tinf = ptm[0]*pt[0] * \ (1.0+flags.sw[16]*globe7(pt,Input,flags)); else: tinf = ptm[0]*pt[0]; output.t[0]=tinf; #/* GRADIENT VARIATIONS NOT IMPORTANT BELOW ZN1(5) */ if (Input.alt>zn1[4]): g0 = ptm[3]*ps[0] * \ (1.0+flags.sw[19]*globe7(ps,Input,flags)); else: g0 = ptm[3]*ps[0]; tlb = ptm[1] * (1.0 + flags.sw[17]*globe7(pd[3],Input,flags))*pd[3][0]; s = g0 / (tinf - tlb); #/* Lower thermosphere temp variations not significant for # * density above 300 km */ if (Input.alt<300.0): meso_tn1[1]=ptm[6]*ptl[0][0]/(1.0-flags.sw[18]*glob7s(ptl[0], Input, flags)); meso_tn1[2]=ptm[2]*ptl[1][0]/(1.0-flags.sw[18]*glob7s(ptl[1], Input, flags)); meso_tn1[3]=ptm[7]*ptl[2][0]/(1.0-flags.sw[18]*glob7s(ptl[2], Input, flags)); meso_tn1[4]=ptm[4]*ptl[3][0]/(1.0-flags.sw[18]*flags.sw[20]*glob7s(ptl[3], Input, flags)); meso_tgn1[1]=ptm[8]*pma[8][0]*(1.0+flags.sw[18]*flags.sw[20]*glob7s(pma[8], Input, flags))*meso_tn1[4]*meso_tn1[4]/(pow((ptm[4]*ptl[3][0]),2.0)); else: meso_tn1[1]=ptm[6]*ptl[0][0]; meso_tn1[2]=ptm[2]*ptl[1][0]; meso_tn1[3]=ptm[7]*ptl[2][0]; meso_tn1[4]=ptm[4]*ptl[3][0]; meso_tgn1[1]=ptm[8]*pma[8][0]*meso_tn1[4]*meso_tn1[4]/(pow((ptm[4]*ptl[3][0]),2.0)); z0 = zn1[3]; t0 = meso_tn1[3]; tr12 = 1.0; #/* N2 variation factor at Zlb */ g28=flags.sw[21]*globe7(pd[2], Input, flags); #/* VARIATION OF TURBOPAUSE HEIGHT */ zhf=pdl[1][24]*(1.0+flags.sw[5]*pdl[0][24]*sin(dgtr*Input.g_lat)*cos(dr*(Input.doy-pt[13]))); output.t[0]=tinf; xmm = pdm[2][4]; z = Input.alt; #/**** N2 DENSITY ****/ #/* Diffusive density at Zlb */ db28 = pdm[2][0]*exp(g28)*pd[2][0]; #/* Diffusive density at Alt */ RandomVariable = [output.t[1]] output.d[2]=densu(z,db28,tinf,tlb,28.0,alpha[2],RandomVariable,ptm[5],s,mn1,zn1,meso_tn1,meso_tgn1); output.t[1] = RandomVariable[0] dd=output.d[2]; #/* Turbopause */ zh28=pdm[2][2]*zhf; zhm28=pdm[2][3]*pdl[1][5]; xmd=28.0-xmm; #/* Mixed density at Zlb */ tz = [0] b28=densu(zh28,db28,tinf,tlb,xmd,(alpha[2]-1.0),tz,ptm[5],s,mn1, zn1,meso_tn1,meso_tgn1); if ((flags.sw[15]) and (z<=altl[2])): #/* Mixed density at Alt */ global dm28 dm28=densu(z,b28,tinf,tlb,xmm,alpha[2],tz,ptm[5],s,mn1,zn1,meso_tn1,meso_tgn1); #/* Net density at Alt */ output.d[2]=dnet(output.d[2],dm28,zhm28,xmm,28.0); #/**** HE DENSITY ****/ #/* Density variation factor at Zlb */ g4 = flags.sw[21]*globe7(pd[0], Input, flags); #/* Diffusive density at Zlb */ db04 = pdm[0][0]*exp(g4)*pd[0][0]; #/* Diffusive density at Alt */ RandomVariable = [output.t[1]] output.d[0]=densu(z,db04,tinf,tlb, 4.,alpha[0],RandomVariable,ptm[5],s,mn1,zn1,meso_tn1,meso_tgn1); output.t[1] = RandomVariable[0] dd=output.d[0]; if ((flags.sw[15]) and (z Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. """ from . import nrlmsise_00 from . import nrlmsise_00_header from . import nrlmsise_00_data from .nrlmsise_00 import gtd7 from .nrlmsise_00_header import nrlmsise_output, nrlmsise_input, nrlmsise_flags, ap_array __all__ = ['nrlmsise_00', 'nrlmsise_00_header', 'nrlmsise_00_data'] __all__.extend(nrlmsise_00.__all__) __all__.extend(nrlmsise_00_header.__all__) fluids-1.0.22/fluids/nrlmsise00/nrlmsise_00_data.py0000644000175000017500000014031114302004506021362 0ustar nileshnilesh# -*- coding: utf-8 -*- """ 12/19/2013 Author: Joshua Milas Python Version: 3.3.2 The NRLMSISE-00 model 2001 ported to python Based off of Dominik Brodowski 20100516 version available here http://www.brodo.de/english/pub/nrlmsise/ This is the external data file used by the main program The MIT License (MIT) Copyright (c) 2016 Joshua Milas Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. /* -------------------------------------------------------------------- */ /* --------- N R L M S I S E - 0 0 M O D E L 2 0 0 1 ---------- */ /* -------------------------------------------------------------------- */ /* This file is part of the NRLMSISE-00 C source code package - release * 20041227 * * The NRLMSISE-00 model was developed by Mike Picone, Alan Hedin, and * Doug Drob. They also wrote a NRLMSISE-00 distribution package in * FORTRAN which is available at * http://uap-www.nrl.navy.mil/models_web/msis/msis_home.htm * * Dominik Brodowski implemented and maintains this C version. You can * reach him at mail@brodo.de. See the file "DOCUMENTATION" for details, * and check http://www.brodo.de/english/pub/nrlmsise/index.html for * updated releases of this package. */ """ from __future__ import division __all__ = ['pt', 'pd', 'ps', 'pdl', 'ptm', 'pdm', 'ptl', 'pma', 'sam', 'pavgm'] #TEMPERATURE pt = [9.86573E-01, 1.62228E-02, 1.55270E-02,-1.04323E-01,-3.75801E-03, -1.18538E-03,-1.24043E-01, 4.56820E-03, 8.76018E-03,-1.36235E-01, -3.52427E-02, 8.84181E-03,-5.92127E-03,-8.61650E+00, 0.00000E+00, 1.28492E-02, 0.00000E+00, 1.30096E+02, 1.04567E-02, 1.65686E-03, -5.53887E-06, 2.97810E-03, 0.00000E+00, 5.13122E-03, 8.66784E-02, 1.58727E-01, 0.00000E+00, 0.00000E+00, 0.00000E+00,-7.27026E-06, 0.00000E+00, 6.74494E+00, 4.93933E-03, 2.21656E-03, 2.50802E-03, 0.00000E+00, 0.00000E+00,-2.08841E-02,-1.79873E+00, 1.45103E-03, 2.81769E-04,-1.44703E-03,-5.16394E-05, 8.47001E-02, 1.70147E-01, 5.72562E-03, 5.07493E-05, 4.36148E-03, 1.17863E-04, 4.74364E-03, 6.61278E-03, 4.34292E-05, 1.44373E-03, 2.41470E-05, 2.84426E-03, 8.56560E-04, 2.04028E-03, 0.00000E+00,-3.15994E+03,-2.46423E-03, 1.13843E-03, 4.20512E-04, 0.00000E+00,-9.77214E+01, 6.77794E-03, 5.27499E-03, 1.14936E-03, 0.00000E+00,-6.61311E-03,-1.84255E-02, -1.96259E-02, 2.98618E+04, 0.00000E+00, 0.00000E+00, 0.00000E+00, 6.44574E+02, 8.84668E-04, 5.05066E-04, 0.00000E+00, 4.02881E+03, -1.89503E-03, 0.00000E+00, 0.00000E+00, 8.21407E-04, 2.06780E-03, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, -1.20410E-02,-3.63963E-03, 9.92070E-05,-1.15284E-04,-6.33059E-05, -6.05545E-01, 8.34218E-03,-9.13036E+01, 3.71042E-04, 0.00000E+00, 4.19000E-04, 2.70928E-03, 3.31507E-03,-4.44508E-03,-4.96334E-03, -1.60449E-03, 3.95119E-03, 2.48924E-03, 5.09815E-04, 4.05302E-03, 2.24076E-03, 0.00000E+00, 6.84256E-03, 4.66354E-04, 0.00000E+00, -3.68328E-04, 0.00000E+00, 0.00000E+00,-1.46870E+02, 0.00000E+00, 0.00000E+00, 1.09501E-03, 4.65156E-04, 5.62583E-04, 3.21596E+00, 6.43168E-04, 3.14860E-03, 3.40738E-03, 1.78481E-03, 9.62532E-04, 5.58171E-04, 3.43731E+00,-2.33195E-01, 5.10289E-04, 0.00000E+00, 0.00000E+00,-9.25347E+04, 0.00000E+00,-1.99639E-03, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00] pd = [ #/* HE DENSITY */ [ 1.09979E+00,-4.88060E-02,-1.97501E-01,-9.10280E-02,-6.96558E-03, 2.42136E-02, 3.91333E-01,-7.20068E-03,-3.22718E-02, 1.41508E+00, 1.68194E-01, 1.85282E-02, 1.09384E-01,-7.24282E+00, 0.00000E+00, 2.96377E-01,-4.97210E-02, 1.04114E+02,-8.61108E-02,-7.29177E-04, 1.48998E-06, 1.08629E-03, 0.00000E+00, 0.00000E+00, 8.31090E-02, 1.12818E-01,-5.75005E-02,-1.29919E-02,-1.78849E-02,-2.86343E-06, 0.00000E+00,-1.51187E+02,-6.65902E-03, 0.00000E+00,-2.02069E-03, 0.00000E+00, 0.00000E+00, 4.32264E-02,-2.80444E+01,-3.26789E-03, 2.47461E-03, 0.00000E+00, 0.00000E+00, 9.82100E-02, 1.22714E-01, -3.96450E-02, 0.00000E+00,-2.76489E-03, 0.00000E+00, 1.87723E-03, -8.09813E-03, 4.34428E-05,-7.70932E-03, 0.00000E+00,-2.28894E-03, -5.69070E-03,-5.22193E-03, 6.00692E-03,-7.80434E+03,-3.48336E-03, -6.38362E-03,-1.82190E-03, 0.00000E+00,-7.58976E+01,-2.17875E-02, -1.72524E-02,-9.06287E-03, 0.00000E+00, 2.44725E-02, 8.66040E-02, 1.05712E-01, 3.02543E+04, 0.00000E+00, 0.00000E+00, 0.00000E+00, -6.01364E+03,-5.64668E-03,-2.54157E-03, 0.00000E+00, 3.15611E+02, -5.69158E-03, 0.00000E+00, 0.00000E+00,-4.47216E-03,-4.49523E-03, 4.64428E-03, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 4.51236E-02, 2.46520E-02, 6.17794E-03, 0.00000E+00, 0.00000E+00, -3.62944E-01,-4.80022E-02,-7.57230E+01,-1.99656E-03, 0.00000E+00, -5.18780E-03,-1.73990E-02,-9.03485E-03, 7.48465E-03, 1.53267E-02, 1.06296E-02, 1.18655E-02, 2.55569E-03, 1.69020E-03, 3.51936E-02, -1.81242E-02, 0.00000E+00,-1.00529E-01,-5.10574E-03, 0.00000E+00, 2.10228E-03, 0.00000E+00, 0.00000E+00,-1.73255E+02, 5.07833E-01, -2.41408E-01, 8.75414E-03, 2.77527E-03,-8.90353E-05,-5.25148E+00, -5.83899E-03,-2.09122E-02,-9.63530E-03, 9.77164E-03, 4.07051E-03, 2.53555E-04,-5.52875E+00,-3.55993E-01,-2.49231E-03, 0.00000E+00, 0.00000E+00, 2.86026E+01, 0.00000E+00, 3.42722E-04, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00 ], #/* O DENSITY */ [ 1.02315E+00,-1.59710E-01,-1.06630E-01,-1.77074E-02,-4.42726E-03, 3.44803E-02, 4.45613E-02,-3.33751E-02,-5.73598E-02, 3.50360E-01, 6.33053E-02, 2.16221E-02, 5.42577E-02,-5.74193E+00, 0.00000E+00, 1.90891E-01,-1.39194E-02, 1.01102E+02, 8.16363E-02, 1.33717E-04, 6.54403E-06, 3.10295E-03, 0.00000E+00, 0.00000E+00, 5.38205E-02, 1.23910E-01,-1.39831E-02, 0.00000E+00, 0.00000E+00,-3.95915E-06, 0.00000E+00,-7.14651E-01,-5.01027E-03, 0.00000E+00,-3.24756E-03, 0.00000E+00, 0.00000E+00, 4.42173E-02,-1.31598E+01,-3.15626E-03, 1.24574E-03,-1.47626E-03,-1.55461E-03, 6.40682E-02, 1.34898E-01, -2.42415E-02, 0.00000E+00, 0.00000E+00, 0.00000E+00, 6.13666E-04, -5.40373E-03, 2.61635E-05,-3.33012E-03, 0.00000E+00,-3.08101E-03, -2.42679E-03,-3.36086E-03, 0.00000E+00,-1.18979E+03,-5.04738E-02, -2.61547E-03,-1.03132E-03, 1.91583E-04,-8.38132E+01,-1.40517E-02, -1.14167E-02,-4.08012E-03, 1.73522E-04,-1.39644E-02,-6.64128E-02, -6.85152E-02,-1.34414E+04, 0.00000E+00, 0.00000E+00, 0.00000E+00, 6.07916E+02,-4.12220E-03,-2.20996E-03, 0.00000E+00, 1.70277E+03, -4.63015E-03, 0.00000E+00, 0.00000E+00,-2.25360E-03,-2.96204E-03, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 3.92786E-02, 1.31186E-02,-1.78086E-03, 0.00000E+00, 0.00000E+00, -3.90083E-01,-2.84741E-02,-7.78400E+01,-1.02601E-03, 0.00000E+00, -7.26485E-04,-5.42181E-03,-5.59305E-03, 1.22825E-02, 1.23868E-02, 6.68835E-03,-1.03303E-02,-9.51903E-03, 2.70021E-04,-2.57084E-02, -1.32430E-02, 0.00000E+00,-3.81000E-02,-3.16810E-03, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00,-9.05762E-04,-2.14590E-03,-1.17824E-03, 3.66732E+00, -3.79729E-04,-6.13966E-03,-5.09082E-03,-1.96332E-03,-3.08280E-03, -9.75222E-04, 4.03315E+00,-2.52710E-01, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00 ], #/* N2 DENSITY */ [ 1.16112E+00, 0.00000E+00, 0.00000E+00, 3.33725E-02, 0.00000E+00, 3.48637E-02,-5.44368E-03, 0.00000E+00,-6.73940E-02, 1.74754E-01, 0.00000E+00, 0.00000E+00, 0.00000E+00, 1.74712E+02, 0.00000E+00, 1.26733E-01, 0.00000E+00, 1.03154E+02, 5.52075E-02, 0.00000E+00, 0.00000E+00, 8.13525E-04, 0.00000E+00, 0.00000E+00, 8.66784E-02, 1.58727E-01, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00,-2.50482E+01, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00,-2.48894E-03, 6.16053E-04,-5.79716E-04, 2.95482E-03, 8.47001E-02, 1.70147E-01, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 2.47425E-05, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00 ], #/* TLB */ [ 9.44846E-01, 0.00000E+00, 0.00000E+00,-3.08617E-02, 0.00000E+00, -2.44019E-02, 6.48607E-03, 0.00000E+00, 3.08181E-02, 4.59392E-02, 0.00000E+00, 0.00000E+00, 0.00000E+00, 1.74712E+02, 0.00000E+00, 2.13260E-02, 0.00000E+00,-3.56958E+02, 0.00000E+00, 1.82278E-04, 0.00000E+00, 3.07472E-04, 0.00000E+00, 0.00000E+00, 8.66784E-02, 1.58727E-01, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 3.83054E-03, 0.00000E+00, 0.00000E+00, -1.93065E-03,-1.45090E-03, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00,-1.23493E-03, 1.36736E-03, 8.47001E-02, 1.70147E-01, 3.71469E-03, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 5.10250E-03, 2.47425E-05, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 3.68756E-03, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00 ], #/* O2 DENSITY */ [ 1.35580E+00, 1.44816E-01, 0.00000E+00, 6.07767E-02, 0.00000E+00, 2.94777E-02, 7.46900E-02, 0.00000E+00,-9.23822E-02, 8.57342E-02, 0.00000E+00, 0.00000E+00, 0.00000E+00, 2.38636E+01, 0.00000E+00, 7.71653E-02, 0.00000E+00, 8.18751E+01, 1.87736E-02, 0.00000E+00, 0.00000E+00, 1.49667E-02, 0.00000E+00, 0.00000E+00, 8.66784E-02, 1.58727E-01, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00,-3.67874E+02, 5.48158E-03, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 8.47001E-02, 1.70147E-01, 1.22631E-02, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 8.17187E-03, 3.71617E-05, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00,-2.10826E-03, -3.13640E-03, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, -7.35742E-02,-5.00266E-02, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 1.94965E-02, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00 ], #/* AR DENSITY */ [ 1.04761E+00, 2.00165E-01, 2.37697E-01, 3.68552E-02, 0.00000E+00, 3.57202E-02,-2.14075E-01, 0.00000E+00,-1.08018E-01,-3.73981E-01, 0.00000E+00, 3.10022E-02,-1.16305E-03,-2.07596E+01, 0.00000E+00, 8.64502E-02, 0.00000E+00, 9.74908E+01, 5.16707E-02, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 8.66784E-02, 1.58727E-01, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 3.46193E+02, 1.34297E-02, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00,-3.48509E-03, -1.54689E-04, 0.00000E+00, 0.00000E+00, 8.47001E-02, 1.70147E-01, 1.47753E-02, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 1.89320E-02, 3.68181E-05, 1.32570E-02, 0.00000E+00, 0.00000E+00, 3.59719E-03, 7.44328E-03,-1.00023E-03,-6.50528E+03, 0.00000E+00, 1.03485E-02,-1.00983E-03,-4.06916E-03,-6.60864E+01,-1.71533E-02, 1.10605E-02, 1.20300E-02,-5.20034E-03, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, -2.62769E+03, 7.13755E-03, 4.17999E-03, 0.00000E+00, 1.25910E+04, 0.00000E+00, 0.00000E+00, 0.00000E+00,-2.23595E-03, 4.60217E-03, 5.71794E-03, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, -3.18353E-02,-2.35526E-02,-1.36189E-02, 0.00000E+00, 0.00000E+00, 0.00000E+00, 2.03522E-02,-6.67837E+01,-1.09724E-03, 0.00000E+00, -1.38821E-02, 1.60468E-02, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 1.51574E-02, -5.44470E-04, 0.00000E+00, 7.28224E-02, 6.59413E-02, 0.00000E+00, -5.15692E-03, 0.00000E+00, 0.00000E+00,-3.70367E+03, 0.00000E+00, 0.00000E+00, 1.36131E-02, 5.38153E-03, 0.00000E+00, 4.76285E+00, -1.75677E-02, 2.26301E-02, 0.00000E+00, 1.76631E-02, 4.77162E-03, 0.00000E+00, 5.39354E+00, 0.00000E+00,-7.51710E-03, 0.00000E+00, 0.00000E+00,-8.82736E+01, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00 ], #/* H DENSITY */ [ 1.26376E+00,-2.14304E-01,-1.49984E-01, 2.30404E-01, 2.98237E-02, 2.68673E-02, 2.96228E-01, 2.21900E-02,-2.07655E-02, 4.52506E-01, 1.20105E-01, 3.24420E-02, 4.24816E-02,-9.14313E+00, 0.00000E+00, 2.47178E-02,-2.88229E-02, 8.12805E+01, 5.10380E-02,-5.80611E-03, 2.51236E-05,-1.24083E-02, 0.00000E+00, 0.00000E+00, 8.66784E-02, 1.58727E-01,-3.48190E-02, 0.00000E+00, 0.00000E+00, 2.89885E-05, 0.00000E+00, 1.53595E+02,-1.68604E-02, 0.00000E+00, 1.01015E-02, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 2.84552E-04, -1.22181E-03, 0.00000E+00, 0.00000E+00, 8.47001E-02, 1.70147E-01, -1.04927E-02, 0.00000E+00, 0.00000E+00, 0.00000E+00,-5.91313E-03, -2.30501E-02, 3.14758E-05, 0.00000E+00, 0.00000E+00, 1.26956E-02, 8.35489E-03, 3.10513E-04, 0.00000E+00, 3.42119E+03,-2.45017E-03, -4.27154E-04, 5.45152E-04, 1.89896E-03, 2.89121E+01,-6.49973E-03, -1.93855E-02,-1.48492E-02, 0.00000E+00,-5.10576E-02, 7.87306E-02, 9.51981E-02,-1.49422E+04, 0.00000E+00, 0.00000E+00, 0.00000E+00, 2.65503E+02, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 6.37110E-03, 3.24789E-04, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 6.14274E-02, 1.00376E-02,-8.41083E-04, 0.00000E+00, 0.00000E+00, 0.00000E+00,-1.27099E-02, 0.00000E+00, 0.00000E+00, 0.00000E+00, -3.94077E-03,-1.28601E-02,-7.97616E-03, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00,-6.71465E-03,-1.69799E-03, 1.93772E-03, 3.81140E+00, -7.79290E-03,-1.82589E-02,-1.25860E-02,-1.04311E-02,-3.02465E-03, 2.43063E-03, 3.63237E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00 ], #/* N DENSITY */ [ 7.09557E+01,-3.26740E-01, 0.00000E+00,-5.16829E-01,-1.71664E-03, 9.09310E-02,-6.71500E-01,-1.47771E-01,-9.27471E-02,-2.30862E-01, -1.56410E-01, 1.34455E-02,-1.19717E-01, 2.52151E+00, 0.00000E+00, -2.41582E-01, 5.92939E-02, 4.39756E+00, 9.15280E-02, 4.41292E-03, 0.00000E+00, 8.66807E-03, 0.00000E+00, 0.00000E+00, 8.66784E-02, 1.58727E-01, 9.74701E-02, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 6.70217E+01,-1.31660E-03, 0.00000E+00,-1.65317E-02, 0.00000E+00, 0.00000E+00, 8.50247E-02, 2.77428E+01, 4.98658E-03, 6.15115E-03, 9.50156E-03,-2.12723E-02, 8.47001E-02, 1.70147E-01, -2.38645E-02, 0.00000E+00, 0.00000E+00, 0.00000E+00, 1.37380E-03, -8.41918E-03, 2.80145E-05, 7.12383E-03, 0.00000E+00,-1.66209E-02, 1.03533E-04,-1.68898E-02, 0.00000E+00, 3.64526E+03, 0.00000E+00, 6.54077E-03, 3.69130E-04, 9.94419E-04, 8.42803E+01,-1.16124E-02, -7.74414E-03,-1.68844E-03, 1.42809E-03,-1.92955E-03, 1.17225E-01, -2.41512E-02, 1.50521E+04, 0.00000E+00, 0.00000E+00, 0.00000E+00, 1.60261E+03, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00,-3.54403E-04,-1.87270E-02, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 2.76439E-02, 6.43207E-03,-3.54300E-02, 0.00000E+00, 0.00000E+00, 0.00000E+00,-2.80221E-02, 8.11228E+01,-6.75255E-04, 0.00000E+00, -1.05162E-02,-3.48292E-03,-6.97321E-03, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00,-1.45546E-03,-1.31970E-02,-3.57751E-03,-1.09021E+00, -1.50181E-02,-7.12841E-03,-6.64590E-03,-3.52610E-03,-1.87773E-02, -2.22432E-03,-3.93895E-01, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00 ], #/* HOT O DENSITY */ [ 6.04050E-02, 1.57034E+00, 2.99387E-02, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00,-1.51018E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00,-8.61650E+00, 1.26454E-02, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 5.50878E-03, 0.00000E+00, 0.00000E+00, 8.66784E-02, 1.58727E-01, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 6.23881E-02, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 8.47001E-02, 1.70147E-01, -9.45934E-02, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00 ] ] #/* S PARAM */ ps = [9.56827E-01, 6.20637E-02, 3.18433E-02, 0.00000E+00, 0.00000E+00, 3.94900E-02, 0.00000E+00, 0.00000E+00,-9.24882E-03,-7.94023E-03, 0.00000E+00, 0.00000E+00, 0.00000E+00, 1.74712E+02, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 2.74677E-03, 0.00000E+00, 1.54951E-02, 8.66784E-02, 1.58727E-01, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00,-6.99007E-04, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 1.24362E-02,-5.28756E-03, 8.47001E-02, 1.70147E-01, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 2.47425E-05, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00] #/* TURBO */ pdl = [ [ 1.09930E+00, 3.90631E+00, 3.07165E+00, 9.86161E-01, 1.63536E+01, 4.63830E+00, 1.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 1.28840E+00, 3.10302E-02, 1.18339E-01 ], [ 1.00000E+00, 7.00000E-01, 1.15020E+00, 3.44689E+00, 1.28840E+00, 1.00000E+00, 1.08738E+00, 1.22947E+00, 1.10016E+00, 7.34129E-01, 1.15241E+00, 2.22784E+00, 7.95046E-01, 4.01612E+00, 4.47749E+00, 1.23435E+02,-7.60535E-02, 1.68986E-06, 7.44294E-01, 1.03604E+00, 1.72783E+02, 1.15020E+00, 3.44689E+00,-7.46230E-01, 9.49154E-01 ] ] #/* LOWER BOUNDARY */ ptm = [1.04130E+03, 3.86000E+02, 1.95000E+02, 1.66728E+01, 2.13000E+02, 1.20000E+02, 2.40000E+02, 1.87000E+02,-2.00000E+00, 0.00000E+00] pdm = [ [2.45600E+07, 6.71072E-06, 1.00000E+02, 0.00000E+00, 1.10000E+02, 1.00000E+01, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00 ], [ 8.59400E+10, 1.00000E+00, 1.05000E+02,-8.00000E+00, 1.10000E+02, 1.00000E+01, 9.00000E+01, 2.00000E+00, 0.00000E+00, 0.00000E+00 ], [ 2.81000E+11, 0.00000E+00, 1.05000E+02, 2.80000E+01, 2.89500E+01, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00 ], [ 3.30000E+10, 2.68270E-01, 1.05000E+02, 1.00000E+00, 1.10000E+02, 1.00000E+01, 1.10000E+02,-1.00000E+01, 0.00000E+00, 0.00000E+00 ], [ 1.33000E+09, 1.19615E-02, 1.05000E+02, 0.00000E+00, 1.10000E+02, 1.00000E+01, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00 ], [ 1.76100E+05, 1.00000E+00, 9.50000E+01,-8.00000E+00, 1.10000E+02, 1.00000E+01, 9.00000E+01, 2.00000E+00, 0.00000E+00, 0.00000E+00, ], [ 1.00000E+07, 1.00000E+00, 1.05000E+02,-8.00000E+00, 1.10000E+02, 1.00000E+01, 9.00000E+01, 2.00000E+00, 0.00000E+00, 0.00000E+00 ], [ 1.00000E+06, 1.00000E+00, 1.05000E+02,-8.00000E+00, 5.50000E+02, 7.60000E+01, 9.00000E+01, 2.00000E+00, 0.00000E+00, 4.00000E+03 ]] ptl = [ #/* TN1(2) */ [ 1.00858E+00, 4.56011E-02,-2.22972E-02,-5.44388E-02, 5.23136E-04, -1.88849E-02, 5.23707E-02,-9.43646E-03, 6.31707E-03,-7.80460E-02, -4.88430E-02, 0.00000E+00, 0.00000E+00,-7.60250E+00, 0.00000E+00, -1.44635E-02,-1.76843E-02,-1.21517E+02, 2.85647E-02, 0.00000E+00, 0.00000E+00, 6.31792E-04, 0.00000E+00, 5.77197E-03, 8.66784E-02, 1.58727E-01, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00,-8.90272E+03, 3.30611E-03, 3.02172E-03, 0.00000E+00, -2.13673E-03,-3.20910E-04, 0.00000E+00, 0.00000E+00, 2.76034E-03, 2.82487E-03,-2.97592E-04,-4.21534E-03, 8.47001E-02, 1.70147E-01, 8.96456E-03, 0.00000E+00,-1.08596E-02, 0.00000E+00, 0.00000E+00, 5.57917E-03, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 9.65405E-03, 0.00000E+00, 0.00000E+00, 2.00000E+00 ], #/* TN1(3) */ [ 9.39664E-01, 8.56514E-02,-6.79989E-03, 2.65929E-02,-4.74283E-03, 1.21855E-02,-2.14905E-02, 6.49651E-03,-2.05477E-02,-4.24952E-02, 0.00000E+00, 0.00000E+00, 0.00000E+00, 1.19148E+01, 0.00000E+00, 1.18777E-02,-7.28230E-02,-8.15965E+01, 1.73887E-02, 0.00000E+00, 0.00000E+00, 0.00000E+00,-1.44691E-02, 2.80259E-04, 8.66784E-02, 1.58727E-01, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 2.16584E+02, 3.18713E-03, 7.37479E-03, 0.00000E+00, -2.55018E-03,-3.92806E-03, 0.00000E+00, 0.00000E+00,-2.89757E-03, -1.33549E-03, 1.02661E-03, 3.53775E-04, 8.47001E-02, 1.70147E-01, -9.17497E-03, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 3.56082E-03, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00,-1.00902E-02, 0.00000E+00, 0.00000E+00, 2.00000E+00 ], #/* TN1(4) */ [ 9.85982E-01,-4.55435E-02, 1.21106E-02, 2.04127E-02,-2.40836E-03, 1.11383E-02,-4.51926E-02, 1.35074E-02,-6.54139E-03, 1.15275E-01, 1.28247E-01, 0.00000E+00, 0.00000E+00,-5.30705E+00, 0.00000E+00, -3.79332E-02,-6.24741E-02, 7.71062E-01, 2.96315E-02, 0.00000E+00, 0.00000E+00, 0.00000E+00, 6.81051E-03,-4.34767E-03, 8.66784E-02, 1.58727E-01, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 1.07003E+01,-2.76907E-03, 4.32474E-04, 0.00000E+00, 1.31497E-03,-6.47517E-04, 0.00000E+00,-2.20621E+01,-1.10804E-03, -8.09338E-04, 4.18184E-04, 4.29650E-03, 8.47001E-02, 1.70147E-01, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, -4.04337E-03, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00,-9.52550E-04, 8.56253E-04, 4.33114E-04, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 1.21223E-03, 2.38694E-04, 9.15245E-04, 1.28385E-03, 8.67668E-04,-5.61425E-06, 1.04445E+00, 3.41112E+01, 0.00000E+00,-8.40704E-01,-2.39639E+02, 7.06668E-01,-2.05873E+01,-3.63696E-01, 2.39245E+01, 0.00000E+00, -1.06657E-03,-7.67292E-04, 1.54534E-04, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 2.00000E+00 ], #/* TN1(5) TN2(1) */ [ 1.00320E+00, 3.83501E-02,-2.38983E-03, 2.83950E-03, 4.20956E-03, 5.86619E-04, 2.19054E-02,-1.00946E-02,-3.50259E-03, 4.17392E-02, -8.44404E-03, 0.00000E+00, 0.00000E+00, 4.96949E+00, 0.00000E+00, -7.06478E-03,-1.46494E-02, 3.13258E+01,-1.86493E-03, 0.00000E+00, -1.67499E-02, 0.00000E+00, 0.00000E+00, 5.12686E-04, 8.66784E-02, 1.58727E-01,-4.64167E-03, 0.00000E+00, 0.00000E+00, 0.00000E+00, 4.37353E-03,-1.99069E+02, 0.00000E+00,-5.34884E-03, 0.00000E+00, 1.62458E-03, 2.93016E-03, 2.67926E-03, 5.90449E+02, 0.00000E+00, 0.00000E+00,-1.17266E-03,-3.58890E-04, 8.47001E-02, 1.70147E-01, 0.00000E+00, 0.00000E+00, 1.38673E-02, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 1.60571E-03, 6.28078E-04, 5.05469E-05, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00,-1.57829E-03, -4.00855E-04, 5.04077E-05,-1.39001E-03,-2.33406E-03,-4.81197E-04, 1.46758E+00, 6.20332E+00, 0.00000E+00, 3.66476E-01,-6.19760E+01, 3.09198E-01,-1.98999E+01, 0.00000E+00,-3.29933E+02, 0.00000E+00, -1.10080E-03,-9.39310E-05, 1.39638E-04, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 2.00000E+00 ] ]; pma = [ #/* TN2(2) */ [ 9.81637E-01,-1.41317E-03, 3.87323E-02, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00,-3.58707E-02, -8.63658E-03, 0.00000E+00, 0.00000E+00,-2.02226E+00, 0.00000E+00, -8.69424E-03,-1.91397E-02, 8.76779E+01, 4.52188E-03, 0.00000E+00, 2.23760E-02, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00,-7.07572E-03, 0.00000E+00, 0.00000E+00, 0.00000E+00, -4.11210E-03, 3.50060E+01, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00,-8.36657E-03, 1.61347E+01, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00,-1.45130E-02, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 1.24152E-03, 6.43365E-04, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 1.33255E-03, 2.42657E-03, 1.60666E-03,-1.85728E-03,-1.46874E-03,-4.79163E-06, 1.22464E+00, 3.53510E+01, 0.00000E+00, 4.49223E-01,-4.77466E+01, 4.70681E-01, 8.41861E+00,-2.88198E-01, 1.67854E+02, 0.00000E+00, 7.11493E-04, 6.05601E-04, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 2.00000E+00 ], #/* TN2(3) */ [ 1.00422E+00,-7.11212E-03, 5.24480E-03, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00,-5.28914E-02, -2.41301E-02, 0.00000E+00, 0.00000E+00,-2.12219E+01,-1.03830E-02, -3.28077E-03, 1.65727E-02, 1.68564E+00,-6.68154E-03, 0.00000E+00, 1.45155E-02, 0.00000E+00, 8.42365E-03, 0.00000E+00, 0.00000E+00, 0.00000E+00,-4.34645E-03, 0.00000E+00, 0.00000E+00, 2.16780E-02, 0.00000E+00,-1.38459E+02, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 7.04573E-03,-4.73204E+01, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 1.08767E-02, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00,-8.08279E-03, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 5.21769E-04, -2.27387E-04, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 3.26769E-03, 3.16901E-03, 4.60316E-04,-1.01431E-04, 1.02131E-03, 9.96601E-04, 1.25707E+00, 2.50114E+01, 0.00000E+00, 4.24472E-01,-2.77655E+01, 3.44625E-01, 2.75412E+01, 0.00000E+00, 7.94251E+02, 0.00000E+00, 2.45835E-03, 1.38871E-03, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 2.00000E+00 ], #/* TN2(4) TN3(1) */ [ 1.01890E+00,-2.46603E-02, 1.00078E-02, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00,-6.70977E-02, -4.02286E-02, 0.00000E+00, 0.00000E+00,-2.29466E+01,-7.47019E-03, 2.26580E-03, 2.63931E-02, 3.72625E+01,-6.39041E-03, 0.00000E+00, 9.58383E-03, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00,-1.85291E-03, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 1.39717E+02, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 9.19771E-03,-3.69121E+02, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00,-1.57067E-02, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00,-7.07265E-03, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00,-2.92953E-03, -2.77739E-03,-4.40092E-04, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 2.47280E-03, 2.95035E-04,-1.81246E-03, 2.81945E-03, 4.27296E-03, 9.78863E-04, 1.40545E+00,-6.19173E+00, 0.00000E+00, 0.00000E+00,-7.93632E+01, 4.44643E-01,-4.03085E+02, 0.00000E+00, 1.15603E+01, 0.00000E+00, 2.25068E-03, 8.48557E-04,-2.98493E-04, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 2.00000E+00 ], #/* TN3(2) */ [ 9.75801E-01, 3.80680E-02,-3.05198E-02, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 3.85575E-02, 5.04057E-02, 0.00000E+00, 0.00000E+00,-1.76046E+02, 1.44594E-02, -1.48297E-03,-3.68560E-03, 3.02185E+01,-3.23338E-03, 0.00000E+00, 1.53569E-02, 0.00000E+00,-1.15558E-02, 0.00000E+00, 0.00000E+00, 0.00000E+00, 4.89620E-03, 0.00000E+00, 0.00000E+00,-1.00616E-02, -8.21324E-03,-1.57757E+02, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 6.63564E-03, 4.58410E+01, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00,-2.51280E-02, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 9.91215E-03, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00,-8.73148E-04, -1.29648E-03,-7.32026E-05, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00,-4.68110E-03, -4.66003E-03,-1.31567E-03,-7.39390E-04, 6.32499E-04,-4.65588E-04, -1.29785E+00,-1.57139E+02, 0.00000E+00, 2.58350E-01,-3.69453E+01, 4.10672E-01, 9.78196E+00,-1.52064E-01,-3.85084E+03, 0.00000E+00, -8.52706E-04,-1.40945E-03,-7.26786E-04, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 2.00000E+00 ], #/* TN3(3) */ [ 9.60722E-01, 7.03757E-02,-3.00266E-02, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 2.22671E-02, 4.10423E-02, 0.00000E+00, 0.00000E+00,-1.63070E+02, 1.06073E-02, 5.40747E-04, 7.79481E-03, 1.44908E+02, 1.51484E-04, 0.00000E+00, 1.97547E-02, 0.00000E+00,-1.41844E-02, 0.00000E+00, 0.00000E+00, 0.00000E+00, 5.77884E-03, 0.00000E+00, 0.00000E+00, 9.74319E-03, 0.00000E+00,-2.88015E+03, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00,-4.44902E-03,-2.92760E+01, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 2.34419E-02, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 5.36685E-03, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00,-4.65325E-04, -5.50628E-04, 3.31465E-04, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00,-2.06179E-03, -3.08575E-03,-7.93589E-04,-1.08629E-04, 5.95511E-04,-9.05050E-04, 1.18997E+00, 4.15924E+01, 0.00000E+00,-4.72064E-01,-9.47150E+02, 3.98723E-01, 1.98304E+01, 0.00000E+00, 3.73219E+03, 0.00000E+00, -1.50040E-03,-1.14933E-03,-1.56769E-04, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 2.00000E+00 ], #/* TN3(4) */ [ 1.03123E+00,-7.05124E-02, 8.71615E-03, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00,-3.82621E-02, -9.80975E-03, 0.00000E+00, 0.00000E+00, 2.89286E+01, 9.57341E-03, 0.00000E+00, 0.00000E+00, 8.66153E+01, 7.91938E-04, 0.00000E+00, 0.00000E+00, 0.00000E+00, 4.68917E-03, 0.00000E+00, 0.00000E+00, 0.00000E+00, 7.86638E-03, 0.00000E+00, 0.00000E+00, 9.90827E-03, 0.00000E+00, 6.55573E+01, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00,-4.00200E+01, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 7.07457E-03, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 5.72268E-03, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00,-2.04970E-04, 1.21560E-03,-8.05579E-06, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00,-2.49941E-03, -4.57256E-04,-1.59311E-04, 2.96481E-04,-1.77318E-03,-6.37918E-04, 1.02395E+00, 1.28172E+01, 0.00000E+00, 1.49903E-01,-2.63818E+01, 0.00000E+00, 4.70628E+01,-2.22139E-01, 4.82292E-02, 0.00000E+00, -8.67075E-04,-5.86479E-04, 5.32462E-04, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 2.00000E+00 ], #/* TN3(5) SURFACE TEMP TSL */ [ 1.00828E+00,-9.10404E-02,-2.26549E-02, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00,-2.32420E-02, -9.08925E-03, 0.00000E+00, 0.00000E+00, 3.36105E+01, 0.00000E+00, 0.00000E+00, 0.00000E+00,-1.24957E+01,-5.87939E-03, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 2.79765E+01, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 2.01237E+03, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00,-1.75553E-02, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 3.29699E-03, 1.26659E-03, 2.68402E-04, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 1.17894E-03, 1.48746E-03, 1.06478E-04, 1.34743E-04,-2.20939E-03,-6.23523E-04, 6.36539E-01, 1.13621E+01, 0.00000E+00,-3.93777E-01, 2.38687E+03, 0.00000E+00, 6.61865E+02,-1.21434E-01, 9.27608E+00, 0.00000E+00, 1.68478E-04, 1.24892E-03, 1.71345E-03, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 2.00000E+00 ], #/* TGN3(2) SURFACE GRAD TSLG */ [ 1.57293E+00,-6.78400E-01, 6.47500E-01, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00,-7.62974E-02, -3.60423E-01, 0.00000E+00, 0.00000E+00, 1.28358E+02, 0.00000E+00, 0.00000E+00, 0.00000E+00, 4.68038E+01, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00,-1.67898E-01, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 2.90994E+04, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 3.15706E+01, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 2.00000E+00 ], #/* TGN2(1) TGN1(2) */ [ 8.60028E-01, 3.77052E-01, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00,-1.17570E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 7.77757E-03, 0.00000E+00, 0.00000E+00, 0.00000E+00, 1.01024E+02, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 6.54251E+02, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00,-1.56959E-02, 1.91001E-02, 3.15971E-02, 1.00982E-02,-6.71565E-03, 2.57693E-03, 1.38692E+00, 2.82132E-01, 0.00000E+00, 0.00000E+00, 3.81511E+02, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 2.00000E+00 ], #/* TGN3(1) TGN2(2) */ [ 1.06029E+00,-5.25231E-02, 3.73034E-01, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 3.31072E-02, -3.88409E-01, 0.00000E+00, 0.00000E+00,-1.65295E+02,-2.13801E-01, -4.38916E-02,-3.22716E-01,-8.82393E+01, 1.18458E-01, 0.00000E+00, -4.35863E-01, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00,-1.19782E-01, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 2.62229E+01, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00,-5.37443E+01, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00,-4.55788E-01, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 3.84009E-02, 3.96733E-02, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 5.05494E-02, 7.39617E-02, 1.92200E-02,-8.46151E-03,-1.34244E-02, 1.96338E-02, 1.50421E+00, 1.88368E+01, 0.00000E+00, 0.00000E+00,-5.13114E+01, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 5.11923E-02, 3.61225E-02, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 2.00000E+00 ] ]; #/* SEMIANNUAL MULT SAM */ sam = [1.00000E+00, 1.00000E+00, 1.00000E+00, 1.00000E+00, 1.00000E+00, 1.00000E+00, 1.00000E+00, 1.00000E+00, 1.00000E+00, 1.00000E+00, 1.00000E+00, 1.00000E+00, 1.00000E+00, 1.00000E+00, 1.00000E+00, 1.00000E+00, 1.00000E+00, 1.00000E+00, 1.00000E+00, 1.00000E+00, 1.00000E+00, 1.00000E+00, 1.00000E+00, 1.00000E+00, 1.00000E+00, 1.00000E+00, 1.00000E+00, 1.00000E+00, 1.00000E+00, 1.00000E+00, 1.00000E+00, 1.00000E+00, 1.00000E+00, 1.00000E+00, 1.00000E+00, 1.00000E+00, 1.00000E+00, 1.00000E+00, 1.00000E+00, 1.00000E+00, 1.00000E+00, 1.00000E+00, 1.00000E+00, 1.00000E+00, 1.00000E+00, 1.00000E+00, 1.00000E+00, 1.00000E+00, 1.00000E+00, 1.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00] #/* MIDDLE ATMOSPHERE AVERAGES */ pavgm = [ 2.61000E+02, 2.64000E+02, 2.29000E+02, 2.17000E+02, 2.17000E+02, 2.23000E+02, 2.86760E+02,-2.93940E+00, 2.50000E+00, 0.00000E+00 ] fluids-1.0.22/fluids/fittings.py0000644000175000017500000057717414302004506016116 0ustar nileshnilesh# -*- coding: utf-8 -*- r"""Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2016, 2017, 2018, 2019, 2020 Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. This module contains correlations for the loss coefficient of various types of pipe fittings. Whether you are desining a network or modeling a single element, the correlations here cover most cases. For reporting bugs, adding feature requests, or submitting pull requests, please use the `GitHub issue tracker `_ or contact the author at Caleb.Andrew.Bell@gmail.com. .. contents:: :local: Entrances --------- .. autofunction:: entrance_sharp .. autofunction:: entrance_distance .. autofunction:: entrance_angled .. autofunction:: entrance_rounded .. autofunction:: entrance_beveled .. autofunction:: entrance_beveled_orifice .. autofunction:: entrance_distance_45_Miller Exits ----- .. autofunction:: exit_normal Bends ----- .. autofunction:: bend_rounded .. autofunction:: bend_rounded_Miller .. autofunction:: bend_rounded_Crane .. autofunction:: bend_miter .. autofunction:: bend_miter_Miller .. autofunction:: helix .. autofunction:: spiral Contractions/Reducers --------------------- .. autofunction:: contraction_sharp .. autofunction:: contraction_round .. autofunction:: contraction_round_Miller .. autofunction:: contraction_conical .. autofunction:: contraction_conical_Crane .. autofunction:: contraction_beveled Expansions/Diffusers -------------------- .. autofunction:: diffuser_sharp .. autofunction:: diffuser_conical .. autofunction:: diffuser_conical_staged .. autofunction:: diffuser_curved .. autofunction:: diffuser_pipe_reducer Tees ---- .. autofunction:: K_branch_converging_Crane .. autofunction:: K_run_converging_Crane .. autofunction:: K_branch_diverging_Crane .. autofunction:: K_run_diverging_Crane Valves ------ .. autofunction:: K_gate_valve_Crane .. autofunction:: K_angle_valve_Crane .. autofunction:: K_globe_valve_Crane .. autofunction:: K_swing_check_valve_Crane .. autofunction:: K_lift_check_valve_Crane .. autofunction:: K_tilting_disk_check_valve_Crane .. autofunction:: K_globe_stop_check_valve_Crane .. autofunction:: K_angle_stop_check_valve_Crane .. autofunction:: K_ball_valve_Crane .. autofunction:: K_diaphragm_valve_Crane .. autofunction:: K_foot_valve_Crane .. autofunction:: K_butterfly_valve_Crane .. autofunction:: K_plug_valve_Crane Hooper 2K fittings ------------------ .. autofunction:: Hooper2K .. autodata:: Hooper Darby 3K fittings ------------------ .. autofunction:: Darby3K .. autodata:: Darby Loss Coefficient Converters --------------------------- .. autofunction:: Cv_to_K .. autofunction:: Kv_to_K .. autofunction:: K_to_Cv .. autofunction:: K_to_Kv .. autofunction:: Cv_to_Kv .. autofunction:: Kv_to_Cv Miscellaneous ------------- .. autofunction:: v_lift_valve_Crane Sources ------- The main sources for these correlations are as follows [100]_ [101]_ [102]_ [103]_ [104]_: .. [100] Crane Co. TP 410 Flow of Fluids Through Valves, Fittings, and Pipe. Crane, 2009. .. [101] Rennels, Donald C., and Hobart M. Hudson. Pipe Flow: A Practical and Comprehensive Guide. 1st edition. Hoboken, N.J: Wiley, 2012. .. [102] Miller, Donald S. Internal Flow Systems: Design and Performance Prediction. Gulf Publishing Company, 1990. .. [103] Idel’chik, I. E. Handbook of Hydraulic Resistance: Coefficients of Local Resistance and of Friction (Spravochnik Po Gidravlicheskim Soprotivleniyam, Koeffitsienty Mestnykh Soprotivlenii i Soprotivleniya Treniya). National technical information Service, 1966. .. [104] Blevins, Robert D. Applied Fluid Dynamics Handbook. New York, N.Y.: Van Nostrand Reinhold Co., 1984. """ from __future__ import division from math import sqrt, cos, sin, tan, atan, pi, radians, degrees, log10, log from fluids.constants import inch, deg2rad, rad2deg from fluids.friction import (friction_factor, Clamond, friction_factor_curved, ft_Crane) from fluids.numerics import (horner, interp, splev, bisplev, implementation_optimize_tck, tck_interp2d_linear) from fluids.piping import S40i, NPS40 __all__ = ['contraction_sharp', 'contraction_round', 'contraction_round_Miller', 'contraction_conical', 'contraction_conical_Crane', 'contraction_beveled', 'diffuser_sharp', 'diffuser_conical', 'diffuser_conical_staged', 'diffuser_curved', 'diffuser_pipe_reducer', 'entrance_sharp', 'entrance_distance', 'entrance_angled', 'entrance_rounded', 'entrance_beveled', 'entrance_beveled_orifice', 'entrance_distance_45_Miller', 'exit_normal', 'bend_rounded', 'bend_rounded_Miller', 'bend_rounded_Crane', 'bend_miter', 'bend_miter_Miller', 'helix', 'spiral','Darby3K', 'Hooper2K', 'Kv_to_Cv', 'Cv_to_Kv', 'Kv_to_K', 'K_to_Kv', 'Cv_to_K', 'K_to_Cv', 'change_K_basis', 'Darby', 'Hooper', 'K_gate_valve_Crane', 'K_angle_valve_Crane', 'K_globe_valve_Crane', 'K_swing_check_valve_Crane', 'K_lift_check_valve_Crane', 'K_tilting_disk_check_valve_Crane', 'K_globe_stop_check_valve_Crane', 'K_angle_stop_check_valve_Crane', 'K_ball_valve_Crane', 'K_diaphragm_valve_Crane', 'K_foot_valve_Crane', 'K_butterfly_valve_Crane', 'K_plug_valve_Crane', 'K_branch_converging_Crane', 'K_run_converging_Crane', 'K_branch_diverging_Crane', 'K_run_diverging_Crane', 'v_lift_valve_Crane', 'Crane_loss_coefficient', 'CRANE_VALVES', 'DARBY_VALVES', 'HOOPER_VALVES'] def change_K_basis(K1, D1, D2): r'''Converts a loss coefficient `K1` from the basis of one diameter `D1` to another diameter, `D2`. This is necessary when dealing with pipelines of changing diameter. .. math:: K_2 = K_1\frac{D_2^4}{D_1^4} = K_1 \frac{A_2^2}{A_1^2} Parameters ---------- K1 : float Loss coefficient with respect to diameter `D`, [-] D1 : float Diameter of pipe for which `K1` has been calculated, [m] D2 : float Diameter of pipe for which `K2` will be calculated, [m] Returns ------- K2 : float Loss coefficient with respect to the second diameter, [-] Notes ----- This expression is shown in [1]_ and can easily be derived: .. math:: \frac{\rho V_{1}^{2}}{2} \cdot K_{1} = \frac{\rho V_{2}^{2} }{2} \cdot K_{2} Substitute velocities for flow rate divided by area: .. math:: \frac{8 K_{1} Q^{2} \rho}{\pi^{2} D_{1}^{4}} = \frac{8 K_{2} Q^{2} \rho}{\pi^{2} D_{2}^{4}} From here, simplification and rearrangement is all that is required. Examples -------- >>> change_K_basis(K1=32.68875692997804, D1=.01, D2=.02) 523.020110879 References ---------- .. [1] Rennels, Donald C., and Hobart M. Hudson. Pipe Flow: A Practical and Comprehensive Guide. 1st edition. Hoboken, N.J: Wiley, 2012. ''' r = D2/D1 r *= r return K1*r*r ### Entrances entrance_sharp_methods = ['Rennels', 'Swamee', 'Blevins', 'Idelchik', 'Crane', 'Miller'] entrance_sharp_method_missing = ('Specified method not recognized; methods are %s' %(entrance_sharp_methods)) def entrance_sharp(method='Rennels'): r'''Returns loss coefficient for a sharp entrance to a pipe. Six sources are available; four of them recommending K = 0.5, the most recent 'Rennels', method recommending K = 0.57, and the 'Miller' method recommending ~0.51 as read from a graph. .. figure:: fittings/flush_mounted_sharp_edged_entrance.png :scale: 30 % :alt: flush mounted sharp edged entrance; after [1]_ Parameters ---------- method : str, optional The method to use; one of 'Rennels', 'Swamee', 'Blevins', 'Idelchik', 'Crane', or 'Miller, [-] Returns ------- K : float Loss coefficient [-] Notes ----- 0.5 is the result for 'Swamee', 'Blevins', 'Idelchik', and 'Crane'; 'Miller' returns 0.5093, and 'Rennels' returns 0.57. Examples -------- >>> entrance_sharp() 0.57 References ---------- .. [1] Rennels, Donald C., and Hobart M. Hudson. Pipe Flow: A Practical and Comprehensive Guide. 1st edition. Hoboken, N.J: Wiley, 2012. .. [2] Miller, Donald S. Internal Flow Systems: Design and Performance Prediction. Gulf Publishing Company, 1990. .. [3] Idel’chik, I. E. Handbook of Hydraulic Resistance: Coefficients of Local Resistance and of Friction (Spravochnik Po Gidravlicheskim Soprotivleniyam, Koeffitsienty Mestnykh Soprotivlenii i Soprotivleniya Treniya). National technical information Service, 1966. .. [4] Blevins, Robert D. Applied Fluid Dynamics Handbook. New York, N.Y.: Van Nostrand Reinhold Co., 1984. .. [5] Crane Co. Flow of Fluids Through Valves, Fittings, and Pipe. Crane, 2009. .. [6] Swamee, Prabhata K., and Ashok K. Sharma. Design of Water Supply Pipe Networks. John Wiley & Sons, 2008. ''' if method is None: method = 'Rennels' if method in ('Swamee', 'Blevins', 'Crane', 'Idelchik'): return 0.50 elif method == 'Miller': # From entrance_rounded(Di=0.9, rc=0.0, method='Miller'); Not saying it's right return 0.5092676683721356 elif method == 'Rennels': return 0.57 else: raise ValueError(entrance_sharp_method_missing) entrance_distance_Miller_coeffs = [3.5979871366071166, -2.735407311020481, -14.08678246875138, 10.637236472292983, 21.99568490754116, -16.38501138746954, -17.62779826803278, 12.945551397987447, 7.715463242992863, -5.850893341031715, -1.3809402870404826, 1.179637166644488, 0.08781141316107932, -0.09751968111743672, 0.00501792061942849, 0.0026378278251172615, 0.5309019247035696] entrance_distance_Idelchik_l_Di = [0.0, 0.002, 0.005, 0.01, 0.02, 0.05, 0.1, 0.2, 0.3, 0.5, 10.0] # last point infinity entrance_distance_Idelchik_t_Di = [0.0, 0.004, 0.008, 0.012, 0.016, 0.02, 0.024, 0.03, 0.04, 0.05, 1.0] # last point infinity entrance_distance_Idelchik_dat = [ [0.5, 0.57, 0.63, 0.68, 0.73, 0.8, 0.86, 0.92, 0.97, 1, 1], [0.5, 0.54, 0.58, 0.63, 0.67, 0.74, 0.8, 0.86, 0.9, 0.94, 0.94], [0.5, 0.53, 0.55, 0.58, 0.62, 0.68, 0.74, 0.81, 0.85, 0.88, 0.88], [0.5, 0.52, 0.53, 0.55, 0.58, 0.63, 0.68, 0.75, 0.79, 0.83, 0.83], [0.5, 0.51, 0.51, 0.53, 0.55, 0.58, 0.64, 0.7, 0.74, 0.77, 0.77], [0.5, 0.51, 0.51, 0.52, 0.53, 0.55, 0.6, 0.66, 0.69, 0.72, 0.72], [0.5, 0.5, 0.5, 0.51, 0.52, 0.53, 0.58, 0.62, 0.65, 0.68, 0.68], [0.5, 0.5, 0.5, 0.51, 0.52, 0.52, 0.54, 0.57, 0.59, 0.61, 0.61], [0.5, 0.5, 0.5, 0.51, 0.51, 0.51, 0.51, 0.52, 0.52, 0.54, 0.54], [0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5], [0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5]] entrance_distance_Idelchik_tck = tck_interp2d_linear(entrance_distance_Idelchik_l_Di, entrance_distance_Idelchik_t_Di, entrance_distance_Idelchik_dat, kx=1, ky=1) entrance_distance_Idelchik_obj = lambda x, y: float(bisplev(x, y, entrance_distance_Idelchik_tck)) entrance_distance_Idelchik_obj = lambda x, y: bisplev(x, y, entrance_distance_Idelchik_tck) entrance_distance_Harris_t_Di = [0.00322, 0.007255, 0.01223, 0.018015, 0.021776, 0.029044, 0.039417, 0.049519, 0.058012, 0.066234, 0.076747, 0.088337, 0.098714, 0.109497, 0.121762, 0.130655, 0.14036, 0.148986, 0.159902, 0.17149, 0.179578, 0.189416, 0.200602, 0.208148, 0.217716, 0.228232, 0.239821, 0.250063, 0.260845, 0.270818, 0.280116, 0.289145] entrance_distance_Harris_Ks = [0.894574, 0.832435, 0.749768, 0.671543, 0.574442, 0.508432, 0.476283, 0.430261, 0.45027, 0.45474, 0.461993, 0.457042, 0.458745, 0.464889, 0.471594, 0.461638, 0.467778, 0.475024, 0.474509, 0.456239, 0.466258, 0.467959, 0.466336, 0.459705, 0.454746, 0.478092, 0.468701, 0.467074, 0.468779, 0.467151, 0.46441, 0.458894] entrance_distance_Harris_tck = implementation_optimize_tck([ [0.00322, 0.00322, 0.00322, 0.00322, 0.01223, 0.018015, 0.021776, 0.029044, 0.039417, 0.049519, 0.058012, 0.066234, 0.076747, 0.088337, 0.098714, 0.109497, 0.121762, 0.130655, 0.14036, 0.148986, 0.159902, 0.17149, 0.179578, 0.189416, 0.200602, 0.208148, 0.217716, 0.228232, 0.239821, 0.250063, 0.260845, 0.270818, 0.289145, 0.289145, 0.289145, 0.289145], [0.894574, 0.8607821362959746, 0.7418364422223542, 0.7071594764719331, 0.5230593641637336, 0.5053866365045014, 0.4869380604512194, 0.40993425463761973, 0.4588732899536263, 0.45115886608796796, 0.4672085434114074, 0.45422360120010624, 0.45882234693051327, 0.4633823025024543, 0.4785594597978615, 0.45603301615693537, 0.46825191653436804, 0.4759245648612374, 0.4816400424293727, 0.4467699156979281, 0.4713316096394432, 0.4667017151264001, 0.4686302748435692, 0.4597796190662107, 0.445267522727416, 0.491034205369033, 0.4641178520412072, 0.46721810151497395, 0.46958841021674314, 0.4664976446563455, 0.46420067427943945, 0.458894, 0.0, 0.0, 0.0, 0.0], 3]) entrance_distance_Harris_obj = lambda x : float(splev(x, entrance_distance_Harris_tck)) entrance_distance_methods = ['Rennels', 'Miller', 'Idelchik', 'Harris', 'Crane'] entrance_distance_unrecognized_msg = 'Specified method not recognized; methods are %s' %(entrance_distance_methods) def entrance_distance(Di, t=None, l=None, method='Rennels'): r'''Returns the loss coefficient for a sharp entrance to a pipe at a distance from the wall of a reservoir. This calculation has five methods available; all but 'Idelchik' require the pipe to be at least `Di/2` into the reservoir. The most conservative formulation is that of Rennels; with Miller being almost identical until `t/Di` reaches 0.05, when it continues settling to K = 0.53 compared to K = 0.57 for 'Rennels'. 'Idelchik' is offset lower by about 0.03 and settles to 0.50. The 'Harris' method is a straight interpolation from experimental results with smoothing, and it is the lowest at all points. The 'Crane' [6]_ method returns 0.78 for all cases. The Rennels [1]_ formula is: .. math:: K = 1.12 - 22\frac{t}{d} + 216\left(\frac{t}{d}\right)^2 + 80\left(\frac{t}{d}\right)^3 .. figure:: fittings/sharp_edged_entrace_extended_mount.png :scale: 30 % :alt: sharp edged entrace, extended mount; after [1]_ Parameters ---------- Di : float Inside diameter of pipe, [m] t : float, optional Thickness of pipe wall, used in all but 'Crane' method, [m] l : float, optional The distance the pipe extends into the reservoir; used only in the 'Idelchik' method, defaults to `Di`, [m] method : str, optional One of 'Rennels', 'Miller', 'Idelchik', 'Harris', 'Crane', [-] Returns ------- K : float Loss coefficient [-] Notes ----- This type of inlet is also known as a Borda's mouthpiece. It is not of practical interest according to [1]_. The 'Idelchik' [3]_ data is recommended in [5]_; it also provides rounded values for the 'Harris. method. .. plot:: plots/entrance_distance_plot.py Examples -------- >>> entrance_distance(Di=0.1, t=0.0005) 1.0154100000000001 >>> entrance_distance(Di=0.1, t=0.0005, method='Idelchik') 0.9249999999999999 >>> entrance_distance(Di=0.1, t=0.0005, l=.02, method='Idelchik') 0.8474999999999999 References ---------- .. [1] Rennels, Donald C., and Hobart M. Hudson. Pipe Flow: A Practical and Comprehensive Guide. 1st edition. Hoboken, N.J: Wiley, 2012. .. [2] Miller, Donald S. Internal Flow Systems: Design and Performance Prediction. Gulf Publishing Company, 1990. .. [3] Idel’chik, I. E. Handbook of Hydraulic Resistance: Coefficients of Local Resistance and of Friction (Spravochnik Po Gidravlicheskim Soprotivleniyam, Koeffitsienty Mestnykh Soprotivlenii i Soprotivleniya Treniya). National technical information Service, 1966. .. [4] Harris, Charles William. The Influence of Pipe Thickness on Re-Entrant Intake Losses. Vol. 48. University of Washington, 1928. .. [5] Blevins, Robert D. Applied Fluid Dynamics Handbook. New York, N.Y.: Van Nostrand Reinhold Co., 1984. .. [6] Crane Co. Flow of Fluids Through Valves, Fittings, and Pipe. Crane, 2009. ''' if method is None: method = 'Rennels' if method == 'Rennels': t_Di = t/Di if t_Di > 0.05: t_Di = 0.05 return 1.12 + t_Di*(t_Di*(80.0*t_Di + 216.0) - 22.0) elif method == 'Miller': t_Di = t/Di if t_Di > 0.3: t_Di = 0.3 return horner(entrance_distance_Miller_coeffs, 20.0/3.0*(t_Di - 0.15)) elif method == 'Idelchik': if l is None: l = Di t_Di = min(t/Di, 1.0) l_Di = min(l/Di, 10.0) K = float(entrance_distance_Idelchik_obj(l_Di, t_Di)) if K < 0.0: K = 0.0 return K elif method == 'Harris': ratio = min(t/Di, 0.289145) # max value for interpolation - extrapolation looks bad K = float(entrance_distance_Harris_obj(ratio)) return K elif method == 'Crane': return 0.78 else: raise ValueError(entrance_distance_unrecognized_msg) entrance_distance_45_Miller_coeffs = [1.866792110435199, -2.8873199398381075, -4.814715029513536, 10.49562589373457, 1.40401776402922, -14.035912282651882, 6.576826918678071, 7.854645523152614, -8.044860164646053, -1.1515885154512326, 4.145420152553604, -0.7994793202964967, -1.1034822877774095, 0.32764916637953573, 0.367065452438954, -0.2614447909010587, 0.29084476697430256] def entrance_distance_45_Miller(Di, Di0): r'''Returns loss coefficient for a sharp entrance to a pipe at a distance from the wall of a reservoir with an initial 45 degree slope conical section of diameter `Di0` added to reduce the overall loss coefficient. This method is as shown in Miller's Internal Flow Systems [1]_. This method is a curve fit to a graph in [1]_ which was digitized. Parameters ---------- Di : float Inside diameter of pipe, [m] Di0 : float Initial inner diameter of the welded conical section of the entrance of the distant (re-entrant) pipe, [m] Returns ------- K : float Loss coefficient with respect to the main pipe diameter `Di`, [-] Notes ----- The graph predicts an almost constant loss coefficient once the thickness of pipe wall to pipe diameter ratio becomes ~0.02. Examples -------- >>> entrance_distance_45_Miller(Di=0.1, Di0=0.14) 0.24407641818143339 References ---------- .. [1] Miller, Donald S. Internal Flow Systems: Design and Performance Prediction. Gulf Publishing Company, 1990. ''' t = 0.5*(Di0 - Di) t_Di = t/Di if t_Di > 0.3: t_Di = 0.3 return horner(entrance_distance_45_Miller_coeffs, 6.66666666666666696*(t_Di-0.15)) entrance_angled_methods = ['Idelchik'] entrance_angled_methods_missing = ('Specified method not recognized; methods are %s' %(entrance_angled_methods)) def entrance_angled(angle, method='Idelchik'): r'''Returns loss coefficient for a sharp, angled entrance to a pipe flush with the wall of a reservoir. First published in [2]_, it has been recommended in [3]_ as well as in [1]_. .. math:: K = 0.57 + 0.30\cos(\theta) + 0.20\cos(\theta)^2 .. figure:: fittings/entrance_mounted_at_an_angle.png :scale: 30 % :alt: entrace mounted at an angle; after [1]_ Parameters ---------- angle : float Angle of inclination (90° = straight, 0° = parallel to pipe wall), [degrees] method : str, optional The method to use; only 'Idelchik' is supported Returns ------- K : float Loss coefficient [-] Notes ----- Not reliable for angles under 20 degrees. Loss coefficient is the same for an upward or downward angled inlet. Examples -------- >>> entrance_angled(30) 0.9798076211353315 References ---------- .. [1] Rennels, Donald C., and Hobart M. Hudson. Pipe Flow: A Practical and Comprehensive Guide. 1st edition. Hoboken, N.J: Wiley, 2012. .. [2] Idel’chik, I. E. Handbook of Hydraulic Resistance: Coefficients of Local Resistance and of Friction (Spravochnik Po Gidravlicheskim Soprotivleniyam, Koeffitsienty Mestnykh Soprotivlenii i Soprotivleniya Treniya). National technical information Service, 1966. .. [3] Blevins, Robert D. Applied Fluid Dynamics Handbook. New York, N.Y.: Van Nostrand Reinhold Co., 1984. ''' if method == 'Idelchik' or method is None: cos_term = cos(deg2rad*angle) return 0.57 + cos_term*(0.2*cos_term + 0.3) else: raise ValueError(entrance_angled_methods_missing) entrance_rounded_Miller_coeffs = [1.3127209945178038, 0.19963046592715727, -6.49081916725612, -0.10347409377743588, 12.68369791325003, -0.9435681020599904 , -12.44320584089916, 1.328251365167716, 6.668390027065714, -0.4356382649470076, -2.209229212394282, -0.07222448354500295, 0.6786898049825905, -0.18686362789567468, 0.020064570486606065, -0.013120241146656442, 0.061951596342059975] entrance_rounded_ratios_Idelchik = [0, .01, .02, .03, .04, .05, .06, .08, .12, .16, .2] entrance_rounded_Ks_Idelchik = [.5, .44, .37, .31, .26, .22, .2, .15, .09, .06, .03] entrance_rounded_Idelchik_tck = implementation_optimize_tck([[0.0, 0.0, 0.0, 0.015, 0.025, 0.035, 0.045, 0.055, 0.07, 0.1, 0.14, 0.2, 0.2, 0.2], [0.5, 0.46003224474143023, 0.3682580956033294, 0.30877401146621397, 0.2590978355993873, 0.2166389749374616, 0.19717564973543905, 0.1332971654240214, 0.08659056691519569, 0.05396118560777325, 0.03, 0.0, 0.0, 0.0], 2]) entrance_rounded_Idelchik = lambda x : float(splev(x, entrance_rounded_Idelchik_tck)) entrance_rounded_ratios_Crane = [0.0, .02, .04, .06, .1, .15] entrance_rounded_Ks_Crane = [.5, .28, .24, .15, .09, .04] entrance_rounded_ratios_Harris = [0.0, .01, .02, .03, .04, .05, .06, .08, .12, .16] entrance_rounded_Ks_Harris = [.44, .35, .28, .22, .17, .13, .1, .07, .03, 0.0] entrance_rounded_Harris_tck = implementation_optimize_tck([[0.0, 0.0, 0.0, 0.015, 0.025, 0.035, 0.045, 0.055, 0.07, 0.1, 0.16, 0.16, 0.16], [0.44, 0.36435669860605086, 0.2790010365858813, 0.2187082142826953, 0.16874967771794716, 0.1287937194096216, 0.09091157742799895, 0.06354756460434334, 0.01885121769782832, 0.0, 0.0, 0.0, 0.0], 2]) entrance_rounded_Harris = lambda x : float(splev(x, entrance_rounded_Harris_tck)) entrance_rounded_methods = ['Rennels', 'Crane', 'Miller', 'Idelchik', 'Harris', 'Swamee'] entrance_rounded_methods_error = ('Specified method not recognized; methods are %s' %(entrance_rounded_methods)) def entrance_rounded(Di, rc, method='Rennels'): r'''Returns loss coefficient for a rounded entrance to a pipe flush with the wall of a reservoir. This calculation has six methods available. The most conservative formulation is that of Rennels; with the Swammee correlation being 0.02-0.07 lower. They were published in 2012 and 2008 respectively, and for this reason could be regarded as more reliable. The Idel'chik correlation appears based on the Hamilton data; and the Miller correlation as well, except a little more conservative. The Crane model trends similarly but only has a few points. The Harris data set is the lowest. The Rennels [1]_ formulas are: .. math:: K = 0.0696\left(1 - 0.569\frac{r}{d}\right)\lambda^2 + (\lambda-1)^2 .. math:: \lambda = 1 + 0.622\left(1 - 0.30\sqrt{\frac{r}{d}} - 0.70\frac{r}{d}\right)^4 The Swamee [5]_ formula is: .. math:: K = 0.5\left[1 + 36\left(\frac{r}{D}\right)^{1.2}\right]^{-1} .. figure:: fittings/flush_mounted_rounded_entrance.png :scale: 30 % :alt: rounded entrace mounted straight and flush; after [1]_ Parameters ---------- Di : float Inside diameter of pipe, [m] rc : float Radius of curvature of the entrance, [m] method : str, optional One of 'Rennels', 'Crane', 'Miller', 'Idelchik', 'Harris', or 'Swamee'. Returns ------- K : float Loss coefficient [-] Notes ----- For generously rounded entrance (rc/Di >= 1), the loss coefficient converges to 0.03 in the Rennels method. The Rennels formulation was derived primarily from data and theoretical analysis from different flow scenarios than a rounded pipe entrance; the only available data in [2]_ is quite old and [1]_ casts doubt on it. The Hamilton data set is available in [1]_ and [6]_. .. plot:: plots/entrance_rounded_plot.py Examples -------- Point from Diagram 9.2 in [1]_, which was used to confirm the Rennels model implementation: >>> entrance_rounded(Di=0.1, rc=0.0235) 0.09839534618360923 References ---------- .. [1] Rennels, Donald C., and Hobart M. Hudson. Pipe Flow: A Practical and Comprehensive Guide. 1st edition. Hoboken, N.J: Wiley, 2012. .. [2] Hamilton, James Baker. Suppression of Pipe Intake Losses by Various Degrees of Rounding. Seattle: Published by the University of Washington, 1929. https://search.library.wisc.edu/catalog/999823652202121. .. [3] Miller, Donald S. Internal Flow Systems: Design and Performance Prediction. Gulf Publishing Company, 1990. .. [4] Harris, Charles William. Elimination of Hydraulic Eddy Current Loss at Intake, Agreement of Theory and Experiment. University of Washington, 1930. .. [5] Swamee, Prabhata K., and Ashok K. Sharma. Design of Water Supply Pipe Networks. John Wiley & Sons, 2008. .. [6] Crane Co. Flow of Fluids Through Valves, Fittings, and Pipe. Crane, 2009. .. [7] Blevins, Robert D. Applied Fluid Dynamics Handbook. New York, N.Y.: Van Nostrand Reinhold Co., 1984. .. [8] Idel’chik, I. E. Handbook of Hydraulic Resistance: Coefficients of Local Resistance and of Friction (Spravochnik Po Gidravlicheskim Soprotivleniyam, Koeffitsienty Mestnykh Soprotivlenii i Soprotivleniya Treniya). National technical information Service, 1966. ''' if method is None: method = 'Rennels' ratio = rc/Di if method == 'Rennels': if ratio > 1.0: return 0.03 lbd = (1.0 - 0.30*sqrt(ratio) - 0.70*ratio) lbd *= lbd lbd = 1.0 + 0.622*lbd*lbd return 0.0696*(1.0 - 0.569*ratio)*lbd*lbd + (lbd - 1.0)*(lbd - 1.0) elif method == 'Swamee': return 0.5/(1.0 + 36.0*(ratio)**1.2) elif method == 'Crane': if ratio < 0: return 0.5 elif ratio > 0.15: return 0.04 else: return interp(ratio, entrance_rounded_ratios_Crane, entrance_rounded_Ks_Crane) elif method == 'Miller': if ratio > 0.3: ratio = 0.3 return horner(entrance_rounded_Miller_coeffs, (20.0/3.0)*(ratio - 0.15)) elif method == 'Harris': if ratio > .16: return 0.0 return float(splev(ratio, entrance_rounded_Harris_tck)) elif method == 'Idelchik': if ratio > .2: return entrance_rounded_Ks_Idelchik[-1] return float(splev(ratio, entrance_rounded_Idelchik_tck)) else: raise ValueError(entrance_rounded_methods_error) entrance_beveled_methods = ['Rennels', 'Idelchik'] entrance_beveled_methods_unknown_msg = 'Specified method not recognized; methods are %s' %entrance_beveled_methods entrance_beveled_Idelchik_l_Di = [0.025, 0.05, 0.075, 0.1, 0.15, 0.6] entrance_beveled_Idelchik_angles = [0.0, 10.0, 20.0, 30.0, 40.0, 60.0, 100.0, 140.0, 180.0] entrance_beveled_Idelchik_dat = [ [0.5, 0.47, 0.45, 0.43, 0.41, 0.4, 0.42, 0.45, 0.5], [0.5, 0.45, 0.41, 0.36, 0.33, 0.3, 0.35, 0.42, 0.5], [0.5, 0.42, 0.35, 0.3, 0.26, 0.23, 0.3, 0.4, 0.5], [0.5, 0.39, 0.32, 0.25, 0.22, 0.18, 0.27, 0.38, 0.5], [0.5, 0.37, 0.27, 0.2, 0.16, 0.15, 0.25, 0.37, 0.5], [0.5, 0.27, 0.18, 0.13, 0.11, 0.12, 0.23, 0.36, 0.5]] entrance_beveled_Idelchik_tck = tck_interp2d_linear(entrance_beveled_Idelchik_angles, entrance_beveled_Idelchik_l_Di, entrance_beveled_Idelchik_dat, kx=1, ky=1) entrance_beveled_Idelchik_obj = lambda x, y : float(bisplev(x, y, entrance_beveled_Idelchik_tck)) def entrance_beveled(Di, l, angle, method='Rennels'): r'''Returns loss coefficient for a beveled or chamfered entrance to a pipe flush with the wall of a reservoir. This calculation has two methods available. The 'Rennels' and 'Idelchik' methods have similar trends, but the 'Rennels' formulation is centered around a straight loss coefficient of 0.57, so it is normally at least 0.07 higher. The Rennels [1]_ formulas are: .. math:: K = 0.0696\left(1 - C_b\frac{l}{d}\right)\lambda^2 + (\lambda-1)^2 .. math:: \lambda = 1 + 0.622\left[1-1.5C_b\left(\frac{l}{d} \right)^{\frac{1-(l/d)^{1/4}}{2}}\right] .. math:: C_b = \left(1 - \frac{\theta}{90}\right)\left(\frac{\theta}{90} \right)^{\frac{1}{1+l/d}} .. figure:: fittings/flush_mounted_beveled_entrance.png :scale: 30 % :alt: Beveled entrace mounted straight; after [1]_ Parameters ---------- Di : float Inside diameter of pipe, [m] l : float Length of bevel measured parallel to the pipe length, [m] angle : float Angle of bevel with respect to the pipe length, [degrees] method : str, optional One of 'Rennels', or 'Idelchik', [-] Returns ------- K : float Loss coefficient [-] Notes ----- A cheap way of getting a lower pressure drop. Little credible data is available. The table of data in [2]_ uses the angle for both bevels, so it runs from 0 to 180 degrees; this function follows the convention in [1]_ which uses only one angle, with the angle varying from 0 to 90 degrees. .. plot:: plots/entrance_beveled_plot.py Examples -------- >>> entrance_beveled(Di=0.1, l=0.003, angle=45) 0.450868642219 >>> entrance_beveled(Di=0.1, l=0.003, angle=45, method='Idelchik') 0.399500000000 References ---------- .. [1] Rennels, Donald C., and Hobart M. Hudson. Pipe Flow: A Practical and Comprehensive Guide. 1st edition. Hoboken, N.J: Wiley, 2012. .. [2] Idel’chik, I. E. Handbook of Hydraulic Resistance: Coefficients of Local Resistance and of Friction (Spravochnik Po Gidravlicheskim Soprotivleniyam, Koeffitsienty Mestnykh Soprotivlenii i Soprotivleniya Treniya). National technical information Service, 1966. ''' if method is None: method = 'Rennels' if method == 'Rennels': Cb = (1-angle/90.)*(angle/90.)**(1./(1 + l/Di )) lbd = 1 + 0.622*(1 - 1.5*Cb*(l/Di)**((1 - sqrt(sqrt(l/Di)))/2.)) return 0.0696*(1 - Cb*l/Di)*lbd**2 + (lbd - 1.)**2 elif method == 'Idelchik': return float(bisplev(angle*2.0, l/Di, entrance_beveled_Idelchik_tck)) else: raise ValueError(entrance_beveled_methods_unknown_msg) def entrance_beveled_orifice(Di, do, l, angle): r'''Returns loss coefficient for a beveled or chamfered orifice entrance to a pipe flush with the wall of a reservoir, as shown in [1]_. .. math:: K = 0.0696\left(1 - C_b\frac{l}{d_o}\right)\lambda^2 + \left(\lambda -\left(\frac{d_o}{D_i}\right)^2\right)^2 .. math:: \lambda = 1 + 0.622\left[1-C_b\left(\frac{l}{d_o}\right)^{\frac{1- (l/d_o)^{0.25}}{2}}\right] .. math:: C_b = \left(1 - \frac{\Psi}{90}\right)\left(\frac{\Psi}{90} \right)^{\frac{1}{1+l/d_o}} .. figure:: fittings/flush_mounted_beveled_orifice_entrance.png :scale: 30 % :alt: Beveled orifice entrace mounted straight; after [1]_ Parameters ---------- Di : float Inside diameter of pipe, [m] do : float Inside diameter of orifice, [m] l : float Length of bevel measured parallel to the pipe length, [m] angle : float Angle of bevel with respect to the pipe length, [degrees] Returns ------- K : float Loss coefficient [-] Examples -------- >>> entrance_beveled_orifice(Di=0.1, do=.07, l=0.003, angle=45) 1.2987552913818574 References ---------- .. [1] Rennels, Donald C., and Hobart M. Hudson. Pipe Flow: A Practical and Comprehensive Guide. 1st edition. Hoboken, N.J: Wiley, 2012. ''' Cb = (1-angle/90.)*(angle/90.)**(1./(1 + l/do )) lbd = 1 + 0.622*(1 - Cb*(l/do)**((1 - sqrt(sqrt(l/do)))/2.)) return 0.0696*(1 - Cb*l/do)*lbd**2 + (lbd - (do/Di)**2)**2 ### Exits def exit_normal(): r'''Returns loss coefficient for any exit to a pipe as shown in [1]_ and in other sources. .. math:: K = 1 .. figure:: fittings/flush_mounted_exit.png :scale: 28 % :alt: Exit from a flush mounted wall; after [1]_ Returns ------- K : float Loss coefficient [-] Notes ----- It has been found on occasion that K = 2.0 for laminar flow, and ranges from about 1.04 to 1.10 for turbulent flow. Examples -------- >>> exit_normal() 1.0 References ---------- .. [1] Rennels, Donald C., and Hobart M. Hudson. Pipe Flow: A Practical and Comprehensive Guide. 1st edition. Hoboken, N.J: Wiley, 2012. ''' return 1.0 ### Bends tck_bend_rounded_Miller = implementation_optimize_tck([[0.500967, 0.500967, 0.500967, 0.500967, 0.5572659504420276, 0.6220535279438968, 0.6876695918008857, 0.8109956990835443, 0.8966138996017785, 1.0418136796591293, 1.2129808986390955, 1.4328097893561944, 2.684491977649823, 3.496050493509287, 4.245254058334557, 10.0581, 10.0581, 10.0581, 10.0581], [10.0022, 10.0022, 10.0022, 10.0022, 26.661576730080427, 35.71142422728946, 46.22896414495794, 54.476944091380965, 67.28681897720492, 79.96560467244989, 88.89484575805731, 104.37345376723293, 113.75217318286595, 121.36638011164008, 139.53481668808192, 180.502, 180.502, 180.502, 180.502], [0.02844925354339322, 0.032368056788003474, 0.06341726367587057, 0.18372991235687228, 0.27828335685928296, 0.4184452895626468, 0.5844709012848479, 0.8517327028006999, 1.0883889837806633, 1.003595822015052, 1.2959349743905006, 1.3631701864169843, 3.2579960738248563, 8.188259745620396, 6.370167194425542, 0.026614405579949103, 0.03578575879432178, 0.05399131725104529, 0.17357295746658216, 0.2597698136964017, 0.384398460262134, 0.5537955210508835, 0.842964805734998, 1.1076060802420074, 1.0500502914944205, 1.2160489773171173, 1.2940140217639442, 2.5150913200614293, 5.987790923112488, 4.791049223949247, 0.026866783841898684, 0.03061409809632371, 0.054698306220358, 0.14037162784411245, 0.23981090432386729, 0.31617091309760137, 0.47435842573782666, 0.7484605121106159, 0.9223888516911868, 1.0345139221619066, 1.0709769967277933, 1.1489283659291687, 1.4249255928619116, 2.6908421883082823, 2.3898833324508804, 0.019707980719056793, 0.03350958504709355, 0.0457699204936841, 0.1180773988295937, 0.18163838540491214, 0.2955424583244998, 0.3178086095370295, 0.54907384767895, 0.7497276995283433, 0.8353766950608585, 0.8907203653185313, 0.941376749552297, 0.8755423259796333, 0.8987849646797164, 0.9905785504810203, 0.018632197087313764, 0.0275473376021632, 0.046686663726990756, 0.09334625398868963, 0.15009471210360348, 0.21438462374865175, 0.310541469358518, 0.27652184608845864, 0.4703245212932829, 0.5612926929410017, 0.6344189573543495, 0.6897616299237337, 0.8553230255854581, 0.8050040042565408, 0.7800498994134173, 0.017040716941189974, 0.027163747207842776, 0.04233976165781228, 0.08546809847236579, 0.11872359104267481, 0.1748602349243538, 0.248787221592314, 0.3166892465009758, 0.2894990945943436, 0.35635089905047324, 0.3942719381041552, 0.4019846022857163, 0.4910888827789205, 0.4424331343990761, 0.5367477778555589, 0.017232689797500957, 0.024595005629126976, 0.04235982677436609, 0.0748705682747817, 0.11096283696103083, 0.13900984487771062, 0.18773056195495877, 0.2400721832034611, 0.28581377924973544, 0.282839816159864, 0.2907117502580411, 0.3035848810896592, 0.31268019467513564, 0.3365050687225188, 0.2836774098946595, 0.017462451480157917, 0.02373981127475937, 0.04248526591300313, 0.07305722078054935, 0.09424065630357203, 0.13682400355164548, 0.15020534827616405, 0.2100221959547714, 0.23136495625582817, 0.24417894312621574, 0.2505645472554214, 0.24143469557592281, 0.24722191256497117, 0.2195110087547775, 0.29557609063213136, 0.017605444779345832, 0.026265210174737128, 0.0445497171166642, 0.07254637551095446, 0.08779690828578819, 0.11992614224260065, 0.14501268843599757, 0.17386066713179812, 0.21657094190224363, 0.21594544490951023, 0.22661999176624517, 0.23759356544596819, 0.23887614636323537, 0.25802515101229484, 0.20566480389514516, 0.01928450591486404, 0.03264367752872495, 0.05391006363370407, 0.07430728218140033, 0.08818045730326454, 0.09978389535000864, 0.12544634357734885, 0.13365159719049172, 0.15802979203343911, 0.17543365869590444, 0.17531453508236272, 0.1706085325985479, 0.15983319357859727, 0.16872558079206196, 0.19799750352823683, 0.020835891827102552, 0.047105767455498285, 0.05307639179638059, 0.07839236342751181, 0.09519829368423402, 0.10189528661430994, 0.12852821694010982, 0.13195311029179943, 0.1594822363328695, 0.15660304273110143, 0.15934161651984413, 0.17702957118830723, 0.1892675345030034, 0.19710951153945122, 0.1897835097361326, 0.031571285288316195, 0.04810266172763896, 0.05660304311192384, 0.09317293919692342, 0.08967028392412497, 0.12028974875677166, 0.1182836264474129, 0.13845925262729528, 0.15739100571169004, 0.17649056196464383, 0.20171423738165223, 0.20947832805305883, 0.22837004534830094, 0.23661874048689152, 0.24537433391842686, 0.042992073811512765, 0.045958026954244176, 0.08988351069774198, 0.08320361205549355, 0.1253881915447805, 0.12765039447605908, 0.1632907944306065, 0.17922551055575348, 0.20436939408609628, 0.23133806857897737, 0.22837190631962206, 0.2611718034649056, 0.30462224139228183, 0.3277471634644065, 0.3595577208662931, 0.042671097083349346, 0.06027193387363409, 0.07182684474072856, 0.12072547771177115, 0.1331787059163636, 0.16137414417679433, 0.1780034002291815, 0.19820571860540606, 0.2294059556234193, 0.23221403415772682, 0.2697708431035234, 0.2813760107306456, 0.28992333749905363, 0.3650401400682786, 0.8993207970132076, 0.045660964207664585, 0.06299599466264151, 0.09193684371316964, 0.12747145786167088, 0.14606550538249963, 0.172664884028299, 0.19152378303841075, 0.2212007207927944, 0.23752800077573005, 0.26289800433018995, 0.2772198641539113, 0.2995308585350757, 0.3549459028594012, 0.8032461437896778, 3.330618601208751], 3, 3]) bend_rounded_Miller_Kb = lambda rc_D, angle : float(bisplev(rc_D, angle, tck_bend_rounded_Miller)) tck_bend_rounded_Miller_C_Re = implementation_optimize_tck([[4.0, 4.0, 4.0, 4.0, 8.0, 8.0, 8.0, 8.0], [1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0], [2.177340320782947, 2.185952396281732, 2.185952396281732, 2.1775876405173977, 0.6513348082098823, 0.7944713057222101, 0.7944713057222103, 1.0526247737400114, 0.6030278030721317, 1.3741240162063968, 1.3741240162063992, 0.7693594604301893, -2.1663631289607883, -1.9474318981548622, -1.9474318981548622, 0.4196741237602154], 3, 3]) bend_rounded_Miller_C_Re = lambda Re, rc_D : float(bisplev(log10(Re), rc_D, tck_bend_rounded_Miller_C_Re)) bend_rounded_Miller_C_Re_limit_1 = [2428087.757821312, -13637184.203693766, 28450331.830760233, -25496945.91463643, 8471761.477755375] tck_bend_rounded_Miller_C_o_0_1 = implementation_optimize_tck([[9.975803953769495e-06, 9.975803953769495e-06, 9.975803953769495e-06, 9.975803953769495e-06, 0.5259485989276764, 1.3157845547408782, 3.220104449183945, 6.133677908951886, 30.260656153593906, 30.260656153593906, 30.260656153593906, 30.260656153593906], [0.6179524338907976, 0.6000479624108129, 0.49299050530751654, 0.4820011733402483, 0.5584830305084972, 0.7496716557444135, 0.8977538553873484, 0.9987218804089956, 0.0, 0.0, 0.0, 0.0], 3]) tck_bend_rounded_Miller_C_o_0_15 = implementation_optimize_tck([[0.0025931401409935687, 0.0025931401409935687, 0.0025931401409935687, 0.0025931401409935687, 0.26429667728434275, 0.5188174292838083, 1.469212480387932, 4.269571348168375, 13.268280073552294, 26.28093462852014, 26.28093462852014, 26.28093462852014, 26.28093462852014], [0.8691924906711972, 0.8355177386350426, 0.7617588987656675, 0.5853012015918869, 0.5978128647571033, 0.7366100253604377, 0.8229203841913866, 0.9484887080989913, 1.0003643259424702, 0.0, 0.0, 0.0, 0.0], 3]) tck_bend_rounded_Miller_C_o_0_2 = implementation_optimize_tck([[-0.001273275512351991, -0.001273275512351991, -0.001273275512351991, - 0.001273275512351991, 0.36379835796750504, 0.7789151587713531, 1.7319487323386349, 3.559883175039053, 22.10600230228466, 22.10600230228466, 22.10600230228466, 22.10600230228466], [1.2055892891232, 1.1810797953131011, 0.8556056552110055, 0.6595884323229468, 0.6669634037761268, 0.8636791463334055, 0.8855712717206472, 0.9992625616471772, 0.0, 0.0, 0.0, 0.0], 3]) tck_bend_rounded_Miller_C_o_0_25 = implementation_optimize_tck([[0.0025931401409935687, 0.0025931401409935687, 0.0025931401409935687, 0.0025931401409935687, 0.2765978180291006, 0.5010875816968301, 0.6395222359284018, 0.661563946104784, 0.6887462820881093, 0.7312909084975013, 0.7605490601821624, 0.8078652661481783, 0.8553090397903271, 1.024376958429362, 1.4748577103270428, 2.052843716337269, 3.9670225184835175, 6.951737782758053, 16.770001745987884, 16.770001745987884, 16.770001745987884, 16.770001745987884], [2.7181584441006414, 2.6722855229796196, 2.510271857479865, 2.162580617260359, 1.8234805515473758, 1.5274137403431902, 1.3876379087140025, 1.2712745614209848, 1.1478416325256429, 1.015542018903243, 0.8445749706812837, 0.7368799268423506, 0.7061205857035833, 0.7381928947255646, 0.7960778489514514, 0.878729192230999, 0.9281388590439098, 0.9825611959699471, 0.0, 0.0, 0.0, 0.0], 3]) tck_bend_rounded_Miller_C_o_1_0 = implementation_optimize_tck([[0.0025931401409935687, 0.0025931401409935687, 0.0025931401409935687, 0.0025931401409935687, 0.4940382602529053, 0.7383107558560895, 0.8929948619544391, 0.9910262538499016, 1.1035407055233972, 1.2685727302009009, 2.190931635360523, 3.718073594472333, 6.026458907878363, 13.268280073552294, 13.268280073552294, 13.268280073552294, 13.268280073552294], [2.713127433391318, 2.6799201583608965, 2.4446034702691906, 2.0505313661892837, 1.7853408404592677, 1.5802763594858027, 1.395503315683405, 1.0504150726350026, 0.9294800209596744, 0.8937523212160566, 0.9339124388590752, 0.9769117997985829, 0.9948478073955791, 0.0, 0.0, 0.0, 0.0], 3]) tck_bend_rounded_Miller_C_os = (tck_bend_rounded_Miller_C_o_0_1, tck_bend_rounded_Miller_C_o_0_15, tck_bend_rounded_Miller_C_o_0_2, tck_bend_rounded_Miller_C_o_0_25, tck_bend_rounded_Miller_C_o_1_0) bend_rounded_Miller_C_o_Kbs = [.1, .15, .2, .25, 1] bend_rounded_Miller_C_o_limits = [30.260656153593906, 26.28093462852014, 22.10600230228466, 16.770001745987884, 13.268280073552294] bend_rounded_Miller_C_o_limit_0_01 = [0.6169055099514943, 0.8663244713199465, 1.2029584898712695, 2.7143438886138744, 2.7115417734646114] def Miller_bend_roughness_correction(Re, Di, roughness): # Section 9.2.4 - Roughness correction # Re limited to under 1E6 in friction factor falculations # Use a cached smooth fd value if Re too high Re_fd_min = min(1E6, Re) if Re_fd_min < 1E6: fd_smoth = friction_factor(Re=Re_fd_min, eD=0.0) else: fd_smoth = 0.011645040997991626 fd_rough = friction_factor(Re=Re_fd_min, eD=roughness/Di) C_roughness = fd_rough/fd_smoth return C_roughness def Miller_bend_unimpeded_correction(Kb, Di, L_unimpeded): """Limitations as follows: * Ratio not over 30 * If ratio under 0.01, tabulated values are used near the limits (discontinuity in graph anyway) * If ratio for a tried curve larger than max value, max value is used instead of calculating it * Kb limited to between 0.1 and 1.0 * When between two Kb curves, interpolate linearly after evaluating both splines appropriately """ if Kb < 0.1: Kb_C_o = 0.1 elif Kb > 1: Kb_C_o = 1.0 else: Kb_C_o = Kb L_unimpeded_ratio = L_unimpeded/Di if L_unimpeded_ratio > 30: L_unimpeded_ratio = 30.0 for i in range(len(bend_rounded_Miller_C_o_Kbs)): Kb_low, Kb_high = bend_rounded_Miller_C_o_Kbs[i], bend_rounded_Miller_C_o_Kbs[i+1] if Kb_low <= Kb_C_o <= Kb_high: if L_unimpeded_ratio >= bend_rounded_Miller_C_o_limits[i]: Co_low = 1.0 elif L_unimpeded_ratio <= 0.01: Co_low = bend_rounded_Miller_C_o_limit_0_01[i] else: Co_low = float(splev(L_unimpeded_ratio, tck_bend_rounded_Miller_C_os[i])) if L_unimpeded_ratio >= bend_rounded_Miller_C_o_limits[i+1]: Co_high = 1.0 elif L_unimpeded_ratio <= 0.01: Co_high = bend_rounded_Miller_C_o_limit_0_01[i+1] else: Co_high = float(splev(L_unimpeded_ratio, tck_bend_rounded_Miller_C_os[i+1])) C_o = Co_low + (Kb_C_o - Kb_low)*(Co_high - Co_low)/(Kb_high - Kb_low) return C_o def bend_rounded_Miller(Di, angle, Re, rc=None, bend_diameters=None, roughness=0.0, L_unimpeded=None): r'''Calculates the loss coefficient for a rounded pipe bend according to Miller [1]_. This is a sophisticated model which uses corrections for pipe roughness, the length of the pipe downstream before another interruption, and a correction for Reynolds number. It interpolates several times using several corrections graphs in [1]_. Parameters ---------- Di : float Inside diameter of pipe, [m] angle : float Angle of bend, [degrees] Re : float Reynolds number of the pipe (no specification if inlet or outlet properties should be used), [m] rc : float, optional Radius of curvature of the entrance, [m] bend_diameters : float, optional Number of diameters of pipe making up the bend radius (used if rc not provided; defaults to 5), [-] roughness : float, optional Roughness of bend wall, [m] L_unimpeded : float, optional The length of unimpeded pipe without any fittings, instrumentation, or flow disturbances downstream (assumed 20 diameters if not specified), [m] Returns ------- K : float Loss coefficient [-] Notes ----- When inputting bend diameters, note that manufacturers often specify this as a multiplier of nominal diameter, which is different than actual diameter. Those require that rc be specified. `rc` is limited to 0.5 or above; which represents a sharp, square, inner edge - and an outer bend radius of 1.0. Losses are at a minimum when this value is large. This was developed for bend angles between 10 and 180 degrees; and r/D ratios between 0.5 and 10. Both smooth and rough data was used in its development from several sources. Note the loss coefficient includes the surface friction of the pipe as if it was straight. Examples -------- >>> bend_rounded_Miller(Di=.6, bend_diameters=2, angle=90, Re=2e6, ... roughness=2E-5, L_unimpeded=30*.6) 0.15261820705145895 References ---------- .. [1] Miller, Donald S. Internal Flow Systems: Design and Performance Prediction. Gulf Publishing Company, 1990. ''' if rc is None: if bend_diameters is None: bend_diameters = 5.0 rc = Di*bend_diameters radius_ratio = rc/Di if L_unimpeded is None: # Assumption - smooth outlet L_unimpeded = 20.0*Di # Graph is defined for angles 10 to 180 degrees, ratios 0.5 to 10 if radius_ratio < 0.5: radius_ratio = 0.5 if radius_ratio > 10.0: radius_ratio = 10.0 if angle < 10.0: angle = 10.0 # Curve fit in terms of degrees # Caching could work here - angle, radius ratio does not change often Kb = bend_rounded_Miller_Kb(radius_ratio, angle) C_roughness = Miller_bend_roughness_correction(Re=Re, Di=Di, roughness=roughness) '''Section 9.2.2 - Reynolds Number Correction Allow some extrapolation up to 1E8 (1E7 max in graph but the trend looks good) ''' Re_C_Re = min(max(Re, 1E4), 1E8) if radius_ratio >= 2.0: if Re_C_Re == 1E8: C_Re = 0.4196741237602154 # bend_rounded_Miller_C_Re(1e8, 2.0) elif Re_C_Re == 1E4: C_Re = 2.1775876405173977 # bend_rounded_Miller_C_Re(1e4, 2.0) else: C_Re = bend_rounded_Miller_C_Re(Re_C_Re, 2.0) elif radius_ratio <= 1.0: # newton(lambda x: bend_rounded_Miller_C_Re(x, 1.0)-1, 2e5) to get the boundary value C_Re_1 = bend_rounded_Miller_C_Re(Re_C_Re, 1.0) if Re_C_Re < 207956.58904584477 else 1.0 if radius_ratio > 0.7 or Kb < 0.4: C_Re = C_Re_1 else: C_Re = Kb/(Kb - 0.2*C_Re_1 + 0.2) if C_Re > 2.2 or C_Re < 0: C_Re = 2.2 else: # regardless of ratio - 1 if Re_C_Re > 1048884.4656835075: C_Re = 1.0 elif Re_C_Re > horner(bend_rounded_Miller_C_Re_limit_1, radius_ratio): C_Re = 1.0 # ps = np.linspace(1, 2) # qs = [secant(lambda x: bend_rounded_Miller_C_Re(x, i)-1, 2e5) for i in ps] # np.polyfit(ps, qs, 4).tolist() # Line of C_Re=1 as a function of r_d between 0 and 1 else: C_Re = bend_rounded_Miller_C_Re(Re_C_Re, radius_ratio) C_o = Miller_bend_unimpeded_correction(Kb=Kb, Di=Di, L_unimpeded=L_unimpeded) # print('Kb=%g, C Re=%g, C rough =%g, Co=%g' %(Kb, C_Re, C_roughness, C_o)) return Kb*C_Re*C_roughness*C_o bend_rounded_Crane_ratios = [1.0, 1.5, 2.0, 3.0, 4.0, 6.0, 8.0, 10.0, 12.0, 14.0, 16.0, 20.0] bend_rounded_Crane_fds = [20.0, 14.0, 12.0, 12.0, 14.0, 17.0, 24.0, 30.0, 34.0, 38.0, 42.0, 50.0] bend_rounded_Crane_coeffs = [111.75011378177442, -331.89911345404107, -27.841951521656483, 1066.8916917931147, -857.8702190626232, -1151.4621655498092, 1775.2416673594603, 216.37911821941805, -1458.1661519377653, 447.169127650163, 515.361158769082, -322.58377486107577, -38.38349416327068, 71.12796602489138, -16.198233745350535, 19.377150177339015, 31.107110520349494] def bend_rounded_Crane(Di, angle, rc=None, bend_diameters=None): r'''Calculates the loss coefficient for any rounded bend in a pipe according to the Crane TP 410M [1]_ method. This method effectively uses an interpolation from tabulated values in [1]_ for friction factor multipliers vs. curvature radius. .. figure:: fittings/bend_rounded.png :scale: 30 % :alt: rounded bend; after [1]_ Parameters ---------- Di : float Inside diameter of pipe, [m] angle : float Angle of bend, [degrees] rc : float, optional Radius of curvature of the entrance; specify either `rc` or `bend_diameters`, optional [m] bend_diameters : float, optional Number of diameters of pipe making up the bend radius; specify either `rc` or `bend_diameters`, [-] Returns ------- K : float Loss coefficient [-] Notes ----- The Crane method does match the trend of increased pressure drop as roughness increases. The points in [1]_ are extrapolated to other angles via a well-fitting Chebyshev approximation, whose accuracy can be seen in the below plot. .. plot:: plots/bend_rounded_Crane_plot.py Examples -------- >>> bend_rounded_Crane(Di=.4020, rc=.4*5, angle=30) 0.09321910015613409 References ---------- .. [1] Crane Co. Flow of Fluids Through Valves, Fittings, and Pipe. Crane, 2009. ''' if (rc is not None and bend_diameters is not None): # numba: delete if abs(Di*bend_diameters/rc - 1.0) > 1e-12: # numba: delete raise ValueError("Cannot specify both `rc` and `bend_diameters`") # numba: delete if rc is None: if bend_diameters is None: bend_diameters = 5.0 rc = Di*bend_diameters fd = ft_Crane(Di) radius_ratio = rc/Di if radius_ratio < 1.0: radius_ratio = 1.0 elif radius_ratio > 20.0: radius_ratio = 20.0 factor = horner(bend_rounded_Crane_coeffs, 0.105263157894736836*(radius_ratio - 10.5)) K = fd*factor K = (angle/90.0 - 1.0)*(0.25*pi*fd*radius_ratio + 0.5*K) + K return K _Ito_angles = [45.0, 90.0, 180.0] def bend_rounded_Ito(Di, angle, Re, rc=None, bend_diameters=None, roughness=0.0): """Ito method as shown in Blevins. Curved friction factor as given in Blevins, with minor tweaks to be more accurate to the original methods. """ if not rc: if bend_diameters is None: bend_diameters = 5.0 rc = Di*bend_diameters radius_ratio = rc/Di angle_rad = radians(angle) De2 = Re*(Di/rc)**2.0 if rc > 50.0*Di: alpha = 1.0 else: # Alpha is up to 6, as ratio gets higher, can go down to 1 alpha_45 = 1.0 + 5.13*(Di/rc)**1.47 alpha_90 = 0.95 + 4.42*(Di/rc)**1.96 if rc/Di < 9.85 else 1.0 alpha_180 = 1.0 + 5.06*(Di/rc)**4.52 alpha = interp(angle, _Ito_angles, [alpha_45, alpha_90, alpha_180]) if De2 <= 360.0: fc = friction_factor_curved(Re=Re, Di=Di, Dc=2.0*rc, roughness=roughness, Rec_method='Srinivasan', laminar_method='White', turbulent_method='Srinivasan turbulent') K = 0.0175*alpha*fc*angle*rc/Di else: K = 0.00431*alpha*angle*Re**-0.17*(rc/Di)**0.84 return K crane_standard_bend_angles = [45.0, 90.0, 180.0] crane_standard_bend_losses = [16.0, 30.0, 50.0] bend_rounded_methods = ['Rennels', 'Crane', 'Crane standard', 'Miller', 'Swamee', 'Ito'] bend_rounded_method_unknown = 'Specified method not recognized; methods are %s' %(bend_rounded_methods) def bend_rounded(Di, angle, fd=None, rc=None, bend_diameters=None, Re=None, roughness=0.0, L_unimpeded=None, method='Rennels'): r'''Returns loss coefficient for rounded bend in a pipe of diameter `Di`, `angle`, with a specified either radius of curvature `rc` or curvature defined by `bend_diameters`, Reynolds number `Re` and optionally pipe roughness, unimpeded length downstrean, and with the specified method. This calculation has six methods available. It is hard to describe one method as more conservative than another as depending on the conditions, the relative results change significantly. The 'Miller' method is the most complicated and slowest method; the 'Ito' method comprehensive as well and a source of original data, and the primary basis for the 'Rennels' method. The 'Swamee' method is very simple and generally does not match the other methods. The 'Crane' method may match or not match other methods depending on the inputs. There is also a 'Crane standard' method for use with threaded fittings which have higher pressure drops. It is a linear interpolation of values at angles of 45, 90, and 180 degrees. The Rennels [1]_ formula is: .. math:: K = f\alpha\frac{r}{d} + (0.10 + 2.4f)\sin(\alpha/2) + \frac{6.6f(\sqrt{\sin(\alpha/2)}+\sin(\alpha/2))} {(r/d)^{\frac{4\alpha}{\pi}}} The Swamee [5]_ formula is: .. math:: K = \left[0.0733 + 0.923 \left(\frac{d}{rc}\right)^{3.5} \right] \theta^{0.5} .. figure:: fittings/bend_rounded.png :scale: 30 % :alt: rounded bend; after [1]_ Parameters ---------- Di : float Inside diameter of pipe, [m] angle : float Angle of bend, [degrees] fd : float, optional Darcy friction factor; used only in Rennels method; calculated if not provided from Reynolds number, diameter, and roughness [-] rc : float, optional Radius of curvature of the entrance, optional [m] bend_diameters : float, optional (used if rc not provided) Number of diameters of pipe making up the bend radius [-] Re : float, optional Reynolds number of the pipe (used in Miller, Ito methods primarily, and Rennels method if no friction factor given), [-] roughness : float, optional Roughness of bend wall (used in Miller, Ito methods primarily, and Rennels method if no friction factor given), [m] L_unimpeded : float, optional The length of unimpeded pipe without any fittings, instrumentation, or flow disturbances downstream (assumed 20 diameters if not specified); used only in Miller method, [m] method : str, optional One of 'Rennels', 'Miller', 'Crane', 'Crane standard', 'Ito', or 'Swamee', [-] Returns ------- K : float Loss coefficient [-] Notes ----- When inputting bend diameters, note that manufacturers often specify this as a multiplier of nominal diameter, which is different than actual diameter. Those require that rc be specified. In the 'Rennels' method, `rc` is limited to 0.5 or above; which represents a sharp, square, inner edge - and an outer bend radius of 1.0. Losses are at a minimum when this value is large. Its first term represents surface friction loss; the second, secondary flows; and the third, flow separation. It encompasses the entire range of elbow and pipe bend configurations. It was developed for bend angles between 0 and 180 degrees; and r/D ratios above 0.5. Only smooth pipe data was used in its development. Note the loss coefficient includes the surface friction of the pipe as if it was straight. Examples -------- >>> bend_rounded(Di=4.020, rc=4.0*5, angle=30, Re=1E5) 0.11519070808085191 References ---------- .. [1] Rennels, Donald C., and Hobart M. Hudson. Pipe Flow: A Practical and Comprehensive Guide. 1st edition. Hoboken, N.J: Wiley, 2012. .. [2] Miller, Donald S. Internal Flow Systems: Design and Performance Prediction. Gulf Publishing Company, 1990. .. [3] Crane Co. Flow of Fluids Through Valves, Fittings, and Pipe. Crane, 2009. .. [4] Swamee, Prabhata K., and Ashok K. Sharma. Design of Water Supply Pipe Networks. John Wiley & Sons, 2008. .. [5] ItoÌ„, H."Pressure Losses in Smooth Pipe Bends." Journal of Fluids Engineering 82, no. 1 (March 1, 1960): 131-40. doi:10.1115/1.3662501 .. [6] Blevins, Robert D. Applied Fluid Dynamics Handbook. New York, N.Y.: Van Nostrand Reinhold Co., 1984. ''' if method is None: method = 'Rennels' if bend_diameters is None and rc is None: bend_diameters = 5.0 if rc is None: rc = Di*bend_diameters if method == 'Rennels': angle = radians(angle) if fd is None: if Re is None: raise ValueError("The `Rennels` method requires either a " "specified friction factor or `Re`") fd = Clamond(Re=Re, eD=roughness/Di, fast=False) sin_term = sin(0.5*angle) return (fd*angle*rc/Di + (0.10 + 2.4*fd)*sin_term + 6.6*fd*(sqrt(sin_term) + sin_term)/(rc/Di)**(4.*angle/pi)) elif method == 'Miller': if Re is None: raise ValueError('Miller method requires Reynolds number') return bend_rounded_Miller(Di=Di, angle=angle, Re=Re, rc=rc, bend_diameters=bend_diameters, roughness=roughness, L_unimpeded=L_unimpeded) elif method == 'Crane': return bend_rounded_Crane(Di=Di, angle=angle, rc=rc, bend_diameters=bend_diameters) elif method == 'Crane standard': return ft_Crane(Di)*interp(angle, crane_standard_bend_angles, crane_standard_bend_losses, extrapolate=True) elif method == 'Ito': if Re is None: raise ValueError("The `Iso` method requires`Re`") return bend_rounded_Ito(Di=Di, angle=angle, Re=Re, rc=rc, bend_diameters=bend_diameters, roughness=roughness) elif method == 'Swamee': return (0.0733 + 0.923*(Di/rc)**3.5)*sqrt(radians(angle)) else: raise ValueError(bend_rounded_method_unknown) bend_miter_Miller_coeffs = [-12.050299402650126, -4.472433689233185, 50.51478860493546, 18.246302079077196, -84.61426660754049, -28.9340865412371, 71.07345367553872, 21.354010992349565, -30.239604839338, -5.855129345095336, 5.465131779316523, -1.0881363712712555, -0.3635431075401224, 0.5120065303391261, 0.46818214491579246, 0.9789177645343993, 0.5080285124448385] def bend_miter_Miller(Di, angle, Re, roughness=0.0, L_unimpeded=None): r'''Calculates the loss coefficient for a single miter bend according to Miller [1]_. This is a sophisticated model which uses corrections for pipe roughness, the length of the pipe downstream before another interruption, and a correction for Reynolds number. It interpolates several times using several corrections graphs in [1]_. Parameters ---------- Di : float Inside diameter of pipe, [m] angle : float Angle of miter bend, [degrees] Re : float Reynolds number of the pipe (no specification if inlet or outlet properties should be used), [m] roughness : float, optional Roughness of bend wall, [m] L_unimpeded : float, optional The length of unimpeded pipe without any fittings, instrumentation, or flow disturbances downstream (assumed 20 diameters if not specified), [m] Returns ------- K : float Loss coefficient [-] Notes ----- Note the loss coefficient includes the surface friction of the pipe as if it was straight. Examples -------- >>> bend_miter_Miller(Di=.6, angle=90, Re=2e6, roughness=2e-5, ... L_unimpeded=30*.6) 1.1921574594947664 References ---------- .. [1] Miller, Donald S. Internal Flow Systems: Design and Performance Prediction. Gulf Publishing Company, 1990. ''' if L_unimpeded is None: L_unimpeded = 20.0*Di if angle > 120.0: angle = 120.0 Kb = horner(bend_miter_Miller_coeffs, 1.0/60.0*(angle-60.0)) C_o = Miller_bend_unimpeded_correction(Kb=Kb, Di=Di, L_unimpeded=L_unimpeded) C_roughness = Miller_bend_roughness_correction(Re=Re, Di=Di, roughness=roughness) Re_C_Re = min(max(Re, 1E4), 1E8) C_Re_1 = bend_rounded_Miller_C_Re(Re_C_Re, 1.0) if Re_C_Re < 207956.58904584477 else 1.0 C_Re = Kb/(Kb - 0.2*C_Re_1 + 0.2) if C_Re > 2.2 or C_Re < 0: C_Re = 2.2 return Kb*C_Re*C_roughness*C_o bend_miter_Crane_angles = [0.0, 15.0, 30.0, 45.0, 60.0, 75.0, 90.0] bend_miter_Crane_fds = [2.0, 4.0, 8.0, 15.0, 25.0, 40.0, 60.0] bend_miter_Blevins_angles = [0.0, 10.0, 20.0, 30.0, 40.0, 50.0, 60.0, 70.0, 80.0, 90.0, 120.0] bend_miter_Blevins_Ks = [0.0, .025, .055, .1, .2, .35, .5, .7, .9, 1.1, 1.5] bend_miter_methods = ['Rennels', 'Miller', 'Crane', 'Blevins'] bend_miter_method_unknown_msg = 'Specified method not recognized; methods are %s' %(bend_miter_methods) def bend_miter(angle, Di=None, Re=None, roughness=0.0, L_unimpeded=None, method='Rennels'): r'''Returns loss coefficient for any single-joint miter bend in a pipe of angle `angle`, diameter `Di`, Reynolds number `Re`, roughness `roughness` unimpeded downstream length `L_unimpeded`, and using the specified method. This calculation has four methods available. The 'Rennels' method is based on a formula and extends to angles up to 150 degrees. The 'Crane' method extends only to 90 degrees; the 'Miller' and 'Blevins' methods extend to 120 degrees. The Rennels [1]_ formula is: .. math:: K = 0.42\sin(\alpha/2) + 2.56\sin^3(\alpha/2) The 'Crane', 'Miller', and 'Blevins' methods are all in part graph or tabular based and do not have straightforward formulas. .. figure:: fittings/bend_miter.png :scale: 25 % :alt: Miter bend, one joint only; after [1]_ Parameters ---------- angle : float Angle of bend, [degrees] Di : float, optional Inside diameter of pipe, [m] Re : float, optional Reynolds number of the pipe (no specification if inlet or outlet properties should be used), [-] roughness : float, optional Roughness of bend wall, [m] L_unimpeded : float, optional The length of unimpeded pipe without any fittings, instrumentation, or flow disturbances downstream (assumed 20 diameters if not specified), [m] method : str, optional The specified method to use; one of 'Rennels', 'Miller', 'Crane', or 'Blevins', [-] Returns ------- K : float Loss coefficient with respect to either upstream or downstream diameter, [-] Notes ----- This method is designed only for single-jointed miter bends. It is common for miter bends to have two or three sections, to further reduce the loss coefficient. Some methods exist in [2]_ for taking this into account. Because the additional configurations reduce the pressure loss, it is "common practice" to simply ignore their effect and accept the slight overdesign. The following figure illustrates the different methods. .. plot:: plots/bend_miter_plot.py Examples -------- >>> bend_miter(150) 2.7128147734758103 >>> bend_miter(Di=.6, angle=45, Re=1e6, roughness=1e-5, L_unimpeded=20, ... method='Miller') 0.2944060416245169 References ---------- .. [1] Rennels, Donald C., and Hobart M. Hudson. Pipe Flow: A Practical and Comprehensive Guide. 1st edition. Hoboken, N.J: Wiley, 2012. .. [2] Miller, Donald S. Internal Flow Systems: Design and Performance Prediction. Gulf Publishing Company, 1990. .. [3] Crane Co. Flow of Fluids Through Valves, Fittings, and Pipe. Crane, 2009. .. [4] Blevins, Robert D. Applied Fluid Dynamics Handbook. New York, N.Y.: Van Nostrand Reinhold Co., 1984. ''' if method is None: method = 'Rennels' if method == 'Rennels': angle_rad = radians(angle) sin_half_angle = sin(angle_rad*0.5) return 0.42*sin_half_angle + 2.56*sin_half_angle*sin_half_angle*sin_half_angle elif method == 'Crane': factor = interp(angle, bend_miter_Crane_angles, bend_miter_Crane_fds) return ft_Crane(Di)*factor elif method == 'Miller': return bend_miter_Miller(Di=Di, angle=angle, Re=Re, roughness=roughness, L_unimpeded=L_unimpeded) elif method == 'Blevins': # data from Idelchik, Miller, an earlier ASME publication # For 90-120 degrees, a polynomial/spline would be better than a linear fit K_base = interp(angle, bend_miter_Blevins_angles, bend_miter_Blevins_Ks) return K_base*(2E5/Re)**0.2 else: raise ValueError(bend_miter_method_unknown_msg) def helix(Di, rs, pitch, N, fd): r'''Returns loss coefficient for any size constant-pitch helix as shown in [1]_. Has applications in immersed coils in tanks. .. math:: K = N \left[f\frac{\sqrt{(2\pi r)^2 + p^2}}{d} + 0.20 + 4.8 f\right] Parameters ---------- Di : float Inside diameter of pipe, [m] rs : float Radius of spiral, [m] pitch : float Distance between two subsequent coil centers, [m] N : float Number of coils in the helix [-] fd : float Darcy friction factor [-] Returns ------- K : float Loss coefficient [-] Notes ----- Formulation based on peak secondary flow as in two 180 degree bends per coil. Flow separation ignored. No f, Re, geometry limitations. Source not compared against others. Examples -------- >>> helix(Di=0.01, rs=0.1, pitch=.03, N=10, fd=.0185) 14.525134924495514 References ---------- .. [1] Rennels, Donald C., and Hobart M. Hudson. Pipe Flow: A Practical and Comprehensive Guide. 1st edition. Hoboken, N.J: Wiley, 2012. ''' return N*(fd*sqrt((2*pi*rs)**2 + pitch**2)/Di + 0.20 + 4.8*fd) def spiral(Di, rmax, rmin, pitch, fd): r'''Returns loss coefficient for any size constant-pitch spiral as shown in [1]_. Has applications in immersed coils in tanks. .. math:: K = \frac{r_{max} - r_{min}}{p} \left[ f\pi\left(\frac{r_{max} +r_{min}}{d}\right) + 0.20 + 4.8f\right] + \frac{13.2f}{(r_{min}/d)^2} Parameters ---------- Di : float Inside diameter of pipe, [m] rmax : float Radius of spiral at extremity, [m] rmin : float Radius of spiral at end near center, [m] pitch : float Distance between two subsequent coil centers, [m] fd : float Darcy friction factor [-] Returns ------- K : float Loss coefficient [-] Notes ----- Source not compared against others. Examples -------- >>> spiral(Di=0.01, rmax=.1, rmin=.02, pitch=.01, fd=0.0185) 7.950918552775473 References ---------- .. [1] Rennels, Donald C., and Hobart M. Hudson. Pipe Flow: A Practical and Comprehensive Guide. 1st edition. Hoboken, N.J: Wiley, 2012. ''' return (rmax-rmin)/pitch*(fd*pi*(rmax+rmin)/Di + 0.20 + 4.8*fd) + 13.2*fd/(rmin/Di)**2 ### Contractions tck_contraction_abrupt_Miller = implementation_optimize_tck([ [0.0, 0.0, 0.0, 0.0, 0.5553844358576507, 0.7193937784550933, 0.8144518359319883, 1.0, 1.0, 1.0, 1.0], [0.0, 0.0, 0.0, 0.0, 0.008318525134414716, 0.03421785904690331, 0.1, 0.1, 0.1, 0.1], [0.4994829280256306, 0.4879234090312588, 0.4255534701302917, 0.13986792857000196, 0.18065199312360336, 0.08701863105570044, 0.440886271558411, 0.4243716649409474, 0.36030826702480984, 0.2117960027770777, 0.11248601502220595, 0.08616608643911047, 0.4018850813314268, 0.3706136100344715, 0.26368725187530173, 0.15316562777200723, 0.09856904494833027, 0.08399367477431015, 0.17005190739488515, 0.16023910724406945, 0.1242906181281536, 0.06137573180850665, 0.05726821990215439, 0.04684229988854647, 0.03922553704852396, 0.036955938945600654, 0.029450340285188167, 0.028656302938315878, 0.019588760093397686, 0.01950497484044149, 0.006447273360860872, 0.006569278508667471, 0.0053786079483153885, -0.013158950566037957, 0.010870991979047888, 0.0015100946100218284, -0.0005221250682760256, -0.0006447517875307877, -0.0007846123907797336, 0.0024459067063225485, -0.0019102888752274472, -0.0001356300464508266], 3, 3]) def contraction_round_Miller(Di1, Di2, rc): r'''Returns loss coefficient for any round edged pipe contraction using the method of Miller [1]_. This method uses a spline fit to a graph with area ratios 0 to 1, and radius ratios (rc/Di2) from 0.1 to 0. Parameters ---------- Di1 : float Inside diameter of original pipe, [m] Di2 : float Inside diameter of following pipe, [m] rc : float Radius of curvature of the contraction, [m] Returns ------- K : float Loss coefficient in terms of the following pipe, [-] Notes ----- This method normally gives lower losses than the Rennels formulation. Examples -------- >>> contraction_round_Miller(Di1=1, Di2=0.4, rc=0.04) 0.08565953051298639 References ---------- .. [1] Miller, Donald S. Internal Flow Systems: Design and Performance Prediction. Gulf Publishing Company, 1990. ''' A_ratio = Di2*Di2/(Di1*Di1) radius_ratio = rc/Di2 if radius_ratio > 0.1: radius_ratio = 0.1 Ks = float(bisplev(A_ratio, radius_ratio, tck_contraction_abrupt_Miller)) # For some near-1 ratios, can get negative Ks due to the spline. if Ks < 0.0: Ks = 0.0 return Ks contraction_sharp_methods = ['Rennels', 'Hooper', 'Crane'] contraction_sharp_method_unknown = 'Specified method not recognized; methods are %s' %(contraction_sharp_methods) def contraction_sharp(Di1, Di2, fd=None, Re=None, roughness=0.0, method='Rennels'): r'''Returns loss coefficient for a sharp edged pipe contraction. This calculation has two methods available. The 'Rennels' [2]_ method is a fit for turbulent regimes, while the `Hooper` method is more complicated and claims to have full dependence on `Re` including a laminar transition at `Re` of 2500 (based on the original pipe diameter). The Rennels [1]_ formulas are: .. math:: K_1 = 0.0696(1-\beta^5)\lambda^2 + (\lambda-1)^2 .. math:: \lambda = 1 + 0.622(1-0.215\beta^2 - 0.785\beta^5) .. math:: \beta = d_2/d_1 The Hooper [1]_ formulas are: If :math:`{Re}_1 \le 2500`: .. math:: K_1 = \left[1.2 + \frac{160}{\text{Re}_1}\right] \left[ \left(\frac{D_1} {D_2} \right)^4 -1 \right] If :math:`{Re}_1 > 2500`: .. math:: K_1 = \left[0.6 + 0.48f_1\right] \left(\frac{D_1} {D_2} \right)^2 \left[ \left(\frac{D_1} {D_2} \right)^2 -1 \right] Converting the loss coefficient to a consistent basis: .. math:: K_2 = K_1\frac{D_2^4}{D_1^4} For the Crane formula see `contraction_conical_Crane` with a length of zero. .. figure:: fittings/contraction_sharp.png :scale: 40 % :alt: Sharp contraction Parameters ---------- Di1 : float Inside diameter of original (larger) pipe, [m] Di2 : float Inside diameter of following (smaller) pipe, [m] fd : float, optional Darcy friction factor in original pipe; used only in the Hooper method and will be calculated from `Re` if not given, [-] Re : float, optional Reynolds number of the pipe (used in Hooper method, [m] roughness : float, optional Roughness of original pipe (used in Hooper method only if no friction factor given), [m] method : str The calculation method to use; one of 'Hooper', 'Rennels', or 'Crane' [-] Returns ------- K : float Loss coefficient in terms of the following pipe [-] Notes ----- A value of 0.506 or simply 0.5 is often used. Examples -------- >>> contraction_sharp(Di1=1, Di2=0.4) 0.5301269161 >>> contraction_sharp(Di1=1, Di2=0.4, Re=1e5, method='Hooper') 0.5112534765 The Hooper method supports laminar flow, while `Rennels` is not even `Re` aware. >>> contraction_sharp(Di1=1, Di2=0.4, Re=1e3, method='Hooper') 1.325184 Crane offers similar results: >>> contraction_sharp(3.0, 2.0, method='Crane') 0.2777777 References ---------- .. [1] Rennels, Donald C., and Hobart M. Hudson. Pipe Flow: A Practical and Comprehensive Guide. 1st edition. Hoboken, N.J: Wiley, 2012. .. [2] Hooper, William B. "Calculate Head Loss Caused by Change in Pipe Size." Chemical Engineering 95, no. 16 (November 7, 1988): 89. ''' if method == 'Rennels': beta = Di2/Di1 beta2 = beta*beta beta5 = beta2*beta2*beta lbd = 1.0 + 0.622*(1.0 - 0.215*beta2 - 0.785*beta5) return 0.0696*(1.0 - beta5)*lbd*lbd + (lbd - 1.0)*(lbd - 1.0) elif method == 'Hooper': if Re is None: raise ValueError("Hooper method requires `Re`") D1_D2 = Di1/Di2 D1_D2_2 = D1_D2*D1_D2 if Re <= 2500.0: K = (1.2 + 160.0/Re)*(D1_D2_2*D1_D2_2 - 1.0) else: if fd is None: fd = Clamond(Re=Re, eD=roughness/Di1) K = (0.6 + 0.48*fd)*D1_D2_2*(D1_D2_2 - 1.0) K = change_K_basis(K, Di1, Di2) return K elif method == 'Crane': return contraction_conical_Crane(Di1, Di2, l=0.0) else: raise ValueError(contraction_sharp_method_unknown) contraction_round_Idelchik_ratios = [0.0, 0.01, 0.02, 0.03, 0.04, 0.05, 0.06, 0.08, 0.12, 0.16, 0.2] contraction_round_Idelchik_factors = [0.5, 0.43, 0.37, 0.31, 0.26, 0.22, 0.20, 0.15, 0.09, 0.06, 0.03] # Third factor is 0.36 in 1960 edition, 0.37 in Design Guide contraction_round_methods = ['Rennels', 'Miller', 'Idelchik'] contraction_round_unknown_method = 'Specified method not recognized; methods are %s' %(contraction_round_methods) def contraction_round(Di1, Di2, rc, method='Rennels'): r'''Returns loss coefficient for any any round edged pipe contraction. This calculation has three methods available. The 'Miller' [2]_ method is a bivariate spline digitization of a graph; the 'Idelchik' [3]_ method is an interpolation using a formula and a table of values. The most conservative formulation is that of Rennels; with fairly similar. The 'Idelchik' method is more conservative and less complex; it offers a straight-line curve where the others curves are curved. The Rennels [1]_ formulas are: .. math:: K = 0.0696\left(1 - 0.569\frac{r}{d_2}\right)\left(1-\sqrt{\frac{r} {d_2}}\beta\right)(1-\beta^5)\lambda^2 + (\lambda-1)^2 .. math:: \lambda = 1 + 0.622\left(1 - 0.30\sqrt{\frac{r}{d_2}} - 0.70\frac{r}{d_2}\right)^4 (1-0.215\beta^2-0.785\beta^5) .. math:: \beta = d_2/d_1 .. figure:: fittings/contraction_round.png :scale: 30 % :alt: Circular round contraction; after [1]_ Parameters ---------- Di1 : float Inside diameter of original pipe, [m] Di2 : float Inside diameter of following pipe, [m] rc : float Radius of curvature of the contraction, [m] method : str The calculation method to use; one of 'Rennels', 'Miller', or 'Idelchik', [-] Returns ------- K : float Loss coefficient in terms of the following pipe [-] Notes ----- Rounding radius larger than 0.14Di2 prevents flow separation from the wall. Further increase in rounding radius continues to reduce loss coefficient. .. plot:: plots/contraction_round_plot.py Examples -------- >>> contraction_round(Di1=1, Di2=0.4, rc=0.04) 0.1783332490866574 References ---------- .. [1] Rennels, Donald C., and Hobart M. Hudson. Pipe Flow: A Practical and Comprehensive Guide. 1st edition. Hoboken, N.J: Wiley, 2012. .. [2] Miller, Donald S. Internal Flow Systems: Design and Performance Prediction. Gulf Publishing Company, 1990. .. [3] Idel’chik, I. E. Handbook of Hydraulic Resistance: Coefficients of Local Resistance and of Friction (Spravochnik Po Gidravlicheskim Soprotivleniyam, Koeffitsienty Mestnykh Soprotivlenii i Soprotivleniya Treniya). National technical information Service, 1966. ''' beta = Di2/Di1 if method is None: method = 'Rennels' if method == 'Rennels': lbd = 1.0 + 0.622*(1.0 - 0.30*sqrt(rc/Di2) - 0.70*rc/Di2)**4*(1.0 - 0.215*beta**2 - 0.785*beta**5) return 0.0696*(1.0 - 0.569*rc/Di2)*(1.0 - sqrt(rc/Di2)*beta)*(1.0 - beta**5)*lbd*lbd + (lbd - 1.0)**2 elif method == 'Miller': return contraction_round_Miller(Di1=Di1, Di2=Di2, rc=rc) elif method == 'Idelchik': # Di2, ratio defined in terms over diameter K0 = interp(rc/Di2, contraction_round_Idelchik_ratios, contraction_round_Idelchik_factors) return K0*(1.0 - beta*beta) else: raise ValueError(contraction_round_unknown_method) def contraction_conical_Crane(Di1, Di2, l=None, angle=None): r'''Returns loss coefficient for a conical pipe contraction as shown in Crane TP 410M [1]_ between 0 and 180 degrees. If :math:`\theta < 45^{\circ}`: .. math:: K_2 = {0.8 \sin \frac{\theta}{2}(1 - \beta^2)} otherwise: .. math:: K_2 = {0.5\sqrt{\sin \frac{\theta}{2}} (1 - \beta^2)} .. math:: \beta = d_2/d_1 Parameters ---------- Di1 : float Inside pipe diameter of the larger, upstream, pipe, [m] Di2 : float Inside pipe diameter of the smaller, downstream, pipe, [m] l : float, optional Length of the contraction [m] angle : float, optional Angle of contraction [degrees] Returns ------- K : float Loss coefficient in terms of the following (smaller) pipe [-] Notes ----- Cheap and has substantial impact on pressure drop. Note that the nomenclature in [1]_ is somewhat different - the smaller pipe is called 1, and the larger pipe is called 2; and so the beta ratio is reversed, and the fourth power of beta used in their equation is not necessary. Examples -------- >>> contraction_conical_Crane(Di1=0.0779, Di2=0.0525, l=0) 0.2729017979998056 References ---------- .. [1] Crane Co. Flow of Fluids Through Valves, Fittings, and Pipe. Crane, 2009. ''' if l is not None: if l == 0.0: angle_rad = pi else: angle_rad = 2.0*atan((Di1-Di2)/(2.0*l)) elif angle is not None: angle_rad = deg2rad*angle #l = (Di1 - Di2)/(2.0*tan(0.5*angle)) # L is not needed in this calculation else: raise ValueError('One of `l` or `angle` must be specified') beta = Di2/Di1 beta2 = beta*beta if angle_rad < 0.25*pi: # Formula 1 K2 = 0.8*sin(0.5*angle_rad)*(1.0 - beta2) else: # Formula 2 K2 = 0.5*(sqrt(sin(0.5*angle_rad))*(1.0 - beta2)) return K2 contraction_conical_angles_Idelchik = [2, 3, 6, 8, 10, 12, 14, 16, 20] contraction_conical_A_ratios_Idelchik = [0.05, 0.075, 0.1, 0.15, 0.2, 0.25, 0.3, 0.4, 0.5, 0.6] contraction_conical_friction_Idelchik = [ [0.14, 0.1, 0.05, 0.04, 0.03, 0.03, 0.02, 0.02, 0.01], [0.14, 0.1, 0.05, 0.04, 0.03, 0.02, 0.02, 0.02, 0.01], [0.14, 0.1, 0.05, 0.04, 0.03, 0.02, 0.02, 0.02, 0.01], [0.14, 0.1, 0.05, 0.04, 0.03, 0.02, 0.02, 0.02, 0.01], [0.14, 0.1, 0.05, 0.03, 0.03, 0.02, 0.02, 0.02, 0.01], [0.14, 0.1, 0.05, 0.03, 0.03, 0.02, 0.02, 0.02, 0.01], [0.13, 0.09, 0.04, 0.03, 0.03, 0.02, 0.02, 0.02, 0.01], [0.12, 0.08, 0.04, 0.03, 0.02, 0.02, 0.02, 0.02, 0.01], [0.11, 0.07, 0.04, 0.03, 0.02, 0.02, 0.02, 0.02, 0.01], [0.09, 0.06, 0.03, 0.02, 0.02, 0.02, 0.02, 0.02, 0.01]] contraction_conical_frction_Idelchik_tck = tck_interp2d_linear(contraction_conical_angles_Idelchik, contraction_conical_A_ratios_Idelchik, contraction_conical_friction_Idelchik, kx=1, ky=1) contraction_conical_frction_Idelchik_obj = lambda x, y : float(bisplev(x, y, contraction_conical_frction_Idelchik_tck)) contraction_conical_l_ratios_Blevins = [0.0, 0.05, 0.1, 0.15, 0.6] contraction_conical_A_ratios_Blevins = [1.2, 1.5, 2.0, 3.0, 5.0, 10.0] contraction_conical_Ks_Blevins = [[.08, .06, .04, .03, .03], [.17, .12, .09, .07, .06], [.25, .23, .17, .14, .06], [.33, .31, .27, .23, .08], [.4, .38, .35, .31, .18], [.45, .45, .41, .39, .27]] contraction_conical_Blevins_tck = tck_interp2d_linear(contraction_conical_l_ratios_Blevins, contraction_conical_A_ratios_Blevins, contraction_conical_Ks_Blevins, kx=1, ky=1) contraction_conical_Blevins_obj = lambda x, y: float(bisplev(x, y, contraction_conical_Blevins_tck)) contraction_conical_Miller_tck = implementation_optimize_tck([ [ -2.2990613088204293, -2.2990613088204293, -2.2990613088204293, -2.2990613088204293, -1.9345621970869704, -1.404550366067981, -1.1205580332553446, -0.7202074014540876, -0.18305354619604816, 0.5791478950190209, 1.2576636025381396, 2.2907351590368092, 2.2907351590368092, 2.2907351590368092, 2.2907351590368092], [ 0.09564194294666524, 0.09564194294666524, 0.17553288711543455, 0.263895293813645, 0.3890819147022019, 0.46277323951998217, 0.5504296236707121, 0.7265657737596892, 1.0772357648098938, 1.2566022106161683, 1.3896885941879062, 1.3896885941879062], [ -0.019518693251672135, 0.04439613867473242, 0.11549650174721836, 0.21325506677861075, 0.268179723158688, 0.31125301421509866, 0.38394595875289805, 0.4808287074532006, 0.5205981039085685, 0.5444079315893322, -0.016435668699253902, 0.036132755789022385, 0.09344296094392814, 0.18264727448046977, 0.23460506265914166, 0.2772896726095435, 0.3475409775384636, 0.45339837219176454, 0.49766916609817535, 0.533981552804865, -0.006524265764454468, 0.024107195694715193, 0.05862956870028131, 0.12122104285943507, 0.17207312024278762, 0.2175356288866053, 0.282297563080016, 0.3995008583081823, 0.4563724107887528, 0.5175856070810377, 0.00971345082784277, 0.025981390544674948, 0.0438578322196561, 0.08103403101086341, 0.11351528283253318, 0.16873088559958743, 0.2347695003589526, 0.3428907161435351, 0.42017998591926276, 0.49784770602295325, 0.022572122504756167, 0.0277671279384801, 0.033512283408629495, 0.05470423531298454, 0.06485563480390757, 0.10483763206962131, 0.1802208799223503, 0.29075723837012296, 0.35502824385155335, 0.4460106883062252, 0.030312717163327077, 0.03080869253188484, 0.03583128286874324, 0.04627567520803308, 0.050501484562613955, 0.05683263025468022, 0.12297253802915259, 0.2415222338797251, 0.3025777968736861, 0.3724407040165538, 0.03115993727503623, 0.03443665864698284, 0.03574452046031886, 0.03995718256281492, 0.04759698369059247, 0.050404788737262694, 0.052375330859925545, 0.1356057568743366, 0.20463667731329582, 0.26043914743762864, 0.02844193432840707, 0.0219797618956514, 0.013352154001094038, 0.018393840217638825, 0.02448602185526976, 0.038812331325140816, 0.0522197430071833, 0.057132169238281294, 0.06871138075102912, 0.09334527259294226, 0.04089985439478869, 0.07148502476706058, 0.06750266344761692, 0.038560772865945815, 0.020172054809734774, 0.01596047961326318, 0.033338955878272625, 0.058808731166289874, 0.055802602927507314, 0.025265841939291166, 0.11200365568168691, 0.11945663812857424, 0.10673570013847415, 0.07758458179796549, 0.055266607234870514, 0.03072901347153607, 0.025790727504652375, 0.037031664564632104, 0.0601306808668177, 0.07612350738135039, 0.0964900248905913, 0.11088549072803407, 0.10778442024110846, 0.09386482850507959, 0.06940476627270852, 0.04434507143623664, 0.03331958878624311, 0.01854072032522763, 0.027553821071285824, 0.045426686375783926], 3, 1]) contraction_conical_Miller_obj = lambda l_r2, A_ratio: max(min(float(bisplev(log(l_r2), log(A_ratio), contraction_conical_Miller_tck)), .5), 0) contraction_conical_methods = ['Rennels', 'Idelchik', 'Crane', 'Swamee', 'Blevins', 'Miller', 'Hooper'] contraction_conical_method_unknown = 'Specified method not recognized; methods are %s' %(contraction_conical_methods) def contraction_conical(Di1, Di2, fd=None, l=None, angle=None, Re=None, roughness=0.0, method='Rennels'): r'''Returns the loss coefficient for any conical pipe contraction. This calculation has five methods available. The 'Idelchik' [2]_ and 'Blevins' [3]_ methods use interpolation among tables of values; 'Miller' uses a 2d spline representation of a graph; and the 'Rennels' [1]_, 'Crane' [4]_, 'Swamee' [5]_ and 'Hooper' methods use formulas for their calculations. The 'Rennels' [1]_ formulas are: .. math:: K_2 = K_{fr,2} + K_{conv,2} .. math:: K_{fr,2} = \frac{f_d ({1 - \beta^4})}{8\sin(\theta/2)} .. math:: K_{conv,2} = 0.0696[1+C_B(\sin(\alpha/2)-1)](1-\beta^5)\lambda^2 + (\lambda-1)^2 .. math:: \lambda = 1 + 0.622(\alpha/180)^{0.8}(1-0.215\beta^2-0.785\beta^5) .. math:: \beta = d_2/d_1 The 'Swamee' [5]_ formula is: .. math:: K = 0.315 \theta^{1/3} The Hooper [7]_ formulas are: If :math:`{Re}_1 \le 2500`: .. math:: K_{1,sharp} = \left[1.2 + \frac{160}{\text{Re}_1}\right] \left[ \left(\frac{D_1} {D_2} \right)^4 -1 \right] If :math:`{Re}_1 > 2500`: .. math:: K_{1,sharp} = \left[0.6 + 0.48f_1\right] \left(\frac{D_1} {D_2} \right)^2 \left[ \left(\frac{D_1} {D_2} \right)^2 -1 \right] In both cases, a multiplier is added for the angle: For angles between 45 and 180 degrees: .. math:: K_1 = K_{1,sharp} \sqrt{\sin \frac{\theta}{2}} For angles between 0 and 45 degrees: .. math:: K_1 = K_{1,sharp} 1.6 \sin \frac{\theta}{2} Converting the Hooper loss coefficient to a consistent basis: .. math:: K_2 = K_1\frac{D_2^4}{D_1^4} .. figure:: fittings/contraction_conical.png :scale: 30 % :alt: contraction conical; after [1]_ Parameters ---------- Di1 : float Inside pipe diameter of the larger, upstream, pipe, [m] Di2 : float Inside pipe diameter of the smaller, downstream, pipe, [m] fd : float, optional Darcy friction factor; used only in the `Rennels` and `Hooper` method and will be calculated from `Re` and `roughness` if not given, [-] l : float, optional Length of the contraction, optional [m] angle : float, optional Angle of contraction (180 = sharp, 0 = infinitely long contraction), optional [degrees] Re : float, optional Reynolds number of the pipe (used in `Rennels` and `Hooper` method only if no friction factor given), [m] roughness : float, optional Roughness of bend wall (used in Rennel method if no friction factor given), [m] method : str, optional The method to use for the calculation; one of 'Rennels', 'Idelchik', 'Crane', 'Swamee' 'Hooper', 'Miller', or 'Blevins', [-] Returns ------- K : float Loss coefficient in terms of the following pipe [-] Notes ----- Cheap and has substantial impact on pressure drop. The 'Idelchik' method includes two tabular interpolations; its friction term is limited to angles between 2 and 20 degrees and area ratios 0.05 to 0.6, while its main term is limited to length over diameter ratios 0.025 to 0.6. This seems to give it high results for angles < 25 degrees. The 'Blevins' method is based on Idelchik data; it should not be used, because its data jumps around and its data is limited to area ratios .1 to 0.83, and length over diameter ratios 0 to 0.6. The 'Miller' method jumps around as well. Unlike most of Miller's method, there is no correction for Reynolds number. There is quite a bit of variance in the predictions of the methods, as demonstrated by the following figure. .. plot:: plots/contraction_conical_plot.py Examples -------- >>> contraction_conical(Di1=0.1, Di2=0.04, l=0.04, Re=1E6) 0.15639885880609544 References ---------- .. [1] Rennels, Donald C., and Hobart M. Hudson. Pipe Flow: A Practical and Comprehensive Guide. 1st edition. Hoboken, N.J: Wiley, 2012. .. [2] Idel’chik, I. E. Handbook of Hydraulic Resistance: Coefficients of Local Resistance and of Friction (Spravochnik Po Gidravlicheskim Soprotivleniyam, Koeffitsienty Mestnykh Soprotivlenii i Soprotivleniya Treniya). National technical information Service, 1966. .. [3] Blevins, Robert D. Applied Fluid Dynamics Handbook. New York, N.Y.: Van Nostrand Reinhold Co., 1984. .. [4] Crane Co. Flow of Fluids Through Valves, Fittings, and Pipe. Crane, 2009. .. [5] Swamee, Prabhata K., and Ashok K. Sharma. Design of Water Supply Pipe Networks. John Wiley & Sons, 2008. .. [6] Miller, Donald S. Internal Flow Systems: Design and Performance Prediction. Gulf Publishing Company, 1990. .. [7] Hooper, William B. "Calculate Head Loss Caused by Change in Pipe Size." Chemical Engineering 95, no. 16 (November 7, 1988): 89. ''' beta = Di2/Di1 if angle is not None: angle_rad = angle*deg2rad l = (Di1 - Di2)/(2.0*tan(0.5*angle_rad)) elif l is not None: if l != 0.0: angle_rad = 2.0*atan((Di1-Di2)/(2.0*l)) else: angle_rad = pi else: raise ValueError('Either l or angle is required') if method == 'Rennels': if fd is None: if Re is None: raise ValueError("The `Rennels` method requires either a " "specified friction factor or `Re`") fd = Clamond(Re=Re, eD=roughness/Di2, fast=False) beta2 = beta*beta beta4 = beta2*beta2 beta5 = beta4*beta lbd = 1.0 + 0.622*(angle_rad/pi)**0.8*(1.0 - 0.215*beta2 - 0.785*beta5) sin_half_angle = sin(0.5*angle_rad) K_fr2 = fd*(1.0 - beta4)/(8.0*sin_half_angle) K_conv2 = 0.0696*sin_half_angle*(1.0 - beta5)*lbd*lbd + (lbd - 1.0)**2 return K_fr2 + K_conv2 elif method == 'Crane': return contraction_conical_Crane(Di1=Di1, Di2=Di2, l=l, angle=angle_rad*rad2deg) elif method == 'Swamee': return 0.315*angle_rad**(1.0/3.0) elif method == 'Idelchik': # Diagram 3-6; already digitized for beveled entrance K0 = float(bisplev(angle_rad*rad2deg, l/Di2, entrance_beveled_Idelchik_tck)) # Angles 0 to 20, ratios 0.05 to 0.06 if angle_rad > 20.0*deg2rad: angle_fric = 20.0 elif angle_rad < 2.0*deg2rad: angle_fric = 2.0 else: angle_fric = angle_rad*rad2deg A_ratio = A_ratio_fric = Di2*Di2/(Di1*Di1) if A_ratio_fric < 0.05: A_ratio_fric = 0.05 elif A_ratio_fric > 0.6: A_ratio_fric = 0.6 K_fr = float(contraction_conical_frction_Idelchik_obj(angle_fric, A_ratio_fric)) return K0*(1.0 - A_ratio) + K_fr elif method == 'Blevins': A_ratio = Di1*Di1/(Di2*Di2) if A_ratio < 1.2: A_ratio = 1.2 elif A_ratio > 10.0: A_ratio = 10.0 l_ratio = l/Di2 if l_ratio > 0.6: l_ratio = 0.6 return float(contraction_conical_Blevins_obj(l_ratio, A_ratio)) elif method == 'Miller': A_ratio = Di1*Di1/(Di2*Di2) if A_ratio > 4.0: A_ratio = 4.0 elif A_ratio < 1.1: A_ratio = 1.1 l_ratio = l/(Di2*0.5) if l_ratio < 0.1: l_ratio = 0.1 elif l_ratio > 10.0: l_ratio = 10.0 # Turning on ofr off the limits - little difference in plot return contraction_conical_Miller_obj(l_ratio, A_ratio) elif method == 'Hooper': if Re is None: raise ValueError("Hooper method requires `Re`") D1_D2 = Di1/Di2 D1_D2_2 = D1_D2*D1_D2 if Re <= 2500.0: K = (1.2 + 160.0/Re)*(D1_D2_2*D1_D2_2 - 1.0) else: if fd is None: fd = Clamond(Re=Re, eD=roughness/Di1) K = (0.6 + 0.48*fd)*D1_D2_2*(D1_D2_2 - 1.0) if angle_rad > 0.25*pi: K *= sqrt(sin(0.5*angle_rad)) else: K *= 1.6*sin(0.5*angle_rad) K = change_K_basis(K, Di1, Di2) return K else: raise ValueError(contraction_conical_method_unknown) def contraction_beveled(Di1, Di2, l=None, angle=None): r'''Returns loss coefficient for any sharp beveled pipe contraction as shown in [1]_. .. math:: K = 0.0696[1+C_B(\sin(\alpha/2)-1)](1-\beta^5)\lambda^2 + (\lambda-1)^2 .. math:: \lambda = 1 + 0.622\left[1+C_B\left(\left(\frac{\alpha}{180} \right)^{0.8}-1\right)\right](1-0.215\beta^2-0.785\beta^5) .. math:: C_B = \frac{l}{d_2}\frac{2\beta\tan(\alpha/2)}{1-\beta} .. math:: \beta = d_2/d_1 .. figure:: fittings/contraction_beveled.png :scale: 30 % :alt: contraction beveled; after [1]_ Parameters ---------- Di1 : float Inside diameter of original pipe, [m] Di2 : float Inside diameter of following pipe, [m] l : float Length of the bevel along the pipe axis ,[m] angle : float Angle of bevel, [degrees] Returns ------- K : float Loss coefficient in terms of the following pipe [-] Notes ----- Examples -------- >>> contraction_beveled(Di1=0.5, Di2=0.1, l=.7*.1, angle=120) 0.40946469413070485 References ---------- .. [1] Rennels, Donald C., and Hobart M. Hudson. Pipe Flow: A Practical and Comprehensive Guide. 1st edition. Hoboken, N.J: Wiley, 2012. ''' angle = radians(angle) beta = Di2/Di1 CB = l/Di2*2.0*beta*tan(0.5*angle)/(1.0 - beta) beta2 = beta*beta beta5 = beta2*beta2*beta lbd = 1.0 + 0.622*(1.0 + CB*((angle/pi)**0.8 - 1.0))*(1.0 - 0.215*beta2 - 0.785*beta5) return 0.0696*(1.0 + CB*(sin(0.5*angle) - 1.0))*(1.0 - beta5)*lbd*lbd + (lbd-1.0)**2 ### Expansions (diffusers) diffuser_sharp_methods = ['Rennels', 'Hooper'] diffuser_sharp_method_unknown = 'Specified method not recognized; methods are %s' %(diffuser_sharp_methods) def diffuser_sharp(Di1, Di2, Re=None, fd=None, roughness=0.0, method='Rennels'): r'''Returns loss coefficient for any sudden pipe diameter expansion according to the specified method. The main theoretical formula is as follows, in [1]_ and in other sources and is implemented under the name `Rennels`. .. math:: K_2 = (1-\beta^2)^2 The Hooper [2]_ formulas are: If :math:`{Re}_1 \le 4000`: .. math:: K_1 = 2 \left[1 - \left( \frac{D_1}{D_2} \right)^4 \right] else: .. math:: K_1 = \left[1 + 0.8 f_{d,1}\right] \left\{ \left[1 - \left( \frac{D_1}{D_2}\right)^2 \right]^2 \right\} Parameters ---------- Di1 : float Inside diameter of original pipe (smaller), [m] Di2 : float Inside diameter of following pipe (larger), [m] Re : float, optional Reynolds number of the pipe for original (smaller) pipe, used in `Hooper` method [-] fd : float, optional Darcy friction factor for original (smaller) pipe [-] roughness : float, optional Roughness of pipe wall (used in `Hooper` method if no friction factor given), [m] method : str The method to use for the calculation; one of 'Rennels', 'Hooper' [-] Returns ------- K : float Loss coefficient with respect to the original (smaller) pipe [-] Notes ----- Highly accurate. Examples -------- >>> diffuser_sharp(Di1=.5, Di2=1) 0.5625 >>> diffuser_sharp(Di1=.5, Di2=1, Re=1e5, fd=1e-7, method='Hooper') 0.562500045 References ---------- .. [1] Rennels, Donald C., and Hobart M. Hudson. Pipe Flow: A Practical and Comprehensive Guide. 1st edition. Hoboken, N.J: Wiley, 2012. .. [2] Hooper, William B. "Calculate Head Loss Caused by Change in Pipe Size." Chemical Engineering 95, no. 16 (November 7, 1988): 89. ''' beta = Di1/Di2 if method == 'Rennels': r = 1.0 - beta*beta return r*r elif method == 'Hooper': if Re is None: raise ValueError("Method `Hooper` requires Reynolds number") if Re < 4000.0: return 2.0*(1.0 - beta*beta*beta*beta) # Not the same formula as Rennels if fd is None: fd = Clamond(Re=Re, eD=roughness/Di1) x = 1.0 - beta*beta return (1.0 + 0.8*fd)*x*x else: raise ValueError(diffuser_sharp_method_unknown) def diffuser_conical_Crane(Di1, Di2, l=None, angle=None): beta = Di1/Di2 beta2 = beta*beta if angle is not None: angle_rad = radians(angle) angle_deg = angle elif l is not None: if l != 0.0: angle_rad = 2.0*atan((Di1-Di2)/(2.0*l)) angle_deg = degrees(angle_rad) else: angle_rad = pi angle_deg = 180.0 else: raise ValueError('Either `l` or `angle` must be specified') if angle_deg < 45.0: # Formula 3 K2 = 2.6*sin(0.5*angle_rad)*(1.0 - beta2)**2/(beta2*beta2) else: K2 = (1.0 - beta2)**2/(beta2*beta2) # formula 4 K1 = K2*beta2*beta2 # Standard has become using upstream diameter return K1 tck_diffuser_conical_Miller = implementation_optimize_tck([ [ -2.307004845727645, -2.307004845727645, -2.307004845727645, -2.307004845727645, -0.852533937110498, -0.08240363489988907, 0.5915927994712962, 0.8982804334259539, 1.2315822114127628, 1.5343291978351532, 1.9774792041044793, 2.990267368122924, 2.990267368122924, 2.990267368122924, 2.990267368122924 ], [ 0.15265175024859737, 0.15265175024859737, 0.15265175024859737, 0.15265175024859737, 0.40701687154729443, 0.6664564516122377, 0.8948974705226967, 1.0144777142876453, 1.0931592421107108, 1.1789561829062467, 1.3141101898631344, 1.4016433190574298, 1.4016433190574298, 1.4016433190574298, 1.4016433190574298 ], [ 0.06036297171599943, 0.08322477303304361, 0.1533018560180316, 0.23256231139725417, 0.3176212581983357, 0.40020914174974515, 0.4385944607898857, 0.5200344894492758, 0.6068491969006803, 0.5644812620968174, 0.5206931820307759, 0.05279258341151595, 0.06701886136626269, 0.15460022709300852, 0.22187392289400498, 0.3163189969211137, 0.40236602598664045, 0.44217477520553994, 0.5224439320660155, 0.5978399391103398, 0.6131809640282799, 0.6101286467987195, 0.05708355184742518, 0.06843627744908527, 0.08943713554460665, 0.2666074936578441, 0.3093579837678418, 0.3920305705167829, 0.44503141066730906, 0.5320996705995045, 0.5598015078960548, 0.9045290434928654, 1.1278543134986714, 0.004082132921064788, 0.08726673904790738, 0.05768023021275458, 0.2018006237954987, 0.31496483541908044, 0.3856708355645899, 0.4432173742517448, 0.5150555453757539, 0.5447727935474795, 0.8251456282600432, 0.996071097893787, -0.1110682037244921, 0.07314890991840513, 0.06176280023793122, 0.14210338139570033, 0.221133551530109, 0.34303500384378116, 0.40130996632027693, 0.49982098188910806, 0.5348917607889022, 0.6163719511180222, 0.6823385842053077, -0.2166378057986125, 0.03883937343819872, 0.06286476564404532, 0.10772310640543344, 0.16931893225970837, 0.22920155110345403, 0.32189134044934775, 0.4091523406543155, 0.5122997879847003, 0.5557259511248352, 0.5834892444785406, -0.2784258718931251, 0.01614983641474248, 0.06657175843926792, 0.06987287339424499, 0.11347683852709868, 0.18271325237542604, 0.24381226992585622, 0.33699751608726225, 0.4328543409526461, 0.4932084120786604, 0.5172902462503076, -0.3110304748285624, -0.02554857636053585, 0.04945754727786904, 0.06935393005092971, 0.05644398696176074, 0.08533241552366327, 0.15458680076525846, 0.24566876577901098, 0.35324686175439035, 0.4095605186012888, 0.4277661722408436, -0.27286175236092153, -0.15488345611240545, -0.09243246273089455, 0.03455782910023685, 0.0829563174865211, 0.05506682466210118, 0.07027248456489407, 0.13458355260751956, 0.21084209763905942, 0.2971705194724395, 0.3194829528180993, -0.08063077687005854, -0.4253397307338264, -0.6215191566655465, -0.29467521770312016, 0.018448009119198257, 0.08412326971799582, 0.08337420030229001, 0.131275821589702, 0.1623166890922024, 0.21352111168837065, 0.2394011632386149, 0.14484414802505116, -0.781141319195365, -1.4412452429263252, -0.6266583715858592, 0.019328251090708078, 0.07939124881757918, 0.07570115443982374, 0.10818570632561267, 0.14931529315415798, 0.1845260859797597, 0.1975713897205575 ], 3, 3 ]) diffuser_conical_Idelchik_angles = [3, 6, 8, 10, 12, 14, 16, 20, 24, 30, 40, 60, 90, 180] diffuser_conical_Idelchik_A_ratios = [0, 0.05, 0.075, 0.1, 0.15, 0.2, 0.25, 0.3, 0.4, 0.5, 0.6] diffuser_conical_Idelchik_data = [ [0.03, 0.08, 0.11, 0.15, 0.19, 0.23, 0.27, 0.36, 0.47, 0.65, 0.92, 1.15, 1.1, 1.02], [0.03, 0.07, 0.1, 0.14, 0.16, 0.2, 0.24, 0.32, 0.42, 0.58, 0.83, 1.04, 0.99, 0.92], [0.03, 0.07, 0.09, 0.13, 0.16, 0.19, 0.23, 0.3, 0.4, 0.55, 0.79, 0.99, 0.95, 0.88], [0.03, 0.07, 0.09, 0.12, 0.15, 0.18, 0.22, 0.29, 0.38, 0.52, 0.75, 0.93, 0.89, 0.83], [0.02, 0.06, 0.08, 0.11, 0.14, 0.17, 0.2, 0.26, 0.34, 0.46, 0.67, 0.84, 0.79, 0.74], [0.02, 0.05, 0.07, 0.1, 0.12, 0.15, 0.17, 0.23, 0.3, 0.41, 0.59, 0.74, 0.7, 0.65], [0.02, 0.05, 0.06, 0.08, 0.1, 0.13, 0.15, 0.2, 0.26, 0.35, 0.47, 0.65, 0.62, 0.58], [0.02, 0.04, 0.05, 0.07, 0.09, 0.11, 0.13, 0.18, 0.23, 0.31, 0.4, 0.57, 0.54, 0.5], [0.01, 0.03, 0.04, 0.06, 0.07, 0.08, 0.1, 0.13, 0.17, 0.23, 0.33, 0.41, 0.39, 0.37], [0.01, 0.02, 0.03, 0.04, 0.05, 0.06, 0.07, 0.09, 0.12, 0.16, 0.23, 0.29, 0.28, 0.26], [0.01, 0.01, 0.02, 0.03, 0.03, 0.04, 0.05, 0.06, 0.08, 0.1, 0.15, 0.18, 0.17, 0.16]] diffuser_conical_Idelchik_tck = implementation_optimize_tck([[0.0, 0.0, 0.0, 0.0, 0.075, 0.1, 0.15, 0.2, 0.25, 0.3, 0.4, 0.6, 0.6, 0.6, 0.6], [3.0, 3.0, 6.0, 8.0, 10.0, 12.0, 14.0, 16.0, 20.0, 24.0, 30.0, 40.0, 60.0, 90.0, 180.0, 180.0], [0.03, 0.08000000000000002, 0.11, 0.15000000000000002, 0.19, 0.23000000000000004, 0.2700000000000001, 0.36000000000000004, 0.4700000000000001, 0.6500000000000001, 0.9200000000000003, 1.1499999999999997, 1.0999999999999999, 1.02, 0.031285899404876215, 0.06962481602354913, 0.12336980866449107, 0.1503712244832664, 0.14378748320215035, 0.20742060216292338, 0.24836000991873095, 0.35209826742177064, 0.43872500319959085, 0.6090878367568959, 0.8690773980930455, 1.0742803401164671, 1.0021612593588036, 0.9451655708069392, 0.028714100595123804, 0.06926407286533984, 0.08440796911328675, 0.1374065532945115, 0.17287918346451642, 0.19813495339263237, 0.23719554563682488, 0.301235065911563, 0.4134972190226316, 0.5698010521319933, 0.8164781574625106, 1.0379418821057562, 1.0011720739745302, 0.9192788736375066, 0.03171453253983491, 0.07116642136473203, 0.09282641155265463, 0.11549496597768823, 0.14338331093620021, 0.17489413621723082, 0.21614667989164066, 0.28946435656236014, 0.37330000426612064, 0.5104504490091938, 0.7371031974573926, 0.9040404534886205, 0.8645483458117367, 0.810220761075916, 0.01599798425801497, 0.0600112625583925, 0.07849171306072822, 0.11003185192295382, 0.14431407179880976, 0.1740127023740962, 0.20378359569975044, 0.2582633102962821, 0.33980922441927436, 0.45585837012862357, 0.6659720355794456, 0.8470955557688615, 0.7909107314263772, 0.7433823030652078, 0.021150220771741206, 0.04655749664043002, 0.0703397965060472, 0.10328500351954951, 0.11954655404108269, 0.1488787675177576, 0.1662463204709797, 0.231242192999296, 0.3007649420874127, 0.4151976547001982, 0.604782427849235, 0.7361883438919813, 0.6970812056056823, 0.6428823350611119, 0.019401132655020165, 0.053758750879887386, 0.06014910091508289, 0.07682813399884816, 0.09749971203685935, 0.13047222755487306, 0.1512311224163308, 0.19676791770653376, 0.2571310072310745, 0.3433510110705831, 0.45489825302361336, 0.6481510686632118, 0.6207644461508929, 0.5850883566903438, 0.02185995392589747, 0.033290416160064826, 0.045368699473134086, 0.06692723598046114, 0.08810622640302032, 0.10215235383204274, 0.1213618790128196, 0.17665887566391483, 0.2219043695740277, 0.3007473976664318, 0.37586666240054567, 0.5455594857191605, 0.5128931976706977, 0.4673228653399028, 1.2670378191600348e-05, 0.03091333375994541, 0.03916320044367654, 0.06214899426206778, 0.062121072502719726, 0.06871380729933241, 0.09367771591902911, 0.10605919242336995, 0.14532614492011708, 0.196826752842303, 0.32944561762761065, 0.340669205008426, 0.32703730722467556, 0.32918425374885374, 0.014993664810904203, 0.014543333120027308, 0.025418399778161738, 0.026425502868966118, 0.04393946374864015, 0.0556430963503338, 0.05566114204048549, 0.07947040378831506, 0.10483692753994148, 0.13908662357884857, 0.1752771911861948, 0.26216539749578693, 0.2564813463876624, 0.22290787312557322, 0.01, 0.01, 0.02, 0.03, 0.03, 0.04, 0.05, 0.06, 0.08, 0.1, 0.15, 0.18, 0.17, 0.16], 3, 1]) diffuser_conical_Idelchik_obj = lambda x, y : float(bisplev(x, y, diffuser_conical_Idelchik_tck)) diffuser_conical_methods = ['Rennels', 'Crane', 'Miller', 'Swamee', 'Idelchik', 'Hooper'] diffuser_conical_method_unknown = 'Specified method not recognized; methods are %s' %(diffuser_conical_methods) def diffuser_conical(Di1, Di2, l=None, angle=None, fd=None, Re=None, roughness=0.0, method='Rennels'): r'''Returns the loss coefficient for any conical pipe diffuser. This calculation has six methods available. The 'Rennels' [1]_ formulas are as follows (three different formulas are used, depending on the angle and the ratio of diameters): For 0 to 20 degrees, all aspect ratios: .. math:: K_1 = 8.30[\tan(\alpha/2)]^{1.75}(1-\beta^2)^2 + \frac{f(1-\beta^4)}{8\sin(\alpha/2)} For 20 to 60 degrees, beta < 0.5: .. math:: K_1 = \left\{1.366\sin\left[\frac{2\pi(\alpha-15^\circ)}{180}\right]^{0.5} - 0.170 - 3.28(0.0625-\beta^4)\sqrt{\frac{\alpha-20^\circ}{40^\circ}}\right\} (1-\beta^2)^2 + \frac{f(1-\beta^4)}{8\sin(\alpha/2)} For 20 to 60 degrees, beta >= 0.5: .. math:: K_1 = \left\{1.366\sin\left[\frac{2\pi(\alpha-15^\circ)}{180}\right]^{0.5} - 0.170 \right\}(1-\beta^2)^2 + \frac{f(1-\beta^4)}{8\sin(\alpha/2)} For 60 to 180 degrees, beta < 0.5: .. math:: K_1 = \left[1.205 - 3.28(0.0625-\beta^4)-12.8\beta^6\sqrt{\frac {\alpha-60^\circ}{120^\circ}}\right](1-\beta^2)^2 For 60 to 180 degrees, beta >= 0.5: .. math:: K_1 = \left[1.205 - 0.20\sqrt{\frac{\alpha-60^\circ}{120^\circ}} \right](1-\beta^2)^2 The Swamee [5]_ formula is: .. math:: K = \left\{\frac{0.25}{\theta^3}\left[1 + \frac{0.6}{r^{1.67}} \left(\frac{\pi-\theta}{\theta} \right) \right]^{0.533r - 2.6} \right\}^{-0.5} The Hooper [6]_ formulas are: If :math:`{Re}_1 \le 4000`: .. math:: K_{sharp} = 2 \left[1 - \left( \frac{D_1}{D_2} \right)^4 \right] else: .. math:: K_{sharp} = \left[1 + 0.8 f_{d,1}\right] \left\{ \left[1 - \left( \frac{D_1}{D_2}\right)^2 \right]^2 \right\} If the angle > 45 degrees, :math:`K = K_{sharp}` otherwise .. math:: K = 2.6 \sin \left(\frac{\theta}{2} \right)K_{sharp} .. figure:: fittings/diffuser_conical.png :scale: 60 % :alt: diffuser conical; after [1]_ Parameters ---------- Di1 : float Inside diameter of original pipe (smaller), [m] Di2 : float Inside diameter of following pipe (larger), [m] l : float, optional Length of the contraction along the pipe axis, optional, [m] angle : float, optional Angle of contraction, [degrees] fd : float, optional Darcy friction factor [-] Re : float, optional Reynolds number of the pipe (used in Rennels method only if no friction factor given), [m] roughness : float, optional Roughness of bend wall (used in Rennel method if no friction factor given), [m] method : str The method to use for the calculation; one of 'Rennels', 'Crane', 'Miller', 'Swamee', 'Idelchik', or 'Hooper' [-] Returns ------- K : float Loss coefficient with respect to smaller, upstream diameter [-] Notes ----- The Miller method changes around quite a bit. There is quite a bit of variance in the predictions of the methods, as demonstrated by the following figure. .. plot:: plots/diffuser_conical_plot.py Examples -------- >>> diffuser_conical(Di1=1/3., Di2=1.0, angle=50.0, Re=1E6) 0.8027721093415322 References ---------- .. [1] Rennels, Donald C., and Hobart M. Hudson. Pipe Flow: A Practical and Comprehensive Guide. 1st edition. Hoboken, N.J: Wiley, 2012. .. [2] Idel’chik, I. E. Handbook of Hydraulic Resistance: Coefficients of Local Resistance and of Friction (Spravochnik Po Gidravlicheskim Soprotivleniyam, Koeffitsienty Mestnykh Soprotivlenii i Soprotivleniya Treniya). National technical information Service, 1966. .. [3] Crane Co. Flow of Fluids Through Valves, Fittings, and Pipe. Crane, 2009. .. [4] Swamee, Prabhata K., and Ashok K. Sharma. Design of Water Supply Pipe Networks. John Wiley & Sons, 2008. .. [5] Miller, Donald S. Internal Flow Systems: Design and Performance Prediction. Gulf Publishing Company, 1990. .. [6] Hooper, William B. "Calculate Head Loss Caused by Change in Pipe Size." Chemical Engineering 95, no. 16 (November 7, 1988): 89. ''' beta = Di1/Di2 beta2 = beta*beta if l is not None: angle_rad = 2.0*atan(0.5*(Di2-Di1)/l) angle_deg = angle_rad*rad2deg l_calc = l elif angle is not None: angle_rad = angle*deg2rad angle_deg = angle l_calc = (Di2 - Di1)/(2.0*tan(0.5*angle_rad)) else: raise ValueError('Either `l` or `angle` must be specified') if method is None: method = 'Rennels' if method == 'Rennels': if fd is None: if Re is None: raise ValueError("The `Rennels` method requires either a " "specified friction factor or `Re`") fd = Clamond(Re=Re, eD=roughness/Di2, fast=False) if 0.0 < angle_deg <= 20.0: K = 8.30*tan(0.5*angle_rad)**1.75*(1.0 - beta2)**2 + 0.125*fd*(1.0 - beta2*beta2)/sin(0.5*angle_rad) elif 20.0 < angle_deg <= 60.0 and 0.0 <= beta < 0.5: K = (1.366*sqrt(sin(2.0*pi*(angle_deg - 15.0)/180.)) - 0.170 - 3.28*(0.0625-beta**4)*sqrt(0.025*(angle_deg-20.0)))*(1.0 - beta2)**2 + 0.125*fd*(1.0 - beta2*beta2)/sin(0.5*angle_rad) elif 20.0 < angle_deg <= 60.0 and beta >= 0.5: K = (1.366*sqrt(sin(2.0*pi*(angle_deg - 15.0)/180.0)) - 0.170)*(1.0 - beta2)**2 + 0.125*fd*(1.0 - beta2*beta2)/sin(0.5*angle_rad) elif 60.0 < angle_deg <= 180.0 and 0.0 <= beta < 0.5: beta4 = beta2*beta2 K = (1.205 - 3.28*(0.0625 - beta4) - 12.8*beta4*beta2*sqrt((angle_deg - 60.0)/120.))*(1.0 - beta2)**2 elif 60.0 < angle_deg <= 180.0 and beta >= 0.5: K = (1.205 - 0.20*sqrt((angle_deg - 60.0)/120.))*(1.0 - beta**2)**2 else: raise ValueError('Conical diffuser inputs incorrect') return K elif method == 'Crane': return diffuser_conical_Crane(Di1=Di1, Di2=Di2, l=l_calc, angle=angle_deg) elif method == 'Miller': A_ratio = 1.0/beta2 if A_ratio > 4.0: A_ratio = 4.0 elif A_ratio < 1.1: A_ratio = 1.1 l_R1_ratio = l_calc/(0.5*Di1) if l_R1_ratio < 0.1: l_R1_ratio = 0.1 elif l_R1_ratio > 20.0: l_R1_ratio = 20.0 Kd = max(float(bisplev(log(l_R1_ratio), log(A_ratio), tck_diffuser_conical_Miller)), 0) return Kd elif method == 'Idelchik': A_ratio = beta2 # Angles 0 to 20, ratios 0.05 to 0.06 if angle_deg > 20.0: angle_fric = 20.0 elif angle_deg < 2.0: angle_fric = 2.0 else: angle_fric = angle_deg A_ratio_fric = A_ratio if A_ratio_fric < 0.05: A_ratio_fric = 0.05 elif A_ratio_fric > 0.6: A_ratio_fric = 0.6 K_fr = float(contraction_conical_frction_Idelchik_obj(angle_fric, A_ratio_fric)) K_exp = float(diffuser_conical_Idelchik_obj(min(0.6, A_ratio), max(3.0, angle_deg))) return K_fr + K_exp elif method == 'Swamee': # Really starting to thing Swamee uses a different definition of loss coefficient! r = Di2/Di1 K = 1.0/sqrt(0.25*angle_rad**-3*(1.0 + 0.6*r**(-1.67)*(pi-angle_rad)/angle_rad)**(0.533*r - 2.6)) return K elif method == 'Hooper': if Re is None: raise ValueError("Method `Hooper` requires Reynolds number") if Re < 4000.0: return 2.0*(1.0 - beta*beta*beta*beta) # Not the same formula as Rennels if fd is None: fd = Clamond(Re=Re, eD=roughness/Di1) x = 1.0 - beta*beta K = (1.0 + 0.8*fd)*x*x if angle_rad > 0.25*pi: return K return K*2.6*sin(0.5*angle_rad) else: raise ValueError(diffuser_conical_method_unknown) def diffuser_conical_staged(Di1, Di2, DEs, ls, fd=None, method='Rennels'): r'''Returns loss coefficient for any series of staged conical pipe expansions as shown in [1]_. Five different formulas are used, depending on the angle and the ratio of diameters. This function calls diffuser_conical. Parameters ---------- Di1 : float Inside diameter of original pipe (smaller), [m] Di2 : float Inside diameter of following pipe (larger), [m] DEs : array Diameters of intermediate sections, [m] ls : array Lengths of the various sections, size 1 more than `DEs`, [m] fd : float Darcy friction factor [-] method : str The method to use for the calculation; one of 'Rennels', 'Crane', 'Miller', 'Swamee', or 'Idelchik' [-] Returns ------- K : float Loss coefficient with respect to smaller, upstream diameter [-] Notes ----- Only lengths of sections currently allowed. This could be changed to understand angles also. Formula doesn't make much sense, as observed by the example comparing a series of conical sections. Use only for small numbers of segments of highly differing angles. Examples -------- >>> diffuser_conical_staged(Di1=1., Di2=10., DEs=[2,3,4], ls=[1.1,1.2,1.3,1.4], fd=0.01) 1.9317533188274658 References ---------- .. [1] Rennels, Donald C., and Hobart M. Hudson. Pipe Flow: A Practical and Comprehensive Guide. 1st edition. Hoboken, N.J: Wiley, 2012. ''' K = 0.0 K += diffuser_conical(Di1=Di1, Di2=DEs[0], l=ls[0], fd=fd, method=method) K += diffuser_conical(Di1=DEs[-1], Di2=Di2, l=ls[-1], fd=fd, method=method) for i in range(len(DEs)-1): K += diffuser_conical(Di1=DEs[i], Di2=DEs[i+1], l=ls[i+1], fd=fd, method=method) return K def diffuser_curved(Di1, Di2, l): r'''Returns loss coefficient for any curved wall pipe expansion as shown in [1]_. .. math:: K_1 = \phi(1.43-1.3\beta^2)(1-\beta^2)^2 .. math:: \phi = 1.01 - 0.624\frac{l}{d_1} + 0.30\left(\frac{l}{d_1}\right)^2 - 0.074\left(\frac{l}{d_1}\right)^3 + 0.0070\left(\frac{l}{d_1}\right)^4 .. figure:: fittings/curved_wall_diffuser.png :scale: 25 % :alt: diffuser curved; after [1]_ Parameters ---------- Di1 : float Inside diameter of original pipe (smaller), [m] Di2 : float Inside diameter of following pipe (larger), [m] l : float Length of the curve along the pipe axis, [m] Returns ------- K : float Loss coefficient [-] Notes ----- Beta^2 should be between 0.1 and 0.9. A small mismatch between tabulated values of this function in table 11.3 is observed with the equation presented. Examples -------- >>> diffuser_curved(Di1=.25**0.5, Di2=1., l=2.) 0.2299781250000002 References ---------- .. [1] Rennels, Donald C., and Hobart M. Hudson. Pipe Flow: A Practical and Comprehensive Guide. 1st edition. Hoboken, N.J: Wiley, 2012. ''' beta = Di1/Di2 phi = 1.01 - 0.624*l/Di1 + 0.30*(l/Di1)**2 - 0.074*(l/Di1)**3 + 0.0070*(l/Di1)**4 return phi*(1.43 - 1.3*beta**2)*(1 - beta**2)**2 def diffuser_pipe_reducer(Di1, Di2, l, fd1, fd2=None): r'''Returns loss coefficient for any pipe reducer pipe expansion as shown in [1]. This is an approximate formula. .. math:: K_f = f_1\frac{0.20l}{d_1} + \frac{f_1(1-\beta)}{8\sin(\alpha/2)} + f_2\frac{0.20l}{d_2}\beta^4 .. math:: \alpha = 2\tan^{-1}\left(\frac{d_1-d_2}{1.20l}\right) Parameters ---------- Di1 : float Inside diameter of original pipe (smaller), [m] Di2 : float Inside diameter of following pipe (larger), [m] l : float Length of the pipe reducer along the pipe axis, [m] fd1 : float Darcy friction factor at inlet diameter [-] fd2 : float Darcy friction factor at outlet diameter, optional [-] Returns ------- K : float Loss coefficient [-] Notes ----- Industry lack of standardization prevents better formulas from being developed. Add 15% if the reducer is eccentric. Friction factor at outlet will be assumed the same as at inlet if not specified. Doubt about the validity of this equation is raised. Examples -------- >>> diffuser_pipe_reducer(Di1=.5, Di2=.75, l=1.5, fd1=0.07) 0.06873244301714816 References ---------- .. [1] Rennels, Donald C., and Hobart M. Hudson. Pipe Flow: A Practical and Comprehensive Guide. 1st edition. Hoboken, N.J: Wiley, 2012. ''' if fd2 is None: fd2 = fd1 beta = Di1/Di2 angle = -2*atan((Di1-Di2)/1.20/l) K = fd1*0.20*l/Di1 + fd1*(1-beta)/8./sin(angle/2) + fd2*0.20*l/Di2*beta**4 return K ### TODO: Tees DARBY_ANGLE_45DEG_FULL_VALVE = 'Valve, Angle valve, 45°, full line size, β = 1' DARBY_ANGLE_90DEG_FULL_VALVE = 'Valve, Angle valve, 90°, full line size, β = 1' DARBY_GLOBE_FULL_VALVE = 'Valve, Globe valve, standard, β = 1' DARBY_PLUG_VALVE_BRANCH_FLOW = 'Valve, Plug valve, branch flow' DARBY_PLUG_VALVE_STRAIGHT_THROUGH = 'Valve, Plug valve, straight through' DARBY_PLUG_VALVE_THREE_WAY_FLOW_THROUGH = 'Valve, Plug valve, three-way (flow through)' DARBY_GATE_VALVE = 'Valve, Gate valve, standard, β = 1' DARBY_BALL_VALVE = 'Valve, Ball valve, standard, β = 1' DARBY_DIAPHRAGM_DAM_VALVE = 'Valve, Diaphragm, dam type' DARBY_SWING_CHECK_VALVE = 'Valve, Swing check' DARBY_LIFT_CHECK_VALVE = 'Valve, Lift check' DARBY_VALVES = [DARBY_ANGLE_45DEG_FULL_VALVE, DARBY_ANGLE_90DEG_FULL_VALVE, DARBY_GLOBE_FULL_VALVE, DARBY_PLUG_VALVE_BRANCH_FLOW, DARBY_PLUG_VALVE_STRAIGHT_THROUGH, DARBY_PLUG_VALVE_THREE_WAY_FLOW_THROUGH, DARBY_GATE_VALVE, DARBY_BALL_VALVE, DARBY_DIAPHRAGM_DAM_VALVE, DARBY_SWING_CHECK_VALVE, DARBY_LIFT_CHECK_VALVE] ### 3 Darby 3K Method (with valves) Darby = {} '''Dictionary of coefficients for Darby's 3K fitting pressure drop method; the tuple contains :math:`K_1` and :math:`K_i` and :math:`K_d` in that order. ''' Darby['Elbow, 90°, threaded, standard, (r/D = 1)'] = (800.0, 0.14, 4.0) Darby['Elbow, 90°, threaded, long radius, (r/D = 1.5)'] = (800.0, 0.071, 4.2) Darby['Elbow, 90°, flanged, welded, bends, (r/D = 1)'] = (800.0, 0.091, 4.0) Darby['Elbow, 90°, (r/D = 2)'] = (800.0, 0.056, 3.9) Darby['Elbow, 90°, (r/D = 4)'] = (800.0, 0.066, 3.9) Darby['Elbow, 90°, (r/D = 6)'] = (800.0, 0.075, 4.2) Darby['Elbow, 90°, mitered, 1 weld, (90°)'] = (1000.00, 0.27, 4.0) Darby['Elbow, 90°, 2 welds, (45°)'] = (800.0, 0.068, 4.1) Darby['Elbow, 90°, 3 welds, (30°)'] = (800.0, 0.035, 4.2) Darby['Elbow, 45°, threaded standard, (r/D = 1)'] = (500.0, 0.071, 4.2) Darby['Elbow, 45°, long radius, (r/D = 1.5)'] = (500.0, 0.052, 4.0) Darby['Elbow, 45°, mitered, 1 weld, (45°)'] = (500.0, 0.086, 4.0) Darby['Elbow, 45°, mitered, 2 welds, (22.5°)'] = (500.0, 0.052, 4.0) Darby['Elbow, 180°, threaded, close-return bend, (r/D = 1)'] = (1000.00, 0.23, 4.0) Darby['Elbow, 180°, flanged, (r/D = 1)'] = (1000.00, 0.12, 4.0) Darby['Elbow, 180°, all, (r/D = 1.5)'] = (1000.00, 0.1, 4.0) Darby['Tee, Through-branch, (as elbow), threaded, (r/D = 1)'] = (500.0, 0.274, 4.0) Darby['Tee, Through-branch,(as elbow), (r/D = 1.5)'] = (800.0, 0.14, 4.0) Darby['Tee, Through-branch, (as elbow), flanged, (r/D = 1)'] = (800.0, 0.28, 4.0) Darby['Tee, Through-branch, (as elbow), stub-in branch'] = (1000.00, 0.34, 4.0) Darby['Tee, Run-through, threaded, (r/D = 1)'] = (200.0, 0.091, 4.0) Darby['Tee, Run-through, flanged, (r/D = 1)'] = (150.0, 0.05, 4.0) Darby['Tee, Run-through, stub-in branch'] = (100.0, 0.0, 0.0) Darby[DARBY_ANGLE_45DEG_FULL_VALVE] = (950.0, 0.25, 4.0) Darby[DARBY_ANGLE_90DEG_FULL_VALVE] = (1000.0, 0.69, 4.0) Darby[DARBY_GLOBE_FULL_VALVE] = (1500.0, 1.7, 3.6) Darby[DARBY_PLUG_VALVE_BRANCH_FLOW] = (500.0, 0.41, 4.0) Darby[DARBY_PLUG_VALVE_STRAIGHT_THROUGH] = (300.0, 0.084, 3.9) Darby[DARBY_PLUG_VALVE_THREE_WAY_FLOW_THROUGH] = (300.0, 0.14, 4.0) Darby[DARBY_GATE_VALVE] = (300.0, 0.037, 3.9) Darby[DARBY_BALL_VALVE] = (300.0, 0.017, 3.5) Darby[DARBY_DIAPHRAGM_DAM_VALVE] = (1000.00, 0.69, 4.9) Darby[DARBY_SWING_CHECK_VALVE] = (1500.0, 0.46, 4.0) Darby[DARBY_LIFT_CHECK_VALVE] = (2000.00, 2.85, 3.8) try: if IS_NUMBA: # type: ignore Darby_keys = tuple(Darby.keys()) Darby_values = tuple(Darby.values()) except: pass def Darby3K(NPS=None, Re=None, name=None, K1=None, Ki=None, Kd=None, Di=None): r'''Returns loss coefficient for any various fittings, depending on the name input. Alternatively, the Darby constants K1, Ki and Kd may be provided and used instead. Source of data is [1]_. Reviews of this model are favorable. .. math:: K_f = \frac{K_1}{Re} + K_i\left(1 + \frac{K_d}{D_{\text{NPS}}^{0.3}} \right) Note this model uses nominal pipe diameter in inches. Parameters ---------- NPS : float Nominal diameter of the pipe, [in] Re : float Reynolds number, [-] name : str String from Darby dict representing a fitting K1 : float K1 parameter of Darby model, optional [-] Ki : float Ki parameter of Darby model, optional [-] Kd : float Kd parameter of Darby model, optional [in] Di : float If specified, the NPS will be found by interpolating linearly (with extrapolation) along the schedule 40 diameters and NPSs; this will supersede NPS if it is specified, [m] Returns ------- K : float Loss coefficient [-] Notes ----- Also described in Albright's Handbook and Ludwig's Applied Process Design. Relatively uncommon to see it used. The possibility of combining these methods with those above are attractive. Examples -------- >>> Darby3K(NPS=2., Re=10000., name='Valve, Angle valve, 45°, full line size, β = 1') 1.1572523963562356 >>> Darby3K(Di=.05248, Re=10000., name='Valve, Angle valve, 45°, full line size, β = 1') 1.1572523963562356 >>> Darby3K(NPS=12., Re=10000., K1=950, Ki=0.25, Kd=4) 0.819510280626355 References ---------- .. [1] Silverberg, Peter, and Ron Darby. "Correlate Pressure Drops through Fittings: Three Constants Accurately Calculate Flow through Elbows, Valves and Tees." Chemical Engineering 106, no. 7 (July 1999): 101. .. [2] Silverberg, Peter. "Correlate Pressure Drops Through Fittings." Chemical Engineering 108, no. 4 (April 2001): 127,129-130. ''' if Di is not None: NPS = interp(Di*1000.0, S40i, NPS40, extrapolate=True) if name is not None: K1 = None if name in Darby: # NUMBA: DELETE K1, Ki, Kd = Darby[name] # NUMBA: DELETE if K1 is None: try: K1, Ki, Kd = Darby_values[Darby_keys.index(name)] except: raise ValueError('Name of fitting is not in database') elif K1 is not None and Ki is not None and Kd is not None: pass else: raise ValueError('Name of fitting or constants are required') return K1/Re + Ki*(1. + Kd*NPS**-0.3) ### 2K Hooper Method HOOPER_CHECK_VALVE_TILTING_DISK = 'Valve, Check, Tilting-disc' HOOPER_CHECK_VALVE_SWING = 'Valve, Check, Swing' HOOPER_CHECK_VALVE_LIFT = 'Valve, Check, Lift' HOOPER_BUTTERFLY_VALVE = 'Valve, Butterfly,' HOOPER_DIAPHRAGM_DAM_VALVE = 'Valve, Diaphragm, Dam type' HOOPER_GLOBE_ANGLED_OR_Y_VALVE = 'Valve, Globe, Angle or Y-type' HOOPER_GLOBE_STANDARD_VALVE = 'Valve, Globe, Standard' HOOPER_PLUG_REDUCED_TRIM_VALVE = 'Valve, Plug, Reduced trim, Beta = 0.8' HOOPER_BALL_REDUCED_TRIM_VALVE = 'Valve, Ball, Reduced trim, Beta = 0.9' HOOPER_GATE_FULL_LINE_SIZE_VALVE = 'Valve, Gate, Full line size, Beta = 1' HOOPER_VALVES = [HOOPER_CHECK_VALVE_TILTING_DISK, HOOPER_CHECK_VALVE_SWING, HOOPER_CHECK_VALVE_LIFT, HOOPER_BUTTERFLY_VALVE, HOOPER_DIAPHRAGM_DAM_VALVE, HOOPER_GLOBE_ANGLED_OR_Y_VALVE, HOOPER_GLOBE_STANDARD_VALVE, HOOPER_PLUG_REDUCED_TRIM_VALVE, HOOPER_BALL_REDUCED_TRIM_VALVE, HOOPER_GATE_FULL_LINE_SIZE_VALVE] Hooper = {} r'''Dictionary of coefficients for Hooper's 2K fitting pressure drop method; the tuple contains :math:`K_1` and :math:`K_\infty` in that order. ''' Hooper['Elbow, 90°, Standard (R/D = 1), Screwed'] = (800.0, 0.4) Hooper['Elbow, 90°, Standard (R/D = 1), Flanged/welded'] = (800.0, 0.25) Hooper['Elbow, 90°, Long-radius (R/D = 1.5), All types'] = (800.0, 0.2) Hooper['Elbow, 90°, Mitered (R/D = 1.5), 1 weld (90° angle)'] = (1000.0, 1.15) Hooper['Elbow, 90°, Mitered (R/D = 1.5), 2 weld (45° angle)'] = (800.0, 0.35) Hooper['Elbow, 90°, Mitered (R/D = 1.5), 3 weld (30° angle)'] = (800.0, 0.3) Hooper['Elbow, 90°, Mitered (R/D = 1.5), 4 weld (22.5° angle)'] = (800.0, 0.27) Hooper['Elbow, 90°, Mitered (R/D = 1.5), 5 weld (18° angle)'] = (800.0, 0.25) Hooper['Elbow, 45°, Standard (R/D = 1), All types'] = (500.0, 0.2) Hooper['Elbow, 45°, Long-radius (R/D 1.5), All types'] = (500.0, 0.15) Hooper['Elbow, 45°, Mitered (R/D=1.5), 1 weld (45° angle)'] = (500.0, 0.25) Hooper['Elbow, 45°, Mitered (R/D=1.5), 2 weld (22.5° angle)'] = (500.0, 0.15) Hooper['Elbow, 45°, Standard (R/D = 1), Screwed'] = (1000.0, 0.7) Hooper['Elbow, 180°, Standard (R/D = 1), Flanged/welded'] = (1000.0, 0.35) Hooper['Elbow, 180°, Long-radius (R/D = 1.5), All types'] = (1000.0, 0.3) Hooper['Elbow, Used as, Standard, Screwed'] = (500.0, 0.7) Hooper['Elbow, Elbow, Long-radius, Screwed'] = (800.0, 0.4) Hooper['Elbow, Elbow, Standard, Flanged/welded'] = (800.0, 0.8) Hooper['Elbow, Elbow, Stub-in type branch'] = (1000.0, 1.0) Hooper['Tee, Run, Screwed'] = (200.0, 0.1) Hooper['Tee, Through, Flanged or welded'] = (150.0, 0.05) Hooper['Tee, Tee, Stub-in type branch'] = (100.0, 0.0) Hooper[HOOPER_GATE_FULL_LINE_SIZE_VALVE] = (300.0, 0.1) Hooper[HOOPER_BALL_REDUCED_TRIM_VALVE] = (500.0, 0.15) Hooper[HOOPER_PLUG_REDUCED_TRIM_VALVE] = (1000.0, 0.25) Hooper[HOOPER_GLOBE_STANDARD_VALVE] = (1500.0, 4.0) Hooper[HOOPER_GLOBE_ANGLED_OR_Y_VALVE] = (1000.0, 2.0) Hooper[HOOPER_DIAPHRAGM_DAM_VALVE] = (1000.0, 2.0) Hooper[HOOPER_BUTTERFLY_VALVE] = (800.0, 0.25) Hooper[HOOPER_CHECK_VALVE_LIFT] = (2000.0, 10.0) Hooper[HOOPER_CHECK_VALVE_SWING] = (1500.0, 1.5) Hooper[HOOPER_CHECK_VALVE_TILTING_DISK] = (1000.0, 0.5) try: if IS_NUMBA: # type: ignore Hooper_keys = tuple(Hooper.keys()) Hooper_values = tuple(Hooper.values()) except: pass def Hooper2K(Di, Re, name=None, K1=None, Kinfty=None): r'''Returns loss coefficient for any various fittings, depending on the name input. Alternatively, the Hooper constants K1, Kinfty may be provided and used instead. Source of data is [1]_. Reviews of this model are favorable less favorable than the Darby method but superior to the constant-K method. .. math:: K = \frac{K_1}{Re} + K_\infty\left(1 + \frac{1\text{ inch}}{D_{in}}\right) **Note this model uses actual inside pipe diameter in inches.** Parameters ---------- Di : float Actual inside diameter of the pipe, [in] Re : float Reynolds number, [-] name : str, optional String from Hooper dict representing a fitting K1 : float, optional K1 parameter of Hooper model, optional [-] Kinfty : float, optional Kinfty parameter of Hooper model, optional [-] Returns ------- K : float Loss coefficient [-] Notes ----- Also described in Ludwig's Applied Process Design. Relatively uncommon to see it used. No actual example found. Examples -------- >>> Hooper2K(Di=2., Re=10000., name='Valve, Globe, Standard') 6.15 >>> Hooper2K(Di=2., Re=10000., K1=900, Kinfty=4) 6.09 References ---------- .. [1] Hooper, W. B., "The 2-K Method Predicts Head Losses in Pipe Fittings," Chem. Eng., p. 97, Aug. 24 (1981). .. [2] Hooper, William B. "Calculate Head Loss Caused by Change in Pipe Size." Chemical Engineering 95, no. 16 (November 7, 1988): 89. .. [3] Kayode Coker. Ludwig's Applied Process Design for Chemical and Petrochemical Plants. 4E. Amsterdam ; Boston: Gulf Professional Publishing, 2007. ''' if name is not None: K1 = None if name in Hooper: # NUMBA: DELETE K1, Kinfty = Hooper[name] # NUMBA: DELETE if K1 is None: try: K1, Kinfty = Hooper_values[Hooper_keys.index(name)] except: raise ValueError('Name of fitting is not in database') elif K1 is not None and Kinfty is not None: pass else: raise ValueError('Name of fitting or constants are required') return K1/Re + Kinfty*(1. + 1./Di) ### Valves def Kv_to_Cv(Kv): r'''Convert valve flow coefficient from imperial to common metric units. .. math:: C_v = 1.156 K_v Parameters ---------- Kv : float Metric Kv valve flow coefficient (flow rate of water at a pressure drop of 1 bar) [m^3/hr] Returns ------- Cv : float Imperial Cv valve flow coefficient (flow rate of water at a pressure drop of 1 psi) [gallons/minute] Notes ----- Kv = 0.865 Cv is in the IEC standard 60534-2-1. It has also been said that Cv = 1.17Kv; this is wrong by current standards. The conversion factor does not depend on the density of the fluid or the diameter of the valve. It is calculated with the definition of a US gallon as 231 cubic inches, and a psi as a pound-force per square inch. The exact conversion coefficient between Kv to Cv is 1.1560992283536566; it is rounded in the formula above. Examples -------- >>> Kv_to_Cv(2) 2.3121984567073133 References ---------- .. [1] ISA-75.01.01-2007 (60534-2-1 Mod) Draft ''' return 1.1560992283536566*Kv def Cv_to_Kv(Cv): r'''Convert valve flow coefficient from imperial to common metric units. .. math:: K_v = C_v/1.156 Parameters ---------- Cv : float Imperial Cv valve flow coefficient (flow rate of water at a pressure drop of 1 psi) [gallons/minute] Returns ------- Kv : float Metric Kv valve flow coefficient (flow rate of water at a pressure drop of 1 bar) [m^3/hr] Notes ----- Kv = 0.865 Cv is in the IEC standard 60534-2-1. It has also been said that Cv = 1.17Kv; this is wrong by current standards. The conversion factor does not depend on the density of the fluid or the diameter of the valve. It is calculated with the definition of a US gallon as 231 cubic inches, and a psi as a pound-force per square inch. The exact conversion coefficient between Kv to Cv is 1.1560992283536566; it is rounded in the formula above. Examples -------- >>> Cv_to_Kv(2.312) 1.9998283393826013 References ---------- .. [1] ISA-75.01.01-2007 (60534-2-1 Mod) Draft ''' return Cv/1.1560992283536566 def Kv_to_K(Kv, D): r'''Convert valve flow coefficient from common metric units to regular loss coefficients. .. math:: K = 1.6\times 10^9 \frac{D^4}{K_v^2} Parameters ---------- Kv : float Metric Kv valve flow coefficient (flow rate of water at a pressure drop of 1 bar) [m^3/hr] D : float Inside diameter of the valve [m] Returns ------- K : float Loss coefficient, [-] Notes ----- Crane TP 410 M (2009) gives the coefficient of 0.04 (with diameter in mm). It also suggests the density of water should be found between 5-40°C. Older versions specify the density should be found at 60 °F, which is used here, and the pessure for the appropriate density is back calculated. .. math:: \Delta P = 1 \text{ bar} = \frac{1}{2}\rho V^2\cdot K V = \frac{\frac{K_v\cdot \text{ hour}}{3600 \text{ second}}}{\frac{\pi}{4}D^2} \rho = 999.29744568 \;\; kg/m^3 \text{ at } T=60° F, P = 703572 Pa The value of density is calculated with IAPWS-95; it is chosen as it makes the coefficient a very convenient round number. Others constants that have been used are 1.604E9, and 1.60045E9. Examples -------- >>> Kv_to_K(2.312, .015) 15.153374600399898 References ---------- .. [1] ISA-75.01.01-2007 (60534-2-1 Mod) Draft ''' return 1.6E9*D**4*Kv**-2 def K_to_Kv(K, D): r'''Convert regular loss coefficient to valve flow coefficient. .. math:: K_v = 4\times 10^4 \sqrt{ \frac{D^4}{K}} Parameters ---------- K : float Loss coefficient, [-] D : float Inside diameter of the valve [m] Returns ------- Kv : float Metric Kv valve flow coefficient (flow rate of water at a pressure drop of 1 bar) [m^3/hr] Notes ----- Crane TP 410 M (2009) gives the coefficient of 0.04 (with diameter in mm). It also suggests the density of water should be found between 5-40°C. Older versions specify the density should be found at 60 °F, which is used here, and the pessure for the appropriate density is back calculated. .. math:: \Delta P = 1 \text{ bar} = \frac{1}{2}\rho V^2\cdot K V = \frac{\frac{K_v\cdot \text{ hour}}{3600 \text{ second}}}{\frac{\pi}{4}D^2} \rho = 999.29744568 \;\; kg/m^3 \text{ at } T=60° F, P = 703572 Pa The value of density is calculated with IAPWS-95; it is chosen as it makes the coefficient a very convenient round number. Others constants that have been used are 1.604E9, and 1.60045E9. Examples -------- >>> K_to_Kv(15.15337460039990, .015) 2.312 References ---------- .. [1] ISA-75.01.01-2007 (60534-2-1 Mod) Draft ''' return D*D*sqrt(1.6E9/K) def K_to_Cv(K, D): r'''Convert regular loss coefficient to imperial valve flow coefficient. .. math:: K_v = 1.156 \cdot 4\times 10^4 \sqrt{ \frac{D^4}{K}} Parameters ---------- K : float Loss coefficient, [-] D : float Inside diameter of the valve [m] Returns ------- Cv : float Imperial Cv valve flow coefficient (flow rate of water at a pressure drop of 1 psi) [gallons/minute] Notes ----- The conversion factor does not depend on the density of the fluid or the diameter of the valve. It is calculated with the definition of a US gallon as 231 cubic inches, and a psi as a pound-force per square inch. The exact conversion coefficient between Kv to Cv is 1.1560992283536566; it is rounded in the formula above. Examples -------- >>> K_to_Cv(16, .015) 2.601223263795727 References ---------- .. [1] ISA-75.01.01-2007 (60534-2-1 Mod) Draft ''' return 1.1560992283536566*D*D*sqrt(1.6E9/K) def Cv_to_K(Cv, D): r'''Convert imperial valve flow coefficient from imperial units to regular loss coefficients. .. math:: K = 1.6\times 10^9 \frac{D^4}{\left(\frac{C_v}{1.56}\right)^2} Parameters ---------- Cv : float Imperial Cv valve flow coefficient (flow rate of water at a pressure drop of 1 psi) [gallons/minute] D : float Inside diameter of the valve [m] Returns ------- K : float Loss coefficient, [-] Notes ----- The exact conversion coefficient between Kv to Cv is 1.1560992283536566; it is rounded in the formula above. Examples -------- >>> Cv_to_K(2.712, .015) 14.719595348352 References ---------- .. [1] ISA-75.01.01-2007 (60534-2-1 Mod) Draft ''' D2 = D*D term = (Cv*(1.0/1.1560992283536566)) return 1.6E9*D2*D2/(term*term) def K_gate_valve_Crane(D1, D2, angle, fd=None): r'''Returns loss coefficient for a gate valve of types wedge disc, double disc, or plug type, as shown in [1]_. If β = 1 and θ = 0: .. math:: K = K_1 = K_2 = 8f_d If β < 1 and θ <= 45°: .. math:: K_2 = \frac{K + \sin \frac{\theta}{2} \left[0.8(1-\beta^2) + 2.6(1-\beta^2)^2\right]}{\beta^4} If β < 1 and θ > 45°: .. math:: K_2 = \frac{K + 0.5\sqrt{\sin\frac{\theta}{2}}(1-\beta^2) + (1-\beta^2)^2}{\beta^4} Parameters ---------- D1 : float Diameter of the valve seat bore (must be smaller or equal to `D2`), [m] D2 : float Diameter of the pipe attached to the valve, [m] angle : float Angle formed by the reducer in the valve, [degrees] fd : float, optional Darcy friction factor calculated for the actual pipe flow in clean steel (roughness = 0.0018 inch) in the fully developed turbulent region; do not specify this to use the original Crane friction factor! [-] Returns ------- K : float Loss coefficient with respect to the pipe inside diameter [-] Notes ----- This method is not valid in the laminar regime and the pressure drop will be underestimated in those conditions [2]_. Examples -------- Example 7-4 in [1]_; a 150 by 100 mm class 600 steel gate valve, conically tapered ports, length 550 mm, back of sear ring ~150 mm. The valve is connected to 146 mm schedule 80 pipe. The angle can be calculated to be 13 degrees. The valve is specified to be operating in turbulent conditions. >>> K_gate_valve_Crane(D1=.1, D2=.146, angle=13.115) 1.1466029421844073 The calculated result is lower than their value of 1.22; the difference is due to Crane's generous intermediate rounding. A later, Imperial edition of Crane rounds differently - and comes up with K=1.06. References ---------- .. [1] Crane Co. Flow of Fluids Through Valves, Fittings, and Pipe. Crane, 2009. .. [2] Harvey Wilson. "Pressure Drop in Pipe Fittings and Valves | Equivalent Length and Resistance Coefficient." Katmar Software. Accessed July 28, 2017. http://www.katmarsoftware.com/articles/pipe-fitting-pressure-drop.htm. ''' angle = radians(angle) beta = D1/D2 if fd is None: fd = ft_Crane(D2) K1 = 8.0*fd # This does not refer to upstream loss per se if beta == 1.0 or angle == 0.0: return K1 # upstream and down else: beta2 = beta*beta one_m_beta2 = 1.0 - beta2 if angle <= 0.7853981633974483: K = (K1 + sin(0.5*angle)*(one_m_beta2*(0.8 + 2.6*one_m_beta2)))/(beta2*beta2) else: K = (K1 + one_m_beta2*(0.5*sqrt(sin(0.5*angle)) + one_m_beta2))/(beta2*beta2) return K def K_globe_valve_Crane(D1, D2, fd=None): r'''Returns the loss coefficient for all types of globe valve, (reduced seat or throttled) as shown in [1]_. If β = 1: .. math:: K = K_1 = K_2 = 340 f_d Otherwise: .. math:: K_2 = \frac{K + \left[0.5(1-\beta^2) + (1-\beta^2)^2\right]}{\beta^4} Parameters ---------- D1 : float Diameter of the valve seat bore (must be smaller or equal to `D2`), [m] D2 : float Diameter of the pipe attached to the valve, [m] fd : float, optional Darcy friction factor calculated for the actual pipe flow in clean steel (roughness = 0.0018 inch) in the fully developed turbulent region; do not specify this to use the original Crane friction factor!, [-] Returns ------- K : float Loss coefficient with respect to the pipe inside diameter [-] Notes ----- This method is not valid in the laminar regime and the pressure drop will be underestimated in those conditions. Examples -------- >>> K_globe_valve_Crane(.01, .02) 135.9200548324305 References ---------- .. [1] Crane Co. Flow of Fluids Through Valves, Fittings, and Pipe. Crane, 2009. ''' beta = D1/D2 if fd is None: fd = ft_Crane(D2) K1 = 340.0*fd if beta == 1.0: return K1 # upstream and down else: beta2 = beta*beta one_m_beta = 1.0 - beta one_m_beta2 = 1.0 - beta2 return (K1 + beta*(0.5*one_m_beta*one_m_beta + one_m_beta2*one_m_beta2))/(beta2*beta2) def K_angle_valve_Crane(D1, D2, fd=None, style=0): r'''Returns the loss coefficient for all types of angle valve, (reduced seat or throttled) as shown in [1]_. If β = 1: .. math:: K = K_1 = K_2 = N\cdot f_d Otherwise: .. math:: K_2 = \frac{K + \left[0.5(1-\beta^2) + (1-\beta^2)^2\right]}{\beta^4} For style 0 and 2, N = 55; for style 1, N=150. Parameters ---------- D1 : float Diameter of the valve seat bore (must be smaller or equal to `D2`), [m] D2 : float Diameter of the pipe attached to the valve, [m] fd : float, optional Darcy friction factor calculated for the actual pipe flow in clean steel (roughness = 0.0018 inch) in the fully developed turbulent region; do not specify this to use the original Crane friction factor!, [-] style : int, optional One of 0, 1, or 2; refers to three different types of angle valves as shown in [1]_ [-] Returns ------- K : float Loss coefficient with respect to the pipe inside diameter [-] Notes ----- This method is not valid in the laminar regime and the pressure drop will be underestimated in those conditions. Examples -------- >>> K_angle_valve_Crane(.01, .02) 26.597361811128465 References ---------- .. [1] Crane Co. Flow of Fluids Through Valves, Fittings, and Pipe. Crane, 2009. ''' beta = D1/D2 if style not in (0, 1, 2): raise ValueError('Valve style should be 0, 1, or 2') if fd is None: fd = ft_Crane(D2) if style == 0 or style == 2: K1 = 55.0*fd else: K1 = 150.0*fd if beta == 1: return K1 # upstream and down else: return (K1 + beta*(0.5*(1-beta)**2 + (1-beta**2)**2))/beta**4 def K_swing_check_valve_Crane(D=None, fd=None, angled=True): r'''Returns the loss coefficient for a swing check valve as shown in [1]_. .. math:: K_2 = N\cdot f_d For angled swing check valves N = 100; for straight valves, N = 50. Parameters ---------- D : float, optional Diameter of the pipe attached to the valve, [m] fd : float, optional Darcy friction factor calculated for the actual pipe flow in clean steel (roughness = 0.0018 inch) in the fully developed turbulent region; do not specify this to use the original Crane friction factor!, [-] angled : bool, optional If True, returns a value 2x the unangled value; the style of the valve [-] Returns ------- K : float Loss coefficient with respect to the pipe inside diameter [-] Notes ----- This method is not valid in the laminar regime and the pressure drop will be underestimated in those conditions. Examples -------- >>> K_swing_check_valve_Crane(D=.02) 2.3974274785373257 References ---------- .. [1] Crane Co. Flow of Fluids Through Valves, Fittings, and Pipe. Crane, 2009. ''' if D is None and fd is None: raise ValueError('Either `D` or `fd` must be specified') if fd is None: fd = ft_Crane(D) if angled: return 100.*fd return 50.*fd def K_lift_check_valve_Crane(D1, D2, fd=None, angled=True): r'''Returns the loss coefficient for a lift check valve as shown in [1]_. If β = 1: .. math:: K = K_1 = K_2 = N\cdot f_d Otherwise: .. math:: K_2 = \frac{K + \left[0.5(1-\beta^2) + (1-\beta^2)^2\right]}{\beta^4} For angled lift check valves N = 55; for straight valves, N = 600. Parameters ---------- D1 : float Diameter of the valve seat bore (must be smaller or equal to `D2`), [m] D2 : float Diameter of the pipe attached to the valve, [m] fd : float, optional Darcy friction factor calculated for the actual pipe flow in clean steel (roughness = 0.0018 inch) in the fully developed turbulent region; do not specify this to use the original Crane friction factor!, [-] angled : bool, optional If True, returns a value 2x the unangled value; the style of the valve [-] Returns ------- K : float Loss coefficient with respect to the pipe inside diameter [-] Notes ----- This method is not valid in the laminar regime and the pressure drop will be underestimated in those conditions. Examples -------- >>> K_lift_check_valve_Crane(.01, .02) 28.597361811128465 References ---------- .. [1] Crane Co. Flow of Fluids Through Valves, Fittings, and Pipe. Crane, 2009. ''' beta = D1/D2 if fd is None: fd = ft_Crane(D2) if angled: K1 = 55*fd if beta == 1: return K1 else: return (K1 + beta*(0.5*(1 - beta**2) + (1 - beta**2)**2))/beta**4 else: K1 = 600.*fd if beta == 1: return K1 else: return (K1 + beta*(0.5*(1 - beta**2) + (1 - beta**2)**2))/beta**4 def K_tilting_disk_check_valve_Crane(D, angle, fd=None): r'''Returns the loss coefficient for a tilting disk check valve as shown in [1]_. Results are specified in [1]_ to be for the disk's resting position to be at 5 or 25 degrees to the flow direction. The model is implemented here so as to switch to the higher loss 15 degree coefficients at 10 degrees, and use the lesser coefficients for any angle under 10 degrees. .. math:: K = N\cdot f_d N is obtained from the following table: +--------+-------------+-------------+ | | angle = 5 ° | angle = 15° | +========+=============+=============+ | 2-8" | 40 | 120 | +--------+-------------+-------------+ | 10-14" | 30 | 90 | +--------+-------------+-------------+ | 16-48" | 20 | 60 | +--------+-------------+-------------+ The actual change of coefficients happen at <= 9" and <= 15". Parameters ---------- D : float Diameter of the pipe section the valve in mounted in; the same as the line size [m] angle : float Angle of the tilting disk to the flow direction; nominally 5 or 15 degrees [degrees] fd : float, optional Darcy friction factor calculated for the actual pipe flow in clean steel (roughness = 0.0018 inch) in the fully developed turbulent region; do not specify this to use the original Crane friction factor!, [-] Returns ------- K : float Loss coefficient with respect to the pipe inside diameter [-] Notes ----- This method is not valid in the laminar regime and the pressure drop will be underestimated in those conditions. Examples -------- >>> K_tilting_disk_check_valve_Crane(.01, 5) 1.1626516551826345 References ---------- .. [1] Crane Co. Flow of Fluids Through Valves, Fittings, and Pipe. Crane, 2009. ''' if fd is None: fd = ft_Crane(D) if angle < 10: # 5 degree case if D <= 0.2286: # 2-8 inches, split at 9 inch return 40*fd elif D <= 0.381: # 10-14 inches, split at 15 inch return 30*fd else: # 16-18 inches return 20*fd else: # 15 degree case if D < 0.2286: # 2-8 inches return 120*fd elif D < 0.381: # 10-14 inches return 90*fd else: # 16-18 inches return 60*fd globe_stop_check_valve_Crane_coeffs = {0: 400.0, 1: 300.0, 2: 55.0} def K_globe_stop_check_valve_Crane(D1, D2, fd=None, style=0): r'''Returns the loss coefficient for a globe stop check valve as shown in [1]_. If β = 1: .. math:: K = K_1 = K_2 = N\cdot f_d Otherwise: .. math:: K_2 = \frac{K + \left[0.5(1-\beta^2) + (1-\beta^2)^2\right]}{\beta^4} Style 0 is the standard form; style 1 is angled, with a restrition to force the flow up through the valve; style 2 is also angled but with a smaller restriction forcing the flow up. N is 400, 300, and 55 for those cases respectively. Parameters ---------- D1 : float Diameter of the valve seat bore (must be smaller or equal to `D2`), [m] D2 : float Diameter of the pipe attached to the valve, [m] fd : float, optional Darcy friction factor calculated for the actual pipe flow in clean steel (roughness = 0.0018 inch) in the fully developed turbulent region; do not specify this to use the original Crane friction factor!, [-] style : int, optional One of 0, 1, or 2; refers to three different types of angle valves as shown in [1]_ [-] Returns ------- K : float Loss coefficient with respect to the pipe inside diameter [-] Notes ----- This method is not valid in the laminar regime and the pressure drop will be underestimated in those conditions. Examples -------- >>> K_globe_stop_check_valve_Crane(.1, .02, style=1) 4.5235076518969795 References ---------- .. [1] Crane Co. Flow of Fluids Through Valves, Fittings, and Pipe. Crane, 2009. ''' if fd is None: fd = ft_Crane(D2) if style == 0: K = 400.0*fd elif style == 1: K = 300.0*fd elif style == 2: K = 55.0*fd else: raise ValueError('Accepted valve styles are 0, 1, and 2 only') beta = D1/D2 if beta == 1.0: return K else: return (K + beta*(0.5*(1 - beta**2) + (1 - beta**2)**2))/beta**4 angle_stop_check_valve_Crane_coeffs = {0: 200.0, 1: 350.0, 2: 55.0} def K_angle_stop_check_valve_Crane(D1, D2, fd=None, style=0): r'''Returns the loss coefficient for a angle stop check valve as shown in [1]_. If β = 1: .. math:: K = K_1 = K_2 = N\cdot f_d Otherwise: .. math:: K_2 = \frac{K + \left[0.5(1-\beta^2) + (1-\beta^2)^2\right]}{\beta^4} Style 0 is the standard form; style 1 has a restrition to force the flow up through the valve; style 2 is has the clearest flow area with no guides for the angle valve. N is 200, 350, and 55 for those cases respectively. Parameters ---------- D1 : float Diameter of the valve seat bore (must be smaller or equal to `D2`), [m] D2 : float Diameter of the pipe attached to the valve, [m] fd : float, optional Darcy friction factor calculated for the actual pipe flow in clean steel (roughness = 0.0018 inch) in the fully developed turbulent region; do not specify this to use the original Crane friction factor!, [-] style : int, optional One of 0, 1, or 2; refers to three different types of angle valves as shown in [1]_ [-] Returns ------- K : float Loss coefficient with respect to the pipe inside diameter [-] Notes ----- This method is not valid in the laminar regime and the pressure drop will be underestimated in those conditions. Examples -------- >>> K_angle_stop_check_valve_Crane(.1, .02, style=1) 4.525425593879809 References ---------- .. [1] Crane Co. Flow of Fluids Through Valves, Fittings, and Pipe. Crane, 2009. ''' if fd is None: fd = ft_Crane(D2) if style == 0: K = 200.0*fd elif style == 1: K = 350.0*fd elif style == 2: K = 55.0*fd else: raise ValueError('Accepted valve styles are 0, 1, and 2 only') beta = D1/D2 if beta == 1: return K else: return (K + beta*(0.5*(1.0 - beta**2) + (1.0 - beta**2)**2))/beta**4 def K_ball_valve_Crane(D1, D2, angle, fd=None): r'''Returns the loss coefficient for a ball valve as shown in [1]_. If β = 1: .. math:: K = K_1 = K_2 = 3f_d If β < 1 and θ <= 45°: .. math:: K_2 = \frac{K + \sin \frac{\theta}{2} \left[0.8(1-\beta^2) + 2.6(1-\beta^2)^2\right]} {\beta^4} If β < 1 and θ > 45°: .. math:: K_2 = \frac{K + 0.5\sqrt{\sin\frac{\theta}{2}}(1-\beta^2) + (1-\beta^2)^2}{\beta^4} Parameters ---------- D1 : float Diameter of the valve seat bore (must be equal to or smaller than `D2`), [m] D2 : float Diameter of the pipe attached to the valve, [m] angle : float Angle formed by the reducer in the valve, [degrees] fd : float, optional Darcy friction factor calculated for the actual pipe flow in clean steel (roughness = 0.0018 inch) in the fully developed turbulent region; do not specify this to use the original Crane friction factor!, [-] Returns ------- K : float Loss coefficient with respect to the pipe inside diameter [-] Notes ----- This method is not valid in the laminar regime and the pressure drop will be underestimated in those conditions. Examples -------- >>> K_ball_valve_Crane(.01, .02, 50) 14.051310974926592 References ---------- .. [1] Crane Co. Flow of Fluids Through Valves, Fittings, and Pipe. Crane, 2009. ''' if fd is None: fd = ft_Crane(D2) beta = D1/D2 K1 = 3*fd angle = radians(angle) if beta == 1: return K1 else: if angle <= pi/4: return (K1 + sin(angle/2)*(0.8*(1-beta**2) + 2.6*(1-beta**2)**2))/beta**4 else: return (K1 + 0.5*sqrt(sin(angle/2)) * (1 - beta**2) + (1-beta**2)**2)/beta**4 diaphragm_valve_Crane_coeffs = {0: 149.0, 1: 39.0} def K_diaphragm_valve_Crane(D=None, fd=None, style=0): r'''Returns the loss coefficient for a diaphragm valve of either weir (`style` = 0) or straight-through (`style` = 1) as shown in [1]_. .. math:: K = K_1 = K_2 = N\cdot f_d For style 0 (weir), N = 149; for style 1 (straight through), N = 39. Parameters ---------- D : float, optional Diameter of the pipe section the valve in mounted in; the same as the line size [m] fd : float, optional Darcy friction factor calculated for the actual pipe flow in clean steel (roughness = 0.0018 inch) in the fully developed turbulent region; do not specify this to use the original Crane friction factor!, [-] style : int, optional Either 0 (weir type valve) or 1 (straight through weir valve) [-] Returns ------- K : float Loss coefficient with respect to the pipe inside diameter [-] Notes ----- This method is not valid in the laminar regime and the pressure drop will be underestimated in those conditions. Examples -------- >>> K_diaphragm_valve_Crane(D=.1, style=0) 2.4269804835982565 References ---------- .. [1] Crane Co. Flow of Fluids Through Valves, Fittings, and Pipe. Crane, 2009. ''' if D is None and fd is None: raise ValueError('Either `D` or `fd` must be specified') if fd is None: fd = ft_Crane(D) if style == 0: K = 149.0*fd elif style == 1: K = 39.0*fd else: raise ValueError('Accepted valve styles are 0 (weir) or 1 (straight through) only') return K foot_valve_Crane_coeffs = {0: 420.0, 1: 75.0} def K_foot_valve_Crane(D=None, fd=None, style=0): r'''Returns the loss coefficient for a foot valve of either poppet disc (`style` = 0) or hinged-disk (`style` = 1) as shown in [1]_. Both valves are specified include the loss of the attached strainer. .. math:: K = K_1 = K_2 = N\cdot f_d For style 0 (poppet disk), N = 420; for style 1 (hinged disk), N = 75. Parameters ---------- D : float, optional Diameter of the pipe section the valve in mounted in; the same as the line size [m] fd : float, optional Darcy friction factor calculated for the actual pipe flow in clean steel (roughness = 0.0018 inch) in the fully developed turbulent region; do not specify this to use the original Crane friction factor!, [-] style : int, optional Either 0 (poppet disk foot valve) or 1 (hinged disk foot valve) [-] Returns ------- K : float Loss coefficient with respect to the pipe inside diameter [-] Notes ----- This method is not valid in the laminar regime and the pressure drop will be underestimated in those conditions. Examples -------- >>> K_foot_valve_Crane(D=0.2, style=0) 5.912221498436275 References ---------- .. [1] Crane Co. Flow of Fluids Through Valves, Fittings, and Pipe. Crane, 2009. ''' if D is None and fd is None: raise ValueError('Either `D` or `fd` must be specified') if fd is None: fd = ft_Crane(D) if style == 0: K = 420.0*fd elif style == 1: K = 75.0*fd else: raise ValueError('Accepted valve styles are 0 (poppet disk) or 1 (hinged disk) only') return K butterfly_valve_Crane_coeffs = {0: (45.0, 35.0, 25.0), 1: (74.0, 52.0, 43.0), 2: (218.0, 96.0, 55.0)} def K_butterfly_valve_Crane(D, fd=None, style=0): r'''Returns the loss coefficient for a butterfly valve as shown in [1]_. Three different types are supported; Centric (`style` = 0), double offset (`style` = 1), and triple offset (`style` = 2). .. math:: K = N\cdot f_d N is obtained from the following table: +------------+---------+---------------+---------------+ | Size range | Centric | Double offset | Triple offset | +============+=========+===============+===============+ | 2" - 8" | 45 | 74 | 218 | +------------+---------+---------------+---------------+ | 10" - 14" | 35 | 52 | 96 | +------------+---------+---------------+---------------+ | 16" - 24" | 25 | 43 | 55 | +------------+---------+---------------+---------------+ The actual change of coefficients happen at <= 9" and <= 15". Parameters ---------- D : float Diameter of the pipe section the valve in mounted in; the same as the line size [m] fd : float, optional Darcy friction factor calculated for the actual pipe flow in clean steel (roughness = 0.0018 inch) in the fully developed turbulent region; do not specify this to use the original Crane friction factor!, [-] style : int, optional Either 0 (centric), 1 (double offset), or 2 (triple offset) [-] Returns ------- K : float Loss coefficient with respect to the pipe inside diameter [-] Notes ----- This method is not valid in the laminar regime and the pressure drop will be underestimated in those conditions. Examples -------- >>> K_butterfly_valve_Crane(D=.1, style=2) 3.5508841974793284 References ---------- .. [1] Crane Co. Flow of Fluids Through Valves, Fittings, and Pipe. Crane, 2009. ''' if fd is None: fd = ft_Crane(D) if style == 0: c1, c2, c3 = 45.0, 35.0, 25.0 elif style == 1: c1, c2, c3 = 74.0, 52.0, 43.0 elif style == 2: c1, c2, c3 = 218.0, 96.0, 55.0 else: raise ValueError('Accepted valve styles are 0 (centric), 1 (double offset), or 2 (triple offset) only.') if D <= 0.2286: # 2-8 inches, split at 9 inch return c1*fd elif D <= 0.381: # 10-14 inches, split at 15 inch return c2*fd else: # 16-18 inches return c3*fd plug_valve_Crane_coeffs = {0: 18.0, 1: 30.0, 2: 90.0} def K_plug_valve_Crane(D1, D2, angle, fd=None, style=0): r'''Returns the loss coefficient for a plug valve or cock valve as shown in [1]_. If β = 1: .. math:: K = K_1 = K_2 = Nf_d Otherwise: .. math:: K_2 = \frac{K + 0.5\sqrt{\sin\frac{\theta}{2}}(1-\beta^2) + (1-\beta^2)^2}{\beta^4} Three types of plug valves are supported. For straight-through plug valves (`style` = 0), N = 18. For 3-way, flow straight through (`style` = 1) plug valves, N = 30. For 3-way, flow 90° valves (`style` = 2) N = 90. Parameters ---------- D1 : float Diameter of the valve plug bore (must be equal to or smaller than `D2`), [m] D2 : float Diameter of the pipe attached to the valve, [m] angle : float Angle formed by the reducer in the valve, [degrees] fd : float, optional Darcy friction factor calculated for the actual pipe flow in clean steel (roughness = 0.0018 inch) in the fully developed turbulent region; do not specify this to use the original Crane friction factor!, [-] style : int, optional Either 0 (straight-through), 1 (3-way, flow straight-through), or 2 (3-way, flow 90°) [-] Returns ------- K : float Loss coefficient with respect to the pipe inside diameter [-] Notes ----- This method is not valid in the laminar regime and the pressure drop will be underestimated in those conditions. Examples -------- >>> K_plug_valve_Crane(D1=.01, D2=.02, angle=50) 19.80513692341617 References ---------- .. [1] Crane Co. Flow of Fluids Through Valves, Fittings, and Pipe. Crane, 2009. ''' if fd is None: fd = ft_Crane(D2) beta = D1/D2 if style == 0: K = 18.0*fd elif style == 1: K = 30.0*fd elif style == 2: K = 90.0*fd else: raise ValueError('Accepted valve styles are 0 (straight-through), 1 (3-way, flow straight-through), or 2 (3-way, flow 90°)') angle = radians(angle) if beta == 1: return K else: return (K + 0.5*sqrt(sin(angle/2)) * (1 - beta**2) + (1-beta**2)**2)/beta**4 def v_lift_valve_Crane(rho, D1=None, D2=None, style='swing check angled'): r'''Calculates the approximate minimum velocity required to lift the disk or other controlling element of a check valve to a fully open, stable, position according to the Crane method [1]_. .. math:: v_{min} = N\cdot \text{m/s} \cdot \sqrt{\frac{\text{kg/m}^3}{\rho}} .. math:: v_{min} = N\beta^2 \cdot \text{m/s} \cdot \sqrt{\frac{\text{kg/m}^3}{\rho}} See the notes for the definition of values of N and which check valves use which formulas. Parameters ---------- rho : float Density of the fluid [kg/m^3] D1 : float, optional Diameter of the valve bore (must be equal to or smaller than `D2`), [m] D2 : float, optional Diameter of the pipe attached to the valve, [m] style : str The type of valve; one of ['swing check angled', 'swing check straight', 'swing check UL', 'lift check straight', 'lift check angled', 'tilting check 5°', 'tilting check 15°', 'stop check globe 1', 'stop check angle 1', 'stop check globe 2', 'stop check angle 2', 'stop check globe 3', 'stop check angle 3', 'foot valve poppet disc', 'foot valve hinged disc'], [-] Returns ------- v_min : float Approximate minimum velocity required to keep the disc fully lifted, preventing chattering and wear [m/s] Notes ----- This equation is not dimensionless. +--------------------------+-----+------+ | Name/string | N | Full | +==========================+=====+======+ | 'swing check angled' | 45 | No | +--------------------------+-----+------+ | 'swing check straight' | 75 | No | +--------------------------+-----+------+ | 'swing check UL' | 120 | No | +--------------------------+-----+------+ | 'lift check straight' | 50 | Yes | +--------------------------+-----+------+ | 'lift check angled' | 170 | Yes | +--------------------------+-----+------+ | 'tilting check 5°' | 100 | No | +--------------------------+-----+------+ | 'tilting check 15°' | 40 | No | +--------------------------+-----+------+ | 'stop check globe 1' | 70 | Yes | +--------------------------+-----+------+ | 'stop check angle 1' | 95 | Yes | +--------------------------+-----+------+ | 'stop check globe 2' | 75 | Yes | +--------------------------+-----+------+ | 'stop check angle 2' | 75 | Yes | +--------------------------+-----+------+ | 'stop check globe 3' | 170 | Yes | +--------------------------+-----+------+ | 'stop check angle 3' | 170 | Yes | +--------------------------+-----+------+ | 'foot valve poppet disc' | 20 | No | +--------------------------+-----+------+ | 'foot valve hinged disc' | 45 | No | +--------------------------+-----+------+ Examples -------- >>> v_lift_valve_Crane(rho=998.2, D1=0.0627, D2=0.0779, style='lift check straight') 1.0252301935349286 References ---------- .. [1] Crane Co. Flow of Fluids Through Valves, Fittings, and Pipe. Crane, 2009. ''' specific_volume = 1./rho if D1 is not None and D2 is not None: beta = D1/D2 beta2 = beta*beta if style == 'swing check angled': return 45.0*sqrt(specific_volume) elif style == 'swing check straight': return 75.0*sqrt(specific_volume) elif style == 'swing check UL': return 120.0*sqrt(specific_volume) elif style == 'lift check straight': return 50.0*beta2*sqrt(specific_volume) elif style == 'lift check angled': return 170.0*beta2*sqrt(specific_volume) elif style == 'tilting check 5°': return 100.0*sqrt(specific_volume) elif style == 'tilting check 15°': return 40.0*sqrt(specific_volume) elif style == 'stop check globe 1': return 70.0*beta2*sqrt(specific_volume) elif style == 'stop check angle 1': return 95.0*beta2*sqrt(specific_volume) elif style in ('stop check globe 2', 'stop check angle 2'): return 75.0*beta2*sqrt(specific_volume) elif style in ('stop check globe 3', 'stop check angle 3'): return 170.0*beta2*sqrt(specific_volume) elif style == 'foot valve poppet disc': return 20.0*sqrt(specific_volume) elif style == 'foot valve hinged disc': return 45.0*sqrt(specific_volume) CRANE_GATE_VALVE = 'CRANE_GATE_VALVE' CRANE_GLOBE_VALVE = 'CRANE_GLOBE_VALVE' CRANE_ANGLE_VALVE_0 = 'CRANE_ANGLE_VALVE_0' CRANE_ANGLE_VALVE_1 = 'CRANE_ANGLE_VALVE_1' CRANE_ANGLE_VALVE_2 = 'CRANE_ANGLE_VALVE_2' CRANE_SWING_CHECK_VALVE = 'CRANE_SWING_CHECK_VALVE' CRANE_SWING_CHECK_VALVE_ANGLED = 'CRANE_SWING_CHECK_VALVE_ANGLED' CRANE_LIFT_CHECK_VALVE = 'CRANE_LIFT_CHECK_VALVE' CRANE_LIFT_CHECK_VALVE_ANGLED = 'CRANE_LIFT_CHECK_VALVE_ANGLED' CRANE_TILTING_CHECK_VALVE_5DEG = 'CRANE_TILTING_CHECK_VALVE_5DEG' CRANE_TILTING_CHECK_VALVE_15DEG = 'CRANE_TILTING_CHECK_VALVE_15DEG' CRANE_GLOBE_STOP_CHECK_VALVE_0 = 'CRANE_GLOBE_STOP_CHECK_VALVE_0' CRANE_GLOBE_STOP_CHECK_VALVE_1 = 'CRANE_GLOBE_STOP_CHECK_VALVE_1' CRANE_GLOBE_STOP_CHECK_VALVE_2 = 'CRANE_GLOBE_STOP_CHECK_VALVE_2' CRANE_ANGLE_STOP_CHECK_VALVE_0 = 'CRANE_ANGLE_STOP_CHECK_VALVE_0' CRANE_ANGLE_STOP_CHECK_VALVE_1 = 'CRANE_ANGLE_STOP_CHECK_VALVE_1' CRANE_ANGLE_STOP_CHECK_VALVE_2 = 'CRANE_ANGLE_STOP_CHECK_VALVE_2' CRANE_BALL_VALVE = 'CRANE_BALL_VALVE' CRANE_DIAPHRAGM_VALVE_WEIR = 'CRANE_DIAPHRAGM_VALVE_WEIR' CRANE_DIAPHRAGM_VALVE_STAIGHT_THROUGH_WEIR = 'CRANE_DIAPHRAGM_VALVE_STAIGHT_THROUGH_WEIR' CRANE_FOOT_VALVE_POPPET_DISK = 'CRANE_FOOT_VALVE_POPPET_DISK' CRANE_FOOT_VALVE_HINGED_DISK = 'CRANE_FOOT_VALVE_HINGED_DISK' CRANE_BUTTERFLY_VALVE_CENTRIC = 'CRANE_BUTTERFLY_VALVE_CENTRIC' CRANE_BUTTERFLY_VALVE_DOUBLE_OFFSET = 'CRANE_BUTTERFLY_VALVE_DOUBLE_OFFSET' CRANE_BUTTERFLY_VALVE_TRIPLE_OFFSET = 'CRANE_BUTTERFLY_VALVE_TRIPLE_OFFSET' CRANE_PLUG_VALVE_STRAIGHT_THROUGH = 'CRANE_PLUG_VALVE_STRAIGHT_THROUGH' CRANE_PLUG_VALVE_3_WAY_STRAIGHT_THROUGH = 'CRANE_PLUG_VALVE_3_WAY_STRAIGHT_THROUGH' CRANE_PLUG_VALVE_3_WAY_90_DEG = 'CRANE_PLUG_VALVE_3_WAY_90_DEG' CRANE_VALVES = [CRANE_GATE_VALVE, CRANE_GLOBE_VALVE, CRANE_ANGLE_VALVE_0, CRANE_ANGLE_VALVE_1, CRANE_ANGLE_VALVE_2, CRANE_SWING_CHECK_VALVE, CRANE_SWING_CHECK_VALVE_ANGLED, CRANE_LIFT_CHECK_VALVE, CRANE_LIFT_CHECK_VALVE_ANGLED, CRANE_TILTING_CHECK_VALVE_5DEG, CRANE_TILTING_CHECK_VALVE_15DEG, CRANE_GLOBE_STOP_CHECK_VALVE_0, CRANE_GLOBE_STOP_CHECK_VALVE_1, CRANE_GLOBE_STOP_CHECK_VALVE_2, CRANE_ANGLE_STOP_CHECK_VALVE_0, CRANE_ANGLE_STOP_CHECK_VALVE_1, CRANE_ANGLE_STOP_CHECK_VALVE_2, CRANE_BALL_VALVE, CRANE_DIAPHRAGM_VALVE_WEIR, CRANE_DIAPHRAGM_VALVE_STAIGHT_THROUGH_WEIR, CRANE_FOOT_VALVE_POPPET_DISK, CRANE_FOOT_VALVE_HINGED_DISK, CRANE_BUTTERFLY_VALVE_CENTRIC, CRANE_BUTTERFLY_VALVE_DOUBLE_OFFSET, CRANE_BUTTERFLY_VALVE_TRIPLE_OFFSET, CRANE_PLUG_VALVE_STRAIGHT_THROUGH, CRANE_PLUG_VALVE_3_WAY_STRAIGHT_THROUGH, CRANE_PLUG_VALVE_3_WAY_90_DEG, ] def Crane_loss_coefficient(D1, D2, angle, fitting, fd=None): r'''Returns the loss coefficient for a particular Crane valve fitting. [1]_. This function is intended for internal use, to test all the correlations, at this point. Parameters ---------- D1 : float Diameter of the valve plug bore (must be equal to or smaller than `D2`), [m] D2 : float Diameter of the pipe attached to the valve, [m] angle : float Angle formed by the reducer in the valve, [degrees] fitting : str Text strings which represent a fitting, [-] fd : float, optional Darcy friction factor calculated for the actual pipe flow in clean steel (roughness = 0.0018 inch) in the fully developed turbulent region; do not specify this to use the original Crane friction factor!, [-] Returns ------- K : float Loss coefficient with respect to the pipe inside diameter [-] Notes ----- Examples -------- >>> Crane_loss_coefficient(D1=.01, D2=.02, fitting=CRANE_SWING_CHECK_VALVE_ANGLED, angle=50) 2.3974274785373257 References ---------- .. [1] Crane Co. Flow of Fluids Through Valves, Fittings, and Pipe. Crane, 2009. ''' if fitting == CRANE_GATE_VALVE: return K_gate_valve_Crane(D1, D2, angle, fd=fd) elif fitting == CRANE_GLOBE_VALVE: return K_globe_valve_Crane(D1, D2, fd) elif fitting == CRANE_ANGLE_VALVE_0: return K_angle_valve_Crane(D1, D2, fd, 0) elif fitting == CRANE_ANGLE_VALVE_1: return K_angle_valve_Crane(D1, D2, fd, 1) elif fitting == CRANE_ANGLE_VALVE_2: return K_angle_valve_Crane(D1, D2, fd, 2) elif fitting == CRANE_SWING_CHECK_VALVE: return K_swing_check_valve_Crane(D2, fd, False) elif fitting == CRANE_SWING_CHECK_VALVE_ANGLED: return K_swing_check_valve_Crane(D2, fd, True) elif fitting == CRANE_LIFT_CHECK_VALVE: return K_lift_check_valve_Crane(D1, D2, fd, False) elif fitting == CRANE_LIFT_CHECK_VALVE_ANGLED: return K_lift_check_valve_Crane(D1, D2, fd, True) elif fitting == CRANE_TILTING_CHECK_VALVE_5DEG: return K_tilting_disk_check_valve_Crane(D2, 5.0, fd) elif fitting == CRANE_TILTING_CHECK_VALVE_15DEG: return K_tilting_disk_check_valve_Crane(D2, 15.0, fd) elif fitting == CRANE_GLOBE_STOP_CHECK_VALVE_0: return K_globe_stop_check_valve_Crane(D1, D2, fd, 0) elif fitting == CRANE_GLOBE_STOP_CHECK_VALVE_1: return K_globe_stop_check_valve_Crane(D1, D2, fd, 1) elif fitting == CRANE_GLOBE_STOP_CHECK_VALVE_2: return K_globe_stop_check_valve_Crane(D1, D2, fd, 2) elif fitting == CRANE_ANGLE_STOP_CHECK_VALVE_0: return K_angle_stop_check_valve_Crane(D1, D2, fd, 0) elif fitting == CRANE_ANGLE_STOP_CHECK_VALVE_1: return K_angle_stop_check_valve_Crane(D1, D2, fd, 1) elif fitting == CRANE_ANGLE_STOP_CHECK_VALVE_2: return K_angle_stop_check_valve_Crane(D1, D2, fd, 2) elif fitting == CRANE_BALL_VALVE: return K_ball_valve_Crane(D1, D2, angle, fd) elif fitting == CRANE_DIAPHRAGM_VALVE_WEIR: return K_diaphragm_valve_Crane(D2, fd, 0) elif fitting == CRANE_DIAPHRAGM_VALVE_STAIGHT_THROUGH_WEIR: return K_diaphragm_valve_Crane(D2, fd, 1) elif fitting == CRANE_FOOT_VALVE_POPPET_DISK: return K_foot_valve_Crane(D2, fd, 0) elif fitting == CRANE_FOOT_VALVE_HINGED_DISK: return K_foot_valve_Crane(D2, fd, 1) elif fitting == CRANE_BUTTERFLY_VALVE_CENTRIC: return K_butterfly_valve_Crane(D2, fd, 0) elif fitting == CRANE_BUTTERFLY_VALVE_DOUBLE_OFFSET: return K_butterfly_valve_Crane(D2, fd, 1) elif fitting == CRANE_BUTTERFLY_VALVE_TRIPLE_OFFSET: return K_butterfly_valve_Crane(D2, fd, 2) elif fitting == CRANE_PLUG_VALVE_STRAIGHT_THROUGH: return K_plug_valve_Crane(D1, D2, angle, fd, 0) elif fitting == CRANE_PLUG_VALVE_3_WAY_STRAIGHT_THROUGH: return K_plug_valve_Crane(D1, D2, angle, fd, 1) elif fitting == CRANE_PLUG_VALVE_3_WAY_90_DEG: return K_plug_valve_Crane(D1, D2, angle, fd, 2) else: raise ValueError("Unrecognized fitting") branch_converging_Crane_Fs = [1.74, 1.41, 1.0, 0.0] branch_converging_Crane_angles = [30.0, 45.0, 60.0, 90.0] def K_branch_converging_Crane(D_run, D_branch, Q_run, Q_branch, angle=90.0): r'''Returns the loss coefficient for the branch of a converging tee or wye according to the Crane method [1]_. .. math:: K_{branch} = C\left[1 + D\left(\frac{Q_{branch}}{Q_{comb}\cdot \beta_{branch}^2}\right)^2 - E\left(1 - \frac{Q_{branch}}{Q_{comb}} \right)^2 - \frac{F}{\beta_{branch}^2} \left(\frac{Q_{branch}} {Q_{comb}}\right)^2\right] .. math:: \beta_{branch} = \frac{D_{branch}}{D_{comb}} = \frac{D_{branch}}{D_{run}} In the above equation, D = 1, E = 2. See the notes for definitions of F and C. The run and combined diameter are assumed the same in this model. Parameters ---------- D_run : float Diameter of the straight-through inlet portion of the tee or wye [m] D_branch : float Diameter of the pipe attached at an angle to the straight-through, [m] Q_run : float Volumetric flow rate in the straight-through inlet of the tee or wye, [m^3/s] Q_branch : float Volumetric flow rate in the pipe attached at an angle to the straight- through, [m^3/s] angle : float, optional Angle the branch makes with the straight-through (tee=90, wye<90) [degrees] Returns ------- K : float Loss coefficient of branch with respect to the velocity and inside diameter of the combined flow outlet [-] Notes ----- F is linearly interpolated from the table of angles below. There is no cutoff to prevent angles from being larger or smaller than 30 or 90 degrees. +-----------+------+ | Angle [°] | | +===========+======+ | 30 | 1.74 | +-----------+------+ | 45 | 1.41 | +-----------+------+ | 60 | 1 | +-----------+------+ | 90 | 0 | +-----------+------+ If :math:`\beta_{branch}^2 \le 0.35`, C = 1 If :math:`\beta_{branch}^2 > 0.35` and :math:`Q_{branch}/Q_{comb} > 0.4`, C = 0.55. If neither of the above conditions are met: .. math:: C = 0.9\left(1 - \frac{Q_{branch}}{Q_{comb}}\right) Note that there is an error in the text of [1]_; the errata can be obtained here: http://www.flowoffluids.com/publications/tp-410-errata.aspx Examples -------- Example 7-35 of [1]_. A DN100 schedule 40 tee has 1135 liters/minute of water passing through the straight leg, and 380 liters/minute of water converging with it through a 90° branch. Calculate the loss coefficient in the branch. The calculated value there is -0.04026. >>> K_branch_converging_Crane(0.1023, 0.1023, 0.018917, 0.00633) -0.0404410851362 References ---------- .. [1] Crane Co. Flow of Fluids Through Valves, Fittings, and Pipe. Crane, 2009. ''' beta = (D_branch/D_run) beta2 = beta*beta Q_comb = Q_run + Q_branch Q_ratio = Q_branch/Q_comb if beta2 <= 0.35: C = 1. elif Q_ratio <= 0.4: C = 0.9*(1 - Q_ratio) else: C = 0.55 D, E = 1., 2. F = interp(angle, branch_converging_Crane_angles, branch_converging_Crane_Fs) K = C*(1. + D*(Q_ratio/beta2)**2 - E*(1. - Q_ratio)**2 - F/beta2*Q_ratio**2) return K run_converging_Crane_Fs = [1.74, 1.41, 1.0] run_converging_Crane_angles = [30.0, 45.0, 60.0] def K_run_converging_Crane(D_run, D_branch, Q_run, Q_branch, angle=90): r'''Returns the loss coefficient for the run of a converging tee or wye according to the Crane method [1]_. .. math:: K_{branch} = C\left[1 + D\left(\frac{Q_{branch}}{Q_{comb}\cdot \beta_{branch}^2}\right)^2 - E\left(1 - \frac{Q_{branch}}{Q_{comb}} \right)^2 - \frac{F}{\beta_{branch}^2} \left(\frac{Q_{branch}} {Q_{comb}}\right)^2\right] .. math:: \beta_{branch} = \frac{D_{branch}}{D_{comb}} = \frac{D_{branch}}{D_{run}} In the above equation, C=1, D=0, E=1. See the notes for definitions of F and also the special case of 90°. The run and combined diameter are assumed the same in this model. Parameters ---------- D_run : float Diameter of the straight-through inlet portion of the tee or wye [m] D_branch : float Diameter of the pipe attached at an angle to the straight-through, [m] Q_run : float Volumetric flow rate in the straight-through inlet of the tee or wye, [m^3/s] Q_branch : float Volumetric flow rate in the pipe attached at an angle to the straight- through, [m^3/s] angle : float, optional Angle the branch makes with the straight-through (tee=90, wye<90) [degrees] Returns ------- K : float Loss coefficient of run with respect to the velocity and inside diameter of the combined flow outlet [-] Notes ----- F is linearly interpolated from the table of angles below. There is no cutoff to prevent angles from being larger or smaller than 30 or 60 degrees. The switch to the special 90° happens at 75°. +-----------+------+ | Angle [°] | | +===========+======+ | 30 | 1.74 | +-----------+------+ | 45 | 1.41 | +-----------+------+ | 60 | 1 | +-----------+------+ For the special case of 90°, the formula used is as follows. .. math:: K_{run} = 1.55\left(\frac{Q_{branch}}{Q_{comb}} \right) - \left(\frac{Q_{branch}}{Q_{comb}}\right)^2 Examples -------- Example 7-35 of [1]_. A DN100 schedule 40 tee has 1135 liters/minute of water passing through the straight leg, and 380 liters/minute of water converging with it through a 90° branch. Calculate the loss coefficient in the run. The calculated value there is 0.03258. >>> K_run_converging_Crane(0.1023, 0.1023, 0.018917, 0.00633) 0.32575847854551254 References ---------- .. [1] Crane Co. Flow of Fluids Through Valves, Fittings, and Pipe. Crane, 2009. ''' beta = (D_branch/D_run) beta2 = beta*beta Q_comb = Q_run + Q_branch Q_ratio = Q_branch/Q_comb if angle < 75.0: C = 1.0 else: return 1.55*(Q_ratio) - Q_ratio*Q_ratio D, E = 0.0, 1.0 F = interp(angle, run_converging_Crane_angles, run_converging_Crane_Fs) K = C*(1. + D*(Q_ratio/beta2)**2 - E*(1. - Q_ratio)**2 - F/beta2*Q_ratio**2) return K def K_branch_diverging_Crane(D_run, D_branch, Q_run, Q_branch, angle=90): r'''Returns the loss coefficient for the branch of a diverging tee or wye according to the Crane method [1]_. .. math:: K_{branch} = G\left[1 + H\left(\frac{Q_{branch}}{Q_{comb} \beta_{branch}^2}\right)^2 - J\left(\frac{Q_{branch}}{Q_{comb} \beta_{branch}^2}\right)\cos\theta\right] .. math:: \beta_{branch} = \frac{D_{branch}}{D_{comb}} = \frac{D_{branch}}{D_{run}} See the notes for definitions of H, J, and G. The run and combined diameter are assumed the same in this model. Parameters ---------- D_run : float Diameter of the straight-through inlet portion of the tee or wye [m] D_branch : float Diameter of the pipe attached at an angle to the straight-through, [m] Q_run : float Volumetric flow rate in the straight-through outlet of the tee or wye, [m^3/s] Q_branch : float Volumetric flow rate in the pipe attached at an angle to the straight- through, [m^3/s] angle : float, optional Angle the branch makes with the straight-through (tee=90, wye<90) [degrees] Returns ------- K : float Loss coefficient of branch with respect to the velocity and inside diameter of the combined flow inlet [-] Notes ----- If :math:`\beta_{branch} = 1, \theta = 90^\circ`, H = 0.3 and J = 0. Otherwise H = 1 and J = 2. G is determined according to the following pseudocode: .. code-block:: python if angle < 75: if beta2 <= 0.35: if Q_ratio <= 0.4: G = 1.1 - 0.7*Q_ratio else: G = 0.85 else: if Q_ratio <= 0.6: G = 1.0 - 0.6*Q_ratio else: G = 0.6 else: if beta2 <= 2/3.: G = 1 else: G = 1 + 0.3*Q_ratio*Q_ratio Note that there are several errors in the text of [1]_; the errata can be obtained here: http://www.flowoffluids.com/publications/tp-410-errata.aspx Examples -------- Example 7-36 of [1]_. A DN150 schedule 80 wye has 1515 liters/minute of water exiting the straight leg, and 950 liters/minute of water exiting it through a 45° branch. Calculate the loss coefficient in the branch. The calculated value there is 0.4640. >>> K_branch_diverging_Crane(0.146, 0.146, 0.02525, 0.01583, angle=45) 0.4639895627496694 References ---------- .. [1] Crane Co. Flow of Fluids Through Valves, Fittings, and Pipe. Crane, 2009. ''' beta = (D_branch/D_run) beta2 = beta*beta Q_comb = Q_run + Q_branch Q_ratio = Q_branch/Q_comb if angle < 60 or beta <= 2/3.: H, J = 1., 2. else: H, J = 0.3, 0 if angle < 75: if beta2 <= 0.35: if Q_ratio <= 0.4: G = 1.1 - 0.7*Q_ratio else: G = 0.85 else: if Q_ratio <= 0.6: G = 1.0 - 0.6*Q_ratio else: G = 0.6 else: if beta2 <= 2/3.: G = 1 else: G = 1 + 0.3*Q_ratio*Q_ratio angle_rad = radians(angle) K_branch = G*(1 + H*(Q_ratio/beta2)**2 - J*(Q_ratio/beta2)*cos(angle_rad)) return K_branch def K_run_diverging_Crane(D_run, D_branch, Q_run, Q_branch, angle=90): r'''Returns the loss coefficient for the run of a converging tee or wye according to the Crane method [1]_. .. math:: K_{run} = M \left(\frac{Q_{branch}}{Q_{comb}}\right)^2 .. math:: \beta_{branch} = \frac{D_{branch}}{D_{comb}} = \frac{D_{branch}}{D_{run}} See the notes for the definition of M. The run and combined diameter are assumed the same in this model. Parameters ---------- D_run : float Diameter of the straight-through inlet portion of the tee or wye [m] D_branch : float Diameter of the pipe attached at an angle to the straight-through, [m] Q_run : float Volumetric flow rate in the straight-through outlet of the tee or wye, [m^3/s] Q_branch : float Volumetric flow rate in the pipe attached at an angle to the straight- through, [m^3/s] angle : float, optional Angle the branch makes with the straight-through (tee=90, wye<90) [degrees] Returns ------- K : float Loss coefficient of run with respect to the velocity and inside diameter of the combined flow inlet [-] Notes ----- M is calculated according to the following pseudocode: .. code-block:: python if beta*beta <= 0.4: M = 0.4 elif Q_branch/Q_comb <= 0.5: M = 2*(2*Q_branch/Q_comb - 1) else: M = 0.3*(2*Q_branch/Q_comb - 1) Examples -------- Example 7-36 of [1]_. A DN150 schedule 80 wye has 1515 liters/minute of water exiting the straight leg, and 950 liters/minute of water exiting it through a 45° branch. Calculate the loss coefficient in the branch. The calculated value there is -0.06809. >>> K_run_diverging_Crane(0.146, 0.146, 0.02525, 0.01583, angle=45) -0.06810067607153049 References ---------- .. [1] Crane Co. Flow of Fluids Through Valves, Fittings, and Pipe. Crane, 2009. ''' beta = (D_branch/D_run) beta2 = beta*beta Q_comb = Q_run + Q_branch Q_ratio = Q_branch/Q_comb if beta2 <= 0.4: M = 0.4 elif Q_ratio <= 0.5: M = 2.*(2.*Q_ratio - 1.) else: M = 0.3*(2.*Q_ratio - 1.) return M*Q_ratio*Q_ratio fluids-1.0.22/fluids/filters.pyi0000644000175000017500000000132514302004506016064 0ustar nileshnilesh# DO NOT EDIT - AUTOMATICALLY GENERATED BY tests/make_test_stubs.py! from __future__ import annotations from typing import List from typing import ( Optional, Union, ) def round_edge_grill( alpha: float, l: Optional[float] = ..., Dh: Optional[float] = ..., fd: Optional[float] = ... ) -> float: ... def round_edge_open_mesh(alpha: float, subtype: str = ..., angle: float = ...) -> float: ... def round_edge_screen(alpha: float, Re: float, angle: float = ...) -> float: ... def square_edge_grill( alpha: float, l: Optional[float] = ..., Dh: Optional[float] = ..., fd: Optional[float] = ... ) -> float: ... def square_edge_screen(alpha: float) -> float: ... __all__: List[str]fluids-1.0.22/fluids/compressible.py0000644000175000017500000022507714302004506016746 0ustar nileshnilesh# -*- coding: utf-8 -*- """Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2016, 2017, 2018, 2019, 2020 Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. This module contains equations for modeling flow where density changes significantly during the process - compressible flow. Also included are equations for choked flow - the phenomenon where the velocity of a fluid reaches its speed of sound. For reporting bugs, adding feature requests, or submitting pull requests, please use the `GitHub issue tracker `_ or contact the author at Caleb.Andrew.Bell@gmail.com. .. contents:: :local: Compression Processes --------------------- .. autofunction:: isothermal_work_compression .. autofunction:: isentropic_work_compression .. autofunction:: isentropic_T_rise_compression .. autofunction:: isentropic_efficiency .. autofunction:: polytropic_exponent Compressible Flow ----------------- .. autofunction:: isothermal_gas Empirical Compressible Flow --------------------------- .. autofunction:: Panhandle_A .. autofunction:: Panhandle_B .. autofunction:: Weymouth .. autofunction:: Spitzglass_high .. autofunction:: Spitzglass_low .. autofunction:: Oliphant .. autofunction:: Fritzsche .. autofunction:: Muller .. autofunction:: IGT Critical Flow ------------- .. autofunction:: T_critical_flow .. autofunction:: P_critical_flow .. autofunction:: is_critical_flow .. autofunction:: P_isothermal_critical_flow .. autofunction:: P_upstream_isothermal_critical_flow Stagnation Point ---------------- .. autofunction:: stagnation_energy .. autofunction:: P_stagnation .. autofunction:: T_stagnation .. autofunction:: T_stagnation_ideal """ from __future__ import division from math import sqrt, log, pi, exp, isinf from fluids.constants import R from fluids.numerics import secant, newton, ridder, lambertw __all__ = ['Panhandle_A', 'Panhandle_B', 'Weymouth', 'Spitzglass_high', 'Spitzglass_low', 'Oliphant', 'Fritzsche', 'Muller', 'IGT', 'isothermal_gas', 'isothermal_work_compression', 'polytropic_exponent', 'isentropic_work_compression', 'isentropic_efficiency', 'isentropic_T_rise_compression', 'T_critical_flow', 'P_critical_flow', 'P_isothermal_critical_flow', 'is_critical_flow', 'stagnation_energy', 'P_stagnation', 'T_stagnation', 'T_stagnation_ideal'] def isothermal_work_compression(P1, P2, T, Z=1.0): r'''Calculates the work of compression or expansion of a gas going through an isothermal process. .. math:: W = zRT\ln\left(\frac{P_2}{P_1}\right) Parameters ---------- P1 : float Inlet pressure, [Pa] P2 : float Outlet pressure, [Pa] T : float Temperature of the gas going through an isothermal process, [K] Z : float Constant compressibility factor of the gas, [-] Returns ------- W : float Work performed per mole of gas compressed/expanded [J/mol] Notes ----- The full derivation with all forms is as follows: .. math:: W = \int_{P_1}^{P_2} V dP = zRT\int_{P_1}^{P_2} \frac{1}{P} dP .. math:: W = zRT\ln\left(\frac{P_2}{P_1}\right) = P_1 V_1 \ln\left(\frac{P_2} {P_1}\right) = P_2 V_2 \ln\left(\frac{P_2}{P_1}\right) The substitutions are according to the ideal gas law with compressibility: .. math: PV = ZRT The work of compression/expansion is the change in enthalpy of the gas. Returns negative values for expansion and positive values for compression. An average compressibility factor can be used where Z changes. For further accuracy, this expression can be used repeatedly with small changes in pressure and the work from each step summed. This is the best possible case for compression; all actual compresssors require more work to do the compression. By making the compression take a large number of stages and cooling the gas between stages, this can be approached reasonable closely. Integrally geared compressors are often used for this purpose. Examples -------- >>> isothermal_work_compression(1E5, 1E6, 300) 5743.427304244769 References ---------- .. [1] Couper, James R., W. Roy Penney, and James R. Fair. Chemical Process Equipment: Selection and Design. 2nd ed. Amsterdam ; Boston: Gulf Professional Publishing, 2009. ''' return Z*R*T*log(P2/P1) def isentropic_work_compression(T1, k, Z=1.0, P1=None, P2=None, W=None, eta=None): r'''Calculation function for dealing with compressing or expanding a gas going through an isentropic, adiabatic process assuming constant Cp and Cv. The polytropic model is the same equation; just provide `n` instead of `k` and use a polytropic efficiency for `eta` instead of a isentropic efficiency. Can calculate any of the following, given all the other inputs: * W, Work of compression * P2, Pressure after compression * P1, Pressure before compression * eta, isentropic efficiency of compression .. math:: W = \left(\frac{k}{k-1}\right)ZRT_1\left[\left(\frac{P_2}{P_1} \right)^{(k-1)/k}-1\right]/\eta_{isentropic} Parameters ---------- T1 : float Initial temperature of the gas, [K] k : float Isentropic exponent of the gas (Cp/Cv) or polytropic exponent `n` to use this as a polytropic model instead [-] Z : float, optional Constant compressibility factor of the gas, [-] P1 : float, optional Inlet pressure, [Pa] P2 : float, optional Outlet pressure, [Pa] W : float, optional Work performed per mole of gas compressed/expanded [J/mol] eta : float, optional Isentropic efficiency of the process or polytropic efficiency of the process to use this as a polytropic model instead [-] Returns ------- W, P1, P2, or eta : float The missing input which was solved for [base SI] Notes ----- For the same compression ratio, this is always of larger magnitude than the isothermal case. The full derivation is as follows: For constant-heat capacity "isentropic" fluid, .. math:: V = \frac{P_1^{1/k}V_1}{P^{1/k}} .. math:: W = \int_{P_1}^{P_2} V dP = \int_{P_1}^{P_2}\frac{P_1^{1/k}V_1} {P^{1/k}}dP .. math:: W = \frac{P_1^{1/k} V_1}{1 - \frac{1}{k}}\left[P_2^{1-1/k} - P_1^{1-1/k}\right] After performing the integration and substantial mathematical manipulation we can obtain: .. math:: W = \left(\frac{k}{k-1}\right) P_1 V_1 \left[\left(\frac{P_2}{P_1} \right)^{(k-1)/k}-1\right] Using PV = ZRT: .. math:: W = \left(\frac{k}{k-1}\right)ZRT_1\left[\left(\frac{P_2}{P_1} \right)^{(k-1)/k}-1\right] The work of compression/expansion is the change in enthalpy of the gas. Returns negative values for expansion and positive values for compression. An average compressibility factor should be used as Z changes. For further accuracy, this expression can be used repeatedly with small changes in pressure and new values of isentropic exponent, and the work from each step summed. For the polytropic case this is not necessary, as `eta` corrects for the simplification. Examples -------- >>> isentropic_work_compression(P1=1E5, P2=1E6, T1=300, k=1.4, eta=0.78) 10416.876986384483 References ---------- .. [1] Couper, James R., W. Roy Penney, and James R. Fair. Chemical Process Equipment: Selection and Design. 2nd ed. Amsterdam ; Boston: Gulf Professional Publishing, 2009. ''' if W is None and eta is not None and P1 is not None and P2 is not None: return k/(k - 1.0)*Z*R*T1*((P2/P1)**((k-1.)/k) - 1.0)/eta elif P1 is None and eta is not None and W is not None and P2 is not None: return P2*(1.0 + W*eta/(R*T1*Z) - W*eta/(R*T1*Z*k))**(-k/(k - 1.0)) elif P2 is None and eta is not None and W is not None and P1 is not None: return P1*(1.0 + W*eta/(R*T1*Z) - W*eta/(R*T1*Z*k))**(k/(k - 1.0)) elif eta is None and P1 is not None and P2 is not None and W is not None: return R*T1*Z*k*((P2/P1)**((k - 1.0)/k) - 1.0)/(W*(k - 1.0)) else: raise ValueError('Three of W, P1, P2, and eta must be specified.') def isentropic_T_rise_compression(T1, P1, P2, k, eta=1): r'''Calculates the increase in temperature of a fluid which is compressed or expanded under isentropic, adiabatic conditions assuming constant Cp and Cv. The polytropic model is the same equation; just provide `n` instead of `k` and use a polytropic efficienty for `eta` instead of a isentropic efficiency. .. math:: T_2 = T_1 + \frac{\Delta T_s}{\eta_s} = T_1 \left\{1 + \frac{1} {\eta_s}\left[\left(\frac{P_2}{P_1}\right)^{(k-1)/k}-1\right]\right\} Parameters ---------- T1 : float Initial temperature of gas [K] P1 : float Initial pressure of gas [Pa] P2 : float Final pressure of gas [Pa] k : float Isentropic exponent of the gas (Cp/Cv) or polytropic exponent `n` to use this as a polytropic model instead [-] eta : float Isentropic efficiency of the process or polytropic efficiency of the process to use this as a polytropic model instead [-] Returns ------- T2 : float Final temperature of gas [K] Notes ----- For the ideal case of `eta` = 1, the model simplifies to: .. math:: \frac{T_2}{T_1} = \left(\frac{P_2}{P_1}\right)^{(k-1)/k} Examples -------- >>> isentropic_T_rise_compression(286.8, 54050, 432400, 1.4) 519.5230938217768 References ---------- .. [1] Couper, James R., W. Roy Penney, and James R. Fair. Chemical Process Equipment: Selection and Design. 2nd ed. Amsterdam ; Boston: Gulf Professional Publishing, 2009. .. [2] GPSA. GPSA Engineering Data Book. 13th edition. Gas Processors Suppliers Association, Tulsa, OK, 2012. ''' dT = T1*((P2/P1)**((k - 1.0)/k) - 1.0)/eta return T1 + dT def isentropic_efficiency(P1, P2, k, eta_s=None, eta_p=None): r'''Calculates either isentropic or polytropic efficiency from the other type of efficiency. .. math:: \eta_s = \frac{(P_2/P_1)^{(k-1)/k}-1} {(P_2/P_1)^{\frac{k-1}{k\eta_p}}-1} .. math:: \eta_p = \frac{\left(k - 1\right) \ln{\left (\frac{P_{2}}{P_{1}} \right )}}{k \ln{\left (\frac{1}{\eta_{s}} \left(\eta_{s} + \left(\frac{P_{2}}{P_{1}}\right)^{\frac{1}{k} \left(k - 1\right)} - 1\right) \right )}} Parameters ---------- P1 : float Initial pressure of gas [Pa] P2 : float Final pressure of gas [Pa] k : float Isentropic exponent of the gas (Cp/Cv) [-] eta_s : float, optional Isentropic (adiabatic) efficiency of the process, [-] eta_p : float, optional Polytropic efficiency of the process, [-] Returns ------- eta_s or eta_p : float Isentropic or polytropic efficiency, depending on input, [-] Notes ----- The form for obtained `eta_p` from `eta_s` was derived with SymPy. Examples -------- >>> isentropic_efficiency(1E5, 1E6, 1.4, eta_p=0.78) 0.7027614191263858 References ---------- .. [1] Couper, James R., W. Roy Penney, and James R. Fair. Chemical Process Equipment: Selection and Design. 2nd ed. Amsterdam ; Boston: Gulf Professional Publishing, 2009. ''' if eta_s is None and eta_p is not None: return ((P2/P1)**((k-1.0)/k)-1.0)/((P2/P1)**((k-1.0)/(k*eta_p))-1.0) elif eta_p is None and eta_s is not None: return (k - 1.0)*log(P2/P1)/(k*log( (eta_s + (P2/P1)**((k - 1.0)/k) - 1.0)/eta_s)) else: raise ValueError('Either eta_s or eta_p is required') def polytropic_exponent(k, n=None, eta_p=None): r'''Calculates one of: * Polytropic exponent from polytropic efficiency * Polytropic efficiency from the polytropic exponent .. math:: n = \frac{k\eta_p}{1 - k(1-\eta_p)} .. math:: \eta_p = \frac{\left(\frac{n}{n-1}\right)}{\left(\frac{k}{k-1} \right)} = \frac{n(k-1)}{k(n-1)} Parameters ---------- k : float Isentropic exponent of the gas (Cp/Cv) [-] n : float, optional Polytropic exponent of the process [-] eta_p : float, optional Polytropic efficiency of the process, [-] Returns ------- n or eta_p : float Polytropic exponent or polytropic efficiency, depending on input, [-] Notes ----- Examples -------- >>> polytropic_exponent(1.4, eta_p=0.78) 1.5780346820809246 References ---------- .. [1] Couper, James R., W. Roy Penney, and James R. Fair. Chemical Process Equipment: Selection and Design. 2nd ed. Amsterdam ; Boston: Gulf Professional Publishing, 2009. ''' if n is None and eta_p is not None: return k*eta_p/(1.0 - k*(1.0 - eta_p)) elif eta_p is None and n is not None: return n*(k - 1.0)/(k*(n - 1.0)) else: raise ValueError('Either n or eta_p is required') def T_critical_flow(T, k): r'''Calculates critical flow temperature `Tcf` for a fluid with the given isentropic coefficient. `Tcf` is in a flow (with Ma=1) whose stagnation conditions are known. Normally used with converging/diverging nozzles. .. math:: \frac{T^*}{T_0} = \frac{2}{k+1} Parameters ---------- T : float Stagnation temperature of a fluid with Ma=1 [K] k : float Isentropic coefficient [] Returns ------- Tcf : float Critical flow temperature at Ma=1 [K] Notes ----- Assumes isentropic flow. Examples -------- Example 12.4 in [1]_: >>> T_critical_flow(473, 1.289) 413.2809086937528 References ---------- .. [1] Cengel, Yunus, and John Cimbala. Fluid Mechanics: Fundamentals and Applications. Boston: McGraw Hill Higher Education, 2006. ''' return T*2.0/(k + 1.0) def P_critical_flow(P, k): r'''Calculates critical flow pressure `Pcf` for a fluid with the given isentropic coefficient. `Pcf` is in a flow (with Ma=1) whose stagnation conditions are known. Normally used with converging/diverging nozzles. .. math:: \frac{P^*}{P_0} = \left(\frac{2}{k+1}\right)^{k/(k-1)} Parameters ---------- P : float Stagnation pressure of a fluid with Ma=1 [Pa] k : float Isentropic coefficient [] Returns ------- Pcf : float Critical flow pressure at Ma=1 [Pa] Notes ----- Assumes isentropic flow. Examples -------- Example 12.4 in [1]_: >>> P_critical_flow(1400000, 1.289) 766812.9022792266 References ---------- .. [1] Cengel, Yunus, and John Cimbala. Fluid Mechanics: Fundamentals and Applications. Boston: McGraw Hill Higher Education, 2006. ''' return P*(2.0/(k + 1.))**(k/(k - 1.0)) def P_isothermal_critical_flow(P, fd, D, L): r'''Calculates critical flow pressure `Pcf` for a fluid flowing isothermally and suffering pressure drop caused by a pipe's friction factor. .. math:: P_2 = P_{1} e^{\frac{1}{2 D} \left(D \left(\operatorname{LambertW} {\left (- e^{\frac{1}{D} \left(- D - L f_d\right)} \right )} + 1\right) + L f_d\right)} Parameters ---------- P : float Inlet pressure [Pa] fd : float Darcy friction factor for flow in pipe [-] D : float Diameter of pipe, [m] L : float Length of pipe, [m] Returns ------- Pcf : float Critical flow pressure of a compressible gas flowing from `P1` to `Pcf` in a tube of length L and friction factor `fd` [Pa] Notes ----- Assumes isothermal flow. Developed based on the `isothermal_gas` model, using SymPy. The isothermal gas model is solved for maximum mass flow rate; any pressure drop under it is impossible due to the formation of a shock wave. Examples -------- >>> P_isothermal_critical_flow(P=1E6, fd=0.00185, L=1000., D=0.5) 389699.73176 References ---------- .. [1] Wilkes, James O. Fluid Mechanics for Chemical Engineers with Microfluidics and CFD. 2 edition. Upper Saddle River, NJ: Prentice Hall, 2005. ''' # Correct branch of lambertw found by trial and error lambert_term = float((lambertw(-exp((-D - L*fd)/D), -1)).real) return P*exp((D*(lambert_term + 1.0) + L*fd)/(2.0*D)) def P_upstream_isothermal_critical_flow(P, fd, D, L): """Not part of the public API. Reverses `P_isothermal_critical_flow`. Examples -------- >>> P_upstream_isothermal_critical_flow(P=389699.7317645518, fd=0.00185, ... L=1000., D=0.5) 1000000.00000 """ lambertw_term = float(lambertw(-exp(-(fd*L+D)/D), -1).real) return exp(-0.5*(D*lambertw_term+fd*L+D)/D)*P def is_critical_flow(P1, P2, k): r'''Determines if a flow of a fluid driven by pressure gradient P1 - P2 is critical, for a fluid with the given isentropic coefficient. This function calculates critical flow pressure, and checks if this is larger than P2. If so, the flow is critical and choked. Parameters ---------- P1 : float Higher, source pressure [Pa] P2 : float Lower, downstream pressure [Pa] k : float Isentropic coefficient [] Returns ------- flowtype : bool True if the flow is choked; otherwise False Notes ----- Assumes isentropic flow. Uses P_critical_flow function. Examples -------- Examples 1-2 from API 520. >>> is_critical_flow(670E3, 532E3, 1.11) False >>> is_critical_flow(670E3, 101E3, 1.11) True References ---------- .. [1] API. 2014. API 520 - Part 1 Sizing, Selection, and Installation of Pressure-relieving Devices, Part I - Sizing and Selection, 9E. ''' Pcf = P_critical_flow(P1, k) return Pcf > P2 def stagnation_energy(V): r'''Calculates the increase in enthalpy `dH` which is provided by a fluid's velocity `V`. .. math:: \Delta H = \frac{V^2}{2} Parameters ---------- V : float Velocity [m/s] Returns ------- dH : float Incease in enthalpy [J/kg] Notes ----- The units work out. This term is pretty small, but not trivial. Examples -------- >>> stagnation_energy(125) 7812.5 References ---------- .. [1] Cengel, Yunus, and John Cimbala. Fluid Mechanics: Fundamentals and Applications. Boston: McGraw Hill Higher Education, 2006. ''' return 0.5*V*V def P_stagnation(P, T, Tst, k): r'''Calculates stagnation flow pressure `Pst` for a fluid with the given isentropic coefficient and specified stagnation temperature and normal temperature. Normally used with converging/diverging nozzles. .. math:: \frac{P_0}{P}=\left(\frac{T_0}{T}\right)^{\frac{k}{k-1}} Parameters ---------- P : float Normal pressure of a fluid [Pa] T : float Normal temperature of a fluid [K] Tst : float Stagnation temperature of a fluid moving at a certain velocity [K] k : float Isentropic coefficient [] Returns ------- Pst : float Stagnation pressure of a fluid moving at a certain velocity [Pa] Notes ----- Assumes isentropic flow. Examples -------- Example 12-1 in [1]_. >>> P_stagnation(54050., 255.7, 286.8, 1.4) 80772.80495900588 References ---------- .. [1] Cengel, Yunus, and John Cimbala. Fluid Mechanics: Fundamentals and Applications. Boston: McGraw Hill Higher Education, 2006. ''' return P*(Tst/T)**(k/(k - 1.0)) def T_stagnation(T, P, Pst, k): r'''Calculates stagnation flow temperature `Tst` for a fluid with the given isentropic coefficient and specified stagnation pressure and normal pressure. Normally used with converging/diverging nozzles. .. math:: T=T_0\left(\frac{P}{P_0}\right)^{\frac{k-1}{k}} Parameters ---------- T : float Normal temperature of a fluid [K] P : float Normal pressure of a fluid [Pa] Pst : float Stagnation pressure of a fluid moving at a certain velocity [Pa] k : float Isentropic coefficient [] Returns ------- Tst : float Stagnation temperature of a fluid moving at a certain velocity [K] Notes ----- Assumes isentropic flow. Examples -------- Example 12-1 in [1]_. >>> T_stagnation(286.8, 54050, 54050*8, 1.4) 519.5230938217768 References ---------- .. [1] Cengel, Yunus, and John Cimbala. Fluid Mechanics: Fundamentals and Applications. Boston: McGraw Hill Higher Education, 2006. ''' return T*(Pst/P)**((k - 1.0)/k) def T_stagnation_ideal(T, V, Cp): r'''Calculates the ideal stagnation temperature `Tst` calculated assuming the fluid has a constant heat capacity `Cp` and with a specified velocity `V` and temperature `T`. .. math:: T^* = T + \frac{V^2}{2C_p} Parameters ---------- T : float Tempearture [K] V : float Velocity [m/s] Cp : float Ideal heat capacity [J/kg/K] Returns ------- Tst : float Stagnation temperature [J/kg] Examples -------- Example 12-1 in [1]_. >>> T_stagnation_ideal(255.7, 250, 1005.) 286.79452736318405 References ---------- .. [1] Cengel, Yunus, and John Cimbala. Fluid Mechanics: Fundamentals and Applications. Boston: McGraw Hill Higher Education, 2006. ''' return T + 0.5*V*V/Cp def isothermal_gas_err_P1(P1, fd, rho, P2, L, D, m): return m - isothermal_gas(rho, fd, P1=P1, P2=P2, L=L, D=D) def isothermal_gas_err_P2(P2, rho, fd, P1, L, D, m): return m - isothermal_gas(rho, fd, P1=P1, P2=P2, L=L, D=D) def isothermal_gas_err_P2_basis(P1, P2, rho, fd, m, L, D): return abs(P2 - isothermal_gas(rho, fd, m=m, P1=P1, P2=None, L=L, D=D)) def isothermal_gas_err_D(D, m, rho, fd, P1, P2, L): return m - isothermal_gas(rho, fd, P1=P1, P2=P2, L=L, D=D) def isothermal_gas(rho, fd, P1=None, P2=None, L=None, D=None, m=None): r'''Calculation function for dealing with flow of a compressible gas in a pipeline for the complete isothermal flow equation. Can calculate any of the following, given all other inputs: * Mass flow rate * Upstream pressure (numerical) * Downstream pressure (analytical or numerical if an overflow occurs) * Diameter of pipe (numerical) * Length of pipe A variety of forms of this equation have been presented, differing in their use of the ideal gas law and choice of gas constant. The form here uses density explicitly, allowing for non-ideal values to be used. .. math:: \dot m^2 = \frac{\left(\frac{\pi D^2}{4}\right)^2 \rho_{avg} \left(P_1^2-P_2^2\right)}{P_1\left(f_d\frac{L}{D} + 2\ln\frac{P_1}{P_2} \right)} Parameters ---------- rho : float Average density of gas in pipe, [kg/m^3] fd : float Darcy friction factor for flow in pipe [-] P1 : float, optional Inlet pressure to pipe, [Pa] P2 : float, optional Outlet pressure from pipe, [Pa] L : float, optional Length of pipe, [m] D : float, optional Diameter of pipe, [m] m : float, optional Mass flow rate of gas through pipe, [kg/s] Returns ------- m, P1, P2, D, or L : float The missing input which was solved for [base SI] Notes ----- The solution for P2 has the following closed form, derived using Maple: .. math:: P_2={P_1 \left( {{ e}^{0.5\cdot{\frac {1}{{m}^{2}} \left( -C{m}^{2} +\text{ lambertW} \left(-{\frac {BP_1}{{m}^{2}}{{ e}^{-{\frac {-C{m}^{ 2}+BP_1}{{m}^{2}}}}}}\right){}{m}^{2}+BP_1 \right) }}} \right) ^{-1}} .. math:: B = \frac{\pi^2 D^4}{4^2} \rho_{avg} .. math:: C = f_d \frac{L}{D} A wide range of conditions are impossible due to choked flow. See `P_isothermal_critical_flow` for details. An exception is raised when they occur. The 2 multiplied by the logarithm is often shown as a power of the pressure ratio; this is only the case when the pressure ratio is raised to the power of 2 before its logarithm is taken. A number of limitations exist for this model: * Density dependence is that of an ideal gas. * If calculating the pressure drop, the average gas density cannot be known immediately; iteration must be used to correct this. * The friction factor depends on both the gas density and velocity, so it should be solved for iteratively as well. It changes throughout the pipe as the gas expands and velocity increases. * The model is not easily adapted to include elevation effects due to the acceleration term included in it. * As the gas expands, it will change temperature slightly, further altering the density and friction factor. There are many commercial packages which perform the actual direct integration of the flow, such as OLGA Dynamic Multiphase Flow Simulator, or ASPEN Hydraulics. This expression has also been presented with the ideal gas assumption directly incorporated into it [4]_ (note R is the specific gas constant, in units of J/kg/K): .. math:: \dot m^2 = \frac{\left(\frac{\pi D^2}{4}\right)^2 \left(P_1^2-P_2^2\right)}{RT\left(f_d\frac{L}{D} + 2\ln\frac{P_1}{P_2} \right)} Examples -------- >>> isothermal_gas(rho=11.3, fd=0.00185, P1=1E6, P2=9E5, L=1000, D=0.5) 145.4847572636031 References ---------- .. [1] Crane Co. Flow of Fluids Through Valves, Fittings, and Pipe. Crane, 2009. .. [2] Kim, J. and Singh, N. "A Novel Equation for Isothermal Pipe Flow.". Chemical Engineering, June 2012, http://www.chemengonline.com/a-novel-equation-for-isothermal-pipe-flow/?printmode=1 .. [3] Wilkes, James O. Fluid Mechanics for Chemical Engineers with Microfluidics and CFD. 2 edition. Upper Saddle River, NJ: Prentice Hall, 2005. .. [4] Rennels, Donald C., and Hobart M. Hudson. Pipe Flow: A Practical and Comprehensive Guide. 1st edition. Hoboken, N.J: Wiley, 2012. ''' if m is None and P1 is not None and P2 is not None and L is not None and D is not None: Pcf = P_isothermal_critical_flow(P=P1, fd=fd, D=D, L=L) if P2 < Pcf: raise ValueError('Given outlet pressure is not physically possible ' # numba: delete 'due to the formation of choked flow at P2=%f, specified outlet pressure was %f' % (Pcf, P2)) # numba: delete # raise ValueError("Not possible") # numba: uncomment if P2 > P1: raise ValueError('Specified outlet pressure is larger than the ' 'inlet pressure; fluid will flow backwards.') return sqrt(0.0625*pi*pi*D**4*rho/(P1*(fd*L/D + 2.0*log(P1/P2)))*(P1*P1 - P2*P2)) elif L is None and P1 is not None and P2 is not None and D is not None and m is not None: return D*(pi*pi*D**4*rho*(P1*P1 - P2*P2) - 32.0*P1*m*m*log(P1/P2))/(16.0*P1*fd*m*m) elif P1 is None and L is not None and P2 is not None and D is not None and m is not None: Pcf = P_upstream_isothermal_critical_flow(P=P2, fd=fd, D=D, L=L) try: # Use the explicit solution for P2 with different P1 guesses; # newton doesn't like solving for m. P1 = secant(isothermal_gas_err_P2_basis, (P2+Pcf)/2., args=(P2, rho, fd, m, L, D)) if not (P2 <= P1): raise ValueError("Failed") return P1 except: try: return ridder(isothermal_gas_err_P1, a=P2, b=Pcf, args=(fd, rho, P2, L, D, m)) except: m_max = isothermal_gas(rho, fd, P1=Pcf, P2=P2, L=L, D=D) # numba: delete raise ValueError('The desired mass flow rate of %f kg/s cannot ' # numba: delete 'be achieved with the specified downstream pressure; the maximum flowrate is ' # numba: delete '%f kg/s at an upstream pressure of %f Pa' %(m, m_max, Pcf)) # numba: delete # raise ValueError("Failed") # numba: uncomment elif P2 is None and L is not None and P1 is not None and D is not None and m is not None: try: Pcf = P_isothermal_critical_flow(P=P1, fd=fd, D=D, L=L) m_max = isothermal_gas(rho, fd, P1=P1, P2=Pcf, L=L, D=D) if not (m <= m_max): raise ValueError("Failed") C = fd*L/D B = (pi/4*D**2)**2*rho arg = -B/m**2*P1*exp(-(-C*m**2+B*P1)/m**2) # Consider the two real branches of the lambertw function. # The k=-1 branch produces the higher P2 values; the k=0 branch is # physically impossible. lambert_ans = float(lambertw(arg, k=-1).real) # Large overflow problem here; also divide by zero problems! # Fail and try a numerical solution if it doesn't work. if isinf(lambert_ans): raise ValueError("Should not be infinity") P2 = P1/exp((-C*m**2+lambert_ans*m**2+B*P1)/m**2/2.) if not (P2 < P1): raise ValueError("Should not be the case") return P2 except: Pcf = P_isothermal_critical_flow(P=P1, fd=fd, D=D, L=L) try: return ridder(isothermal_gas_err_P2, a=Pcf, b=P1, args=(rho, fd, P1, L, D, m)) except: m_max = isothermal_gas(rho, fd, P1=P1, P2=Pcf, L=L, D=D) raise ValueError('The desired mass flow rate cannot be achieved ' # numba: delete 'with the specified upstream pressure of %f Pa; the maximum flowrate is %f ' # numba: delete 'kg/s at a downstream pressure of %f' %(P1, m_max, Pcf)) # numba: delete # raise ValueError("Failed") # numba: uncomment # A solver which respects its boundaries is required here. # ridder cuts the time down from 2 ms to 200 mircoseconds. # Is is believed Pcf and P1 will always bracked the root, however # leave the commented code for testing elif D is None and P2 is not None and P1 is not None and L is not None and m is not None: return secant(isothermal_gas_err_D, 0.1, args=(m, rho, fd, P1, P2, L)) else: raise ValueError('This function solves for either mass flow, upstream \ pressure, downstream pressure, diameter, or length; all other inputs \ must be provided.') def Panhandle_A(SG, Tavg, L=None, D=None, P1=None, P2=None, Q=None, Ts=288.7, Ps=101325., Zavg=1.0, E=0.92): r'''Calculation function for dealing with flow of a compressible gas in a pipeline with the Panhandle A formula. Can calculate any of the following, given all other inputs: * Flow rate * Upstream pressure * Downstream pressure * Diameter of pipe * Length of pipe A variety of different constants and expressions have been presented for the Panhandle A equation. Here, a new form is developed with all units in base SI, based on the work of [1]_. .. math:: Q = 158.02053 E \left(\frac{T_s}{P_s}\right)^{1.0788}\left[\frac{P_1^2 -P_2^2}{L \cdot {SG}^{0.8539} T_{avg}Z_{avg}}\right]^{0.5394}D^{2.6182} Parameters ---------- SG : float Specific gravity of fluid with respect to air at the reference temperature and pressure `Ts` and `Ps`, [-] Tavg : float Average temperature of the fluid in the pipeline, [K] L : float, optional Length of pipe, [m] D : float, optional Diameter of pipe, [m] P1 : float, optional Inlet pressure to pipe, [Pa] P2 : float, optional Outlet pressure from pipe, [Pa] Q : float, optional Flow rate of gas through pipe at `Ts` and `Ps`, [m^3/s] Ts : float, optional Reference temperature for the specific gravity of the gas, [K] Ps : float, optional Reference pressure for the specific gravity of the gas, [Pa] Zavg : float, optional Average compressibility factor for gas, [-] E : float, optional Pipeline efficiency, a correction factor between 0 and 1 Returns ------- Q, P1, P2, D, or L : float The missing input which was solved for [base SI] Notes ----- [1]_'s original constant was 4.5965E-3, and it has units of km (length), kPa, mm (diameter), and flowrate in m^3/day. The form in [2]_ has the same exponents as used here, units of mm (diameter), kPa, km (length), and flow in m^3/hour; its leading constant is 1.9152E-4. The GPSA [3]_ has a leading constant of 0.191, a bracketed power of 0.5392, a specific gravity power of 0.853, and otherwise the same constants. It is in units of mm (diameter) and kPa and m^3/day; length is stated to be in km, but according to the errata is in m. [4]_ has a leading constant of 1.198E7, a specific gravity of power of 0.8541, and a power of diameter which is under the root of 4.854 and is otherwise the same. It has units of kPa and m^3/day, but is otherwise in base SI units. [5]_ has a leading constant of 99.5211, but its reference correction has no exponent; other exponents are the same as here. It is entirely in base SI units. [6]_ has pressures in psi, diameter in inches, length in miles, Q in ft^3/day, T in degrees Rankine, and a constant of 435.87. Its reference condition power is 1.07881, and it has a specific gravity correction outside any other term with a power of 0.4604. Examples -------- >>> Panhandle_A(D=0.340, P1=90E5, P2=20E5, L=160E3, SG=0.693, Tavg=277.15) 42.56082051195928 References ---------- .. [1] Menon, E. Shashi. Gas Pipeline Hydraulics. 1st edition. Boca Raton, FL: CRC Press, 2005. .. [2] Crane Co. Flow of Fluids Through Valves, Fittings, and Pipe. Crane, 2009. .. [3] GPSA. GPSA Engineering Data Book. 13th edition. Gas Processors Suppliers Association, Tulsa, OK, 2012. .. [4] Campbell, John M. Gas Conditioning and Processing, Vol. 2: The Equipment Modules. 7th edition. Campbell Petroleum Series, 1992. .. [5] Coelho, Paulo M., and Carlos Pinho. "Considerations about Equations for Steady State Flow in Natural Gas Pipelines." Journal of the Brazilian Society of Mechanical Sciences and Engineering 29, no. 3 (September 2007): 262-73. doi:10.1590/S1678-58782007000300005. .. [6] Ikoku, Chi U. Natural Gas Production Engineering. Malabar, Fla: Krieger Pub Co, 1991. ''' c1 = 1.0788 c2 = 0.8539 c3 = 0.5394 c4 = 2.6182 c5 = 158.0205328706957220332831680508433862787 # 45965*10**(591/1250)/864 if Q is None and L is not None and D is not None and P1 is not None and P2 is not None: return c5*E*(Ts/Ps)**c1*((P1**2 - P2**2)/(L*SG**c2*Tavg*Zavg))**c3*D**c4 elif D is None and L is not None and Q is not None and P1 is not None and P2 is not None: return (Q*(Ts/Ps)**(-c1)*(SG**(-c2)*(P1**2 - P2**2)/(L*Tavg*Zavg))**(-c3)/(E*c5))**(1./c4) elif P1 is None and L is not None and Q is not None and D is not None and P2 is not None: return sqrt(L*SG**c2*Tavg*Zavg*(D**(-c4)*Q*(Ts/Ps)**(-c1)/(E*c5))**(1./c3) + P2**2) elif P2 is None and L is not None and Q is not None and D is not None and P1 is not None: return sqrt(-L*SG**c2*Tavg*Zavg*(D**(-c4)*Q*(Ts/Ps)**(-c1)/(E*c5))**(1./c3) + P1**2) elif L is None and P2 is not None and Q is not None and D is not None and P1 is not None: return SG**(-c2)*(D**(-c4)*Q*(Ts/Ps)**(-c1)/(E*c5))**(-1./c3)*(P1**2 - P2**2)/(Tavg*Zavg) else: raise ValueError('This function solves for either flow, upstream \ pressure, downstream pressure, diameter, or length; all other inputs \ must be provided.') def Panhandle_B(SG, Tavg, L=None, D=None, P1=None, P2=None, Q=None, Ts=288.7, Ps=101325., Zavg=1.0, E=0.92): r'''Calculation function for dealing with flow of a compressible gas in a pipeline with the Panhandle B formula. Can calculate any of the following, given all other inputs: * Flow rate * Upstream pressure * Downstream pressure * Diameter of pipe * Length of pipe A variety of different constants and expressions have been presented for the Panhandle B equation. Here, a new form is developed with all units in base SI, based on the work of [1]_. .. math:: Q = 152.88116 E \left(\frac{T_s}{P_s}\right)^{1.02}\left[\frac{P_1^2 -P_2^2}{L \cdot {SG}^{0.961} T_{avg}Z_{avg}}\right]^{0.51}D^{2.53} Parameters ---------- SG : float Specific gravity of fluid with respect to air at the reference temperature and pressure `Ts` and `Ps`, [-] Tavg : float Average temperature of the fluid in the pipeline, [K] L : float, optional Length of pipe, [m] D : float, optional Diameter of pipe, [m] P1 : float, optional Inlet pressure to pipe, [Pa] P2 : float, optional Outlet pressure from pipe, [Pa] Q : float, optional Flow rate of gas through pipe at `Ts` and `Ps`, [m^3/s] Ts : float, optional Reference temperature for the specific gravity of the gas, [K] Ps : float, optional Reference pressure for the specific gravity of the gas, [Pa] Zavg : float, optional Average compressibility factor for gas, [-] E : float, optional Pipeline efficiency, a correction factor between 0 and 1 Returns ------- Q, P1, P2, D, or L : float The missing input which was solved for [base SI] Notes ----- [1]_'s original constant was 1.002E-2, and it has units of km (length), kPa, mm (diameter), and flowrate in m^3/day. The form in [2]_ has the same exponents as used here, units of mm (diameter), kPa, km (length), and flow in m^3/hour; its leading constant is 4.1749E-4. The GPSA [3]_ has a leading constant of 0.339, and otherwise the same constants. It is in units of mm (diameter) and kPa and m^3/day; length is stated to be in km, but according to the errata is in m. [4]_ has a leading constant of 1.264E7, a diameter power of 4.961 which is also under the 0.51 power, and is otherwise the same. It has units of kPa and m^3/day, but is otherwise in base SI units. [5]_ has a leading constant of 135.8699, but its reference correction has no exponent and its specific gravity has a power of 0.9608; the other exponents are the same as here. It is entirely in base SI units. [6]_ has pressures in psi, diameter in inches, length in miles, Q in ft^3/day, T in degrees Rankine, and a constant of 737 with the exponents the same as here. Examples -------- >>> Panhandle_B(D=0.340, P1=90E5, P2=20E5, L=160E3, SG=0.693, Tavg=277.15) 42.35366178004172 References ---------- .. [1] Menon, E. Shashi. Gas Pipeline Hydraulics. 1st edition. Boca Raton, FL: CRC Press, 2005. .. [2] Crane Co. Flow of Fluids Through Valves, Fittings, and Pipe. Crane, 2009. .. [3] GPSA. GPSA Engineering Data Book. 13th edition. Gas Processors Suppliers Association, Tulsa, OK, 2012. .. [4] Campbell, John M. Gas Conditioning and Processing, Vol. 2: The Equipment Modules. 7th edition. Campbell Petroleum Series, 1992. .. [5] Coelho, Paulo M., and Carlos Pinho. "Considerations about Equations for Steady State Flow in Natural Gas Pipelines." Journal of the Brazilian Society of Mechanical Sciences and Engineering 29, no. 3 (September 2007): 262-73. doi:10.1590/S1678-58782007000300005. .. [6] Ikoku, Chi U. Natural Gas Production Engineering. Malabar, Fla: Krieger Pub Co, 1991. ''' c1 = 1.02 # reference condition power c2 = 0.961 # sg power c3 = 0.51 # main power c4 = 2.53 # diameter power c5 = 152.8811634298055458624385985866624419060 # 4175*10**(3/25)/36 if Q is None and L is not None and D is not None and P1 is not None and P2 is not None: return c5*E*(Ts/Ps)**c1*((P1**2 - P2**2)/(L*SG**c2*Tavg*Zavg))**c3*D**c4 elif D is None and L is not None and Q is not None and P1 is not None and P2 is not None: return (Q*(Ts/Ps)**(-c1)*(SG**(-c2)*(P1**2 - P2**2)/(L*Tavg*Zavg))**(-c3)/(E*c5))**(1./c4) elif P1 is None and L is not None and Q is not None and D is not None and P2 is not None: return sqrt(L*SG**c2*Tavg*Zavg*(D**(-c4)*Q*(Ts/Ps)**(-c1)/(E*c5))**(1./c3) + P2**2) elif P2 is None and L is not None and Q is not None and D is not None and P1 is not None: return sqrt(-L*SG**c2*Tavg*Zavg*(D**(-c4)*Q*(Ts/Ps)**(-c1)/(E*c5))**(1./c3) + P1**2) elif L is None and P2 is not None and Q is not None and D is not None and P1 is not None: return SG**(-c2)*(D**(-c4)*Q*(Ts/Ps)**(-c1)/(E*c5))**(-1./c3)*(P1**2 - P2**2)/(Tavg*Zavg) else: raise ValueError('This function solves for either flow, upstream \ pressure, downstream pressure, diameter, or length; all other inputs \ must be provided.') def Weymouth(SG, Tavg, L=None, D=None, P1=None, P2=None, Q=None, Ts=288.7, Ps=101325., Zavg=1.0, E=0.92): r'''Calculation function for dealing with flow of a compressible gas in a pipeline with the Weymouth formula. Can calculate any of the following, given all other inputs: * Flow rate * Upstream pressure * Downstream pressure * Diameter of pipe * Length of pipe A variety of different constants and expressions have been presented for the Weymouth equation. Here, a new form is developed with all units in base SI, based on the work of [1]_. .. math:: Q = 137.32958 E \frac{T_s}{P_s}\left[\frac{P_1^2 -P_2^2}{L \cdot {SG} \cdot T_{avg}Z_{avg}}\right]^{0.5}D^{2.667} Parameters ---------- SG : float Specific gravity of fluid with respect to air at the reference temperature and pressure `Ts` and `Ps`, [-] Tavg : float Average temperature of the fluid in the pipeline, [K] L : float, optional Length of pipe, [m] D : float, optional Diameter of pipe, [m] P1 : float, optional Inlet pressure to pipe, [Pa] P2 : float, optional Outlet pressure from pipe, [Pa] Q : float, optional Flow rate of gas through pipe at `Ts` and `Ps`, [m^3/s] Ts : float, optional Reference temperature for the specific gravity of the gas, [K] Ps : float, optional Reference pressure for the specific gravity of the gas, [Pa] Zavg : float, optional Average compressibility factor for gas, [-] E : float, optional Pipeline efficiency, a correction factor between 0 and 1 Returns ------- Q, P1, P2, D, or L : float The missing input which was solved for [base SI] Notes ----- [1]_'s original constant was 3.7435E-3, and it has units of km (length), kPa, mm (diameter), and flowrate in m^3/day. The form in [2]_ has the same exponents as used here, units of mm (diameter), kPa, km (length), and flow in m^3/hour; its leading constant is 1.5598E-4. The GPSA [3]_ has a leading constant of 0.1182, and otherwise the same constants. It is in units of mm (diameter) and kPa and m^3/day; length is stated to be in km, but according to the errata is in m. [4]_ has a leading constant of 1.162E7, a diameter power of 5.333 which is also under the 0.50 power, and is otherwise the same. It has units of kPa and m^3/day, but is otherwise in base SI units. [5]_ has a leading constant of 137.2364; the other exponents are the same as here. It is entirely in base SI units. [6]_ has pressures in psi, diameter in inches, length in miles, Q in ft^3/hour, T in degrees Rankine, and a constant of 18.062 with the exponents the same as here. Examples -------- >>> Weymouth(D=0.340, P1=90E5, P2=20E5, L=160E3, SG=0.693, Tavg=277.15) 32.07729055913029 References ---------- .. [1] Menon, E. Shashi. Gas Pipeline Hydraulics. 1st edition. Boca Raton, FL: CRC Press, 2005. .. [2] Crane Co. Flow of Fluids Through Valves, Fittings, and Pipe. Crane, 2009. .. [3] GPSA. GPSA Engineering Data Book. 13th edition. Gas Processors Suppliers Association, Tulsa, OK, 2012. .. [4] Campbell, John M. Gas Conditioning and Processing, Vol. 2: The Equipment Modules. 7th edition. Campbell Petroleum Series, 1992. .. [5] Coelho, Paulo M., and Carlos Pinho. "Considerations about Equations for Steady State Flow in Natural Gas Pipelines." Journal of the Brazilian Society of Mechanical Sciences and Engineering 29, no. 3 (September 2007): 262-73. doi:10.1590/S1678-58782007000300005. .. [6] Ikoku, Chi U. Natural Gas Production Engineering. Malabar, Fla: Krieger Pub Co, 1991. ''' c3 = 0.5 # main power c4 = 2.667 # diameter power c5 = 137.3295809942512546732179684618143090992 # 37435*10**(501/1000)/864 if Q is None and L is not None and D is not None and P1 is not None and P2 is not None: return c5*E*(Ts/Ps)*((P1**2 - P2**2)/(L*SG*Tavg*Zavg))**c3*D**c4 elif D is None and L is not None and Q is not None and P1 is not None and P2 is not None: return (Ps*Q*((P1**2 - P2**2)/(L*SG*Tavg*Zavg))**(-c3)/(E*Ts*c5))**(1./c4) elif P1 is None and L is not None and Q is not None and D is not None and P2 is not None: return sqrt(L*SG*Tavg*Zavg*(D**(-c4)*Ps*Q/(E*Ts*c5))**(1./c3) + P2**2) elif P2 is None and L is not None and Q is not None and D is not None and P1 is not None: return sqrt(-L*SG*Tavg*Zavg*(D**(-c4)*Ps*Q/(E*Ts*c5))**(1./c3) + P1**2) elif L is None and P2 is not None and Q is not None and D is not None and P1 is not None: return (D**(-c4)*Ps*Q/(E*Ts*c5))**(-1./c3)*(P1**2 - P2**2)/(SG*Tavg*Zavg) else: raise ValueError('This function solves for either flow, upstream \ pressure, downstream pressure, diameter, or length; all other inputs \ must be provided.') def _to_solve_Spitzglass_high(D, Q, SG, Tavg, L, P1, P2, Ts, Ps, Zavg, E): return Q - Spitzglass_high(SG=SG, Tavg=Tavg, L=L, D=D, P1=P1, P2=P2, Ts=Ts, Ps=Ps,Zavg=Zavg, E=E) def Spitzglass_high(SG, Tavg, L=None, D=None, P1=None, P2=None, Q=None, Ts=288.7, Ps=101325., Zavg=1.0, E=1.): r'''Calculation function for dealing with flow of a compressible gas in a pipeline with the Spitzglass (high pressure drop) formula. Can calculate any of the following, given all other inputs: * Flow rate * Upstream pressure * Downstream pressure * Diameter of pipe (numerical solution) * Length of pipe A variety of different constants and expressions have been presented for the Spitzglass (high pressure drop) formula. Here, the form as in [1]_ is used but with a more precise metric conversion from inches to m. .. math:: Q = 125.1060 E \left(\frac{T_s}{P_s}\right)\left[\frac{P_1^2 -P_2^2}{L \cdot {SG} T_{avg}Z_{avg} (1 + 0.09144/D + \frac{150}{127}D)} \right]^{0.5}D^{2.5} Parameters ---------- SG : float Specific gravity of fluid with respect to air at the reference temperature and pressure `Ts` and `Ps`, [-] Tavg : float Average temperature of the fluid in the pipeline, [K] L : float, optional Length of pipe, [m] D : float, optional Diameter of pipe, [m] P1 : float, optional Inlet pressure to pipe, [Pa] P2 : float, optional Outlet pressure from pipe, [Pa] Q : float, optional Flow rate of gas through pipe at `Ts` and `Ps`, [m^3/s] Ts : float, optional Reference temperature for the specific gravity of the gas, [K] Ps : float, optional Reference pressure for the specific gravity of the gas, [Pa] Zavg : float, optional Average compressibility factor for gas, [-] E : float, optional Pipeline efficiency, a correction factor between 0 and 1 Returns ------- Q, P1, P2, D, or L : float The missing input which was solved for [base SI] Notes ----- This equation is often presented without any correction for reference conditions for specific gravity. This model is also presented in [2]_ with a leading constant of 1.0815E-2, the same exponents as used here, units of mm (diameter), kPa, km (length), and flow in m^3/hour. Examples -------- >>> Spitzglass_high(D=0.340, P1=90E5, P2=20E5, L=160E3, SG=0.693, Tavg=277.15) 29.42670246281681 References ---------- .. [1] Coelho, Paulo M., and Carlos Pinho. "Considerations about Equations for Steady State Flow in Natural Gas Pipelines." Journal of the Brazilian Society of Mechanical Sciences and Engineering 29, no. 3 (September 2007): 262-73. doi:10.1590/S1678-58782007000300005. .. [2] Menon, E. Shashi. Gas Pipeline Hydraulics. 1st edition. Boca Raton, FL: CRC Press, 2005. ''' c3 = 1.181102362204724409448818897637795275591 # 0.03/inch or 150/127 c4 = 0.09144 c5 = 125.1060 if Q is None and L is not None and D is not None and P1 is not None and P2 is not None: return (c5*E*Ts/Ps*D**2.5*sqrt((P1**2-P2**2) /(L*SG*Zavg*Tavg*(1 + c4/D + c3*D)))) elif D is None and L is not None and Q is not None and P1 is not None and P2 is not None: return secant(_to_solve_Spitzglass_high, 0.5, args=(Q, SG, Tavg, L, P1, P2, Ts, Ps, Zavg, E)) elif P1 is None and L is not None and Q is not None and D is not None and P2 is not None: return sqrt((D**6*E**2*P2**2*Ts**2*c5**2 + D**2*L*Ps**2*Q**2*SG*Tavg*Zavg*c3 + D*L*Ps**2*Q**2*SG*Tavg*Zavg + L*Ps**2*Q**2*SG*Tavg*Zavg*c4)/(D**6*E**2*Ts**2*c5**2)) elif P2 is None and L is not None and Q is not None and D is not None and P1 is not None: return sqrt((D**6*E**2*P1**2*Ts**2*c5**2 - D**2*L*Ps**2*Q**2*SG*Tavg*Zavg*c3 - D*L*Ps**2*Q**2*SG*Tavg*Zavg - L*Ps**2*Q**2*SG*Tavg*Zavg*c4)/(D**6*E**2*Ts**2*c5**2)) elif L is None and P2 is not None and Q is not None and D is not None and P1 is not None: return (D**6*E**2*Ts**2*c5**2*(P1**2 - P2**2) /(Ps**2*Q**2*SG*Tavg*Zavg*(D**2*c3 + D + c4))) else: raise ValueError('This function solves for either flow, upstream \ pressure, downstream pressure, diameter, or length; all other inputs \ must be provided.') def _to_solve_Spitzglass_low(D, Q, SG, Tavg, L, P1, P2, Ts, Ps, Zavg, E): return Q - Spitzglass_low(SG=SG, Tavg=Tavg, L=L, D=D, P1=P1, P2=P2, Ts=Ts, Ps=Ps, Zavg=Zavg, E=E) def Spitzglass_low(SG, Tavg, L=None, D=None, P1=None, P2=None, Q=None, Ts=288.7, Ps=101325., Zavg=1.0, E=1.): r'''Calculation function for dealing with flow of a compressible gas in a pipeline with the Spitzglass (low pressure drop) formula. Can calculate any of the following, given all other inputs: * Flow rate * Upstream pressure * Downstream pressure * Diameter of pipe (numerical solution) * Length of pipe A variety of different constants and expressions have been presented for the Spitzglass (low pressure drop) formula. Here, the form as in [1]_ is used but with a more precise metric conversion from inches to m. .. math:: Q = 125.1060 E \left(\frac{T_s}{P_s}\right)\left[\frac{2(P_1 -P_2)(P_s+1210)}{L \cdot {SG} \cdot T_{avg}Z_{avg} (1 + 0.09144/D + \frac{150}{127}D)}\right]^{0.5}D^{2.5} Parameters ---------- SG : float Specific gravity of fluid with respect to air at the reference temperature and pressure `Ts` and `Ps`, [-] Tavg : float Average temperature of the fluid in the pipeline, [K] L : float, optional Length of pipe, [m] D : float, optional Diameter of pipe, [m] P1 : float, optional Inlet pressure to pipe, [Pa] P2 : float, optional Outlet pressure from pipe, [Pa] Q : float, optional Flow rate of gas through pipe at `Ts` and `Ps`, [m^3/s] Ts : float, optional Reference temperature for the specific gravity of the gas, [K] Ps : float, optional Reference pressure for the specific gravity of the gas, [Pa] Zavg : float, optional Average compressibility factor for gas, [-] E : float, optional Pipeline efficiency, a correction factor between 0 and 1 Returns ------- Q, P1, P2, D, or L : float The missing input which was solved for [base SI] Notes ----- This equation is often presented without any correction for reference conditions for specific gravity. This model is also presented in [2]_ with a leading constant of 5.69E-2, the same exponents as used here, units of mm (diameter), kPa, km (length), and flow in m^3/hour. However, it is believed to contain a typo, and gives results <1/3 of the correct values. It is also present in [2]_ in imperial form; this is believed correct, but makes a slight assumption not done in [1]_. This model is present in [3]_ without reference corrections. The 1210 constant in [1]_ is an approximation necessary for the reference correction to function without a square of the pressure difference. The GPSA version is as follows, and matches this formulation very closely: .. math:: Q = 0.821 \left[\frac{(P_1-P_2)D^5}{L \cdot {SG} (1 + 91.44/D + 0.0018D)}\right]^{0.5} The model is also shown in [4]_, with diameter in inches, length in feet, flow in MMSCFD, pressure drop in inH2O, and a rounded leading constant of 0.09; this makes its predictions several percent higher than the model here. Examples -------- >>> Spitzglass_low(D=0.154051, P1=6720.3199, P2=0, L=54.864, SG=0.6, Tavg=288.7) 0.9488775242530617 References ---------- .. [1] Coelho, Paulo M., and Carlos Pinho. "Considerations about Equations for Steady State Flow in Natural Gas Pipelines." Journal of the Brazilian Society of Mechanical Sciences and Engineering 29, no. 3 (September 2007): 262-73. doi:10.1590/S1678-58782007000300005. .. [2] Menon, E. Shashi. Gas Pipeline Hydraulics. 1st edition. Boca Raton, FL: CRC Press, 2005. .. [3] GPSA. GPSA Engineering Data Book. 13th edition. Gas Processors Suppliers Association, Tulsa, OK, 2012. .. [4] PetroWiki. "Pressure Drop Evaluation along Pipelines" Accessed September 11, 2016. http://petrowiki.org/Pressure_drop_evaluation_along_pipelines#Spitzglass_equation_2. ''' c3 = 1.181102362204724409448818897637795275591 # 0.03/inch or 150/127 c4 = 0.09144 c5 = 125.1060 if Q is None and L is not None and D is not None and P1 is not None and P2 is not None: return c5*Ts/Ps*D**2.5*E*sqrt(((P1-P2)*2*(Ps+1210.))/(L*SG*Tavg*Zavg*(1 + c4/D + c3*D))) elif D is None and L is not None and Q is not None and P1 is not None and P2 is not None: return secant(_to_solve_Spitzglass_low, 0.5, args=(Q, SG, Tavg, L, P1, P2, Ts, Ps, Zavg, E)) elif P1 is None and L is not None and Q is not None and D is not None and P2 is not None: return 0.5*(2.0*D**6*E**2*P2*Ts**2*c5**2*(Ps + 1210.0) + D**2*L*Ps**2*Q**2*SG*Tavg*Zavg*c3 + D*L*Ps**2*Q**2*SG*Tavg*Zavg + L*Ps**2*Q**2*SG*Tavg*Zavg*c4)/(D**6*E**2*Ts**2*c5**2*(Ps + 1210.0)) elif P2 is None and L is not None and Q is not None and D is not None and P1 is not None: return 0.5*(2.0*D**6*E**2*P1*Ts**2*c5**2*(Ps + 1210.0) - D**2*L*Ps**2*Q**2*SG*Tavg*Zavg*c3 - D*L*Ps**2*Q**2*SG*Tavg*Zavg - L*Ps**2*Q**2*SG*Tavg*Zavg*c4)/(D**6*E**2*Ts**2*c5**2*(Ps + 1210.0)) elif L is None and P2 is not None and Q is not None and D is not None and P1 is not None: return 2.0*D**6*E**2*Ts**2*c5**2*(P1*Ps + 1210.0*P1 - P2*Ps - 1210.0*P2)/(Ps**2*Q**2*SG*Tavg*Zavg*(D**2*c3 + D + c4)) else: raise ValueError('This function solves for either flow, upstream \ pressure, downstream pressure, diameter, or length; all other inputs \ must be provided.') def _to_solve_Oliphant(D, Q, SG, Tavg, L, P1, P2, Ts, Ps, Zavg, E): return Q - Oliphant(SG=SG, Tavg=Tavg, L=L, D=D, P1=P1, P2=P2, Ts=Ts, Ps=Ps, Zavg=Zavg, E=E) def Oliphant(SG, Tavg, L=None, D=None, P1=None, P2=None, Q=None, Ts=288.7, Ps=101325., Zavg=1.0, E=0.92): r'''Calculation function for dealing with flow of a compressible gas in a pipeline with the Oliphant formula. Can calculate any of the following, given all other inputs: * Flow rate * Upstream pressure * Downstream pressure * Diameter of pipe (numerical solution) * Length of pipe This model is a more complete conversion to metric of the Imperial version presented in [1]_. .. math:: Q = 84.5872\left(D^{2.5} + 0.20915D^3\right)\frac{T_s}{P_s}\left(\frac {P_1^2 - P_2^2}{L\cdot {SG} \cdot T_{avg}}\right)^{0.5} Parameters ---------- SG : float Specific gravity of fluid with respect to air at the reference temperature and pressure `Ts` and `Ps`, [-] Tavg : float Average temperature of the fluid in the pipeline, [K] L : float, optional Length of pipe, [m] D : float, optional Diameter of pipe, [m] P1 : float, optional Inlet pressure to pipe, [Pa] P2 : float, optional Outlet pressure from pipe, [Pa] Q : float, optional Flow rate of gas through pipe at `Ts` and `Ps`, [m^3/s] Ts : float, optional Reference temperature for the specific gravity of the gas, [K] Ps : float, optional Reference pressure for the specific gravity of the gas, [Pa] Zavg : float, optional Average compressibility factor for gas, [-] E : float, optional Pipeline efficiency, a correction factor between 0 and 1 Returns ------- Q, P1, P2, D, or L : float The missing input which was solved for [base SI] Notes ----- Recommended in [1]_ for use between vacuum and 100 psi. The model is simplified by grouping constants here; however, it is presented in the imperial unit set inches (diameter), miles (length), psi, Rankine, and MMSCFD in [1]_: .. math:: Q = 42(24)\left(D^{2.5} + \frac{D^3}{30}\right)\left(\frac{14.4}{P_s} \right)\left(\frac{T_s}{520}\right)\left[\left(\frac{0.6}{SG}\right) \left(\frac{520}{T_{avg}}\right)\left(\frac{P_1^2 - P_2^2}{L}\right) \right]^{0.5} Examples -------- >>> Oliphant(D=0.340, P1=90E5, P2=20E5, L=160E3, SG=0.693, Tavg=277.15) 28.851535408143057 References ---------- .. [1] GPSA. GPSA Engineering Data Book. 13th edition. Gas Processors Suppliers Association, Tulsa, OK, 2012. .. [2] F. N. Oliphant, "Production of Natural Gas," Report. USGS, 1902. ''' # c1 = 42*24*Q*foot**3/day*(mile)**0.5*9/5.*(5/9.)**0.5*psi*(1/psi)*14.4/520.*0.6**0.5*520**0.5/inch**2.5 c1 = 84.587176139918568651410168968141078948974609375000 c2 = 0.2091519350460528670065940559652517549694 # 1/(30.*0.0254**0.5) if Q is None and L is not None and D is not None and P1 is not None and P2 is not None: return c1*(D**2.5 + c2*D**3)*Ts/Ps*sqrt((P1**2-P2**2)/(L*SG*Tavg)) elif D is None and L is not None and Q is not None and P1 is not None and P2 is not None: return secant(_to_solve_Oliphant, 0.5, args=(Q, SG, Tavg, L, P1, P2, Ts, Ps, Zavg, E)) elif P1 is None and L is not None and Q is not None and D is not None and P2 is not None: return sqrt(L*Ps**2*Q**2*SG*Tavg/(Ts**2*c1**2*(D**3*c2 + D**2.5)**2) + P2**2) elif P2 is None and L is not None and Q is not None and D is not None and P1 is not None: return sqrt(-L*Ps**2*Q**2*SG*Tavg/(Ts**2*c1**2*(D**3*c2 + D**2.5)**2) + P1**2) elif L is None and P2 is not None and Q is not None and D is not None and P1 is not None: return Ts**2*c1**2*(P1**2 - P2**2)*(D**3*c2 + D**2.5)**2/(Ps**2*Q**2*SG*Tavg) else: raise ValueError('This function solves for either flow, upstream \ pressure, downstream pressure, diameter, or length; all other inputs \ must be provided.') def Fritzsche(SG, Tavg, L=None, D=None, P1=None, P2=None, Q=None, Ts=288.7, Ps=101325., Zavg=1.0, E=1.0): r'''Calculation function for dealing with flow of a compressible gas in a pipeline with the Fritzsche formula. Can calculate any of the following, given all other inputs: * Flow rate * Upstream pressure * Downstream pressure * Diameter of pipe * Length of pipe A variety of different constants and expressions have been presented for the Fritzsche formula. Here, the form as in [1]_ is used but with all inputs in base SI units. .. math:: Q = 93.500 \frac{T_s}{P_s}\left(\frac{P_1^2 - P_2^2} {L\cdot {SG}^{0.8587} \cdot T_{avg}}\right)^{0.538}D^{2.69} Parameters ---------- SG : float Specific gravity of fluid with respect to air at the reference temperature and pressure `Ts` and `Ps`, [-] Tavg : float Average temperature of the fluid in the pipeline, [K] L : float, optional Length of pipe, [m] D : float, optional Diameter of pipe, [m] P1 : float, optional Inlet pressure to pipe, [Pa] P2 : float, optional Outlet pressure from pipe, [Pa] Q : float, optional Flow rate of gas through pipe at `Ts` and `Ps`, [m^3/s] Ts : float, optional Reference temperature for the specific gravity of the gas, [K] Ps : float, optional Reference pressure for the specific gravity of the gas, [Pa] Zavg : float, optional Average compressibility factor for gas, [-] E : float, optional Pipeline efficiency, a correction factor between 0 and 1 Returns ------- Q, P1, P2, D, or L : float The missing input which was solved for [base SI] Notes ----- This model is also presented in [1]_ with a leading constant of 2.827, the same exponents as used here, units of mm (diameter), kPa, km (length), and flow in m^3/hour. This model is shown in base SI units in [2]_, and with a leading constant of 94.2565, a diameter power of 2.6911, main group power of 0.5382 and a specific gravity power of 0.858. The difference is very small. Examples -------- >>> Fritzsche(D=0.340, P1=90E5, P2=20E5, L=160E3, SG=0.693, Tavg=277.15) 39.421535157535565 References ---------- .. [1] Menon, E. Shashi. Gas Pipeline Hydraulics. 1st edition. Boca Raton, FL: CRC Press, 2005. .. [2] Coelho, Paulo M., and Carlos Pinho. "Considerations about Equations for Steady State Flow in Natural Gas Pipelines." Journal of the Brazilian Society of Mechanical Sciences and Engineering 29, no. 3 (September 2007): 262-73. doi:10.1590/S1678-58782007000300005. ''' # Rational('2.827E-3')/(3600*24)*(1000)**Rational('2.69')*(1000)**Rational('0.538')*1000/(1000**2)**Rational('0.538') c5 = 93.50009798751128188757518688244137811221 # 14135*10**(57/125)/432 c2 = 0.8587 c3 = 0.538 c4 = 2.69 if Q is None and L is not None and D is not None and P1 is not None and P2 is not None: return c5*E*(Ts/Ps)*((P1**2 - P2**2)/(SG**c2*Tavg*L*Zavg))**c3*D**c4 elif D is None and L is not None and Q is not None and P1 is not None and P2 is not None: return (Ps*Q*(SG**(-c2)*(P1**2 - P2**2)/(L*Tavg*Zavg))**(-c3)/(E*Ts*c5))**(1./c4) elif P1 is None and L is not None and Q is not None and D is not None and P2 is not None: return sqrt(L*SG**c2*Tavg*Zavg*(D**(-c4)*Ps*Q/(E*Ts*c5))**(1./c3) + P2**2) elif P2 is None and L is not None and Q is not None and D is not None and P1 is not None: return sqrt(-L*SG**c2*Tavg*Zavg*(D**(-c4)*Ps*Q/(E*Ts*c5))**(1./c3) + P1**2) elif L is None and P2 is not None and Q is not None and D is not None and P1 is not None: return SG**(-c2)*(D**(-c4)*Ps*Q/(E*Ts*c5))**(-1./c3)*(P1**2 - P2**2)/(Tavg*Zavg) else: raise ValueError('This function solves for either flow, upstream pressure, downstream pressure, diameter, or length; all other inputs must be provided.') def Muller(SG, Tavg, mu, L=None, D=None, P1=None, P2=None, Q=None, Ts=288.7, Ps=101325., Zavg=1.0, E=1.0): r'''Calculation function for dealing with flow of a compressible gas in a pipeline with the Muller formula. Can calculate any of the following, given all other inputs: * Flow rate * Upstream pressure * Downstream pressure * Diameter of pipe * Length of pipe A variety of different constants and expressions have been presented for the Muller formula. Here, the form as in [1]_ is used but with all inputs in base SI units. .. math:: Q = 15.7743\frac{T_s}{P_s}E\left(\frac{P_1^2 - P_2^2}{L \cdot Z_{avg} \cdot T_{avg}}\right)^{0.575} \left(\frac{D^{2.725}}{\mu^{0.15} SG^{0.425}}\right) Parameters ---------- SG : float Specific gravity of fluid with respect to air at the reference temperature and pressure `Ts` and `Ps`, [-] Tavg : float Average temperature of the fluid in the pipeline, [K] mu : float Average viscosity of the fluid in the pipeline, [Pa*s] L : float, optional Length of pipe, [m] D : float, optional Diameter of pipe, [m] P1 : float, optional Inlet pressure to pipe, [Pa] P2 : float, optional Outlet pressure from pipe, [Pa] Q : float, optional Flow rate of gas through pipe at `Ts` and `Ps`, [m^3/s] Ts : float, optional Reference temperature for the specific gravity of the gas, [K] Ps : float, optional Reference pressure for the specific gravity of the gas, [Pa] Zavg : float, optional Average compressibility factor for gas, [-] E : float, optional Pipeline efficiency, a correction factor between 0 and 1 Returns ------- Q, P1, P2, D, or L : float The missing input which was solved for [base SI] Notes ----- This model is presented in [1]_ with a leading constant of 0.4937, the same exponents as used here, units of inches (diameter), psi, feet (length), Rankine, pound/(foot*second) for viscosity, and 1000 ft^3/hour. This model is also presented in [2]_ in both SI and imperial form. The SI form was incorrectly converted and yields much higher flow rates. The imperial version has a leading constant of 85.7368, the same powers as used here except with rounded values of powers of viscosity (0.2609) and specific gravity (0.7391) rearranged to be inside the bracketed group; its units are inches (diameter), psi, miles (length), Rankine, pound/(foot*second) for viscosity, and ft^3/day. This model is shown in base SI units in [3]_, and with a leading constant of 15.7650, a diameter power of 2.724, main group power of 0.5747, a specific gravity power of 0.74, and a viscosity power of 0.1494. Examples -------- >>> Muller(D=0.340, P1=90E5, P2=20E5, L=160E3, SG=0.693, mu=1E-5, ... Tavg=277.15) 60.45796698148659 References ---------- .. [1] Mohitpour, Mo, Golshan, and Allan Murray. Pipeline Design and Construction: A Practical Approach. 3rd edition. New York: Amer Soc Mechanical Engineers, 2006. .. [2] Menon, E. Shashi. Gas Pipeline Hydraulics. 1st edition. Boca Raton, FL: CRC Press, 2005. .. [3] Coelho, Paulo M., and Carlos Pinho. "Considerations about Equations for Steady State Flow in Natural Gas Pipelines." Journal of the Brazilian Society of Mechanical Sciences and Engineering 29, no. 3 (September 2007): 262-73. doi:10.1590/S1678-58782007000300005. ''' # 1000*foot**3/hour*0.4937/inch**2.725*foot**0.575*(5/9.)**0.575*9/5.*(pound/foot)**0.15*psi*(1/psi**2)**0.575 c5 = 15.77439908642077352939746374951659525108 # 5642991*196133**(17/20)*2**(3/5)*3**(11/40)*5**(7/40)/30645781250 c2 = 0.575 # main power c3 = 2.725 # D power c4 = 0.425 # SG power c1 = 0.15 # mu power if Q is None and L is not None and D is not None and P1 is not None and P2 is not None: return c5*Ts/Ps*E*((P1**2-P2**2)/Tavg/L/Zavg)**c2*D**c3/SG**c4/mu**c1 elif D is None and L is not None and Q is not None and P1 is not None and P2 is not None: return (Ps*Q*SG**c4*mu**c1*((P1**2 - P2**2)/(L*Tavg*Zavg))**(-c2)/(E*Ts*c5))**(1./c3) elif P1 is None and L is not None and Q is not None and D is not None and P2 is not None: return sqrt(L*Tavg*Zavg*(D**(-c3)*Ps*Q*SG**c4*mu**c1/(E*Ts*c5))**(1/c2) + P2**2) elif P2 is None and L is not None and Q is not None and D is not None and P1 is not None: return sqrt(-L*Tavg*Zavg*(D**(-c3)*Ps*Q*SG**c4*mu**c1/(E*Ts*c5))**(1/c2) + P1**2) elif L is None and P2 is not None and Q is not None and D is not None and P1 is not None: return (D**(-c3)*Ps*Q*SG**c4*mu**c1/(E*Ts*c5))**(-1/c2)*(P1**2 - P2**2)/(Tavg*Zavg) else: raise ValueError('This function solves for either flow, upstream pressure, downstream pressure, diameter, or length; all other inputs must be provided.') def IGT(SG, Tavg, mu, L=None, D=None, P1=None, P2=None, Q=None, Ts=288.7, Ps=101325., Zavg=1.0, E=1.0): r'''Calculation function for dealing with flow of a compressible gas in a pipeline with the IGT formula. Can calculate any of the following, given all other inputs: * Flow rate * Upstream pressure * Downstream pressure * Diameter of pipe * Length of pipe A variety of different constants and expressions have been presented for the IGT formula. Here, the form as in [1]_ is used but with all inputs in base SI units. .. math:: Q = 24.6241\frac{T_s}{P_s}E\left(\frac{P_1^2 - P_2^2}{L \cdot Z_{avg} \cdot T_{avg}}\right)^{5/9} \left(\frac{D^{8/3}}{\mu^{1/9} SG^{4/9}}\right) Parameters ---------- SG : float Specific gravity of fluid with respect to air at the reference temperature and pressure `Ts` and `Ps`, [-] Tavg : float Average temperature of the fluid in the pipeline, [K] mu : float Average viscosity of the fluid in the pipeline, [Pa*s] L : float, optional Length of pipe, [m] D : float, optional Diameter of pipe, [m] P1 : float, optional Inlet pressure to pipe, [Pa] P2 : float, optional Outlet pressure from pipe, [Pa] Q : float, optional Flow rate of gas through pipe at `Ts` and `Ps`, [m^3/s] Ts : float, optional Reference temperature for the specific gravity of the gas, [K] Ps : float, optional Reference pressure for the specific gravity of the gas, [Pa] Zavg : float, optional Average compressibility factor for gas, [-] E : float, optional Pipeline efficiency, a correction factor between 0 and 1 Returns ------- Q, P1, P2, D, or L : float The missing input which was solved for [base SI] Notes ----- This model is presented in [1]_ with a leading constant of 0.6643, the same exponents as used here, units of inches (diameter), psi, feet (length), Rankine, pound/(foot*second) for viscosity, and 1000 ft^3/hour. This model is also presented in [2]_ in both SI and imperial form. Both forms are correct. The imperial version has a leading constant of 136.9, the same powers as used here except with rounded values of powers of viscosity (0.2) and specific gravity (0.8) rearranged to be inside the bracketed group; its units are inches (diameter), psi, miles (length), Rankine, pound/(foot*second) for viscosity, and ft^3/day. This model is shown in base SI units in [3]_, and with a leading constant of 24.6145, and the same powers as used here. Examples -------- >>> IGT(D=0.340, P1=90E5, P2=20E5, L=160E3, SG=0.693, mu=1E-5, Tavg=277.15) 48.92351786788815 References ---------- .. [1] Mohitpour, Mo, Golshan, and Allan Murray. Pipeline Design and Construction: A Practical Approach. 3rd edition. New York: Amer Soc Mechanical Engineers, 2006. .. [2] Menon, E. Shashi. Gas Pipeline Hydraulics. 1st edition. Boca Raton, FL: CRC Press, 2005. .. [3] Coelho, Paulo M., and Carlos Pinho. "Considerations about Equations for Steady State Flow in Natural Gas Pipelines." Journal of the Brazilian Society of Mechanical Sciences and Engineering 29, no. 3 (September 2007): 262-73. doi:10.1590/S1678-58782007000300005. ''' # 1000*foot**3/hour*0.6643/inch**(8/3.)*foot**(5/9.)*(5/9.)**(5/9.)*9/5.*(pound/foot)**(1/9.)*psi*(1/psi**2)**(5/9.) c5 = 24.62412451461407054875301709443930350550 # 1084707*196133**(8/9)*2**(1/9)*6**(1/3)/4377968750 c2 = 5/9. # main power c3 = 8/3. # D power c4 = 4/9. # SG power c1 = 1/9. # mu power if Q is None and L is not None and D is not None and P1 is not None and P2 is not None: return c5*Ts/Ps*E*((P1**2-P2**2)/Tavg/L/Zavg)**c2*D**c3/SG**c4/mu**c1 elif D is None and L is not None and Q is not None and P1 is not None and P2 is not None: return (Ps*Q*SG**c4*mu**c1*((P1**2 - P2**2)/(L*Tavg*Zavg))**(-c2)/(E*Ts*c5))**(1./c3) elif P1 is None and L is not None and Q is not None and D is not None and P2 is not None: return sqrt(L*Tavg*Zavg*(D**(-c3)*Ps*Q*SG**c4*mu**c1/(E*Ts*c5))**(1/c2) + P2**2) elif P2 is None and L is not None and Q is not None and D is not None and P1 is not None: return sqrt(-L*Tavg*Zavg*(D**(-c3)*Ps*Q*SG**c4*mu**c1/(E*Ts*c5))**(1/c2) + P1**2) elif L is None and P2 is not None and Q is not None and D is not None and P1 is not None: return (D**(-c3)*Ps*Q*SG**c4*mu**c1/(E*Ts*c5))**(-1/c2)*(P1**2 - P2**2)/(Tavg*Zavg) else: raise ValueError('This function solves for either flow, upstream pressure, downstream pressure, diameter, or length; all other inputs must be provided.') fluids-1.0.22/fluids/friction.py0000644000175000017500000045162014302004506016067 0ustar nileshnilesh# -*- coding: utf-8 -*- """Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2016, 2017, 2018, 2019, 2020 Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. This module contains correlations for single-phase friction factor in a range of geometries. It also contains several tables of reported material roughnesses, and some basic functionality showing how to calculate single-phase pressure drop. For reporting bugs, adding feature requests, or submitting pull requests, please use the `GitHub issue tracker `_ or contact the author at Caleb.Andrew.Bell@gmail.com. .. contents:: :local: Friction Factor Interfaces -------------------------- .. autofunction:: friction_factor .. autofunction:: friction_factor_methods .. autofunction:: friction_factor_curved .. autofunction:: friction_factor_curved_methods .. autofunction:: helical_Re_crit Pipe Friction Factor Correlations --------------------------------- .. autofunction:: ft_Crane .. autofunction:: Colebrook .. autofunction:: Clamond .. autofunction:: friction_laminar .. autofunction:: Moody .. autofunction:: Blasius .. autofunction:: von_Karman .. autofunction:: Prandtl_von_Karman_Nikuradse .. autofunction:: Alshul_1952 .. autofunction:: Wood_1966 .. autofunction:: Churchill_1973 .. autofunction:: Eck_1973 .. autofunction:: Jain_1976 .. autofunction:: Swamee_Jain_1976 .. autofunction:: Churchill_1977 .. autofunction:: Chen_1979 .. autofunction:: Round_1980 .. autofunction:: Shacham_1980 .. autofunction:: Barr_1981 .. autofunction:: Zigrang_Sylvester_1 .. autofunction:: Zigrang_Sylvester_2 .. autofunction:: Haaland .. autofunction:: Serghides_1 .. autofunction:: Serghides_2 .. autofunction:: Tsal_1989 .. autofunction:: Manadilli_1997 .. autofunction:: Romeo_2002 .. autofunction:: Sonnad_Goudar_2006 .. autofunction:: Rao_Kumar_2007 .. autofunction:: Buzzelli_2008 .. autofunction:: Avci_Karagoz_2009 .. autofunction:: Papaevangelo_2010 .. autofunction:: Brkic_2011_1 .. autofunction:: Brkic_2011_2 .. autofunction:: Fang_2011 .. autodata:: LAMINAR_TRANSITION_PIPE Curved Pipe Friction Factor Correlations ---------------------------------------- .. autofunction:: helical_laminar_fd_White .. autofunction:: helical_laminar_fd_Mori_Nakayama .. autofunction:: helical_laminar_fd_Schmidt .. autofunction:: helical_turbulent_fd_Schmidt .. autofunction:: helical_turbulent_fd_Mori_Nakayama .. autofunction:: helical_turbulent_fd_Prasad .. autofunction:: helical_turbulent_fd_Czop .. autofunction:: helical_turbulent_fd_Guo .. autofunction:: helical_turbulent_fd_Ju .. autofunction:: helical_turbulent_fd_Srinivasan .. autofunction:: helical_turbulent_fd_Mandal_Nigam .. autofunction:: helical_transition_Re_Seth_Stahel .. autofunction:: helical_transition_Re_Ito .. autofunction:: helical_transition_Re_Kubair_Kuloor .. autofunction:: helical_transition_Re_Kutateladze_Borishanskii .. autofunction:: helical_transition_Re_Schmidt .. autofunction:: helical_transition_Re_Srinivasan Other Geometry Friction Factor Correlations ------------------------------------------- .. autofunction:: friction_plate_Martin_1999 .. autofunction:: friction_plate_Martin_VDI .. autofunction:: friction_plate_Kumar .. autofunction:: friction_plate_Muley_Manglik Experimental Friction Data -------------------------- .. autodata:: oregon_smooth_data Roughness --------- .. autofunction:: material_roughness .. autofunction:: nearest_material_roughness .. autofunction:: roughness_Farshad .. autodata:: HHR_roughness Pressure Drop Calculation ------------------------- .. autofunction:: one_phase_dP .. autofunction:: one_phase_dP_gravitational .. autofunction:: one_phase_dP_dz_acceleration .. autofunction:: one_phase_dP_acceleration Utilities --------- .. autofunction:: transmission_factor """ from __future__ import division from math import sqrt, log, log10, exp, cos, sin, tan, pi, radians, isinf from fluids.constants import inch, g from fluids.numerics import secant, lambertw from fluids.core import Dean, Reynolds __all__ = ['friction_factor', 'friction_factor_methods', 'friction_factor_curved', 'helical_Re_crit', 'friction_factor_curved_methods', 'Colebrook', 'Clamond', 'friction_laminar', 'one_phase_dP', 'one_phase_dP_gravitational', 'one_phase_dP_dz_acceleration', 'one_phase_dP_acceleration', 'transmission_factor', 'material_roughness', 'nearest_material_roughness', 'roughness_Farshad', '_Farshad_roughness', '_roughness', 'HHR_roughness', 'Moody', 'Alshul_1952', 'Wood_1966', 'Churchill_1973', 'Eck_1973', 'Jain_1976', 'Swamee_Jain_1976', 'Churchill_1977', 'Chen_1979', 'Round_1980', 'Shacham_1980', 'Barr_1981', 'Zigrang_Sylvester_1', 'Zigrang_Sylvester_2', 'Haaland', 'Serghides_1', 'Serghides_2', 'Tsal_1989', 'Manadilli_1997', 'Romeo_2002', 'Sonnad_Goudar_2006', 'Rao_Kumar_2007', 'Buzzelli_2008', 'Avci_Karagoz_2009', 'Papaevangelo_2010', 'Brkic_2011_1', 'Brkic_2011_2', 'Fang_2011', 'Blasius', 'von_Karman', 'Prandtl_von_Karman_Nikuradse', 'ft_Crane', 'helical_laminar_fd_White', 'helical_laminar_fd_Mori_Nakayama', 'helical_laminar_fd_Schmidt', 'helical_turbulent_fd_Schmidt', 'helical_turbulent_fd_Mori_Nakayama', 'helical_turbulent_fd_Prasad', 'helical_turbulent_fd_Czop', 'helical_turbulent_fd_Guo', 'helical_turbulent_fd_Ju', 'helical_turbulent_fd_Srinivasan', 'helical_turbulent_fd_Mandal_Nigam', 'helical_transition_Re_Seth_Stahel', 'helical_transition_Re_Ito', 'helical_transition_Re_Kubair_Kuloor', 'helical_transition_Re_Kutateladze_Borishanskii', 'helical_transition_Re_Schmidt', 'helical_transition_Re_Srinivasan', 'LAMINAR_TRANSITION_PIPE', 'oregon_smooth_data', 'friction_plate_Martin_1999', 'friction_plate_Martin_VDI', 'friction_plate_Kumar', 'friction_plate_Muley_Manglik'] fuzzy_match_fun = None def fuzzy_match(name, strings): global fuzzy_match_fun if fuzzy_match_fun is not None: return fuzzy_match_fun(name, strings) try: from fuzzywuzzy import process, fuzz fuzzy_match_fun = lambda name, strings: process.extract(name, strings, limit=10)[0][0] # extractOne is faster but less reliable #fuzzy_match_fun = lambda name, strings: process.extractOne(name, strings, scorer=fuzz.partial_ratio)[0] except ImportError: # pragma: no cover import difflib fuzzy_match_fun = lambda name, strings: difflib.get_close_matches(name, strings, n=1, cutoff=0)[0] return fuzzy_match_fun(name, strings) LAMINAR_TRANSITION_PIPE = 2040. '''Believed to be the most accurate result to date. Accurate to +/- 10. Avila, Kerstin, David Moxey, Alberto de Lozar, Marc Avila, Dwight Barkley, and Björn Hof. "The Onset of Turbulence in Pipe Flow." Science 333, no. 6039 (July 8, 2011): 192-196. doi:10.1126/science.1203223. ''' oregon_Res = [11.21, 20.22, 29.28, 43.19, 57.73, 64.58, 86.05, 113.3, 135.3, 157.5, 179.4, 206.4, 228.0, 270.9, 315.2, 358.9, 402.9, 450.2, 522.5, 583.1, 671.8, 789.8, 891.0, 1013.0, 1197.0, 1300.0, 1390.0, 1669.0, 1994.0, 2227.0, 2554.0, 2868.0, 2903.0, 2926.0, 2955.0, 2991.0, 2997.0, 3047.0, 3080.0, 3264.0, 3980.0, 4835.0, 5959.0, 8162.0, 10900.0, 13650.0, 18990.0, 29430.0, 40850.0, 59220.0, 84760.0, 120000.0, 176000.0, 237700.0, 298200.0, 467800.0, 587500.0, 824200.0, 1050000.0] oregon_fd_smooth = [5.537, 3.492, 2.329, 1.523, 1.173, 0.9863, 0.7826, 0.5709, 0.4815, 0.4182, 0.3655, 0.3237, 0.2884, 0.2433, 0.2077, 0.1834, 0.1656, 0.1475, 0.1245, 0.1126, 0.09917, 0.08501, 0.07722, 0.06707, 0.0588, 0.05328, 0.04815, 0.04304, 0.03739, 0.03405, 0.03091, 0.02804, 0.03182, 0.03846, 0.03363, 0.04124, 0.035, 0.03875, 0.04285, 0.0426, 0.03995, 0.03797, 0.0361, 0.03364, 0.03088, 0.02903, 0.0267, 0.02386, 0.02086, 0.02, 0.01805, 0.01686, 0.01594, 0.01511, 0.01462, 0.01365, 0.01313, 0.01244, 0.01198] oregon_smooth_data = (oregon_Res, oregon_fd_smooth) '''Holds a tuple of experimental results from the smooth pipe flow experiments presented in McKEON, B. J., C. J. SWANSON, M. V. ZAGAROLA, R. J. DONNELLY, and A. J. SMITS. "Friction Factors for Smooth Pipe Flow." Journal of Fluid Mechanics 511 (July 1, 2004): 41-44. doi:10.1017/S0022112004009796. ''' def friction_laminar(Re): r'''Calculates Darcy friction factor for laminar flow, as shown in [1]_ or anywhere else. .. math:: f_d = \frac{64}{Re} Parameters ---------- Re : float Reynolds number, [-] Returns ------- fd : float Darcy friction factor [-] Notes ----- For round pipes, this valid for :math:`Re \approx< 2040`. Results in [2]_ show that this theoretical solution calculates too low of friction factors from Re = 10 and up, with an average deviation of 4%. Examples -------- >>> friction_laminar(128) 0.5 References ---------- .. [1] Cengel, Yunus, and John Cimbala. Fluid Mechanics: Fundamentals and Applications. Boston: McGraw Hill Higher Education, 2006. .. [2] McKEON, B. J., C. J. SWANSON, M. V. ZAGAROLA, R. J. DONNELLY, and A. J. SMITS. "Friction Factors for Smooth Pipe Flow." Journal of Fluid Mechanics 511 (July 1, 2004): 41-44. doi:10.1017/S0022112004009796. ''' return 64./Re def Blasius(Re): r'''Calculates Darcy friction factor according to the Blasius formulation, originally presented in [1]_ and described more recently in [2]_. .. math:: f_d=\frac{0.3164}{Re^{0.25}} Parameters ---------- Re : float Reynolds number, [-] Returns ------- fd : float Darcy friction factor [-] Notes ----- Developed for 3000 < Re < 200000. Examples -------- >>> Blasius(10000) 0.03164 References ---------- .. [1] Blasius, H."Das Aehnlichkeitsgesetz bei Reibungsvorgängen in Flüssigkeiten." In Mitteilungen über Forschungsarbeiten auf dem Gebiete des Ingenieurwesens, edited by Verein deutscher Ingenieure, 1-41. Berlin, Heidelberg: Springer Berlin Heidelberg, 1913. http://rd.springer.com/chapter/10.1007/978-3-662-02239-9_1. .. [2] Hager, W. H. "Blasius: A Life in Research and Education." In Experiments in Fluids, 566–571, 2003. ''' return 0.3164/sqrt(sqrt(Re)) def Colebrook(Re, eD, tol=None): r'''Calculates Darcy friction factor using the Colebrook equation originally published in [1]_. Normally, this function uses an exact solution to the Colebrook equation, derived with a CAS. A numerical can also be used. .. math:: \frac{1}{\sqrt{f}}=-2\log_{10}\left(\frac{\epsilon/D}{3.7} +\frac{2.51}{\text{Re}\sqrt{f}}\right) Parameters ---------- Re : float Reynolds number, [-] eD : float Relative roughness, [-] tol : float, optional None for analytical solution (default); user specified value to use the numerical solution; 0 to use `mpmath` and provide a bit-correct exact solution to the maximum fidelity of the system's `float`; -1 to apply the Clamond solution where appropriate for greater speed (Re > 10), [-] Returns ------- fd : float Darcy friction factor [-] Notes ----- The solution is as follows: .. math:: f_d = \frac{\ln(10)^2\cdot {3.7}^2\cdot{2.51}^2} {\left(\ln(10)\epsilon/D\cdot\text{Re} - 2\cdot 2.51\cdot 3.7\cdot \text{lambertW}\left[\ln(\sqrt{10})\sqrt{ 10^{\left(\frac{\epsilon \text{Re}}{2.51\cdot 3.7D}\right)} \cdot \text{Re}^2/{2.51}^2}\right]\right)} Some effort to optimize this function has been made. The `lambertw` function from scipy is used, and is defined to solve the specific function: .. math:: y = x\exp(x) \text{lambertW}(y) = x This is relatively slow despite its explicit form as it uses the mathematical function `lambertw` which is expensive to compute. For high relative roughness and Reynolds numbers, an OverflowError can be encountered in the solution of this equation. The numerical solution is then used. The numerical solution provides values which are generally within an rtol of 1E-12 to the analytical solution; however, due to the different rounding order, it is possible for them to be as different as rtol 1E-5 or higher. The 1E-5 accuracy regime has been tested and confirmed numerically for hundreds of thousand of points within the region 1E-12 < Re < 1E12 and 0 < eD < 0.1. The numerical solution attempts the secant method using `scipy`'s `newton` solver, and in the event of nonconvergence, attempts the `fsolve` solver as well. An initial guess is provided via the `Clamond` function. The numerical and analytical solution take similar amounts of time; the `mpmath` solution used when `tol=0` is approximately 45 times slower. This function takes approximately 8 us normally. Examples -------- >>> Colebrook(1E5, 1E-4) 0.018513866077471 References ---------- .. [1] Colebrook, C F."Turbulent Flow in Pipes, with Particular Reference to the Transition Region Between the Smooth and Rough Pipe Laws." Journal of the ICE 11, no. 4 (February 1, 1939): 133-156. doi:10.1680/ijoti.1939.13150. ''' if tol == -1: if Re > 10.0: return Clamond(Re, eD, False) else: tol = None elif tol == 0: # from sympy import LambertW, Rational, log, sqrt # Re = Rational(Re) # eD_Re = Rational(eD)*Re # sub = 1/Rational('6.3001')*10**(1/Rational('9.287')*eD_Re)*Re*Re # lambert_term = LambertW(log(sqrt(10))*sqrt(sub)) # den = log(10)*eD_Re - 18.574*lambert_term # return float(log(10)**2*Rational('3.7')**2*Rational('2.51')**2/(den*den)) try: from mpmath import mpf, log, mp, sqrt as sqrtmp from mpmath import lambertw as mp_lambertw except: raise ImportError('For exact solutions, the `mpmath` library is ' 'required') mp.dps = 50 Re = mpf(Re) eD_Re = mpf(eD)*Re sub = 1/mpf('6.3001')*10**(1/mpf('9.287')*eD_Re)*Re*Re lambert_term = mp_lambertw(log(sqrtmp(10))*sqrtmp(sub)) den = log(10)*eD_Re - 18.574*lambert_term return float(log(10)**2*mpf('3.7')**2*mpf('2.51')**2/(den*den)) if tol is None: try: eD_Re = eD*Re # 9.287 = 2.51*3.7; 6.3001 = 2.51**2 # xn = 1/6.3001 = 0.15872763924382155 # 1/9.287 = 0.10767739851405189 sub = 0.15872763924382155*10.0**(0.10767739851405189*eD_Re)*Re*Re if isinf(sub): # Can't continue, need numerical approach raise OverflowError # 1.15129... = log(sqrt(10)) lambert_term = float(lambertw(1.151292546497022950546806896454654633998870849609375*sqrt(sub)).real) # log(10) = 2.302585...; 2*2.51*3.7 = 18.574 # 457.28... = log(10)**2*3.7**2*2.51**2 den = 2.30258509299404590109361379290930926799774169921875*eD_Re - 18.574*lambert_term return 457.28006463294371997108100913465023040771484375/(den*den) except OverflowError: pass # Either user-specified tolerance, or an error in the analytical solution if tol is None: tol = 1e-12 try: fd_guess = Clamond(Re, eD) except ValueError: fd_guess = Blasius(Re) def err(x): # Convert the newton search domain to always positive f_12_inv = 1.0/sqrt(abs(x)) # 0.27027027027027023 = 1/3.7 return f_12_inv + 2.0*log10(eD*0.27027027027027023 + 2.51/Re*f_12_inv) fd = abs(secant(err, fd_guess, xtol=tol)) return fd def Clamond(Re, eD, fast=False): r"""Calculates Darcy friction factor using a solution accurate to almost machine precision. Recommended very strongly. For details of the algorithm, see [1]_. Parameters ---------- Re : float Reynolds number, [-] eD : float Relative roughness, [-] fast : bool, optional If true, performs only one iteration, which gives roughly half the number of decimals of accuracy, [-] Returns ------- fd : float Darcy friction factor [-] Notes ----- This is a highly optimized function, 4 times faster than the solution using the LambertW function, and faster than many other approximations which are much less accurate. The code used here is only slightly modified than that in [1]_, for further performance improvements. For 10 < Re < 1E12, and 0 < eD < 0.01, this equation has been confirmed numerically to provide a solution to the Colebrook equation accurate to an rtol of 1E-9 or better - the same level of accuracy as the analytical solution to the Colebrook equation due to floating point precision. Comparing this to the numerical solution of the Colebrook equation, identical values are given accurate to an rtol of 1E-9 for 10 < Re < 1E100, and 0 < eD < 1 and beyond. However, for values of Re under 10, different answers from the `Colebrook` equation appear and then quickly a ValueError is raised. Examples -------- >>> Clamond(1E5, 1E-4) 0.01851386607747165 References ---------- .. [1] Clamond, Didier. "Efficient Resolution of the Colebrook Equation." Industrial & Engineering Chemistry Research 48, no. 7 (April 1, 2009): 3665-71. doi:10.1021/ie801626g. http://math.unice.fr/%7Edidierc/DidPublis/ICR_2009.pdf """ X1 = eD*Re*0.1239681863354175460160858261654858382699 # (log(10)/18.574).evalf(40) X2 = log(Re) - 0.7793974884556819406441139701653776731705 # log(log(10)/5.02).evalf(40) F = X2 - 0.2 X1F = X1 + F X1F1 = 1. + X1F E = (log(X1F) - 0.2)/(X1F1) F = F - (X1F1 + 0.5*E)*E*(X1F)/(X1F1 + E*(1. + (1.0/3.0)*E)) if not fast: X1F = X1 + F X1F1 = 1. + X1F E = (log(X1F) + F - X2)/(X1F1) b = (X1F1 + E*(1. + 1.0/3.0*E)) F = b/(b*F - ((X1F1 + 0.5*E)*E*(X1F))) return 1.325474527619599502640416597148504422899*(F*F) # ((0.5*log(10))**2).evalf(40) return 1.325474527619599502640416597148504422899/(F*F) # ((0.5*log(10))**2).evalf(40) def Moody(Re, eD): r'''Calculates Darcy friction factor using the method in Moody (1947) as shown in [1]_ and originally in [2]_. .. math:: f_f = 1.375\times 10^{-3}\left[1+\left(2\times10^4\frac{\epsilon}{D} + \frac{10^6}{Re}\right)^{1/3}\right] Parameters ---------- Re : float Reynolds number, [-] eD : float Relative roughness, [-] Returns ------- fd : float Darcy friction factor [-] Notes ----- Range is Re >= 4E3 and Re <= 1E8; eD >= 0 < 0.01. Examples -------- >>> Moody(1E5, 1E-4) 0.01809185666808665 References ---------- .. [1] Winning, H. and T. Coole. "Explicit Friction Factor Accuracy and Computational Efficiency for Turbulent Flow in Pipes." Flow, Turbulence and Combustion 90, no. 1 (January 1, 2013): 1-27. doi:10.1007/s10494-012-9419-7 .. [2] Moody, L.F.: An approximate formula for pipe friction factors. Trans. Am. Soc. Mech. Eng. 69,1005-1006 (1947) ''' return 4*(1.375E-3*(1 + (2E4*eD + 1E6/Re)**(1/3.))) def Alshul_1952(Re, eD): r'''Calculates Darcy friction factor using the method in Alshul (1952) as shown in [1]_. .. math:: f_d = 0.11\left( \frac{68}{Re} + \frac{\epsilon}{D}\right)^{0.25} Parameters ---------- Re : float Reynolds number, [-] eD : float Relative roughness, [-] Returns ------- fd : float Darcy friction factor [-] Notes ----- No range of validity specified for this equation. Examples -------- >>> Alshul_1952(1E5, 1E-4) 0.018382997825686878 References ---------- .. [1] Winning, H. and T. Coole. "Explicit Friction Factor Accuracy and Computational Efficiency for Turbulent Flow in Pipes." Flow, Turbulence and Combustion 90, no. 1 (January 1, 2013): 1-27. doi:10.1007/s10494-012-9419-7 ''' return 0.11*sqrt(sqrt(68/Re + eD)) def Wood_1966(Re, eD): r'''Calculates Darcy friction factor using the method in Wood (1966) [2]_ as shown in [1]_. .. math:: f_d = 0.094(\frac{\epsilon}{D})^{0.225} + 0.53(\frac{\epsilon}{D}) + 88(\frac{\epsilon}{D})^{0.4}Re^{-A_1} .. math:: A_1 = 1.62(\frac{\epsilon}{D})^{0.134} Parameters ---------- Re : float Reynolds number, [-] eD : float Relative roughness, [-] Returns ------- fd : float Darcy friction factor [-] Notes ----- Range is 4E3 <= Re <= 5E7; 1E-5 <= eD <= 4E-2. Examples -------- >>> Wood_1966(1E5, 1E-4) 0.021587570560090762 References ---------- .. [1] Winning, H. and T. Coole. "Explicit Friction Factor Accuracy and Computational Efficiency for Turbulent Flow in Pipes." Flow, Turbulence and Combustion 90, no. 1 (January 1, 2013): 1-27. doi:10.1007/s10494-012-9419-7 .. [2] Wood, D.J.: An Explicit Friction Factor Relationship, vol. 60. Civil Engineering American Society of Civil Engineers (1966) ''' A1 = 1.62*eD**0.134 return 0.094*eD**0.225 + 0.53*eD +88*eD**0.4*Re**-A1 def Churchill_1973(Re, eD): r'''Calculates Darcy friction factor using the method in Churchill (1973) [2]_ as shown in [1]_ .. math:: \frac{1}{\sqrt{f_d}} = -2\log_{10}\left[\frac{\epsilon}{3.7D} + (\frac{7}{Re})^{0.9}\right] Parameters ---------- Re : float Reynolds number, [-] eD : float Relative roughness, [-] Returns ------- fd : float Darcy friction factor [-] Notes ----- No range of validity specified for this equation. Examples -------- >>> Churchill_1973(1E5, 1E-4) 0.01846708694482294 References ---------- .. [1] Winning, H. and T. Coole. "Explicit Friction Factor Accuracy and Computational Efficiency for Turbulent Flow in Pipes." Flow, Turbulence and Combustion 90, no. 1 (January 1, 2013): 1-27. doi:10.1007/s10494-012-9419-7 .. [2] Churchill, Stuart W. "Empirical Expressions for the Shear Stress in Turbulent Flow in Commercial Pipe." AIChE Journal 19, no. 2 (March 1, 1973): 375-76. doi:10.1002/aic.690190228. ''' return (-2*log10(eD/3.7 + (7./Re)**0.9))**-2 def Eck_1973(Re, eD): r'''Calculates Darcy friction factor using the method in Eck (1973) [2]_ as shown in [1]_. .. math:: \frac{1}{\sqrt{f_d}} = -2\log_{10}\left[\frac{\epsilon}{3.715D} + \frac{15}{Re}\right] Parameters ---------- Re : float Reynolds number, [-] eD : float Relative roughness, [-] Returns ------- fd : float Darcy friction factor [-] Notes ----- No range of validity specified for this equation. Examples -------- >>> Eck_1973(1E5, 1E-4) 0.01775666973488564 References ---------- .. [1] Winning, H. and T. Coole. "Explicit Friction Factor Accuracy and Computational Efficiency for Turbulent Flow in Pipes." Flow, Turbulence and Combustion 90, no. 1 (January 1, 2013): 1-27. doi:10.1007/s10494-012-9419-7 .. [2] Eck, B.: Technische Stromungslehre. Springer, New York (1973) ''' return (-2*log10(eD/3.715 + 15/Re))**-2 def Jain_1976(Re, eD): r'''Calculates Darcy friction factor using the method in Jain (1976) [2]_ as shown in [1]_. .. math:: \frac{1}{\sqrt{f_f}} = 2.28 - 4\log_{10}\left[ \frac{\epsilon}{D} + \left(\frac{29.843}{Re}\right)^{0.9}\right] Parameters ---------- Re : float Reynolds number, [-] eD : float Relative roughness, [-] Returns ------- fd : float Darcy friction factor [-] Notes ----- Range is 5E3 <= Re <= 1E7; 4E-5 <= eD <= 5E-2. Examples -------- >>> Jain_1976(1E5, 1E-4) 0.018436560312693327 References ---------- .. [1] Winning, H. and T. Coole. "Explicit Friction Factor Accuracy and Computational Efficiency for Turbulent Flow in Pipes." Flow, Turbulence and Combustion 90, no. 1 (January 1, 2013): 1-27. doi:10.1007/s10494-012-9419-7 .. [2] Jain, Akalank K."Accurate Explicit Equation for Friction Factor." Journal of the Hydraulics Division 102, no. 5 (May 1976): 674-77. ''' ff = (2.28-4*log10(eD+(29.843/Re)**0.9))**-2 return 4*ff def Swamee_Jain_1976(Re, eD): r'''Calculates Darcy friction factor using the method in Swamee and Jain (1976) [2]_ as shown in [1]_. .. math:: \frac{1}{\sqrt{f_f}} = -4\log_{10}\left[\left(\frac{6.97}{Re}\right)^{0.9} + (\frac{\epsilon}{3.7D})\right] Parameters ---------- Re : float Reynolds number, [-] eD : float Relative roughness, [-] Returns ------- fd : float Darcy friction factor [-] Notes ----- Range is 5E3 <= Re <= 1E8; 1E-6 <= eD <= 5E-2. Examples -------- >>> Swamee_Jain_1976(1E5, 1E-4) 0.018452424431901808 References ---------- .. [1] Winning, H. and T. Coole. "Explicit Friction Factor Accuracy and Computational Efficiency for Turbulent Flow in Pipes." Flow, Turbulence and Combustion 90, no. 1 (January 1, 2013): 1-27. doi:10.1007/s10494-012-9419-7 .. [2] Swamee, Prabhata K., and Akalank K. Jain."Explicit Equations for Pipe-Flow Problems." Journal of the Hydraulics Division 102, no. 5 (May 1976): 657-664. ''' ff = (-4*log10((6.97/Re)**0.9 + eD/3.7))**-2 return 4*ff def Churchill_1977(Re, eD): r'''Calculates Darcy friction factor using the method in Churchill and (1977) [2]_ as shown in [1]_. .. math:: f_f = 2\left[(\frac{8}{Re})^{12} + (A_2 + A_3)^{-1.5}\right]^{1/12} .. math:: A_2 = \left\{2.457\ln\left[(\frac{7}{Re})^{0.9} + 0.27\frac{\epsilon}{D}\right]\right\}^{16} .. math:: A_3 = \left( \frac{37530}{Re}\right)^{16} Parameters ---------- Re : float Reynolds number, [-] eD : float Relative roughness, [-] Returns ------- fd : float Darcy friction factor [-] Notes ----- No range of validity specified for this equation. Examples -------- >>> Churchill_1977(1E5, 1E-4) 0.018462624566280075 References ---------- .. [1] Winning, H. and T. Coole. "Explicit Friction Factor Accuracy and Computational Efficiency for Turbulent Flow in Pipes." Flow, Turbulence and Combustion 90, no. 1 (January 1, 2013): 1-27. doi:10.1007/s10494-012-9419-7 .. [2] Churchill, S.W.: Friction factor equation spans all fluid flow regimes. Chem. Eng. J. 91, 91-92 (1977) ''' A3 = (37530/Re)**16 A2 = (2.457*log((7./Re)**0.9 + 0.27*eD))**16 ff = 2*((8/Re)**12 + 1/(A2+A3)**1.5)**(1/12.) return 4*ff def Chen_1979(Re, eD): r'''Calculates Darcy friction factor using the method in Chen (1979) [2]_ as shown in [1]_. .. math:: \frac{1}{\sqrt{f_f}} = -4\log_{10}\left[\frac{\epsilon}{3.7065D} -\frac{5.0452}{Re}\log_{10} A_4\right] .. math:: A_4 = \frac{(\epsilon/D)^{1.1098}}{2.8257} + \left(\frac{7.149}{Re}\right)^{0.8981} Parameters ---------- Re : float Reynolds number, [-] eD : float Relative roughness, [-] Returns ------- fd : float Darcy friction factor [-] Notes ----- Range is 4E3 <= Re <= 4E8; 1E-7 <= eD <= 5E-2. Examples -------- >>> Chen_1979(1E5, 1E-4) 0.018552817507472126 References ---------- .. [1] Winning, H. and T. Coole. "Explicit Friction Factor Accuracy and Computational Efficiency for Turbulent Flow in Pipes." Flow, Turbulence and Combustion 90, no. 1 (January 1, 2013): 1-27. doi:10.1007/s10494-012-9419-7 .. [2] Chen, Ning Hsing. "An Explicit Equation for Friction Factor in Pipe." Industrial & Engineering Chemistry Fundamentals 18, no. 3 (August 1, 1979): 296-97. doi:10.1021/i160071a019. ''' A4 = eD**1.1098/2.8257 + (7.149/Re)**0.8981 ff = (-4*log10(eD/3.7065 - 5.0452/Re*log10(A4)))**-2 return 4*ff def Round_1980(Re, eD): r'''Calculates Darcy friction factor using the method in Round (1980) [2]_ as shown in [1]_. .. math:: \frac{1}{\sqrt{f_f}} = -3.6\log_{10}\left[\frac{Re}{0.135Re \frac{\epsilon}{D}+6.5}\right] Parameters ---------- Re : float Reynolds number, [-] eD : float Relative roughness, [-] Returns ------- fd : float Darcy friction factor [-] Notes ----- Range is 4E3 <= Re <= 4E8; 0 <= eD <= 5E-2. Examples -------- >>> Round_1980(1E5, 1E-4) 0.01831475391244354 References ---------- .. [1] Winning, H. and T. Coole. "Explicit Friction Factor Accuracy and Computational Efficiency for Turbulent Flow in Pipes." Flow, Turbulence and Combustion 90, no. 1 (January 1, 2013): 1-27. doi:10.1007/s10494-012-9419-7 .. [2] Round, G. F."An Explicit Approximation for the Friction Factor-Reynolds Number Relation for Rough and Smooth Pipes." The Canadian Journal of Chemical Engineering 58, no. 1 (February 1, 1980): 122-23. doi:10.1002/cjce.5450580119. ''' ff = (-3.6*log10(Re/(0.135*Re*eD+6.5)))**-2 return 4*ff def Shacham_1980(Re, eD): r'''Calculates Darcy friction factor using the method in Shacham (1980) [2]_ as shown in [1]_. .. math:: \frac{1}{\sqrt{f_f}} = -4\log_{10}\left[\frac{\epsilon}{3.7D} - \frac{5.02}{Re} \log_{10}\left(\frac{\epsilon}{3.7D} + \frac{14.5}{Re}\right)\right] Parameters ---------- Re : float Reynolds number, [-] eD : float Relative roughness, [-] Returns ------- fd : float Darcy friction factor [-] Notes ----- Range is 4E3 <= Re <= 4E8 Examples -------- >>> Shacham_1980(1E5, 1E-4) 0.01860641215097828 References ---------- .. [1] Winning, H. and T. Coole. "Explicit Friction Factor Accuracy and Computational Efficiency for Turbulent Flow in Pipes." Flow, Turbulence and Combustion 90, no. 1 (January 1, 2013): 1-27. doi:10.1007/s10494-012-9419-7 .. [2] Shacham, M. "Comments on: 'An Explicit Equation for Friction Factor in Pipe.'" Industrial & Engineering Chemistry Fundamentals 19, no. 2 (May 1, 1980): 228-228. doi:10.1021/i160074a019. ''' ff = (-4*log10(eD/3.7 - 5.02/Re*log10(eD/3.7 + 14.5/Re)))**-2 return 4*ff def Barr_1981(Re, eD): r'''Calculates Darcy friction factor using the method in Barr (1981) [2]_ as shown in [1]_. .. math:: \frac{1}{\sqrt{f_d}} = -2\log_{10}\left\{\frac{\epsilon}{3.7D} + \frac{4.518\log_{10}(\frac{Re}{7})}{Re\left[1+\frac{Re^{0.52}}{29} \left(\frac{\epsilon}{D}\right)^{0.7}\right]}\right\} Parameters ---------- Re : float Reynolds number, [-] eD : float Relative roughness, [-] Returns ------- fd : float Darcy friction factor [-] Notes ----- No range of validity specified for this equation. Examples -------- >>> Barr_1981(1E5, 1E-4) 0.01849836032779929 References ---------- .. [1] Winning, H. and T. Coole. "Explicit Friction Factor Accuracy and Computational Efficiency for Turbulent Flow in Pipes." Flow, Turbulence and Combustion 90, no. 1 (January 1, 2013): 1-27. doi:10.1007/s10494-012-9419-7 .. [2] Barr, Dih, and Colebrook White."Technical Note. Solutions Of The Colebrook-White Function For Resistance To Uniform Turbulent Flow." ICE Proceedings 71, no. 2 (January 6, 1981): 529-35. doi:10.1680/iicep.1981.1895. ''' fd = (-2*log10(eD/3.7 + 4.518*log10(Re/7.)/(Re*(1+Re**0.52/29*eD**0.7))))**-2 return fd def Zigrang_Sylvester_1(Re, eD): r'''Calculates Darcy friction factor using the method in Zigrang and Sylvester (1982) [2]_ as shown in [1]_. .. math:: \frac{1}{\sqrt{f_f}} = -4\log_{10}\left[\frac{\epsilon}{3.7D} - \frac{5.02}{Re}\log_{10} A_5\right] A_5 = \frac{\epsilon}{3.7D} + \frac{13}{Re} Parameters ---------- Re : float Reynolds number, [-] eD : float Relative roughness, [-] Returns ------- fd : float Darcy friction factor [-] Notes ----- Range is 4E3 <= Re <= 1E8; 4E-5 <= eD <= 5E-2. Examples -------- >>> Zigrang_Sylvester_1(1E5, 1E-4) 0.018646892425980794 References ---------- .. [1] Winning, H. and T. Coole. "Explicit Friction Factor Accuracy and Computational Efficiency for Turbulent Flow in Pipes." Flow, Turbulence and Combustion 90, no. 1 (January 1, 2013): 1-27. doi:10.1007/s10494-012-9419-7 .. [2] Zigrang, D. J., and N. D. Sylvester."Explicit Approximations to the Solution of Colebrook's Friction Factor Equation." AIChE Journal 28, no. 3 (May 1, 1982): 514-15. doi:10.1002/aic.690280323. ''' A5 = eD/3.7 + 13/Re ff = (-4*log10(eD/3.7 - 5.02/Re*log10(A5)))**-2 return 4*ff def Zigrang_Sylvester_2(Re, eD): r'''Calculates Darcy friction factor using the second method in Zigrang and Sylvester (1982) [2]_ as shown in [1]_. .. math:: \frac{1}{\sqrt{f_f}} = -4\log_{10}\left[\frac{\epsilon}{3.7D} - \frac{5.02}{Re}\log_{10} A_6\right] .. math:: A_6 = \frac{\epsilon}{3.7D} - \frac{5.02}{Re}\log_{10} A_5 .. math:: A_5 = \frac{\epsilon}{3.7D} + \frac{13}{Re} Parameters ---------- Re : float Reynolds number, [-] eD : float Relative roughness, [-] Returns ------- fd : float Darcy friction factor [-] Notes ----- Range is 4E3 <= Re <= 1E8; 4E-5 <= eD <= 5E-2 Examples -------- >>> Zigrang_Sylvester_2(1E5, 1E-4) 0.01850021312358548 References ---------- .. [1] Winning, H. and T. Coole. "Explicit Friction Factor Accuracy and Computational Efficiency for Turbulent Flow in Pipes." Flow, Turbulence and Combustion 90, no. 1 (January 1, 2013): 1-27. doi:10.1007/s10494-012-9419-7 .. [2] Zigrang, D. J., and N. D. Sylvester."Explicit Approximations to the Solution of Colebrook's Friction Factor Equation." AIChE Journal 28, no. 3 (May 1, 1982): 514-15. doi:10.1002/aic.690280323. ''' A5 = eD/3.7 + 13/Re A6 = eD/3.7 - 5.02/Re*log10(A5) ff = (-4*log10(eD/3.7 - 5.02/Re*log10(A6)))**-2 return 4*ff def Haaland(Re, eD): r'''Calculates Darcy friction factor using the method in Haaland (1983) [2]_ as shown in [1]_. .. math:: f_f = \left(-1.8\log_{10}\left[\left(\frac{\epsilon/D}{3.7} \right)^{1.11} + \frac{6.9}{Re}\right]\right)^{-2} Parameters ---------- Re : float Reynolds number, [-] eD : float Relative roughness, [-] Returns ------- fd : float Darcy friction factor [-] Notes ----- Range is 4E3 <= Re <= 1E8; 1E-6 <= eD <= 5E-2 Examples -------- >>> Haaland(1E5, 1E-4) 0.018265053014793857 References ---------- .. [1] Winning, H. and T. Coole. "Explicit Friction Factor Accuracy and Computational Efficiency for Turbulent Flow in Pipes." Flow, Turbulence and Combustion 90, no. 1 (January 1, 2013): 1-27. doi:10.1007/s10494-012-9419-7 .. [2] Haaland, S. E."Simple and Explicit Formulas for the Friction Factor in Turbulent Pipe Flow." Journal of Fluids Engineering 105, no. 1 (March 1, 1983): 89-90. doi:10.1115/1.3240948. ''' ff = (-3.6*log10(6.9/Re +(eD/3.7)**1.11))**-2 return 4*ff def Serghides_1(Re, eD): r'''Calculates Darcy friction factor using the method in Serghides (1984) [2]_ as shown in [1]_. .. math:: f=\left[A-\frac{(B-A)^2}{C-2B+A}\right]^{-2} .. math:: A=-2\log_{10}\left[\frac{\epsilon/D}{3.7}+\frac{12}{Re}\right] .. math:: B=-2\log_{10}\left[\frac{\epsilon/D}{3.7}+\frac{2.51A}{Re}\right] .. math:: C=-2\log_{10}\left[\frac{\epsilon/D}{3.7}+\frac{2.51B}{Re}\right] Parameters ---------- Re : float Reynolds number, [-] eD : float Relative roughness, [-] Returns ------- fd : float Darcy friction factor [-] Notes ----- No range of validity specified for this equation. Examples -------- >>> Serghides_1(1E5, 1E-4) 0.01851358983180063 References ---------- .. [1] Winning, H. and T. Coole. "Explicit Friction Factor Accuracy and Computational Efficiency for Turbulent Flow in Pipes." Flow, Turbulence and Combustion 90, no. 1 (January 1, 2013): 1-27. doi:10.1007/s10494-012-9419-7 .. [2] Serghides T.K (1984)."Estimate friction factor accurately" Chemical Engineering, Vol. 91(5), pp. 63-64. ''' A = -2*log10(eD/3.7 + 12/Re) B = -2*log10(eD/3.7 + 2.51*A/Re) C = -2*log10(eD/3.7 + 2.51*B/Re) return (A - (B-A)**2/(C-2*B + A))**-2 def Serghides_2(Re, eD): r'''Calculates Darcy friction factor using the method in Serghides (1984) [2]_ as shown in [1]_. .. math:: f_d = \left[ 4.781 - \frac{(A - 4.781)^2} {B-2A+4.781}\right]^{-2} .. math:: A=-2\log_{10}\left[\frac{\epsilon/D}{3.7}+\frac{12}{Re}\right] .. math:: B=-2\log_{10}\left[\frac{\epsilon/D}{3.7}+\frac{2.51A}{Re}\right] Parameters ---------- Re : float Reynolds number, [-] eD : float Relative roughness, [-] Returns ------- fd : float Darcy friction factor [-] Notes ----- No range of validity specified for this equation. Examples -------- >>> Serghides_2(1E5, 1E-4) 0.018486377560664482 References ---------- .. [1] Winning, H. and T. Coole. "Explicit Friction Factor Accuracy and Computational Efficiency for Turbulent Flow in Pipes." Flow, Turbulence and Combustion 90, no. 1 (January 1, 2013): 1-27. doi:10.1007/s10494-012-9419-7 .. [2] Serghides T.K (1984)."Estimate friction factor accurately" Chemical Engineering, Vol. 91(5), pp. 63-64. ''' A = -2*log10(eD/3.7 + 12/Re) B = -2*log10(eD/3.7 + 2.51*A/Re) return (4.781 - (A - 4.781)**2/(B - 2*A + 4.781))**-2 def Tsal_1989(Re, eD): r'''Calculates Darcy friction factor using the method in Tsal (1989) [2]_ as shown in [1]_. .. math:: A = 0.11(\frac{68}{Re} + \frac{\epsilon}{D})^{0.25} if :math:`A >= 0.018` then `fd = A`; if :math:`A < 0.018` then :math:`fd = 0.0028 + 0.85 A`. Parameters ---------- Re : float Reynolds number, [-] eD : float Relative roughness, [-] Returns ------- fd : float Darcy friction factor [-] Notes ----- Range is 4E3 <= Re <= 1E8; 0 <= eD <= 5E-2 Examples -------- >>> Tsal_1989(1E5, 1E-4) 0.018382997825686878 References ---------- .. [1] Winning, H. and T. Coole. "Explicit Friction Factor Accuracy and Computational Efficiency for Turbulent Flow in Pipes." Flow, Turbulence and Combustion 90, no. 1 (January 1, 2013): 1-27. doi:10.1007/s10494-012-9419-7 .. [2] Tsal, R.J.: Altshul-Tsal friction factor equation. Heat-Piping-Air Cond. 8, 30-45 (1989) ''' A = 0.11*sqrt(sqrt(68/Re + eD)) if A >= 0.018: return A else: return 0.0028 + 0.85*A def Manadilli_1997(Re, eD): r'''Calculates Darcy friction factor using the method in Manadilli (1997) [2]_ as shown in [1]_. .. math:: \frac{1}{\sqrt{f_d}} = -2\log_{10}\left[\frac{\epsilon}{3.7D} + \frac{95}{Re^{0.983}} - \frac{96.82}{Re}\right] Parameters ---------- Re : float Reynolds number, [-] eD : float Relative roughness, [-] Returns ------- fd : float Darcy friction factor [-] Notes ----- Range is 5.245E3 <= Re <= 1E8; 0 <= eD <= 5E-2 Examples -------- >>> Manadilli_1997(1E5, 1E-4) 0.01856964649724108 References ---------- .. [1] Winning, H. and T. Coole. "Explicit Friction Factor Accuracy and Computational Efficiency for Turbulent Flow in Pipes." Flow, Turbulence and Combustion 90, no. 1 (January 1, 2013): 1-27. doi:10.1007/s10494-012-9419-7 .. [2] Manadilli, G.: Replace implicit equations with signomial functions. Chem. Eng. 104, 129 (1997) ''' return (-2*log10(eD/3.7 + 95/Re**0.983 - 96.82/Re))**-2 def Romeo_2002(Re, eD): r'''Calculates Darcy friction factor using the method in Romeo (2002) [2]_ as shown in [1]_. .. math:: \frac{1}{\sqrt{f_d}} = -2\log_{10}\left\{\frac{\epsilon}{3.7065D}\times \frac{5.0272}{Re}\times\log_{10}\left[\frac{\epsilon}{3.827D} - \frac{4.567}{Re}\times\log_{10}\left(\frac{\epsilon}{7.7918D}^{0.9924} + \left(\frac{5.3326}{208.815+Re}\right)^{0.9345}\right)\right]\right\} Parameters ---------- Re : float Reynolds number, [-] eD : float Relative roughness, [-] Returns ------- fd : float Darcy friction factor [-] Notes ----- Range is 3E3 <= Re <= 1.5E8; 0 <= eD <= 5E-2 Examples -------- >>> Romeo_2002(1E5, 1E-4) 0.018530291219676177 References ---------- .. [1] Winning, H. and T. Coole. "Explicit Friction Factor Accuracy and Computational Efficiency for Turbulent Flow in Pipes." Flow, Turbulence and Combustion 90, no. 1 (January 1, 2013): 1-27. doi:10.1007/s10494-012-9419-7 .. [2] Romeo, Eva, Carlos Royo, and Antonio Monzon."Improved Explicit Equations for Estimation of the Friction Factor in Rough and Smooth Pipes." Chemical Engineering Journal 86, no. 3 (April 28, 2002): 369-74. doi:10.1016/S1385-8947(01)00254-6. ''' fd = (-2*log10(eD/3.7065-5.0272/Re*log10(eD/3.827-4.567/Re*log10((eD/7.7918)**0.9924+(5.3326/(208.815+Re))**0.9345))))**-2 return fd def Sonnad_Goudar_2006(Re, eD): r'''Calculates Darcy friction factor using the method in Sonnad and Goudar (2006) [2]_ as shown in [1]_. .. math:: \frac{1}{\sqrt{f_d}} = 0.8686\ln\left(\frac{0.4587Re}{S^{S/(S+1)}}\right) .. math:: S = 0.1240\times\frac{\epsilon}{D}\times Re + \ln(0.4587Re) Parameters ---------- Re : float Reynolds number, [-] eD : float Relative roughness, [-] Returns ------- fd : float Darcy friction factor [-] Notes ----- Range is 4E3 <= Re <= 1E8; 1E-6 <= eD <= 5E-2 Examples -------- >>> Sonnad_Goudar_2006(1E5, 1E-4) 0.0185971269898162 References ---------- .. [1] Winning, H. and T. Coole. "Explicit Friction Factor Accuracy and Computational Efficiency for Turbulent Flow in Pipes." Flow, Turbulence and Combustion 90, no. 1 (January 1, 2013): 1-27. doi:10.1007/s10494-012-9419-7 .. [2] Travis, Quentin B., and Larry W. Mays."Relationship between Hazen-William and Colebrook-White Roughness Values." Journal of Hydraulic Engineering 133, no. 11 (November 2007): 1270-73. doi:10.1061/(ASCE)0733-9429(2007)133:11(1270). ''' S = 0.124*eD*Re + log(0.4587*Re) return (.8686*log(.4587*Re/S**(S/(S+1))))**-2 def Rao_Kumar_2007(Re, eD): r'''Calculates Darcy friction factor using the method in Rao and Kumar (2007) [2]_ as shown in [1]_. .. math:: \frac{1}{\sqrt{f_d}} = 2\log_{10}\left(\frac{(2\frac{\epsilon}{D})^{-1}} {\left(\frac{0.444 + 0.135Re}{Re}\right)\beta}\right) .. math:: \beta = 1 - 0.55\exp(-0.33\ln\left[\frac{Re}{6.5}\right]^2) Parameters ---------- Re : float Reynolds number, [-] eD : float Relative roughness, [-] Returns ------- fd : float Darcy friction factor [-] Notes ----- No range of validity specified for this equation. This equation is fit to original experimental friction factor data. Accordingly, this equation should not be used unless appropriate consideration is given. Examples -------- >>> Rao_Kumar_2007(1E5, 1E-4) 0.01197759334600925 References ---------- .. [1] Winning, H. and T. Coole. "Explicit Friction Factor Accuracy and Computational Efficiency for Turbulent Flow in Pipes." Flow, Turbulence and Combustion 90, no. 1 (January 1, 2013): 1-27. doi:10.1007/s10494-012-9419-7 .. [2] Rao, A.R., Kumar, B.: Friction factor for turbulent pipe flow. Division of Mechanical Sciences, Civil Engineering Indian Institute of Science Bangalore, India ID Code 9587 (2007) ''' beta = 1 - 0.55*exp(-0.33*(log(Re/6.5))**2) return (2*log10((2*eD)**-1/beta/((0.444+0.135*Re)/Re)))**-2 def Buzzelli_2008(Re, eD): r'''Calculates Darcy friction factor using the method in Buzzelli (2008) [2]_ as shown in [1]_. .. math:: \frac{1}{\sqrt{f_d}} = B_1 - \left[\frac{B_1 +2\log_{10}(\frac{B_2}{Re})} {1 + \frac{2.18}{B_2}}\right] .. math:: B_1 = \frac{0.774\ln(Re)-1.41}{1+1.32\sqrt{\frac{\epsilon}{D}}} .. math:: B_2 = \frac{\epsilon}{3.7D}Re+2.51\times B_1 Parameters ---------- Re : float Reynolds number, [-] eD : float Relative roughness, [-] Returns ------- fd : float Darcy friction factor [-] Notes ----- No range of validity specified for this equation. Examples -------- >>> Buzzelli_2008(1E5, 1E-4) 0.018513948401365277 References ---------- .. [1] Winning, H. and T. Coole. "Explicit Friction Factor Accuracy and Computational Efficiency for Turbulent Flow in Pipes." Flow, Turbulence and Combustion 90, no. 1 (January 1, 2013): 1-27. doi:10.1007/s10494-012-9419-7 .. [2] Buzzelli, D.: Calculating friction in one step. Mach. Des. 80, 54-55 (2008) ''' B1 = (.774*log(Re)-1.41)/(1.0 + 1.32*sqrt(eD)) B2 = eD/3.7*Re + 2.51*B1 return (B1- (B1+2*log10(B2/Re))/(1+2.18/B2))**-2 def Avci_Karagoz_2009(Re, eD): r'''Calculates Darcy friction factor using the method in Avci and Karagoz (2009) [2]_ as shown in [1]_. .. math:: f_D = \frac{6.4} {\left\{\ln(Re) - \ln\left[ 1 + 0.01Re\frac{\epsilon}{D}\left(1 + 10(\frac{\epsilon}{D})^{0.5} \right)\right]\right\}^{2.4}} Parameters ---------- Re : float Reynolds number, [-] eD : float Relative roughness, [-] Returns ------- fd : float Darcy friction factor [-] Notes ----- No range of validity specified for this equation. Examples -------- >>> Avci_Karagoz_2009(1E5, 1E-4) 0.01857058061066499 References ---------- .. [1] Winning, H. and T. Coole. "Explicit Friction Factor Accuracy and Computational Efficiency for Turbulent Flow in Pipes." Flow, Turbulence and Combustion 90, no. 1 (January 1, 2013): 1-27. doi:10.1007/s10494-012-9419-7 .. [2] Avci, Atakan, and Irfan Karagoz."A Novel Explicit Equation for Friction Factor in Smooth and Rough Pipes." Journal of Fluids Engineering 131, no. 6 (2009): 061203. doi:10.1115/1.3129132. ''' return 6.4*(log(Re) - log(1 + 0.01*Re*eD*(1+10*sqrt(eD))))**-2.4 def Papaevangelo_2010(Re, eD): r'''Calculates Darcy friction factor using the method in Papaevangelo (2010) [2]_ as shown in [1]_. .. math:: f_D = \frac{0.2479 - 0.0000947(7-\ln Re)^4}{\left[\log_{10}\left (\frac{\epsilon}{3.615D} + \frac{7.366}{Re^{0.9142}}\right)\right]^2} Parameters ---------- Re : float Reynolds number, [-] eD : float Relative roughness, [-] Returns ------- fd : float Darcy friction factor [-] Notes ----- Range is 1E4 <= Re <= 1E7; 1E-5 <= eD <= 1E-3 Examples -------- >>> Papaevangelo_2010(1E5, 1E-4) 0.015685600818488177 References ---------- .. [1] Winning, H. and T. Coole. "Explicit Friction Factor Accuracy and Computational Efficiency for Turbulent Flow in Pipes." Flow, Turbulence and Combustion 90, no. 1 (January 1, 2013): 1-27. doi:10.1007/s10494-012-9419-7 .. [2] Papaevangelou, G., Evangelides, C., Tzimopoulos, C.: A New Explicit Relation for the Friction Factor Coefficient in the Darcy-Weisbach Equation, pp. 166-172. Protection and Restoration of the Environment Corfu, Greece: University of Ioannina Greece and Stevens Institute of Technology New Jersey (2010) ''' return (0.2479-0.0000947*(7-log(Re))**4)/(log10(eD/3.615 + 7.366/Re**0.9142))**2 def Brkic_2011_1(Re, eD): r'''Calculates Darcy friction factor using the method in Brkic (2011) [2]_ as shown in [1]_. .. math:: f_d = [-2\log_{10}(10^{-0.4343\beta} + \frac{\epsilon}{3.71D})]^{-2} .. math:: \beta = \ln \frac{Re}{1.816\ln\left(\frac{1.1Re}{\ln(1+1.1Re)}\right)} Parameters ---------- Re : float Reynolds number, [-] eD : float Relative roughness, [-] Returns ------- fd : float Darcy friction factor [-] Notes ----- No range of validity specified for this equation. Examples -------- >>> Brkic_2011_1(1E5, 1E-4) 0.01812455874141297 References ---------- .. [1] Winning, H. and T. Coole. "Explicit Friction Factor Accuracy and Computational Efficiency for Turbulent Flow in Pipes." Flow, Turbulence and Combustion 90, no. 1 (January 1, 2013): 1-27. doi:10.1007/s10494-012-9419-7 .. [2] Brkic, Dejan."Review of Explicit Approximations to the Colebrook Relation for Flow Friction." Journal of Petroleum Science and Engineering 77, no. 1 (April 2011): 34-48. doi:10.1016/j.petrol.2011.02.006. ''' beta = log(Re/(1.816*log(1.1*Re/log(1+1.1*Re)))) return (-2*log10(10**(-0.4343*beta)+eD/3.71))**-2 def Brkic_2011_2(Re, eD): r'''Calculates Darcy friction factor using the method in Brkic (2011) [2]_ as shown in [1]_. .. math:: f_d = [-2\log_{10}(\frac{2.18\beta}{Re}+ \frac{\epsilon}{3.71D})]^{-2} .. math:: \beta = \ln \frac{Re}{1.816\ln\left(\frac{1.1Re}{\ln(1+1.1Re)}\right)} Parameters ---------- Re : float Reynolds number, [-] eD : float Relative roughness, [-] Returns ------- fd : float Darcy friction factor [-] Notes ----- No range of validity specified for this equation. Examples -------- >>> Brkic_2011_2(1E5, 1E-4) 0.018619745410688716 References ---------- .. [1] Winning, H. and T. Coole. "Explicit Friction Factor Accuracy and Computational Efficiency for Turbulent Flow in Pipes." Flow, Turbulence and Combustion 90, no. 1 (January 1, 2013): 1-27. doi:10.1007/s10494-012-9419-7 .. [2] Brkic, Dejan."Review of Explicit Approximations to the Colebrook Relation for Flow Friction." Journal of Petroleum Science and Engineering 77, no. 1 (April 2011): 34-48. doi:10.1016/j.petrol.2011.02.006. ''' beta = log(Re/(1.816*log(1.1*Re/log(1+1.1*Re)))) return (-2*log10(2.18*beta/Re + eD/3.71))**-2 def Fang_2011(Re, eD): r'''Calculates Darcy friction factor using the method in Fang (2011) [2]_ as shown in [1]_. .. math:: f_D = 1.613\left\{\ln\left[0.234\frac{\epsilon}{D}^{1.1007} - \frac{60.525}{Re^{1.1105}} + \frac{56.291}{Re^{1.0712}}\right]\right\}^{-2} Parameters ---------- Re : float Reynolds number, [-] eD : float Relative roughness, [-] Returns ------- fd : float Darcy friction factor [-] Notes ----- Range is 3E3 <= Re <= 1E8; 0 <= eD <= 5E-2 Examples -------- >>> Fang_2011(1E5, 1E-4) 0.018481390682985432 References ---------- .. [1] Winning, H. and T. Coole. "Explicit Friction Factor Accuracy and Computational Efficiency for Turbulent Flow in Pipes." Flow, Turbulence and Combustion 90, no. 1 (January 1, 2013): 1-27. doi:10.1007/s10494-012-9419-7 .. [2] Fang, Xiande, Yu Xu, and Zhanru Zhou."New Correlations of Single-Phase Friction Factor for Turbulent Pipe Flow and Evaluation of Existing Single-Phase Friction Factor Correlations." Nuclear Engineering and Design, The International Conference on Structural Mechanics in Reactor Technology (SMiRT19) Special Section, 241, no. 3 (March 2011): 897-902. doi:10.1016/j.nucengdes.2010.12.019. ''' return log(0.234*eD**1.1007 - 60.525/Re**1.1105 + 56.291/Re**1.0712)**-2*1.613 def von_Karman(eD): r'''Calculates Darcy friction factor for rough pipes at infinite Reynolds number from the von Karman equation (as given in [1]_ and [2]_: .. math:: \frac{1}{\sqrt{f_d}} = -2 \log_{10} \left(\frac{\epsilon/D}{3.7}\right) Parameters ---------- eD : float Relative roughness, [-] Returns ------- fd : float Darcy friction factor [-] Notes ----- This case does not actually occur; Reynolds number is always finite. It is normally applied as a "limiting" value when a pipe's roughness is so high it has a friction factor curve effectively independent of Reynods number. Examples -------- >>> von_Karman(1E-4) 0.01197365149564789 References ---------- .. [1] Rennels, Donald C., and Hobart M. Hudson. Pipe Flow: A Practical and Comprehensive Guide. 1st edition. Hoboken, N.J: Wiley, 2012. .. [2] McGovern, Jim. "Technical Note: Friction Factor Diagrams for Pipe Flow." Paper, October 3, 2011. http://arrow.dit.ie/engschmecart/28. ''' x = log10(eD/3.71) return 0.25/(x*x) def Prandtl_von_Karman_Nikuradse(Re): r'''Calculates Darcy friction factor for smooth pipes as a function of Reynolds number from the Prandtl-von Karman Nikuradse equation as given in [1]_ and [2]_: .. math:: \frac{1}{\sqrt{f}} = -2\log_{10}\left(\frac{2.51}{Re\sqrt{f}}\right) Parameters ---------- Re : float Reynolds number, [-] Returns ------- fd : float Darcy friction factor [-] Notes ----- This equation is often stated as follows; the correct constant is not 0.8, but 2log10(2.51) or approximately 0.7993474: .. math:: \frac{1}{\sqrt{f}}\approx 2\log_{10}(\text{Re}\sqrt{f})-0.8 This function is calculable for all Reynolds numbers between 1E151 and 1E-151. It is solved with the LambertW function from SciPy. The solution is: .. math:: f_d = \frac{\frac{1}{4}\log_{10}^2}{\left(\text{lambertW}\left(\frac{ \lb(10)Re}{2(2.51)}\right)\right)^2} Examples -------- >>> Prandtl_von_Karman_Nikuradse(1E7) 0.008102669430 References ---------- .. [1] Rennels, Donald C., and Hobart M. Hudson. Pipe Flow: A Practical and Comprehensive Guide. 1st edition. Hoboken, N.J: Wiley, 2012. .. [2] McGovern, Jim. "Technical Note: Friction Factor Diagrams for Pipe Flow." Paper, October 3, 2011. http://arrow.dit.ie/engschmecart/28. ''' # Good 1E150 to 1E-150 c1 = 1.151292546497022842008995727342182103801 # log(10)/2 c2 = 1.325474527619599502640416597148504422899 # log(10)**2/4 return c2/float(lambertw((c1*Re)/2.51).real)**2 # Values still in table at least to 2013 Crane_fts_nominal_Ds = [.015, .02, .025, .032, .04, .05, .065, .08, .1, .125, .15, .2, .25, .35, .4, .55, .6, .9] Crane_fts_Ds = [0.01576, 0.02096, 0.02664, 0.03508, 0.04094, 0.05248, 0.06268, 0.07792, 0.10226, 0.1282, 0.154, 0.20274, 0.25446, 0.33334, 0.381, 0.53994, 0.57504, 0.8759] Crane_fts = [.026, .024, .022, .021, .02, .019, .018, .017, .016, .015, .015, .014, .013, .013, .012, .012, .011, .011] def ft_Crane(D): r'''Calculates the Crane fully turbulent Darcy friction factor for flow in commercial pipe, as used in the Crane formulas for loss coefficients in various fittings. Note that this is **not generally applicable to loss due to friction in pipes**, as it does not take into account the roughness of various pipe materials. But for fittings in any type of pipe, this is the friction factor to use in the Crane [1]_ method to get their loss coefficients. Parameters ---------- D : float Pipe inner diameter, [m] Returns ------- fd : float Darcy Crane friction factor for fully turbulent flow, [-] Notes ----- There is confusion and uncertainty regarding the friction factor table given in Crane TP 410M [1]_. This function does not help: it implements a new way to obtain Crane friction factors, so that it can better be based in theory and give more precision (not accuracy) and trend better with diameters not tabulated in [1]_. The data in [1]_ was digitized, and nominal pipe diameters were converted to actual pipe diameters. An objective function was sought which would produce the exact same values as in [1]_ when rounded to the same decimal place. One was found fairly easily by using the standard `Colebrook` friction factor formula, and using the diameter-dependent roughness values calculated with the `roughness_Farshad` method for bare Carbon steel. A diameter-dependent Reynolds number was required to match the values; the :math:`\rho V/\mu` term is set to 7.5E6. The formula given in [1]_ is: .. math:: f_T = \frac{0.25}{\left[\log_{10}\left(\frac{\epsilon/D}{3.7}\right) \right]^2} However, this function does not match the rounded values in [1]_ well and it is not very clear which roughness to use. Using both the value for new commercial steel (.05 mm) or a diameter-dependent value (`roughness_Farshad`), values were found to be too high and too low respectively. That function is based in theory - the limit of the `Colebrook` equation when `Re` goes to infinity - but in the end real pipe flow is not infinity, and so a large error occurs from that use. The following plot shows all these options, and that the method implemented here matches perfectly the rounded values in [1]_. .. plot:: plots/ft_Crane_plot.py Examples -------- >>> ft_Crane(.1) 0.01628845962146481 Explicitly spelling out the function (note the exact same answer is not returned; it is accurate to 5-8 decimals however, for increased speed): >>> Di = 0.1 >>> Colebrook(7.5E6*Di, eD=roughness_Farshad(ID='Carbon steel, bare', D=Di)/Di) 0.0162884254312 References ---------- .. [1] Crane Co. Flow of Fluids Through Valves, Fittings, and Pipe. Crane, 2009. ''' fast = True if D < 1E-2: fast = False return Clamond(7.5E6*D, 3.4126825352925e-5*D**-1.0112, fast) fmethods = {'Moody': (4000.0, 100000000.0, 0.0, 1.0), 'Alshul_1952': (None, None, None, None), 'Wood_1966': (4000.0, 50000000.0, 1e-05, 0.04), 'Churchill_1973': (None, None, None, None), 'Eck_1973': (None, None, None, None), 'Jain_1976': (5000.0, 10000000.0, 4e-05, 0.05), 'Swamee_Jain_1976': (5000.0, 100000000.0, 1e-06, 0.05), 'Churchill_1977': (None, None, None, None), 'Chen_1979': (4000.0, 400000000.0, 1e-07, 0.05), 'Round_1980': (4000.0, 400000000.0, 0.0, 0.05), 'Shacham_1980': (4000.0, 400000000.0, None, None), 'Barr_1981': (None, None, None, None), 'Zigrang_Sylvester_1': (4000.0, 100000000.0, 4e-05, 0.05), 'Zigrang_Sylvester_2': (4000.0, 100000000.0, 4e-05, 0.05), 'Haaland': (4000.0, 100000000.0, 1e-06, 0.05), 'Serghides_1': (None, None, None, None), 'Serghides_2': (None, None, None, None), 'Tsal_1989': (4000.0, 100000000.0, 0.0, 0.05), 'Manadilli_1997': (5245.0, 100000000.0, 0.0, 0.05), 'Romeo_2002': (3000.0, 150000000.0, 0.0, 0.05), 'Sonnad_Goudar_2006': (4000.0, 100000000.0, 1e-06, 0.05), 'Rao_Kumar_2007': (None, None, None, None), 'Buzzelli_2008': (None, None, None, None), 'Avci_Karagoz_2009': (None, None, None, None), 'Papaevangelo_2010': (10000.0, 10000000.0, 1e-05, 0.001), 'Brkic_2011_1': (None, None, None, None), 'Brkic_2011_2': (None, None, None, None), 'Fang_2011': (3000.0, 100000000.0, 0.0, 0.05), 'Clamond': (0, None, 0.0, None), 'Colebrook': (0, None, 0.0, None)} def friction_factor_methods(Re, eD=0.0, check_ranges=True): r'''Returns a list of correlation names for calculating friction factor for internal pipe flow. Examples -------- >>> len(friction_factor_methods(Re=1E5, eD=1E-4)) 30 Parameters ---------- Re : float Reynolds number, [-] eD : float, optional Relative roughness of the wall, [-] check_ranges : bool, optional Whether to filter the list for correlations which claim to be valid for the given values, [-] Returns ------- methods : list List of methods which claim to be valid for the range of `Re` and `eD` given, [-] ''' if check_ranges: if Re < LAMINAR_TRANSITION_PIPE: return ['laminar'] methods = [] for n, (Re_min, Re_max, eD_min, eD_max) in fmethods.items(): if Re_min is not None and Re < Re_min: continue if Re_max is not None and Re > Re_max: continue if eD_min is not None and eD < eD_min: continue if eD_max is not None and eD > eD_max: continue methods.append(n) return methods else: return list(fmethods.keys()) + ['laminar'] def friction_factor(Re, eD=0.0, Method='Clamond', Darcy=True): r'''Calculates friction factor. Uses a specified method, or automatically picks one from the dictionary of available methods. 29 approximations are available as well as the direct solution, described in the table below. The default is to use the exact solution. For Re < 2040, [1]_ the laminar solution is always returned, regardless of selected method. Examples -------- >>> friction_factor(Re=1E5, eD=1E-4) 0.01851386607747165 >>> friction_factor(Re=2.9E5, eD=1E-5, Method='Serghides_2') 0.0146199041093456 Parameters ---------- Re : float Reynolds number, [-] eD : float, optional Relative roughness of the wall, [-] Returns ------- f : float Friction factor, [-] Other Parameters ---------------- Method : string, optional A string of the function name to use Darcy : bool, optional If False, will return fanning friction factor, 1/4 of the Darcy value See Also -------- Colebrook Clamond Notes ----- A table of the supposed limits of each correlation is as follows. Note that the spaces in the method names are placed by underscores in the actual function names and when provided as the `Method` argument. The default method is likely to be sufficient. +-------------------+------+------+----------------------+----------------------+ |Nice name |Re min|Re max|:math:`\epsilon/D` Min|:math:`\epsilon/D` Max| +===================+======+======+======================+======================+ |Clamond |0 |None |0 |None | +-------------------+------+------+----------------------+----------------------+ |Rao Kumar 2007 |None |None |None |None | +-------------------+------+------+----------------------+----------------------+ |Eck 1973 |None |None |None |None | +-------------------+------+------+----------------------+----------------------+ |Jain 1976 |5000 |1.0E+7|4.0E-5 |0.05 | +-------------------+------+------+----------------------+----------------------+ |Avci Karagoz 2009 |None |None |None |None | +-------------------+------+------+----------------------+----------------------+ |Swamee Jain 1976 |5000 |1.0E+8|1.0E-6 |0.05 | +-------------------+------+------+----------------------+----------------------+ |Churchill 1977 |None |None |None |None | +-------------------+------+------+----------------------+----------------------+ |Brkic 2011 1 |None |None |None |None | +-------------------+------+------+----------------------+----------------------+ |Chen 1979 |4000 |4.0E+8|1.0E-7 |0.05 | +-------------------+------+------+----------------------+----------------------+ |Round 1980 |4000 |4.0E+8|0 |0.05 | +-------------------+------+------+----------------------+----------------------+ |Papaevangelo 2010 |10000 |1.0E+7|1.0E-5 |0.001 | +-------------------+------+------+----------------------+----------------------+ |Fang 2011 |3000 |1.0E+8|0 |0.05 | +-------------------+------+------+----------------------+----------------------+ |Shacham 1980 |4000 |4.0E+8|None |None | +-------------------+------+------+----------------------+----------------------+ |Barr 1981 |None |None |None |None | +-------------------+------+------+----------------------+----------------------+ |Churchill 1973 |None |None |None |None | +-------------------+------+------+----------------------+----------------------+ |Moody |4000 |1.0E+8|0 |1 | +-------------------+------+------+----------------------+----------------------+ |Zigrang Sylvester 1|4000 |1.0E+8|4.0E-5 |0.05 | +-------------------+------+------+----------------------+----------------------+ |Zigrang Sylvester 2|4000 |1.0E+8|4.0E-5 |0.05 | +-------------------+------+------+----------------------+----------------------+ |Buzzelli 2008 |None |None |None |None | +-------------------+------+------+----------------------+----------------------+ |Haaland |4000 |1.0E+8|1.0E-6 |0.05 | +-------------------+------+------+----------------------+----------------------+ |Serghides 1 |None |None |None |None | +-------------------+------+------+----------------------+----------------------+ |Serghides 2 |None |None |None |None | +-------------------+------+------+----------------------+----------------------+ |Tsal 1989 |4000 |1.0E+8|0 |0.05 | +-------------------+------+------+----------------------+----------------------+ |Alshul 1952 |None |None |None |None | +-------------------+------+------+----------------------+----------------------+ |Wood 1966 |4000 |5.0E+7|1.0E-5 |0.04 | +-------------------+------+------+----------------------+----------------------+ |Manadilli 1997 |5245 |1.0E+8|0 |0.05 | +-------------------+------+------+----------------------+----------------------+ |Brkic 2011 2 |None |None |None |None | +-------------------+------+------+----------------------+----------------------+ |Romeo 2002 |3000 |1.5E+8|0 |0.05 | +-------------------+------+------+----------------------+----------------------+ |Sonnad Goudar 2006 |4000 |1.0E+8|1.0E-6 |0.05 | +-------------------+------+------+----------------------+----------------------+ References ---------- .. [1] Avila, Kerstin, David Moxey, Alberto de Lozar, Marc Avila, Dwight Barkley, and Björn Hof. "The Onset of Turbulence in Pipe Flow." Science 333, no. 6039 (July 8, 2011): 192-96. doi:10.1126/science.1203223. ''' if Method is None: Method = 'Clamond' if Re < LAMINAR_TRANSITION_PIPE or Method == 'laminar': f = friction_laminar(Re) elif Method == "Clamond": f = Clamond(Re, eD, False) elif Method == "Colebrook": f = Colebrook(Re, eD) elif Method == "Moody": f = Moody(Re, eD) elif Method == "Alshul_1952": f = Alshul_1952(Re, eD) elif Method == "Wood_1966": f = Wood_1966(Re, eD) elif Method == "Churchill_1973": f = Churchill_1973(Re, eD) elif Method == "Eck_1973": f = Eck_1973(Re, eD) elif Method == "Jain_1976": f = Jain_1976(Re, eD) elif Method == "Swamee_Jain_1976": f = Swamee_Jain_1976(Re, eD) elif Method == "Churchill_1977": f = Churchill_1977(Re, eD) elif Method == "Chen_1979": f = Chen_1979(Re, eD) elif Method == "Round_1980": f = Round_1980(Re, eD) elif Method == "Shacham_1980": f = Shacham_1980(Re, eD) elif Method == "Barr_1981": f = Barr_1981(Re, eD) elif Method == "Zigrang_Sylvester_1": f = Zigrang_Sylvester_1(Re, eD) elif Method == "Zigrang_Sylvester_2": f = Zigrang_Sylvester_2(Re, eD) elif Method == "Haaland": f = Haaland(Re, eD) elif Method == "Serghides_1": f = Serghides_1(Re, eD) elif Method == "Serghides_2": f = Serghides_2(Re, eD) elif Method == "Tsal_1989": f = Tsal_1989(Re, eD) elif Method == "Manadilli_1997": f = Manadilli_1997(Re, eD) elif Method == "Romeo_2002": f = Romeo_2002(Re, eD) elif Method == "Sonnad_Goudar_2006": f = Sonnad_Goudar_2006(Re, eD) elif Method == "Rao_Kumar_2007": f = Rao_Kumar_2007(Re, eD) elif Method == "Buzzelli_2008": f = Buzzelli_2008(Re, eD) elif Method == "Avci_Karagoz_2009": f = Avci_Karagoz_2009(Re, eD) elif Method == "Papaevangelo_2010": f = Papaevangelo_2010(Re, eD) elif Method == "Brkic_2011_1": f = Brkic_2011_1(Re, eD) elif Method == "Brkic_2011_2": f = Brkic_2011_2(Re, eD) elif Method == "Fang_2011": f = Fang_2011(Re, eD) else: raise ValueError("Method not recognized") if not Darcy: f *= 0.25 return f def helical_laminar_fd_White(Re, Di, Dc): r'''Calculates Darcy friction factor for a fluid flowing inside a curved pipe such as a helical coil under laminar conditions, using the method of White [1]_ as shown in [2]_. .. math:: f_{curved} = f_{\text{straight,laminar}} \left[1 - \left(1-\left( \frac{11.6}{De}\right)^{0.45}\right)^{\frac{1}{0.45}}\right]^{-1} Parameters ---------- Re : float Reynolds number with `D=Di`, [-] Di : float Inner diameter of the coil, [m] Dc : float Diameter of the helix/coil measured from the center of the tube on one side to the center of the tube on the other side, [m] Returns ------- fd : float Darcy friction factor for a curved pipe [-] Notes ----- The range of validity of this equation is :math:`11.6< De < 2000`, :math:`3.878\times 10^{-4}>> helical_laminar_fd_White(250, .02, .1) 0.4063281817830202 References ---------- .. [1] White, C. M. "Streamline Flow through Curved Pipes." Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences 123, no. 792 (April 6, 1929): 645-63. doi:10.1098/rspa.1929.0089. .. [2] El-Genk, Mohamed S., and Timothy M. Schriener. "A Review and Correlations for Convection Heat Transfer and Pressure Losses in Toroidal and Helically Coiled Tubes." Heat Transfer Engineering 0, no. 0 (June 7, 2016): 1-28. doi:10.1080/01457632.2016.1194693. .. [3] Blevins, Robert D. Applied Fluid Dynamics Handbook. New York, N.Y.: Van Nostrand Reinhold Co., 1984. ''' De = Dean(Re=Re, Di=Di, D=Dc) fd = friction_laminar(Re) if De < 11.6: return fd return fd/(1. - (1. - (11.6/De)**0.45)**(1./0.45)) # 1/.45 sometimes said to be 2.2 def helical_laminar_fd_Mori_Nakayama(Re, Di, Dc): r'''Calculates Darcy friction factor for a fluid flowing inside a curved pipe such as a helical coil under laminar conditions, using the method of Mori and Nakayama [1]_ as shown in [2]_ and [3]_. .. math:: f_{curved} = f_{\text{straight,laminar}} \left(\frac{0.108\sqrt{De}} {1-3.253De^{-0.5}}\right) Parameters ---------- Re : float Reynolds number with `D=Di`, [-] Di : float Inner diameter of the coil, [m] Dc : float Diameter of the helix/coil measured from the center of the tube on one side to the center of the tube on the other side, [m] Returns ------- fd : float Darcy friction factor for a curved pipe [-] Notes ----- The range of validity of this equation is :math:`100 < De < 2000`. The form of the equation means it yields nonsense results for De < 42.328; under that, the equation is modified to return the value at De=42.328, which is a multiplier of 1.405296 on the straight pipe friction factor. Examples -------- >>> helical_laminar_fd_Mori_Nakayama(250, .02, .1) 0.42224582857795434 References ---------- .. [1] Mori, Yasuo, and Wataru Nakayama. "Study on Forced Convective Heat Transfer in Curved Pipes : 1st Report, Laminar Region." Transactions of the Japan Society of Mechanical Engineers 30, no. 216 (1964): 977-88. doi:10.1299/kikai1938.30.977. .. [2] El-Genk, Mohamed S., and Timothy M. Schriener. "A Review and Correlations for Convection Heat Transfer and Pressure Losses in Toroidal and Helically Coiled Tubes." Heat Transfer Engineering 0, no. 0 (June 7, 2016): 1-28. doi:10.1080/01457632.2016.1194693. .. [3] Pimenta, T. A., and J. B. L. M. Campos. "Friction Losses of Newtonian and Non-Newtonian Fluids Flowing in Laminar Regime in a Helical Coil." Experimental Thermal and Fluid Science 36 (January 2012): 194-204. doi:10.1016/j.expthermflusci.2011.09.013. ''' De = Dean(Re=Re, Di=Di, D=Dc) fd = friction_laminar(Re) if De < 42.328036: return fd*1.405296 return fd*(0.108*sqrt(De))/(1. - 3.253*1.0/sqrt(De)) def helical_laminar_fd_Schmidt(Re, Di, Dc): r'''Calculates Darcy friction factor for a fluid flowing inside a curved pipe such as a helical coil under laminar conditions, using the method of Schmidt [1]_ as shown in [2]_ and [3]_. .. math:: f_{curved} = f_{\text{straight,laminar}} \left[1 + 0.14\left(\frac{D_i} {D_c}\right)^{0.97}Re^{\left[1 - 0.644\left(\frac{D_i}{D_c} \right)^{0.312}\right]}\right] Parameters ---------- Re : float Reynolds number with `D=Di`, [-] Di : float Inner diameter of the coil, [m] Dc : float Diameter of the helix/coil measured from the center of the tube on one side to the center of the tube on the other side, [m] Returns ------- fd : float Darcy friction factor for a curved pipe [-] Notes ----- The range of validity of this equation is specified only for Re, :math:`100 < Re < Re_{critical}`. The form of the equation is such that as the curvature becomes negligible, straight tube result is obtained. Examples -------- >>> helical_laminar_fd_Schmidt(250, .02, .1) 0.47460725672835236 References ---------- .. [1] Schmidt, Eckehard F. "Wärmeübergang Und Druckverlust in Rohrschlangen." Chemie Ingenieur Technik 39, no. 13 (July 10, 1967): 781-89. doi:10.1002/cite.330391302. .. [2] El-Genk, Mohamed S., and Timothy M. Schriener. "A Review and Correlations for Convection Heat Transfer and Pressure Losses in Toroidal and Helically Coiled Tubes." Heat Transfer Engineering 0, no. 0 (June 7, 2016): 1-28. doi:10.1080/01457632.2016.1194693. .. [3] Pimenta, T. A., and J. B. L. M. Campos. "Friction Losses of Newtonian and Non-Newtonian Fluids Flowing in Laminar Regime in a Helical Coil." Experimental Thermal and Fluid Science 36 (January 2012): 194-204. doi:10.1016/j.expthermflusci.2011.09.013. ''' fd = friction_laminar(Re) D_ratio = Di/Dc return fd*(1. + 0.14*D_ratio**0.97*Re**(1. - 0.644*D_ratio**0.312)) def helical_turbulent_fd_Srinivasan(Re, Di, Dc): r'''Calculates Darcy friction factor for a fluid flowing inside a curved pipe such as a helical coil under turbulent conditions, using the method of Srinivasan [1]_, as shown in [2]_ and [3]_. .. math:: f_d = \frac{0.336}{{\left[Re\sqrt{\frac{D_i}{D_c}}\right]^{0.2}}} Parameters ---------- Re : float Reynolds number with `D=Di`, [-] Di : float Inner diameter of the coil, [m] Dc : float Diameter of the helix/coil measured from the center of the tube on one side to the center of the tube on the other side, [m] Returns ------- fd : float Darcy friction factor for a curved pipe [-] Notes ----- Valid for 0.01 < Di/Dc < 0.15, with no Reynolds number criteria given in [2]_ or [3]_. [2]_ recommends this method, using the transition criteria of Srinivasan as well. [3]_ recommends using either this method or the Ito method. This method did not make it into the popular review articles on curved flow. Examples -------- >>> helical_turbulent_fd_Srinivasan(1E4, 0.01, .02) 0.0570745212117107 References ---------- .. [1] Srinivasan, PS, SS Nandapurkar, and FA Holland. "Friction Factors for Coils." TRANSACTIONS OF THE INSTITUTION OF CHEMICAL ENGINEERS AND THE CHEMICAL ENGINEER 48, no. 4-6 (1970): T156 .. [2] Blevins, Robert D. Applied Fluid Dynamics Handbook. New York, N.Y.: Van Nostrand Reinhold Co., 1984. .. [3] Rohsenow, Warren and James Hartnett and Young Cho. Handbook of Heat Transfer, 3E. New York: McGraw-Hill, 1998. ''' De = Dean(Re=Re, Di=Di, D=Dc) return 0.336*De**-0.2 def helical_turbulent_fd_Schmidt(Re, Di, Dc, roughness=0): r'''Calculates Darcy friction factor for a fluid flowing inside a curved pipe such as a helical coil under turbulent conditions, using the method of Schmidt [1]_, also shown in [2]_. For :math:`Re_{crit} < Re < 2.2\times 10^{4}`: .. math:: f_{curv} = f_{\text{str,turb}} \left[1 + \frac{2.88\times10^{4}}{Re} \left(\frac{D_i}{D_c}\right)^{0.62}\right] For :math:`2.2\times 10^{4} < Re < 1.5\times10^{5}`: .. math:: f_{curv} = f_{\text{str,turb}} \left[1 + 0.0823\left(1 + \frac{D_i} {D_c}\right)\left(\frac{D_i}{D_c}\right)^{0.53} Re^{0.25}\right] Parameters ---------- Re : float Reynolds number with `D=Di`, [-] Di : float Inner diameter of the coil, [m] Dc : float Diameter of the helix/coil measured from the center of the tube on one side to the center of the tube on the other side, [m] roughness : float, optional Roughness of pipe wall [m] Returns ------- fd : float Darcy friction factor for a curved pipe [-] Notes ----- Valid from the transition to turbulent flow up to :math:`Re=1.5\times 10^{5}`. At very low curvatures, converges on the straight pipe result. Examples -------- >>> helical_turbulent_fd_Schmidt(1E4, 0.01, .02) 0.08875550767040916 References ---------- .. [1] Schmidt, Eckehard F. "Wärmeübergang Und Druckverlust in Rohrschlangen." Chemie Ingenieur Technik 39, no. 13 (July 10, 1967): 781-89. doi:10.1002/cite.330391302. .. [2] El-Genk, Mohamed S., and Timothy M. Schriener. "A Review and Correlations for Convection Heat Transfer and Pressure Losses in Toroidal and Helically Coiled Tubes." Heat Transfer Engineering 0, no. 0 (June 7, 2016): 1-28. doi:10.1080/01457632.2016.1194693. ''' fd = friction_factor(Re=Re, eD=roughness/Di) if Re < 2.2E4: return fd*(1. + 2.88E4/Re*(Di/Dc)**0.62) else: return fd*(1. + 0.0823*(1. + Di/Dc)*(Di/Dc)**0.53*sqrt(sqrt(Re))) def helical_turbulent_fd_Mori_Nakayama(Re, Di, Dc): r'''Calculates Darcy friction factor for a fluid flowing inside a curved pipe such as a helical coil under turbulent conditions, using the method of Mori and Nakayama [1]_, also shown in [2]_ and [3]_. .. math:: f_{curv} = 0.3\left(\frac{D_i}{D_c}\right)^{0.5} \left[Re\left(\frac{D_i}{D_c}\right)^2\right]^{-0.2}\left[1 + 0.112\left[Re\left(\frac{D_i}{D_c}\right)^2\right]^{-0.2}\right] Parameters ---------- Re : float Reynolds number with `D=Di`, [-] Di : float Inner diameter of the coil, [m] Dc : float Diameter of the helix/coil measured from the center of the tube on one side to the center of the tube on the other side, [m] Returns ------- fd : float Darcy friction factor for a curved pipe [-] Notes ----- Valid from the transition to turbulent flow up to :math:`Re=6.5\times 10^{5}\sqrt{D_i/D_c}`. Does not use a straight pipe correlation, and so will not converge on the straight pipe result at very low curvature. Examples -------- >>> helical_turbulent_fd_Mori_Nakayama(1E4, 0.01, .2) 0.037311802071379796 References ---------- .. [1] Mori, Yasuo, and Wataru Nakayama. "Study of Forced Convective Heat Transfer in Curved Pipes (2nd Report, Turbulent Region)." International Journal of Heat and Mass Transfer 10, no. 1 (January 1, 1967): 37-59. doi:10.1016/0017-9310(67)90182-2. .. [2] El-Genk, Mohamed S., and Timothy M. Schriener. "A Review and Correlations for Convection Heat Transfer and Pressure Losses in Toroidal and Helically Coiled Tubes." Heat Transfer Engineering 0, no. 0 (June 7, 2016): 1-28. doi:10.1080/01457632.2016.1194693. .. [3] Ali, Shaukat. "Pressure Drop Correlations for Flow through Regular Helical Coil Tubes." Fluid Dynamics Research 28, no. 4 (April 2001): 295-310. doi:10.1016/S0169-5983(00)00034-4. ''' term = (Re*(Di/Dc)**2)**-0.2 return 0.3*1.0/sqrt(Dc/Di)*term*(1. + 0.112*term) def helical_turbulent_fd_Prasad(Re, Di, Dc,roughness=0): r'''Calculates Darcy friction factor for a fluid flowing inside a curved pipe such as a helical coil under turbulent conditions, using the method of Prasad [1]_, also shown in [2]_. .. math:: f_{curv} = f_{\text{str,turb}}\left[1 + 0.18\left[Re\left(\frac{D_i} {D_c}\right)^2\right]^{0.25}\right] Parameters ---------- Re : float Reynolds number with `D=Di`, [-] Di : float Inner diameter of the coil, [m] Dc : float Diameter of the helix/coil measured from the center of the tube on one side to the center of the tube on the other side, [m] roughness : float, optional Roughness of pipe wall [m] Returns ------- fd : float Darcy friction factor for a curved pipe [-] Notes ----- No range of validity was specified, but the experiments used were with coil/tube diameter ratios of 17.24 and 34.9, hot water in the tube, and :math:`1780 < Re < 59500`. At very low curvatures, converges on the straight pipe result. Examples -------- >>> helical_turbulent_fd_Prasad(1E4, 0.01, .2) 0.043313098093994626 References ---------- .. [1] Prasad, B. V. S. S. S., D. H. Das, and A. K. Prabhakar. "Pressure Drop, Heat Transfer and Performance of a Helically Coiled Tubular Exchanger." Heat Recovery Systems and CHP 9, no. 3 (January 1, 1989): 249-56. doi:10.1016/0890-4332(89)90008-2. .. [2] El-Genk, Mohamed S., and Timothy M. Schriener. "A Review and Correlations for Convection Heat Transfer and Pressure Losses in Toroidal and Helically Coiled Tubes." Heat Transfer Engineering 0, no. 0 (June 7, 2016): 1-28. doi:10.1080/01457632.2016.1194693. ''' fd = friction_factor(Re=Re, eD=roughness/Di) return fd*(1. + 0.18*sqrt(sqrt(Re*(Di/Dc)**2))) def helical_turbulent_fd_Czop (Re, Di, Dc): r'''Calculates Darcy friction factor for a fluid flowing inside a curved pipe such as a helical coil under turbulent conditions, using the method of Czop [1]_, also shown in [2]_. .. math:: f_{curv} = 0.096De^{-0.1517} Parameters ---------- Re : float Reynolds number with `D=Di`, [-] Di : float Inner diameter of the coil, [m] Dc : float Diameter of the helix/coil measured from the center of the tube on one side to the center of the tube on the other side, [m] Returns ------- fd : float Darcy friction factor for a curved pipe [-] Notes ----- Valid for :math:`2\times10^4 < Re < 1.5\times10^{5}`. Does not use a straight pipe correlation, and so will not converge on the straight pipe result at very low curvature. Examples -------- >>> helical_turbulent_fd_Czop(1E4, 0.01, .2) 0.02979575250574106 References ---------- .. [1] Czop, V., D. Barbier, and S. Dong. "Pressure Drop, Void Fraction and Shear Stress Measurements in an Adiabatic Two-Phase Flow in a Coiled Tube." Nuclear Engineering and Design 149, no. 1 (September 1, 1994): 323-33. doi:10.1016/0029-5493(94)90298-4. .. [2] El-Genk, Mohamed S., and Timothy M. Schriener. "A Review and Correlations for Convection Heat Transfer and Pressure Losses in Toroidal and Helically Coiled Tubes." Heat Transfer Engineering 0, no. 0 (June 7, 2016): 1-28. doi:10.1080/01457632.2016.1194693. ''' De = Dean(Re=Re, Di=Di, D=Dc) return 0.096*De**-0.1517 def helical_turbulent_fd_Guo(Re, Di, Dc): r'''Calculates Darcy friction factor for a fluid flowing inside a curved pipe such as a helical coil under turbulent conditions, using the method of Guo [1]_, also shown in [2]_. .. math:: f_{curv} = 0.638Re^{-0.15}\left(\frac{D_i}{D_c}\right)^{0.51} Parameters ---------- Re : float Reynolds number with `D=Di`, [-] Di : float Inner diameter of the coil, [m] Dc : float Diameter of the helix/coil measured from the center of the tube on one side to the center of the tube on the other side, [m] Returns ------- fd : float Darcy friction factor for a curved pipe [-] Notes ----- Valid for :math:`2\times10^4 < Re < 1.5\times10^{5}`. Does not use a straight pipe correlation, and so will not converge on the straight pipe result at very low curvature. Examples -------- >>> helical_turbulent_fd_Guo(2E5, 0.01, .2) 0.022189161013253147 References ---------- .. [1] Guo, Liejin, Ziping Feng, and Xuejun Chen. "An Experimental Investigation of the Frictional Pressure Drop of Steam–water Two-Phase Flow in Helical Coils." International Journal of Heat and Mass Transfer 44, no. 14 (July 2001): 2601-10. doi:10.1016/S0017-9310(00)00312-4. .. [2] El-Genk, Mohamed S., and Timothy M. Schriener. "A Review and Correlations for Convection Heat Transfer and Pressure Losses in Toroidal and Helically Coiled Tubes." Heat Transfer Engineering 0, no. 0 (June 7, 2016): 1-28. doi:10.1080/01457632.2016.1194693. ''' return 0.638*Re**-0.15*(Di/Dc)**0.51 def helical_turbulent_fd_Ju(Re, Di, Dc,roughness=0.0): r'''Calculates Darcy friction factor for a fluid flowing inside a curved pipe such as a helical coil under turbulent conditions, using the method of Ju et al. [1]_, also shown in [2]_. .. math:: f_{curv} = f_{\text{str,turb}}\left[1 +0.11Re^{0.23}\left(\frac{D_i} {D_c}\right)^{0.14}\right] Parameters ---------- Re : float Reynolds number with `D=Di`, [-] Di : float Inner diameter of the coil, [m] Dc : float Diameter of the helix/coil measured from the center of the tube on one side to the center of the tube on the other side, [m] roughness : float, optional Roughness of pipe wall [m] Returns ------- fd : float Darcy friction factor for a curved pipe [-] Notes ----- Claimed to be valid for all turbulent conditions with :math:`De>11.6`. At very low curvatures, converges on the straight pipe result. Examples -------- >>> helical_turbulent_fd_Ju(1E4, 0.01, .2) 0.04945959480770937 References ---------- .. [1] Ju, Huaiming, Zhiyong Huang, Yuanhui Xu, Bing Duan, and Yu Yu. "Hydraulic Performance of Small Bending Radius Helical Coil-Pipe." Journal of Nuclear Science and Technology 38, no. 10 (October 1, 2001): 826-31. doi:10.1080/18811248.2001.9715102. .. [2] El-Genk, Mohamed S., and Timothy M. Schriener. "A Review and Correlations for Convection Heat Transfer and Pressure Losses in Toroidal and Helically Coiled Tubes." Heat Transfer Engineering 0, no. 0 (June 7, 2016): 1-28. doi:10.1080/01457632.2016.1194693. ''' fd = friction_factor(Re=Re, eD=roughness/Di) return fd*(1. + 0.11*Re**0.23*(Di/Dc)**0.14) def helical_turbulent_fd_Mandal_Nigam(Re, Di, Dc, roughness=0): r'''Calculates Darcy friction factor for a fluid flowing inside a curved pipe such as a helical coil under turbulent conditions, using the method of Mandal and Nigam [1]_, also shown in [2]_. .. math:: f_{curv} = f_{\text{str,turb}} [1 + 0.03{De}^{0.27}] Parameters ---------- Re : float Reynolds number with `D=Di`, [-] Di : float Inner diameter of the coil, [m] Dc : float Diameter of the helix/coil measured from the center of the tube on one side to the center of the tube on the other side, [m] roughness : float, optional Roughness of pipe wall [m] Returns ------- fd : float Darcy friction factor for a curved pipe [-] Notes ----- Claimed to be valid for all turbulent conditions with :math:`2500 < De < 15000`. At very low curvatures, converges on the straight pipe result. Examples -------- >>> helical_turbulent_fd_Mandal_Nigam(1E4, 0.01, .2) 0.03831658117115902 References ---------- .. [1] Mandal, Monisha Mridha, and K. D. P. Nigam. "Experimental Study on Pressure Drop and Heat Transfer of Turbulent Flow in Tube in Tube Helical Heat Exchanger." Industrial & Engineering Chemistry Research 48, no. 20 (October 21, 2009): 9318-24. doi:10.1021/ie9002393. .. [2] El-Genk, Mohamed S., and Timothy M. Schriener. "A Review and Correlations for Convection Heat Transfer and Pressure Losses in Toroidal and Helically Coiled Tubes." Heat Transfer Engineering 0, no. 0 (June 7, 2016): 1-28. doi:10.1080/01457632.2016.1194693. ''' De = Dean(Re=Re, Di=Di, D=Dc) fd = friction_factor(Re=Re, eD=roughness/Di) return fd*(1. + 0.03*De**0.27) def helical_transition_Re_Seth_Stahel(Di, Dc): r'''Calculates the transition Reynolds number for flow inside a curved or helical coil between laminar and turbulent flow, using the method of [1]_. .. math:: Re_{crit} = 1900\left[1 + 8 \sqrt{\frac{D_i}{D_c}}\right] Parameters ---------- Di : float Inner diameter of the coil, [m] Dc : float Diameter of the helix/coil measured from the center of the tube on one side to the center of the tube on the other side, [m] Returns ------- Re_crit : float Transition Reynolds number between laminar and turbulent [-] Notes ----- At very low curvatures, converges to Re = 1900. Examples -------- >>> helical_transition_Re_Seth_Stahel(1, 7.) 7645.0599897402535 References ---------- .. [1] Seth, K. K., and E. P. Stahel. "HEAT TRANSFER FROM HELICAL COILS IMMERSED IN AGITATED VESSELS." Industrial & Engineering Chemistry 61, no. 6 (June 1, 1969): 39-49. doi:10.1021/ie50714a007. ''' return 1900.*(1. + 8.*sqrt(Di/Dc)) def helical_transition_Re_Ito(Di, Dc): r'''Calculates the transition Reynolds number for flow inside a curved or helical coil between laminar and turbulent flow, using the method of [1]_, as shown in [2]_ and in [3]_. .. math:: Re_{crit} = 20000 \left(\frac{D_i}{D_c}\right)^{0.32} Parameters ---------- Di : float Inner diameter of the coil, [m] Dc : float Diameter of the helix/coil measured from the center of the tube on one side to the center of the tube on the other side, [m] Returns ------- Re_crit : float Transition Reynolds number between laminar and turbulent [-] Notes ----- At very low curvatures, converges to Re = 0. Recommended for :math:`0.00116 < d_i/D_c < 0.067` Examples -------- >>> helical_transition_Re_Ito(1, 7.) 10729.972844697186 References ---------- .. [1] H. Ito. "Friction factors for turbulent flow in curved pipes." Journal Basic Engineering, Transactions of the ASME, 81 (1959): 123-134. .. [2] El-Genk, Mohamed S., and Timothy M. Schriener. "A Review and Correlations for Convection Heat Transfer and Pressure Losses in Toroidal and Helically Coiled Tubes." Heat Transfer Engineering 0, no. 0 (June 7, 2016): 1-28. doi:10.1080/01457632.2016.1194693. .. [3] Mori, Yasuo, and Wataru Nakayama. "Study on Forced Convective Heat Transfer in Curved Pipes." International Journal of Heat and Mass Transfer 10, no. 5 (May 1, 1967): 681-95. doi:10.1016/0017-9310(67)90113-5. ''' return 2E4*(Di/Dc)**0.32 def helical_transition_Re_Kubair_Kuloor(Di, Dc): r'''Calculates the transition Reynolds number for flow inside a curved or helical coil between laminar and turbulent flow, using the method of [1]_, as shown in [2]_. .. math:: Re_{crit} = 12730 \left(\frac{D_i}{D_c}\right)^{0.2} Parameters ---------- Di : float Inner diameter of the coil, [m] Dc : float Diameter of the helix/coil measured from the center of the tube on one side to the center of the tube on the other side, [m] Returns ------- Re_crit : float Transition Reynolds number between laminar and turbulent [-] Notes ----- At very low curvatures, converges to Re = 0. Recommended for :math:`0.0005 < d_i/D_c < 0.103` Examples -------- >>> helical_transition_Re_Kubair_Kuloor(1, 7.) 8625.986927588123 References ---------- .. [1] Kubair, Venugopala, and N. R. Kuloor. "Heat Transfer to Newtonian Fluids in Coiled Pipes in Laminar Flow." International Journal of Heat and Mass Transfer 9, no. 1 (January 1, 1966): 63-75. doi:10.1016/0017-9310(66)90057-3. .. [2] El-Genk, Mohamed S., and Timothy M. Schriener. "A Review and Correlations for Convection Heat Transfer and Pressure Losses in Toroidal and Helically Coiled Tubes." Heat Transfer Engineering 0, no. 0 (June 7, 2016): 1-28. doi:10.1080/01457632.2016.1194693. ''' return 1.273E4*(Di/Dc)**0.2 def helical_transition_Re_Kutateladze_Borishanskii(Di, Dc): r'''Calculates the transition Reynolds number for flow inside a curved or helical coil between laminar and turbulent flow, using the method of [1]_, also shown in [2]_. .. math:: Re_{crit} = 2300 + 1.05\times 10^4 \left(\frac{D_i}{D_c}\right)^{0.3} Parameters ---------- Di : float Inner diameter of the coil, [m] Dc : float Diameter of the helix/coil measured from the center of the tube on one side to the center of the tube on the other side, [m] Returns ------- Re_crit : float Transition Reynolds number between laminar and turbulent [-] Notes ----- At very low curvatures, converges to Re = 2300. Recommended for :math:`0.0417 < d_i/D_c < 0.1667` Examples -------- >>> helical_transition_Re_Kutateladze_Borishanskii(1, 7.) 7121.143774574058 References ---------- .. [1] Kutateladze, S. S, and V. M Borishanskiĭ. A Concise Encyclopedia of Heat Transfer. Oxford; New York: Pergamon Press, 1966. .. [2] El-Genk, Mohamed S., and Timothy M. Schriener. "A Review and Correlations for Convection Heat Transfer and Pressure Losses in Toroidal and Helically Coiled Tubes." Heat Transfer Engineering 0, no. 0 (June 7, 2016): 1-28. doi:10.1080/01457632.2016.1194693. ''' return 2300. + 1.05E4*(Di/Dc)**0.4 def helical_transition_Re_Schmidt(Di, Dc): r'''Calculates the transition Reynolds number for flow inside a curved or helical coil between laminar and turbulent flow, using the method of [1]_, also shown in [2]_ and [3]_. Correlation recommended in [3]_. .. math:: Re_{crit} = 2300\left[1 + 8.6\left(\frac{D_i}{D_c}\right)^{0.45}\right] Parameters ---------- Di : float Inner diameter of the coil, [m] Dc : float Diameter of the helix/coil measured from the center of the tube on one side to the center of the tube on the other side, [m] Returns ------- Re_crit : float Transition Reynolds number between laminar and turbulent [-] Notes ----- At very low curvatures, converges to Re = 2300. Recommended for :math:`d_i/D_c < 0.14` Examples -------- >>> helical_transition_Re_Schmidt(1, 7.) 10540.094061770815 References ---------- .. [1] Schmidt, Eckehard F. "Wärmeübergang Und Druckverlust in Rohrschlangen." Chemie Ingenieur Technik 39, no. 13 (July 10, 1967): 781-89. doi:10.1002/cite.330391302. .. [2] El-Genk, Mohamed S., and Timothy M. Schriener. "A Review and Correlations for Convection Heat Transfer and Pressure Losses in Toroidal and Helically Coiled Tubes." Heat Transfer Engineering 0, no. 0 (June 7, 2016): 1-28. doi:10.1080/01457632.2016.1194693. .. [3] Schlunder, Ernst U, and International Center for Heat and Mass Transfer. Heat Exchanger Design Handbook. Washington: Hemisphere Pub. Corp., 1983. ''' return 2300.*(1. + 8.6*(Di/Dc)**0.45) def helical_transition_Re_Srinivasan(Di, Dc): r'''Calculates the transition Reynolds number for flow inside a curved or helical coil between laminar and turbulent flow, using the method of [1]_, also shown in [2]_ and [3]_. Correlation recommended in [3]_. .. math:: Re_{crit} = 2100\left[1 + 12\left(\frac{D_i}{D_c}\right)^{0.5}\right] Parameters ---------- Di : float Inner diameter of the coil, [m] Dc : float Diameter of the helix/coil measured from the center of the tube on one side to the center of the tube on the other side, [m] Returns ------- Re_crit : float Transition Reynolds number between laminar and turbulent [-] Notes ----- At very low curvatures, converges to Re = 2100. Recommended for :math:`0.004 < d_i/D_c < 0.1`. Examples -------- >>> helical_transition_Re_Srinivasan(1, 7.) 11624.704719832524 References ---------- .. [1] Srinivasan, P. S., Nandapurkar, S. S., and Holland, F. A., "Pressure Drop and Heat Transfer in Coils", Chemical Engineering, 218, CE131-119, (1968). .. [2] El-Genk, Mohamed S., and Timothy M. Schriener. "A Review and Correlations for Convection Heat Transfer and Pressure Losses in Toroidal and Helically Coiled Tubes." Heat Transfer Engineering 0, no. 0 (June 7, 2016): 1-28. doi:10.1080/01457632.2016.1194693. .. [3] Rohsenow, Warren and James Hartnett and Young Cho. Handbook of Heat Transfer, 3E. New York: McGraw-Hill, 1998. ''' return 2100.*(1. + 12.*sqrt(Di/Dc)) curved_friction_laminar_methods = {'White': helical_laminar_fd_White, 'Mori Nakayama laminar': helical_laminar_fd_Mori_Nakayama, 'Schmidt laminar': helical_laminar_fd_Schmidt} # Format: 'key': (correlation, supports_roughness) curved_friction_turbulent_methods = {'Schmidt turbulent': (helical_turbulent_fd_Schmidt, True), 'Mori Nakayama turbulent': (helical_turbulent_fd_Mori_Nakayama, False), 'Prasad': (helical_turbulent_fd_Prasad, True), 'Czop': (helical_turbulent_fd_Czop, False), 'Guo': (helical_turbulent_fd_Guo, False), 'Ju': (helical_turbulent_fd_Ju, True), 'Mandel Nigam': (helical_turbulent_fd_Mandal_Nigam, True), 'Srinivasan turbulent': (helical_turbulent_fd_Srinivasan, False)} curved_friction_transition_methods = {'Seth Stahel': helical_transition_Re_Seth_Stahel, 'Ito': helical_transition_Re_Ito, 'Kubair Kuloor': helical_transition_Re_Kubair_Kuloor, 'Kutateladze Borishanskii': helical_transition_Re_Kutateladze_Borishanskii, 'Schmidt': helical_transition_Re_Schmidt, 'Srinivasan': helical_transition_Re_Srinivasan} _bad_curved_transition_method = '''Invalid method specified for transition Reynolds number; valid methods are %s''' % list(curved_friction_transition_methods.keys()) curved_friction_turbulent_methods_list = ['Schmidt turbulent', 'Mori Nakayama turbulent', 'Prasad', 'Czop', 'Guo', 'Ju', 'Mandel Nigam', 'Srinivasan turbulent'] curved_friction_laminar_methods_list = ['White', 'Mori Nakayama laminar', 'Schmidt laminar'] def helical_Re_crit(Di, Dc, Method='Schmidt'): r'''Calculates the transition Reynolds number for fluid flowing in a curved pipe or helical coil. Selects the appropriate regime by default. Optionally, a specific correlation can be specified with the `Method` keyword. The default correlations are those recommended in [1]_, and are believed to be the best publicly available. Examples -------- >>> helical_Re_crit(Di=0.02, Dc=0.5) 6946.792538856203 Parameters ---------- Di : float Inner diameter of the tube making up the coil, [m] Dc : float Diameter of the helix/coil measured from the center of the tube on one side to the center of the tube on the other side, [m] Method : str, optional Critical Reynolds number transition criteria correlation; one of ['Seth Stahel', 'Ito', 'Kubair Kuloor', 'Kutateladze Borishanskii', 'Schmidt', 'Srinivasan']; the default is 'Schmidt'. Returns ------- Re_crit : float Reynolds number for critical transition between laminar and turbulent flow, [-] See Also -------- fluids.geometry.HelicalCoil helical_transition_Re_Schmidt helical_transition_Re_Srinivasan helical_transition_Re_Kutateladze_Borishanskii helical_transition_Re_Kubair_Kuloor helical_transition_Re_Ito helical_transition_Re_Seth_Stahel References ---------- .. [1] Schlunder, Ernst U, and International Center for Heat and Mass Transfer. Heat Exchanger Design Handbook. Washington: Hemisphere Pub. Corp., 1983. ''' if Method == 'Schmidt': Re_crit = helical_transition_Re_Schmidt(Di, Dc) elif Method == 'Seth Stahel': Re_crit = helical_transition_Re_Seth_Stahel(Di, Dc) elif Method == 'Ito': Re_crit = helical_transition_Re_Ito(Di, Dc) elif Method == 'Kubair Kuloor': Re_crit = helical_transition_Re_Kubair_Kuloor(Di, Dc) elif Method == 'Kutateladze Borishanskii': Re_crit = helical_transition_Re_Kutateladze_Borishanskii(Di, Dc) elif Method == 'Srinivasan': Re_crit = helical_transition_Re_Srinivasan(Di, Dc) else: raise ValueError(_bad_curved_transition_method) return Re_crit def friction_factor_curved_methods(Re, Di, Dc, roughness=0.0, check_ranges=True): r'''Returns a list of correlation names for calculating friction factor of fluid flowing in a curved pipe or helical coil, supporting both laminar and turbulent regimes. Examples -------- >>> friction_factor_curved_methods(Re=1E5, Di=0.02, Dc=0.5)[0] 'Schmidt turbulent' Parameters ---------- Re : float Reynolds number with `D=Di`, [-] Di : float Inner diameter of the tube making up the coil, [m] Dc : float Diameter of the helix/coil measured from the center of the tube on one side to the center of the tube on the other side, [m] roughness : float, optional Roughness of pipe wall [m] check_ranges : bool, optional Whether or not to return only correlations suitable for the provided data, [-] Returns ------- methods : list List of methods in the regime the specified `Re` is in at the given `Di` and `Dc`. ''' Re_crit = helical_Re_crit(Di=Di, Dc=Dc, Method='Schmidt') turbulent = False if Re < Re_crit else True if check_ranges: if turbulent: return list(curved_friction_turbulent_methods_list) else: return list(curved_friction_laminar_methods_list) else: return curved_friction_turbulent_methods_list + curved_friction_laminar_methods_list def friction_factor_curved(Re, Di, Dc, roughness=0.0, Method=None, Rec_method='Schmidt', laminar_method='Schmidt laminar', turbulent_method='Schmidt turbulent', Darcy=True): r'''Calculates friction factor fluid flowing in a curved pipe or helical coil, supporting both laminar and turbulent regimes. Selects the appropriate regime by default, and has default correlation choices. Optionally, a specific correlation can be specified with the `Method` keyword. The default correlations are those recommended in [1]_, and are believed to be the best publicly available. Examples -------- >>> friction_factor_curved(Re=1E5, Di=0.02, Dc=0.5) 0.022961996738387523 Parameters ---------- Re : float Reynolds number with `D=Di`, [-] Di : float Inner diameter of the tube making up the coil, [m] Dc : float Diameter of the helix/coil measured from the center of the tube on one side to the center of the tube on the other side, [m] roughness : float, optional Roughness of pipe wall [m] Returns ------- f : float Friction factor, [-] Other Parameters ---------------- Method : string, optional A string of the function name to use, overriding the default turbulent/ laminar selection. Rec_method : str, optional Critical Reynolds number transition criteria; one of ['Seth Stahel', 'Ito', 'Kubair Kuloor', 'Kutateladze Borishanskii', 'Schmidt', 'Srinivasan']; the default is 'Schmidt'. laminar_method : str, optional Friction factor correlation for the laminar regime; one of ['White', 'Mori Nakayama laminar', 'Schmidt laminar']; the default is 'Schmidt laminar'. turbulent_method : str, optional Friction factor correlation for the turbulent regime; one of ['Guo', 'Ju', 'Schmidt turbulent', 'Prasad', 'Mandel Nigam', 'Mori Nakayama turbulent', 'Czop']; the default is 'Schmidt turbulent'. Darcy : bool, optional If False, will return fanning friction factor, 1/4 of the Darcy value See Also -------- fluids.geometry.HelicalCoil helical_turbulent_fd_Schmidt helical_turbulent_fd_Srinivasan helical_turbulent_fd_Mandal_Nigam helical_turbulent_fd_Ju helical_turbulent_fd_Guo helical_turbulent_fd_Czop helical_turbulent_fd_Prasad helical_turbulent_fd_Mori_Nakayama helical_laminar_fd_Schmidt helical_laminar_fd_Mori_Nakayama helical_laminar_fd_White helical_transition_Re_Schmidt helical_transition_Re_Srinivasan helical_transition_Re_Kutateladze_Borishanskii helical_transition_Re_Kubair_Kuloor helical_transition_Re_Ito helical_transition_Re_Seth_Stahel Notes ----- The range of accuracy of these correlations is much than that in a straight pipe. References ---------- .. [1] Schlunder, Ernst U, and International Center for Heat and Mass Transfer. Heat Exchanger Design Handbook. Washington: Hemisphere Pub. Corp., 1983. ''' Re_crit = helical_Re_crit(Di=Di, Dc=Dc, Method=Rec_method) turbulent = False if Re < Re_crit else True if Method is None: Method2 = turbulent_method if turbulent else laminar_method else: Method2 = Method # Use second variable to keep numba types happy # Laminar if Method2 == 'Schmidt laminar': f = helical_laminar_fd_Schmidt(Re, Di, Dc) elif Method2 == 'White': f = helical_laminar_fd_White(Re, Di, Dc) elif Method2 == 'Mori Nakayama laminar': f = helical_laminar_fd_Mori_Nakayama(Re, Di, Dc) # Turbulent with roughness support elif Method2 == 'Schmidt turbulent': f = helical_turbulent_fd_Schmidt(Re, Di, Dc, roughness) elif Method2 == 'Prasad': f = helical_turbulent_fd_Prasad(Re, Di, Dc, roughness) elif Method2 == 'Ju': f = helical_turbulent_fd_Ju(Re, Di, Dc, roughness) elif Method2 == 'Mandel Nigam': f = helical_turbulent_fd_Mandal_Nigam(Re, Di, Dc, roughness) # Turbulent without roughness support elif Method2 == 'Mori Nakayama turbulent': f = helical_turbulent_fd_Mori_Nakayama(Re, Di, Dc) elif Method2 == 'Czop': f = helical_turbulent_fd_Czop(Re, Di, Dc) elif Method2 == 'Guo': f = helical_turbulent_fd_Guo(Re, Di, Dc) elif Method2 == 'Srinivasan turbulent': f = helical_turbulent_fd_Srinivasan(Re, Di, Dc) else: raise ValueError('Invalid method for friction factor calculation') if not Darcy: f *= 0.25 return f ### Plate heat exchanger single phase def friction_plate_Martin_1999(Re, plate_enlargement_factor): r'''Calculates Darcy friction factor for single-phase flow in a Chevron-style plate heat exchanger according to [1]_. .. math:: \frac{1}{\sqrt{f_f}} = \frac{\cos \phi}{\sqrt{0.045\tan\phi + 0.09\sin\phi + f_0/\cos(\phi)}} + \frac{1-\cos\phi}{\sqrt{3.8f_1}} .. math:: f_0 = 16/Re \text{ for } Re < 2000 .. math:: f_0 = (1.56\ln Re - 3)^{-2} \text{ for } Re \ge 2000 .. math:: f_1 = \frac{149}{Re} + 0.9625 \text{ for } Re < 2000 .. math:: f_1 = \frac{9.75}{Re^{0.289}} \text{ for } Re \ge 2000 Parameters ---------- Re : float Reynolds number with respect to the hydraulic diameter of the channels, [-] plate_enlargement_factor : float The extra surface area multiplier as compared to a flat plate caused the corrugations, [-] Returns ------- fd : float Darcy friction factor [-] Notes ----- Based on experimental data from Re from 200 - 10000 and enhancement factors calculated with chevron angles of 0 to 80 degrees. See `PlateExchanger` for further clarification on the definitions. The length the friction factor gets multiplied by is not the flow path length, but rather the straight path length from port to port as if there were no chevrons. Note there is a discontinuity at Re = 2000 for the transition from laminar to turbulent flow, although the literature suggests the transition is actually smooth. This was first developed in [2]_ and only minor modifications by the original author were made before its republication in [1]_. This formula is also suggested in [3]_ Examples -------- >>> friction_plate_Martin_1999(Re=20000, plate_enlargement_factor=1.15) 2.284018089834135 References ---------- .. [1] Martin, Holger. "Economic optimization of compact heat exchangers." EF-Conference on Compact Heat Exchangers and Enhancement Technology for the Process Industries, Banff, Canada, July 18-23, 1999, 1999. https://publikationen.bibliothek.kit.edu/1000034866. .. [2] Martin, Holger. "A Theoretical Approach to Predict the Performance of Chevron-Type Plate Heat Exchangers." Chemical Engineering and Processing: Process Intensification 35, no. 4 (January 1, 1996): 301-10. https://doi.org/10.1016/0255-2701(95)04129-X. .. [3] Shah, Ramesh K., and Dusan P. Sekulic. Fundamentals of Heat Exchanger Design. 1st edition. Hoboken, NJ: Wiley, 2002. ''' phi = plate_enlargement_factor if Re < 2000.: f0 = 16./Re f1 = 149./Re + 0.9625 else: f0 = (1.56*log(Re) - 3.0)**-2 f1 = 9.75*Re**-0.289 rhs = cos(phi)*1.0/sqrt(0.045*tan(phi) + 0.09*sin(phi) + f0/cos(phi)) rhs += (1. - cos(phi))*1.0/sqrt(3.8*f1) ff = rhs**-2. return ff*4.0 def friction_plate_Martin_VDI(Re, plate_enlargement_factor): r'''Calculates Darcy friction factor for single-phase flow in a Chevron-style plate heat exchanger according to [1]_. .. math:: \frac{1}{\sqrt{f_d}} = \frac{\cos \phi}{\sqrt{0.28\tan\phi + 0.36\sin\phi + f_0/\cos(\phi)}} + \frac{1-\cos\phi}{\sqrt{3.8f_1}} .. math:: f_0 = 64/Re \text{ for } Re < 2000 .. math:: f_0 = (1.56\ln Re - 3)^{-2} \text{ for } Re \ge 2000 .. math:: f_1 = \frac{597}{Re} + 3.85 \text{ for } Re < 2000 .. math:: f_1 = \frac{39}{Re^{0.289}} \text{ for } Re \ge 2000 Parameters ---------- Re : float Reynolds number with respect to the hydraulic diameter of the channels, [-] plate_enlargement_factor : float The extra surface area multiplier as compared to a flat plate caused the corrugations, [-] Returns ------- fd : float Darcy friction factor [-] Notes ----- Based on experimental data from Re from 200 - 10000 and enhancement factors calculated with chevron angles of 0 to 80 degrees. See `PlateExchanger` for further clarification on the definitions. The length the friction factor gets multiplied by is not the flow path length, but rather the straight path length from port to port as if there were no chevrons. Note there is a discontinuity at Re = 2000 for the transition from laminar to turbulent flow, although the literature suggests the transition is actually smooth. This is a revision of the Martin's earlier model, adjusted to predidct higher friction factors. There are three parameters in this model, a, b and c; it is posisble to adjust them to better fit a know exchanger's pressure drop. See Also -------- friction_plate_Martin_1999 Examples -------- >>> friction_plate_Martin_VDI(Re=20000, plate_enlargement_factor=1.15) 2.702534119024076 References ---------- .. [1] Gesellschaft, V. D. I., ed. VDI Heat Atlas. 2nd edition. Berlin; New York:: Springer, 2010. ''' phi = plate_enlargement_factor if Re < 2000.: f0 = 64./Re f1 = 597./Re + 3.85 else: f0 = (1.8*log10(Re) - 1.5)**-2 f1 = 39.*Re**-0.289 a, b, c = 3.8, 0.28, 0.36 rhs = cos(phi)*1.0/sqrt(b*tan(phi) + c*sin(phi) + f0/cos(phi)) rhs += (1. - cos(phi))*1.0/sqrt(a*f1) return rhs**-2.0 Kumar_beta_list = [30.0, 45.0, 50.0, 60.0, 65.0] Kumar_fd_Res = [[10.0, 100.0], [15.0, 300.0], [20.0, 300.0], [40.0, 400.0], [50.0, 500.0]] Kumar_C2s = [[50.0, 19.40, 2.990], [47.0, 18.29, 1.441], [34.0, 11.25, 0.772], [24.0, 3.24, 0.760], [24.0, 2.80, 0.639]] # Is the second in the first row 0.589 (paper) or 0.598 (PHEWorks) # Believed to be the values from the paper, where this graph was # curve fit as the original did not contain and coefficients only a plot Kumar_Ps = [[1.0, 0.589, 0.183], [1.0, 0.652, 0.206], [1.0, 0.631, 0.161], [1.0, 0.457, 0.215], [1.0, 0.451, 0.213]] def friction_plate_Kumar(Re, chevron_angle): r'''Calculates Darcy friction factor for single-phase flow in a **well-designed** Chevron-style plate heat exchanger according to [1]_. The data is believed to have been developed by APV International Limited, since acquired by SPX Corporation. This uses a curve fit of that data published in [2]_. .. math:: f_f = \frac{C_2}{Re^p} C2 and p are coefficients looked up in a table, with varying ranges of Re validity and chevron angle validity. See the source for their exact values. Parameters ---------- Re : float Reynolds number with respect to the hydraulic diameter of the channels, [-] chevron_angle : float Angle of the plate corrugations with respect to the vertical axis (the direction of flow if the plates were straight), between 0 and 90. Many plate exchangers use two alternating patterns; use their average angle for that situation [degrees] Returns ------- fd : float Darcy friction factor [-] Notes ----- Data on graph from Re=0.1 to Re=10000, with chevron angles 30 to 65 degrees. See `PlateExchanger` for further clarification on the definitions. It is believed the constants used in this correlation were curve-fit to the actual graph in [1]_ by the author of [2]_ as there is no The length the friction factor gets multiplied by is not the flow path length, but rather the straight path length from port to port as if there were no chevrons. As the coefficients change, there are numerous small discontinuities, although the data on the graphs is continuous with sharp transitions of the slope. The author of [1]_ states clearly this correlation is "applicable only to well designed Chevron PHEs". Examples -------- >>> friction_plate_Kumar(Re=2000, chevron_angle=30) 2.9760669055634517 References ---------- .. [1] Kumar, H. "The plate heat exchanger: construction and design." In First U.K. National Conference on Heat Transfer: Held at the University of Leeds, 3-5 July 1984, Institute of Chemical Engineering Symposium Series, vol. 86, pp. 1275-1288. 1984. .. [2] Ayub, Zahid H. "Plate Heat Exchanger Literature Survey and New Heat Transfer and Pressure Drop Correlations for Refrigerant Evaporators." Heat Transfer Engineering 24, no. 5 (September 1, 2003): 3-16. doi:10.1080/01457630304056. ''' beta_list_len = len(Kumar_beta_list) for i in range(beta_list_len): if chevron_angle <= Kumar_beta_list[i]: C2_options, p_options, Re_ranges = Kumar_C2s[i], Kumar_Ps[i], Kumar_fd_Res[i] break elif i == beta_list_len-1: C2_options, p_options, Re_ranges = Kumar_C2s[-1], Kumar_Ps[-1], Kumar_fd_Res[-1] Re_len = len(Re_ranges) for j in range(Re_len): if Re <= Re_ranges[j]: C2, p = C2_options[j], p_options[j] break elif j == Re_len-1: C2, p = C2_options[-1], p_options[-1] # Originally in Fanning friction factor basis return 4.0*C2*Re**-p def friction_plate_Muley_Manglik(Re, chevron_angle, plate_enlargement_factor): r'''Calculates Darcy friction factor for single-phase flow in a Chevron-style plate heat exchanger according to [1]_, also shown and recommended in [2]_. .. math:: f_f = [2.917 - 0.1277\beta + 2.016\times10^{-3} \beta^2] \times[20.78 - 19.02\phi + 18.93\phi^2 - 5.341\phi^3] \times Re^{-[0.2 + 0.0577\sin[(\pi \beta/45)+2.1]]} Parameters ---------- Re : float Reynolds number with respect to the hydraulic diameter of the channels, [-] chevron_angle : float Angle of the plate corrugations with respect to the vertical axis (the direction of flow if the plates were straight), between 0 and 90. Many plate exchangers use two alternating patterns; use their average angle for that situation [degrees] plate_enlargement_factor : float The extra surface area multiplier as compared to a flat plate caused the corrugations, [-] Returns ------- fd : float Darcy friction factor [-] Notes ----- Based on experimental data of plate enacement factors up to 1.5, and valid for Re > 1000 and chevron angles from 30 to 60 degrees with sinusoidal shape. See `PlateExchanger` for further clarification on the definitions. The length the friction factor gets multiplied by is not the flow path length, but rather the straight path length from port to port as if there were no chevrons. This is a continuous model with no discontinuities. Examples -------- >>> friction_plate_Muley_Manglik(Re=2000, chevron_angle=45, plate_enlargement_factor=1.2) 1.0880870804075413 References ---------- .. [1] Muley, A., and R. M. Manglik. "Experimental Study of Turbulent Flow Heat Transfer and Pressure Drop in a Plate Heat Exchanger With Chevron Plates." Journal of Heat Transfer 121, no. 1 (February 1, 1999): 110-17. doi:10.1115/1.2825923. .. [2] Ayub, Zahid H. "Plate Heat Exchanger Literature Survey and New Heat Transfer and Pressure Drop Correlations for Refrigerant Evaporators." Heat Transfer Engineering 24, no. 5 (September 1, 2003): 3-16. doi:10.1080/01457630304056. ''' beta, phi = chevron_angle, plate_enlargement_factor # Beta is indeed chevron angle; with respect to angle of mvoement # Still might be worth another check t1 = (2.917 - 0.1277*beta + 2.016E-3*beta**2) t2 = (5.474 - 19.02*phi + 18.93*phi**2 - 5.341*phi**3) t3 = -(0.2 + 0.0577*sin(pi*beta/45. + 2.1)) # Equation returns fanning friction factor return 4*t1*t2*Re**t3 # Data from the Handbook of Hydraulic Resistance, 4E, in format (min, max, avg) # roughness in m; may have one, two, or three of the values. seamless_other_metals = {'Commercially smooth': (1.5E-6, 1.0E-5, None)} seamless_steel = {'New and unused': (2.0E-5, 1.0E-4, None), 'Cleaned, following years of use': (None, 4.0E-5, None), 'Bituminized': (None, 4.0E-5, None), 'Heating systems piping; either superheated steam pipes, or just water pipes of systems with deaerators and chemical treatment': (None, None, 1.0E-4), 'Following one year as a gas pipeline': (None, None, 1.2E-4), 'Following multiple year as a gas pipeline': (4.0E-5, 2.0E-4, None), 'Casings in gas wells, different conditions, several years of use': (6.0E-5, 2.2E-4, None), 'Heating systems, saturated steam ducts or water pipes (with minor water leakage < 0.5%, and balance water deaerated)': (None, None, 2.0E-4), 'Water heating system pipelines, any source': (None, None, 2.0E-4), 'Oil pipelines, intermediate operating conditions ': (None, None, 2.0E-4), 'Corroded, moderately ': (None, None, 4.0E-4), 'Scale, small depositions only ': (None, None, 4.0E-4), 'Condensate pipes in open systems or periodically operated steam pipelines': (None, None, 5.0E-4), 'Compressed air piping': (None, None, 8.0E-4), 'Following multiple years of operation, generally corroded or with small amounts of scale': (1.5E-4, 1.0E-3, None), 'Water heating piping without deaeration but with chemical treatment of water; leakage up to 3%; or condensate piping operated periodically': (None, None, 1.0E-3), 'Used water piping': (1.2E-3, 1.5E-3, None), 'Poor condition': (5.0E-3, None, None)} welded_steel = {'Good condition': (4.0E-5, 1.0E-4, None), 'New and covered with bitumen': (None, None, 5.0E-5), 'Used and covered with partially dissolved bitumen; corroded': (None, None, 1.0E-4), 'Used, suffering general corrosion': (None, None, 1.5E-4), 'Surface looks like new, 10 mm lacquer inside, even joints': (3.0E-4, 4.0E-4, None), 'Used Gas mains': (None, None, 5.0E-4), 'Double or simple transverse riveted joints; with or without lacquer; without corrosion': (6.0E-4, 7.0E-4, None), 'Lacquered inside but rusted': (9.5E-4, 1.0E-3, None), 'Gas mains, many years of use, with layered deposits': (None, None, 1.1E-3), 'Non-corroded and with double transverse riveted joints': (1.2E-3, 1.5E-3, None), 'Small deposits': (None, None, 1.5E-3), 'Heavily corroded and with double transverse riveted joints': (None, None, 2.0E-3), 'Appreciable deposits': (2.0E-3, 4.0E-3, None), 'Gas mains, many years of use, deposits of resin/naphthalene': (None, None, 2.4E-3), 'Poor condition': (5.0E-3, None, None)} riveted_steel = { 'Riveted laterally and longitudinally with one line; lacquered on the inside': (3.0E-4, 4.0E-4, None), 'Riveted laterally and longitudinally with two lines; with or without lacquer on the inside and without corrosion': (6.0E-4, 7.0E-4, None), 'Riveted laterally with one line and longitudinally with two lines; thickly lacquered or torred on the inside': (1.2E-3, 1.4E-3, None), 'Riveted longitudinally with six lines, after extensive use': (None, None, 2.0E-3), 'Riveted laterally with four line and longitudinally with six lines; overlapping joints inside': (None, None, 4.0E-3), 'Extremely poor surface; overlapping and uneven joints': (5.0E-3, None, None)} roofing_metal = {'Oiled': (1.5E-4, 1.1E-3, None), 'Not Oiled': (2.0E-5, 4.0E-5, None)} galvanized_steel_tube = {'Bright galvanization; new': (7.0E-5, 1.0E-4, None), 'Ordinary galvanization': (1.0E-4, 1.5E-4, None)} galvanized_steel_sheet = {'New': (None, None, 1.5E-4), 'Used previously for water': (None, None, 1.8E-4)} steel = {'Glass enamel coat': (1.0E-6, 1.0E-5, None), 'New': (2.5E-4, 1.0E-3, None)} cast_iron = {'New, bituminized': (1.0E-4, 1.5E-4, None), 'Coated with asphalt': (1.2E-4, 3.0E-4, None), 'Used water pipelines': (None, None, 1.4E-3), 'Used and corroded': (1.0E-3, 1.5E-3, None), 'Deposits visible': (1.0E-3, 1.5E-3, None), 'Substantial deposits': (2.0E-3, 4.0E-3, None), 'Cleaned after extensive use': (3.0E-4, 1.5E-3, None), 'Severely corroded': (None, 3.0E-3, None)} water_conduit_steel = { 'New, clean, seamless (without joints), well fitted': (1.5E-5, 4.0E-5, None), 'New, clean, welded lengthwise and well fitted': (1.2E-5, 3.0E-5, None), 'New, clean, welded lengthwise and well fitted, with transverse welded joints': (8.0E-5, 1.7E-4, None), 'New, clean, coated, bituminized when manufactured': (1.4E-5, 1.8E-5, None), 'New, clean, coated, bituminized when manufactured, with transverse welded joints': (2.0E-4, 6.0E-4, None), 'New, clean, coated, galvanized': (1.0E-4, 2.0E-4, None), 'New, clean, coated, roughly galvanized': (4.0E-4, 7.0E-4, None), 'New, clean, coated, bituminized, curved': (1.0E-4, 1.4E-3, None), 'Used, clean, slight corrosion': (1.0E-4, 3.0E-4, None), 'Used, clean, moderate corrosion or slight deposits': (3.0E-4, 7.0E-4, None), 'Used, clean, severe corrosion': (8.0E-4, 1.5E-3, None), 'Used, clean, previously cleaned of either deposits or rust': (1.5E-4, 2.0E-4, None)} water_conduit_steel_used = { 'Used, all welded, <2 years use, no deposits': (1.2E-4, 2.4E-4, None), 'Used, all welded, <20 years use, no deposits': (6.0E-4, 5.0E-3, None), 'Used, iron-bacterial corrosion': (3.0E-3, 4.0E-3, None), 'Used, heavy corrosion, or with incrustation (deposit 1.5 - 9 mm deep)': (3.0E-3, 5.0E-3, None), 'Used, heavy corrosion, or with incrustation (deposit 3 - 25 mm deep)': (6.0E-3, 6.5E-3, None), 'Used, inside coating, bituminized, < 2 years use': (1.0E-4, 3.5E-4, None)} steels = {'Seamless tubes made from brass, copper, lead, aluminum': seamless_other_metals, 'Seamless steel tubes': seamless_steel, 'Welded steel tubes': welded_steel, 'Riveted steel tubes': riveted_steel, 'Roofing steel sheets': roofing_metal, 'Galzanized steel tubes': galvanized_steel_tube, 'Galzanized sheet steel': galvanized_steel_sheet, 'Steel tubes': steel, 'Cast-iron tubes': cast_iron, 'Steel water conduits in generating stations': water_conduit_steel, 'Used steel water conduits in generating stations': water_conduit_steel_used} concrete_water_conduits = { 'New and finished with plater; excellent manufacture (joints aligned, prime coated and smoothed)': (5.0E-5, 1.5E-4, None), 'Used and corroded; with a wavy surface and wood framework': (1.0E-3, 4.0E-3, None), 'Old, poor fitting and manufacture; with an overgrown surface and deposits of sand and gravel': (1.0E-3, 4.0E-3, None), 'Very old; damaged surface, very overgrown': (5.0E-3, None, None), 'Water conduit, finished with smoothed plaster': (5.0E-3, None, None), 'New, very well manufactured, hand smoothed, prime-coated joints': (1.0E-4, 2.0E-4, None), 'Hand-smoothed cement finish and smoothed joints': (1.5E-4, 3.5E-4, None), 'Used, no deposits, moderately smooth, steel or wooden casing, joints prime coated but not smoothed': (3.0E-4, 6.0E-4, None), 'Used, prefabricated monoliths, cement plaster (wood floated), rough joints': (5.0E-4, 1.0E-3, None), 'Conduits for water, sprayed surface of concrete': (5.0E-4, 1.0E-3, None), 'Smoothed air-placed, either sprayed concrete or concrete on more concrete': (None, None, 5.0E-4), 'Brushed air-placed, either sprayed concrete or concrete on more concrete': (None, None, 2.3E-3), 'Non-smoothed air-placed, either sprayed concrete or concrete on more concrete': (3.0E-3, 6.0E-3, None), 'Smoothed air-placed, either sprayed concrete or concrete on more concrete': (6.0E-3, 1.7E-2, None)} concrete_reinforced_tubes = {'New': (2.5E-4, 3.4E-4, None), 'Nonprocessed': (2.5E-3, None, None)} asbestos_cement = {'New': (5.0E-5, 1.0E-4, None), 'Average': (6.0E-4, None, None)} cement_tubes = {'Smoothed': (3.0E-4, 8.0E-4, None), 'Non processed': (1.0E-3, 2.0E-3, None), 'Joints, non smoothed': (1.9E-3, 6.4E-3, None)} cement_mortar_channels = { 'Plaster, cement, smoothed joints and protrusions, and a casing': (5.0E-5, 2.2E-4, None), 'Steel trowled': (None, None, 5.0E-4)} cement_other = {'Plaster over a screen': (1.0E-2, 1.5E-2, None), 'Salt-glazed ceramic': (None, None, 1.4E-3), 'Slag-concrete': (None, None, 1.5E-3), 'Slag and alabaster-filling': (1.0E-3, 1.5E-3, None)} concretes = {'Concrete water conduits, no finish': concrete_water_conduits, 'Reinforced concrete tubes': concrete_reinforced_tubes, 'Asbestos cement tubes': asbestos_cement, 'Cement tubes': cement_tubes, 'Cement-mortar plaster channels': cement_mortar_channels, 'Other': cement_other} wood_tube = {'Boards, thoroughly dressed': (None, None, 1.5E-4), 'Boards, well dressed': (None, None, 3.0E-4), 'Boards, undressed but fitted': (None, None, 7.0E-4), 'Boards, undressed': (None, None, 1.0E-3), 'Staved': (None, None, 6.0E-4)} plywood_tube = {'Birch plywood, transverse grain, good quality': (None, None, 1.2E-4), 'Birch plywood, longitudal grain, good quality': (3.0E-5, 5.0E-5, None)} glass_tube = {'Glass': (1.5E-6, 1.0E-5, None)} wood_plywood_glass = {'Wood tubes': wood_tube, 'Plywood tubes': plywood_tube, 'Glass tubes': glass_tube} rock_channels = {'Blast-hewed, little jointing': (1.0E-1, 1.4E-1, None), 'Blast-hewed, substantial jointing': (1.3E-1, 5.0E-1, None), 'Roughly cut or very uneven surface': (5.0E-1, 1.5E+0, None)} unlined_tunnels = {'Rocks, gneiss, diameter 3-13.5 m': (3.0E-1, 7.0E-1, None), 'Rocks, granite, diameter 3-9 m': (2.0E-1, 7.0E-1, None), 'Shale, diameter, diameter 9-12 m': (2.5E-1, 6.5E-1, None), 'Shale, quartz, quartzile, diameter 7-10 m': (2.0E-1, 6.0E-1, None), 'Shale, sedimentary, diameter 4-7 m': (None, None, 4.0E-1), 'Shale, nephrite bearing, diameter 3-8 m': (None, None, 2.0E-1)} tunnels = {'Rough channels in rock': rock_channels, 'Unlined tunnels': unlined_tunnels} # Roughness, in m _roughness = {'Brass': .00000152, 'Lead': .00000152, 'Glass': .00000152, 'Steel': .00000152, 'Asphalted cast iron': .000122, 'Galvanized iron': .000152, 'Cast iron': .000259, 'Wood stave': .000183, 'Rough wood stave': .000914, 'Concrete': .000305, 'Rough concrete': .00305, 'Riveted steel': .000914, 'Rough riveted steel': .00914} # Create a more friendly data structure '''Holds a dict of tuples in format (min, max, average) roughness values in meters from the source Idelʹchik, I. E, and A. S Ginevskiĭ. Handbook of Hydraulic Resistance. Redding, CT: Begell House, 2007. ''' HHR_roughness = {} HHR_roughness_dicts = [tunnels, wood_plywood_glass, concretes, steels] HHR_roughness_categories = {} [HHR_roughness_categories.update(i) for i in HHR_roughness_dicts] for d in HHR_roughness_dicts: for k, v in d.items(): for name, values in v.items(): HHR_roughness[str(k)+', ' + name] = values # For searching only _all_roughness = HHR_roughness.copy() _all_roughness.update(_roughness) # Format : ID: (avg_roughness, coef A (inches), coef B (inches)) _Farshad_roughness = {'Plastic coated': (5E-6, 0.0002, -1.0098), 'Carbon steel, honed bare': (12.5E-6, 0.0005, -1.0101), 'Cr13, electropolished bare': (30E-6, 0.0012, -1.0086), 'Cement lining': (33E-6, 0.0014, -1.0105), 'Carbon steel, bare': (36E-6, 0.0014, -1.0112), 'Fiberglass lining': (38E-6, 0.0016, -1.0086), 'Cr13, bare': (55E-6, 0.0021, -1.0055) } try: if IS_NUMBA: # type: ignore _Farshad_roughness_keys = tuple(_Farshad_roughness.keys()) _Farshad_roughness_values = tuple(_Farshad_roughness.values()) except: pass def roughness_Farshad(ID=None, D=None, coeffs=None): r'''Calculates of retrieves the roughness of a pipe based on the work of [1]_. This function will return an average value for pipes of a given material, or if diameter is provided, will calculate one specifically for the pipe inner diameter according to the following expression with constants `A` and `B`: .. math:: \epsilon = A\cdot D^{B+1} Please not that `A` has units of inches, and `B` requires `D` to be in inches as well. The list of supported materials is as follows: * 'Plastic coated' * 'Carbon steel, honed bare' * 'Cr13, electropolished bare' * 'Cement lining' * 'Carbon steel, bare' * 'Fiberglass lining' * 'Cr13, bare' If `coeffs` and `D` are given, the custom coefficients for the equation as given by the user will be used and `ID` is not required. Parameters ---------- ID : str, optional Name of pipe material from above list D : float, optional Actual inner diameter of pipe, [m] coeffs : tuple, optional (A, B) Coefficients to use directly, instead of looking them up; they are actually dimensional, in the forms (inch^-B, -) but only coefficients with those dimensions are available [-] Returns ------- epsilon : float Roughness of pipe [m] Notes ----- The diameter-dependent form provides lower roughness values for larger diameters. The measurements were based on DIN 4768/1 (1987), using both a "Dektak ST Surface Profiler" and a "Hommel Tester T1000". Both instruments were found to be in agreement. A series of flow tests, in which pressure drop directly measured, were performed as well, with nitrogen gas as an operating fluid. The accuracy of the data from these tests is claimed to be within 1%. Using those results, the authors back-calculated what relative roughness values would be necessary to produce the observed pressure drops. The average difference between this back-calculated roughness and the measured roughness was 6.75%. For microchannels, this model will predict roughness much larger than the actual channel diameter. Examples -------- >>> roughness_Farshad('Cr13, bare', 0.05) 5.3141677781137006e-05 References ---------- .. [1] Farshad, Fred F., and Herman H. Rieke. "Surface Roughness Design Values for Modern Pipes." SPE Drilling & Completion 21, no. 3 (September 1, 2006): 212-215. doi:10.2118/89040-PA. ''' # Case 1, coeffs given; only run if ID is not given. if ID is None and coeffs is not None: A, B = coeffs return A*(D/inch)**(B + 1.0)*inch # Case 2, lookup parameters if ID in _Farshad_roughness: # numba: delete dat = _Farshad_roughness[ID] # numba: delete # try: # numba: uncomment # dat = _Farshad_roughness_values[_Farshad_roughness_keys.index(ID)] # numba: uncomment # except: # numba: uncomment # raise KeyError('ID was not in _Farshad_roughness.') # numba: uncomment if D is None: return dat[0] else: A, B = dat[1], dat[2] return A*(D/inch)**(B+1)*inch roughness_clean_names = set(_roughness.keys()) roughness_clean_names.update(_Farshad_roughness.keys()) def nearest_material_roughness(name, clean=None): r'''Searches through either a dict of clean pipe materials or used pipe materials and conditions and returns the ID of the nearest material. Search is performed with either the standard library's difflib or with the fuzzywuzzy module if available. Parameters ---------- name : str Search term for matching pipe materials clean : bool, optional If True, search only clean pipe database; if False, search only the dirty database; if None, search both Returns ------- ID : str String for lookup of roughness of a pipe, in either `roughness_clean_names` or `HHR_roughness` depending on if clean is True, [-] Examples -------- >>> nearest_material_roughness('condensate pipes', clean=False) # doctest: +SKIP 'Seamless steel tubes, Condensate pipes in open systems or periodically operated steam pipelines' References ---------- .. [1] Idelʹchik, I. E, and A. S Ginevskiĭ. Handbook of Hydraulic Resistance. Redding, CT: Begell House, 2007. ''' if clean is None: d = _all_roughness.keys() else: if clean: d = roughness_clean_names else: d = HHR_roughness.keys() return fuzzy_match(name, d) def material_roughness(ID, D=None, optimism=None): r'''Searches through either a dict of clean pipe materials or used pipe materials and conditions and returns the ID of the nearest material. Search is performed with either the standard library's difflib or with the fuzzywuzzy module if available. Parameters ---------- ID : str Search terms for matching pipe materials, [-] D : float, optional Diameter of desired pipe; used only if ID is in [2]_, [m] optimism : bool, optional For values in [1]_, a minimum, maximum, and average value is normally given; if True, returns the minimum roughness; if False, the maximum roughness; and if None, returns the average roughness. Most entries do not have all three values, so fallback logic to return the closest entry is used, [-] Returns ------- roughness : float Retrieved or calculated roughness, [m] Examples -------- >>> material_roughness('condensate pipes') # doctest: +SKIP 0.0005 References ---------- .. [1] Idelʹchik, I. E, and A. S Ginevskiĭ. Handbook of Hydraulic Resistance. Redding, CT: Begell House, 2007. .. [2] Farshad, Fred F., and Herman H. Rieke. "Surface Roughness Design Values for Modern Pipes." SPE Drilling & Completion 21, no. 3 (September 1, 2006): 212-215. doi:10.2118/89040-PA. ''' if ID in _Farshad_roughness: return roughness_Farshad(ID, D) elif ID in _roughness: return _roughness[ID] elif ID in HHR_roughness: minimum, maximum, avg = HHR_roughness[ID] if optimism is None: return avg if avg else (maximum if maximum else minimum) elif optimism is True: return minimum if minimum else (avg if avg else maximum) else: return maximum if maximum else (avg if avg else minimum) else: return material_roughness(nearest_material_roughness(ID, clean=False), D=D, optimism=optimism) def transmission_factor(fd=None, F=None): r'''Calculates either transmission factor from Darcy friction factor, or Darcy friction factor from the transmission factor. Raises an exception if neither input is given. Transmission factor is a term used in compressible gas flow in pipelines. .. math:: F = \frac{2}{\sqrt{f_d}} .. math:: f_d = \frac{4}{F^2} Parameters ---------- fd : float, optional Darcy friction factor, [-] F : float, optional Transmission factor, [-] Returns ------- fd or F : float Darcy friction factor or transmission factor [-] Examples -------- >>> transmission_factor(fd=0.0185) 14.704292441876154 >>> transmission_factor(F=20) 0.01 References ---------- .. [1] Menon, E. Shashi. Gas Pipeline Hydraulics. 1st edition. Boca Raton, FL: CRC Press, 2005. ''' if fd is not None: return 2./sqrt(fd) elif F is not None: return 4./(F*F) else: raise ValueError('Either Darcy friction factor or transmission factor is needed') def one_phase_dP(m, rho, mu, D, roughness=0.0, L=1.0, Method=None): r'''Calculates single-phase pressure drop. This is a wrapper around other methods. Parameters ---------- m : float Mass flow rate of fluid, [kg/s] rho : float Density of fluid, [kg/m^3] mu : float Viscosity of fluid, [Pa*s] D : float Diameter of pipe, [m] roughness : float, optional Roughness of pipe for use in calculating friction factor, [m] L : float, optional Length of pipe, [m] Method : string, optional A string of the function name to use Returns ------- dP : float Pressure drop of the single-phase flow, [Pa] Notes ----- Examples -------- >>> one_phase_dP(10.0, 1000, 1E-5, .1, L=1) 63.43447321097365 References ---------- .. [1] Crane Co. Flow of Fluids Through Valves, Fittings, and Pipe. Crane, 2009. ''' D2 = D*D V = m/(0.25*pi*D2*rho) Re = Reynolds(V=V, rho=rho, mu=mu, D=D) fd = friction_factor(Re=Re, eD=roughness/D, Method=Method) dP = fd*L/D*(0.5*rho*V*V) return dP def one_phase_dP_acceleration(m, D, rho_o, rho_i, D_i=None): r'''This function handles calculation of one-phase fluid pressure drop due to acceleration for flow inside channels. This is a discrete calculation, providing the total differential in pressure for a given length and should be called as part of a segment solver routine. .. math:: - \left(\frac{\Delta P}{\Delta z}\right)_{acc} = 0.5\rho_i v_i^2 - 0.5\rho_o v_o^2 Parameters ---------- m : float Mass flow rate of fluid, [kg/s] D : float Diameter of pipe, [m] rho_o : float Fluid density out, [kg/m^3] rho_i : float Fluid density in, [kg/m^3] D_i : float Diameter of the entry of the pipe; provide this if the pipe changes diameter and then `D` is the diameter of the pipe exit, [m] Returns ------- dP : float Acceleration component of pressure drop for one-phase flow, [Pa] Notes ----- Examples -------- >>> one_phase_dP_acceleration(m=1, D=0.1, rho_o=827.1, rho_i=830) 0.06848310644876913 >>> one_phase_dP_acceleration(m=1, D=0.1, rho_o=827.1, rho_i=830, D_i=.05) -146.1640615999393 ''' if D_i is None: D_i = D A_i = pi/4*D_i**2 A_o = pi/4*D**2 Q_i = m/rho_i v_i = Q_i/A_i Q_o = m/rho_o v_o = Q_o/A_o rho_avg = 0.5*(rho_o + rho_i) return 0.5*rho_avg*(v_o**2 - v_i**2) # return 0.5*rho_o*v_o**2 - 0.5*rho_i*v_i**2 # G = m/(pi*D*D) # G_i = m/(pi*D_i*D_i) # return 8.0*(G*G/rho_o - G_i*G_i/rho_i) def one_phase_dP_dz_acceleration(m, D, rho, dv_dP, dP_dL, dA_dL): r'''This function handles calculation of one-phase fluid pressure drop due to acceleration for flow inside channels. This is a continuous calculation, providing the differential in pressure per unit length and should be called as part of an integration routine [1]_. .. math:: -\left(\frac{\partial P}{\partial L}\right)_{A} = G^2 \frac{\partial P}{\partial L}\left[\frac{\partial (1/\rho)}{\partial P} \right]- \frac{G^2}{\rho}\frac{1}{A}\frac{\partial A}{\partial L} Parameters ---------- m : float Mass flow rate of fluid, [kg/s] D : float Diameter of pipe, [m] rho : float Fluid density, [kg/m^3] dv_dP : float Derivative of mass specific volume of the fluid with respect to pressure, [m^3/(kg*Pa)] dP_dL : float Pressure drop per unit length of pipe, [Pa/m] dA_dL : float Change in area of pipe per unit length of pipe, [m^2/m] Returns ------- dP_dz : float Acceleration component of pressure drop for one-phase flow, [Pa/m] Notes ----- The value returned here is positive for pressure loss and negative for pressure increase. As `dP_dL` is not known, this equation is normally used in a more complicated way than this function provides; this method can be used to check the consistency of that routine. Examples -------- >>> one_phase_dP_dz_acceleration(m=1, D=0.1, rho=827.1, dv_dP=-1.1E-5, ... dP_dL=5E5, dA_dL=0.0001) 89162.89116373913 References ---------- .. [1] Shoham, Ovadia. Mechanistic Modeling of Gas-Liquid Two-Phase Flow in Pipes. Pap/Cdr edition. Richardson, TX: Society of Petroleum Engineers, 2006. ''' A = 0.25*pi*D*D G = m/A return -G*G*(dP_dL*dv_dP - dA_dL/(rho*A)) def one_phase_dP_gravitational(angle, rho, L=1.0, g=g): r'''This function handles calculation of one-phase liquid-gas pressure drop due to gravitation for flow inside channels. This is either a differential calculation for a segment with an infinitesimal difference in elevation `L` = 1 or a discrete calculation. .. math:: -\left(\frac{dP}{dz} \right)_{grav} = \rho g \sin \theta .. math:: -\left(\Delta P \right)_{grav} = L \rho g \sin \theta Parameters ---------- angle : float The angle of the pipe with respect to the horizontal, [degrees] rho : float Fluid density, [kg/m^3] L : float, optional Length of pipe, [m] g : float, optional Acceleration due to gravity, [m/s^2] Returns ------- dP : float Gravitational component of pressure drop for one-phase flow, [Pa/m] or [Pa] Notes ----- Examples -------- >>> one_phase_dP_gravitational(angle=90, rho=2.6) 25.49729 >>> one_phase_dP_gravitational(angle=90, rho=2.6, L=4) 101.98916 ''' angle = radians(angle) return L*g*sin(angle)*rho fluids-1.0.22/fluids/mixing.py0000644000175000017500000003230114302004506015534 0ustar nileshnilesh# -*- coding: utf-8 -*- """Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2016, 2017, 2018, 2020 Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. This module contains some basic functions for fluid mechanics mixing calculations. For reporting bugs, adding feature requests, or submitting pull requests, please use the `GitHub issue tracker `_ or contact the author at Caleb.Andrew.Bell@gmail.com. .. contents:: :local: Misc Functions -------------- .. autofunction:: size_tee .. autofunction:: COV_motionless_mixer .. autofunction:: K_motionless_mixer .. autofunction:: agitator_time_homogeneous .. autofunction:: Kp_helical_ribbon_Rieger .. autofunction:: time_helical_ribbon_Grenville """ from __future__ import division from fluids.constants import g from math import log, pi, sqrt __all__ = ['agitator_time_homogeneous', 'Kp_helical_ribbon_Rieger', 'time_helical_ribbon_Grenville', 'size_tee', 'COV_motionless_mixer', 'K_motionless_mixer'] max_Fo_for_turbulent = 1/1225. min_regime_constant_for_turbulent = 6370. def adjust_homogeneity(fraction): '''Base: 95% homogeneity''' multiplier = log(1-fraction)/log(0.05) return multiplier def agitator_time_homogeneous(N, P, T, H, mu, rho, D=None, homogeneity=.95): r'''Calculates time for a fluid mizing in a tank with an impeller to reach a specified level of homogeneity, according to [1]_. .. math:: N_p = \frac{Pg}{\rho N^3 D^5} .. math:: Re_{imp} = \frac{\rho D^2 N}{\mu} .. math:: \text{constant} = N_p^{1/3} Re_{imp} .. math:: Fo = 5.2/\text{constant} \text{for turbulent regime} .. math:: Fo = (183/\text{constant})^2 \text{for transition regime} Parameters ---------- N : float: Speed of impeller, [revolutions/s] P : float Actual power required to mix, ignoring mechanical inefficiencies [W] T : float Tank diameter, [m] H : float Tank height, [m] mu : float Mixture viscosity, [Pa*s] rho : float Mixture density, [kg/m^3] D : float, optional Impeller diameter [m] homogeneity : float, optional Fraction completion of mixing, [] Returns ------- t : float Time for specified degree of homogeneity [s] Notes ----- If impeller diameter is not specified, assumed to be 0.5 tank diameters. The first example is solved forward rather than backwards here. A rather different result is obtained, but is accurate. No check to see if the mixture if laminar is currently implemented. This would under predict the required time. Examples -------- >>> agitator_time_homogeneous(D=36*.0254, N=56/60., P=957., T=1.83, H=1.83, mu=0.018, rho=1020, homogeneity=.995) 15.143198226374668 >>> agitator_time_homogeneous(D=1, N=125/60., P=298., T=3, H=2.5, mu=.5, rho=980, homogeneity=.95) 67.7575069865228 References ---------- .. [1] Paul, Edward L, Victor A Atiemo-Obeng, and Suzanne M Kresta. Handbook of Industrial Mixing: Science and Practice. Hoboken, N.J.: Wiley-Interscience, 2004. ''' if not D: D = T*0.5 Np = P*g/rho/N**3/D**5 Re_imp = rho/mu*D**2*N regime_constant = Np**(1/3.)*Re_imp if regime_constant >= min_regime_constant_for_turbulent: Fo = (5.2/regime_constant) else: Fo = (183./regime_constant)**2 time = rho*T**1.5*sqrt(H)/mu*Fo multiplier = adjust_homogeneity(homogeneity) return time*multiplier def Kp_helical_ribbon_Rieger(D, h, nb, pitch, width, T): r'''Calculates product of power number and Reynolds number for a specified geometry for a heilical ribbon mixer in the laminar regime. One of several correlations listed in [1]_, it used more data than other listed correlations and was recommended. .. math:: K_p = 82.8\frac{h}{D}\left(\frac{c}{D}\right)^{-0.38} \left(\frac{p}{D}\right)^{-0.35} \left(\frac{w}{D}\right)^{0.20} n_b^{0.78} Parameters ---------- D : float Impeller diameter [m] h : float Ribbon mixer height, [m] nb : float: Number of blades, [-] pitch : float Height of one turn around a helix [m] width : float Width of one blade [m] T : float Tank diameter, [m] Returns ------- Kp : float Product of Power number and Reynolds number for laminar regime [] Notes ----- Example is from example 9-6 in [1]_. Confirmed. Examples -------- >>> Kp_helical_ribbon_Rieger(D=1.9, h=1.9, nb=2, pitch=1.9, width=.19, T=2) 357.39749163259256 References ---------- .. [1] Paul, Edward L, Victor A Atiemo-Obeng, and Suzanne M Kresta. Handbook of Industrial Mixing: Science and Practice. Hoboken, N.J.: Wiley-Interscience, 2004. .. [2] Rieger, F., V. Novak, and D. Havelkov (1988). The influence of the geometrical shape on the power requirements of ribbon impellers, Int. Chem. Eng., 28, 376-383. ''' c = 0.5*(T - D) return 82.8*h/D*(c/D)**-.38*(pitch/D)**-0.35*(width/D)**0.2*nb**0.78 def time_helical_ribbon_Grenville(Kp, N): r'''Calculates product of time required for mixing in a helical ribbon coil in the laminar regime according to the Grenville [2]_ method recommended in [1]_. .. math:: t = 896\times10^3K_p^{-1.69}/N Parameters ---------- Kp : float Product of power number and Reynolds number for laminar regime [] N : float Speed of impeller, [revolutions/s] Returns ------- t : float Time for homogeneity [s] Notes ----- Degree of homogeneity is not specified. Example is from example 9-6 in [1]_. Confirmed. Examples -------- >>> time_helical_ribbon_Grenville(357.4, 4/60.) 650.980654028894 References ---------- .. [1] Paul, Edward L, Victor A Atiemo-Obeng, and Suzanne M Kresta. Handbook of Industrial Mixing: Science and Practice. Hoboken, N.J.: Wiley-Interscience, 2004. .. [2] Grenville, R. K., T. M. Hutchinson, and R. W. Higbee (2001). Optimisation of helical ribbon geometry for blending in the laminar regime, presented at MIXING XVIII, NAMF. ''' return 896E3*Kp**-1.69/N ### Tee mixer def size_tee(Q1, Q2, D, D2, n=1, pipe_diameters=5): r'''Calculates CoV of an optimal or specified tee for mixing at a tee according to [1]_. Assumes turbulent flow. The smaller stream in injected into the main pipe, which continues straight. COV calculation is according to [2]_. Parameters ---------- Q1 : float Volumetric flow rate of larger stream [m^3/s] Q2 : float Volumetric flow rate of smaller stream [m^3/s] D : float Diameter of pipe after tee [m] D2 : float Diameter of mixing inlet, optional (optimally calculated if not specified) [m] n : float Number of jets, 1 to 4 [] pipe_diameters : float Number of diameters along tail pipe for CoV calculation, 0 to 5 [] Returns ------- CoV : float Standard deviation of dimensionless concentration [-] Notes ----- Not specified if this works for liquid also, though probably not. Example is from example Example 9-6 in [1]_. Low precision used in example. Examples -------- >>> size_tee(Q1=11.7, Q2=2.74, D=0.762, D2=None, n=1, pipe_diameters=5) 0.2940930233038544 References ---------- .. [1] Paul, Edward L, Victor A Atiemo-Obeng, and Suzanne M Kresta. Handbook of Industrial Mixing: Science and Practice. Hoboken, N.J.: Wiley-Interscience, 2004. .. [2] Giorges, Aklilu T. G., Larry J. Forney, and Xiaodong Wang. "Numerical Study of Multi-Jet Mixing." Chemical Engineering Research and Design, Fluid Flow, 79, no. 5 (July 2001): 515-22. doi:10.1205/02638760152424280. ''' V1 = Q1/(pi/4*D**2) # Cv = Q2/(Q1 + Q2) # COV0 = sqrt((1-Cv)/Cv) if D2 is None: D2 = (Q2/Q1)**(2/3.)*D V2 = Q2/(pi/4*D2**2) B = n**2*(D2/D)**2*(V2/V1)**2 if not n == 1 and not n == 2 and not n == 3 and not n ==4: raise ValueError('Only 1 or 4 side streams investigated') if n == 1: if B < 0.7: E = 1.33 else: E = 1/33. + 0.95*log(B/0.7) elif n == 2: if B < 0.8: E = 1.44 else: E = 1.44 + 0.95*log(B/0.8)**1.5 elif n == 3: if B < 0.8: E = 1.75 else: E = 1.75 + 0.95*log(B/0.8)**1.8 else: if B < 2: E = 1.97 else: E = 1.97 + 0.95*log(B/2.)**2 COV = sqrt(0.32/B**0.86*(pipe_diameters)**-E) return COV ### Commercial motionless mixers '''Data from: Paul, Edward L, Victor A Atiemo-Obeng, and Suzanne M Kresta. Handbook of Industrial Mixing: Science and Practice. Hoboken, N.J.: Wiley-Interscience, 2004.''' StatixMixers = {} StatixMixers['KMS'] = {'Name': 'KMS', 'Vendor': 'Chemineer', 'Description': 'Twisted ribbon. Alternating left and right twists.', 'KL': 6.9, 'KiL': 0.87, 'KT': 150, 'KiT': 0.5} StatixMixers['SMX'] = {'Name': 'SMX', 'Vendor': 'Koch-Glitsch', 'Description': 'Guide vanes 45 degrees to pipe axis. Adjacent elements rotated 90 degrees.', 'KL': 37.5, 'KiL': 0.63, 'KT': 500, 'KiT': 0.46} StatixMixers['SMXL'] = {'Name': 'SMXL', 'Vendor': 'Koch-Glitsch', 'Description': 'Similar to SMX, but intersection bars at 30 degrees to pipe axis.', 'KL': 7.8, 'KiL': 0.85, 'KT': 100, 'KiT': 0.87} StatixMixers['SMF'] = {'Name': 'SMF', 'Vendor': 'Koch-Glitsch', 'Description': 'Three guide vanes projecting from the tube wall in a way as to not contact. Designed for applications subject to plugging.', 'KL': 5.6, 'KiL': 0.83, 'KT': 130, 'KiT': 0.4} def COV_motionless_mixer(Ki, Q1, Q2, pipe_diameters): r'''Calculates CoV of a motionless mixer with a regression parameter in [1]_ and originally in [2]_. .. math:: \frac{CoV}{CoV_0} = K_i^{L/D} Parameters ---------- Ki : float Correlation parameter specific to a mixer's design, [-] Q1 : float Volumetric flow rate of larger stream [m^3/s] Q2 : float Volumetric flow rate of smaller stream [m^3/s] pipe_diameters : float Number of diameters along tail pipe for CoV calculation, 0 to 5 [] Returns ------- CoV : float Standard deviation of dimensionless concentration [-] Notes ----- Example 7-8.3.2 in [1]_, solved backwards. Examples -------- >>> COV_motionless_mixer(Ki=.33, Q1=11.7, Q2=2.74, pipe_diameters=4.74/.762) 0.0020900028665727685 References ---------- .. [1] Paul, Edward L, Victor A Atiemo-Obeng, and Suzanne M Kresta. Handbook of Industrial Mixing: Science and Practice. Hoboken, N.J.: Wiley-Interscience, 2004. .. [2] Streiff, F. A., S. Jaffer, and G. Schneider (1999). Design and application of motionless mixer technology, Proc. ISMIP3, Osaka, pp. 107-114. ''' Cv = Q2/(Q1 + Q2) COV0 = sqrt((1-Cv)/Cv) COVr = Ki**(pipe_diameters) COV = COV0*COVr return COV def K_motionless_mixer(K, L, D, fd): r'''Calculates loss coefficient of a motionless mixer with a regression parameter in [1]_ and originally in [2]_. .. math:: K = K_{L/T}f\frac{L}{D} Parameters ---------- K : float Correlation parameter specific to a mixer's design, [-] Also specific to laminar or turbulent regime. L : float Length of the motionless mixer [m] D : float Diameter of pipe [m] fd : float Darcy friction factor [-] Returns ------- K : float Loss coefficient of mixer [-] Notes ----- Related to example 7-8.3.2 in [1]_. Examples -------- >>> K_motionless_mixer(K=150, L=.762*5, D=.762, fd=.01) 7.5 References ---------- .. [1] Paul, Edward L, Victor A Atiemo-Obeng, and Suzanne M Kresta. Handbook of Industrial Mixing: Science and Practice. Hoboken, N.J.: Wiley-Interscience, 2004. .. [2] Streiff, F. A., S. Jaffer, and G. Schneider (1999). Design and application of motionless mixer technology, Proc. ISMIP3, Osaka, pp. 107-114. ''' return L/D*fd*K fluids-1.0.22/fluids/jet_pump.pyi0000644000175000017500000000155014302004506016237 0ustar nileshnilesh# DO NOT EDIT - AUTOMATICALLY GENERATED BY tests/make_test_stubs.py! from __future__ import annotations from typing import List from typing import ( Optional, Union, ) def liquid_jet_pump_ancillary( rhop: float, rhos: float, Kp: float, Ks: float, d_nozzle: Optional[float] = ..., d_mixing: Optional[float] = ..., Qp: Optional[float] = ..., Qs: Optional[float] = ..., P1: Optional[float] = ..., P2: Optional[int] = ... ) -> float: ... def vacuum_air_leakage_Coker_Worthington(P: float, P_atm: float = ..., conservative: bool = ...) -> float: ... def vacuum_air_leakage_HEI2633(V: float, P: float, P_atm: float = ...) -> float: ... def vacuum_air_leakage_Ryans_Croll(V: int, P: int, P_atm: float = ...) -> float: ... def vacuum_air_leakage_Seider(V: int, P: int, P_atm: float = ...) -> float: ... __all__: List[str]fluids-1.0.22/fluids/piping.py0000644000175000017500000020221414302004506015531 0ustar nileshnilesh# -*- coding: utf-8 -*- """Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2016, 2017, 2018, 2020 Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. This module contains functions for looking up standard pipe sizes from different schedules. Similarly, there is a converter between gauge number thickness (and back). For reporting bugs, adding feature requests, or submitting pull requests, please use the `GitHub issue tracker `_ or contact the author at Caleb.Andrew.Bell@gmail.com. .. contents:: :local: Pipe Schedules -------------- .. autofunction:: nearest_pipe Wire Gauge ---------- .. autofunction:: gauge_from_t .. autofunction:: t_from_gauge .. autodata:: wire_schedules Pipe Methods ------------ .. autofunction:: erosional_velocity """ from __future__ import division from fluids.constants import inch, lb, foot from math import sqrt __all__ = ['nearest_pipe', 'gauge_from_t', 't_from_gauge', 'wire_schedules', 'erosional_velocity'] # Schedules 5, 10, 20, 30, 40, 60, 80, 100, 120, 140, 160 from # ASME B36.10M - Welded and Seamless Wrought Steel Pipe # All schedule lists stored in mm, other than NPS. # i = inner diameter, o = outer diameter, and t = wall thickness in variable names NPS5 = [0.5, 0.75, 1, 1.25, 1.5, 2, 2.5, 3, 3.5, 4, 5, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 30] S5i = [18, 23.4, 30.1, 38.9, 45, 57, 68.78, 84.68, 97.38, 110.08, 135.76, 162.76, 213.56, 266.2, 315.88, 347.68, 398.02, 448.62, 498.44, 549.44, 598.92, 749.3] S5o = [21.3, 26.7, 33.4, 42.2, 48.3, 60.3, 73, 88.9, 101.6, 114.3, 141.3, 168.3, 219.1, 273, 323.8, 355.6, 406.4, 457, 508, 559, 610, 762] S5t = [1.65, 1.65, 1.65, 1.65, 1.65, 1.65, 2.11, 2.11, 2.11, 2.11, 2.77, 2.77, 2.77, 3.4, 3.96, 3.96, 4.19, 4.19, 4.78, 4.78, 5.54, 6.35] NPS10 = [0.125, 0.25, 0.375, 0.5, 0.75, 1, 1.25, 1.5, 2, 2.5, 3, 3.5, 4, 5, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36] S10i = [7.82, 10.4, 13.8, 17.08, 22.48, 27.86, 36.66, 42.76, 54.76, 66.9, 82.8, 95.5, 108.2, 134.5, 161.5, 211.58, 264.62, 314.66, 342.9, 393.7, 444.3, 495.3, 546.3, 597.3, 644.16, 695.16, 746.16, 797.16, 848.16, 898.16] S10o = [10.3, 13.7, 17.1, 21.3, 26.7, 33.4, 42.2, 48.3, 60.3, 73, 88.9, 101.6, 114.3, 141.3, 168.3, 219.1, 273, 323.8, 355.6, 406.4, 457, 508, 559, 610, 660, 711, 762, 813, 864, 914] S10t = [1.24, 1.65, 1.65, 2.11, 2.11, 2.77, 2.77, 2.77, 2.77, 3.05, 3.05, 3.05, 3.05, 3.4, 3.4, 3.76, 4.19, 4.57, 6.35, 6.35, 6.35, 6.35, 6.35, 6.35, 7.92, 7.92, 7.92, 7.92, 7.92, 7.92] NPS20 = [8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36] S20i = [206.4, 260.3, 311.1, 339.76, 390.56, 441.16, 488.94, 539.94, 590.94, 634.6, 685.6, 736.6, 787.6, 838.6, 888.6] S20o = [219.1, 273, 323.8, 355.6, 406.4, 457, 508, 559, 610, 660, 711, 762, 813, 864, 914] S20t = [6.35, 6.35, 6.35, 7.92, 7.92, 7.92, 9.53, 9.53, 9.53, 12.7, 12.7, 12.7, 12.7, 12.7, 12.7] NPS30 = [0.125, 0.25, 0.375, 0.5, 0.75, 1, 1.25, 1.5, 2, 2.5, 3, 3.5, 4, 8, 10, 12, 14, 16, 18, 20, 22, 24, 28, 30, 32, 34, 36] S30i = [7.4, 10, 13.4, 16.48, 21.88, 27.6, 36.26, 41.94, 53.94, 63.44, 79.34, 92.04, 104.74, 205.02, 257.4, 307.04, 336.54, 387.34, 434.74, 482.6, 533.6, 581.46, 679.24, 730.24, 781.24, 832.24, 882.24] S30o = [10.3, 13.7, 17.1, 21.3, 26.7, 33.4, 42.2, 48.3, 60.3, 73, 88.9, 101.6, 114.3, 219.1, 273, 323.8, 355.6, 406.4, 457, 508, 559, 610, 711, 762, 813, 864, 914] S30t = [1.45, 1.85, 1.85, 2.41, 2.41, 2.9, 2.97, 3.18, 3.18, 4.78, 4.78, 4.78, 4.78, 7.04, 7.8, 8.38, 9.53, 9.53, 11.13, 12.7, 12.7, 14.27, 15.88, 15.88, 15.88, 15.88, 15.88] NPS40 = [0.125, 0.25, 0.375, 0.5, 0.75, 1, 1.25, 1.5, 2, 2.5, 3, 3.5, 4, 5, 6, 8, 10, 12, 14, 16, 18, 20, 24, 32, 34, 36] S40i = [6.84, 9.22, 12.48, 15.76, 20.96, 26.64, 35.08, 40.94, 52.48, 62.68, 77.92, 90.12, 102.26, 128.2, 154.08, 202.74, 254.46, 303.18, 333.34, 381, 428.46, 477.82, 575.04, 778.04, 829.04, 875.9] S40o = [10.3, 13.7, 17.1, 21.3, 26.7, 33.4, 42.2, 48.3, 60.3, 73, 88.9, 101.6, 114.3, 141.3, 168.3, 219.1, 273, 323.8, 355.6, 406.4, 457, 508, 610, 813, 864, 914] S40t = [1.73, 2.24, 2.31, 2.77, 2.87, 3.38, 3.56, 3.68, 3.91, 5.16, 5.49, 5.74, 6.02, 6.55, 7.11, 8.18, 9.27, 10.31, 11.13, 12.7, 14.27, 15.09, 17.48, 17.48, 17.48, 19.05] NPS60 = [8, 10, 12, 14, 16, 18, 20, 22, 24] S60i = [198.48, 247.6, 295.26, 325.42, 373.08, 418.9, 466.76, 514.54, 560.78] S60o = [219.1, 273, 323.8, 355.6, 406.4, 457, 508, 559, 610] S60t = [10.31, 12.7, 14.27, 15.09, 16.66, 19.05, 20.62, 22.23, 24.61] NPS80 = [0.125, 0.25, 0.375, 0.5, 0.75, 1, 1.25, 1.5, 2, 2.5, 3, 3.5, 4, 5, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24] S80i = [5.48, 7.66, 10.7, 13.84, 18.88, 24.3, 32.5, 38.14, 49.22, 58.98, 73.66, 85.44, 97.18, 122.24, 146.36, 193.7, 242.82, 288.84, 317.5, 363.52, 409.34, 455.62, 501.84, 548.08] S80o = [10.3, 13.7, 17.1, 21.3, 26.7, 33.4, 42.2, 48.3, 60.3, 73, 88.9, 101.6, 114.3, 141.3, 168.3, 219.1, 273, 323.8, 355.6, 406.4, 457, 508, 559, 610] S80t = [2.41, 3.02, 3.2, 3.73, 3.91, 4.55, 4.85, 5.08, 5.54, 7.01, 7.62, 8.08, 8.56, 9.53, 10.97, 12.7, 15.09, 17.48, 19.05, 21.44, 23.83, 26.19, 28.58, 30.96] NPS100 = [8, 10, 12, 14, 16, 18, 20, 22, 24] S100i = [188.92, 236.48, 280.92, 307.94, 354.02, 398.28, 442.92, 489.14, 532.22] S100o = [219.1, 273, 323.8, 355.6, 406.4, 457, 508, 559, 610] S100t = [15.09, 18.26, 21.44, 23.83, 26.19, 29.36, 32.54, 34.93, 38.89] NPS120 = [4, 5, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24] S120i = [92.04, 115.9, 139.76, 182.58, 230.12, 273, 300.02, 344.48, 387.14, 431.8, 476.44, 517.96] S120o = [114.3, 141.3, 168.3, 219.1, 273, 323.8, 355.6, 406.4, 457, 508, 559, 610] S120t = [11.13, 12.7, 14.27, 18.26, 21.44, 25.4, 27.79, 30.96, 34.93, 38.1, 41.28, 46.02] NPS140 = [8, 10, 12, 14, 16, 18, 20, 22, 24] S140i = [177.86, 222.2, 266.64, 292.1, 333.34, 377.66, 419.1, 463.74, 505.26] S140o = [219.1, 273, 323.8, 355.6, 406.4, 457, 508, 559, 610] S140t = [20.62, 25.4, 28.58, 31.75, 36.53, 39.67, 44.45, 47.63, 52.37] NPS160 = [0.5, 0.75, 1, 1.25, 1.5, 2, 2.5, 3, 4, 5, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24] S160i = [11.74, 15.58, 20.7, 29.5, 34.02, 42.82, 53.94, 66.64, 87.32, 109.54, 131.78, 173.08, 215.84, 257.16, 284.18, 325.42, 366.52, 407.98, 451.04, 490.92] S160o = [21.3, 26.7, 33.4, 42.2, 48.3, 60.3, 73, 88.9, 114.3, 141.3, 168.3, 219.1, 273, 323.8, 355.6, 406.4, 457, 508, 559, 610] S160t = [4.78, 5.56, 6.35, 6.35, 7.14, 8.74, 9.53, 11.13, 13.49, 15.88, 18.26, 23.01, 28.58, 33.32, 35.71, 40.49, 45.24, 50.01, 53.98, 59.54] # Schedules designated STD, XS, and XXS NPSSTD = [0.125, 0.25, 0.375, 0.5, 0.75, 1, 1.25, 1.5, 2, 2.5, 3, 3.5, 4, 5, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48] STDi = [6.84, 9.22, 12.48, 15.76, 20.96, 26.64, 35.08, 40.94, 52.48, 62.68, 77.92, 90.12, 102.26, 128.2, 154.08, 202.74, 254.46, 304.74, 336.54, 387.34, 437.94, 488.94, 539.94, 590.94, 640.94, 691.94, 742.94, 793.94, 844.94, 894.94, 945.94, 996.94, 1047.94, 1098.94, 1148.94, 1199.94] STDo = [10.3, 13.7, 17.1, 21.3, 26.7, 33.4, 42.2, 48.3, 60.3, 73, 88.9, 101.6, 114.3, 141.3, 168.3, 219.1, 273, 323.8, 355.6, 406.4, 457, 508, 559, 610, 660, 711, 762, 813, 864, 914, 965, 1016, 1067, 1118, 1168, 1219] STDt = [1.73, 2.24, 2.31, 2.77, 2.87, 3.38, 3.56, 3.68, 3.91, 5.16, 5.49, 5.74, 6.02, 6.55, 7.11, 8.18, 9.27, 9.53, 9.53, 9.53, 9.53, 9.53, 9.53, 9.53, 9.53, 9.53, 9.53, 9.53, 9.53, 9.53, 9.53, 9.53, 9.53, 9.53, 9.53, 9.53] NPSXS = [0.125, 0.25, 0.375, 0.5, 0.75, 1, 1.25, 1.5, 2, 2.5, 3, 3.5, 4, 5, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48] XSi = [5.48, 7.66, 10.7, 13.84, 18.88, 24.3, 32.5, 38.14, 49.22, 58.98, 73.66, 85.44, 97.18, 122.24, 146.36, 193.7, 247.6, 298.4, 330.2, 381, 431.6, 482.6, 533.6, 584.6, 634.6, 685.6, 736.6, 787.6, 838.6, 888.6, 939.6, 990.6, 1041.6, 1092.6, 1142.6, 1193.6] XSo = [10.3, 13.7, 17.1, 21.3, 26.7, 33.4, 42.2, 48.3, 60.3, 73, 88.9, 101.6, 114.3, 141.3, 168.3, 219.1, 273, 323.8, 355.6, 406.4, 457, 508, 559, 610, 660, 711, 762, 813, 864, 914, 965, 1016, 1067, 1118, 1168, 1219] XSt = [2.41, 3.02, 3.2, 3.73, 3.91, 4.55, 4.85, 5.08, 5.54, 7.01, 7.62, 8.08, 8.56, 9.53, 10.97, 12.7, 12.7, 12.7, 12.7, 12.7, 12.7, 12.7, 12.7, 12.7, 12.7, 12.7, 12.7, 12.7, 12.7, 12.7, 12.7, 12.7, 12.7, 12.7, 12.7, 12.7] NPSXXS = [0.5, 0.75, 1, 1.25, 1.5, 2, 2.5, 3, 4, 5, 6, 8, 10, 12] XXSi = [6.36, 11.06, 15.22, 22.8, 28, 38.16, 44.96, 58.42, 80.06, 103.2, 124.4, 174.64, 222.2, 273] XXSo = [21.3, 26.7, 33.4, 42.2, 48.3, 60.3, 73, 88.9, 114.3, 141.3, 168.3, 219.1, 273, 323.8] XXSt = [7.47, 7.82, 9.09, 9.7, 10.15, 11.07, 14.02, 15.24, 17.12, 19.05, 21.95, 22.23, 25.4, 25.4] NPSS5 = [0.5, 0.75, 1, 1.25, 1.5, 2, 2.5, 3, 3.5, 4, 5, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 30] SS5DN = [15, 20, 25, 32, 40, 50, 65, 80, 90, 100, 125, 150, 200, 250, 300, 350, 400, 450, 500, 550, 600, 750] SS5i = [18, 23.4, 30.1, 38.9, 45, 57, 68.78, 84.68, 97.38, 110.08, 135.76, 162.76, 213.56, 266.3, 315.98, 347.68, 398.02, 448.62, 498.44, 549.44, 598.92, 749.3] SS5o = [21.3, 26.7, 33.4, 42.2, 48.3, 60.3, 73, 88.9, 101.6, 114.3, 141.3, 168.3, 219.1, 273.1, 323.9, 355.6, 406.4, 457, 508, 559, 610, 762] SS5t = [1.65, 1.65, 1.65, 1.65, 1.65, 1.65, 2.11, 2.11, 2.11, 2.11, 2.77, 2.77, 2.77, 3.4, 3.96, 3.96, 4.19, 4.19, 4.78, 4.78, 5.54, 6.35] # Schedules 10, 40 and 80 from ASME B36.19M - Stainless Steel Pipe NPSS10 = [0.125, 0.25, 0.375, 0.5, 0.75, 1, 1.25, 1.5, 2, 2.5, 3, 3.5, 4, 5, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 30] SS10DN = [6, 8, 10, 15, 20, 25, 32, 40, 50, 65, 80, 90, 100, 125, 150, 200, 250, 300, 350, 400, 450, 500, 550, 600, 750] SS10i = [7.82, 10.4, 13.8, 17.08, 22.48, 27.86, 36.66, 42.76, 54.76, 66.9, 82.8, 95.5, 108.2, 134.5, 161.5, 211.58, 264.72, 314.76, 346.04, 396.84, 447.44, 496.92, 547.92, 597.3, 746.16] SS10o = [10.3, 13.7, 17.1, 21.3, 26.7, 33.4, 42.2, 48.3, 60.3, 73, 88.9, 101.6, 114.3, 141.3, 168.3, 219.1, 273.1, 323.9, 355.6, 406.4, 457, 508, 559, 610, 762] SS10t = [1.24, 1.65, 1.65, 2.11, 2.11, 2.77, 2.77, 2.77, 2.77, 3.05, 3.05, 3.05, 3.05, 3.4, 3.4, 3.76, 4.19, 4.57, 4.78, 4.78, 4.78, 5.54, 5.54, 6.35, 7.92] NPSS40 = [0.125, 0.25, 0.375, 0.5, 0.75, 1, 1.25, 1.5, 2, 2.5, 3, 3.5, 4, 5, 6, 8, 10, 12, 14, 16, 18, 20, 24] SS40DN = [6, 8, 10, 15, 20, 25, 32, 40, 50, 65, 80, 90, 100, 125, 150, 200, 250, 300, 350, 400, 450, 500, 600] SS40i = [6.84, 9.22, 12.48, 15.76, 20.96, 26.64, 35.08, 40.94, 52.48, 62.68, 77.92, 90.12, 102.26, 128.2, 154.08, 202.74, 254.56, 304.84, 336.54, 387.34, 437.94, 488.94, 590.94] SS40o = [10.3, 13.7, 17.1, 21.3, 26.7, 33.4, 42.2, 48.3, 60.3, 73, 88.9, 101.6, 114.3, 141.3, 168.3, 219.1, 273.1, 323.9, 355.6, 406.4, 457, 508, 610] SS40t = [1.73, 2.24, 2.31, 2.77, 2.87, 3.38, 3.56, 3.68, 3.91, 5.16, 5.49, 5.74, 6.02, 6.55, 7.11, 8.18, 9.27, 9.53, 9.53, 9.53, 9.53, 9.53, 9.53] NPSS80 = [0.125, 0.25, 0.375, 0.5, 0.75, 1, 1.25, 1.5, 2, 2.5, 3, 3.5, 4, 5, 6, 8, 10, 12, 14, 16, 18, 20, 24] SS80DN = [6, 8, 10, 15, 20, 25, 32, 40, 50, 65, 80, 90, 100, 125, 150, 200, 250, 300, 350, 400, 450, 500, 600] SS80i = [5.48, 7.66, 10.7, 13.84, 18.88, 24.3, 32.5, 38.14, 49.22, 58.98, 73.66, 85.44, 97.18, 122.24, 146.36, 193.7, 247.7, 298.5, 330.2, 381, 431.6, 482.6, 584.6] SS80o = [10.3, 13.7, 17.1, 21.3, 26.7, 33.4, 42.2, 48.3, 60.3, 73, 88.9, 101.6, 114.3, 141.3, 168.3, 219.1, 273.1, 323.9, 355.6, 406.4, 457, 508, 610] SS80t = [2.41, 3.02, 3.2, 3.73, 3.91, 4.55, 4.85, 5.08, 5.54, 7.01, 7.62, 8.08, 8.56, 9.53, 10.97, 12.7, 12.7, 12.7, 12.7, 12.7, 12.7, 12.7, 12.7] # ABS; note the IPS units are the standard. These are converted from IPS. NPS_D1527 = [0.125, 0.25, 0.375, 0.5, 0.75, 1, 1.25, 1.5, 2, 2.5, 3, 3.5, 4, 5, 6, 8, 10, 12] S40i_D1527 = [6.8326, 9.2456, 12.5222, 15.7988, 20.9296, 26.6446, 33.528, 40.894, 52.5018, 62.7126, 77.9272, 90.1192, 102.2604, 128.1938, 154.051, 202.7174, 254.508, 303.2252] S40o_D1527 = S80o_D1527 = [10.287, 13.716, 17.145, 21.336, 26.67, 33.401, 40.64, 48.26, 60.325, 73.025, 88.9, 101.6, 114.3, 141.3002, 168.275, 219.075, 273.05, 323.85] S40t_D1527 = [1.7272, 2.2352, 2.3114, 2.7686, 2.8702, 3.3782, 3.556, 3.683, 3.9116, 5.1562, 5.4864, 5.7404, 6.0198, 6.5532, 7.112, 8.1788, 9.271, 10.3124] S80i_D1527 = [5.461, 7.6708, 10.7442, 13.8684, 18.8468, 24.3078, 30.9372, 38.1, 49.2506, 59.0042, 73.66, 85.4456, 97.1804, 122.2502, 146.3294, 193.675, 242.9256, 288.9504] S80t_D1527 = [2.413, 3.0226, 3.2004, 3.7338, 3.9116, 4.5466, 4.8514, 5.08, 5.5372, 7.0104, 7.62, 8.0772, 8.5598, 9.525, 10.9728, 12.7, 15.0622, 17.4498] # D2680 ABS and PVC; note the IPS units are the standard. These are converted from IPS. NPS_D2680 = [8, 10, 12, 15] SPVCo_D2680 = SABSo_D2680 = [239.014, 298.45, 357.378, 447.548] SPVCi_D2680 = SABSi_D2680 = [196.85, 247.65, 298.45, 374.65] SPVCt_D2680 = SABSt_D2680 = [21.082, 25.4, 29.464, 36.449] # AWWA C900 PVC # Standard does not specify if IPS or SI units are authoritative # SI units are used here. NPS_C900 = [4, 6, 8, 10, 12] SDR14o_C900 = SDR18o_C900 = SDR25o_C900 = [121.9, 175.3, 229.9, 281.9, 335.3] SDR25t_C900 = [4.88, 7.01, 9.19, 11.28, 13.41] SDR25i_C900 = [112.14, 161.28, 211.52, 259.34, 308.48] SDR18t_C900 = [6.78, 9.73, 12.78, 15.67, 18.62] SDR18i_C900 = [108.34, 155.84, 204.34, 250.56, 298.06] SDR14t_C900 = [8.71, 12.52, 16.41, 20.14, 23.95] SDR14i_C900 = [104.48, 150.26, 197.08, 241.62, 287.4] # AWWA C905 # Standard does not specify if IPS or SI units are authoritative # SI units are used here. NPS_C905 = [14, 16, 18, 20, 24, 30, 36, 42, 48] NPSCIDR14_C905 = [14, 16, 18] SCIDR14o_C905 = [388.6, 442.0, 495.3] SCIDR14i_C905 = [333.08, 378.86, 424.54] SCIDR14t_C905 = [27.76, 31.57, 35.38] NPSCIDR18_C905 = [14, 16, 18, 20, 24, 30] SCIDR18o_C905 = [388.6, 442.0, 495.3, 548.6, 655.3, 812.8] SCIDR18i_C905 = [345.42, 392.88, 440.28, 487.64, 582.5, 722.48] SCIDR18t_C905 = [21.59, 24.56, 27.51, 30.48, 36.4, 45.16] NPSCIDR21_C905 = [14, 16, 18, 20, 24, 30, 36] SCIDR21o_C905 = [388.6, 442.0, 495.3, 548.6, 655.3, 812.8, 972.8] SCIDR21i_C905 = [351.58, 399.9, 448.1, 496.32, 592.86, 735.38, 880.14] SCIDR21t_C905 = [18.51, 21.05, 23.6, 26.14, 31.22, 38.71, 46.33] NPSCIDR25_C905 = NPS_C905 SCIDR25o_C905 = [388.6, 442.0, 495.3, 548.6, 655.3, 812.8, 972.8, 1130.3, 1290.3] SCIDR25i_C905 = [357.52, 406.64, 455.68, 504.7, 602.88, 747.78, 894.98, 1039.88, 1187.08] SCIDR25t_C905 = [15.54, 17.68, 19.81, 21.95, 26.21, 32.51, 38.91, 45.21, 51.61] NPSCIDR325_C905 = NPS_C905 SCIDR325o_C905 = [388.6, 442.0, 495.3, 548.6, 655.3, 812.8, 972.8, 1130.3, 1290.3] SCIDR325i_C905 = [364.68, 414.82, 464.82, 514.82, 614.96, 762.76, 912.96, 1060.76, 1210.9] SCIDR325t_C905 = [11.96, 13.59, 15.24, 16.89, 20.17, 25.02, 29.92, 34.77, 39.7] NPSCIDR41_C905 = NPS_C905 SCIDR41o_C905 = [388.6, 442.0, 495.3, 548.6, 655.3, 812.8, 972.8, 1130.3, 1290.3] SCIDR41i_C905 = [369.66, 420.46, 471.12, 521.82, 623.34, 773.18, 925.36, 1075.18, 1227.36] SCIDR41t_C905 = [9.47, 10.77, 12.09, 13.39, 15.98, 19.81, 23.72, 27.56, 31.47] NPSCIDR51_C905 = [18, 20, 24, 30, 36, 42, 48] SCIDR51o_C905 = [495.3, 548.6, 655.3, 812.8, 972.8, 1130.3, 1290.3] SCIDR51i_C905 = [475.9, 527.06, 629.6, 780.94, 934.64, 1086.0, 1239.7] SCIDR51t_C905 = [9.7, 10.77, 12.85, 15.93, 19.08, 22.15, 25.3] NPSIPSDR21_C905 = NPSIPSDR26_C905 = NPSIPSDR325_C905 = NPSIPSDR41_C905 = [14, 16, 18, 20, 24, 30, 36] SIPSDR21o_C905 = SIPSDR26o_C905 = SIPSDR325o_C905 = SIPSDR41o_C905 = [355.6, 406.4, 457.2, 508.0, 609.6, 762.0, 914.4] SIPSDR21i_C905 = [321.76, 367.7, 413.66, 459.64, 551.54, 689.46, 827.32] SIPSDR21t_C905 = [16.92, 19.35, 21.77, 24.18, 29.03, 36.27, 43.54] SIPSDR26i_C905 = [328.26, 375.16, 422.04, 468.94, 562.72, 703.38, 844.04] SIPSDR26t_C905 = [13.67, 15.62, 17.58, 19.53, 23.44, 29.31, 35.18] SIPSDR325i_C905 = [333.76, 381.4, 429.06, 476.76, 572.1, 715.12, 858.12] SIPSDR325t_C905 = [10.92, 12.5, 14.07, 15.62, 18.75, 23.44, 28.14] SIPSDR41i_C905 = [338.28, 386.58, 434.9, 483.2, 579.88, 724.82, 869.8] SIPSDR41t_C905 = [8.66, 9.91, 11.15, 12.4, 14.86, 18.59, 22.3] # ASTM F679 ; note the IPS units are the standard. These are converted from IPS. NPS_F679 = [18, 21, 24, 27, 30, 36, 42, 48, 54, 60] SPS46o_F679 = SPS75o_F679 = SPS115o_F679 = [475.0054, 559.9938, 629.9962, 710.0062, 812.8, 972.82, 1130.3, 1290.32, 1462.024, 1564.894] SPS46t_F679 = [12.6746, 14.9352, 16.7894, 18.923, 21.6662, 25.9334, 30.1498, 34.417, 38.989, 41.7322] SPS46i_F679 = [449.6562, 530.1234, 596.4174, 672.1602, 769.4676, 920.9532, 1070.0004, 1221.486, 1384.046, 1481.4296] SPS75t_F679 = [14.8336, 17.5006, 19.685, 22.1996, 25.4, 30.4038, 35.3314, 40.3352, 45.6946, 48.9204] SPS75i_F679 = [445.3382, 524.9926, 590.6262, 665.607, 762.0, 912.0124, 1059.6372, 1209.6496, 1370.6348, 1467.0532] SPS115t_F679 = [17.0434, 20.0914, 22.5806, 25.4508, 29.1592, 34.8742, 40.5384, 46.2788, 52.4256, 56.134] SPS115i_F679 = [440.9186, 519.811, 584.835, 659.1046, 754.4816, 903.0716, 1049.2232, 1197.7624, 1357.1728, 1452.626] # ASTM D2665 PVC drain and vent pipe; note the IPS units are the standard. These are converted from IPS. NPS_D2665 = [1.25, 1.5, 2, 3, 4, 6, 8, 10, 12, 14, 16, 18, 20, 24] SPVCo_D2665 = [42.164, 48.26, 60.325, 88.9, 114.3, 168.275, 219.075, 273.05, 323.85, 355.6, 406.4, 457.2, 508.0, 609.6] SPVCt_D2665 = [3.556, 3.683, 3.9116, 5.4864, 6.0198, 7.112, 8.1788, 9.271, 10.3124, 10.922, 12.7, 14.2748, 15.0622, 17.4498] SPVCi_D2665 = [35.052, 40.894, 52.5018, 77.9272, 102.2604, 154.051, 202.7174, 254.508, 303.2252, 333.756, 381.0, 428.6504, 477.8756, 574.7004] # ASTM D1785 PVC schedules; note the IPS units are the standard. These are converted from IPS. NPS_D1785 = [0.125, 0.25, 0.375, 0.5, 0.75, 1, 1.25, 1.5, 2, 2.5, 3, 3.5, 4, 5, 6, 8, 10, 12, 14, 16, 18, 20, 24] S40o_D1785 = S80o_D1785 = [10.287, 13.716, 17.145, 21.336, 26.67, 33.401, 42.164, 48.26, 60.325, 73.025, 88.9, 101.6, 114.3, 141.3002, 168.275, 219.075, 273.05, 323.85, 355.6, 406.4, 457.2, 508.0, 609.6] S40i_D1785 = [6.8326, 9.2456, 12.5222, 15.7988, 20.9296, 26.6446, 35.052, 40.894, 52.5018, 62.7126, 77.9272, 90.1192, 102.2604, 128.1938, 154.051, 202.7174, 254.508, 303.2252, 333.4004, 381.0, 428.6504, 477.8756, 574.7004] S40t_D1785 = [1.7272, 2.2352, 2.3114, 2.7686, 2.8702, 3.3782, 3.556, 3.683, 3.9116, 5.1562, 5.4864, 5.7404, 6.0198, 6.5532, 7.112, 8.1788, 9.271, 10.3124, 11.0998, 12.7, 14.2748, 15.0622, 17.4498] S80i_D1785 = [5.461, 7.6708, 10.7442, 13.8684, 18.8468, 24.3078, 32.4612, 38.1, 49.2506, 59.0042, 73.66, 85.4456, 97.1804, 122.2502, 146.3294, 193.675, 242.9256, 288.9504, 317.5, 363.5756, 409.6004, 455.6252, 547.7256] S80t_D1785 = [2.413, 3.0226, 3.2004, 3.7338, 3.9116, 4.5466, 4.8514, 5.08, 5.5372, 7.0104, 7.62, 8.0772, 8.5598, 9.525, 10.9728, 12.7, 15.0622, 17.4498, 19.05, 21.4122, 23.7998, 26.1874, 30.9372] NPS120_D1785 = NPS_D1785[3:18] S120i_D1785 = [12.7, 18.034, 23.241, 31.242, 36.83, 47.625, 57.785, 71.12, 83.82, 92.1004, 115.9002, 139.7254, 182.6006, 230.2256, 273.05] S120t_D1785 = [4.318, 4.318, 5.08, 5.461, 5.715, 6.35, 7.62, 8.89, 8.89, 11.0998, 12.7, 14.2748, 18.2372, 21.4122, 25.4] S120o_D1785 = S80o_D1785[3:18] # ASTM D2241 NPS_D2241 = [0.125, 0.25, 0.375, 0.5, 0.75, 1, 1.25, 1.5, 2, 2.5, 3, 3.5, 4, 5, 6, 8, 10, 12, 14, 16, 18, 20, 24, 30, 36] o_D2241_complete = [10.287, 13.716, 17.145, 21.336, 26.67, 33.401, 42.164, 48.26, 60.325, 73.025, 88.9, 101.6, 114.3, 141.3002, 168.275, 219.075, 273.05, 323.85, 355.6, 406.4, 457.2, 508.0, 609.6, 762.0, 914.4] NPSDR64_D2241 = NPS_D2241[12:18] SDR64o_D2241 = o_D2241_complete[12:18] SDR64t_D2241 = [1.778, 2.2098, 2.6416, 3.429, 4.2672, 5.0546] SDR64i_D2241 = [110.744, 136.8806, 162.9918, 212.217, 264.5156, 313.7408] NPSDR41_D2241 = NPS_D2241[10:] SDR41o_D2241 = o_D2241_complete[10:] SDR41t_D2241 = [2.159, 2.4892, 2.794, 3.4544, 4.1148, 5.334, 6.6548, 7.8994, 8.6614, 9.906, 11.1506, 12.3952, 14.859, 18.5928, 22.3012] SDR41i_D2241 = [84.582, 96.6216, 108.712, 134.3914, 160.0454, 208.407, 259.7404, 308.0512, 338.2772, 386.588, 434.8988, 483.2096, 579.882, 724.8144, 869.7976] NPSDR325_D2241 = NPS_D2241[6:] SDR325o_D2241 = o_D2241_complete[6:] SDR325t_D2241 = [1.524, 1.524, 1.8542, 2.2352, 2.7432, 3.1242, 3.5052, 4.3434, 5.1816, 6.731, 8.4074, 9.9568, 10.922, 12.4968, 14.0716, 15.621, 18.7452, 23.4442, 28.1432] SDR325i_D2241 = [39.116, 45.212, 56.6166, 68.5546, 83.4136, 95.3516, 107.2896, 132.6134, 157.9118, 205.613, 256.2352, 303.9364, 333.756, 381.4064, 429.0568, 476.758, 572.1096, 715.1116, 858.1136] NPSDR26_D2241 = NPS_D2241[5:] SDR26o_D2241 = o_D2241_complete[5:] SDR26t_D2241 = [1.524, 1.6256, 1.8542, 2.3114, 2.794, 3.429, 3.9116, 4.3942, 5.4356, 6.477, 8.4328, 10.4902, 12.446, 13.6652, 15.621, 17.5768, 19.5326, 23.4442, 29.3116, 35.179] SDR26i_D2241 = [30.353, 38.9128, 44.5516, 55.7022, 67.437, 82.042, 93.7768, 105.5116, 130.429, 155.321, 202.2094, 252.0696, 298.958, 328.2696, 375.158, 422.0464, 468.9348, 562.7116, 703.3768, 844.042] NPSDR21_D2241 = NPS_D2241[4:] SDR21o_D2241 = o_D2241_complete[4:] SDR21t_D2241 = [1.524, 1.6002, 2.0066, 2.286, 2.8702, 3.4798, 4.2418, 4.826, 5.4356, 6.731, 8.0264, 10.414, 12.9794, 15.3924, 16.9164, 19.3548, 21.7678, 24.1808, 29.0322, 36.2712, 43.5356] SDR21i_D2241 = [23.622, 30.2006, 38.1508, 43.688, 54.5846, 66.0654, 80.4164, 91.948, 103.4288, 127.8382, 152.2222, 198.247, 247.0912, 293.0652, 321.7672, 367.6904, 413.6644, 459.6384, 551.5356, 689.4576, 827.3288] NPSDR17_D2241 = NPS_D2241[4:] SDR17o_D2241 = o_D2241_complete[4:] SDR17t_D2241 = [1.5748, 1.9558, 2.4892, 2.8448, 3.556, 4.2926, 5.2324, 5.969, 6.731, 8.3058, 9.906, 12.9032, 16.0528, 19.05, 20.9042, 23.9014, 26.8986, 29.8704, 35.8648, 44.831, 53.7972] SDR17i_D2241 = [23.5204, 29.4894, 37.1856, 42.5704, 53.213, 64.4398, 78.4352, 89.662, 100.838, 124.6886, 148.463, 193.2686, 240.9444, 285.75, 313.7916, 358.5972, 403.4028, 448.2592, 537.8704, 672.338, 806.8056] NPSDR135_D2241 = NPS_D2241[:15] SDR135o_D2241 = o_D2241_complete[:15] SDR135t_D2241 = [1.524, 1.524, 1.524, 1.5748, 1.9812, 2.4638, 3.1242, 3.5814, 4.4704, 5.4102, 6.5786, 7.5184, 8.4582, 10.4648, 12.4714] SDR135i_D2241 = [7.239, 10.668, 14.097, 18.1864, 22.7076, 28.4734, 35.9156, 41.0972, 51.3842, 62.2046, 75.7428, 86.5632, 97.3836, 120.3706, 143.3322] # D2241 in Copper tube sizes NPS_CTS_D2241 = [0.5, 0.75, 1, 1.25, 1.5, 2] o_CTS_D2241 = [15.875, 22.225, 28.575, 34.925, 41.275, 53.975] NPSDR21_D2241CTS = NPS_CTS_D2241[2:] SDR21o_D2241CTS = o_CTS_D2241[2:] SDR21t_D2241CTS = [1.524, 1.651, 1.9558, 2.5654] SDR21i_D2241CTS = [25.527, 31.623, 37.3634, 48.8442] NPSDR17_D2241CTS = NPS_CTS_D2241[1:] SDR17o_D2241CTS = o_CTS_D2241[1:] SDR17t_D2241CTS = [1.524, 1.6764, 2.0574, 2.4384, 3.175] SDR17i_D2241CTS = [19.177, 25.2222, 30.8102, 36.3982, 47.625] NPSDR135_D2241CTS = NPS_CTS_D2241 SDR135o_D2241CTS = o_CTS_D2241 SDR135t_D2241CTS = [1.524, 1.651, 2.1082, 2.5908, 3.048, 3.9878] SDR135i_D2241CTS = [12.827, 18.923, 24.3586, 29.7434, 35.179, 45.9994] NPSDR11_D2241CTS = NPS_CTS_D2241 SDR11o_D2241CTS = o_CTS_D2241 SDR11t_D2241CTS = [1.524, 2.032, 2.5908, 3.175, 3.7592, 4.9022] SDR11i_D2241CTS = [12.827, 18.161, 23.3934, 28.575, 33.7566, 44.1706] NPS_D2241PIP = [6, 8, 10, 12, 15, 18, 21, 24, 27] o_D2241PIP = [155.956, 207.264, 259.08, 310.896, 388.62, 475.0054, 559.9938, 629.9962, 710.0062] NPSDR81_D2241PIP = NPS_D2241PIP[:5] SDR81o_D2241PIP = o_D2241PIP[:5] SDR81t_D2241PIP = [1.9304, 2.5654, 3.2004, 3.8354, 4.8006] SDR81i_D2241PIP = [152.0952, 202.1332, 252.6792, 303.2252, 379.0188] NPSDR51_D2241PIP = NPS_D2241PIP SDR51o_D2241PIP = o_D2241PIP SDR51t_D2241PIP = [3.048, 4.064, 5.08, 6.096, 7.62, 9.2964, 10.9728, 12.3444, 13.9192] SDR51i_D2241PIP = [149.86, 199.136, 248.92, 298.704, 373.38, 456.4126, 538.0482, 605.3074, 682.1678] NPSDR41_D2241PIP = NPS_D2241PIP SDR41o_D2241PIP = o_D2241PIP SDR41t_D2241PIP = [3.81, 5.0546, 6.3246, 7.5946, 9.4742, 11.5824, 13.6652, 15.367, 17.3228] SDR41i_D2241PIP = [148.336, 197.1548, 246.4308, 295.7068, 369.6716, 451.8406, 532.6634, 599.2622, 675.3606] NPSDR35_D2241PIP = NPS_D2241PIP[4:] SDR35o_D2241PIP = o_D2241PIP[4:] SDR35t_D2241PIP = [11.0998, 13.5636, 16.002, 18.0086, 20.2946] SDR35i_D2241PIP = [366.4204, 447.8782, 527.9898, 593.979, 669.417] NPSDR325_D2241PIP = NPS_D2241PIP SDR325o_D2241PIP = o_D2241PIP SDR325t_D2241PIP = [4.8006, 6.3754, 7.9756, 9.5758, 11.9634, 14.605, 17.2212, 19.3802, 21.844] SDR325i_D2241PIP = [146.3548, 194.5132, 243.1288, 291.7444, 364.6932, 445.7954, 525.5514, 591.2358, 666.3182] NPSDR26_D2241PIP = NPS_D2241PIP[4:] SDR26o_D2241PIP = o_D2241PIP[4:] SDR26t_D2241PIP = [14.9352, 18.2626, 21.5392, 24.2316, 27.305] SDR26i_D2241PIP = [358.7496, 438.4802, 516.9154, 581.533, 655.3962] NPSDR21_D2241PIP = NPS_D2241PIP[4:5] SDR21o_D2241PIP = o_D2241PIP[4:5] SDR21t_D2241PIP = [18.4912] SDR21i_D2241PIP = [351.6376] # ASTM F441 IPS - has an independent SI and IPS data set NPS_F441 = [0.25, 0.375, 0.5, 0.75, 1, 1.25, 1.5, 2, 2.5, 3, 3.5, 4, 5, 6, 8, 10, 12, 14, 16] DN_F441 = [8, 10, 15, 20, 25, 32, 40, 50, 65, 80, 90, 100, 125, 150, 200, 250, 300, 350, 400] S80o_F441IPS = S40o_F441IPS = [13.716, 17.145, 21.336, 26.67, 33.401, 42.164, 48.26, 60.325, 73.025, 88.9, 101.6, 114.3, 141.3002, 168.275, 219.075, 273.05, 323.85, 355.6, 406.4] S80o_F441SI = S40o_F441SI = [13.7, 17.1, 21.3, 26.7, 33.4, 42.2, 48.3, 60.3, 73, 88.9, 101.6, 114.3, 141.3, 168.3, 219.1, 273.1, 323.9, 355.6, 406.4] S40t_F441IPS = [2.2352, 2.3114, 2.7686, 2.8702, 3.3782, 3.556, 3.683, 3.9116, 5.1562, 5.4864, 5.7404, 6.0198, 6.5532, 7.112, 8.1788, 9.271, 10.3124, 11.0998, 12.7] S40t_F441SI = [2.24, 2.31, 2.77, 2.87, 3.38, 3.56, 3.68, 3.91, 5.16, 5.49, 5.74, 6.02, 6.55, 7.11, 8.18, 9.27, 10.31, 11.1, 12.7] S40i_F441IPS = [9.2456, 12.5222, 15.7988, 20.9296, 26.6446, 35.052, 40.894, 52.5018, 62.7126, 77.9272, 90.1192, 102.2604, 128.1938, 154.051, 202.7174, 254.508, 303.2252, 333.4004, 381.0] S40i_F441SI = [9.22, 12.48, 15.76, 20.96, 26.64, 35.08, 40.94, 52.48, 62.68, 77.92, 90.12, 102.26, 128.2, 154.08, 202.74, 254.56, 303.28, 333.4, 381.0] S80t_F441IPS = [3.0226, 3.2004, 3.7338, 3.9116, 4.5466, 4.8514, 5.08, 5.5372, 7.0104, 7.62, 8.0772, 8.5598, 9.525, 10.9728, 12.7, 15.0622, 17.4498, 19.05, 21.4122] S80t_F441SI = [3.02, 3.2, 3.73, 3.91, 4.55, 4.85, 5.08, 5.54, 7.01, 7.62, 8.08, 8.56, 9.52, 10.97, 12.7, 15.06, 17.45, 19.05, 21.14] S80i_F441IPS = [7.6708, 10.7442, 13.8684, 18.8468, 24.3078, 32.4612, 38.1, 49.2506, 59.0042, 73.66, 85.4456, 97.1804, 122.2502, 146.3294, 193.675, 242.9256, 288.9504, 317.5, 363.5756] S80i_F441SI = [7.66, 10.7, 13.84, 18.88, 24.3, 32.5, 38.14, 49.22, 58.98, 73.66, 85.44, 97.18, 122.26, 146.36, 193.7, 242.98, 289.0, 317.5, 364.12] # ASTM F2619 # Note size 26" is missing in the table but the size it should be is obvious. NPS_F2619 = [0.5, 0.75, 1, 1.25, 1.5, 2, 2.5, 3, 4, 5, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 42, 48, 54, 63, 65] o_F2619IPS = [21.336, 26.67, 33.401, 42.164, 48.26, 60.325, 73.025, 88.9, 114.3, 141.3002, 168.275, 219.075, 273.05, 323.85, 355.6, 406.4, 457.2, 508.0, 558.8, 609.6, 660.4, 711.2, 762.0, 812.8, 863.6, 914.4, 1066.8, 1219.2, 1371.6, 1600.2, 1651.0] o_F2619SI = [21.34, 26.67, 33.4, 42.16, 48.26, 60.33, 73.03, 88.9, 114.3, 141.3, 168.28, 219.08, 273.05, 323.85, 355.6, 406.4, 457.2, 508.0, 558.8, 609.6, 660.4, 711.2, 762.0, 812.8, 863.6, 914.4, 1066.8, 1219.2, 1371.6, 1600.2, 1651.0] NPSDR7_F2619 = NPS_F2619[:20] SDR7o_F2619IPS = o_F2619IPS[:20] SDR7o_F2619SI = o_F2619SI[:20] SDR7t_F2619IPS = [3.048, 3.81, 4.7752, 6.0198, 6.8834, 8.6106, 10.4394, 12.7, 16.3322, 20.193, 24.0284, 31.2928, 39.0144, 46.2534, 50.8, 58.0644, 65.3034, 72.5678, 79.8322, 87.0966] SDR7t_F2619SI = [3.05, 3.81, 4.78, 6.02, 6.88, 8.61, 10.43, 12.7, 16.33, 20.19, 24.03, 31.29, 39.01, 46.25, 50.8, 58.06, 65.3, 72.57, 79.83, 87.1] SDR7i_F2619IPS = [15.24, 19.05, 23.8506, 30.1244, 34.4932, 43.1038, 52.1462, 63.5, 81.6356, 100.9142, 120.2182, 156.4894, 195.0212, 231.3432, 254.0, 290.2712, 326.5932, 362.8644, 399.1356, 435.4068] SDR7i_F2619SI = [15.24, 19.05, 23.84, 30.12, 34.5, 43.11, 52.17, 63.5, 81.64, 100.92, 120.22, 156.5, 195.03, 231.35, 254.0, 290.28, 326.6, 362.86, 399.14, 435.4] NPSDR73_F2619 = NPS_F2619[:20] SDR73o_F2619IPS = o_F2619IPS[:20] SDR73o_F2619SI = o_F2619SI[:20] SDR73t_F2619IPS = [2.921, 3.6576, 4.572, 5.7658, 6.604, 8.255, 10.0076, 12.1666, 15.6464, 19.3548, 23.0632, 30.0228, 37.4142, 44.3738, 48.7172, 55.6768, 62.6364, 69.596, 76.5556, 83.5152] SDR73t_F2619SI = [2.92, 3.66, 4.57, 5.77, 6.6, 8.26, 10.0, 12.17, 15.65, 19.36, 23.06, 30.02, 37.41, 44.37, 48.72, 55.68, 62.64, 69.6, 76.56, 83.52] SDR73i_F2619IPS = [15.494, 19.3548, 24.257, 30.6324, 35.052, 43.815, 53.0098, 64.5668, 83.0072, 102.5906, 122.1486, 159.0294, 198.2216, 235.1024, 258.1656, 295.0464, 331.9272, 368.808, 405.6888, 442.5696] SDR73i_F2619SI = [15.5, 19.35, 24.26, 30.62, 35.06, 43.81, 53.03, 64.56, 83.0, 102.58, 122.16, 159.04, 198.23, 235.11, 258.16, 295.04, 331.92, 368.8, 405.68, 442.56] NPSDR9_F2619 = NPS_F2619[:23] SDR9o_F2619IPS = o_F2619IPS[:23] SDR9o_F2619SI = o_F2619SI[:23] SDR9t_F2619IPS = [2.3622, 2.9718, 3.7084, 4.6736, 5.3594, 6.7056, 8.1026, 9.8806, 12.7, 15.6972, 18.6944, 24.3332, 30.3276, 35.9918, 39.5224, 45.1612, 50.8, 56.4388, 62.0776, 67.7418, 73.3806, 79.0194, 84.6582] SDR9t_F2619SI = [2.36, 2.97, 3.71, 4.67, 5.36, 6.71, 8.1, 9.88, 12.7, 15.7, 18.69, 24.33, 30.33, 35.99, 39.52, 45.16, 50.8, 56.44, 62.08, 67.74, 73.38, 79.02, 84.66] SDR9i_F2619IPS = [16.6116, 20.7264, 25.9842, 32.8168, 37.5412, 46.9138, 56.8198, 69.1388, 88.9, 109.9058, 130.8862, 170.4086, 212.3948, 251.8664, 276.5552, 316.0776, 355.6, 395.1224, 434.6448, 474.1164, 513.6388, 553.1612, 592.6836] SDR9i_F2619SI = [16.62, 20.73, 25.98, 32.82, 37.54, 46.91, 56.83, 69.14, 88.9, 109.9, 130.9, 170.42, 212.39, 251.87, 276.56, 316.08, 355.6, 395.12, 434.64, 474.12, 513.64, 553.16, 592.68] NPSDR11_F2619 = NPS_F2619[:26] SDR11o_F2619IPS = o_F2619IPS[:26] SDR11o_F2619SI = o_F2619SI[:26] SDR11t_F2619IPS = [1.9304, 2.413, 3.048, 3.8354, 4.3942, 5.4864, 6.6294, 8.0772, 10.3886, 12.8524, 15.2908, 19.9136, 24.8158, 29.4386, 32.3342, 36.957, 41.5544, 46.1772, 50.8, 55.4228, 60.0456, 64.643, 69.2658, 73.8886, 78.5114, 83.1342] SDR11t_F2619SI = [1.93, 2.41, 3.05, 3.84, 4.39, 5.49, 6.63, 8.08, 10.39, 12.85, 15.29, 19.91, 24.82, 29.44, 32.33, 36.96, 41.55, 46.18, 50.8, 55.42, 60.05, 62.23, 69.27, 73.89, 78.51, 83.13] SDR11i_F2619IPS = [17.4752, 21.844, 27.305, 34.4932, 39.4716, 49.3522, 59.7662, 72.7456, 93.5228, 115.5954, 137.6934, 179.2478, 223.4184, 264.9728, 290.9316, 332.486, 374.0912, 415.6456, 457.2, 498.7544, 540.3088, 581.914, 623.4684, 665.0228, 706.5772, 748.1316] SDR11i_F2619SI = [17.48, 21.85, 27.3, 34.48, 39.48, 49.35, 59.77, 72.74, 93.52, 115.6, 137.7, 179.26, 223.41, 264.97, 290.94, 332.48, 374.1, 415.64, 457.2, 498.76, 540.3, 586.74, 623.46, 665.02, 706.58, 748.14] NPSDR135_F2619 = NPS_F2619[:27] SDR135o_F2619IPS = o_F2619IPS[:27] SDR135o_F2619SI = o_F2619SI[:27] SDR135t_F2619IPS = [1.5748, 1.9812, 2.4638, 3.1242, 3.5814, 4.4704, 5.4102, 6.5786, 8.4582, 10.4648, 12.4714, 16.2306, 20.2184, 23.9776, 26.3398, 30.099, 33.8582, 37.6174, 41.402, 45.1612, 48.9204, 52.6796, 56.4388, 60.198, 63.9826, 67.7418, 79.0194] SDR135t_F2619SI = [1.58, 1.98, 2.46, 3.12, 3.58, 4.47, 5.41, 6.58, 8.46, 10.47, 12.47, 16.23, 20.22, 23.98, 26.34, 30.1, 33.86, 37.62, 41.4, 45.16, 48.92, 52.68, 56.44, 60.2, 63.98, 67.74, 79.02] SDR135i_F2619IPS = [18.1864, 22.7076, 28.4734, 35.9156, 41.0972, 51.3842, 62.2046, 75.7428, 97.3836, 120.3706, 143.3322, 186.6138, 232.6132, 275.8948, 302.9204, 346.202, 389.4836, 432.7652, 475.996, 519.2776, 562.5592, 605.8408, 649.1224, 692.404, 735.6348, 778.9164, 908.7612] SDR135i_F2619SI = [18.18, 22.71, 28.48, 35.92, 41.1, 51.39, 62.21, 75.74, 97.38, 120.36, 143.34, 186.62, 232.61, 275.89, 302.92, 346.2, 389.48, 432.76, 476.0, 519.28, 562.56, 605.84, 649.12, 692.4, 735.64, 778.92, 908.76] NPSDR17_F2619 = NPS_F2619[5:29] SDR17o_F2619IPS = o_F2619IPS[5:29] SDR17o_F2619SI = o_F2619SI[5:29] SDR17t_F2619IPS = [3.556, 4.2926, 5.2324, 6.731, 8.3058, 9.906, 12.8778, 16.0528, 19.05, 20.9296, 23.9014, 26.8986, 29.8704, 32.8676, 35.8648, 38.8366, 41.8338, 44.831, 47.8028, 50.8, 53.7972, 62.7634, 71.7296, 80.6704] SDR17t_F2619SI = [3.56, 4.29, 5.23, 6.73, 8.31, 9.91, 12.88, 16.05, 19.05, 20.93, 23.9, 26.9, 29.87, 32.87, 35.86, 38.84, 41.83, 44.83, 47.8, 50.8, 53.8, 62.76, 71.73, 80.67] SDR17i_F2619IPS = [53.213, 64.4398, 78.4352, 100.838, 124.6886, 148.463, 193.3194, 240.9444, 285.75, 313.7408, 358.5972, 403.4028, 448.2592, 493.0648, 537.8704, 582.7268, 627.5324, 672.338, 717.1944, 762.0, 806.8056, 941.2732, 1075.7408, 1210.2592] SDR17i_F2619SI = [53.21, 64.45, 78.44, 100.84, 124.68, 148.46, 193.32, 240.95, 285.75, 313.74, 358.6, 403.4, 448.26, 493.06, 537.88, 582.72, 627.54, 672.34, 717.2, 762.0, 806.8, 941.28, 1075.74, 1210.26] NPSDR21_F2619 = NPS_F2619[6:] SDR21o_F2619IPS = o_F2619IPS[6:] SDR21o_F2619SI = o_F2619SI[6:] SDR21t_F2619IPS = [3.4798, 4.2418, 5.4356, 6.731, 8.001, 10.4394, 13.0048, 15.4178, 16.9418, 19.3548, 21.7678, 24.1808, 26.6192, 29.0322, 31.4452, 33.8582, 36.2966, 38.7096, 41.1226, 43.5356, 50.8, 58.0644, 65.3034, 76.2, 78.613] SDR21t_F2619SI = [3.48, 4.24, 5.44, 6.73, 8, 10.44, 13, 15.42, 16.94, 19.35, 21.77, 24.18, 26.62, 29.03, 31.45, 33.86, 36.3, 38.71, 41.12, 43.54, 50.8, 58.06, 65.3, 76.2, 78.61] SDR21i_F2619IPS = [66.0654, 80.4164, 103.4288, 127.8382, 152.273, 198.1962, 247.0404, 293.0144, 321.7164, 367.6904, 413.6644, 459.6384, 505.5616, 551.5356, 597.5096, 643.4836, 689.4068, 735.3808, 781.3548, 827.3288, 965.2, 1103.0712, 1240.9932, 1447.8, 1493.774] SDR21i_F2619SI = [66.07, 80.42, 103.42, 127.84, 152.28, 198.2, 247.05, 293.01, 321.72, 367.7, 413.66, 459.64, 505.56, 551.54, 597.5, 643.48, 689.4, 735.38, 781.36, 827.32, 965.2, 1103.08, 1241.0, 1447.8, 1493.78] NPSDR26_F2619 = NPS_F2619[8:] SDR26o_F2619IPS = o_F2619IPS[8:] SDR26o_F2619SI = o_F2619SI[8:] SDR26t_F2619IPS = [4.3942, 5.4356, 6.477, 8.4328, 10.4902, 12.446, 13.6652, 15.621, 17.5768, 19.5326, 21.4884, 23.4442, 25.4, 27.3558, 29.3116, 31.2674, 33.2232, 35.179, 41.021, 46.8884, 52.7558, 61.5442, 63.5] SDR26t_F2619SI = [4.39, 5.43, 6.48, 8.43, 10.49, 12.45, 13.67, 15.62, 17.58, 20.22, 21.49, 23.44, 25.4, 27.36, 29.31, 31.27, 33.22, 35.18, 41.02, 46.89, 52.76, 61.55, 63.5] SDR26i_F2619IPS = [105.5116, 130.429, 155.321, 202.2094, 252.0696, 298.958, 328.2696, 375.158, 422.0464, 468.9348, 515.8232, 562.7116, 609.6, 656.4884, 703.3768, 750.2652, 797.1536, 844.042, 984.758, 1125.4232, 1266.0884, 1477.1116, 1524.0] SDR26i_F2619SI = [105.52, 130.44, 155.32, 202.22, 252.07, 298.95, 328.26, 375.16, 422.04, 467.56, 515.82, 562.72, 609.6, 656.48, 703.38, 750.26, 797.16, 844.04, 984.76, 1125.42, 1266.08, 1477.1, 1524.0] NPSDR325_F2619 = NPS_F2619[8:] SDR325o_F2619IPS = o_F2619IPS[8:] SDR325o_F2619SI = o_F2619SI[8:] SDR325t_F2619IPS = [3.5052, 4.3434, 5.1816, 6.731, 8.4074, 9.9568, 10.9474, 12.4968, 14.0716, 15.621, 17.1958, 18.7452, 20.32, 21.8948, 23.4442, 25.019, 26.5684, 28.1432, 32.8168, 37.5158, 42.2148, 49.2252, 50.8] SDR325t_F2619SI = [3.51, 4.35, 5.18, 6.73, 8.41, 9.96, 10.95, 12.5, 14.07, 15.62, 17.2, 18.75, 20.32, 21.89, 23.44, 25.02, 26.57, 28.14, 32.82, 37.52, 42.21, 49.22, 50.8] SDR325i_F2619IPS = [107.2896, 132.6134, 157.9118, 205.613, 256.2352, 303.9364, 333.7052, 381.4064, 429.0568, 476.758, 524.4084, 572.1096, 619.76, 667.4104, 715.1116, 762.762, 810.4632, 858.1136, 1001.1664, 1144.1684, 1287.1704, 1501.7496, 1549.4] SDR325i_F2619SI = [107.28, 132.6, 157.92, 205.62, 256.23, 303.93, 333.7, 381.4, 429.06, 476.76, 524.4, 572.1, 619.76, 667.42, 715.12, 762.76, 810.46, 858.12, 1001.16, 1144.16, 1287.18, 1501.76, 1549.4] schedule_lookup = { '40': (NPS40, S40i, S40o, S40t), '5': (NPS5, S5i, S5o, S5t), '10': (NPS10, S10i, S10o, S10t), '20': (NPS20, S20i, S20o, S20t), '30': (NPS30, S30i, S30o, S30t), '60': (NPS60, S60i, S60o, S60t), '80': (NPS80, S80i, S80o, S80t), '100': (NPS100, S100i, S100o, S100t), '120': (NPS120, S120i, S120o, S120t), '140': (NPS140, S140i, S140o, S140t), '160': (NPS160, S160i, S160o, S160t), 'STD': (NPSSTD, STDi, STDo, STDt), 'XS': (NPSXS, XSi, XSo, XSt), 'XXS': (NPSXXS, XXSi, XXSo, XXSt), '5S': (NPSS5, SS5i, SS5o, SS5t), '10S': (NPSS10, SS10i, SS10o, SS10t), '40S': (NPSS40, SS40i, SS40o, SS40t), '80S': (NPSS80, SS80i, SS80o, SS80t), '40D1527': (NPS_D1527, S40i_D1527, S40o_D1527, S40t_D1527), '80D1527': (NPS_D1527, S80i_D1527, S80o_D1527, S80t_D1527), 'ABSD2680': (NPS_D2680, SABSi_D2680, SABSo_D2680, SABSt_D2680), 'PVCD2680': (NPS_D2680, SPVCi_D2680, SPVCo_D2680, SPVCt_D2680), 'DR25C900': (NPS_C900, SDR25i_C900, SDR25o_C900, SDR25t_C900), 'DR18C900': (NPS_C900, SDR18i_C900, SDR18o_C900, SDR18t_C900), 'DR14C900': (NPS_C900, SDR14i_C900, SDR14o_C900, SDR14t_C900), 'CIDR51C905': (NPSCIDR51_C905, SCIDR51i_C905, SCIDR51o_C905, SCIDR51t_C905), 'CIDR41C905': (NPSCIDR41_C905, SCIDR41i_C905, SCIDR41o_C905, SCIDR41t_C905), 'CIDR325C905': (NPSCIDR325_C905, SCIDR325i_C905, SCIDR325o_C905, SCIDR325t_C905), 'CIDR25C905': (NPSCIDR25_C905, SCIDR25i_C905, SCIDR25o_C905, SCIDR25t_C905), 'CIDR21C905': (NPSCIDR21_C905, SCIDR21i_C905, SCIDR21o_C905, SCIDR21t_C905), 'CIDR18C905': (NPSCIDR18_C905, SCIDR18i_C905, SCIDR18o_C905, SCIDR18t_C905), 'CIDR14C905': (NPSCIDR14_C905, SCIDR14i_C905, SCIDR14o_C905, SCIDR14t_C905), 'IPSDR21': (NPSIPSDR21_C905, SIPSDR21i_C905, SIPSDR21o_C905, SIPSDR21t_C905), 'IPSDR26': (NPSIPSDR26_C905, SIPSDR26i_C905, SIPSDR26o_C905, SIPSDR26t_C905), 'IPSDR325': (NPSIPSDR325_C905, SIPSDR325i_C905, SIPSDR325o_C905, SIPSDR325t_C905), 'IPSDR41': (NPSIPSDR41_C905, SIPSDR41i_C905, SIPSDR41o_C905, SIPSDR41t_C905), 'PS115F679': (NPS_F679, SPS115i_F679, SPS115o_F679, SPS115t_F679), 'PS75F679': (NPS_F679, SPS75i_F679, SPS75o_F679, SPS75t_F679), 'PS46F679': (NPS_F679, SPS46i_F679, SPS46o_F679, SPS46t_F679), 'PVCD2665': (NPS_D2665, SPVCi_D2665, SPVCo_D2665, SPVCt_D2665), '40D1785': (NPS_D1785, S40i_D1785, S40o_D1785, S40t_D1785), '80D1785': (NPS_D1785, S80i_D1785, S80o_D1785, S80t_D1785), '120D1785': (NPS120_D1785, S120i_D1785, S120o_D1785, S120t_D1785), 'DR135D2241': (NPSDR135_D2241, SDR135i_D2241, SDR135o_D2241, SDR135t_D2241), 'DR17D2241': (NPSDR17_D2241, SDR17i_D2241, SDR17o_D2241, SDR17t_D2241), 'DR21D2241': (NPSDR21_D2241, SDR21i_D2241, SDR21o_D2241, SDR21t_D2241), 'DR26D2241': (NPSDR26_D2241, SDR26i_D2241, SDR26o_D2241, SDR26t_D2241), 'DR325D2241': (NPSDR325_D2241, SDR325i_D2241, SDR325o_D2241, SDR325t_D2241), 'DR41D2241': (NPSDR41_D2241, SDR41i_D2241, SDR41o_D2241, SDR41t_D2241), 'DR64D2241': (NPSDR64_D2241, SDR64i_D2241, SDR64o_D2241, SDR64t_D2241), 'DR21D2241CTS': (NPSDR21_D2241CTS, SDR21i_D2241CTS, SDR21o_D2241CTS, SDR21t_D2241CTS), 'DR17D2241CTS': (NPSDR17_D2241CTS, SDR17i_D2241CTS, SDR17o_D2241CTS, SDR17t_D2241CTS), 'DR135D2241CTS': (NPSDR135_D2241CTS, SDR135i_D2241CTS, SDR135o_D2241CTS, SDR135t_D2241CTS), 'DR11D2241CTS': (NPSDR11_D2241CTS, SDR11i_D2241CTS, SDR11o_D2241CTS, SDR11t_D2241CTS), 'DR21D2241PIP': (NPSDR21_D2241PIP, SDR21i_D2241PIP, SDR21o_D2241PIP, SDR21t_D2241PIP), 'DR26D2241PIP': (NPSDR26_D2241PIP, SDR26i_D2241PIP, SDR26o_D2241PIP, SDR26t_D2241PIP), 'DR325D2241PIP': (NPSDR325_D2241PIP, SDR325i_D2241PIP, SDR325o_D2241PIP, SDR325t_D2241PIP), 'DR35D2241PIP': (NPSDR35_D2241PIP, SDR35i_D2241PIP, SDR35o_D2241PIP, SDR35t_D2241PIP), 'DR41D2241PIP': (NPSDR41_D2241PIP, SDR41i_D2241PIP, SDR41o_D2241PIP, SDR41t_D2241PIP), 'DR51D2241PIP': (NPSDR51_D2241PIP, SDR51i_D2241PIP, SDR51o_D2241PIP, SDR51t_D2241PIP), 'DR81D2241PIP': (NPSDR81_D2241PIP, SDR81i_D2241PIP, SDR81o_D2241PIP, SDR81t_D2241PIP), 'S40F441IPS': (NPS_F441, S40i_F441IPS, S40o_F441IPS, S40t_F441IPS), 'S80F441IPS': (NPS_F441, S80i_F441IPS, S80o_F441IPS, S80t_F441IPS), 'S40F441SI': (DN_F441, S40i_F441SI, S40o_F441SI, S40t_F441SI), 'S80F441SI': (DN_F441, S80i_F441SI, S80o_F441SI, S80t_F441SI), 'DR325F2619SI': (NPSDR325_F2619, SDR325i_F2619SI, SDR325o_F2619SI, SDR325t_F2619SI), 'DR26F2619SI': (NPSDR26_F2619, SDR26i_F2619SI, SDR26o_F2619SI, SDR26t_F2619SI), 'DR21F2619SI': (NPSDR21_F2619, SDR21i_F2619SI, SDR21o_F2619SI, SDR21t_F2619SI), 'DR17F2619SI': (NPSDR17_F2619, SDR17i_F2619SI, SDR17o_F2619SI, SDR17t_F2619SI), 'DR135F2619SI': (NPSDR135_F2619, SDR135i_F2619SI, SDR135o_F2619SI, SDR135t_F2619SI), 'DR11F2619SI': (NPSDR11_F2619, SDR11i_F2619SI, SDR11o_F2619SI, SDR11t_F2619SI), 'DR9F2619SI': (NPSDR9_F2619, SDR9i_F2619SI, SDR9o_F2619SI, SDR9t_F2619SI), 'DR73F2619SI': (NPSDR73_F2619, SDR73i_F2619SI, SDR73o_F2619SI, SDR73t_F2619SI), 'DR7F2619SI': (NPSDR7_F2619, SDR7i_F2619SI, SDR7o_F2619SI, SDR7t_F2619SI), 'DR325F2619IPS': (NPSDR325_F2619, SDR325i_F2619IPS, SDR325o_F2619IPS, SDR325t_F2619IPS), 'DR26F2619IPS': (NPSDR26_F2619, SDR26i_F2619IPS, SDR26o_F2619IPS, SDR26t_F2619IPS), 'DR21F2619IPS': (NPSDR21_F2619, SDR21i_F2619IPS, SDR21o_F2619IPS, SDR21t_F2619IPS), 'DR17F2619IPS': (NPSDR17_F2619, SDR17i_F2619IPS, SDR17o_F2619IPS, SDR17t_F2619IPS), 'DR135F2619IPS': (NPSDR135_F2619, SDR135i_F2619IPS, SDR135o_F2619IPS, SDR135t_F2619IPS), 'DR11F2619IPS': (NPSDR11_F2619, SDR11i_F2619IPS, SDR11o_F2619IPS, SDR11t_F2619IPS), 'DR9F2619IPS': (NPSDR9_F2619, SDR9i_F2619IPS, SDR9o_F2619IPS, SDR9t_F2619IPS), 'DR73F2619IPS': (NPSDR73_F2619, SDR73i_F2619IPS, SDR73o_F2619IPS, SDR73t_F2619IPS), 'DR7F2619IPS': (NPSDR7_F2619, SDR7i_F2619IPS, SDR7o_F2619IPS, SDR7t_F2619IPS), } def Di_lookup(Di, NPSes, Dis, Dos, ts): for i in range(len(Dis)): # Go up ascending list; once larger than specified, return if Dis[-1] < Di: return None if Dis[i] >= Di: _nps, _di, _do, _t = NPSes[i], Dis[i], Dos[i], ts[i] return (_nps, _di, _do, _t) raise ValueError('Di lookup failed') def Do_lookup(Do, NPSes, Dis, Dos, ts): for i in range(len(Dos)): # Go up ascending list; once larger than specified, return if Dos[-1] < Do: return None if Dos[i] >= Do: _nps, _di, _do, _t = NPSes[i], Dis[i], Dos[i], ts[i] return (_nps, _di, _do, _t) raise ValueError('Do lookup failed') def NPS_lookup(NPS, NPSes, Dis, Dos, ts): for i in range(len(NPSes)): # Go up ascending list; once larger than specified, return if NPSes[i] == NPS: _nps, _di, _do, _t = NPSes[i], Dis[i], Dos[i], ts[i] return (_nps, _di, _do, _t) raise ValueError('NPS not in list') def nearest_pipe(Do=None, Di=None, NPS=None, schedule='40'): r'''Searches for and finds the nearest standard pipe size to a given specification. Acceptable inputs are: - Nominal pipe size - Nominal pipe size and schedule - Outer diameter `Do` - Outer diameter `Do` and schedule - Inner diameter `Di` - Inner diameter `Di` and schedule Acceptable schedules are: '5', '10', '20', '30', '40', '60', '80', '100', '120', '140', '160', 'STD', 'XS', 'XXS', '5S', '10S', '40S', '80S', '40D1527', '80D1527', 'ABSD2680', 'PVCD2680', 'DR25C900', 'DR18C900', 'DR14C900', 'CIDR51C905', 'CIDR41C905', 'CIDR325C905', 'CIDR25C905', 'CIDR21C905', 'CIDR18C905', 'CIDR14C905', 'IPSDR21', 'IPSDR26', 'IPSDR325', 'IPSDR41', 'PS115F679', 'PS75F679', 'PS46F679', 'PVCD2665', '40D1785', '80D1785', '120D1785', 'DR135D2241', 'DR17D2241', 'DR21D2241', 'DR26D2241', 'DR325D2241', 'DR41D2241', 'DR64D2241', 'DR21D2241CTS', 'DR17D2241CTS', 'DR135D2241CTS', 'DR11D2241CTS', 'DR21D2241PIP', 'DR26D2241PIP', 'DR325D2241PIP', 'DR35D2241PIP', 'DR41D2241PIP', 'DR51D2241PIP', 'DR81D2241PIP', 'S40F441IPS', 'S80F441IPS', 'S40F441SI', 'S80F441SI' 'DR325F2619SI', 'DR26F2619SI', 'DR21F2619SI', 'DR17F2619SI', 'DR135F2619SI', 'DR11F2619SI', 'DR9F2619SI', 'DR73F2619SI', 'DR7F2619SI', 'DR325F2619IPS', 'DR26F2619IPS', 'DR21F2619IPS', 'DR17F2619IPS', 'DR135F2619IPS', 'DR11F2619IPS', 'DR9F2619IPS', 'DR73F2619IPS', 'DR7F2619IPS', Parameters ---------- Do : float Pipe outer diameter, [m] Di : float Pipe inner diameter, [m] NPS : float Nominal pipe size, [-] schedule : str String representing schedule size Returns ------- NPS : float Nominal pipe size, [-] Di : float Pipe inner diameter, [m] Do : float Pipe outer diameter, [m] t : float Pipe wall thickness, [m] Notes ----- Internal units within this function are mm. The imperial schedules are not quite identical to these value, but all rounding differences happen in the sub-0.1 mm level. Examples -------- >>> nearest_pipe(Di=0.021) (1, 0.02664, 0.0334, 0.0033799999999999998) >>> nearest_pipe(Do=.273, schedule='5S') (10, 0.26630000000000004, 0.2731, 0.0034) References ---------- .. [1] American National Standards Institute, and American Society of Mechanical Engineers. B36.10M-2004: Welded and Seamless Wrought Steel Pipe. New York: American Society of Mechanical Engineers, 2004. .. [2] American National Standards Institute, and American Society of Mechanical Engineers. B36-19M-2004: Stainless Steel Pipe. New York, N.Y.: American Society of Mechanical Engineers, 2004. .. [3] F17 Committee. "Specification for Acrylonitrile-Butadiene-Styrene (ABS) Plastic Pipe, Schedules 40 and 80." ASTM International. https://doi.org/10.1520/D1527-99R05. .. [4] F17 Committee. "Specification for Acrylonitrile-Butadiene-Styrene (ABS) and Poly(Vinyl Chloride) (PVC) Composite Sewer Piping." ASTM International. https://doi.org/10.1520/D2680-01R14. .. [5] AWWA-American Water Works Association. "AWWA C900-07 Polyvinyl Chloride (PVC) Pressure Pipe and Fabricated Fittings, 4 In. Through 12 In. (100 Mm Through 300 Mm), for Water Transmission and Distribution." .. [6] AWWA-American Water Works Association. "AWWA C905-97 Polyvinyl Chloride (PVC) Pressure Pipe and Fabricated Fittings, 14 in. Through 48 in. (350 Mm through 1,200 Mm), for Water Transmission and Distribution." .. [7] F17 Committee. "Specification for Poly(Vinyl Chloride) (PVC) Large-Diameter Plastic Gravity Sewer Pipe and Fittings." ASTM International. https://doi.org/10.1520/F0679-16. .. [8] F17 Committee. "Specification for Poly(Vinyl Chloride) (PVC) Plastic Drain, Waste, and Vent Pipe and Fittings." ASTM International. https://doi.org/10.1520/D2665-14. .. [9] F17 Committee. "Specification for Poly(Vinyl Chloride) (PVC) Plastic Pipe, Schedules 40, 80, and 120." ASTM International. https://doi.org/10.1520/D1785-15E01. .. [10] F17 Committee. "Specification for Chlorinated Poly(Vinyl Chloride) (CPVC) Plastic Pipe, Schedules 40 and 80." ASTM International. https://doi.org/10.1520/F0441_F0441M-15. .. [11] F17 Committee. "Specification for High-Density Polyethylene (PE) Line Pipe." ASTM International. https://doi.org/10.1520/F2619_F2619M-20. ''' if Di: Di *= 1E3 if Do: Do *= 1E3 if NPS: NPS = float(NPS) # If accidentally given an numerical schedule, convert it to a string schedule_type = type(schedule) if schedule_type in (int, float): schedule = str(int(schedule)) if schedule not in schedule_lookup: raise ValueError('Schedule not recognized') else: NPSes, Dis, Dos, ts = schedule_lookup[schedule] # Handle the three cases of different inputs if Di is not None: nums = Di_lookup(Di, NPSes, Dis, Dos, ts) elif Do is not None: nums = Do_lookup(Do, NPSes, Dis, Dos, ts) elif NPS is not None: nums = NPS_lookup(NPS, NPSes, Dis, Dos, ts) if nums is None: raise ValueError('Pipe input is larger than max of selected schedule') _nps, _di, _do, _t = nums return _nps, _di/1E3, _do/1E3, _t/1E3 ### Wire gauge schedules # Stub's Steel Wire Gage SSWG_integers = list(range(1, 81)) SSWG_inch = [0.227, 0.219, 0.212, 0.207, 0.204, 0.201, 0.199, 0.197, 0.194, 0.191, 0.188, 0.185, 0.182, 0.18, 0.178, 0.175, 0.172, 0.168, 0.164, 0.161, 0.157, 0.155, 0.153, 0.151, 0.148, 0.146, 0.143, 0.139, 0.134, 0.127, 0.12, 0.115, 0.112, 0.11, 0.108, 0.106, 0.103, 0.101, 0.099, 0.097, 0.095, 0.092, 0.088, 0.085, 0.081, 0.079, 0.077, 0.075, 0.072, 0.069, 0.066, 0.063, 0.058, 0.055, 0.05, 0.045, 0.042, 0.041, 0.04, 0.039, 0.038, 0.037, 0.036, 0.035, 0.033, 0.032, 0.031, 0.03, 0.029, 0.027, 0.026, 0.024, 0.023, 0.022, 0.02, 0.018, 0.016, 0.015, 0.014, 0.013] #SSWG_SI = [round(i*inch, 7) for i in SSWG_inch] # 7 decimals for equal conversion SSWG_SI = [0.0057658, 0.0055626, 0.0053848, 0.0052578, 0.0051816, 0.0051054, 0.0050546, 0.0050038, 0.0049276, 0.0048514, 0.0047752, 0.004699, 0.0046228, 0.004572, 0.0045212, 0.004445, 0.0043688, 0.0042672, 0.0041656, 0.0040894, 0.0039878, 0.003937, 0.0038862, 0.0038354, 0.0037592, 0.0037084, 0.0036322, 0.0035306, 0.0034036, 0.0032258, 0.003048, 0.002921, 0.0028448, 0.002794, 0.0027432, 0.0026924, 0.0026162, 0.0025654, 0.0025146, 0.0024638, 0.002413, 0.0023368, 0.0022352, 0.002159, 0.0020574, 0.0020066, 0.0019558, 0.001905, 0.0018288, 0.0017526, 0.0016764, 0.0016002, 0.0014732, 0.001397, 0.00127, 0.001143, 0.0010668, 0.0010414, 0.001016, 0.0009906, 0.0009652, 0.0009398, 0.0009144, 0.000889, 0.0008382, 0.0008128, 0.0007874, 0.000762, 0.0007366, 0.0006858, 0.0006604, 0.0006096, 0.0005842, 0.0005588, 0.000508, 0.0004572, 0.0004064, 0.000381, 0.0003556, 0.0003302] # British Standard Wire Gage (Imperial Wire Gage) BSWG_integers = [0.143, .167, 0.2, 0.25, 0.33, 0.5] + list(range(51)) BSWG_inch = [0.5, 0.464, 0.432, 0.4, 0.372, 0.348, 0.324, 0.3, 0.276, 0.252, 0.232, 0.212, 0.192, 0.176, 0.16, 0.144, 0.128, 0.116, 0.104, 0.092, 0.08, 0.072, 0.064, 0.056, 0.048, 0.04, 0.036, 0.032, 0.028, 0.024, 0.022, 0.02, 0.018, 0.0164, 0.0149, 0.0136, 0.0124, 0.0116, 0.0108, 0.01, 0.0092, 0.0084, 0.0076, 0.0068, 0.006, 0.0052, 0.0048, 0.0044, 0.004, 0.0036, 0.0032, 0.0028, 0.0024, 0.002, 0.0016, 0.0012, 0.001] #BSWG_SI = [round(i*inch,8) for i in BSWG_inch] # 8 decimals for equal conversion BSWG_SI = [0.0127, 0.0117856, 0.0109728, 0.01016, 0.0094488, 0.0088392, 0.0082296, 0.00762, 0.0070104, 0.0064008, 0.0058928, 0.0053848, 0.0048768, 0.0044704, 0.004064, 0.0036576, 0.0032512, 0.0029464, 0.0026416, 0.0023368, 0.002032, 0.0018288, 0.0016256, 0.0014224, 0.0012192, 0.001016, 0.0009144, 0.0008128, 0.0007112, 0.0006096, 0.0005588, 0.000508, 0.0004572, 0.00041656, 0.00037846, 0.00034544, 0.00031496, 0.00029464, 0.00027432, 0.000254, 0.00023368, 0.00021336, 0.00019304, 0.00017272, 0.0001524, 0.00013208, 0.00012192, 0.00011176, 0.0001016, 9.144e-05, 8.128e-05, 7.112e-05, 6.096e-05, 5.08e-05, 4.064e-05, 3.048e-05, 2.54e-05] # Music Wire Gauge MWG_integers = [45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 0.5, 0.33, 0.25, 0.2, 0.167] #MWG_integers = [.167, 0.2, 0.25, 0.33, 0.5] + list(range(46)) #MWG_inch = [0.004, 0.005, 0.006, 0.007, 0.008, 0.009, 0.01, 0.011, 0.012, # 0.013, 0.014, 0.016, 0.018, 0.02, 0.022, 0.024, 0.026, 0.029, # 0.031, 0.033, 0.035, 0.037, 0.039, 0.041, 0.043, 0.045, 0.047, # 0.049, 0.051, 0.055, 0.059, 0.063, 0.067, 0.071, 0.075, 0.08, # 0.085, 0.09, 0.095, 0.1, 0.106, 0.112, 0.118, 0.124, 0.13, 0.138, # 0.146, 0.154, 0.162, 0.17, 0.18] #MWG_SI = [round(i*inch,7) for i in MWG_inch] # 7 decimals for equal conversion # Scale gets bigger instead of smaller; reverse for convenience #MWG_integers.reverse() #MWG_inch.reverse() MWG_inch = [0.18, 0.17, 0.162, 0.154, 0.146, 0.138, 0.13, 0.124, 0.118, 0.112, 0.106, 0.1, 0.095, 0.09, 0.085, 0.08, 0.075, 0.071, 0.067, 0.063, 0.059, 0.055, 0.051, 0.049, 0.047, 0.045, 0.043, 0.041, 0.039, 0.037, 0.035, 0.033, 0.031, 0.029, 0.026, 0.024, 0.022, 0.02, 0.018, 0.016, 0.014, 0.013, 0.012, 0.011, 0.01, 0.009, 0.008, 0.007, 0.006, 0.005, 0.004] #MWG_SI.reverse() MWG_SI = [0.004572, 0.004318, 0.0041148, 0.0039116, 0.0037084, 0.0035052, 0.003302, 0.0031496, 0.0029972, 0.0028448, 0.0026924, 0.00254, 0.002413, 0.002286, 0.002159, 0.002032, 0.001905, 0.0018034, 0.0017018, 0.0016002, 0.0014986, 0.001397, 0.0012954, 0.0012446, 0.0011938, 0.001143, 0.0010922, 0.0010414, 0.0009906, 0.0009398, 0.000889, 0.0008382, 0.0007874, 0.0007366, 0.0006604, 0.0006096, 0.0005588, 0.000508, 0.0004572, 0.0004064, 0.0003556, 0.0003302, 0.0003048, 0.0002794, 0.000254, 0.0002286, 0.0002032, 0.0001778, 0.0001524, 0.000127, 0.0001016] # Steel Wire Gage -Also Washburn & Moen gage, American Steel gage; # Wire Co.gage; Roebling Wire Gages. SWG_integers = [0.143, .167, 0.2, 0.25, 0.33, 0.5] + list(range(51)) SWG_inch = [0.49, 0.4615, 0.4305, 0.3938, 0.3625, 0.331, 0.3065, 0.283, 0.2625, 0.2437, 0.2253, 0.207, 0.192, 0.177, 0.162, 0.1483, 0.135, 0.1205, 0.1055, 0.0915, 0.08, 0.072, 0.0625, 0.054, 0.0475, 0.041, 0.0348, 0.0318, 0.0286, 0.0258, 0.023, 0.0204, 0.0181, 0.0173, 0.0162, 0.015, 0.014, 0.0132, 0.0128, 0.0118, 0.0104, 0.0095, 0.009, 0.0085, 0.008, 0.0075, 0.007, 0.0066, 0.0062, 0.006, 0.0058, 0.0055, 0.0052, 0.005, 0.0048, 0.0046, 0.0044] #SWG_SI = [round(i*inch,8) for i in SWG_inch] # 8 decimals for equal conversion SWG_SI = [0.012446, 0.0117221, 0.0109347, 0.01000252, 0.0092075, 0.0084074, 0.0077851, 0.0071882, 0.0066675, 0.00618998, 0.00572262, 0.0052578, 0.0048768, 0.0044958, 0.0041148, 0.00376682, 0.003429, 0.0030607, 0.0026797, 0.0023241, 0.002032, 0.0018288, 0.0015875, 0.0013716, 0.0012065, 0.0010414, 0.00088392, 0.00080772, 0.00072644, 0.00065532, 0.0005842, 0.00051816, 0.00045974, 0.00043942, 0.00041148, 0.000381, 0.0003556, 0.00033528, 0.00032512, 0.00029972, 0.00026416, 0.0002413, 0.0002286, 0.0002159, 0.0002032, 0.0001905, 0.0001778, 0.00016764, 0.00015748, 0.0001524, 0.00014732, 0.0001397, 0.00013208, 0.000127, 0.00012192, 0.00011684, 0.00011176] # American Wire or Brown & Sharpe Gage AWG_integers = [.167, 0.2, 0.25, 0.33, 0.5] + list(range(51)) AWG_inch = [0.58, 0.5165, 0.46, 0.4096, 0.3648, 0.3249, 0.2893, 0.2576, 0.2294, 0.2043, 0.1819, 0.162, 0.1443, 0.1285, 0.1144, 0.1019, 0.0907, 0.0808, 0.072, 0.0641, 0.0571, 0.0508, 0.0453, 0.0403, 0.0359, 0.032, 0.0285, 0.0253, 0.0226, 0.0201, 0.0179, 0.0159, 0.0142, 0.0126, 0.0113, 0.01, 0.00893, 0.00795, 0.00708, 0.0063, 0.00561, 0.005, 0.00445, 0.00396, 0.00353, 0.00314, 0.0028, 0.00249, 0.00222, 0.00198, 0.00176, 0.00157, 0.0014, 0.00124, 0.00111, 0.00099] #AWG_SI = [round(i*inch,9) for i in AWG_inch] # 9 decimals for equal conversion AWG_SI = [0.014732, 0.0131191, 0.011684, 0.01040384, 0.00926592, 0.00825246, 0.00734822, 0.00654304, 0.00582676, 0.00518922, 0.00462026, 0.0041148, 0.00366522, 0.0032639, 0.00290576, 0.00258826, 0.00230378, 0.00205232, 0.0018288, 0.00162814, 0.00145034, 0.00129032, 0.00115062, 0.00102362, 0.00091186, 0.0008128, 0.0007239, 0.00064262, 0.00057404, 0.00051054, 0.00045466, 0.00040386, 0.00036068, 0.00032004, 0.00028702, 0.000254, 0.000226822, 0.00020193, 0.000179832, 0.00016002, 0.000142494, 0.000127, 0.00011303, 0.000100584, 8.9662e-05, 7.9756e-05, 7.112e-05, 6.3246e-05, 5.6388e-05, 5.0292e-05, 4.4704e-05, 3.9878e-05, 3.556e-05, 3.1496e-05, 2.8194e-05, 2.5146e-05] # Birmingham or Stub's Iron Wire Gage BWG_integers = [0.2, 0.25, 0.33, 0.5] + list(range(37)) BWG_inch = [0.5, 0.454, 0.425, 0.38, 0.34, 0.3, 0.284, 0.259, 0.238, 0.22, 0.203, 0.18, 0.165, 0.148, 0.134, 0.12, 0.109, 0.095, 0.083, 0.072, 0.065, 0.058, 0.049, 0.042, 0.035, 0.032, 0.028, 0.025, 0.022, 0.02, 0.018, 0.016, 0.014, 0.013, 0.012, 0.01, 0.009, 0.008, 0.007, 0.005, 0.004] #BWG_SI = [round(i*inch,6) for i in BWG_inch] BWG_SI = [0.0127, 0.011532, 0.010795, 0.009652, 0.008636, 0.00762, 0.007214, 0.006579, 0.006045, 0.005588, 0.005156, 0.004572, 0.004191, 0.003759, 0.003404, 0.003048, 0.002769, 0.002413, 0.002108, 0.001829, 0.001651, 0.001473, 0.001245, 0.001067, 0.000889, 0.000813, 0.000711, 0.000635, 0.000559, 0.000508, 0.000457, 0.000406, 0.000356, 0.00033, 0.000305, 0.000254, 0.000229, 0.000203, 0.000178, 0.000127, 0.000102] wire_schedules = {'BWG': (BWG_integers, BWG_inch, BWG_SI, True), 'AWG': (AWG_integers, AWG_inch, AWG_SI, True), 'SWG': (SWG_integers, SWG_inch, SWG_SI, True), 'MWG': (MWG_integers, MWG_inch, MWG_SI, False), 'BSWG': (BSWG_integers, BSWG_inch, BSWG_SI, True), 'SSWG': (SSWG_integers, SSWG_inch, SSWG_SI, True)} def gauge_from_t(t, SI=True, schedule='BWG'): r'''Looks up the gauge of a given wire thickness of given schedule. Values are all non-linear, and tabulated internally. Parameters ---------- t : float Thickness, [m] SI : bool, optional If False, requires that the thickness is given in inches not meters schedule : str Gauge schedule, one of 'BWG', 'AWG', 'SWG', 'MWG', 'BSWG', or 'SSWG' Returns ------- gauge : float-like Wire Gauge, [-] Notes ----- An internal variable, tol, is used in the selection of the wire gauge. If the next smaller wire gauge is within 10% of the difference between it and the previous wire gauge, the smaller wire gauge is selected. Accordingly, this function can return a gauge with a thickness smaller than desired in some circumstances. * Birmingham Wire Gauge (BWG) ranges from 0.2 (0.5 inch) to 36 (0.004 inch). * American Wire Gauge (AWG) ranges from 0.167 (0.58 inch) to 51 (0.00099 inch). These are used for electrical wires. * Steel Wire Gauge (SWG) ranges from 0.143 (0.49 inch) to 51 (0.0044 inch). Also called Washburn & Moen wire gauge, American Steel gauge, Wire Co. gauge, and Roebling wire gauge. * Music Wire Gauge (MWG) ranges from 0.167 (0.004 inch) to 46 (0.18 inch). Also called Piano Wire Gauge. * British Standard Wire Gage (BSWG) ranges from 0.143 (0.5 inch) to 51 (0.001 inch). Also called Imperial Wire Gage (IWG). * Stub's Steel Wire Gage (SSWG) ranges from 1 (0.227 inch) to 80 (0.013 inch) Examples -------- >>> gauge_from_t(.5, SI=False, schedule='BWG') 0.2 References ---------- .. [1] Oberg, Erik, Franklin D. Jones, and Henry H. Ryffel. Machinery's Handbook. Industrial Press, Incorporated, 2012. ''' tol = 0.1 # Handle units if SI: t_inch = round(t/inch, 9) # all schedules are in inches else: t_inch = t # Get the schedule try: sch_integers, sch_inch, sch_SI, decreasing = wire_schedules[schedule] except: raise ValueError('Wire gauge schedule not found') # Check if outside limits sch_max, sch_min = sch_inch[0], sch_inch[-1] if t_inch > sch_max: raise ValueError('Input thickness is above the largest in the selected schedule') # If given thickness is exactly in the index, be happy if t_inch in sch_inch: gauge = sch_integers[sch_inch.index(t_inch)] else: for i in range(len(sch_inch)): if sch_inch[i] >= t_inch: larger = sch_inch[i] else: break if larger == sch_min: gauge = sch_min # If t is under the lowest schedule, be happy else: smaller = sch_inch[i] if (t_inch - smaller) <= tol*(larger - smaller): gauge = sch_integers[i] else: gauge = sch_integers[i-1] return gauge def t_from_gauge(gauge, SI=True, schedule='BWG'): r'''Looks up the thickness of a given wire gauge of given schedule. Values are all non-linear, and tabulated internally. Parameters ---------- gauge : float-like Wire Gauge, [] SI : bool, optional If False, will return a thickness in inches not meters schedule : str Gauge schedule, one of 'BWG', 'AWG', 'SWG', 'MWG', 'BSWG', or 'SSWG' Returns ------- t : float Thickness, [m] Notes ----- * Birmingham Wire Gauge (BWG) ranges from 0.2 (0.5 inch) to 36 (0.004 inch). * American Wire Gauge (AWG) ranges from 0.167 (0.58 inch) to 51 (0.00099 inch). These are used for electrical wires. * Steel Wire Gauge (SWG) ranges from 0.143 (0.49 inch) to 51 (0.0044 inch). Also called Washburn & Moen wire gauge, American Steel gauge, Wire Co. gauge, and Roebling wire gauge. * Music Wire Gauge (MWG) ranges from 0.167 (0.004 inch) to 46 (0.18 inch). Also called Piano Wire Gauge. * British Standard Wire Gage (BSWG) ranges from 0.143 (0.5 inch) to 51 (0.001 inch). Also called Imperial Wire Gage (IWG). * Stub's Steel Wire Gage (SSWG) ranges from 1 (0.227 inch) to 80 (0.013 inch) Examples -------- >>> t_from_gauge(.2, False, 'BWG') 0.5 References ---------- .. [1] Oberg, Erik, Franklin D. Jones, and Henry H. Ryffel. Machinery's Handbook. Industrial Press, Incorporated, 2012. ''' try: sch_integers, sch_inch, sch_SI, decreasing = wire_schedules[schedule] except: raise ValueError("Wire gauge schedule not found; supported gauges are \ 'BWG', 'AWG', 'SWG', 'MWG', 'BSWG', and 'SSWG'.") try: i = sch_integers.index(gauge) except: raise ValueError('Input gauge not found in selected schedule') if SI: return sch_SI[i] # returns thickness in m else: return sch_inch[i] # returns thickness in inch def erosional_velocity(rho, C): r'''Calculate the erosional velocity according to the API RP 14E equation. .. math:: V_e = \frac{C}{\sqrt{\rho_m}} Parameters ---------- rho : float Bulk mass density of the overall fluid, [kg/m^3] C : float Erosional velocity factor; must be provided, [sqrt(lb/(ft*s^2))] Returns ------- V : float Erosional velocity, [m/s] Notes ----- Some suggested factors in [1]_ are: With solids, it is suggested the factor be determined from specific studies. For corrosive fluids in continuous service, C=100. For corrosive fluids in intermittent service, C=125. For non-corrosive fluids in continuous service, C=150-200. For non-corrosive fluids in intermittent service, C=250. For corrosive fluids with an inhibitor or a corrosion resistent alloy in continuous service, C=150-200; and for intermittent service, C=250. Examples -------- >>> erosional_velocity(1000, 100) 3.8576728004 References ---------- .. [1] "API RP 14E : Recommended Practice for Design and Installation of Offshore Production Platform Piping Systems." 5E, 2000 .. [2] Madani Sani, F., S. Huizinga, K. A. Esaklul, and S. Nesic. "Review of the API RP 14E Erosional Velocity Equation: Origin, Applications, Misuses, Limitations and Alternatives." Wear, 22nd International Conference on Wear of Materials, 426-427 (April 30, 2019): 620-36. https://doi.org/10.1016/j.wear.2019.01.119. ''' rho_lb_ft3 = rho/(lb/foot**3) v_ft_s = C/sqrt(rho_lb_ft3) v = v_ft_s*foot return v fluids-1.0.22/fluids/two_phase.pyi0000644000175000017500000001510314302004506016404 0ustar nileshnilesh# DO NOT EDIT - AUTOMATICALLY GENERATED BY tests/make_test_stubs.py! from __future__ import annotations from typing import List from typing import ( List, Optional, Tuple, Union, ) def Bankoff( m: float, x: float, rhol: float, rhog: float, mul: float, mug: float, D: float, roughness: float = ..., L: float = ... ) -> float: ... def Baroczy_Chisholm( m: float, x: float, rhol: float, rhog: float, mul: float, mug: float, D: float, roughness: float = ..., L: float = ... ) -> float: ... def Beggs_Brill( m: float, x: float, rhol: float, rhog: float, mul: float, mug: float, sigma: float, P: float, D: float, angle: float, roughness: float = ..., L: float = ..., g: float = ..., acceleration: bool = ... ) -> float: ... def Chen_Friedel( m: float, x: float, rhol: float, rhog: float, mul: float, mug: float, sigma: float, D: float, roughness: float = ..., L: float = ... ) -> float: ... def Chisholm( m: float, x: float, rhol: float, rhog: float, mul: float, mug: float, D: float, roughness: float = ..., L: float = ..., rough_correction: bool = ... ) -> float: ... def Friedel( m: float, x: float, rhol: float, rhog: float, mul: float, mug: float, sigma: float, D: float, roughness: float = ..., L: float = ... ) -> float: ... def Gronnerud( m: float, x: float, rhol: float, rhog: float, mul: float, mug: float, D: float, roughness: float = ..., L: float = ... ) -> float: ... def Hwang_Kim( m: float, x: float, rhol: float, rhog: float, mul: float, mug: float, sigma: float, D: float, roughness: float = ..., L: float = ... ) -> float: ... def Jung_Radermacher( m: float, x: float, rhol: float, rhog: float, mul: float, mug: float, D: float, roughness: float = ..., L: float = ... ) -> float: ... def Kim_Mudawar( m: float, x: float, rhol: float, rhog: float, mul: float, mug: float, sigma: float, D: float, L: float = ... ) -> float: ... def Lockhart_Martinelli( m: float, x: float, rhol: float, rhog: float, mul: float, mug: float, D: float, L: float = ..., Re_c: float = ... ) -> float: ... def Lombardi_Pedrocchi( m: float, x: float, rhol: float, rhog: float, sigma: float, D: float, L: float = ... ) -> float: ... def Mandhane_Gregory_Aziz_regime( m: float, x: float, rhol: float, rhog: float, mul: float, mug: float, sigma: float, D: float ) -> Tuple[str, float, float]: ... def Mishima_Hibiki( m: float, x: float, rhol: float, rhog: float, mul: float, mug: float, sigma: float, D: float, roughness: float = ..., L: float = ... ) -> float: ... def Muller_Steinhagen_Heck( m: float, x: float, rhol: float, rhog: float, mul: float, mug: float, D: float, roughness: float = ..., L: float = ... ) -> float: ... def Taitel_Dukler_regime( m: float, x: float, rhol: float, rhog: float, mul: float, mug: float, D: float, angle: float, roughness: float = ..., g: float = ... ) -> Tuple[str, float, float, float, float]: ... def Theissing( m: float, x: float, rhol: float, rhog: float, mul: float, mug: float, D: float, roughness: float = ..., L: float = ... ) -> float: ... def Tran( m: float, x: float, rhol: float, rhog: float, mul: float, mug: float, sigma: float, D: float, roughness: float = ..., L: float = ... ) -> float: ... def Wang_Chiang_Lu( m: float, x: float, rhol: float, rhog: float, mul: float, mug: float, D: float, roughness: float = ..., L: float = ... ) -> float: ... def Xu_Fang( m: float, x: float, rhol: float, rhog: float, mul: float, mug: float, sigma: float, D: float, roughness: float = ..., L: float = ... ) -> float: ... def Yu_France( m: float, x: float, rhol: float, rhog: float, mul: float, mug: float, D: float, roughness: float = ..., L: float = ... ) -> float: ... def Zhang_Hibiki_Mishima( m: float, x: float, rhol: float, rhog: float, mul: float, mug: float, sigma: float, D: float, roughness: float = ..., L: float = ..., flowtype: str = ... ) -> float: ... def Zhang_Webb( m: float, x: float, rhol: float, mul: float, P: float, Pc: float, D: float, roughness: float = ..., L: float = ... ) -> float: ... def _Beggs_Brill_holdup(regime: int, lambda_L: float, Fr: float, angle: float, LV: float) -> float: ... def friction_factor_Kim_Mudawar(Re: float) -> float: ... def two_phase_dP( m: float, x: float, rhol: float, D: float, L: float = ..., rhog: Optional[float] = ..., mul: Optional[float] = ..., mug: Optional[float] = ..., sigma: Optional[float] = ..., P: Optional[float] = ..., Pc: Optional[float] = ..., roughness: float = ..., angle: Optional[float] = ..., Method: Optional[str] = ... ) -> float: ... def two_phase_dP_acceleration( m: float, D: float, xi: float, xo: float, alpha_i: float, alpha_o: float, rho_li: float, rho_gi: float, rho_lo: Optional[float] = ..., rho_go: Optional[float] = ... ) -> float: ... def two_phase_dP_dz_acceleration( m: float, D: float, x: float, rhol: float, rhog: float, dv_dP_l: float, dv_dP_g: float, dx_dP: float, dP_dL: float, dA_dL: float ) -> float: ... def two_phase_dP_dz_gravitational(angle: float, alpha: float, rhol: float, rhog: float, g: float = ...) -> float: ... def two_phase_dP_gravitational( angle: float, z: float, alpha_i: float, rho_li: float, rho_gi: float, alpha_o: Optional[float] = ..., rho_lo: Optional[float] = ..., rho_go: Optional[float] = ..., g: float = ... ) -> float: ... def two_phase_dP_methods( m: float, x: float, rhol: float, D: float, L: float = ..., rhog: Optional[float] = ..., mul: Optional[float] = ..., mug: Optional[float] = ..., sigma: Optional[float] = ..., P: Optional[float] = ..., Pc: Optional[float] = ..., roughness: float = ..., angle: float = ..., check_ranges: bool = ... ) -> List[str]: ... __all__: List[str]fluids-1.0.22/fluids/vectorized.py0000644000175000017500000000534114302004506016423 0ustar nileshnilesh# -*- coding: utf-8 -*- """Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2017, Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. """ from __future__ import division from fluids.numerics import numpy as np, FakePackage import fluids as normal_fluids '''Basic module which wraps all fluids functions with numpy's vectorize. All other object - dicts, classes, etc - are not wrapped. Supports star imports; so the same objects exported when importing from the main library will be imported from here. >>> from fluids.vectorized import * Inputs do not need to be numpy arrays; they can be any iterable: >>> fluids.vectorized.friction_factor(Re=[100, 1000, 10000], eD=0) array([ 0.64 , 0.064 , 0.03088295]) Note that because this needs to import fluids itself, fluids.vectorized needs to be imported separately; the following will cause an error: >>> import fluids >>> fluids.vectorized # Won't work, has not been imported yet The correct syntax is as follows: >>> import fluids.vectorized # Necessary >>> from fluids.vectorized import * # May be used without first importing fluids This module is lightweight! It takes approximately 3 ms to load, and increases ram usage by only 250 KB. ''' __all__ = [] __funcs = {} bad_names = set(('__file__', '__name__', '__package__', '__cached__')) if isinstance(np, FakePackage): pass else: import types for name in dir(normal_fluids): obj = getattr(normal_fluids, name) if isinstance(obj, types.FunctionType): obj = np.vectorize(obj) elif isinstance(obj, str): if name in bad_names: continue __all__.append(name) __funcs[name] = obj globals().update(__funcs) del __funcs fluids-1.0.22/fluids/control_valve.pyi0000644000175000017500000000612514302004506017274 0ustar nileshnilesh# DO NOT EDIT - AUTOMATICALLY GENERATED BY tests/make_test_stubs.py! from __future__ import annotations from typing import List from typing import ( Dict, Optional, Union, ) def FF_critical_pressure_ratio_l(Psat: float, Pc: float) -> float: ... def Reynolds_factor(FL: float, C: float, d: float, Rev: float, full_trim: bool = ...) -> float: ... def Reynolds_valve(nu: float, Q: float, D1: float, FL: float, Fd: float, C: float) -> float: ... def cavitation_index(P1: float, P2: float, Psat: float) -> float: ... def control_valve_choke_P_g(xT: float, gamma: float, P1: Optional[float] = ..., P2: Optional[float] = ...) -> float: ... def control_valve_choke_P_l( Psat: float, Pc: float, FL: float, P1: Optional[float] = ..., P2: Optional[float] = ..., disp: bool = ... ) -> float: ... def control_valve_noise_g_2011( m: float, P1: float, P2: float, T1: int, rho: float, gamma: float, MW: float, Kv: float, d: float, Di: float, t_pipe: float, Fd: float, FL: None, FLP: Optional[float] = ..., FP: Optional[float] = ..., rho_pipe: float = ..., c_pipe: float = ..., P_air: float = ..., rho_air: float = ..., c_air: float = ..., An: float = ..., Stp: float = ..., T2: None = ..., beta: float = ... ) -> float: ... def control_valve_noise_l_2015( m: int, P1: float, P2: float, Psat: float, rho: float, c: float, Kv: float, d: float, Di: float, FL: float, Fd: float, t_pipe: float, rho_pipe: float = ..., c_pipe: float = ..., rho_air: float = ..., c_air: float = ..., xFz: Optional[float] = ..., An: float = ... ) -> float: ... def is_choked_turbulent_g(x: float, Fgamma: float, xT: Optional[float] = ..., xTP: Optional[float] = ...) -> bool: ... def is_choked_turbulent_l( dP: float, P1: float, Psat: float, FF: float, FL: Optional[float] = ..., FLP: Optional[float] = ..., FP: Optional[float] = ... ) -> bool: ... def loss_coefficient_piping(d: float, D1: Optional[float] = ..., D2: Optional[float] = ...) -> float: ... def size_control_valve_g( T: float, MW: float, mu: float, gamma: float, Z: float, P1: float, P2: float, Q: float, D1: Optional[float] = ..., D2: Optional[float] = ..., d: Optional[float] = ..., FL: float = ..., Fd: float = ..., xT: float = ..., allow_choked: bool = ..., allow_laminar: bool = ..., full_output: bool = ... ) -> Union[float, Dict[str, Optional[Union[bool, float]]], Dict[str, Optional[Union[float, bool, str]]]]: ... def size_control_valve_l( rho: float, Psat: float, Pc: float, mu: float, P1: float, P2: float, Q: float, D1: Optional[float] = ..., D2: Optional[float] = ..., d: Optional[float] = ..., FL: float = ..., Fd: float = ..., allow_choked: bool = ..., allow_laminar: bool = ..., full_output: bool = ... ) -> Union[float, Dict[str, Optional[Union[bool, float]]], Dict[str, Optional[Union[float, bool, str]]]]: ... __all__: List[str]fluids-1.0.22/fluids/flow_meter.py0000644000175000017500000034042314302004506016413 0ustar nileshnilesh# -*- coding: utf-8 -*- """Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2018, 2019, 2020 Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. This module contains correlations, standards, and solvers for orifice plates and other flow metering devices. Both permanent and measured pressure drop is included, and models work for both liquids and gases. A number of non-standard devices are included, as well as limited two-phase functionality. For reporting bugs, adding feature requests, or submitting pull requests, please use the `GitHub issue tracker `_ or contact the author at Caleb.Andrew.Bell@gmail.com. .. contents:: :local: Flow Meter Solvers ------------------ .. autofunction:: differential_pressure_meter_solver Flow Meter Interfaces --------------------- .. autofunction:: differential_pressure_meter_dP .. autofunction:: differential_pressure_meter_C_epsilon .. autofunction:: differential_pressure_meter_beta .. autofunction:: dP_orifice Orifice Plate Correlations -------------------------- .. autofunction:: C_Reader_Harris_Gallagher .. autofunction:: C_eccentric_orifice_ISO_15377_1998 .. autofunction:: C_quarter_circle_orifice_ISO_15377_1998 .. autofunction:: C_Miller_1996 .. autofunction:: orifice_expansibility .. autofunction:: orifice_expansibility_1989 .. autodata:: ISO_15377_CONICAL_ORIFICE_C Nozzle Flow Meters ------------------ .. autofunction:: C_long_radius_nozzle .. autofunction:: C_ISA_1932_nozzle .. autofunction:: C_venturi_nozzle .. autofunction:: nozzle_expansibility Venturi Tube Meters ------------------- .. autodata:: ROUGH_WELDED_CONVERGENT_VENTURI_TUBE_C .. autodata:: MACHINED_CONVERGENT_VENTURI_TUBE_C .. autodata:: AS_CAST_VENTURI_TUBE_C .. autofunction:: dP_venturi_tube .. autofunction:: C_Reader_Harris_Gallagher_wet_venturi_tube .. autofunction:: dP_Reader_Harris_Gallagher_wet_venturi_tube Cone Meters ----------- .. autodata:: CONE_METER_C .. autofunction:: diameter_ratio_cone_meter .. autofunction:: cone_meter_expansibility_Stewart .. autofunction:: dP_cone_meter Wedge Meters ------------ .. autofunction:: C_wedge_meter_ISO_5167_6_2017 .. autofunction:: C_wedge_meter_Miller .. autofunction:: diameter_ratio_wedge_meter .. autofunction:: dP_wedge_meter Flow Meter Utilities -------------------- .. autofunction:: discharge_coefficient_to_K .. autofunction:: K_to_discharge_coefficient .. autofunction:: velocity_of_approach_factor .. autofunction:: flow_coefficient .. autofunction:: flow_meter_discharge .. autodata:: all_meters """ from __future__ import division from math import sqrt, cos, sin, tan, atan, pi, radians, exp, acos, log10, log from fluids.friction import friction_factor from fluids.core import Froude_densimetric from fluids.numerics import interp, secant, brenth, NotBoundedError, implementation_optimize_tck, bisplev from fluids.constants import g, inch, inch_inv, pi_inv, root_two __all__ = ['C_Reader_Harris_Gallagher', 'differential_pressure_meter_solver', 'differential_pressure_meter_dP', 'flow_meter_discharge', 'orifice_expansibility', 'discharge_coefficient_to_K', 'K_to_discharge_coefficient', 'dP_orifice', 'velocity_of_approach_factor', 'flow_coefficient', 'nozzle_expansibility', 'C_long_radius_nozzle', 'C_ISA_1932_nozzle', 'C_venturi_nozzle', 'orifice_expansibility_1989', 'dP_venturi_tube', 'diameter_ratio_cone_meter', 'diameter_ratio_wedge_meter', 'cone_meter_expansibility_Stewart', 'dP_cone_meter', 'C_wedge_meter_Miller', 'C_wedge_meter_ISO_5167_6_2017', 'dP_wedge_meter', 'C_Reader_Harris_Gallagher_wet_venturi_tube', 'dP_Reader_Harris_Gallagher_wet_venturi_tube', 'differential_pressure_meter_C_epsilon', 'differential_pressure_meter_beta', 'C_eccentric_orifice_ISO_15377_1998', 'C_quarter_circle_orifice_ISO_15377_1998', 'C_Miller_1996', 'all_meters', ] CONCENTRIC_ORIFICE = 'orifice' # normal ECCENTRIC_ORIFICE = 'eccentric orifice' CONICAL_ORIFICE = 'conical orifice' SEGMENTAL_ORIFICE = 'segmental orifice' QUARTER_CIRCLE_ORIFICE = 'quarter circle orifice' CONDITIONING_4_HOLE_ORIFICE = 'Rosemount 4 hole self conditioing' ORIFICE_HOLE_TYPES = [CONCENTRIC_ORIFICE, ECCENTRIC_ORIFICE, CONICAL_ORIFICE, SEGMENTAL_ORIFICE, QUARTER_CIRCLE_ORIFICE] ORIFICE_CORNER_TAPS = 'corner' ORIFICE_FLANGE_TAPS = 'flange' ORIFICE_D_AND_D_2_TAPS = 'D and D/2' ORIFICE_PIPE_TAPS = 'pipe' # Not in ISO 5167 ORIFICE_VENA_CONTRACTA_TAPS = 'vena contracta' # Not in ISO 5167, normally segmental or eccentric orifices # Used by miller; modifier on taps TAPS_OPPOSITE = '180 degree' TAPS_SIDE = '90 degree' ISO_5167_ORIFICE = 'ISO 5167 orifice' ISO_15377_ECCENTRIC_ORIFICE = 'ISO 15377 eccentric orifice' ISO_15377_QUARTER_CIRCLE_ORIFICE = 'ISO 15377 quarter-circle orifice' ISO_15377_CONICAL_ORIFICE = 'ISO 15377 conical orifice' MILLER_ORIFICE = 'Miller orifice' MILLER_ECCENTRIC_ORIFICE = 'Miller eccentric orifice' MILLER_SEGMENTAL_ORIFICE = 'Miller segmental orifice' MILLER_CONICAL_ORIFICE = 'Miller conical orifice' MILLER_QUARTER_CIRCLE_ORIFICE = 'Miller quarter circle orifice' UNSPECIFIED_METER = 'unspecified meter' LONG_RADIUS_NOZZLE = 'long radius nozzle' ISA_1932_NOZZLE = 'ISA 1932 nozzle' VENTURI_NOZZLE = 'venuri nozzle' AS_CAST_VENTURI_TUBE = 'as cast convergent venturi tube' MACHINED_CONVERGENT_VENTURI_TUBE = 'machined convergent venturi tube' ROUGH_WELDED_CONVERGENT_VENTURI_TUBE = 'rough welded convergent venturi tube' HOLLINGSHEAD_ORIFICE = 'Hollingshead orifice' HOLLINGSHEAD_VENTURI_SMOOTH = 'Hollingshead venturi smooth' HOLLINGSHEAD_VENTURI_SHARP = 'Hollingshead venturi sharp' HOLLINGSHEAD_CONE = 'Hollingshead v cone' HOLLINGSHEAD_WEDGE = 'Hollingshead wedge' CONE_METER = 'cone meter' WEDGE_METER = 'wedge meter' __all__.extend(['ISO_5167_ORIFICE','ISO_15377_ECCENTRIC_ORIFICE', 'MILLER_ORIFICE', 'MILLER_ECCENTRIC_ORIFICE', 'MILLER_SEGMENTAL_ORIFICE', 'LONG_RADIUS_NOZZLE', 'ISA_1932_NOZZLE', 'VENTURI_NOZZLE', 'AS_CAST_VENTURI_TUBE', 'MACHINED_CONVERGENT_VENTURI_TUBE', 'ROUGH_WELDED_CONVERGENT_VENTURI_TUBE', 'CONE_METER', 'WEDGE_METER', 'ISO_15377_CONICAL_ORIFICE', 'MILLER_CONICAL_ORIFICE', 'MILLER_QUARTER_CIRCLE_ORIFICE', 'ISO_15377_QUARTER_CIRCLE_ORIFICE', 'UNSPECIFIED_METER', 'HOLLINGSHEAD_ORIFICE', 'HOLLINGSHEAD_CONE', 'HOLLINGSHEAD_WEDGE', 'HOLLINGSHEAD_VENTURI_SMOOTH', 'HOLLINGSHEAD_VENTURI_SHARP']) __all__.extend(['ORIFICE_CORNER_TAPS', 'ORIFICE_FLANGE_TAPS', 'ORIFICE_D_AND_D_2_TAPS', 'ORIFICE_PIPE_TAPS', 'ORIFICE_VENA_CONTRACTA_TAPS', 'TAPS_OPPOSITE', 'TAPS_SIDE']) __all__.extend(['CONCENTRIC_ORIFICE', 'ECCENTRIC_ORIFICE', 'CONICAL_ORIFICE', 'SEGMENTAL_ORIFICE', 'QUARTER_CIRCLE_ORIFICE']) def flow_meter_discharge(D, Do, P1, P2, rho, C, expansibility=1.0): r'''Calculates the flow rate of an orifice plate based on the geometry of the plate, measured pressures of the orifice, and the density of the fluid. .. math:: m = \left(\frac{\pi D_o^2}{4}\right) C \frac{\sqrt{2\Delta P \rho_1}} {\sqrt{1 - \beta^4}}\cdot \epsilon Parameters ---------- D : float Upstream internal pipe diameter, [m] Do : float Diameter of orifice at flow conditions, [m] P1 : float Static pressure of fluid upstream of orifice at the cross-section of the pressure tap, [Pa] P2 : float Static pressure of fluid downstream of orifice at the cross-section of the pressure tap, [Pa] rho : float Density of fluid at `P1`, [kg/m^3] C : float Coefficient of discharge of the orifice, [-] expansibility : float, optional Expansibility factor (1 for incompressible fluids, less than 1 for real fluids), [-] Returns ------- m : float Mass flow rate of fluid, [kg/s] Notes ----- This is formula 1-12 in [1]_ and also [2]_. Examples -------- >>> flow_meter_discharge(D=0.0739, Do=0.0222, P1=1E5, P2=9.9E4, rho=1.1646, ... C=0.5988, expansibility=0.9975) 0.01120390943807026 References ---------- .. [1] American Society of Mechanical Engineers. Mfc-3M-2004 Measurement Of Fluid Flow In Pipes Using Orifice, Nozzle, And Venturi. ASME, 2001. .. [2] ISO 5167-2:2003 - Measurement of Fluid Flow by Means of Pressure Differential Devices Inserted in Circular Cross-Section Conduits Running Full -- Part 2: Orifice Plates. ''' beta = Do/D beta2 = beta*beta return (0.25*pi*Do*Do)*C*expansibility*sqrt((2.0*rho*(P1 - P2))/(1.0 - beta2*beta2)) def orifice_expansibility(D, Do, P1, P2, k): r'''Calculates the expansibility factor for orifice plate calculations based on the geometry of the plate, measured pressures of the orifice, and the isentropic exponent of the fluid. .. math:: \epsilon = 1 - (0.351 + 0.256\beta^4 + 0.93\beta^8) \left[1-\left(\frac{P_2}{P_1}\right)^{1/\kappa}\right] Parameters ---------- D : float Upstream internal pipe diameter, [m] Do : float Diameter of orifice at flow conditions, [m] P1 : float Static pressure of fluid upstream of orifice at the cross-section of the pressure tap, [Pa] P2 : float Static pressure of fluid downstream of orifice at the cross-section of the pressure tap, [Pa] k : float Isentropic exponent of fluid, [-] Returns ------- expansibility : float, optional Expansibility factor (1 for incompressible fluids, less than 1 for real fluids), [-] Notes ----- This formula was determined for the range of P2/P1 >= 0.80, and for fluids of air, steam, and natural gas. However, there is no objection to using it for other fluids. It is said in [1]_ that for liquids this should not be used. The result can be forced by setting `k` to a really high number like 1E20. Examples -------- >>> orifice_expansibility(D=0.0739, Do=0.0222, P1=1E5, P2=9.9E4, k=1.4) 0.9974739057343425 References ---------- .. [1] American Society of Mechanical Engineers. Mfc-3M-2004 Measurement Of Fluid Flow In Pipes Using Orifice, Nozzle, And Venturi. ASME, 2001. .. [2] ISO 5167-2:2003 - Measurement of Fluid Flow by Means of Pressure Differential Devices Inserted in Circular Cross-Section Conduits Running Full -- Part 2: Orifice Plates. ''' beta = Do/D beta2 = beta*beta beta4 = beta2*beta2 return (1.0 - (0.351 + beta4*(0.93*beta4 + 0.256))*( 1.0 - (P2/P1)**(1./k))) def orifice_expansibility_1989(D, Do, P1, P2, k): r'''Calculates the expansibility factor for orifice plate calculations based on the geometry of the plate, measured pressures of the orifice, and the isentropic exponent of the fluid. .. math:: \epsilon = 1- (0.41 + 0.35\beta^4)\Delta P/\kappa/P_1 Parameters ---------- D : float Upstream internal pipe diameter, [m] Do : float Diameter of orifice at flow conditions, [m] P1 : float Static pressure of fluid upstream of orifice at the cross-section of the pressure tap, [Pa] P2 : float Static pressure of fluid downstream of orifice at the cross-section of the pressure tap, [Pa] k : float Isentropic exponent of fluid, [-] Returns ------- expansibility : float Expansibility factor (1 for incompressible fluids, less than 1 for real fluids), [-] Notes ----- This formula was determined for the range of P2/P1 >= 0.75, and for fluids of air, steam, and natural gas. However, there is no objection to using it for other fluids. This is an older formula used to calculate expansibility factors for orifice plates. In this standard, an expansibility factor formula transformation in terms of the pressure after the orifice is presented as well. This is the more standard formulation in terms of the upstream conditions. The other formula is below for reference only: .. math:: \epsilon_2 = \sqrt{1 + \frac{\Delta P}{P_2}} - (0.41 + 0.35\beta^4) \frac{\Delta P}{\kappa P_2 \sqrt{1 + \frac{\Delta P}{P_2}}} [2]_ recommends this formulation for wedge meters as well. Examples -------- >>> orifice_expansibility_1989(D=0.0739, Do=0.0222, P1=1E5, P2=9.9E4, k=1.4) 0.9970510687411718 References ---------- .. [1] American Society of Mechanical Engineers. MFC-3M-1989 Measurement Of Fluid Flow In Pipes Using Orifice, Nozzle, And Venturi. ASME, 2005. .. [2] Miller, Richard W. Flow Measurement Engineering Handbook. 3rd edition. New York: McGraw-Hill Education, 1996. ''' return 1.0 - (0.41 + 0.35*(Do/D)**4)*(P1 - P2)/(k*P1) def C_Reader_Harris_Gallagher(D, Do, rho, mu, m, taps='corner'): r'''Calculates the coefficient of discharge of the orifice based on the geometry of the plate, measured pressures of the orifice, mass flow rate through the orifice, and the density and viscosity of the fluid. .. math:: C = 0.5961 + 0.0261\beta^2 - 0.216\beta^8 + 0.000521\left(\frac{ 10^6\beta}{Re_D}\right)^{0.7}\\ + (0.0188 + 0.0063A)\beta^{3.5} \left(\frac{10^6}{Re_D}\right)^{0.3} \\ +(0.043 + 0.080\exp(-10L_1) -0.123\exp(-7L_1))(1-0.11A)\frac{\beta^4} {1-\beta^4} \\ - 0.031(M_2' - 0.8M_2'^{1.1})\beta^{1.3} .. math:: M_2' = \frac{2L_2'}{1-\beta} .. math:: A = \left(\frac{19000\beta}{Re_{D}}\right)^{0.8} .. math:: Re_D = \frac{\rho v D}{\mu} If D < 71.12 mm (2.8 in.) (Note this is a continuous addition; there is no discontinuity): .. math:: C += 0.11(0.75-\beta)\left(2.8-\frac{D}{0.0254}\right) If the orifice has corner taps: .. math:: L_1 = L_2' = 0 If the orifice has D and D/2 taps: .. math:: L_1 = 1 .. math:: L_2' = 0.47 If the orifice has Flange taps: .. math:: L_1 = L_2' = \frac{0.0254}{D} Parameters ---------- D : float Upstream internal pipe diameter, [m] Do : float Diameter of orifice at flow conditions, [m] rho : float Density of fluid at `P1`, [kg/m^3] mu : float Viscosity of fluid at `P1`, [Pa*s] m : float Mass flow rate of fluid through the orifice, [kg/s] taps : str The orientation of the taps; one of 'corner', 'flange', 'D', or 'D/2', [-] Returns ------- C : float Coefficient of discharge of the orifice, [-] Notes ----- The following limits apply to the orifice plate standard [1]_: The measured pressure difference for the orifice plate should be under 250 kPa. There are roughness limits as well; the roughness should be under 6 micrometers, although there are many more conditions to that given in [1]_. For orifice plates with D and D/2 or corner pressure taps: * Orifice bore diameter muse be larger than 12.5 mm (0.5 inches) * Pipe diameter between 50 mm and 1 m (2 to 40 inches) * Beta between 0.1 and 0.75 inclusive * Reynolds number larger than 5000 (for :math:`0.10 \le \beta \le 0.56`) or for :math:`\beta \ge 0.56, Re_D \ge 16000\beta^2` For orifice plates with flange pressure taps: * Orifice bore diameter muse be larger than 12.5 mm (0.5 inches) * Pipe diameter between 50 mm and 1 m (2 to 40 inches) * Beta between 0.1 and 0.75 inclusive * Reynolds number larger than 5000 and also larger than :math:`170000\beta^2 D`. This is also presented in Crane's TP410 (2009) publication, whereas the 1999 and 1982 editions showed only a graph for discharge coefficients. Examples -------- >>> C_Reader_Harris_Gallagher(D=0.07391, Do=0.0222, rho=1.165, mu=1.85E-5, ... m=0.12, taps='flange') 0.5990326277163659 References ---------- .. [1] American Society of Mechanical Engineers. Mfc-3M-2004 Measurement Of Fluid Flow In Pipes Using Orifice, Nozzle, And Venturi. ASME, 2001. .. [2] ISO 5167-2:2003 - Measurement of Fluid Flow by Means of Pressure Differential Devices Inserted in Circular Cross-Section Conduits Running Full -- Part 2: Orifice Plates. .. [3] Reader-Harris, M. J., "The Equation for the Expansibility Factor for Orifice Plates," Proceedings of FLOMEKO 1998, Lund, Sweden, 1998: 209-214. .. [4] Reader-Harris, Michael. Orifice Plates and Venturi Tubes. Springer, 2015. ''' A_pipe = 0.25*pi*D*D v = m/(A_pipe*rho) Re_D = rho*v*D/mu Re_D_inv = 1.0/Re_D beta = Do/D if taps == 'corner': L1, L2_prime = 0.0, 0.0 elif taps == 'flange': L1 = L2_prime = 0.0254/D elif taps == 'D' or taps == 'D/2' or taps == ORIFICE_D_AND_D_2_TAPS: L1 = 1.0 L2_prime = 0.47 else: raise ValueError('Unsupported tap location') beta2 = beta*beta beta4 = beta2*beta2 beta8 = beta4*beta4 A = 2648.5177066967326*(beta*Re_D_inv)**0.8 # 19000.0^0.8 = 2648.51.... M2_prime = 2.0*L2_prime/(1.0 - beta) # These two exps expnL1 = exp(-L1) expnL2 = expnL1*expnL1 expnL3 = expnL1*expnL2 delta_C_upstream = ((0.043 + expnL3*expnL2*expnL2*(0.080*expnL3 - 0.123)) *(1.0 - 0.11*A)*beta4/(1.0 - beta4)) # The max part is not in the ISO standard t1 = log10(3700.*Re_D_inv) if t1 < 0.0: t1 = 0.0 delta_C_downstream = (-0.031*(M2_prime - 0.8*M2_prime**1.1)*beta**1.3 *(1.0 + 8.0*t1)) # C_inf is discharge coefficient with corner taps for infinite Re # Cs, slope term, provides increase in discharge coefficient for lower # Reynolds numbers. x1 = 63.095734448019314*(Re_D_inv)**0.3 # 63.095... = (1e6)**0.3 x2 = 22.7 - 0.0047*Re_D t2 = x1 if x1 > x2 else x2 # max term is not in the ISO standard C_inf_C_s = (0.5961 + 0.0261*beta2 - 0.216*beta8 + 0.000521*(1E6*beta*Re_D_inv)**0.7 + (0.0188 + 0.0063*A)*beta2*beta*sqrt(beta)*( t2)) C = (C_inf_C_s + delta_C_upstream + delta_C_downstream) if D < 0.07112: # Limit is 2.8 inches, .1 inches smaller than the internal diameter of # a sched. 80 pipe. # Suggested to be required not becausue of any effect of small # diameters themselves, but because of edge radius differences. # max term is given in [4]_ Reader-Harris, Michael book # There is a check for t3 being negative and setting it to zero if so # in some sources but that only occurs when t3 is exactly the limit # (0.07112) so it is not needed t3 = (2.8 - D*inch_inv) delta_C_diameter = 0.011*(0.75 - beta)*t3 C += delta_C_diameter return C _Miller_1996_unsupported_type = "Supported orifice types are %s" %str( (CONCENTRIC_ORIFICE, SEGMENTAL_ORIFICE, ECCENTRIC_ORIFICE, CONICAL_ORIFICE, QUARTER_CIRCLE_ORIFICE)) _Miller_1996_unsupported_tap_concentric = "Supported taps for subtype '%s' are %s" %( CONCENTRIC_ORIFICE, (ORIFICE_CORNER_TAPS, ORIFICE_FLANGE_TAPS, ORIFICE_D_AND_D_2_TAPS, ORIFICE_PIPE_TAPS)) _Miller_1996_unsupported_tap_pos_eccentric = "Supported tap positions for subtype '%s' are %s" %( ECCENTRIC_ORIFICE, (TAPS_OPPOSITE, TAPS_SIDE)) _Miller_1996_unsupported_tap_eccentric = "Supported taps for subtype '%s' are %s" %( ECCENTRIC_ORIFICE, (ORIFICE_FLANGE_TAPS, ORIFICE_VENA_CONTRACTA_TAPS)) _Miller_1996_unsupported_tap_segmental = "Supported taps for subtype '%s' are %s" %( SEGMENTAL_ORIFICE, (ORIFICE_FLANGE_TAPS, ORIFICE_VENA_CONTRACTA_TAPS)) def C_Miller_1996(D, Do, rho, mu, m, subtype='orifice', taps=ORIFICE_CORNER_TAPS, tap_position=TAPS_OPPOSITE): r'''Calculates the coefficient of discharge of any of the orifice types supported by the Miller (1996) [1]_ correlation set. These correlations cover a wide range of industrial applications and sizes. Most of them are functions of `beta` ratio and Reynolds number. Unlike the ISO standards, these correlations do not come with well defined ranges of validity, so caution should be applied using there correlations. The base equation is as follows, and each orifice type and range has different values or correlations for :math:`C_{\infty}`, `b`, and `n`. .. math:: C = C_{\infty} + \frac{b}{{Re}_D^n} Parameters ---------- D : float Upstream internal pipe diameter, [m] Do : float Diameter of orifice at flow conditions, [m] rho : float Density of fluid at `P1`, [kg/m^3] mu : float Viscosity of fluid at `P1`, [Pa*s] m : float Mass flow rate of fluid through the orifice, [kg/s] subtype : str, optional One of 'orifice', 'eccentric orifice', 'segmental orifice', 'conical orifice', or 'quarter circle orifice', [-] taps : str, optional The orientation of the taps; one of 'corner', 'flange', 'D and D/2', 'pipe', or 'vena contracta'; not all orifice subtypes support the all tap types [-] tap_position : str, optional The rotation of the taps, used **only for the eccentric orifice case** where the pressure profile is are not symmetric; '180 degree' for the normal case where the taps are opposite the orifice bore, and '90 degree' for the case where, normally for operational reasons, the taps are near the bore [-] Returns ------- C : float Coefficient of discharge of the orifice, [-] Notes ----- Many of the correlations transition at a pipe diameter of 100 mm to different equations, which will lead to discontinuous behavior. It should also be noted the author of these correlations developed a commercial flow meter rating software package, at [2]_. He passed away in 2014, but contributed massively to the field of flow measurement. The numerous equations for the different cases are as follows: For all **regular (concentric) orifices**, the `b` equation is as follows and n = 0.75: .. math:: b = 91.706\beta^{2.5} Regular (concentric) orifice, corner taps: .. math:: C_{\infty} = 0.5959 + 0.0312\beta^2.1 - 0.184\beta^8 Regular (concentric) orifice, flange taps, D > 58.4 mm: .. math:: C_{\infty} = 0.5959 + 0.0312\beta^{2.1} - 0.184\beta^8 + \frac{2.286\beta^4}{(D_{mm}(1.0 - \beta^4))} - \frac{0.856\beta^3}{D_{mm}} Regular (concentric) orifice, flange taps, D < 58.4 mm: .. math:: C_{\infty} = 0.5959 + 0.0312\beta^{2.1} - 0.184\beta^8 + \frac{0.039\beta^4}{(1.0 - \beta^4)} - \frac{0.856\beta^3}{D_{mm}} Regular (concentric) orifice, 'D and D/2' taps: .. math:: C_{\infty} = 0.5959 + 0.0312\beta^{2.1} - 0.184\beta^8 + \frac{0.039\beta^4}{(1.0 - \beta^4)} - 0.01584 Regular (concentric) orifice, 'pipe' taps: .. math:: C_{\infty} = 0.5959 + 0.461\beta^{2.1} + 0.48\beta^8 + \frac{0.039\beta^4}{(1.0 - \beta^4)} For the case of a **conical orifice**, there is no tap dependence and one equation (`b` = 0, `n` = 0): .. math:: C_{\infty} = 0.734 \text{ if } 250\beta \le Re \le 500\beta \text{ else } 0.730 For the case of a **quarter circle orifice**, corner and flange taps have the same dependence (`b` = 0, `n` = 0): .. math:: C_{\infty} = (0.7746 - 0.1334\beta^{2.1} + 1.4098\beta^8 + \frac{0.0675\beta^4}{(1 - \beta^4)} + 0.3865\beta^3) For all **segmental orifice** types, `b` = 0 and `n` = 0 Segmental orifice, 'flange' taps, D < 10 cm: .. math:: C_{\infty} = 0.6284 + 0.1462\beta^{2.1} - 0.8464\beta^8 + \frac{0.2603\beta^4}{(1-\beta^4)} - 0.2886\beta^3 Segmental orifice, 'flange' taps, D > 10 cm: .. math:: C_{\infty} = 0.6276 + 0.0828\beta^{2.1} + 0.2739\beta^8 - \frac{0.0934\beta^4}{(1-\beta^4)} - 0.1132\beta^3 Segmental orifice, 'vena contracta' taps, D < 10 cm: .. math:: C_{\infty} = 0.6261 + 0.1851\beta^{2.1} - 0.2879\beta^8 + \frac{0.1170\beta^4}{(1-\beta^4)} - 0.2845\beta^3 Segmental orifice, 'vena contracta' taps, D > 10 cm: .. math:: C_{\infty} = 0.6276 + 0.0828\beta^{2.1} + 0.2739\beta^8 - \frac{0.0934\beta^4}{(1-\beta^4)} - 0.1132\beta^3 For all **eccentric orifice** types, `n` = 0.75 and `b` is fit to a polynomial of `beta`. Eccentric orifice, 'flange' taps, 180 degree opposite taps, D < 10 cm: .. math:: C_{\infty} = 0.5917 + 0.3061\beta^{2.1} + .3406\beta^8 -\frac{.1019\beta^4}{(1-\beta^4)} - 0.2715\beta^3 .. math:: b = 7.3 - 15.7\beta + 170.8\beta^2 - 399.7\beta^3 + 332.2\beta^4 Eccentric orifice, 'flange' taps, 180 degree opposite taps, D > 10 cm: .. math:: C_{\infty} = 0.6016 + 0.3312\beta^{2.1} -1.5581\beta^8 + \frac{0.6510\beta^4}{(1-\beta^4)} - 0.7308\beta^3 .. math:: b = -139.7 + 1328.8\beta - 4228.2\beta^2 + 5691.9\beta^3 - 2710.4\beta^4 Eccentric orifice, 'flange' taps, 90 degree side taps, D < 10 cm: .. math:: C_{\infty} = 0.5866 + 0.3917\beta^{2.1} + .7586\beta^8 - \frac{.2273\beta^4}{(1-\beta^4)} - .3343\beta^3 .. math:: b = 69.1 - 469.4\beta + 1245.6\beta^2 -1287.5\beta^3 + 486.2\beta^4 Eccentric orifice, 'flange' taps, 90 degree side taps, D > 10 cm: .. math:: C_{\infty} = 0.6037 + 0.1598\beta^{2.1} -.2918\beta^8 + \frac{0.0244\beta^4}{(1-\beta^4)} - 0.0790\beta^3 .. math:: b = -103.2 + 898.3\beta - 2557.3\beta^2 + 2977.0\beta^3 - 1131.3\beta^4 Eccentric orifice, 'vena contracta' taps, 180 degree opposite taps, D < 10 cm: .. math:: C_{\infty} = 0.5925 + 0.3380\beta^{2.1} + 0.4016\beta^8 - \frac{.1046\beta^4}{(1-\beta^4)} - 0.3212\beta^3 .. math:: b = 23.3 -207.0\beta + 821.5\beta^2 -1388.6\beta^3 + 900.3\beta^4 Eccentric orifice, 'vena contracta' taps, 180 degree opposite taps, D > 10 cm: .. math:: C_{\infty} = 0.5922 + 0.3932\beta^{2.1} + .3412\beta^8 - \frac{.0569\beta^4}{(1-\beta^4)} - 0.4628\beta^3 .. math:: b = 55.7 - 471.4\beta + 1721.8\beta^2 - 2722.6\beta^3 + 1569.4\beta^4 Eccentric orifice, 'vena contracta' taps, 90 degree side taps, D < 10 cm: .. math:: C_{\infty} = 0.5875 + 0.3813\beta^{2.1} + 0.6898\beta^8 - \frac{0.1963\beta^4}{(1-\beta^4)} - 0.3366\beta^3 .. math:: b = -69.3 + 556.9\beta - 1332.2\beta^2 + 1303.7\beta^3 - 394.8\beta^4 Eccentric orifice, 'vena contracta' taps, 90 degree side taps, D > 10 cm: .. math:: C_{\infty} = 0.5949 + 0.4078\beta^{2.1} + 0.0547\beta^8 + \frac{0.0955\beta^4}{(1-\beta^4)} - 0.5608\beta^3 .. math:: b = 52.8 - 434.2\beta + 1571.2\beta^2 - 2460.9\beta^3 + 1420.2\beta^4 Examples -------- >>> C_Miller_1996(D=0.07391, Do=0.0222, rho=1.165, mu=1.85E-5, m=0.12, taps='flange', subtype='orifice') 0.599065557156788 References ---------- .. [1] Miller, Richard W. Flow Measurement Engineering Handbook. McGraw-Hill Education, 1996. .. [2] "RW Miller & Associates." Accessed April 13, 2020. http://rwmillerassociates.com/. ''' A_pipe = 0.25*pi*D*D v = m/(A_pipe*rho) Re = rho*v*D/mu D_mm = D*1000.0 beta = Do/D beta3 = beta*beta*beta beta4 = beta*beta3 beta8 = beta4*beta4 beta21 = beta**2.1 if subtype == MILLER_ORIFICE or subtype == CONCENTRIC_ORIFICE: b = 91.706*beta**2.5 n = 0.75 if taps == ORIFICE_CORNER_TAPS: C_inf = 0.5959 + 0.0312*beta21 - 0.184*beta8 elif taps == ORIFICE_FLANGE_TAPS: if D_mm >= 58.4: C_inf = 0.5959 + 0.0312*beta21 - 0.184*beta8 + 2.286*beta4/(D_mm*(1.0 - beta4)) - 0.856*beta3/D_mm else: C_inf = 0.5959 + 0.0312*beta21 - 0.184*beta8 + 0.039*beta4/(1.0 - beta4) - 0.856*beta3/D_mm elif taps == ORIFICE_D_AND_D_2_TAPS: C_inf = 0.5959 + 0.0312*beta21 - 0.184*beta8 + 0.039*beta4/(1.0 - beta4) - 0.01584 elif taps == ORIFICE_PIPE_TAPS: C_inf = 0.5959 + 0.461*beta21 + 0.48*beta8 + 0.039*beta4/(1.0 - beta4) else: raise ValueError(_Miller_1996_unsupported_tap_concentric) elif subtype == MILLER_ECCENTRIC_ORIFICE or subtype == ECCENTRIC_ORIFICE: if tap_position != TAPS_OPPOSITE and tap_position != TAPS_SIDE: raise ValueError(_Miller_1996_unsupported_tap_pos_eccentric) n = 0.75 if taps == ORIFICE_FLANGE_TAPS: if tap_position == TAPS_OPPOSITE: if D < 0.1: b = 7.3 - 15.7*beta + 170.8*beta**2 - 399.7*beta3 + 332.2*beta4 C_inf = 0.5917 + 0.3061*beta21 + .3406*beta8 -.1019*beta4/(1-beta4) - 0.2715*beta3 else: b = -139.7 + 1328.8*beta - 4228.2*beta**2 + 5691.9*beta3 - 2710.4*beta4 C_inf = 0.6016 + 0.3312*beta21 - 1.5581*beta8 + 0.6510*beta4/(1-beta4) - 0.7308*beta3 elif tap_position == TAPS_SIDE: if D < 0.1: b = 69.1 - 469.4*beta + 1245.6*beta**2 -1287.5*beta3 + 486.2*beta4 C_inf = 0.5866 + 0.3917*beta21 + 0.7586*beta8 -.2273*beta4/(1-beta4) - .3343*beta3 else: b = -103.2 + 898.3*beta - 2557.3*beta**2 + 2977.0*beta3 - 1131.3*beta4 C_inf = 0.6037 + 0.1598*beta21 - 0.2918*beta8 + 0.0244*beta4/(1-beta4) - 0.0790*beta3 elif taps == ORIFICE_VENA_CONTRACTA_TAPS: if tap_position == TAPS_OPPOSITE: if D < 0.1: b = 23.3 -207.0*beta + 821.5*beta**2 -1388.6*beta3 + 900.3*beta4 C_inf = 0.5925 + 0.3380*beta21 + 0.4016*beta8 -.1046*beta4/(1-beta4) - 0.3212*beta3 else: b = 55.7 - 471.4*beta + 1721.8*beta**2 - 2722.6*beta3 + 1569.4*beta4 C_inf = 0.5922 + 0.3932*beta21 + .3412*beta8 -.0569*beta4/(1-beta4) - 0.4628*beta3 elif tap_position == TAPS_SIDE: if D < 0.1: b = -69.3 + 556.9*beta - 1332.2*beta**2 + 1303.7*beta3 - 394.8*beta4 C_inf = 0.5875 + 0.3813*beta21 + 0.6898*beta8 -0.1963*beta4/(1-beta4) - 0.3366*beta3 else: b = 52.8 - 434.2*beta + 1571.2*beta**2 - 2460.9*beta3 + 1420.2*beta4 C_inf = 0.5949 + 0.4078*beta21 + 0.0547*beta8 +0.0955*beta4/(1-beta4) - 0.5608*beta3 else: raise ValueError(_Miller_1996_unsupported_tap_eccentric) elif subtype == MILLER_SEGMENTAL_ORIFICE or subtype == SEGMENTAL_ORIFICE: n = b = 0.0 if taps == ORIFICE_FLANGE_TAPS: if D < 0.1: C_inf = 0.6284 + 0.1462*beta21 - 0.8464*beta8 + 0.2603*beta4/(1-beta4) - 0.2886*beta3 else: C_inf = 0.6276 + 0.0828*beta21 + 0.2739*beta8 - 0.0934*beta4/(1-beta4) - 0.1132*beta3 elif taps == ORIFICE_VENA_CONTRACTA_TAPS: if D < 0.1: C_inf = 0.6261 + 0.1851*beta21 - 0.2879*beta8 + 0.1170*beta4/(1-beta4) - 0.2845*beta3 else: # Yes these are supposed to be the same as the flange, large set C_inf = 0.6276 + 0.0828*beta21 + 0.2739*beta8 - 0.0934*beta4/(1-beta4) - 0.1132*beta3 else: raise ValueError(_Miller_1996_unsupported_tap_segmental) elif subtype == MILLER_CONICAL_ORIFICE or subtype == CONICAL_ORIFICE: n = b = 0.0 if 250.0*beta <= Re <= 500.0*beta: C_inf = 0.734 else: C_inf = 0.730 elif subtype == MILLER_QUARTER_CIRCLE_ORIFICE or subtype == QUARTER_CIRCLE_ORIFICE: n = b = 0.0 C_inf = (0.7746 - 0.1334*beta21 + 1.4098*beta8 + 0.0675*beta4/(1.0 - beta4) + 0.3865*beta3) else: raise ValueError(_Miller_1996_unsupported_type) C = C_inf + b*Re**-n return C # Data from: Discharge Coefficient Performance of Venturi, Standard Concentric Orifice Plate, V-Cone, and Wedge Flow Meters at Small Reynolds Numbers orifice_std_Res_Hollingshead = [1.0, 5.0, 10.0, 20.0, 30.0, 40.0, 60.0, 80.0, 100.0, 200.0, 300.0, 500.0, 1000.0, 2000.0, 3000.0, 5000.0, 10000.0, 100000.0, 1000000.0, 10000000.0, 50000000.0 ] orifice_std_logRes_Hollingshead = [0.0, 1.6094379124341003, 2.302585092994046, 2.995732273553991, 3.4011973816621555, 3.6888794541139363, 4.0943445622221, 4.382026634673881, 4.605170185988092, 5.298317366548036, 5.703782474656201, 6.214608098422191, 6.907755278982137, 7.600902459542082, 8.006367567650246, 8.517193191416238, 9.210340371976184, 11.512925464970229, 13.815510557964274, 16.11809565095832, 17.72753356339242 ] orifice_std_betas_Hollingshead = [0.5, 0.6, 0.65, 0.7] orifice_std_beta_5_Hollingshead_Cs = [0.233, 0.478, 0.585, 0.654, 0.677, 0.688, 0.697, 0.700, 0.702, 0.699, 0.693, 0.684, 0.67, 0.648, 0.639, 0.632, 0.629, 0.619, 0.615, 0.614, 0.614 ] orifice_std_beta_6_Hollingshead_Cs = [0.212, 0.448, 0.568, 0.657, 0.689, 0.707, 0.721, 0.725, 0.727, 0.725, 0.719, 0.707, 0.688, 0.658, 0.642, 0.633, 0.624, 0.61, 0.605, 0.602, 0.595 ] orifice_std_beta_65_Hollingshead_Cs = [0.202, 0.425, 0.546, 0.648, 0.692, 0.715, 0.738, 0.748, 0.754, 0.764, 0.763, 0.755, 0.736, 0.685, 0.666, 0.656, 0.641, 0.622, 0.612, 0.61, 0.607 ] orifice_std_beta_7_Hollingshead_Cs = [0.191, 0.407, 0.532, 0.644, 0.696, 0.726, 0.756, 0.772, 0.781, 0.795, 0.796, 0.788, 0.765, 0.7, 0.67, 0.659, 0.646, 0.623, 0.616, 0.607, 0.604 ] orifice_std_Hollingshead_Cs = [orifice_std_beta_5_Hollingshead_Cs, orifice_std_beta_6_Hollingshead_Cs, orifice_std_beta_65_Hollingshead_Cs, orifice_std_beta_7_Hollingshead_Cs ] orifice_std_Hollingshead_tck = implementation_optimize_tck([ [0.5, 0.5, 0.5, 0.5, 0.7, 0.7, 0.7, 0.7], [0.0, 0.0, 0.0, 0.0, 2.302585092994046, 2.995732273553991, 3.4011973816621555, 3.6888794541139363, 4.0943445622221, 4.382026634673881, 4.605170185988092, 5.298317366548036, 5.703782474656201, 6.214608098422191, 6.907755278982137, 7.600902459542082, 8.006367567650246, 8.517193191416238, 9.210340371976184, 11.512925464970229, 13.815510557964274, 17.72753356339242, 17.72753356339242, 17.72753356339242, 17.72753356339242 ], [0.23300000000000026, 0.3040793845022822, 0.5397693379388018, 0.6509414325648643, 0.6761419937262648, 0.6901697401156808, 0.6972240707909276, 0.6996759572505151, 0.7040223363705952, 0.7008741587711967, 0.692665226515394, 0.6826387818678974, 0.6727930643166521, 0.6490542161859936, 0.6378780959698012, 0.6302027504736312, 0.6284904523610422, 0.616773266650063, 0.6144108030024114, 0.6137270770149181, 0.6140000000000004, 0.21722222222222212, 0.26754856063815036, 0.547178981607613, 0.6825835849471493, 0.6848255120880751, 0.712775784969247, 0.7066842545008245, 0.7020345744268808, 0.6931476737316041, 0.6710886785478944, 0.6501218695989138, 0.6257164975579488, 0.5888463567232898, 0.6237505336392806, 0.578149766754485, 0.5761890160080455, 0.5922303103985014, 0.5657790974864929, 0.6013376373672517, 0.5693593555949975, 0.5528888888888888, 0.206777777777778, 0.2644342350096853, 0.4630985572034346, 0.6306849522311501, 0.6899260188747366, 0.7092703879134302, 0.7331416654072416, 0.7403866219900521, 0.7531493636395633, 0.7685019053395048, 0.771007019842085, 0.7649533772965396, 0.7707020081746302, 0.6897832472092346, 0.6910618341373851, 0.6805763529796045, 0.6291884772151493, 0.6470904244660671, 0.5962879899497537, 0.6353096798316025, 0.6277777777777779, 0.19100000000000003, 0.23712276889270198, 0.44482842661392175, 0.6337225464930397, 0.6926462978136392, 0.7316874888663132, 0.7542057211530093, 0.77172737538752, 0.7876049778429112, 0.795143180926116, 0.7977570986094262, 0.7861445043222344, 0.777182818678971, 0.7057345800650827, 0.6626698628526632, 0.6600690433654985, 0.6323396431072075, 0.6212684034830293, 0.616281323630018, 0.603728515722033, 0.6040000000000001 ], 3, 3 ]) def C_eccentric_orifice_ISO_15377_1998(D, Do): r'''Calculates the coefficient of discharge of an eccentric orifice based on the geometry of the plate according to ISO 15377, first introduced in 1998 and also presented in the second 2007 edition. It also appears in BS 1042-1.2: 1989. .. math:: C = 0.9355 - 1.6889\beta + 3.0428\beta^2 - 1.7989\beta^3 This type of plate is normally used to avoid obstructing entrained gas, liquid, or sediment. Parameters ---------- D : float Upstream internal pipe diameter, [m] Do : float Diameter of orifice at flow conditions, [m] Returns ------- C : float Coefficient of discharge of the eccentric orifice, [-] Notes ----- No correction for where the orifice bore is located is included. The following limits apply to the orifice plate standard [1]_: * Bore diameter above 50 mm. * Pipe diameter between 10 cm and 1 m. * Beta ratio between 0.46 and 0.84 * :math:`2\times 10^5 \beta^2 \le Re_D \le 10^6 \beta` The uncertainty of this equation for `C` is said to be 1% if `beta` is under 0.75, otherwise 2%. The `orifice_expansibility` function should be used with this method as well. Additional specifications are: * The thickness of the orifice should be between 0.005`D` and 0.02`D`. * Corner tappings should be used, with hole diameter between 3 and 10 mm. The angular orientation of the tappings matters because the flow meter is not symmetrical. The angle should ideally be at the top or bottom of the plate, opposite which side the bore is on - but this can cause issues with deposition if the taps are on the bottom or gas bubbles if the taps are on the taps. The taps are often placed 30 degrees away from the ideal position to counteract this effect, with under an extra 2% error. Some comparisons with CFD results can be found in [2]_. Examples -------- >>> C_eccentric_orifice_ISO_15377_1998(.2, .075) 0.6351923828125 References ---------- .. [1] TC 30/SC 2, ISO. ISO/TR 15377:1998, Measurement of Fluid Flow by Means of Pressure-Differential Devices - Guide for the Specification of Nozzles and Orifice Plates beyond the Scope of ISO 5167-1. .. [2] Yashvanth, S., Varadarajan Seshadri, and J. YogeshKumarK. "CFD Analysis of Flow through Single and Multi Stage Eccentric Orifice Plate Assemblies," 2017. ''' beta = Do/D C = beta*(beta*(3.0428 - 1.7989*beta) - 1.6889) + 0.9355 return C def C_quarter_circle_orifice_ISO_15377_1998(D, Do): r'''Calculates the coefficient of discharge of a quarter circle orifice based on the geometry of the plate according to ISO 15377, first introduced in 1998 and also presented in the second 2007 edition. It also appears in BS 1042-1.2: 1989. .. math:: C = 0.73823 + 0.3309\beta - 1.1615\beta^2 + 1.5084\beta^3 Parameters ---------- D : float Upstream internal pipe diameter, [m] Do : float Diameter of orifice at flow conditions, [m] Returns ------- C : float Coefficient of discharge of the quarter circle orifice, [-] Notes ----- The discharge coefficient of this type of orifice plate remains constant down to a lower than normal `Re`, as occurs in highly viscous applications. The following limits apply to the orifice plate standard [1]_: * Bore diameter >= 1.5 cm * Pipe diameter <= 50 cm * Beta ratio between 0.245 and 0.6 * :math:`Re_d \le 10^5 \beta` There is also a table in [1]_ which lists increased minimum upstream pipe diameters for pipes of different roughnesses; the higher the roughness, the larger the pipe diameter required, and the table goes up to 20 cm for rusty cast iron. Corner taps should be used up to pipe diameters of 40 mm; for larger pipes, corner or flange taps can be used. No impact on the flow coefficient is included in the correlation. The recommended expansibility method for this type of orifice is :obj:`orifice_expansibility`. Examples -------- >>> C_quarter_circle_orifice_ISO_15377_1998(.2, .075) 0.77851484375000 References ---------- .. [1] TC 30/SC 2, ISO. ISO/TR 15377:1998, Measurement of Fluid Flow by Means of Pressure-Differential Devices - Guide for the Specification of Nozzles and Orifice Plates beyond the Scope of ISO 5167-1. ''' beta = Do/D C = beta*(beta*(1.5084*beta - 1.16158) + 0.3309) + 0.73823 return C def discharge_coefficient_to_K(D, Do, C): r'''Converts a discharge coefficient to a standard loss coefficient, for use in computation of the actual pressure drop of an orifice or other device. .. math:: K = \left[\frac{\sqrt{1-\beta^4(1-C^2)}}{C\beta^2} - 1\right]^2 Parameters ---------- D : float Upstream internal pipe diameter, [m] Do : float Diameter of orifice at flow conditions, [m] C : float Coefficient of discharge of the orifice, [-] Returns ------- K : float Loss coefficient with respect to the velocity and density of the fluid just upstream of the orifice, [-] Notes ----- If expansibility is used in the orifice calculation, the result will not match with the specified pressure drop formula in [1]_; it can almost be matched by dividing the calculated mass flow by the expansibility factor and using that mass flow with the loss coefficient. Examples -------- >>> discharge_coefficient_to_K(D=0.07366, Do=0.05, C=0.61512) 5.2314291729754 References ---------- .. [1] American Society of Mechanical Engineers. Mfc-3M-2004 Measurement Of Fluid Flow In Pipes Using Orifice, Nozzle, And Venturi. ASME, 2001. .. [2] ISO 5167-2:2003 - Measurement of Fluid Flow by Means of Pressure Differential Devices Inserted in Circular Cross-Section Conduits Running Full -- Part 2: Orifice Plates. ''' beta = Do/D beta2 = beta*beta beta4 = beta2*beta2 root_K = (sqrt(1.0 - beta4*(1.0 - C*C))/(C*beta2) - 1.0) return root_K*root_K def K_to_discharge_coefficient(D, Do, K): r'''Converts a standard loss coefficient to a discharge coefficient. .. math:: C = \sqrt{\frac{1}{2 \sqrt{K} \beta^{4} + K \beta^{4}} - \frac{\beta^{4}}{2 \sqrt{K} \beta^{4} + K \beta^{4}} } Parameters ---------- D : float Upstream internal pipe diameter, [m] Do : float Diameter of orifice at flow conditions, [m] K : float Loss coefficient with respect to the velocity and density of the fluid just upstream of the orifice, [-] Returns ------- C : float Coefficient of discharge of the orifice, [-] Notes ----- If expansibility is used in the orifice calculation, the result will not match with the specified pressure drop formula in [1]_; it can almost be matched by dividing the calculated mass flow by the expansibility factor and using that mass flow with the loss coefficient. This expression was derived with SymPy, and checked numerically. There were three other, incorrect roots. Examples -------- >>> K_to_discharge_coefficient(D=0.07366, Do=0.05, K=5.2314291729754) 0.6151200000000001 References ---------- .. [1] American Society of Mechanical Engineers. Mfc-3M-2004 Measurement Of Fluid Flow In Pipes Using Orifice, Nozzle, And Venturi. ASME, 2001. .. [2] ISO 5167-2:2003 - Measurement of Fluid Flow by Means of Pressure Differential Devices Inserted in Circular Cross-Section Conduits Running Full -- Part 2: Orifice Plates. ''' beta = Do/D beta2 = beta*beta beta4 = beta2*beta2 root_K = sqrt(K) return sqrt((1.0 - beta4)/((2.0*root_K + K)*beta4)) def dP_orifice(D, Do, P1, P2, C): r'''Calculates the non-recoverable pressure drop of an orifice plate based on the pressure drop and the geometry of the plate and the discharge coefficient. .. math:: \Delta\bar w = \frac{\sqrt{1-\beta^4(1-C^2)}-C\beta^2} {\sqrt{1-\beta^4(1-C^2)}+C\beta^2} (P_1 - P_2) Parameters ---------- D : float Upstream internal pipe diameter, [m] Do : float Diameter of orifice at flow conditions, [m] P1 : float Static pressure of fluid upstream of orifice at the cross-section of the pressure tap, [Pa] P2 : float Static pressure of fluid downstream of orifice at the cross-section of the pressure tap, [Pa] C : float Coefficient of discharge of the orifice, [-] Returns ------- dP : float Non-recoverable pressure drop of the orifice plate, [Pa] Notes ----- This formula can be well approximated by: .. math:: \Delta\bar w = \left(1 - \beta^{1.9}\right)(P_1 - P_2) The recoverable pressure drop should be recovered by 6 pipe diameters downstream of the orifice plate. Examples -------- >>> dP_orifice(D=0.07366, Do=0.05, P1=200000.0, P2=183000.0, C=0.61512) 9069.474705745388 References ---------- .. [1] American Society of Mechanical Engineers. Mfc-3M-2004 Measurement Of Fluid Flow In Pipes Using Orifice, Nozzle, And Venturi. ASME, 2001. .. [2] ISO 5167-2:2003 - Measurement of Fluid Flow by Means of Pressure Differential Devices Inserted in Circular Cross-Section Conduits Running Full -- Part 2: Orifice Plates. ''' beta = Do/D beta2 = beta*beta beta4 = beta2*beta2 dP = P1 - P2 delta_w = (sqrt(1.0 - beta4*(1.0 - C*C)) - C*beta2)/( sqrt(1.0 - beta4*(1.0 - C*C)) + C*beta2)*dP return delta_w def velocity_of_approach_factor(D, Do): r'''Calculates a factor for orifice plate design called the `velocity of approach`. .. math:: \text{Velocity of approach} = \frac{1}{\sqrt{1 - \beta^4}} Parameters ---------- D : float Upstream internal pipe diameter, [m] Do : float Diameter of orifice at flow conditions, [m] Returns ------- velocity_of_approach : float Coefficient of discharge of the orifice, [-] Notes ----- Examples -------- >>> velocity_of_approach_factor(D=0.0739, Do=0.0222) 1.0040970074165514 References ---------- .. [1] American Society of Mechanical Engineers. Mfc-3M-2004 Measurement Of Fluid Flow In Pipes Using Orifice, Nozzle, And Venturi. ASME, 2001. ''' return 1.0/sqrt(1.0 - (Do/D)**4) def flow_coefficient(D, Do, C): r'''Calculates a factor for differential pressure flow meter design called the `flow coefficient`. This should not be confused with the flow coefficient often used when discussing valves. .. math:: \text{Flow coefficient} = \frac{C}{\sqrt{1 - \beta^4}} Parameters ---------- D : float Upstream internal pipe diameter, [m] Do : float Diameter of flow meter characteristic dimension at flow conditions, [m] C : float Coefficient of discharge of the flow meter, [-] Returns ------- flow_coefficient : float Differential pressure flow meter flow coefficient, [-] Notes ----- This measure is used not just for orifices but for other differential pressure flow meters [2]_. It is sometimes given the symbol K. It is also equal to the product of the diacharge coefficient and the velocity of approach factor [2]_. Examples -------- >>> flow_coefficient(D=0.0739, Do=0.0222, C=0.6) 0.6024582044499308 References ---------- .. [1] American Society of Mechanical Engineers. Mfc-3M-2004 Measurement Of Fluid Flow In Pipes Using Orifice, Nozzle, And Venturi. ASME, 2001. .. [2] Miller, Richard W. Flow Measurement Engineering Handbook. 3rd edition. New York: McGraw-Hill Education, 1996. ''' return C*1.0/sqrt(1.0 - (Do/D)**4) def nozzle_expansibility(D, Do, P1, P2, k, beta=None): r'''Calculates the expansibility factor for a nozzle or venturi nozzle, based on the geometry of the plate, measured pressures of the orifice, and the isentropic exponent of the fluid. .. math:: \epsilon = \left\{\left(\frac{\kappa \tau^{2/\kappa}}{\kappa-1}\right) \left(\frac{1 - \beta^4}{1 - \beta^4 \tau^{2/\kappa}}\right) \left[\frac{1 - \tau^{(\kappa-1)/\kappa}}{1 - \tau} \right] \right\}^{0.5} Parameters ---------- D : float Upstream internal pipe diameter, [m] Do : float Diameter of orifice of the venturi or nozzle, [m] P1 : float Static pressure of fluid upstream of orifice at the cross-section of the pressure tap, [Pa] P2 : float Static pressure of fluid downstream of orifice at the cross-section of the pressure tap, [Pa] k : float Isentropic exponent of fluid, [-] beta : float, optional Optional `beta` ratio, which is useful to specify for wedge meters or flow meters which have a different beta ratio calculation, [-] Returns ------- expansibility : float Expansibility factor (1 for incompressible fluids, less than 1 for real fluids), [-] Notes ----- This formula was determined for the range of P2/P1 >= 0.75. Mathematically the equation cannot be evaluated at `k` = 1, but if the limit of the equation is taken the following equation is obtained and is implemented: .. math:: \epsilon = \sqrt{\frac{- D^{4} P_{1} P_{2}^{2} \log{\left(\frac{P_{2}} {P_{1}} \right)} + Do^{4} P_{1} P_{2}^{2} \log{\left(\frac{P_{2}}{P_{1}} \right)}}{D^{4} P_{1}^{3} - D^{4} P_{1}^{2} P_{2} - Do^{4} P_{1} P_{2}^{2} + Do^{4} P_{2}^{3}}} Note also there is a small amount of floating-point error around the range of `k` ~1+1e-5 to ~1-1e-5, starting with 1e-7 and increasing to the point of giving values larger than 1 or zero in the `k` ~1+1e-12 to ~1-1e-12 range. Examples -------- >>> nozzle_expansibility(D=0.0739, Do=0.0222, P1=1E5, P2=9.9E4, k=1.4) 0.994570234456 References ---------- .. [1] American Society of Mechanical Engineers. Mfc-3M-2004 Measurement Of Fluid Flow In Pipes Using Orifice, Nozzle, And Venturi. ASME, 2001. .. [2] ISO 5167-3:2003 - Measurement of Fluid Flow by Means of Pressure Differential Devices Inserted in Circular Cross-Section Conduits Running Full -- Part 3: Nozzles and Venturi Nozzles. ''' if beta is None: beta = Do/D beta2 = beta*beta beta4 = beta2*beta2 tau = P2/P1 if k == 1.0: '''Avoid a zero division error: from sympy import * D, Do, P1, P2, k = symbols('D, Do, P1, P2, k') beta = Do/D tau = P2/P1 term1 = k*tau**(2/k )/(k - 1) term2 = (1 - beta**4)/(1 - beta**4*tau**(2/k)) term3 = (1 - tau**((k - 1)/k))/(1 - tau) val= sqrt(term1*term2*term3) print(simplify(limit((term1*term2*term3), k, 1))) ''' limit_val = (P1*P2**2*(-D**4 + Do**4)*log(P2/P1)/(D**4*P1**3 - D**4*P1**2*P2 - Do**4*P1*P2**2 + Do**4*P2**3)) return sqrt(limit_val) term1 = k*tau**(2.0/k)/(k - 1.0) term2 = (1.0 - beta4)/(1.0 - beta4*tau**(2.0/k)) if tau == 1.0: '''Avoid a zero division error. Obtained with: from sympy import * tau, k = symbols('tau, k') expr = (1 - tau**((k - 1)/k))/(1 - tau) limit(expr, tau, 1) ''' term3 = (k - 1.0)/k else: # This form of the equation is mathematically equivalent but # does not have issues where k = `. term3 = (P1 - P2*(tau)**(-1.0/k))/(P1 - P2) # term3 = (1.0 - tau**((k - 1.0)/k))/(1.0 - tau) return sqrt(term1*term2*term3) def C_long_radius_nozzle(D, Do, rho, mu, m): r'''Calculates the coefficient of discharge of a long radius nozzle used for measuring flow rate of fluid, based on the geometry of the nozzle, mass flow rate through the nozzle, and the density and viscosity of the fluid. .. math:: C = 0.9965 - 0.00653\beta^{0.5} \left(\frac{10^6}{Re_D}\right)^{0.5} Parameters ---------- D : float Upstream internal pipe diameter, [m] Do : float Diameter of long radius nozzle orifice at flow conditions, [m] rho : float Density of fluid at `P1`, [kg/m^3] mu : float Viscosity of fluid at `P1`, [Pa*s] m : float Mass flow rate of fluid through the nozzle, [kg/s] Returns ------- C : float Coefficient of discharge of the long radius nozzle orifice, [-] Notes ----- Examples -------- >>> C_long_radius_nozzle(D=0.07391, Do=0.0422, rho=1.2, mu=1.8E-5, m=0.1) 0.9805503704679863 References ---------- .. [1] American Society of Mechanical Engineers. Mfc-3M-2004 Measurement Of Fluid Flow In Pipes Using Orifice, Nozzle, And Venturi. ASME, 2001. .. [2] ISO 5167-3:2003 - Measurement of Fluid Flow by Means of Pressure Differential Devices Inserted in Circular Cross-Section Conduits Running Full -- Part 3: Nozzles and Venturi Nozzles. ''' A_pipe = pi/4.*D*D v = m/(A_pipe*rho) Re_D = rho*v*D/mu beta = Do/D return 0.9965 - 0.00653*sqrt(beta)*sqrt(1E6/Re_D) def C_ISA_1932_nozzle(D, Do, rho, mu, m): r'''Calculates the coefficient of discharge of an ISA 1932 style nozzle used for measuring flow rate of fluid, based on the geometry of the nozzle, mass flow rate through the nozzle, and the density and viscosity of the fluid. .. math:: C = 0.9900 - 0.2262\beta^{4.1} - (0.00175\beta^2 - 0.0033\beta^{4.15}) \left(\frac{10^6}{Re_D}\right)^{1.15} Parameters ---------- D : float Upstream internal pipe diameter, [m] Do : float Diameter of nozzle orifice at flow conditions, [m] rho : float Density of fluid at `P1`, [kg/m^3] mu : float Viscosity of fluid at `P1`, [Pa*s] m : float Mass flow rate of fluid through the nozzle, [kg/s] Returns ------- C : float Coefficient of discharge of the nozzle orifice, [-] Notes ----- Examples -------- >>> C_ISA_1932_nozzle(D=0.07391, Do=0.0422, rho=1.2, mu=1.8E-5, m=0.1) 0.9635849973250495 References ---------- .. [1] American Society of Mechanical Engineers. Mfc-3M-2004 Measurement Of Fluid Flow In Pipes Using Orifice, Nozzle, And Venturi. ASME, 2001. .. [2] ISO 5167-3:2003 - Measurement of Fluid Flow by Means of Pressure Differential Devices Inserted in Circular Cross-Section Conduits Running Full -- Part 3: Nozzles and Venturi Nozzles. ''' A_pipe = pi/4.*D*D v = m/(A_pipe*rho) Re_D = rho*v*D/mu beta = Do/D C = (0.9900 - 0.2262*beta**4.1 - (0.00175*beta**2 - 0.0033*beta**4.15)*(1E6/Re_D)**1.15) return C def C_venturi_nozzle(D, Do): r'''Calculates the coefficient of discharge of an Venturi style nozzle used for measuring flow rate of fluid, based on the geometry of the nozzle. .. math:: C = 0.9858 - 0.196\beta^{4.5} Parameters ---------- D : float Upstream internal pipe diameter, [m] Do : float Diameter of nozzle orifice at flow conditions, [m] Returns ------- C : float Coefficient of discharge of the nozzle orifice, [-] Notes ----- Examples -------- >>> C_venturi_nozzle(D=0.07391, Do=0.0422) 0.9698996454169576 References ---------- .. [1] American Society of Mechanical Engineers. Mfc-3M-2004 Measurement Of Fluid Flow In Pipes Using Orifice, Nozzle, And Venturi. ASME, 2001. .. [2] ISO 5167-3:2003 - Measurement of Fluid Flow by Means of Pressure Differential Devices Inserted in Circular Cross-Section Conduits Running Full -- Part 3: Nozzles and Venturi Nozzles. ''' beta = Do/D return 0.9858 - 0.198*beta**4.5 # Relative pressure loss as a function of beta reatio for venturi nozzles # Venturi nozzles should be between 65 mm and 500 mm; there are high and low # loss ratios , with the high losses corresponding to small diameters, # low high losses corresponding to large diameters # Interpolation can be performed. venturi_tube_betas = [0.299160, 0.299470, 0.312390, 0.319010, 0.326580, 0.337290, 0.342020, 0.347060, 0.359030, 0.365960, 0.372580, 0.384870, 0.385810, 0.401250, 0.405350, 0.415740, 0.424250, 0.434010, 0.447880, 0.452590, 0.471810, 0.473090, 0.493540, 0.499240, 0.516530, 0.523800, 0.537630, 0.548060, 0.556840, 0.573890, 0.582350, 0.597820, 0.601560, 0.622650, 0.626490, 0.649480, 0.650990, 0.668700, 0.675870, 0.688550, 0.693180, 0.706180, 0.713330, 0.723510, 0.749540, 0.749650] venturi_tube_dP_high = [0.164534, 0.164504, 0.163591, 0.163508, 0.163439, 0.162652, 0.162224, 0.161866, 0.161238, 0.160786, 0.160295, 0.159280, 0.159193, 0.157776, 0.157467, 0.156517, 0.155323, 0.153835, 0.151862, 0.151154, 0.147840, 0.147613, 0.144052, 0.143050, 0.140107, 0.138981, 0.136794, 0.134737, 0.132847, 0.129303, 0.127637, 0.124758, 0.124006, 0.119269, 0.118449, 0.113605, 0.113269, 0.108995, 0.107109, 0.103688, 0.102529, 0.099567, 0.097791, 0.095055, 0.087681, 0.087648] venturi_tube_dP_low = [0.089232, 0.089218, 0.088671, 0.088435, 0.088206, 0.087853, 0.087655, 0.087404, 0.086693, 0.086241, 0.085813, 0.085142, 0.085102, 0.084446, 0.084202, 0.083301, 0.082470, 0.081650, 0.080582, 0.080213, 0.078509, 0.078378, 0.075989, 0.075226, 0.072700, 0.071598, 0.069562, 0.068128, 0.066986, 0.064658, 0.063298, 0.060872, 0.060378, 0.057879, 0.057403, 0.054091, 0.053879, 0.051726, 0.050931, 0.049362, 0.048675, 0.046522, 0.045381, 0.043840, 0.039913, 0.039896] #ratios_average = 0.5*(ratios_high + ratios_low) D_bound_venturi_tube = [0.065, 0.5] def dP_venturi_tube(D, Do, P1, P2): r'''Calculates the non-recoverable pressure drop of a venturi tube differential pressure meter based on the pressure drop and the geometry of the venturi meter. .. math:: \epsilon = \frac{\Delta\bar w }{\Delta P} The :math:`\epsilon` value is looked up in a table of values as a function of beta ratio and upstream pipe diameter (roughness impact). Parameters ---------- D : float Upstream internal pipe diameter, [m] Do : float Diameter of venturi tube at flow conditions, [m] P1 : float Static pressure of fluid upstream of venturi tube at the cross-section of the pressure tap, [Pa] P2 : float Static pressure of fluid downstream of venturi tube at the cross-section of the pressure tap, [Pa] Returns ------- dP : float Non-recoverable pressure drop of the venturi tube, [Pa] Notes ----- The recoverable pressure drop should be recovered by 6 pipe diameters downstream of the venturi tube. Note there is some information on the effect of Reynolds number as well in [1]_ and [2]_, with a curve showing an increased pressure drop from 1E5-6E5 to with a decreasing multiplier from 1.75 to 1; the multiplier is 1 for higher Reynolds numbers. This is not currently included in this implementation. Examples -------- >>> dP_venturi_tube(D=0.07366, Do=0.05, P1=200000.0, P2=183000.0) 1788.5717754177406 References ---------- .. [1] American Society of Mechanical Engineers. Mfc-3M-2004 Measurement Of Fluid Flow In Pipes Using Orifice, Nozzle, And Venturi. ASME, 2001. .. [2] ISO 5167-4:2003 - Measurement of Fluid Flow by Means of Pressure Differential Devices Inserted in Circular Cross-Section Conduits Running Full -- Part 4: Venturi Tubes. ''' # Effect of Re is not currently included beta = Do/D epsilon_D65 = interp(beta, venturi_tube_betas, venturi_tube_dP_high) epsilon_D500 = interp(beta, venturi_tube_betas, venturi_tube_dP_low) epsilon = interp(D, D_bound_venturi_tube, [epsilon_D65, epsilon_D500]) return epsilon*(P1 - P2) def diameter_ratio_cone_meter(D, Dc): r'''Calculates the diameter ratio `beta` used to characterize a cone flow meter. .. math:: \beta = \sqrt{1 - \frac{d_c^2}{D^2}} Parameters ---------- D : float Upstream internal pipe diameter, [m] Dc : float Diameter of the largest end of the cone meter, [m] Returns ------- beta : float Cone meter diameter ratio, [-] Notes ----- A mathematically equivalent formula often written is: .. math:: \beta = \frac{\sqrt{D^2 - d_c^2}}{D} Examples -------- >>> diameter_ratio_cone_meter(D=0.2575, Dc=0.184) 0.6995709873957624 References ---------- .. [1] Hollingshead, Colter. "Discharge Coefficient Performance of Venturi, Standard Concentric Orifice Plate, V-Cone, and Wedge Flow Meters at Small Reynolds Numbers." May 1, 2011. https://digitalcommons.usu.edu/etd/869. ''' D_ratio = Dc/D return sqrt(1.0 - D_ratio*D_ratio) def cone_meter_expansibility_Stewart(D, Dc, P1, P2, k): r'''Calculates the expansibility factor for a cone flow meter, based on the geometry of the cone meter, measured pressures of the orifice, and the isentropic exponent of the fluid. Developed in [1]_, also shown in [2]_. .. math:: \epsilon = 1 - (0.649 + 0.696\beta^4) \frac{\Delta P}{\kappa P_1} Parameters ---------- D : float Upstream internal pipe diameter, [m] Dc : float Diameter of the largest end of the cone meter, [m] P1 : float Static pressure of fluid upstream of cone meter at the cross-section of the pressure tap, [Pa] P2 : float Static pressure of fluid at the end of the center of the cone pressure tap, [Pa] k : float Isentropic exponent of fluid, [-] Returns ------- expansibility : float Expansibility factor (1 for incompressible fluids, less than 1 for real fluids), [-] Notes ----- This formula was determined for the range of P2/P1 >= 0.75; the only gas used to determine the formula is air. Examples -------- >>> cone_meter_expansibility_Stewart(D=1, Dc=0.9, P1=1E6, P2=8.5E5, k=1.2) 0.9157343 References ---------- .. [1] Stewart, D. G., M. Reader-Harris, and NEL Dr RJW Peters. "Derivation of an Expansibility Factor for the V-Cone Meter." In Flow Measurement International Conference, Peebles, Scotland, UK, 2001. .. [2] ISO 5167-5:2016 - Measurement of Fluid Flow by Means of Pressure Differential Devices Inserted in Circular Cross-Section Conduits Running Full -- Part 5: Cone meters. ''' dP = P1 - P2 beta = diameter_ratio_cone_meter(D, Dc) beta *= beta beta *= beta return 1.0 - (0.649 + 0.696*beta)*dP/(k*P1) def dP_cone_meter(D, Dc, P1, P2): r'''Calculates the non-recoverable pressure drop of a cone meter based on the measured pressures before and at the cone end, and the geometry of the cone meter according to [1]_. .. math:: \Delta \bar \omega = (1.09 - 0.813\beta)\Delta P Parameters ---------- D : float Upstream internal pipe diameter, [m] Dc : float Diameter of the largest end of the cone meter, [m] P1 : float Static pressure of fluid upstream of cone meter at the cross-section of the pressure tap, [Pa] P2 : float Static pressure of fluid at the end of the center of the cone pressure tap, [Pa] Returns ------- dP : float Non-recoverable pressure drop of the orifice plate, [Pa] Notes ----- The recoverable pressure drop should be recovered by 6 pipe diameters downstream of the cone meter. Examples -------- >>> dP_cone_meter(1, .7, 1E6, 9.5E5) 25470.093437973323 References ---------- .. [1] ISO 5167-5:2016 - Measurement of Fluid Flow by Means of Pressure Differential Devices Inserted in Circular Cross-Section Conduits Running Full -- Part 5: Cone meters. ''' dP = P1 - P2 beta = diameter_ratio_cone_meter(D, Dc) return (1.09 - 0.813*beta)*dP def diameter_ratio_wedge_meter(D, H): r'''Calculates the diameter ratio `beta` used to characterize a wedge flow meter as given in [1]_ and [2]_. .. math:: \beta = \left(\frac{1}{\pi}\left\{\arccos\left[1 - \frac{2H}{D} \right] - 2 \left[1 - \frac{2H}{D} \right]\left(\frac{H}{D} - \left[\frac{H}{D}\right]^2 \right)^{0.5}\right\}\right)^{0.5} Parameters ---------- D : float Upstream internal pipe diameter, [m] H : float Portion of the diameter of the clear segment of the pipe up to the wedge blocking flow; the height of the pipe up to the wedge, [m] Returns ------- beta : float Wedge meter diameter ratio, [-] Notes ----- Examples -------- >>> diameter_ratio_wedge_meter(D=0.2027, H=0.0608) 0.5022531424646643 References ---------- .. [1] Hollingshead, Colter. "Discharge Coefficient Performance of Venturi, Standard Concentric Orifice Plate, V-Cone, and Wedge Flow Meters at Small Reynolds Numbers." May 1, 2011. https://digitalcommons.usu.edu/etd/869. .. [2] IntraWedge WEDGE FLOW METER Type: IWM. January 2011. http://www.intra-automation.com/download.php?file=pdf/products/technical_information/en/ti_iwm_en.pdf ''' H_D = H/D t0 = 1.0 - 2.0*H_D t1 = acos(t0) t2 = t0 + t0 t3 = sqrt(H_D - H_D*H_D) t4 = t1 - t2*t3 return sqrt(pi_inv*t4) def C_wedge_meter_Miller(D, H): r'''Calculates the coefficient of discharge of an wedge flow meter used for measuring flow rate of fluid, based on the geometry of the differential pressure flow meter. For half-inch lines: .. math:: C = 0.7883 + 0.107(1 - \beta^2) For 1 to 1.5 inch lines: .. math:: C = 0.6143 + 0.718(1 - \beta^2) For 1.5 to 24 inch lines: .. math:: C = 0.5433 + 0.2453(1 - \beta^2) Parameters ---------- D : float Upstream internal pipe diameter, [m] H : float Portion of the diameter of the clear segment of the pipe up to the wedge blocking flow; the height of the pipe up to the wedge, [m] Returns ------- C : float Coefficient of discharge of the wedge flow meter, [-] Notes ----- There is an ISO standard being developed to cover wedge meters as of 2018. Wedge meters can have varying angles; 60 and 90 degree wedge meters have been reported. Tap locations 1 or 2 diameters (upstream and downstream), and 2D upstream/1D downstream have been used. Some wedges are sharp; some are smooth. [2]_ gives some experimental values. Examples -------- >>> C_wedge_meter_Miller(D=0.1524, H=0.3*0.1524) 0.7267069372687651 References ---------- .. [1] Miller, Richard W. Flow Measurement Engineering Handbook. 3rd edition. New York: McGraw-Hill Education, 1996. .. [2] Seshadri, V., S. N. Singh, and S. Bhargava. "Effect of Wedge Shape and Pressure Tap Locations on the Characteristics of a Wedge Flowmeter." IJEMS Vol.01(5), October 1994. ''' beta = diameter_ratio_wedge_meter(D, H) beta *= beta if D <= 0.7*inch: # suggested limit 0.5 inch for this equation C = 0.7883 + 0.107*(1.0 - beta) elif D <= 1.4*inch: # Suggested limit is under 1.5 inches C = 0.6143 + 0.718*(1.0 - beta) else: C = 0.5433 + 0.2453*(1.0 - beta) return C def C_wedge_meter_ISO_5167_6_2017(D, H): r'''Calculates the coefficient of discharge of an wedge flow meter used for measuring flow rate of fluid, based on the geometry of the differential pressure flow meter according to the ISO 5167-6 standard (draft 2017). .. math:: C = 0.77 - 0.09\beta Parameters ---------- D : float Upstream internal pipe diameter, [m] H : float Portion of the diameter of the clear segment of the pipe up to the wedge blocking flow; the height of the pipe up to the wedge, [m] Returns ------- C : float Coefficient of discharge of the wedge flow meter, [-] Notes ----- This standard applies for wedge meters in line sizes between 50 and 600 mm; and height ratios between 0.2 and 0.6. The range of allowable Reynolds numbers is large; between 1E4 and 9E6. The uncertainty of the flow coefficient is approximately 4%. Usually a 10:1 span of flow can be measured accurately. The discharge and entry length of the meters must be at least half a pipe diameter. The wedge angle must be 90 degrees, plus or minus two degrees. The orientation of the wedge meter does not change the accuracy of this model. There should be a straight run of 10 pipe diameters before the wedge meter inlet, and two of the same pipe diameters after it. Examples -------- >>> C_wedge_meter_ISO_5167_6_2017(D=0.1524, H=0.3*0.1524) 0.724792059539853 References ---------- .. [1] ISO/DIS 5167-6 - Measurement of Fluid Flow by Means of Pressure Differential Devices Inserted in Circular Cross-Section Conduits Running Full -- Part 6: Wedge Meters. ''' beta = diameter_ratio_wedge_meter(D, H) return 0.77 - 0.09*beta def dP_wedge_meter(D, H, P1, P2): r'''Calculates the non-recoverable pressure drop of a wedge meter based on the measured pressures before and at the wedge meter, and the geometry of the wedge meter according to [1]_. .. math:: \Delta \bar \omega = (1.09 - 0.79\beta)\Delta P Parameters ---------- D : float Upstream internal pipe diameter, [m] H : float Portion of the diameter of the clear segment of the pipe up to the wedge blocking flow; the height of the pipe up to the wedge, [m] P1 : float Static pressure of fluid upstream of wedge meter at the cross-section of the pressure tap, [Pa] P2 : float Static pressure of fluid at the end of the wedge meter pressure tap, [ Pa] Returns ------- dP : float Non-recoverable pressure drop of the wedge meter, [Pa] Notes ----- The recoverable pressure drop should be recovered by 5 pipe diameters downstream of the wedge meter. Examples -------- >>> dP_wedge_meter(1, .7, 1E6, 9.5E5) 20344.849697483587 References ---------- .. [1] ISO/DIS 5167-6 - Measurement of Fluid Flow by Means of Pressure Differential Devices Inserted in Circular Cross-Section Conduits Running Full -- Part 6: Wedge Meters. ''' dP = P1 - P2 beta = diameter_ratio_wedge_meter(D, H) return (1.09 - 0.79*beta)*dP def C_Reader_Harris_Gallagher_wet_venturi_tube(mg, ml, rhog, rhol, D, Do, H=1): r'''Calculates the coefficient of discharge of the wet gas venturi tube based on the geometry of the tube, mass flow rates of liquid and vapor through the tube, the density of the liquid and gas phases, and an adjustable coefficient `H`. .. math:: C = 1 - 0.0463\exp(-0.05Fr_{gas, th}) \cdot \min\left(1, \sqrt{\frac{X}{0.016}}\right) .. math:: Fr_{gas, th} = \frac{Fr_{\text{gas, densionetric }}}{\beta^{2.5}} .. math:: \phi = \sqrt{1 + C_{Ch} X + X^2} .. math:: C_{Ch} = \left(\frac{\rho_l}{\rho_{1,g}}\right)^n + \left(\frac{\rho_{1, g}}{\rho_{l}}\right)^n .. math:: n = \max\left[0.583 - 0.18\beta^2 - 0.578\exp\left(\frac{-0.8 Fr_{\text{gas, densiometric}}}{H}\right),0.392 - 0.18\beta^2 \right] .. math:: X = \left(\frac{m_l}{m_g}\right) \sqrt{\frac{\rho_{1,g}}{\rho_l}} .. math:: {Fr_{\text{gas, densiometric}}} = \frac{v_{gas}}{\sqrt{gD}} \sqrt{\frac{\rho_{1,g}}{\rho_l - \rho_{1,g}}} = \frac{4m_g}{\rho_{1,g} \pi D^2 \sqrt{gD}} \sqrt{\frac{\rho_{1,g}}{\rho_l - \rho_{1,g}}} Parameters ---------- mg : float Mass flow rate of gas through the venturi tube, [kg/s] ml : float Mass flow rate of liquid through the venturi tube, [kg/s] rhog : float Density of gas at `P1`, [kg/m^3] rhol : float Density of liquid at `P1`, [kg/m^3] D : float Upstream internal pipe diameter, [m] Do : float Diameter of venturi tube at flow conditions, [m] H : float, optional A surface-tension effect coefficient used to adjust for different fluids, (1 for a hydrocarbon liquid, 1.35 for water, 0.79 for water in steam) [-] Returns ------- C : float Coefficient of discharge of the wet gas venturi tube flow meter (includes flow rate of gas ONLY), [-] Notes ----- This model has more error than single phase differential pressure meters. The model was first published in [1]_, and became ISO 11583 later. The limits of this correlation according to [2]_ are as follows: .. math:: 0.4 \le \beta \le 0.75 .. math:: 0 < X \le 0.3 .. math:: Fr_{gas, th} > 3 .. math:: \frac{\rho_g}{\rho_l} > 0.02 .. math:: D \ge 50 \text{ mm} Examples -------- >>> C_Reader_Harris_Gallagher_wet_venturi_tube(mg=5.31926, ml=5.31926/2, ... rhog=50.0, rhol=800., D=.1, Do=.06, H=1) 0.9754210845876333 References ---------- .. [1] Reader-harris, Michael, and Tuv Nel. An Improved Model for Venturi-Tube Over-Reading in Wet Gas, 2009. .. [2] ISO/TR 11583:2012 Measurement of Wet Gas Flow by Means of Pressure Differential Devices Inserted in Circular Cross-Section Conduits. ''' V = 4.0*mg/(rhog*pi*D*D) Frg = Froude_densimetric(V, L=D, rho1=rhol, rho2=rhog, heavy=False) beta = Do/D beta2 = beta*beta Fr_gas_th = Frg/(beta2*sqrt(beta)) n = max(0.583 - 0.18*beta2 - 0.578*exp(-0.8*Frg/H), 0.392 - 0.18*beta2) t0 = rhog/rhol t1 = (t0)**n C_Ch = t1 + 1.0/t1 X = ml/mg*sqrt(t0) # OF = sqrt(1.0 + X*(C_Ch + X)) C = 1.0 - 0.0463*exp(-0.05*Fr_gas_th)*min(1.0, sqrt(X/0.016)) return C def dP_Reader_Harris_Gallagher_wet_venturi_tube(D, Do, P1, P2, ml, mg, rhol, rhog, H=1.0): r'''Calculates the non-recoverable pressure drop of a wet gas venturi nozzle based on the pressure drop and the geometry of the venturi nozzle, the mass flow rates of liquid and gas through it, the densities of the vapor and liquid phase, and an adjustable coefficient `H`. .. math:: Y = \frac{\Delta \bar \omega}{\Delta P} - 0.0896 - 0.48\beta^9 .. math:: Y_{max} = 0.61\exp\left[-11\frac{\rho_{1,g}}{\rho_l} - 0.045 \frac{Fr_{gas}}{H}\right] .. math:: \frac{Y}{Y_{max}} = 1 - \exp\left[-35 X^{0.75} \exp \left( \frac{-0.28Fr_{gas}}{H}\right)\right] .. math:: X = \left(\frac{m_l}{m_g}\right) \sqrt{\frac{\rho_{1,g}}{\rho_l}} .. math:: {Fr_{\text{gas, densiometric}}} = \frac{v_{gas}}{\sqrt{gD}} \sqrt{\frac{\rho_{1,g}}{\rho_l - \rho_{1,g}}} = \frac{4m_g}{\rho_{1,g} \pi D^2 \sqrt{gD}} \sqrt{\frac{\rho_{1,g}}{\rho_l - \rho_{1,g}}} Parameters ---------- D : float Upstream internal pipe diameter, [m] Do : float Diameter of venturi tube at flow conditions, [m] P1 : float Static pressure of fluid upstream of venturi tube at the cross-section of the pressure tap, [Pa] P2 : float Static pressure of fluid downstream of venturi tube at the cross- section of the pressure tap, [Pa] ml : float Mass flow rate of liquid through the venturi tube, [kg/s] mg : float Mass flow rate of gas through the venturi tube, [kg/s] rhol : float Density of liquid at `P1`, [kg/m^3] rhog : float Density of gas at `P1`, [kg/m^3] H : float, optional A surface-tension effect coefficient used to adjust for different fluids, (1 for a hydrocarbon liquid, 1.35 for water, 0.79 for water in steam) [-] Returns ------- C : float Coefficient of discharge of the wet gas venturi tube flow meter (includes flow rate of gas ONLY), [-] Notes ----- The model was first published in [1]_, and became ISO 11583 later. Examples -------- >>> dP_Reader_Harris_Gallagher_wet_venturi_tube(D=.1, Do=.06, H=1, ... P1=6E6, P2=6E6-5E4, ml=5.31926/2, mg=5.31926, rhog=50.0, rhol=800.,) 16957.43843129572 References ---------- .. [1] Reader-harris, Michael, and Tuv Nel. An Improved Model for Venturi-Tube Over-Reading in Wet Gas, 2009. .. [2] ISO/TR 11583:2012 Measurement of Wet Gas Flow by Means of Pressure Differential Devices Inserted in Circular Cross-Section Conduits. ''' dP = P1 - P2 beta = Do/D X = ml/mg*sqrt(rhog/rhol) V = 4*mg/(rhog*pi*D*D) Frg = Froude_densimetric(V, L=D, rho1=rhol, rho2=rhog, heavy=False) Y_ratio = 1.0 - exp(-35.0*X**0.75*exp(-0.28*Frg/H)) Y_max = 0.61*exp(-11.0*rhog/rhol - 0.045*Frg/H) Y = Y_max*Y_ratio rhs = -0.0896 - 0.48*beta**9 dw = dP*(Y - rhs) return dw # Venturi tube loss coefficients as a function of Re as_cast_convergent_venturi_Res = [4E5, 6E4, 1E5, 1.5E5] as_cast_convergent_venturi_Cs = [0.957, 0.966, 0.976, 0.982] machined_convergent_venturi_Res = [5E4, 1E5, 2E5, 3E5, 7.5E5, # 5E5 to 1E6 1.5E6, # 1E6 to 2E6 5E6] # 2E6 to 1E8 machined_convergent_venturi_Cs = [0.970, 0.977, 0.992, 0.998, 0.995, 1.000, 1.010] rough_welded_convergent_venturi_Res = [4E4, 6E4, 1E5] rough_welded_convergent_venturi_Cs = [0.96, 0.97, 0.98] as_cast_convergent_entrance_machined_venturi_Res = [1E4, 6E4, 1E5, 1.5E5, 3.5E5, # 2E5 to 5E5 3.2E6] # 5E5 to 3.2E6 as_cast_convergent_entrance_machined_venturi_Cs = [0.963, 0.978, 0.98, 0.987, 0.992, 0.995] venturi_Res_Hollingshead = [1.0, 5.0, 10.0, 20.0, 30.0, 40.0, 60.0, 80.0, 100.0, 200.0, 300.0, 500.0, 1000.0, 2000.0, 3000.0, 5000.0, 10000.0, 30000.0, 50000.0, 75000.0, 100000.0, 1000000.0, 10000000.0, 50000000.0] venturi_logRes_Hollingshead = [0.0, 1.6094379124341003, 2.302585092994046, 2.995732273553991, 3.4011973816621555, 3.6888794541139363, 4.0943445622221, 4.382026634673881, 4.605170185988092, 5.298317366548036, 5.703782474656201, 6.214608098422191, 6.907755278982137, 7.600902459542082, 8.006367567650246, 8.517193191416238, 9.210340371976184, 10.308952660644293, 10.819778284410283, 11.225243392518447, 11.512925464970229, 13.815510557964274, 16.11809565095832, 17.72753356339242] venturi_smooth_Cs_Hollingshead = [0.163, 0.336, 0.432, 0.515, 0.586, 0.625, 0.679, 0.705, 0.727, 0.803, 0.841, 0.881, 0.921, 0.937, 0.944, 0.954, 0.961, 0.967, 0.967, 0.97, 0.971, 0.973, 0.974, 0.975] venturi_sharp_Cs_Hollingshead = [0.146, 0.3, 0.401, 0.498, 0.554, 0.596, 0.65, 0.688, 0.715, 0.801, 0.841, 0.884, 0.914, 0.94, 0.947, 0.944, 0.952, 0.959, 0.962, 0.963, 0.965, 0.967, 0.967, 0.967] CONE_METER_C = 0.82 '''Constant loss coefficient for flow cone meters''' ROUGH_WELDED_CONVERGENT_VENTURI_TUBE_C = 0.985 '''Constant loss coefficient for rough-welded convergent venturi tubes''' MACHINED_CONVERGENT_VENTURI_TUBE_C = 0.995 '''Constant loss coefficient for machined convergent venturi tubes''' AS_CAST_VENTURI_TUBE_C = 0.984 '''Constant loss coefficient for as-cast venturi tubes''' ISO_15377_CONICAL_ORIFICE_C = 0.734 '''Constant loss coefficient for conical orifice plates according to ISO 15377''' cone_Res_Hollingshead = [1.0, 5.0, 10.0, 20.0, 30.0, 40.0, 60.0, 80.0, 100.0, 150.0, 200.0, 300.0, 500.0, 1000.0, 2000.0, 3000.0, 4000.0, 5000.0, 7500.0, 10000.0, 20000.0, 30000.0, 100000.0, 1000000.0, 10000000.0, 50000000.0 ] cone_logRes_Hollingshead = [0.0, 1.6094379124341003, 2.302585092994046, 2.995732273553991, 3.4011973816621555, 3.6888794541139363, 4.0943445622221, 4.382026634673881, 4.605170185988092, 5.0106352940962555, 5.298317366548036, 5.703782474656201, 6.214608098422191, 6.907755278982137, 7.600902459542082, 8.006367567650246, 8.294049640102028, 8.517193191416238, 8.922658299524402, 9.210340371976184, 9.903487552536127, 10.308952660644293, 11.512925464970229, 13.815510557964274, 16.11809565095832, 17.72753356339242 ] cone_betas_Hollingshead = [0.6611, 0.6995, 0.8203] cone_beta_6611_Hollingshead_Cs = [0.066, 0.147, 0.207, 0.289, 0.349, 0.396, 0.462, 0.506, 0.537, 0.588, 0.622, 0.661, 0.7, 0.727, 0.75, 0.759, 0.763, 0.765, 0.767, 0.773, 0.778, 0.789, 0.804, 0.803, 0.805, 0.802 ] cone_beta_6995_Hollingshead_Cs = [0.067, 0.15, 0.21, 0.292, 0.35, 0.394, 0.458, 0.502, 0.533, 0.584, 0.615, 0.645, 0.682, 0.721, 0.742, 0.75, 0.755, 0.757, 0.763, 0.766, 0.774, 0.781, 0.792, 0.792, 0.79, 0.787 ] cone_beta_8203_Hollingshead_Cs = [0.057, 0.128, 0.182, 0.253, 0.303, 0.343, 0.4, 0.44, 0.472, 0.526, 0.557, 0.605, 0.644, 0.685, 0.705, 0.714, 0.721, 0.722, 0.724, 0.723, 0.725, 0.731, 0.73, 0.73, 0.741, 0.734 ] cone_Hollingshead_Cs = [cone_beta_6611_Hollingshead_Cs, cone_beta_6995_Hollingshead_Cs, cone_beta_8203_Hollingshead_Cs ] cone_Hollingshead_tck = implementation_optimize_tck([ [0.6611, 0.6611, 0.6611, 0.8203, 0.8203, 0.8203], [0.0, 0.0, 0.0, 0.0, 2.302585092994046, 2.995732273553991, 3.4011973816621555, 3.6888794541139363, 4.0943445622221, 4.382026634673881, 4.605170185988092, 5.0106352940962555, 5.298317366548036, 5.703782474656201, 6.214608098422191, 6.907755278982137, 7.600902459542082, 8.006367567650246, 8.294049640102028, 8.517193191416238, 8.922658299524402, 9.210340371976184, 9.903487552536127, 10.308952660644293, 11.512925464970229, 13.815510557964274, 17.72753356339242, 17.72753356339242, 17.72753356339242, 17.72753356339242 ], [0.06600000000000003, 0.09181180887944293, 0.1406341453010674, 0.27319769866300025, 0.34177839953532274, 0.4025880076725502, 0.4563149328810349, 0.5035445307357295, 0.5458473693359689, 0.583175639128474, 0.628052124545805, 0.6647198135005781, 0.7091524396786245, 0.7254729823419331, 0.7487816963926843, 0.7588145502817809, 0.7628692532631826, 0.7660482147214834, 0.7644188319583379, 0.7782644144006241, 0.7721508139116487, 0.7994728794028244, 0.8076742194714519, 0.7986221420822799, 0.8086240532850298, 0.802, 0.07016232064017663, 0.1059162635703894, 0.1489681838592814, 0.28830815748629207, 0.35405213706957395, 0.40339795504063664, 0.4544570323055189, 0.5034637712201067, 0.5448190156693709, 0.5840164245031125, 0.6211559598098063, 0.6218648844980823, 0.6621745760710729, 0.7282379546292953, 0.7340030734801267, 0.7396324865779599, 0.7489736798953754, 0.7480726412914717, 0.7671564751169978, 0.756853660688892, 0.7787029642272745, 0.7742381131312691, 0.7887584162443445, 0.7857610450218329, 0.7697076645551957, 0.7718300910596032, 0.05700000000000002, 0.07612544859943549, 0.12401733415778271, 0.24037452209595875, 0.29662463502593156, 0.34859536586855205, 0.39480085719322505, 0.43661601622480606, 0.48091259102454764, 0.5240691286186233, 0.5590609288020619, 0.6144556048716696, 0.6471713640567137, 0.6904158809061184, 0.7032590252050219, 0.712177974557301, 0.7221845303680273, 0.721505707129694, 0.7249822376264551, 0.7218890085289907, 0.7221848475768714, 0.7371751354515526, 0.7252385062304629, 0.7278943803933404, 0.7496546607029086, 0.7340000000000001 ], 2, 3 ]) wedge_Res_Hollingshead = [1.0, 5.0, 10.0, 20.0, 30.0, 40.0, 60.0, 80.0, 100.0, 200.0, 300.0, 400.0, 500.0, 5000.0, 1.00E+04, 1.00E+05, 1.00E+06, 5.00E+07] wedge_logRes_Hollingshead = [0.0, 1.6094379124341003, 2.302585092994046, 2.995732273553991, 3.4011973816621555, 3.6888794541139363, 4.0943445622221, 4.382026634673881, 4.605170185988092, 5.298317366548036, 5.703782474656201, 5.991464547107982, 6.214608098422191, 8.517193191416238, 9.210340371976184, 11.512925464970229, 13.815510557964274, 17.72753356339242 ] wedge_beta_5023_Hollingshead = [0.145, 0.318, 0.432, 0.551, 0.61, 0.641, 0.674, 0.69, 0.699, 0.716, 0.721, 0.725, 0.73, 0.729, 0.732, 0.732, 0.731, 0.733] wedge_beta_611_Hollingshead = [0.127, 0.28, 0.384, 0.503, 0.567, 0.606, 0.645, 0.663, 0.672, 0.688, 0.694, 0.7, 0.705, 0.7, 0.702, 0.695, 0.699, 0.705] wedge_betas_Hollingshead = [.5023, .611] wedge_Hollingshead_Cs = [wedge_beta_5023_Hollingshead, wedge_beta_611_Hollingshead] wedge_Hollingshead_tck = implementation_optimize_tck([ [0.5023, 0.5023, 0.611, 0.611], [0.0, 0.0, 0.0, 0.0, 2.302585092994046, 2.995732273553991, 3.4011973816621555, 3.6888794541139363, 4.0943445622221, 4.382026634673881, 4.605170185988092, 5.298317366548036, 5.703782474656201, 5.991464547107982, 6.214608098422191, 8.517193191416238, 9.210340371976184, 11.512925464970229, 17.72753356339242, 17.72753356339242, 17.72753356339242, 17.72753356339242 ], [0.14500000000000005, 0.18231832425722, 0.3339917130006919, 0.5379467710226973, 0.6077700659940896, 0.6459542943925077, 0.6729757007770231, 0.6896405007576225, 0.7054863114589583, 0.7155740600632635, 0.7205446407610863, 0.7239576816068966, 0.7483627568160166, 0.7232963355919931, 0.7366325320490953, 0.7264222143567053, 0.7339605394126009, 0.7330000000000001, 0.1270000000000001, 0.16939873865132285, 0.2828494933525669, 0.4889107009077842, 0.5623120043524101, 0.6133092379676948, 0.6437092394687915, 0.6629923366662017, 0.6782934366011034, 0.687302374134782, 0.6927470053128909, 0.6993992364234898, 0.7221204483546849, 0.6947577293284015, 0.7063701306810815, 0.6781614534359871, 0.7185326811948407, 0.7050000000000001 ], 1, 3 ]) beta_simple_meters = frozenset([ISO_5167_ORIFICE, ISO_15377_ECCENTRIC_ORIFICE, ISO_15377_CONICAL_ORIFICE, ISO_15377_QUARTER_CIRCLE_ORIFICE, MILLER_ORIFICE, MILLER_ECCENTRIC_ORIFICE, MILLER_SEGMENTAL_ORIFICE, MILLER_CONICAL_ORIFICE, MILLER_QUARTER_CIRCLE_ORIFICE, CONCENTRIC_ORIFICE, ECCENTRIC_ORIFICE, CONICAL_ORIFICE, SEGMENTAL_ORIFICE, QUARTER_CIRCLE_ORIFICE, UNSPECIFIED_METER, HOLLINGSHEAD_VENTURI_SHARP, HOLLINGSHEAD_VENTURI_SMOOTH, HOLLINGSHEAD_ORIFICE, LONG_RADIUS_NOZZLE, ISA_1932_NOZZLE, VENTURI_NOZZLE, AS_CAST_VENTURI_TUBE, MACHINED_CONVERGENT_VENTURI_TUBE, ROUGH_WELDED_CONVERGENT_VENTURI_TUBE]) all_meters = frozenset(list(beta_simple_meters) + [CONE_METER, WEDGE_METER, HOLLINGSHEAD_CONE, HOLLINGSHEAD_WEDGE]) '''Set of string inputs representing all of the different supported flow meters and their correlations. ''' _unsupported_meter_msg = "Supported meter types are %s" % all_meters def differential_pressure_meter_beta(D, D2, meter_type): r'''Calculates the beta ratio of a differential pressure meter. Parameters ---------- D : float Upstream internal pipe diameter, [m] D2 : float Diameter of orifice, or venturi meter orifice, or flow tube orifice, or cone meter end diameter, or wedge meter fluid flow height, [m] meter_type : str One of {'conical orifice', 'orifice', 'machined convergent venturi tube', 'ISO 5167 orifice', 'Miller quarter circle orifice', 'Hollingshead venturi sharp', 'segmental orifice', 'Miller conical orifice', 'Miller segmental orifice', 'quarter circle orifice', 'Hollingshead v cone', 'wedge meter', 'eccentric orifice', 'venuri nozzle', 'rough welded convergent venturi tube', 'ISA 1932 nozzle', 'ISO 15377 quarter-circle orifice', 'Hollingshead venturi smooth', 'Hollingshead orifice', 'cone meter', 'Hollingshead wedge', 'Miller orifice', 'long radius nozzle', 'ISO 15377 conical orifice', 'unspecified meter', 'as cast convergent venturi tube', 'Miller eccentric orifice', 'ISO 15377 eccentric orifice'}, [-] Returns ------- beta : float Differential pressure meter diameter ratio, [-] Notes ----- Examples -------- >>> differential_pressure_meter_beta(D=0.2575, D2=0.184, ... meter_type='cone meter') 0.6995709873957624 ''' if meter_type in beta_simple_meters: beta = D2/D elif meter_type == CONE_METER or meter_type == HOLLINGSHEAD_CONE: beta = diameter_ratio_cone_meter(D=D, Dc=D2) elif meter_type == WEDGE_METER or meter_type == HOLLINGSHEAD_WEDGE: beta = diameter_ratio_wedge_meter(D=D, H=D2) else: raise ValueError(_unsupported_meter_msg) return beta _meter_type_to_corr_default = { CONCENTRIC_ORIFICE: ISO_5167_ORIFICE, ECCENTRIC_ORIFICE: ISO_15377_ECCENTRIC_ORIFICE, CONICAL_ORIFICE: ISO_15377_CONICAL_ORIFICE, QUARTER_CIRCLE_ORIFICE: ISO_15377_QUARTER_CIRCLE_ORIFICE, SEGMENTAL_ORIFICE: MILLER_SEGMENTAL_ORIFICE, } def differential_pressure_meter_C_epsilon(D, D2, m, P1, P2, rho, mu, k, meter_type, taps=None, tap_position=None, C_specified=None, epsilon_specified=None): r'''Calculates the discharge coefficient and expansibility of a flow meter given the mass flow rate, the upstream pressure, the second pressure value, and the orifice diameter for a differential pressure flow meter based on the geometry of the meter, measured pressures of the meter, and the density, viscosity, and isentropic exponent of the fluid. Parameters ---------- D : float Upstream internal pipe diameter, [m] D2 : float Diameter of orifice, or venturi meter orifice, or flow tube orifice, or cone meter end diameter, or wedge meter fluid flow height, [m] m : float Mass flow rate of fluid through the flow meter, [kg/s] P1 : float Static pressure of fluid upstream of differential pressure meter at the cross-section of the pressure tap, [Pa] P2 : float Static pressure of fluid downstream of differential pressure meter or at the prescribed location (varies by type of meter) [Pa] rho : float Density of fluid at `P1`, [kg/m^3] mu : float Viscosity of fluid at `P1`, [Pa*s] k : float Isentropic exponent of fluid, [-] meter_type : str One of {'conical orifice', 'orifice', 'machined convergent venturi tube', 'ISO 5167 orifice', 'Miller quarter circle orifice', 'Hollingshead venturi sharp', 'segmental orifice', 'Miller conical orifice', 'Miller segmental orifice', 'quarter circle orifice', 'Hollingshead v cone', 'wedge meter', 'eccentric orifice', 'venuri nozzle', 'rough welded convergent venturi tube', 'ISA 1932 nozzle', 'ISO 15377 quarter-circle orifice', 'Hollingshead venturi smooth', 'Hollingshead orifice', 'cone meter', 'Hollingshead wedge', 'Miller orifice', 'long radius nozzle', 'ISO 15377 conical orifice', 'unspecified meter', 'as cast convergent venturi tube', 'Miller eccentric orifice', 'ISO 15377 eccentric orifice'}, [-] taps : str, optional The orientation of the taps; one of 'corner', 'flange', 'D', or 'D/2'; applies for orifice meters only, [-] tap_position : str, optional The rotation of the taps, used **only for the eccentric orifice case** where the pressure profile is are not symmetric; '180 degree' for the normal case where the taps are opposite the orifice bore, and '90 degree' for the case where, normally for operational reasons, the taps are near the bore [-] C_specified : float, optional If specified, the correlation for the meter type is not used - this value is returned for `C` epsilon_specified : float, optional If specified, the correlation for the fluid expansibility is not used - this value is returned for :math:`\epsilon`, [-] Returns ------- C : float Coefficient of discharge of the specified flow meter type at the specified conditions, [-] expansibility : float Expansibility factor (1 for incompressible fluids, less than 1 for real fluids), [-] Notes ----- This function should be called by an outer loop when solving for a variable. The latest ISO formulations for `expansibility` are used with the Miller correlations. Examples -------- >>> differential_pressure_meter_C_epsilon(D=0.07366, D2=0.05, P1=200000.0, ... P2=183000.0, rho=999.1, mu=0.0011, k=1.33, m=7.702338035732168, ... meter_type='ISO 5167 orifice', taps='D') (0.6151252900244296, 0.9711026966676307) ''' # # Translate default meter type to implementation specific correlation if meter_type == CONCENTRIC_ORIFICE: meter_type = ISO_5167_ORIFICE elif meter_type == ECCENTRIC_ORIFICE: meter_type = ISO_15377_ECCENTRIC_ORIFICE elif meter_type == CONICAL_ORIFICE: meter_type = ISO_15377_CONICAL_ORIFICE elif meter_type == QUARTER_CIRCLE_ORIFICE: meter_type = ISO_15377_QUARTER_CIRCLE_ORIFICE elif meter_type == SEGMENTAL_ORIFICE: meter_type = MILLER_SEGMENTAL_ORIFICE if meter_type == ISO_5167_ORIFICE: C = C_Reader_Harris_Gallagher(D, D2, rho, mu, m, taps) epsilon = orifice_expansibility(D, D2, P1, P2, k) elif meter_type == ISO_15377_ECCENTRIC_ORIFICE: C = C_eccentric_orifice_ISO_15377_1998(D, D2) epsilon = orifice_expansibility(D, D2, P1, P2, k) elif meter_type == ISO_15377_QUARTER_CIRCLE_ORIFICE: C = C_quarter_circle_orifice_ISO_15377_1998(D, D2) epsilon = orifice_expansibility(D, D2, P1, P2, k) elif meter_type == ISO_15377_CONICAL_ORIFICE: C = ISO_15377_CONICAL_ORIFICE_C # Average of concentric square edge orifice and ISA 1932 nozzles epsilon = 0.5*(orifice_expansibility(D, D2, P1, P2, k) + nozzle_expansibility(D=D, Do=D2, P1=P1, P2=P2, k=k)) elif meter_type in (MILLER_ORIFICE, MILLER_ECCENTRIC_ORIFICE, MILLER_SEGMENTAL_ORIFICE, MILLER_QUARTER_CIRCLE_ORIFICE): C = C_Miller_1996(D, D2, rho, mu, m, subtype=meter_type, taps=taps, tap_position=tap_position) epsilon = orifice_expansibility(D, D2, P1, P2, k) elif meter_type == MILLER_CONICAL_ORIFICE: C = C_Miller_1996(D, D2, rho, mu, m, subtype=meter_type, taps=taps, tap_position=tap_position) epsilon = 0.5*(orifice_expansibility(D, D2, P1, P2, k) + nozzle_expansibility(D=D, Do=D2, P1=P1, P2=P2, k=k)) elif meter_type == LONG_RADIUS_NOZZLE: epsilon = nozzle_expansibility(D=D, Do=D2, P1=P1, P2=P2, k=k) C = C_long_radius_nozzle(D=D, Do=D2, rho=rho, mu=mu, m=m) elif meter_type == ISA_1932_NOZZLE: epsilon = nozzle_expansibility(D=D, Do=D2, P1=P1, P2=P2, k=k) C = C_ISA_1932_nozzle(D=D, Do=D2, rho=rho, mu=mu, m=m) elif meter_type == VENTURI_NOZZLE: epsilon = nozzle_expansibility(D=D, Do=D2, P1=P1, P2=P2, k=k) C = C_venturi_nozzle(D=D, Do=D2) elif meter_type == AS_CAST_VENTURI_TUBE: epsilon = nozzle_expansibility(D=D, Do=D2, P1=P1, P2=P2, k=k) C = AS_CAST_VENTURI_TUBE_C elif meter_type == MACHINED_CONVERGENT_VENTURI_TUBE: epsilon = nozzle_expansibility(D=D, Do=D2, P1=P1, P2=P2, k=k) C = MACHINED_CONVERGENT_VENTURI_TUBE_C elif meter_type == ROUGH_WELDED_CONVERGENT_VENTURI_TUBE: epsilon = nozzle_expansibility(D=D, Do=D2, P1=P1, P2=P2, k=k) C = ROUGH_WELDED_CONVERGENT_VENTURI_TUBE_C elif meter_type == CONE_METER: epsilon = cone_meter_expansibility_Stewart(D=D, Dc=D2, P1=P1, P2=P2, k=k) C = CONE_METER_C elif meter_type == WEDGE_METER: beta = diameter_ratio_wedge_meter(D=D, H=D2) epsilon = nozzle_expansibility(D=D, Do=D2, P1=P1, P2=P1, k=k, beta=beta) C = C_wedge_meter_ISO_5167_6_2017(D=D, H=D2) elif meter_type == HOLLINGSHEAD_ORIFICE: v = m/((0.25*pi*D*D)*rho) Re_D = rho*v*D/mu C = float(bisplev(D2/D, log(Re_D), orifice_std_Hollingshead_tck)) epsilon = orifice_expansibility(D, D2, P1, P2, k) elif meter_type == HOLLINGSHEAD_VENTURI_SMOOTH: v = m/((0.25*pi*D*D)*rho) Re_D = rho*v*D/mu C = interp(log(Re_D), venturi_logRes_Hollingshead, venturi_smooth_Cs_Hollingshead, extrapolate=True) epsilon = nozzle_expansibility(D=D, Do=D2, P1=P1, P2=P2, k=k) elif meter_type == HOLLINGSHEAD_VENTURI_SHARP: v = m/((0.25*pi*D*D)*rho) Re_D = rho*v*D/mu C = interp(log(Re_D), venturi_logRes_Hollingshead, venturi_sharp_Cs_Hollingshead, extrapolate=True) epsilon = nozzle_expansibility(D=D, Do=D2, P1=P1, P2=P2, k=k) elif meter_type == HOLLINGSHEAD_CONE: v = m/((0.25*pi*D*D)*rho) Re_D = rho*v*D/mu beta = diameter_ratio_cone_meter(D, D2) C = float(bisplev(beta, log(Re_D), cone_Hollingshead_tck)) epsilon = cone_meter_expansibility_Stewart(D=D, Dc=D2, P1=P1, P2=P2, k=k) elif meter_type == HOLLINGSHEAD_WEDGE: v = m/((0.25*pi*D*D)*rho) Re_D = rho*v*D/mu beta = diameter_ratio_wedge_meter(D=D, H=D2) C = float(bisplev(beta, log(Re_D), wedge_Hollingshead_tck)) epsilon = nozzle_expansibility(D=D, Do=D2, P1=P1, P2=P1, k=k, beta=beta) elif meter_type == UNSPECIFIED_METER: epsilon = orifice_expansibility(D, D2, P1, P2, k) # Default to orifice type expansibility if C_specified is None: raise ValueError("For unspecified meter type, C_specified is required") else: raise ValueError(_unsupported_meter_msg) if C_specified is not None: C = C_specified if epsilon_specified is not None: epsilon = epsilon_specified return C, epsilon def err_dp_meter_solver_m(m_D, D, D2, P1, P2, rho, mu, k, meter_type, taps, tap_position, C_specified, epsilon_specified): m = m_D*D C, epsilon = differential_pressure_meter_C_epsilon(D, D2, m, P1, P2, rho, mu, k, meter_type, taps=taps, tap_position=tap_position, C_specified=C_specified, epsilon_specified=epsilon_specified) m_calc = flow_meter_discharge(D=D, Do=D2, P1=P1, P2=P2, rho=rho, C=C, expansibility=epsilon) err = m - m_calc return err def err_dp_meter_solver_P2(P2, D, D2, m, P1, rho, mu, k, meter_type, taps, tap_position, C_specified, epsilon_specified): C, epsilon = differential_pressure_meter_C_epsilon(D, D2, m, P1, P2, rho, mu, k, meter_type, taps=taps, tap_position=tap_position, C_specified=C_specified, epsilon_specified=epsilon_specified) m_calc = flow_meter_discharge(D=D, Do=D2, P1=P1, P2=P2, rho=rho, C=C, expansibility=epsilon) return m - m_calc def err_dp_meter_solver_D2(D2, D, m, P1, P2, rho, mu, k, meter_type, taps, tap_position, C_specified, epsilon_specified): C, epsilon = differential_pressure_meter_C_epsilon(D, D2, m, P1, P2, rho, mu, k, meter_type, taps=taps, tap_position=tap_position, C_specified=C_specified, epsilon_specified=epsilon_specified) m_calc = flow_meter_discharge(D=D, Do=D2, P1=P1, P2=P2, rho=rho, C=C, expansibility=epsilon) return m - m_calc def err_dp_meter_solver_P1(P1, D, D2, m, P2, rho, mu, k, meter_type, taps, tap_position, C_specified, epsilon_specified): C, epsilon = differential_pressure_meter_C_epsilon(D, D2, m, P1, P2, rho, mu, k, meter_type, taps=taps, tap_position=tap_position, C_specified=C_specified, epsilon_specified=epsilon_specified) m_calc = flow_meter_discharge(D=D, Do=D2, P1=P1, P2=P2, rho=rho, C=C, expansibility=epsilon) return m - m_calc def differential_pressure_meter_solver(D, rho, mu, k=None, D2=None, P1=None, P2=None, m=None, meter_type=ISO_5167_ORIFICE, taps=None, tap_position=None, C_specified=None, epsilon_specified=None): r'''Calculates either the mass flow rate, the upstream pressure, the second pressure value, or the orifice diameter for a differential pressure flow meter based on the geometry of the meter, measured pressures of the meter, and the density, viscosity, and isentropic exponent of the fluid. This solves an equation iteratively to obtain the correct flow rate. Parameters ---------- D : float Upstream internal pipe diameter, [m] rho : float Density of fluid at `P1`, [kg/m^3] mu : float Viscosity of fluid at `P1`, [Pa*s] k : float, optional Isentropic exponent of fluid; required unless `epsilon_specified` is specified , [-] D2 : float, optional Diameter of orifice, or venturi meter orifice, or flow tube orifice, or cone meter end diameter, or wedge meter fluid flow height, [m] P1 : float, optional Static pressure of fluid upstream of differential pressure meter at the cross-section of the pressure tap, [Pa] P2 : float, optional Static pressure of fluid downstream of differential pressure meter or at the prescribed location (varies by type of meter) [Pa] m : float, optional Mass flow rate of fluid through the flow meter, [kg/s] meter_type : str One of {'conical orifice', 'orifice', 'machined convergent venturi tube', 'ISO 5167 orifice', 'Miller quarter circle orifice', 'Hollingshead venturi sharp', 'segmental orifice', 'Miller conical orifice', 'Miller segmental orifice', 'quarter circle orifice', 'Hollingshead v cone', 'wedge meter', 'eccentric orifice', 'venuri nozzle', 'rough welded convergent venturi tube', 'ISA 1932 nozzle', 'ISO 15377 quarter-circle orifice', 'Hollingshead venturi smooth', 'Hollingshead orifice', 'cone meter', 'Hollingshead wedge', 'Miller orifice', 'long radius nozzle', 'ISO 15377 conical orifice', 'unspecified meter', 'as cast convergent venturi tube', 'Miller eccentric orifice', 'ISO 15377 eccentric orifice'}, [-] taps : str, optional The orientation of the taps; one of 'corner', 'flange', 'D', or 'D/2'; applies for orifice meters only, [-] tap_position : str, optional The rotation of the taps, used **only for the eccentric orifice case** where the pressure profile is are not symmetric; '180 degree' for the normal case where the taps are opposite the orifice bore, and '90 degree' for the case where, normally for operational reasons, the taps are near the bore [-] C_specified : float, optional If specified, the correlation for the meter type is not used - this value is used for `C` epsilon_specified : float, optional If specified, the correlation for the fluid expansibility is not used - this value is used for :math:`\epsilon`. Many publications recommend this be set to 1 for incompressible fluids [-] Returns ------- ans : float One of `m`, the mass flow rate of the fluid; `P1`, the pressure upstream of the flow meter; `P2`, the second pressure tap's value; and `D2`, the diameter of the measuring device; units of respectively, kg/s, Pa, Pa, or m Notes ----- See the appropriate functions for the documentation for the formulas and references used in each method. The solvers make some assumptions about the range of values answers may be in. Note that the solver for the upstream pressure uses the provided values of density, viscosity and isentropic exponent; whereas these values all depend on pressure (albeit to a small extent). An outer loop should be added with pressure-dependent values calculated in it for maximum accuracy. It would be possible to solve for the upstream pipe diameter, but there is no use for that functionality. If a meter has already been calibrated to have a known `C`, this may be provided and it will be used in place of calculating one. Examples -------- >>> differential_pressure_meter_solver(D=0.07366, D2=0.05, P1=200000.0, ... P2=183000.0, rho=999.1, mu=0.0011, k=1.33, ... meter_type='ISO 5167 orifice', taps='D') 7.702338035732167 >>> differential_pressure_meter_solver(D=0.07366, m=7.702338, P1=200000.0, ... P2=183000.0, rho=999.1, mu=0.0011, k=1.33, ... meter_type='ISO 5167 orifice', taps='D') 0.04999999990831885 ''' if k is None and epsilon_specified is not None: k = 1.4 if m is None and D is not None and D2 is not None and P1 is not None and P2 is not None: # Initialize via analytical formulas C_guess = 0.7 D4 = D*D D4 *= D4 D24 = D2*D2 D24 *= D24 m_guess = root_two*pi*C_guess*D2*D2*sqrt(D4*rho*(P1 - P2)/(D4 - D24))*0.25 m_D_guess = m_guess/D # Diameter to mass flow ratio # m_D_guess = 40 # if rho < 100.0: # m_D_guess *= 1e-2 return secant(err_dp_meter_solver_m, m_D_guess, args=(D, D2, P1, P2, rho, mu, k, meter_type, taps, tap_position, C_specified, epsilon_specified), low=1e-40)*D elif D2 is None and D is not None and m is not None and P1 is not None and P2 is not None: args = (D, m, P1, P2, rho, mu, k, meter_type, taps, tap_position, C_specified, epsilon_specified) try: return brenth(err_dp_meter_solver_D2, D*(1-1E-9), D*5E-3, args=args) except: try: return secant(err_dp_meter_solver_D2, D*.3, args=args, high=D, low=D*1e-10) except: return secant(err_dp_meter_solver_D2, D*.75, args=args, high=D, low=D*1e-10) elif P2 is None and D is not None and D2 is not None and m is not None and P1 is not None: args = (D, D2, m, P1, rho, mu, k, meter_type, taps, tap_position, C_specified, epsilon_specified) try: return brenth(err_dp_meter_solver_P2, P1*(1-1E-9), P1*0.5, args=args) except: return secant(err_dp_meter_solver_P2, P1*0.5, low=P1*1e-10, args=args, high=P1, bisection=True) elif P1 is None and D is not None and D2 is not None and m is not None and P2 is not None: args = (D, D2, m, P2, rho, mu, k, meter_type, taps, tap_position, C_specified, epsilon_specified) try: return brenth(err_dp_meter_solver_P1, P2*(1+1E-9), P2*1.4, args=args) except: return secant(err_dp_meter_solver_P1, P2*1.5, args=args, low=P2, bisection=True) else: raise ValueError('Solver is capable of solving for one of P1, P2, D2, or m only.') # Set of orifice types that get their dP calculated with `dP_orifice`. _dP_orifice_set = set([ISO_5167_ORIFICE, ISO_15377_ECCENTRIC_ORIFICE, ISO_15377_CONICAL_ORIFICE, ISO_15377_QUARTER_CIRCLE_ORIFICE, MILLER_ORIFICE, MILLER_ECCENTRIC_ORIFICE, MILLER_SEGMENTAL_ORIFICE, MILLER_CONICAL_ORIFICE, MILLER_QUARTER_CIRCLE_ORIFICE, HOLLINGSHEAD_ORIFICE, CONCENTRIC_ORIFICE, ECCENTRIC_ORIFICE, CONICAL_ORIFICE, SEGMENTAL_ORIFICE, QUARTER_CIRCLE_ORIFICE]) _missing_C_msg = "Parameter C is required for this orifice type" def differential_pressure_meter_dP(D, D2, P1, P2, C=None, meter_type=ISO_5167_ORIFICE): r'''Calculates the non-recoverable pressure drop of a differential pressure flow meter based on the geometry of the meter, measured pressures of the meter, and for most models the meter discharge coefficient. Parameters ---------- D : float Upstream internal pipe diameter, [m] D2 : float Diameter of orifice, or venturi meter orifice, or flow tube orifice, or cone meter end diameter, or wedge meter fluid flow height, [m] P1 : float Static pressure of fluid upstream of differential pressure meter at the cross-section of the pressure tap, [Pa] P2 : float Static pressure of fluid downstream of differential pressure meter or at the prescribed location (varies by type of meter) [Pa] C : float, optional Coefficient of discharge (used only in orifice plates, and venturi nozzles), [-] meter_type : str One of {'conical orifice', 'orifice', 'machined convergent venturi tube', 'ISO 5167 orifice', 'Miller quarter circle orifice', 'Hollingshead venturi sharp', 'segmental orifice', 'Miller conical orifice', 'Miller segmental orifice', 'quarter circle orifice', 'Hollingshead v cone', 'wedge meter', 'eccentric orifice', 'venuri nozzle', 'rough welded convergent venturi tube', 'ISA 1932 nozzle', 'ISO 15377 quarter-circle orifice', 'Hollingshead venturi smooth', 'Hollingshead orifice', 'cone meter', 'Hollingshead wedge', 'Miller orifice', 'long radius nozzle', 'ISO 15377 conical orifice', 'unspecified meter', 'as cast convergent venturi tube', 'Miller eccentric orifice', 'ISO 15377 eccentric orifice'}, [-] Returns ------- dP : float Non-recoverable pressure drop of the differential pressure flow meter, [Pa] Notes ----- See the appropriate functions for the documentation for the formulas and references used in each method. Wedge meters, and venturi nozzles do not have standard formulas available for pressure drop computation. Examples -------- >>> differential_pressure_meter_dP(D=0.07366, D2=0.05, P1=200000.0, ... P2=183000.0, meter_type='as cast convergent venturi tube') 1788.5717754177406 ''' if meter_type in _dP_orifice_set: if C is None: raise ValueError(_missing_C_msg) dP = dP_orifice(D=D, Do=D2, P1=P1, P2=P2, C=C) elif meter_type == LONG_RADIUS_NOZZLE: if C is None: raise ValueError(_missing_C_msg) dP = dP_orifice(D=D, Do=D2, P1=P1, P2=P2, C=C) elif meter_type == ISA_1932_NOZZLE: if C is None: raise ValueError(_missing_C_msg) dP = dP_orifice(D=D, Do=D2, P1=P1, P2=P2, C=C) elif meter_type == VENTURI_NOZZLE: raise NotImplementedError("Venturi meter does not have an implemented pressure drop correlation") elif (meter_type == AS_CAST_VENTURI_TUBE or meter_type == MACHINED_CONVERGENT_VENTURI_TUBE or meter_type == ROUGH_WELDED_CONVERGENT_VENTURI_TUBE or meter_type == HOLLINGSHEAD_VENTURI_SMOOTH or meter_type == HOLLINGSHEAD_VENTURI_SHARP): dP = dP_venturi_tube(D=D, Do=D2, P1=P1, P2=P2) elif meter_type == CONE_METER or meter_type == HOLLINGSHEAD_CONE: dP = dP_cone_meter(D=D, Dc=D2, P1=P1, P2=P2) elif meter_type == WEDGE_METER or meter_type == HOLLINGSHEAD_WEDGE: dP = dP_wedge_meter(D=D, H=D2, P1=P1, P2=P2) else: raise ValueError(_unsupported_meter_msg) return dP fluids-1.0.22/fluids/open_flow.pyi0000644000175000017500000000174314302004506016410 0ustar nileshnilesh# DO NOT EDIT - AUTOMATICALLY GENERATED BY tests/make_test_stubs.py! from __future__ import annotations from typing import List from typing import Union def C_Chezy_to_n_Manning(C: float, Rh: float) -> float: ... def Q_weir_V_Shen(h1: float, angle: int = ...) -> float: ... def Q_weir_rectangular_Kindsvater_Carter(h1: float, h2: float, b: float) -> float: ... def Q_weir_rectangular_SIA(h1: float, h2: float, b: float, b1: float) -> float: ... def Q_weir_rectangular_full_Ackers(h1: float, h2: float, b: float) -> float: ... def Q_weir_rectangular_full_Kindsvater_Carter(h1: float, h2: float, b: float) -> float: ... def Q_weir_rectangular_full_Rehbock(h1: float, h2: float, b: float) -> float: ... def Q_weir_rectangular_full_SIA(h1: float, h2: float, b: float) -> float: ... def V_Chezy(Rh: float, S: float, C: float) -> float: ... def V_Manning(Rh: float, S: float, n: float) -> float: ... def n_Manning_to_C_Chezy(n: float, Rh: float) -> float: ... __all__: List[str]fluids-1.0.22/fluids/__init__.py0000644000175000017500000001324614302004506016007 0ustar nileshnilesh# -*- coding: utf-8 -*- """Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2016, 2017, 2018, 2019, 2020, 2021 Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. """ import os global vectorized, numba, units, numba_vectorized from . import numerics from . import constants if not numerics.is_micropython: from . import atmosphere from . import compressible from . import core from . import friction from . import filters from . import fittings from . import flow_meter from . import geometry from . import mixing from . import open_flow from . import packed_bed from . import piping from . import pump from . import safety_valve from . import packed_tower from . import two_phase_voidage from . import two_phase from . import drag from . import saltation from . import separator from . import particle_size_distribution from . import jet_pump from . import control_valve from .atmosphere import * from .compressible import * from .control_valve import * from .core import * from .filters import * from .fittings import * from .flow_meter import * from .friction import * from .geometry import * from .mixing import * from .open_flow import * from .particle_size_distribution import * from .packed_bed import * from .piping import * from .pump import * from .safety_valve import * from .packed_tower import * from .two_phase import * from .two_phase_voidage import * from .drag import * from .saltation import * from .separator import * from .jet_pump import * __all__ = ['atmosphere', 'compressible', 'control_valve', 'core', 'filters', 'fittings', 'friction', 'geometry', 'mixing', 'open_flow', 'packed_bed', 'piping', 'pump', 'safety_valve', 'packed_tower', 'two_phase', 'two_phase_voidage', 'drag', 'saltation', 'separator', 'flow_meter', 'particle_size_distribution', 'jet_pump'] __all__.extend(atmosphere.__all__) __all__.extend(compressible.__all__) __all__.extend(control_valve.__all__) __all__.extend(core.__all__) __all__.extend(filters.__all__) __all__.extend(fittings.__all__) __all__.extend(friction.__all__) __all__.extend(geometry.__all__) __all__.extend(mixing.__all__) __all__.extend(open_flow.__all__) __all__.extend(flow_meter.__all__) __all__.extend(packed_bed.__all__) __all__.extend(piping.__all__) __all__.extend(pump.__all__) __all__.extend(safety_valve.__all__) __all__.extend(packed_tower.__all__) __all__.extend(two_phase.__all__) __all__.extend(two_phase_voidage.__all__) __all__.extend(drag.__all__) __all__.extend(saltation.__all__) __all__.extend(separator.__all__) __all__.extend(particle_size_distribution.__all__) __all__.extend(jet_pump.__all__) submodules = [atmosphere, compressible, core, friction, filters, fittings, flow_meter, geometry, mixing, open_flow, packed_bed, piping, pump, safety_valve, packed_tower, two_phase_voidage, two_phase, drag, saltation, separator, particle_size_distribution, jet_pump, control_valve] if numerics.PY37: def __getattr__(name): global vectorized, numba, units, numba_vectorized if name == 'vectorized': import fluids.vectorized as vectorized return vectorized if name == 'numba': import fluids.numba as numba return numba if name == 'units': import fluids.units as units return units if name == 'numba_vectorized': import fluids.numba_vectorized as numba_vectorized return numba_vectorized raise AttributeError("module %s has no attribute %s" %(__name__, name)) else: from . import vectorized def all_submodules(): import fluids.optional import fluids.optional.irradiance import fluids.optional.spa import fluids.nrlmsise00.nrlmsise_00_data import fluids.nrlmsise00.nrlmsise_00 import fluids.nrlmsise00.nrlmsise_00_header return submodules + [fluids.optional, fluids.optional.irradiance, fluids.optional.spa, fluids.nrlmsise00.nrlmsise_00_data, fluids.nrlmsise00.nrlmsise_00, fluids.nrlmsise00.nrlmsise_00_header] def load_types(): from fluids.typing_utils import type_module for m in submodules: type_module(m) __version__ = '1.0.22' try: fluids_dir = os.path.dirname(__file__) fluids_data_dir = os.path.join(fluids_dir, 'data') except: pass fluids-1.0.22/fluids/numerics/0000755000175000017500000000000014302004506015515 5ustar nileshnileshfluids-1.0.22/fluids/numerics/special.py0000644000175000017500000000742614302004506017520 0ustar nileshnilesh# -*- coding: utf-8 -*- """Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2021 Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicensse, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. """ from __future__ import division from math import (sin, exp, pi, fabs, copysign, log, isinf, acos, cos, sin, atan2, asinh, sqrt, gamma) from cmath import sqrt as csqrt, log as clog try: from math import log1p except: log1p = log __all__ = ['py_hypot', 'py_cacos', 'py_catan', 'py_catanh', 'trunc_exp', 'trunc_log'] DBL_MAX = 1.7976931348623157e+308 CM_LARGE_DOUBLE = DBL_MAX/4. CM_SQRT_LARGE_DOUBLE = sqrt(CM_LARGE_DOUBLE) DBL_MIN = 2.2250738585072013830902327173324040642192159804623318306e-308 CM_SQRT_DBL_MIN = sqrt(DBL_MIN) def py_hypot(x, y): x = fabs(x) y = fabs(y) if x < y: x, y = y, x if x == 0.0: return 0.0 yx = y/x return x*sqrt(1.0 + yx*yx) def py_cacos(z): # After CPython https://github.com/python/cpython/blob/e9e7d284c434768333fdfb53a3663eae74cb995a/Modules/cmathmodule.c#L237 # Without the special cases # Implemented only because micropython is missing this function s1 = csqrt(1. - z.real - z.imag*1.0j) s2 = csqrt(1. + z.real + z.imag*1.0j) r = 2.*atan2(s1.real, s2.real) + asinh(s2.real*s1.imag - s2.imag*s1.real)*1.0j return r def py_catan(x): # Implemented only because micropython is missing this function return 0.5j*(clog(1.0 - 1.0j*x) - clog(1.0 + 1.0j*x)) def py_catanh(z): # Does not contain special values if z.real < 0.0: # works res = py_catanh(-z.real + z.imag*1j) return -res.real +res.imag*1j ay = fabs(z.imag) if (z.real > CM_SQRT_LARGE_DOUBLE or ay > CM_SQRT_LARGE_DOUBLE): h = py_hypot(z.real/2., z.imag/2.) real = z.real/4./h/h imag = -copysign(pi/2., -z.imag) elif (z.real == 1. and ay < CM_SQRT_DBL_MIN): if (ay == 0.): real = inf imag = z.imag else: real = -log(sqrt(ay)/sqrt(py_hypot(ay, 2.))) imag = copysign(atan2(2., -ay)/2, z.imag) else: real = log1p(4.*z.real/((1-z.real)*(1-z.real) + ay*ay))/4. imag = -atan2(-2.*z.imag, (1-z.real)*(1+z.real) - ay*ay)/2. return real + imag*1.0j def trunc_exp(x, trunc=1.7976931348622732e+308): # maximum value occurs at 709.782712893384 exactly try: return exp(x) except: # Really exp(709.7) 1.6549840276802644e+308 return trunc def trunc_log(x, trunc=-744.4400719213812): # 5e-324 is the smallest floating point number above zero and its log is -744.4400719213812 if x == 0.0: return trunc return log(x) # try: # return log(x) # except ValueError as e: # if x == 0: # return trunc # else: # raise e fluids-1.0.22/fluids/numerics/__init__.py0000644000175000017500000066445614302004506017653 0ustar nileshnilesh# -*- coding: utf-8 -*- # type: ignore """Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2018, 2019, 2020 Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicensse, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. """ from __future__ import division from math import (sin, exp, pi, fabs, copysign, log, isinf, acos, cos, sin, atan2, asinh, sqrt, gamma) from cmath import sqrt as csqrt, log as clog import sys from fluids.numerics.arrays import (solve as py_solve, inv, dot, norm2, inner_product, eye, array_as_tridiagonals, tridiagonals_as_array, solve_tridiagonal, subset_matrix) from fluids.numerics.special import (py_hypot, py_cacos, py_catan, py_catanh, trunc_exp, trunc_log) __all__ = ['isclose', 'horner', 'horner_and_der', 'horner_and_der2', 'horner_and_der3', 'quadratic_from_f_ders', 'chebval', 'interp', 'linspace', 'logspace', 'cumsum', 'diff', 'basic_damping', 'is_poly_negative', 'is_poly_positive', 'implementation_optimize_tck', 'tck_interp2d_linear', 'bisect', 'ridder', 'brenth', 'newton', 'secant', 'halley', 'one_sided_secant', 'splev', 'bisplev', 'derivative', 'jacobian', 'hessian', 'normalize', 'oscillation_checker', 'IS_PYPY', 'roots_cubic', 'roots_quartic', 'newton_system', 'broyden2', 'basic_damping', 'solve_2_direct', 'solve_3_direct', 'solve_4_direct', 'sincos', 'horner_and_der4', 'lambertw', 'ellipe', 'gamma', 'gammaincc', 'erf', 'i1', 'i0', 'k1', 'k0', 'iv', 'mean', 'polylog2', 'roots_quadratic', 'numpy', 'nquad', 'catanh', 'factorial', 'polyint_over_x', 'horner_log', 'polyint', 'zeros', 'full', 'chebder', 'chebint', 'exp_cheb', 'polyder', 'make_damp_initial', 'quadratic_from_points', 'OscillationError', 'UnconvergedError', 'caching_decorator', 'NoSolutionError', 'SamePointError', 'NotBoundedError', 'damping_maintain_sign', 'oscillation_checking_wrapper', 'trunc_exp', 'trunc_log', 'fit_integral_linear_extrapolation', 'fit_integral_over_T_linear_extrapolation', 'poly_fit_integral_value', 'poly_fit_integral_over_T_value', 'evaluate_linear_fits', 'evaluate_linear_fits_d', 'evaluate_linear_fits_d2', 'best_bounding_bounds', 'newton_minimize', 'array_as_tridiagonals', 'tridiagonals_as_array', 'solve_tridiagonal', 'subset_matrix', 'assert_close', 'assert_close1d', 'assert_close2d', 'assert_close3d', 'assert_close4d', 'translate_bound_func', 'translate_bound_jac', 'translate_bound_f_jac', 'curve_fit', 'quad', 'quad_adaptive', 'stable_poly_to_unstable', 'std', 'min_max_ratios', 'detect_outlier_normal', 'max_abs_error', 'max_abs_rel_error', 'max_squared_error', 'max_squared_rel_error', 'mean_abs_error', 'mean_abs_rel_error', 'mean_squared_error', 'mean_squared_rel_error', # Complex number math missing in micropython 'cacos', 'catan', 'deflate_cubic_real_roots', 'fit_minimization_targets', 'root', 'minimize', 'fsolve', 'differential_evolution', 'lmder', 'lmfit', 'horner_backwards', 'exp_horner_backwards', 'horner_backwards_ln_tau', 'exp_horner_backwards_ln_tau', 'exp_horner_backwards_ln_tau_and_der', 'exp_horner_backwards_ln_tau_and_der2', 'exp_poly_ln_tau_coeffs2', 'exp_poly_ln_tau_coeffs3', 'exp_horner_backwards_and_der', 'exp_horner_backwards_and_der2', 'exp_horner_backwards_and_der3', 'horner_backwards_ln_tau_and_der', 'horner_backwards_ln_tau_and_der2', 'horner_backwards_ln_tau_and_der3', 'horner_domain', 'polynomial_offset_scale', 'horner_stable', 'horner_stable_and_der', 'horner_stable_and_der2', 'horner_stable_and_der3', 'horner_stable_and_der4', 'exp_horner_stable', 'exp_horner_stable_and_der', 'exp_horner_stable_and_der2', 'exp_horner_stable_and_der3', 'exp_cheb_and_der', 'exp_cheb_and_der2', 'exp_cheb_and_der3', 'chebval_ln_tau', 'chebval_ln_tau_and_der', 'chebval_ln_tau_and_der2', 'chebval_ln_tau_and_der3', 'horner_stable_ln_tau', 'horner_stable_ln_tau_and_der', 'horner_stable_ln_tau_and_der2', 'horner_stable_ln_tau_and_der3', 'exp_cheb_ln_tau', 'exp_cheb_ln_tau_and_der', 'exp_cheb_ln_tau_and_der2', 'exp_horner_stable_ln_tau', 'exp_horner_stable_ln_tau_and_der', 'exp_horner_stable_ln_tau_and_der2', ] from fluids.numerics import doubledouble from fluids.numerics.doubledouble import * __all__.extend(doubledouble.__all__) __numba_additional_funcs__ = ['py_bisplev', 'py_splev', 'binary_search', 'py_lambertw', '_lambertw_err', 'newton_err', 'norm2', 'py_solve', 'func_35_splev', 'func_40_splev', 'quad_adaptive', 'fixed_quad_Gauss_Kronrod', 'halley_compat_numba', ] nan = float("nan") inf = float("inf") SKIP_DEPENDENCIES = False # for testing class FakePackage(object): pkg = None def __getattr__(self, name): raise ImportError('%s in not installed and required by this feature' %(self.pkg)) def __init__(self, pkg): self.pkg = pkg version_components = sys.version.split('.') PY_MAJOR, PY_MINOR = int(version_components[0]), int(version_components[1]) PY37 = (PY_MAJOR, PY_MINOR) >= (3, 7) try: # The right way imports the platform module which costs to ms to load! # implementation = platform.python_implementation() IS_PYPY = 'PyPy' in sys.version except AttributeError: IS_PYPY = False # Hacks for numba - allow the module to run in different ways try: IS_PYPY = FORCE_PYPY except: pass try: array_if_needed except: array_if_needed = lambda x: x try: is_micropython = sys.implementation.name == 'micropython' if is_micropython: IS_PYPY = True except: is_micropython = False try: is_ironpython = sys.implementation.name == 'ironpython' if is_ironpython: IS_PYPY = True except: is_ironpython = False if is_micropython: hypot = py_hypot def sincos(x): return sin(x), cos(x) try: if IS_PYPY: def sincos(x): # fast implementation based of cephes and go PI4A = 7.85398125648498535156e-1 PI4B = 3.77489470793079817668e-8 PI4C = 2.69515142907905952645e-15 M4PI = 1.273239544735162542821171882678754627704620361328125 #// 4/pi sinSign, cosSign = False, False if x < 0: x = -x sinSign = True j = int(x * M4PI) y = float(j) if j&1 == 1: j += 1 y += 1 j &= 7 if j > 3: j -= 4 sinSign, cosSign = not sinSign, not cosSign if j > 1: cosSign = not cosSign z = ((x - y*PI4A) - y*PI4B) - y*PI4C zz = z * z cos = 1.0 - 0.5*zz + zz*zz*((((((-1.13585365213876817300E-11*zz)+2.08757008419747316778E-9) *zz+-2.75573141792967388112E-7)*zz+2.48015872888517045348E-5) *zz+-1.38888888888730564116E-3)*zz+4.16666666666665929218E-2) sin = z + z*zz*((((((1.58962301576546568060E-10*zz)+-2.50507477628578072866E-8)*zz+2.75573136213857245213E-6) *zz+-1.98412698295895385996E-4)*zz+8.33333333332211858878E-3)*zz+-1.66666666666666307295E-1) if j == 1 or j == 2: sin, cos = cos, sin if cosSign : cos = -cos if sinSign: sin = -sin return sin, cos except: pass try: from cmath import acos as cacos, atan as catan, atanh as catanh, isclose as cisclose except: cacos = py_cacos catan = py_catan catanh = py_catanh _wraps = None def my_wraps(): global _wraps if _wraps is not None: return _wraps from functools import wraps _wraps = wraps return _wraps #IS_PYPY = True # for testing if not SKIP_DEPENDENCIES: try: # Regardless of actual interpreter, fall back to pure python implementations # if scipy and numpy are not available. import numpy np = numpy except ImportError: # Allow a fake numpy to be imported, but will raise an excption on any use numpy = FakePackage('numpy') IS_PYPY = True else: numpy = FakePackage('numpy') IS_PYPY = True IS_PYPY_OR_SKIP_DEPENDENCIES = IS_PYPY or SKIP_DEPENDENCIES np = numpy try: scalar_types = (float, int, np.float64, np.float32, np.float16, np.float128, np.int8, np.int16, np.int32, np.int64) except: scalar_types = (float, int) #IS_PYPY = True try: from sys import float_info epsilon = float_info.epsilon except: # Probably micropython epsilon = 2.220446049250313e-16 one_epsilon_larger = 1.0 + epsilon one_epsilon_smaller = 1.0 - epsilon zero_epsilon_smaller = 0.0 - epsilon one_10_epsilon_larger = 1.0 + epsilon*10.0 one_10_epsilon_smaller = 1.0 - epsilon*10.0 one_100_epsilon_larger = 1.0 + epsilon*100.0 one_100_epsilon_smaller = 1.0 - epsilon*100.0 one_1000_epsilon_larger = 1.0 + epsilon*1000.0 one_1000_epsilon_smaller = 1.0 - epsilon*1000.0 _iter = 100 _xtol = 1e-12 _rtol = epsilon*2.0 third = 1.0/3.0 sixth = 1.0/6.0 ninth = 1.0/9.0 twelfth = 1.0/12.0 two_thirds = 2.0/3.0 four_thirds = 4.0/3.0 root_three = 1.7320508075688772 # sqrt(3.0) one_27 = 1.0/27.0 complex_factor = 0.8660254037844386j # (sqrt(3)*0.5j) def roots_quadratic(a, b, c): if a == 0.0: return (-c/b, ) D = b*b - 4.0*a*c a_inv_2 = 0.5/a if D < 0.0: D = sqrt(-D) x1 = (-b + D*1.0j)*a_inv_2 x2 = (-b - D*1.0j)*a_inv_2 else: D = sqrt(D) x1 = (D - b)*a_inv_2 x2 = -(b + D)*a_inv_2 return (x1, x2) def roots_cubic_a1(b, c, d): # Output from mathematica t1 = b*b t2 = t1*b t4 = c*b t9 = c*c t16 = d*d t19 = csqrt(12.0*t9*c + 12.0*t2*d - 54.0*t4*d - 3.0*t1*t9 + 81.0*t16) t22 = (-8.0*t2 + 36.0*t4 - 108.0*d + 12.0*t19)**third root1 = t22*sixth - 6.0*(c*third - t1*ninth)/t22 - b*third t28 = (c*third - t1*ninth)/t22 t101 = -t22*twelfth + 3.0*t28 - b*third t102 = root_three*(t22*sixth + 6.0*t28) root2 = t101 + 0.5j*t102 root3 = t101 - 0.5j*t102 return [root1, root2, root3] def roots_cubic_a2(a, b, c, d): # Output from maple t2 = a*a t3 = d*d t10 = c*c t14 = b*b t15 = t14*b t20 = csqrt(-18.0*a*b*c*d + 4.0*a*t10*c + 4.0*t15*d - t14*t10 + 27.0*t2*t3) t31 = (36.0*c*b*a + 12.0*root_three*t20*a - 108.0*d*t2 - 8.0*t15)**third t32 = 1.0/a root1 = t31*t32*sixth - two_thirds*(3.0*a*c - t14)*t32/t31 - b*t32*third t33 = t31*t32 t40 = (3.0*a*c - t14)*t32/t31 t50 = -t33*twelfth + t40*third - b*t32*third t51 = 0.5j*root_three *(t33*sixth + two_thirds*t40) root2 = t50 + t51 root3 = t50 - t51 return [root1, root2, root3] def roots_cubic(a, b, c, d): r'''Cubic equation solver based on a variety of sources, algorithms, and numerical tools. It seems evident after some work that no analytical solution using floating points will ever have high-precision results for all cases of inputs. Some other solvers, such as NumPy's roots which uses eigenvalues derived using some BLAS, seem to provide bang-on answers for all values coefficients. However, they can be quite slow - and where possible there is still a need for analytical solutions to obtain 15-35x speed, such as when using PyPy. A particular focus of this routine is where a=1, b is a small number in the range -10 to 10 - a common occurrence in cubic equations of state. Parameters ---------- a : float Coefficient of x^3, [-] b : float Coefficient of x^2, [-] c : float Coefficient of x, [-] d : float Added coefficient, [-] Returns ------- roots : tuple(float) The evaluated roots of the polynomial, 1 value when a and b are zero, two values when a is zero, and three otherwise, [-] Notes ----- For maximum speed, provide Python floats. Compare the speed with numpy via: %timeit roots_cubic(1.0, 100.0, 1000.0, 10.0) %timeit np.roots([1.0, 100.0, 1000.0, 10.0]) %timeit roots_cubic(1.0, 2.0, 3.0, 4.0) %timeit np.roots([1.0, 2.0, 3.0, 4.0]) The speed is ~15-35 times faster; or using PyPy, 240-370 times faster. Examples -------- >>> roots_cubic(1.0, 100.0, 1000.0, 10.0) (-0.0100100190, -88.731288, -11.25870159) References ---------- .. [1] "Solving Cubic Equations." Accessed January 5, 2019. http://www.1728.org/cubic2.htm. ''' ''' Notes ----- Known issue is inputs that look like 1, -0.999999999978168, 1.698247818501352e-11, -8.47396642608142e-17 Errors grown unbound, starting when b is -.99999 and close to 1. ''' if a == 0.0: if b == 0.0: return (-d/c, ) D = c*c - 4.0*b*d b_inv_2 = 0.5/b if D < 0.0: D = sqrt(-D) x1 = (-c + D*1.0j)*b_inv_2 x2 = (-c - D*1.0j)*b_inv_2 else: D = sqrt(D) x1 = (D - c)*b_inv_2 x2 = -(c + D)*b_inv_2 return (x1, x2) a_inv = 1.0/a a_inv2 = a_inv*a_inv bb = b*b '''Herbie modifications for f: c*a_inv - b_a*b_a*third ''' b_a = b*a_inv b_a2 = b_a*b_a f = c*a_inv - b_a2*third # f = (3.0*c*a_inv - bb*a_inv2)*third g = ((2.0*(bb*b) * a_inv2*a_inv) - (9.0*b*c)*(a_inv2) + (27.0*d*a_inv))*one_27 # g = (((2.0/(a/b))/((a/b) * (a/b)) + d*27.0/a) - (9.0/a*b)*c/a)/27.0 h = (0.25*(g*g) + (f*f*f)*one_27) # print(f, g, h) '''h has no savings on precision - 0.4 error to 0.2. ''' # print(f, g, h, 'f, g, h') if h == 0.0 and g == 0.0 and f == 0.0: if d/a >= 0.0: x = -((d*a_inv)**(third)) else: x = (-d*a_inv)**(third) return (x, x, x) elif h > 0.0: # Happy with these formulas - double doubles should be fast. # No complex numbers are needed here. # print('basic') # 1 real root, 2 imag root_h = sqrt(h) R = -0.5*g + root_h # It is possible to save one of the power of thirds! if R >= 0.0: S = R**third else: S = -((-R)**third) T = -(0.5*g) - root_h if T >= 0.0: U = (T**(third)) else: U = -(((-T)**(third))) SU = S + U b_3a = b*(third*a_inv) t1 = -0.5*SU - b_3a t2 = (S - U)*complex_factor x1 = SU - b_3a # x1 is OK actually in some tests? the issue is x2, x3? x2 = t1 + t2 x3 = t1 - t2 else: # elif h <= 0.0: t2 = a*a t3 = d*d t10 = c*c t14 = b*b t15 = t14*b '''This method is inaccurate when choice_term is too small; but still more accurate than the other method. ''' choice_term = -18.0*a*b*c*d + 4.0*a*t10*c + 4.0*t15*d - t14*t10 + 27.0*t2*t3 if (abs(choice_term) > 1e-12 or abs(b + 1.0) < 1e-7): # print('mine') t32 = 1.0/a t20 = csqrt(choice_term) t31 = (36.0*c*b*a + 12.0*root_three*t20*a - 108.0*d*t2 - 8.0*t15)**third t33 = t31*t32 t32_t31 = t32/t31 x1 = (t33*sixth - two_thirds*(3.0*a*c - t14)*t32_t31 - b*t32*third).real t40 = (3.0*a*c - t14)*t32_t31 t50 = -t33*twelfth + t40*third - b*t32*third t51 = 0.5j*root_three*(t33*sixth + two_thirds*t40) x2 = (t50 + t51).real x3 = (t50 - t51).real else: # print('other') # 3 real roots # example is going in here i = sqrt(((g*g)*0.25) - h) j = i**third # There was a saving for j but it was very weird with if statements! '''Clamied nothing saved for k. ''' k = acos(-0.5*g/i) # L = -j # N, M = sincos(k*third) # N *= root_three k_third = k*third M = cos(k_third) N = root_three*sin(k_third) P = -b_a*third # Direct formula for x1 x1 = 2.0*j*M + P x2 = P - j*(M + N) x3 = P - j*(M - N) return (x1, x2, x3) def roots_quartic(a, b, c, d, e): # There is no divide by zero check. A should be 1 for best numerical results # Multiple order of magnitude differences still can cause problems # Like [1, 0.0016525874561771799, 106.8665062954208, 0.0032802613917246727, 0.16036091315844248] x0 = 1.0/a x1 = b*x0 x2 = -x1*0.25 x3 = c*x0 x4 = b*b*x0*x0 x5 = -two_thirds*x3 + 0.25*x4 x6 = x3 - 0.375*x4 x6_2 = x6*x6 x7 = x6_2*x6 x8 = d*x0 x9 = x1*(-0.5*x3 + 0.125*x4) x10 = (x8 + x9)*(x8 + x9) x11 = e*x0 x12 = x1*(x1*(-0.0625*x3 + 0.01171875*x4) + 0.25*x8) # 0.01171875 = 3/256 x13 = x6*(x11 - x12) x14 = -.125*x10 + x13*third - x7/108.0 x15 = 2.0*(x14 + 0.0j)**(third) x16 = csqrt(-x15 + x5) x17 = 0.5*x16 x18 = -x17 + x2 x19 = -four_thirds*x3 x20 = 0.5*x4 x21 = x15 + x19 + x20 x22 = 2.0*x8 + 2.0*x9 x23 = x22/x16 x24 = csqrt(x21 + x23)*0.5 x25 = -x11 + x12 - twelfth*x6_2 x27 = (0.0625*x10 - x13*sixth + x7/216.0 + csqrt(0.25*x14*x14 + one_27*x25*x25*x25))**(third) x28 = 2.0*x27 x29 = two_thirds*x25/(x27) x30 = csqrt(x28 - x29 + x5) x31 = 0.5*x30 x32 = x2 - x31 x33 = x19 + x20 - x28 + x29 x34 = x22/x30 x35 = csqrt(x33 + x34)*0.5 x36 = x17 + x2 x37 = csqrt(x21 - x23)*0.5 x38 = x2 + x31 x39 = csqrt(x33 - x34)*0.5 return ((x32 - x35), (x32 + x35), (x38 - x39), (x38 + x39)) def mean(data): # Much faster than the statistics.mean module return sum(data)/len(data) def detect_outlier_normal(data, cutoff=3): std_val = std(data) mean_val = mean(data) low = mean_val - std_val*cutoff high = mean_val + std_val*cutoff outlier_idxs = [] for i, p in enumerate(data): if p < low or p > high: outlier_idxs.append(i) return outlier_idxs def linspace(start, stop, num=50, endpoint=True, retstep=False, dtype=None): """Port of numpy's linspace to pure python. Does not support dtype, and returns lists of floats. """ num = int(num) start = start * 1. stop = stop * 1. if num <= 0: return [] if endpoint: if num == 1: return [start] step = (stop-start)/float((num-1)) if num == 1: step = nan y = [start] for _ in range(num-2): y.append(y[-1] + step) y.append(stop) else: step = (stop-start)/float(num) if num == 1: step = nan y = [start] for _ in range(num-1): y.append(y[-1] + step) if retstep: return y, step else: return y def logspace(start, stop, num=50, endpoint=True, base=10.0, dtype=None): y = linspace(start, stop, num=num, endpoint=endpoint) for i in range(len(y)): y[i] = base**y[i] # return [base**yi for yi in y] return y def product(l): # Helper in some functions tot = 1.0 for i in l: tot *= i return tot def cumsum(a): # Does not support multiple dimensions base = a[0] sums = [base] for v in a[1:]: base = base + v sums.append(base) return sums def diff(a, n=1, axis=-1): if n == 0: return a if n < 0: raise ValueError( "order must be non-negative but got %s" %(n)) # nd = 1 # hardcode diffs = [] for i in range(1, len(a)): delta = a[i] - a[i-1] diffs.append(delta) if n > 1: return diff(diffs, n-1) return diffs central_diff_weights_precomputed = { (1, 3): [-0.5, 0.0, 0.5], (1, 5): [0.08333333333333333, -0.6666666666666666, 0.0, 0.6666666666666666, -0.08333333333333333], (1, 7): [-0.016666666666666666, 0.15, -0.75, 0.0, 0.75, -0.15, 0.016666666666666666], (1, 9): [0.0035714285714285713, -0.0380952380952381, 0.2, -0.8, 0.0, 0.8, -0.2, 0.0380952380952381, -0.0035714285714285713], (1, 11): [-0.0007936507936507937, 0.00992063492063492, -0.05952380952380952, 0.23809523809523808, -0.8333333333333334, 0.0, 0.8333333333333334, -0.23809523809523808, 0.05952380952380952, -0.00992063492063492, 0.0007936507936507937], (1, 13): [0.00018037518037518038, -0.0025974025974025974, 0.017857142857142856, -0.07936507936507936, 0.26785714285714285, -0.8571428571428571, 0.0, 0.8571428571428571, -0.26785714285714285, 0.07936507936507936, -0.017857142857142856, 0.0025974025974025974, -0.00018037518037518038], (1, 15): [-4.1625041625041625e-05, 0.0006798756798756799, -0.005303030303030303, 0.026515151515151516, -0.09722222222222222, 0.2916666666666667, -0.875, 0.0, 0.875, -0.2916666666666667, 0.09722222222222222, -0.026515151515151516, 0.005303030303030303, -0.0006798756798756799, 4.1625041625041625e-05], (1, 17): [9.712509712509713e-06, -0.0001776001776001776, 0.001554001554001554, -0.008702408702408702, 0.03535353535353535, -0.11313131313131314, 0.3111111111111111, -0.8888888888888888, 0.0, 0.8888888888888888, -0.3111111111111111, 0.11313131313131314, -0.03535353535353535, 0.008702408702408702, -0.001554001554001554, 0.0001776001776001776, -9.712509712509713e-06], (1, 19): [-2.285296402943462e-06, 4.6277252159605104e-05, -0.00044955044955044955, 0.002797202797202797, -0.012587412587412588, 0.044055944055944055, -0.12727272727272726, 0.32727272727272727, -0.9, 0.0, 0.9, -0.32727272727272727, 0.12727272727272726, -0.044055944055944055, 0.012587412587412588, -0.002797202797202797, 0.00044955044955044955, -4.6277252159605104e-05, 2.285296402943462e-06], (2, 3): [1.0, -2.0, 1.0], (2, 5): [-0.08333333333333333, 1.3333333333333333, -2.5, 1.3333333333333333, -0.08333333333333333], (2, 7): [0.011111111111111112, -0.15, 1.5, -2.7222222222222223, 1.5, -0.15, 0.011111111111111112], (2, 9): [-0.0017857142857142857, 0.025396825396825397, -0.2, 1.6, -2.8472222222222223, 1.6, -0.2, 0.025396825396825397, -0.0017857142857142857], (2, 11): [0.00031746031746031746, -0.00496031746031746, 0.03968253968253968, -0.23809523809523808, 1.6666666666666667, -2.9272222222222224, 1.6666666666666667, -0.23809523809523808, 0.03968253968253968, -0.00496031746031746, 0.00031746031746031746], (2, 13): [-6.012506012506013e-05, 0.001038961038961039, -0.008928571428571428, 0.05291005291005291, -0.26785714285714285, 1.7142857142857142, -2.9827777777777778, 1.7142857142857142, -0.26785714285714285, 0.05291005291005291, -0.008928571428571428, 0.001038961038961039, -6.012506012506013e-05], (2, 15): [1.1892869035726179e-05, -0.00022662522662522663, 0.0021212121212121214, -0.013257575757575758, 0.06481481481481481, -0.2916666666666667, 1.75, -3.02359410430839, 1.75, -0.2916666666666667, 0.06481481481481481, -0.013257575757575758, 0.0021212121212121214, -0.00022662522662522663, 1.1892869035726179e-05], (2, 17): [-2.428127428127428e-06, 5.074290788576503e-05, -0.000518000518000518, 0.003480963480963481, -0.017676767676767676, 0.07542087542087542, -0.3111111111111111, 1.7777777777777777, -3.05484410430839, 1.7777777777777777, -0.3111111111111111, 0.07542087542087542, -0.017676767676767676, 0.003480963480963481, -0.000518000518000518, 5.074290788576503e-05, -2.428127428127428e-06], (2, 19): [5.078436450985471e-07, -1.1569313039901276e-05, 0.00012844298558584272, -0.0009324009324009324, 0.005034965034965035, -0.022027972027972027, 0.08484848484848485, -0.32727272727272727, 1.8, -3.0795354623330815, 1.8, -0.32727272727272727, 0.08484848484848485, -0.022027972027972027, 0.005034965034965035, -0.0009324009324009324, 0.00012844298558584272, -1.1569313039901276e-05, 5.078436450985471e-07], (3, 5): [-0.5, 1.0, 0.0, -1.0, 0.5], (3, 7): [0.125, -1.0, 1.625, 0.0, -1.625, 1.0, -0.125], (3, 9): [-0.029166666666666667, 0.30000000000000004, -1.4083333333333332, 2.033333333333333, 0.0, -2.033333333333333, 1.4083333333333332, -0.30000000000000004, 0.029166666666666667], # (3, 11): [0.006779100529100529, -0.08339947089947089, 0.48303571428571435, -1.7337301587301588, 2.3180555555555555, # 0.0, -2.3180555555555555, 1.7337301587301588, -0.48303571428571435, 0.08339947089947089, # -0.006779100529100529], # (3, 13): [-0.0015839947089947089, 0.02261904761904762, -0.1530952380952381, 0.6572751322751322, -1.9950892857142857, # 2.527142857142857, 0.0, -2.527142857142857, 1.9950892857142857, -0.6572751322751322, 0.1530952380952381, # -0.02261904761904762, 0.0015839947089947089], # (3, 15): [0.0003724747474747475, -0.006053691678691679, 0.04682990620490621, -0.2305699855699856, 0.8170667989417989, # -2.2081448412698412, 2.6869345238095237, 0.0, -2.6869345238095237, 2.2081448412698412, -0.8170667989417989, # 0.2305699855699856, -0.04682990620490621, 0.006053691678691679, -0.0003724747474747475], # (3, 17): [-8.810006131434702e-05, 0.0016058756058756059, -0.013982697196982911, 0.07766492766492766, # -0.31074104136604136, 0.9613746993746994, -2.384521164021164, 2.81291761148904, 0.0, -2.81291761148904, # 2.384521164021164, -0.9613746993746994, 0.31074104136604136, -0.07766492766492766, 0.013982697196982911, # -0.0016058756058756059, 8.810006131434702e-05], # (3, 19): [2.0943672729387014e-05, -0.00042319882498453924, 0.00409817266067266, -0.025376055161769447, # 0.11326917130488559, -0.3904945471195471, 1.0909741462241462, -2.532634817563389, 2.9147457482993198, 0.0, # -2.9147457482993198, 2.532634817563389, -1.0909741462241462, 0.3904945471195471, -0.11326917130488559, # 0.025376055161769447, -0.00409817266067266, 0.00042319882498453924, -2.0943672729387014e-05], # (4, 5): [1.0, -4.0, 6.0, -4.0, 1.0], # (4, 7): [-0.16666666666666666, 2.0, -6.5, 9.333333333333334, -6.5, 2.0, -0.16666666666666666], # (4, 9): [0.029166666666666667, -0.4, 2.8166666666666664, -8.133333333333333, 11.375, -8.133333333333333, # 2.8166666666666664, -0.4, 0.029166666666666667], # (4, 11): [-0.005423280423280424, 0.08339947089947089, -0.644047619047619, 3.4674603174603176, -9.272222222222222, # 12.741666666666665, -9.272222222222222, 3.4674603174603176, -0.644047619047619, 0.08339947089947089, # -0.005423280423280424], # (4, 13): [0.0010559964726631393, -0.018095238095238095, 0.1530952380952381, -0.8763668430335096, 3.9901785714285714, # -10.108571428571429, 13.717407407407407, -10.108571428571429, 3.9901785714285714, -0.8763668430335096, # 0.1530952380952381, -0.018095238095238095, 0.0010559964726631393], # (5, 7): [-0.5, 2.0, -2.5, 0.0, 2.5, -2.0, 0.5], # (5, 9): [0.16666666666666669, -1.5, 4.333333333333333, -4.833333333333334, 0.0, 4.833333333333334, -4.333333333333333, # 1.5, -0.16666666666666669], # (5, 11): [-0.04513888888888889, 0.5277777777777778, -2.71875, 6.5, -6.729166666666667, 0.0, 6.729166666666667, -6.5, # 2.71875, -0.5277777777777778, 0.04513888888888889], # (5, 13): [0.011491402116402117, -0.16005291005291006, 1.033399470899471, -3.9828042328042326, 8.39608134920635, # -8.246031746031747, 0.0, 8.246031746031747, -8.39608134920635, 3.9828042328042326, -1.033399470899471, # 0.16005291005291006, -0.011491402116402117] } def deflate_cubic_real_roots(b, c, d, x0): F = b + x0 G = -d/x0 D = F*F - 4.0*G # if D < 0.0: # D = (-D)**0.5 # x1 = (-F + D*1.0j)*0.5 # x2 = (-F - D*1.0j)*0.5 # else: if D < 0.0: return (0.0, 0.0) D = sqrt(D) x1 = 0.5*(D - F)#(D - c)*0.5 x2 = 0.5*(-F - D) #-(c + D)*0.5 return x1, x2 def central_diff_weights(points, divisions=1): # Check the cache if (divisions, points) in central_diff_weights_precomputed: return central_diff_weights_precomputed[(divisions, points)] if points < divisions + 1: raise ValueError("Points < divisions + 1, cannot compute") if points % 2 == 0: raise ValueError("Odd number of points required") ho = points >> 1 x = [[xi] for xi in range(-ho, ho+1)] X = [] for xi in x: line = [1.0] + [xi[0]**k for k in range(1, points)] X.append(line) factor = product(range(1, divisions + 1)) # from scipy.linalg import inv from sympy import Matrix # The above coefficients were generated from a routine which used Fractions # Additional coefficients cannot reliable be computed with numpy or floating # point numbers - the error is too great # sympy must be used for reliability inverted = [[float(j) for j in i] for i in Matrix(X).inv().tolist()] w = [i*factor for i in inverted[divisions]] # w = [i*factor for i in (inv(X)[divisions]).tolist()] central_diff_weights_precomputed[(divisions, points)] = w return w def derivative(func, x0, dx=1.0, n=1, args=(), order=3, scalar=True, lower_limit=None, upper_limit=None, kwargs={}): """Reimplementation of SciPy's derivative function, with more cached coefficients and without using numpy. If new coefficients not cached are needed, they are only calculated once and are remembered. Support for vector value functions has also been added. """ if order < n + 1: raise ValueError if order % 2 == 0: raise ValueError weights = central_diff_weights(order, n) ho = order >> 1 denominator = 1.0/product([dx]*n) if scalar: max_x = x0 + (order - 1 - ho)*dx if upper_limit is not None and max_x > upper_limit: x0 -= (max_x - x0) min_x = x0 + -ho*dx if lower_limit is not None and min_x < lower_limit: x0 += (x0 - min_x) tot = 0.0 for k in range(order): if weights[k] != 0.0: tot += weights[k]*func(x0 + (k - ho)*dx, *args, **kwargs) return tot*denominator else: numerators = None for k in range(order): f = func(x0 + (k - ho)*dx, *args, **kwargs) if numerators is None: N = len(f) numerators = [0.0]*N for i in range(N): numerators[i] += weights[k]*f[i] return [num*denominator for num in numerators] kronrod_weights = { # 2: [0.1979797979797974, 0.4909090909090922, 0.6222222222222221, 0.4909090909090904, 0.1979797979797974], # 3: [0.10465622602646653, 0.2684880898683364, 0.4013974147759613, 0.45091653865847436, 0.40139741477596186, 0.26848808986833306, 0.10465622602646701], # 4: [0.06297737366547282, 0.17005360533572325, 0.26679834045228396, 0.3269491896014517, 0.3464429818901376, 0.32694918960145064, 0.2667983404522837, # 0.17005360533572333, 0.06297737366547272 # ], # 5: [0.042582036751078814, 0.11523331662247298, 0.1868007965564952, 0.2410403392286488, 0.27284980191255903, 0.28298741785749215, 0.2728498019125575, # 0.24104033922864848, 0.1868007965564929, 0.11523331662247287, 0.04258203675108158 # ], # 6: [0.03039615411981852, 0.08369444044690531, 0.1373206046344473, 0.1810719943231391, 0.21320965227196226, 0.23377086411699666, 0.2410725801734652, # 0.23377086411699363, 0.21320965227196081, 0.1810719943231382, 0.13732060463444687, 0.08369444044690623, 0.030396154119819826 # ], # 7: [0.02293532201053038, 0.0630920926299766, 0.10479001032225017, 0.14065325971552478, 0.16900472663927035, 0.19035057806478545, 0.2044329400753001, # 0.20948214108472712, 0.2044329400752992, 0.1903505780647853, 0.16900472663926686, 0.14065325971552592, 0.10479001032225005, 0.06309209262997834, # 0.022935322010529363 # ], # 8: [0.017822383320711625, 0.04943939500213785, 0.08248229893135677, 0.11164637082684088, 0.13626310925517557, 0.15665260616818655, 0.17207060855521186, # 0.18140002506803385, 0.18444640574468968, 0.1814000250680349, 0.1720706085552107, 0.1566526061681889, 0.13626310925517285, 0.11164637082683933, # 0.08248229893135825, 0.04943939500213947, 0.017822383320710476 # ], # 9: [0.014304775643840032, 0.03963189516026222, 0.0665181559402729, 0.09079068168872734, 0.11178913468441762, 0.13000140685534053, 0.14523958838436735, # 0.15641352778848416, 0.16286282744011463, 0.16489601282834765, 0.16286282744011538, 0.15641352778848497, 0.14523958838436518, # 0.13000140685534053, 0.11178913468441844, 0.09079068168872709, 0.0665181559402743, 0.03963189516026152, 0.01430477564383906 # ], 10: [0.011694638867371172, 0.03255816230796458, 0.05475589657435185, 0.07503967481091954, 0.09312545458369915, 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0.9667091989287728, 0.9693313496680812, 0.9718475557430343, 0.9742575421410374, 0.9765610454590226, 0.9787578139322587, 0.9808476074619004, 0.9828301976412724, 0.9847053677808957, 0.9864729129322606, 0.9881326399103604, 0.9896843673150097, 0.9911279255509899, 0.9924631568471006, 0.9936899152742682, 0.9948080667630034, 0.9958174891208242, 0.9967180720510002, 0.9975097171758793, 0.9981923380734435, 0.998765860353095, 0.9992302218632736, 0.9995853734488863, 0.9998312829844194, 0.9999679782184367], #} def jacobian(f, x0, scalar=True, perturbation=1e-9, zero_offset=1e-7, args=(), **kwargs): """def test_fun(x): # test case - 2 inputs, 3 outputs - should work fine x2 = x[0]*x[0] return np.array([x2*exp(x[1]), x2*sin(x[1]), x2*cos(x[1])]) def easy_fun(x): x = x[0] return 5*x*x - 3*x - 100 """ # For scalar - returns list, size of input variables # For vector - returns list of list - size of input variables * output variables # Could add backwards/complex, multiple evaluations, detection of poor condition # types and limits base = f(x0, *args, **kwargs) if not scalar: base = list(base) # copy the base point x = list(x0) nx = len(x0) gradient = [] for i in range(nx): delta = x0[i]*(perturbation) if delta == 0: delta = zero_offset x[i] += delta point = f(x, *args, **kwargs) if scalar: dy = (point - base)/delta gradient.append(dy) else: delta_inv = 1.0/delta dys = [delta_inv*(p - b) for p, b in zip(point, base)] gradient.append(dys) x[i] -= delta if not scalar: # Transpose to be in standard form return list(map(list, zip(*gradient))) return gradient def hessian(f, x0, scalar=True, perturbation=1e-9, zero_offset=1e-7, full=True, args=(), **kwargs): # Takes n**2/2 + 3*n/2 + 1 function evaluations! Can still be quite fast. # For scalar - returns list[list], size of input variables # For vector - returns list of list of list - size of input variables * input variables * output variables # Could add backwards/complex, multiple evaluations, detection of poor condition # types and limits, jacobian as output, fevals base = f(x0, *args, **kwargs) nx = len(x0) if not isinstance(base, (float, int, complex)): try: ny = len(base) except: ny = 1 else: ny = 1 deltas = [] for i in range(nx): delta = x0[i]*(perturbation) if delta == 0.0: delta = zero_offset deltas.append(delta) deltas_inv = [1.0/di for di in deltas] x_perturb = list(x0) fs_perturb_i = [] for i in range(nx): x_perturb[i] += deltas[i] f_perturb_i = f(x_perturb, *args, **kwargs) fs_perturb_i.append(f_perturb_i) x_perturb[i] -= deltas[i] if full: hessian = [[None]*nx for _ in range(nx)] else: hessian = [] for i in range(nx): if not full: row = [] f_perturb_i = fs_perturb_i[i] x_perturb[i] += deltas[i] for j in range(i+1): f_perturb_j = fs_perturb_i[j] x_perturb[j] += deltas[j] f_perturb_ij = f(x_perturb, *args, **kwargs) if scalar: dii0 = (f_perturb_i - base)*deltas_inv[i] dii1 = (f_perturb_ij - f_perturb_j)*deltas_inv[i] dij = (dii1 - dii0)*deltas_inv[j] else: # dii0s = [(fi - bi)*deltas_inv[i] for fi, bi in zip(f_perturb_i, base)] # dii1s = [(fij - fj)*deltas_inv[i] for fij, fj in zip(f_perturb_ij, f_perturb_j)] # dij = [(di1 - di0)*deltas_inv[j] for di1, di0 in zip(dii1s, dii0s)] # Saves a good amount of time dij = [((f_perturb_ij[m] - f_perturb_j[m]) - (f_perturb_i[m] - base[m]))*deltas_inv[j]*deltas_inv[i] for m in range(ny)] if not full: row.append(dij) else: hessian[i][j] = hessian[j][i] = dij x_perturb[j] -= deltas[j] if not full: hessian.append(row) x_perturb[i] -= deltas[i] return hessian def stable_poly_to_unstable(coeffs, low, high): if high != low: # Handle the case of no transformation, no limits my_poly = Polynomial([-0.5*(high + low)*2.0/(high - low), 2.0/(high - low)]) coeffs = horner(coeffs, my_poly).coef[::-1].tolist() return coeffs def horner_backwards(x, coeffs): return horner(coeffs, x) def exp_horner_backwards(x, coeffs): return exp(horner(coeffs, x)) def exp_horner_backwards_and_der(x, coeffs): poly_val, poly_der = horner_and_der(coeffs, x) val = exp(poly_val) der = poly_der*val return val, der def exp_horner_backwards_and_der2(x, coeffs): poly_val, poly_der, poly_der2 = horner_and_der2(coeffs, x) val = exp(poly_val) der = poly_der*val der2 = (poly_der*poly_der + poly_der2)*val return val, der, der2 def exp_horner_backwards_and_der3(x, coeffs): poly_val, poly_der, poly_der2, poly_der3 = horner_and_der3(coeffs, x) val = exp(poly_val) der = poly_der*val der2 = (poly_der*poly_der + poly_der2)*val der3 = (poly_der*poly_der*poly_der + 3.0*poly_der*poly_der2 + poly_der3)*val return val, der, der2, der3 def horner_backwards_ln_tau(T, Tc, coeffs): if T >= Tc: return 0.0 lntau = log(1.0 - T/Tc) return horner(coeffs, lntau) def horner_backwards_ln_tau_and_der(T, Tc, coeffs): if T >= Tc: return 0.0, 0.0 lntau = log(1.0 - T/Tc) val, poly_der = horner_and_der(coeffs, lntau) der = -poly_der/(Tc*(-T/Tc + 1)) return val, der def horner_backwards_ln_tau_and_der2(T, Tc, coeffs): if T >= Tc: return 0.0, 0.0, 0.0 lntau = log(1.0 - T/Tc) val, poly_der, poly_der2 = horner_and_der2(coeffs, lntau) der = -poly_der/(Tc*(-T/Tc + 1)) der2 = (-poly_der + poly_der2)/(Tc**2*(T/Tc - 1)**2) return val, der, der2 def horner_backwards_ln_tau_and_der3(T, Tc, coeffs): if T >= Tc: return 0.0, 0.0, 0.0, 00 lntau = log(1.0 - T/Tc) val, poly_der, poly_der2, poly_der3 = horner_and_der3(coeffs, lntau) der = -poly_der/(Tc*(-T/Tc + 1)) der2 = (-poly_der + poly_der2)/(Tc**2*(T/Tc - 1)**2) der3 = (2.0*poly_der - 3.0*poly_der2 + poly_der3)/(Tc**3*(T/Tc - 1)**3) return val, der, der2, der3 def exp_horner_backwards_ln_tau(T, Tc, coeffs): # This formulation has the nice property of being linear-linear when plotted # for surface tension if T >= Tc: return 0.0 # No matter what the polynomial term does to it, as tau goes to 1, x goes to a large negative value # So long as the polynomial has the right derivative at the end (and a reasonable constant) it will always converge to 0. lntau = log(1.0 - T/Tc) # Guarantee it is larger than 0 with the exp # This is a linear plot as well because both variables are transformed into a log basis. return exp(horner(coeffs, lntau)) def exp_horner_backwards_ln_tau_and_der(T, Tc, coeffs): if T >= Tc: return 0.0 tau = 1.0 - T/Tc lntau = log(tau) poly_val, poly_der_val = horner_and_der(coeffs, lntau) val = exp(poly_val) return val, -val*poly_der_val/(Tc*tau) def exp_horner_backwards_ln_tau_and_der2(T, Tc, coeffs): if T >= Tc: return 0.0 tau = 1.0 - T/Tc lntau = log(tau) poly_val, poly_val_der, poly_val_der2 = horner_and_der2(coeffs, lntau) val = exp(poly_val) der = -val*poly_val_der/(Tc*tau) der2 = (poly_val_der*poly_val_der - poly_val_der + poly_val_der2)*val/(Tc*Tc*(tau*tau)) return val, der, der2 def exp_poly_ln_tau_coeffs2(T, Tc, val, der): ''' from sympy import * T, Tc, T0, T1, T2, sigma0, sigma1, sigma2 = symbols('T, Tc, T0, T1, T2, sigma0, sigma1, sigma2') val, der = symbols('val, der') from sympy.abc import a, b, c from fluids.numerics import horner coeffs = [a, b] lntau = log(1 - T/Tc) sigma = exp(horner(coeffs, lntau)) d0 = diff(sigma, T) Eq0 = Eq(sigma,val) Eq1 = Eq(d0, der) s = solve([Eq0, Eq1], [a, b]) ''' c0 = der*(T - Tc)/val c1 = (-T*der*log((-T + Tc)/Tc) + Tc*der*log((-T + Tc)/Tc) + val*log(val))/val return [c0, c1] def exp_poly_ln_tau_coeffs3(T, Tc, val, der, der2): ''' from sympy import * T, Tc, T0, T1, T2, sigma0, sigma1, sigma2 = symbols('T, Tc, T0, T1, T2, sigma0, sigma1, sigma2') val, der, der2 = symbols('val, der, der2') from sympy.abc import a, b, c from fluids.numerics import horner coeffs = [a, b, c] lntau = log(1 - T/Tc) sigma = exp(horner(coeffs, lntau)) d0 = diff(sigma, T) Eq0 = Eq(sigma,val) Eq1 = Eq(d0, der) Eq2 = Eq(diff(d0, T), der2) # s = solve([Eq0, Eq1], [a, b]) s = solve([Eq0, Eq1, Eq2], [a, b, c]) ''' return [(-T**2*der**2 + T**2*der2*val + 2*T*Tc*der**2 - 2*T*Tc*der2*val + T*der*val - Tc**2*der**2 + Tc**2*der2*val - Tc*der*val)/(2*val**2), (T**2*der**2*log((-T + Tc)/Tc) - T**2*der2*val*log((-T + Tc)/Tc) - 2*T*Tc*der**2*log((-T + Tc)/Tc) + 2*T*Tc*der2*val*log((-T + Tc)/Tc) - T*der*val*log((-T + Tc)/Tc) + T*der*val + Tc**2*der**2*log((-T + Tc)/Tc) - Tc**2*der2*val*log((-T + Tc)/Tc) + Tc*der*val*log((-T + Tc)/Tc) - Tc*der*val)/val**2, (-T**2*der**2*log((-T + Tc)/Tc)**2 + T**2*der2*val*log((-T + Tc)/Tc)**2 + 2*T*Tc*der**2*log((-T + Tc)/Tc)**2 - 2*T*Tc*der2*val*log((-T + Tc)/Tc)**2 + T*der*val*log((-T + Tc)/Tc)**2 - 2*T*der*val*log((-T + Tc)/Tc) - Tc**2*der**2*log((-T + Tc)/Tc)**2 + Tc**2*der2*val*log((-T + Tc)/Tc)**2 - Tc*der*val*log((-T + Tc)/Tc)**2 + 2*Tc*der*val*log((-T + Tc)/Tc) + 2*val**2*log(val))/(2*val**2)] def horner_domain(x, coeffs, xmin, xmax): r'''Evaluates a polynomial defined by coefficienfs `coeffs` and domain (`xmin`, `xmax`) which maps the input variable into the window (-1, 1) where the polynomial can be evaluated most acccurately. The evaluation uses horner's method. Note that the coefficients are reversed compared to the common form; the first value is the coefficient of the highest-powered x term, and the last value in `coeffs` is the constant offset value. Parameters ---------- x : float Point at which to evaluate the polynomial, [-] coeffs : iterable[float] Coefficients of polynomial, [-] xmin : float Low value, [-] xmax : float High value, [-] Returns ------- val : float The evaluated value of the polynomial, [-] Notes ----- ''' range_inv = 1.0/(xmax - xmin) off = (-xmax - xmin)*range_inv scl = 2.0*range_inv x = off + scl*x tot = 0.0 for c in coeffs: tot = tot*x + c return tot def polynomial_offset_scale(xmin, xmax): range_inv = 1.0/(xmax - xmin) offset = (-xmax - xmin)*range_inv scale = 2.0*range_inv return offset, scale def horner_stable(x, coeffs, offset, scale): x = offset + scale*x tot = 0.0 for c in coeffs: tot = tot*x + c return tot def horner_stable_and_der(x, coeffs, offset, scale): x = offset + scale*x f = 0.0 der = 0.0 for a in coeffs: der = x*der + f f = x*f + a return (f, der*scale) def horner_stable_and_der2(x, coeffs, offset, scale): x = offset + scale*x f, der, der2 = 0.0, 0.0, 0.0 for a in coeffs: der2 = x*der2 + der der = x*der + f f = x*f + a return (f, der*scale, scale*scale*(der2 + der2)) def horner_stable_and_der3(x, coeffs, offset, scale): x = offset + scale*x f, der, der2, der3 = 0.0, 0.0, 0.0, 0.0 for a in coeffs: der3 = x*der3 + der2 der2 = x*der2 + der der = x*der + f f = x*f + a scale2 = scale*scale return (f, der*scale, scale2*(der2 + der2), scale2*scale*der3*6.0) def horner_stable_and_der4(x, coeffs, offset, scale): x = offset + scale*x f, der, der2, der3, der4 = 0.0, 0.0, 0.0, 0.0, 0.0 for a in coeffs: der4 = x*der4 + der3 der3 = x*der3 + der2 der2 = x*der2 + der der = x*der + f f = x*f + a scale2 = scale*scale return (f, der*scale, scale2*(der2 + der2), scale2*scale*der3*6.0, scale2*scale2*der4*24.0) def horner_stable_ln_tau(T, Tc, coeffs, offset, scale): if T >= Tc: return 0.0 lntau = log(1.0 - T/Tc) return horner_stable(lntau, coeffs, offset, scale) def horner_stable_ln_tau_and_der(T, Tc, coeffs, offset, scale): if T >= Tc: return 0.0, 0.0 lntau = log(1.0 - T/Tc) val, poly_der = horner_stable_and_der(lntau, coeffs, offset, scale) der = -poly_der/(Tc*(-T/Tc + 1)) return val, der def horner_stable_ln_tau_and_der2(T, Tc, coeffs, offset, scale): if T >= Tc: return 0.0, 0.0, 0.0 lntau = log(1.0 - T/Tc) val, poly_der, poly_der2 = horner_stable_and_der2(lntau, coeffs, offset, scale) der = -poly_der/(Tc*(-T/Tc + 1)) der2 = (-poly_der + poly_der2)/(Tc**2*(T/Tc - 1)**2) return val, der, der2 def horner_stable_ln_tau_and_der3(T, Tc, coeffs, offset, scale): if T >= Tc: return 0.0, 0.0, 0.0, 00 lntau = log(1.0 - T/Tc) val, poly_der, poly_der2, poly_der3 = horner_stable_and_der3(lntau, coeffs, offset, scale) der = -poly_der/(Tc*(-T/Tc + 1)) der2 = (-poly_der + poly_der2)/(Tc**2*(T/Tc - 1)**2) der3 = (2.0*poly_der - 3.0*poly_der2 + poly_der3)/(Tc**3*(T/Tc - 1)**3) return val, der, der2, der3 def exp_horner_stable(x, coeffs, offset, scale): return trunc_exp(horner_stable(x, coeffs, offset, scale)) def exp_horner_stable_and_der(x, coeffs, offset, scale): poly_val, poly_der = horner_stable_and_der(x, coeffs, offset, scale) val = exp(poly_val) der = poly_der*val return val, der def exp_horner_stable_and_der2(x, coeffs, offset, scale): poly_val, poly_der, poly_der2 = horner_stable_and_der2(x, coeffs, offset, scale) val = exp(poly_val) der = poly_der*val der2 = (poly_der*poly_der + poly_der2)*val return val, der, der2 def exp_horner_stable_and_der3(x, coeffs, offset, scale): poly_val, poly_der, poly_der2, poly_der3 = horner_stable_and_der3(x, coeffs, offset, scale) val = exp(poly_val) der = poly_der*val der2 = (poly_der*poly_der + poly_der2)*val der3 = (poly_der*poly_der*poly_der + 3.0*poly_der*poly_der2 + poly_der3)*val return val, der, der2, der3 def exp_horner_stable_ln_tau(T, Tc, coeffs, offset, scale): if T >= Tc: return 0.0 lntau = log(1.0 - T/Tc) return exp(horner_stable(lntau, coeffs, offset, scale)) def exp_horner_stable_ln_tau_and_der(T, Tc, coeffs, offset, scale): if T >= Tc: return 0.0, 0.0 tau = 1.0 - T/Tc lntau = log(tau) poly_val, poly_der_val = horner_stable_and_der(lntau, coeffs, offset, scale) val = exp(poly_val) return val, -val*poly_der_val/(Tc*tau) def exp_horner_stable_ln_tau_and_der2(T, Tc, coeffs, offset, scale): if T >= Tc: return 0.0, 0.0, 0.0 tau = 1.0 - T/Tc lntau = log(tau) poly_val, poly_val_der, poly_val_der2 = horner_stable_and_der2(lntau, coeffs, offset, scale) val = exp(poly_val) der = -val*poly_val_der/(Tc*tau) der2 = (poly_val_der*poly_val_der - poly_val_der + poly_val_der2)*val/(Tc*Tc*(tau*tau)) return val, der, der2 def exp_cheb(x, coeffs, offset, scale): y = chebval(x, coeffs, offset, scale) return trunc_exp(y) def exp_cheb_and_der(x, coeffs, der_coeffs, offset, scale): poly_val = chebval(x, coeffs, offset, scale) poly_der = chebval(x, der_coeffs, offset, scale) val = exp(poly_val) der = poly_der*val return val, der def exp_cheb_and_der2(x, coeffs, der_coeffs, der2_coeffs, offset, scale): poly_val = chebval(x, coeffs, offset, scale) poly_der = chebval(x, der_coeffs, offset, scale) poly_der2 = chebval(x, der2_coeffs, offset, scale) val = exp(poly_val) der = poly_der*val der2 = (poly_der*poly_der + poly_der2)*val return val, der, der2 def exp_cheb_and_der3(x, coeffs, der_coeffs, der2_coeffs, der3_coeffs, offset, scale): poly_val = chebval(x, coeffs, offset, scale) poly_der = chebval(x, der_coeffs, offset, scale) poly_der2 = chebval(x, der2_coeffs, offset, scale) poly_der3 = chebval(x, der3_coeffs, offset, scale) val = exp(poly_val) der = poly_der*val der2 = (poly_der*poly_der + poly_der2)*val der3 = (poly_der*poly_der*poly_der + 3.0*poly_der*poly_der2 + poly_der3)*val return val, der, der2, der3 def exp_cheb_ln_tau(T, Tc, coeffs, offset, scale): if T >= Tc: return 0.0 lntau = log(1.0 - T/Tc) y = chebval(lntau, coeffs, offset, scale) return trunc_exp(y) def exp_cheb_ln_tau_and_der(T, Tc, coeffs, der_coeffs, offset, scale): if T >= Tc: return 0.0, 0.0 tau = 1.0 - T/Tc lntau = log(tau) poly_val = chebval(lntau, coeffs, offset, scale) poly_der_val = chebval(lntau, der_coeffs, offset, scale) val = exp(poly_val) return val, -val*poly_der_val/(Tc*tau) def exp_cheb_ln_tau_and_der2(T, Tc, coeffs, der_coeffs, der2_coeffs, offset, scale): if T >= Tc: return 0.0, 0.0, 0.0 tau = 1.0 - T/Tc lntau = log(tau) poly_val = chebval(lntau, coeffs, offset, scale) poly_val_der = chebval(lntau, der_coeffs, offset, scale) poly_val_der2 = chebval(lntau, der2_coeffs, offset, scale) val = exp(poly_val) der = -val*poly_val_der/(Tc*tau) der2 = (poly_val_der*poly_val_der - poly_val_der + poly_val_der2)*val/(Tc*Tc*(tau*tau)) return val, der, der2 def chebval_ln_tau(T, Tc, coeffs, offset, scale): if T >= Tc: return 0.0 lntau = log(1.0 - T/Tc) poly_val = chebval(lntau, coeffs, offset, scale) return poly_val def chebval_ln_tau_and_der(T, Tc, coeffs, der_coeffs, offset, scale): if T >= Tc: return 0.0, 0.0 lntau = log(1.0 - T/Tc) val = chebval(lntau, coeffs, offset, scale) poly_der = chebval(lntau, der_coeffs, offset, scale) der = -poly_der/(Tc*(-T/Tc + 1)) return val, der def chebval_ln_tau_and_der2(T, Tc, coeffs, der_coeffs, der2_coeffs, offset, scale): if T >= Tc: return 0.0, 0.0, 0.0 lntau = log(1.0 - T/Tc) val = chebval(lntau, coeffs, offset, scale) poly_der = chebval(lntau, der_coeffs, offset, scale) poly_der2 = chebval(lntau, der2_coeffs, offset, scale) der = -poly_der/(Tc*(-T/Tc + 1)) der2 = (-poly_der + poly_der2)/(Tc**2*(T/Tc - 1)**2) return val, der, der2 def chebval_ln_tau_and_der3(T, Tc, coeffs, der_coeffs, der2_coeffs, der3_coeffs, offset, scale): if T >= Tc: return 0.0, 0.0, 0.0, 00 lntau = log(1.0 - T/Tc) val = chebval(lntau, coeffs, offset, scale) poly_der = chebval(lntau, der_coeffs, offset, scale) poly_der2 = chebval(lntau, der2_coeffs, offset, scale) poly_der3 = chebval(lntau, der3_coeffs, offset, scale) der = -poly_der/(Tc*(-T/Tc + 1)) der2 = (-poly_der + poly_der2)/(Tc**2*(T/Tc - 1)**2) der3 = (2.0*poly_der - 3.0*poly_der2 + poly_der3)/(Tc**3*(T/Tc - 1)**3) return val, der, der2, der3 def horner(coeffs, x): r'''Evaluates a polynomial defined by coefficienfs `coeffs` at a specified scalar `x` value, using the horner method. This is the most efficient formula to evaluate a polynomial (assuming non-zero coefficients for all terms). This has been added to the `fluids` library because of the need to frequently evaluate polynomials; and `NumPy`'s polyval is actually quite slow for scalar values. Note that the coefficients are reversed compared to the common form; the first value is the coefficient of the highest-powered x term, and the last value in `coeffs` is the constant offset value. Parameters ---------- coeffs : iterable[float] Coefficients of polynomial, [-] x : float Point at which to evaluate the polynomial, [-] Returns ------- val : float The evaluated value of the polynomial, [-] Notes ----- For maximum speed, provide a list of Python floats and `x` should also be of type `float` to avoid either `NumPy` types or slow python ints. Compare the speed with numpy via: >>> coeffs = np.random.uniform(0, 1, size=15) >>> coeffs_list = coeffs.tolist() %timeit np.polyval(coeffs, 10.0) `np.polyval` takes on the order of 15 us; `horner`, 1 us. Examples -------- >>> horner([1.0, 3.0], 2.0) 5.0 >>> horner([21.24288737657324, -31.326919865992743, 23.490607246508382, -14.318875366457021, 6.993092901276407, -2.6446094897570775, 0.7629439408284319, -0.16825320656035953, 0.02866101768198035, -0.0038190069303978003, 0.0004027586707189051, -3.394447111198843e-05, 2.302586717011523e-06, -1.2627393196517083e-07, 5.607585274731649e-09, -2.013760843818914e-10, 5.819957519561292e-12, -1.3414794055766234e-13, 2.430101267966631e-15, -3.381444175898971e-17, 3.4861255675373234e-19, -2.5070616549039004e-21, 1.122234904781319e-23, -2.3532795334141448e-26], 300.0) 1.9900667478569642e+58 References ---------- .. [1] "Horner’s Method." Wikipedia, October 6, 2018. https://en.wikipedia.org/w/index.php?title=Horner%27s_method&oldid=862709437. ''' tot = 0.0 for c in coeffs: tot = tot*x + c return tot def horner_and_der(coeffs, x): # Coefficients in same order as for horner f = 0.0 der = 0.0 for a in coeffs: der = x*der + f f = x*f + a return (f, der) def horner_and_der2(coeffs, x): # Coefficients in same order as for horner f, der, der2 = 0.0, 0.0, 0.0 for a in coeffs: der2 = x*der2 + der der = x*der + f f = x*f + a return (f, der, der2 + der2) def horner_and_der3(coeffs, x): # Coefficients in same order as for horner # Tested f, der, der2, der3 = 0.0, 0.0, 0.0, 0.0 for a in coeffs: der3 = x*der3 + der2 der2 = x*der2 + der der = x*der + f f = x*f + a return (f, der, der2 + der2, der3*6.0) def horner_and_der4(coeffs, x): # Coefficients in same order as for horner # Tested f, der, der2, der3, der4 = 0.0, 0.0, 0.0, 0.0, 0.0 for a in coeffs: der4 = x*der4 + der3 der3 = x*der3 + der2 der2 = x*der2 + der der = x*der + f f = x*f + a return (f, der, der2 + der2, der3*6.0, der4*24.0) def quadratic_from_points(x0, x1, x2, f0, f1, f2): ''' from sympy import * f, a, b, c, x, x0, x1, x2, f0, f1, f2 = symbols('f, a, b, c, x, x0, x1, x2, f0, f1, f2') func = a*x**2 + b*x + c Eq0 = Eq(func.subs(x, x0), f0) Eq1 = Eq(func.subs(x, x1), f1) Eq2 = Eq(func.subs(x, x2), f2) sln = solve([Eq0, Eq1, Eq2], [a, b, c]) cse([sln[a], sln[b], sln[c]], optimizations='basic', symbols=utilities.iterables.numbered_symbols(prefix='v')) ''' v0 = -x2 v1 = f0*(v0 + x1) v2 = f2*(x0 - x1) v3 = f1*(v0 + x0) v4 = x2*x2 v5 = x0*x0 v6 = x1*x1 v7 = 1.0/(v4*x0 + v5*x1 + v6*x2 - (v4*x1 + v5*x2 + v6*x0)) v8 = -v4 a = v7*(v1 + v2 - v3) b = -v7*(f0*(v6 + v8) - f1*(v5 + v8) + f2*(v5 - v6)) c = v7*(v1*x1*x2 + v2*x0*x1 - v3*x0*x2) return (a, b, c) def quadratic_from_f_ders(x, v, d1, d2): '''from sympy import * f, a, b, c, x, v, d1, d2 = symbols('f, a, b, c, x, v, d1, d2') f0 = a*x**2 + b*x + c f1 = diff(f0, x) f2 = diff(f0, x, 2) solve([Eq(f0, v), Eq(f1, d1), Eq(f2, d2)], [a, b, c]) ''' a = d2*0.5 b = d1 - d2*x c = -d1*x + d2*x*x*0.5 + v return [a, b, c] def is_poly_positive(poly, domain=None, rand_pts=10, j_tol=1e-12, root_perturb=1e-12): # Returns True if positive everywhere in the specified domain (or globally) if domain is None: # 1e-100 to 1e100 pts = logspace(-100, 100, rand_pts//2) pts += [-i for i in pts] else: pts = linspace(domain[0], domain[1], rand_pts) for p in pts: if horner(poly, p) < 0.0: return False roots = np.roots(poly) for root in roots: r = root.real if abs(root.imag/r) < j_tol: if (domain is not None) and (r < domain[0] or r > domain[1]): continue eps_high, eps_low = r*(1.0 + root_perturb), r*(1.0 - root_perturb) if horner(poly, eps_high) < 0: return False if horner(poly, eps_low) < 0: return False return True def is_poly_negative(poly, domain=None, rand_pts=10, j_tol=1e-12, root_perturb=1e-12): # Returns True if negative everywhere in the specified domain (or globally) poly = [-i for i in poly]# Changes the sign of all polynomial calculated values return is_poly_positive(poly, domain=domain, rand_pts=rand_pts, j_tol=j_tol, root_perturb=root_perturb) def min_max_ratios(actual, calculated): '''Given known and calculated data, compare the two and provide two numbers describing how far away from the known data the calculated data is. The numbers are the ratio of the lowest relative calc, and the highest relative calc. ''' min_ratio = max_ratio = 1.0 for i in range(len(actual)): if actual[i] == 0.0: r = 1.0 if calculated[i] == actual[i] else 10.0 else: r = calculated[i]/actual[i] if r < min_ratio: min_ratio = r elif r > max_ratio: max_ratio = r return min_ratio, max_ratio def std(data): '''Fast implementation of numpy's std function for 1d inputs only, with double precision only always. ''' tot = 0.0 N = len(data) for i in range(N): tot += data[i] mean = tot/N tot = 0.0 for i in range(N): v = (data[i] - mean) tot += v*v return sqrt(tot/N) def polyder(c, m=1, scl=1, axis=0): """not quite a copy of numpy's version because this was faster to implement.""" cnt = m if cnt == 0: return c n = len(c) if cnt >= n: c = c[:1]*0 else: for i in range(cnt): # normally only happens once n = n - 1 der = [0.0]*n for j in range(n, 0, -1): der[j - 1] = j*c[j] c = der return c def polyint(coeffs): """not quite a copy of numpy's version because this was faster to implement. Tried out a bunch of optimizations, and this hits a good balance between CPython and pypy speed.""" # return ([0.0] + [c/(i+1) for i, c in enumerate(coeffs[::-1])])[::-1] N = len(coeffs) out = [0.0]*(N+1) for i in range(N): out[i] = coeffs[i]/(N-i) return out def polyint_over_x(coeffs): N = len(coeffs) log_coef = coeffs[-1] Nm1 = N - 1 poly_terms = [0.0]*N for i in range(Nm1): poly_terms[i] = coeffs[i]/(Nm1-i) return poly_terms, log_coef # N = len(coeffs) # log_coef = coeffs[-1] # Nm1 = N - 1 # poly_terms = [coeffs[Nm1-i]/i for i in range(N-1, 0, -1)] # poly_terms.append(0.0) # return poly_terms, log_coef # coeffs = coeffs[::-1] # log_coef = coeffs[0] # poly_terms = [0.0] # for i in range(1, len(coeffs)): # poly_terms.append(coeffs[i]/i) # return list(reversed(poly_terms)), log_coef # def horner_log(coeffs, log_coeff, x): """Technically possible to save one addition of the last term of coeffs is removed but benchmarks said nothing was saved.""" tot = 0.0 for c in coeffs: tot = tot*x + c return tot + log_coeff*log(x) def fit_integral_linear_extrapolation(T1, T2, int_coeffs, Tmin, Tmax, Tmin_value, Tmax_value, Tmin_slope, Tmax_slope): # Order T1, T2 so T2 is always larger for simplicity flip = T1 > T2 if flip: T1, T2 = T2, T1 tot = 0.0 if T1 < Tmin: T2_low = T2 if T2 < Tmin else Tmin x1 = Tmin_value - Tmin_slope*Tmin tot += T2_low*(0.5*Tmin_slope*T2_low + x1) - T1*(0.5*Tmin_slope*T1 + x1) if (Tmin <= T1 <= Tmax) or (Tmin <= T2 <= Tmax) or (T1 <= Tmin and T2 >= Tmax): T1_mid = T1 if T1 > Tmin else Tmin T2_mid = T2 if T2 < Tmax else Tmax tot += (horner(int_coeffs, T2_mid) - horner(int_coeffs, T1_mid)) if T2 > Tmax: T1_high = T1 if T1 > Tmax else Tmax x1 = Tmax_value - Tmax_slope*Tmax tot += T2*(0.5*Tmax_slope*T2 + x1) - T1_high*(0.5*Tmax_slope*T1_high + x1) if flip: return -tot return tot def poly_fit_integral_value(T, int_coeffs, Tmin, Tmax, Tmin_value, Tmax_value, Tmin_slope, Tmax_slope): # Can still save 1 horner evaluation (all of them for height T), but will be VERY messy. if T < Tmin: x1 = Tmin_value - Tmin_slope*Tmin tot = T*(0.5*Tmin_slope*T + x1) return tot if (Tmin <= T <= Tmax): tot1 = horner(int_coeffs, T) - horner(int_coeffs, Tmin) x1 = Tmin_value - Tmin_slope*Tmin tot = Tmin*(0.5*Tmin_slope*Tmin + x1) return tot + tot1 else: x1 = Tmin_value - Tmin_slope*Tmin tot = Tmin*(0.5*Tmin_slope*Tmin + x1) tot1 = horner(int_coeffs, Tmax) - horner(int_coeffs, Tmin) x1 = Tmax_value - Tmax_slope*Tmax tot2 = T*(0.5*Tmax_slope*T + x1) - Tmax*(0.5*Tmax_slope*Tmax + x1) return tot1 + tot + tot2 def fit_integral_over_T_linear_extrapolation(T1, T2, T_int_T_coeffs, poly_fit_log_coeff, Tmin, Tmax, Tmin_value, Tmax_value, Tmin_slope, Tmax_slope): # Order T1, T2 so T2 is always larger for simplicity flip = T1 > T2 if flip: T1, T2 = T2, T1 tot = 0.0 if T1 < Tmin: T2_low = T2 if T2 < Tmin else Tmin x1 = Tmin_value - Tmin_slope*Tmin tot += (Tmin_slope*T2_low + x1*log(T2_low)) - (Tmin_slope*T1 + x1*log(T1)) if (Tmin <= T1 <= Tmax) or (Tmin <= T2 <= Tmax) or (T1 <= Tmin and T2 >= Tmax): T1_mid = T1 if T1 > Tmin else Tmin T2_mid = T2 if T2 < Tmax else Tmax tot += (horner_log(T_int_T_coeffs, poly_fit_log_coeff, T2_mid) - horner_log(T_int_T_coeffs, poly_fit_log_coeff, T1_mid)) if T2 > Tmax: T1_high = T1 if T1 > Tmax else Tmax x1 = Tmax_value - Tmax_slope*Tmax tot += (Tmax_slope*T2 + x1*log(T2)) - (Tmax_slope*T1_high + x1*log(T1_high)) if flip: return -tot return tot def poly_fit_integral_over_T_value(T, T_int_T_coeffs, poly_fit_log_coeff, Tmin, Tmax, Tmin_value, Tmax_value, Tmin_slope, Tmax_slope): if T < Tmin: x1 = Tmin_value - Tmin_slope*Tmin tot = (Tmin_slope*T + x1*log(T)) return tot if (Tmin <= T <= Tmax): tot1 = (horner_log(T_int_T_coeffs, poly_fit_log_coeff, T) - horner_log(T_int_T_coeffs, poly_fit_log_coeff, Tmin)) x1 = Tmin_value - Tmin_slope*Tmin tot = (Tmin_slope*Tmin + x1*log(Tmin)) return tot + tot1 else: x1 = Tmin_value - Tmin_slope*Tmin tot = (Tmin_slope*Tmin + x1*log(Tmin)) tot1 = (horner_log(T_int_T_coeffs, poly_fit_log_coeff, Tmax) - horner_log(T_int_T_coeffs, poly_fit_log_coeff, Tmin)) x2 = Tmax_value -Tmax*Tmax_slope tot2 = (-Tmax_slope*(Tmax - T) + x2*log(T) - x2*log(Tmax)) return tot1 + tot + tot2 def evaluate_linear_fits(data, x): calc = [] low_limits, high_limits, coeffs = data[0], data[3], data[6] for i in range(len(data[0])): if x < low_limits[i]: v = (x - low_limits[i])*data[1][i] + data[2][i] elif x > high_limits[i]: v = (x - high_limits[i])*data[4][i] + data[5][i] else: v = 0.0 for c in coeffs[i]: v = v*x + c # v = horner(coeffs[i], x) calc.append(v) return calc def evaluate_linear_fits_d(data, x): calc = [] low_limits, high_limits, dcoeffs = data[0], data[3], data[7] for i in range(len(data[0])): if x < low_limits[i]: dv = data[1][i] elif x > high_limits[i]: dv = data[4][i] else: dv = 0.0 for c in dcoeffs[i]: dv = dv*x + c calc.append(dv) return calc def evaluate_linear_fits_d2(data, x): calc = [] low_limits, high_limits, d2coeffs = data[0], data[3], data[8] for i in range(len(data[0])): d2v = 0.0 if low_limits[i] < x < high_limits[i]: for c in d2coeffs[i]: d2v = d2v*x + c calc.append(d2v) return calc def chebval(x, c, offset=0.0, scale=1.0): # Pure Python implementation of numpy.polynomial.chebyshev.chebval # This routine is faster in CPython as well as PyPy # Approxximately 2 adds and a multiply per coefficient x = offset + scale*x len_c = len(c) if len_c == 1: c0, c1 = c[0], 0.0 elif len_c == 2: c0, c1 = c[0], c[1] else: x2 = 2.0*x c0, c1 = c[-2], c[-1] for i in range(3, len_c + 1): c0_prev = c0 c0 = c[-i] - c1 c1 = c0_prev + c1*x2 return c0 + c1*x def chebder(c, m=1, scl=1.0): """not quite a copy of numpy's version because this was faster to implement. This does not evaluate the value of a cheb series at a point; it returns a new chebyshev seriese to be evaluated by chebval. """ c = list(c) cnt = int(m) if cnt == 0: return c n = len(c) if cnt >= n: c = [] else: for i in range(cnt): n = n - 1 if scl != 1.0: for j in range(len(c)): c[j] *= scl der = [0.0 for _ in range(n)] for j in range(n, 2, -1): der[j - 1] = (j + j)*c[j] c[j - 2] += (j*c[j])/(j - 2.0) if n > 1: der[1] = 4.0*c[2] der[0] = c[1] c = der return c def chebint(c, m=1, lbnd=0, scl=1): # k=[], is used by numpy to provide integration constants cnt = int(m) # the order of integration if cnt < 0: raise ValueError("Negative integration error not allowed") # if len(k) > cnt: # raise ValueError("Size of integration constants not consistent with order of integration") if cnt == 0: return c # k = list(k) + [0]*(cnt - len(k)) n = len(c) c2 = [0.0]*n # Make a copy of c for i in range(n): c2[i] = c[i] c = c2 for i in range(cnt): n = len(c) for o in range(n): c[o] *= scl if n == 1 and c[0] == 0: pass # c[0] += k[i] else: tmp = [0.0]*(n+1) tmp[1] = c[0] if n > 1: tmp[2] = c[1]/4 for j in range(2, n): cval = c[j] tmp[j + 1] = cval/(2.0*(j + 1.0)) tmp[j - 1] -= cval/(2.0*(j - 1.0)) # Scale is handled separately # tmp[0] += k[i] - chebval(lbnd, tmp) tmp[0] -= chebval(lbnd, tmp) c = tmp return c def binary_search(key, arr, size=None): if size is None: size = len(arr) imin = 0 imax = size if key > arr[size - 1]: return size while imin < imax: imid = imin + ((imax - imin) >> 1) if key >= arr[imid]: imin = imid + 1 else: imax = imid return imin - 1 def isclose(a, b, rel_tol=1e-9, abs_tol=0.0): """Pure python and therefore slow version of the standard library isclose. Works on older versions of python though! Hasn't been unit tested, but has been tested. manual unit testing: from math import isclose as isclose2 from random import uniform for i in range(10000000): a = uniform(-1, 1) b = uniform(-1, 1) rel_tol = uniform(0, 1) abs_tol = uniform(0, .001) ans1 = isclose(a, b, rel_tol, abs_tol) ans2 = isclose2(a, b, rel_tol=rel_tol, abs_tol=abs_tol) try: assert ans1 == ans2 except: print(a, b, rel_tol, abs_tol) """ if (rel_tol < 0.0 or abs_tol < 0.0 ): raise ValueError('Negative tolerances') if ((a.real == b.real) and (a.imag == b.imag)): return True if (isinf(a.real) or isinf(a.imag) or isinf(b.real) or isinf(b.imag)): return False diff = abs(a - b) return (((diff <= rel_tol*abs(b)) or (diff <= rel_tol*abs(a))) or (diff <= abs_tol)) try: from math import isclose except ImportError: pass def assert_close(a, b, rtol=1e-7, atol=0.0): if a is b: # Nice to handle None return True if __debug__: # Do not run these branches in -O, -OO mode try: try: assert isclose(a, b, rel_tol=rtol, abs_tol=atol) return except: assert cisclose(a, b, rel_tol=rtol, abs_tol=atol) return except: pass from numpy.testing import assert_allclose return assert_allclose(a, b, rtol=rtol, atol=atol) def assert_close1d(a, b, rtol=1e-7, atol=0.0): N = len(a) if N != len(b): raise ValueError("Variables are not the same length: %d, %d" %(N, len(b))) for i in range(N): assert_close(a[i], b[i], rtol=rtol, atol=atol) def assert_close2d(a, b, rtol=1e-7, atol=0.0): # N = len(a) # if N != len(b): # raise ValueError("Variables are not the same length: %d, %d" %(N, len(b))) # for i in range(N): # assert_close1d(a[i], b[i], rtol=rtol, atol=atol) N = len(a) if N != len(b): raise ValueError("Variables are not the same length: %d, %d" %(N, len(b))) if not __debug__: # Do not run these branches in -O, -OO mode from numpy.testing import assert_allclose return assert_allclose(a, b, rtol=rtol, atol=atol) for i in range(N): a0, b0 = a[i], b[i] N0 = len(a0) if N0 != len(b0): raise ValueError("Variables are not the same length: %d, %d" %(N0, len(b0))) for j in range(N0): # assert_close(a0[j], b0[j], rtol=rtol, atol=atol) good = True a1, b1 = a0[j], b0[j] if a1 is b1: # Nice to handle None pass else: try: try: good = isclose(a1, b1, rel_tol=rtol, abs_tol=atol) except: good = cisclose(a1, b1, rel_tol=rtol, abs_tol=atol) except: pass if not good: from numpy.testing import assert_allclose return assert_allclose(a1, b1, rtol=rtol, atol=atol) def assert_close3d(a, b, rtol=1e-7, atol=0.0): N = len(a) if N != len(b): raise ValueError("Variables are not the same length: %d, %d" %(N, len(b))) for i in range(N): assert_close2d(a[i], b[i], rtol=rtol, atol=atol) def assert_close4d(a, b, rtol=1e-7, atol=0.0): N = len(a) if N != len(b): raise ValueError("Variables are not the same length: %d, %d" %(N, len(b))) # for i in range(N): # assert_close3d(a[i], b[i], rtol=rtol, atol=atol) for i in range(N): a0, b0 = a[i], b[i] N0 = len(a0) if N0 != len(b0): raise ValueError("Variables are not the same length: %d, %d" %(N0, len(b0))) for j in range(N0): assert_close2d(a0[j], b0[j], rtol=rtol, atol=atol) def zeros(shape, dtype=float, fill_value=0.0): if dtype is float: zero = float(fill_value) elif dtype is int: zero = int(fill_value) else: raise ValueError("dtype is not supported") t = type(shape) if t is int: return [zero]*shape if t is tuple: l = len(shape) if l == 1: return [zero]*shape[0] elif l == 2: s1 = shape[1] return [[zero]*s1 for _ in range(shape[0])] elif l == 3: s1 = shape[1] s2 = shape[2] return [[[zero]*s2 for _ in range(s1)] for _ in range(shape[0])] elif l == 4: s1 = shape[1] s2 = shape[2] s3 = shape[3] return [[[[zero]*s3 for _ in range(s2)] for _ in range(s1)] for _ in range(shape[0])] raise ValueError("Shape not implemented") def full(shape, fill_value, dtype=float): return zeros(shape, dtype, fill_value) def interp(x, dx, dy, left=None, right=None, extrapolate=False): """One-dimensional linear interpolation routine inspired/ reimplemented from NumPy for extra speed for scalar values (and also numpy). Returns the one-dimensional piecewise linear interpolant to a function with a given value at discrete data-points. Parameters ---------- x : float X-coordinate of the interpolated values, [-] dx : list[float] X-coordinates of the data points, must be increasing, [-] dy : list[float] Y-coordinates of the data points; same length as `dx`, [-] left : float, optional Value to return for `x < dx[0]`, default is `dy[0]`, [-] right : float, optional Value to return for `x > dx[-1]`, default is `dy[-1]`, [-] extrapolate : bool, optional If True, for the cases of `left` and/or `right` not given, a linear extrapolation will be performed outside of bounds, [-] Returns ------- y : float The interpolated value, [-] Notes ----- This function is "unsafe" in that it assumes the x-coordinates are increasing. It also does not check for nan's, that `dx` and `dy` are the same length, and that `x` is scalar. Performance is 40-50% of that of NumPy under CPython. Examples -------- >>> interp(2.5, [1, 2, 3], [3, 2, 0]) 1.0 """ lendx = len(dx) j = binary_search(x, dx, lendx) if (j == -1): if left is not None: return left elif extrapolate: j = 0 return (dy[j + 1] - dy[j])/(dx[j + 1] - dx[j])*(x - dx[j]) + dy[j] else: return dy[0] elif (j == lendx - 1): return dy[j] elif (j == lendx): if right is not None: return right elif extrapolate: j = -2 return (dy[j + 1] - dy[j])/(dx[j + 1] - dx[j])*(x - dx[j]) + dy[j] else: return dy[-1] else: return (dy[j + 1] - dy[j])/(dx[j + 1] - dx[j])*(x - dx[j]) + dy[j] def interp2d_linear(x, y, xs, ys, vals): # Same as RectBivariateSpline, s=0, kx=1, ky=1 (and better performance) if y < ys[0]: i0, i1 = 0, 1 y_dat = ys[i0], ys[i1] elif y > ys[-1]: i0, i1 = -2, -1 else: for i in range(len(ys)): if ys[i] >= y: i0, i1 = i-1, i break y_low, y_high = ys[i0], ys[i1] v_low = interp(x, xs, vals[i0], extrapolate=True) v_high = interp(x, xs, vals[i1], extrapolate=True) return v_low + (y-y_low)/(y_high-y_low)*(v_high-v_low) try: _array = np.array Polynomial = np.polynomial.Polynomial except: pass def implementation_optimize_tck(tck, force_numpy=False): """Converts 1-d or 2-d splines calculated with SciPy's `splrep` or. `bisplrep` to a format for fastest computation - lists in PyPy, and numpy arrays otherwise. Only implemented for 3 and 5 length `tck`s. """ if IS_PYPY_OR_SKIP_DEPENDENCIES and not force_numpy: return tuple(tck) else: size = len(tck) if size == 3: return (_array(tck[0]), _array(tck[1]), tck[2]) elif size == 5: return (_array(tck[0]), _array(tck[1]), _array(tck[2]), tck[3], tck[4]) else: raise NotImplementedError def tck_interp2d_linear(x, y, z, kx=1, ky=1): if kx != 1 or ky != 1: raise ValueError("Only linear formulations are currently implemented") # copy is not a method of lists in python 2 x = list(x) x.insert(0, x[0]) x.append(x[-1]) y = list(y) y.insert(0, y[0]) y.append(y[-1]) # c needs to be transposed, and made 1d c = [z[j][i] for i in range(len(z[0])) for j in range(len(z))] tck = [x, y, c, 1, 1] return implementation_optimize_tck(tck) def caching_decorator(f, full=False): from functools import wraps cache = {} info_cache = {} wraps = my_wraps() @wraps(f) def wrapper(x, *args, **kwargs): has_info = 'info' in kwargs if x in cache: if 'info' in kwargs: kwargs['info'][:] = info_cache[x] return cache[x] err = f(x, *args, **kwargs) cache[x] = err if has_info: info_cache[x] = list(kwargs['info']) return err if full: return wrapper, cache, info_cache return wrapper def translate_bound_func(func, bounds=None, low=None, high=None): if bounds is not None: low = [i[0] for i in bounds] high = [i[1] for i in bounds] def new_f(x, *args, **kwargs): """Function for a solver to call when using the bounded variables.""" x = [float(i) for i in x] for i in range(len(x)): x[i] = (low[i] + (high[i] - low[i])/(1.0 + exp(-x[i]))) # Return the actual results return func(x, *args, **kwargs) def translate_into(x): x = [float(i) for i in x] for i in range(len(x)): x[i] = -log((high[i] - x[i])/(x[i] - low[i])) return x def translate_outof(x): x = [float(i) for i in x] for i in range(len(x)): x[i] = (low[i] + (high[i] - low[i])/(1.0 + exp(-x[i]))) return x return new_f, translate_into, translate_outof def translate_bound_jac(jac, bounds=None, low=None, high=None): if bounds is not None: low = [i[0] for i in bounds] high = [i[1] for i in bounds] def new_j(x): x_base = [float(i) for i in x] N = len(x) for i in range(N): x_base[i] = (low[i] + (high[i] - low[i])/(1.0 + exp(-x[i]))) jac_base = jac(x_base) try: jac_base = [i for i in jac_base] for i in range(N): v = (high[i] - low[i])*exp(-x[i])*jac_base[i] v *= (1.0 + exp(-x[i]))**-2 jac_base[i] = v return jac_base except: raise NotImplementedError("Fail") def translate_into(x): x = [float(i) for i in x] for i in range(len(x)): x[i] = -log((high[i] - x[i])/(x[i] - low[i])) return x def translate_outof(x): x = [float(i) for i in x] for i in range(len(x)): x[i] = (low[i] + (high[i] - low[i])/(1.0 + exp(-x[i]))) return x return new_j, translate_into, translate_outof def translate_bound_f_jac(f, jac, bounds=None, low=None, high=None, inplace_jac=False, as_np=False): if bounds is not None: low = [i[0] for i in bounds] high = [i[1] for i in bounds] exp_terms = [0.0]*len(low) def new_f_j(x, *args): x_base = [i for i in x] N = len(x) for i in range(N): exp_terms[i] = ei = trunc_exp(-x[i]) x_base[i] = (low[i] + (high[i] - low[i])/(1.0 + ei)) if jac is True: f_base, jac_base = f(x_base, *args) else: f_base = f(x_base, *args) jac_base = jac(x_base, *args) try: if type(jac_base[0]) is list or (isinstance(jac_base, np.ndarray) and len(jac_base.shape) == 2): if not inplace_jac: jac_base = [[j for j in i] for i in jac_base] for i in range(len(jac_base)): for j in range(len(jac_base[i])): # Checked numerically t = (1.0 + exp_terms[j]) jac_base[i][j] = (high[j] - low[j])*exp_terms[j]*jac_base[i][j]/(t*t) else: if not inplace_jac: jac_base = [i for i in jac_base] for i in range(N): t = (1.0 + exp_terms[i]) jac_base[i] = (high[i] - low[i])*exp_terms[i]*jac_base[i]/(t*t) if as_np: jac_base = np.array(jac_base) return f_base, jac_base except: raise NotImplementedError("Fail") def translate_into(x): #x = [float(i) for i in x] for i in range(len(x)): x[i] = -trunc_log((high[i] - x[i])/(x[i] - low[i])) return x def translate_outof(x): #x = [float(i) for i in x] for i in range(len(x)): x[i] = (low[i] + (high[i] - low[i])/(1.0 + trunc_exp(-x[i]))) return x return new_f_j, translate_into, translate_outof class OscillationError(Exception): """Error raised when a derivative-based method is not converging.""" class UnconvergedError(Exception): """Error raised when maxiter has been reached in an optimization problem.""" def __repr__(self): return ('UnconvergedError("Failed to converge; maxiter (%d) reached, value=%g, error %g)"' %(self.maxiter, self.point, self.err)) def __init__(self, message, iterations=None, err=None, point=None): super(UnconvergedError, self).__init__(message) self.point = point self.iterations = iterations self.err = err class SamePointError(UnconvergedError): """Error raised when two trial points in a root finding problem have the same error.""" def __repr__(self): return 'TODO' def __init__(self, message, iterations=None, err=None, q1=None, p1=None, q0=None, p0=None): super(UnconvergedError, self).__init__(message) self.q1 = q1 self.p1 = p1 self.q0 = q0 self.p0 = p0 self.iterations = iterations self.err = err class NoSolutionError(Exception): """Error raised when detected that there is no actual solution to a problem.""" class NotBoundedError(Exception): """Error raised when a bisection type algorithm fails because its initial bounds do not bound the solution.""" class DiscontinuityError(Exception): """Error raised when a bisection type algorithm fails because there is a discontinuity.""" def damping_maintain_sign(x, step, damping=1.0, factor=0.5): """Damping function which will maintain the sign of the variable being manipulated. If the step puts it at the other sign, the distance between `x` and `step` will be shortened by the multiple of `factor`; i.e. if factor is `x`, the new value of `x` will be 0 exactly. The provided `damping` is applied as well. Parameters ---------- x : float Previous value in iteration, [-] step : float Change in `x`, [-] damping : float, optional The damping factor to be applied always, [-] factor : float, optional If the calculated step changes sign, this factor will be used instead of the step, [-] Returns ------- x_new : float The new value in the iteration, [-] Notes ----- Examples -------- >>> damping_maintain_sign(100, -200, factor=.5) 50.0 """ if isinstance(x, list): return [damping_maintain_sign(x[i], step[i], damping, factor) for i in range(len(x))] positive = x > 0.0 step_x = x + step if (positive and step_x < 0) or (not positive and step_x > 0.0): # print('damping') step = -factor*x return x + step*damping def make_damp_initial(steps=5, damping=1.0, *args): steps_holder = [steps] def damping_func(x, step, damping=damping, *args): if steps_holder[0] <= 0: # Do not dampen at all if isinstance(x, list): return [xi + dxi for xi, dxi in zip(x, step)] return x + step else: steps_holder[0] -= 1 if isinstance(x, list): return [xi + dxi*damping for xi, dxi in zip(x, step)] return x + step*damping return damping_func def make_max_step_initial(max_step, steps=5, *args): steps_holder = [steps] def damping_func(x, step, *args): if steps_holder[0] <= 0: # Do not dampen at all if isinstance(x, list): return [xi + dxi for xi, dxi in zip(x, step)] return x + step else: steps_holder[0] -= 1 if isinstance(x, list): next = [] for i in range(len(x)): the_step = step[i] if abs(the_step) > max_step: next.append(x[i] + copysign(max_step[i], the_step)) else: next.append(x[i] + the_step) return next the_step = step if abs(the_step) > max_step: return x + copysign(max_step, the_step) return x + the_step return damping_func def oscillation_checking_wrapper(f, minimum_progress=0.3, both_sides=False, full=True, good_err=None): checker = oscillation_checker(minimum_progress=minimum_progress, both_sides=both_sides, good_err=good_err) wraps = my_wraps() @wraps(f) def wrapper(x, *args, **kwargs): err_test = err = f(x, *args, **kwargs) if not isinstance(err, (float, int, complex)): err_test = err[0] try: oscillating = checker(x, err_test) except: oscillating = False # Zero division error probably if oscillating: raise OscillationError("Oscillating") return err if full: return wrapper, checker return wrapper class oscillation_checker(object): def __init__(self, minimum_progress=0.3, both_sides=False, good_err=None): self.minimum_progress = minimum_progress self.both_sides = both_sides self.xs_neg = [] self.xs_pos = [] self.ys_neg = [] self.ys_pos = [] # Provide a number that if the error is under this, no longer be able to return False # For example, near phase boundaries newton could be bisecting as it overshoots # each step, but is still converging fine self.good_err = good_err def clear(self): self.xs_neg = [] self.xs_pos = [] self.ys_neg = [] self.ys_pos = [] def is_solve_oscilating(self, x, y): if y == 0.0: return False xs_neg, xs_pos, ys_neg, ys_pos = self.xs_neg, self.xs_pos, self.ys_neg, self.ys_pos minimum_progress = self.minimum_progress if y < 0.0: xs_neg.append(x) ys_neg.append(y) else: xs_pos.append(x) ys_pos.append(y) if len(xs_pos) > 1 and len(xs_neg) > 1: if y < 0: dy_cur = y - ys_neg[-2] dy_other = ys_pos[-1] - ys_pos[-2] gain_neg = abs(dy_cur/y) gain_pos = abs(dy_other/ys_pos[-1]) else: dy_cur = y - ys_pos[-2] dy_other = ys_neg[-1] - ys_neg[-2] gain_pos = abs(dy_cur/y) gain_neg = abs(dy_other/ys_neg[-1]) # print(gain_pos, gain_neg, y) if self.both_sides: if gain_pos < minimum_progress and gain_neg < minimum_progress: if self.good_err is not None and min(abs(ys_neg[-1]), abs(ys_pos[-1])) < self.good_err: return False return True else: if gain_pos < minimum_progress or gain_neg < minimum_progress: if self.good_err is not None and min(abs(ys_neg[-1]), abs(ys_pos[-1])) < self.good_err: return False return True return False __call__ = is_solve_oscilating def best_bounding_bounds(low, high, f=None, xs_pos=None, ys_pos=None, xs_neg=None, ys_neg=None, fa=None, fb=None): r'''Given: 1) A presumed bracketing interval such as very far out limits on physical bounds 2) A history of a non-bounded search algorithm which did not converge Find the best bracketing points which get the algorithm as close to the solution as possible. Parameters ---------- low : float Low bracketing interval (`f` has opposite sign at `low` than `high`), [-] high : float High bracketing interval (`f` has opposite sign at `high` than `low`), [-] f : callable, optional 1D function to be solved, [-] xs_pos : list[float] Unsorted list of `x` values of points with positive `y` values previously evaluated, [-] ys_pos : list[float] Unsorted list of `y` values of points with positive `y` values previously evaluated, [-] xs_neg : list[float] Unsorted list of `x` values of points with negative `y` values previously evaluated, [-] ys_neg : list[float] Unsorted list of `y` values of points with negative `y` values previously evaluated, [-] fa : float, optional Value of function at `low`, used instead of recalculating if provided, [-] fb : float, optional Value of function at `high`, used instead of recalculating if provided, [-] Returns ------- low : float Low bracketing interval (`f` has opposite sign at `low` than `high`), [-] high : float High bracketing interval (`f` has opposite sign at `high` than `low`), [-] fa : float Value of function at `low`, [-] fb : float, optional Value of function at `high`, [-] Notes ----- Negative and/or positive history values can be omitted, but both the `x` and `y` lists should be skipped if so. More work could be done to handle better the case if the bounds not bracketing the root but the function history doing so. ''' if fa is None: fa = f(low) if fb is None: fb = f(high) if ys_pos: y_min_pos = min(ys_pos) x_min_pos = xs_pos[ys_pos.index(y_min_pos)] if fa > 0: if y_min_pos < fa: fa, low = y_min_pos, x_min_pos else: if y_min_pos < fb: fb, high = y_min_pos, x_min_pos if ys_neg: y_min_neg = max(ys_neg) x_min_neg = xs_neg[ys_neg.index(y_min_neg)] if fa < 0: if y_min_neg > fa: fa, low = y_min_neg, x_min_neg else: if y_min_pos > fb: fb, high = y_min_neg, x_min_neg if fa*fb > 0: raise ValueError("Bounds and previous history do not contain bracketing points") return low, high, fa, fb def bisect(f, a, b, args=(), xtol=1e-12, rtol=2.220446049250313e-16, maxiter=100, ytol=None): """Port of SciPy's C bisect routine.""" fa = f(a, *args) fb = f(b, *args) if fa*fb > 0.0: raise ValueError("f(a) and f(b) must have different signs") elif fa == 0.0: return a elif fb == 0.0: return b dm = b - a # iterations = 0.0 for i in range(maxiter): dm *= 0.5 xm = a + dm fm = f(xm, *args) if fm*fa >= 0.0: a = xm abs_dm = fabs(dm) if fm == 0.0: return xm elif ytol is not None: if (abs_dm < (xtol + rtol*abs_dm)) and abs(fm) < ytol: return xm elif (abs_dm < (xtol + rtol*abs_dm)): return xm # elif gap_detection: # dy_dx = abs((fm - fa)/(a-b)) # if dy_dx > dy_dx_limit: # raise DiscontinuityError("Discontinuity detected") raise UnconvergedError("Failed to converge after %d iterations" %maxiter) def ridder(f, a, b, args=(), xtol=_xtol, rtol=_rtol, maxiter=_iter, full_output=False, disp=True): a_abs, b_abs = fabs(a), fabs(b) tol = xtol + rtol*(a_abs if a_abs < b_abs else b_abs) fa = f(a, *args) fb = f(b, *args) if fa*fb > 0.0: raise ValueError("f(a) and f(b) must have different signs") elif fa == 0.0: return a elif fb == 0.0: return b for i in range(maxiter): dm = 0.5*(b - a) xm = a + dm fm = f(xm, *args) dn = copysign(1.0/sqrt(fm*fm - fa*fb), fb - fa)*fm*dm dn_abs, dm_abs_tol = fabs(dn), fabs(dm) - 0.5*tol xn = xm - copysign((dn_abs if dn_abs < dm_abs_tol else dm_abs_tol), dn) fn = f(xn, *args) if (fn*fm < 0.0): a = xn fa = fn b = xm fb = fm elif (fn*fa < 0.0): b = xn fb = fn else: a = xn fa = fn tol = xtol + rtol*xn if (fn == 0.0 or fabs(b - a) < tol): return xn raise UnconvergedError("Failed to converge after %d iterations" %maxiter) # numba: delete # raise UnconvergedError("Failed to converge") # numba: uncomment def brenth(f, xa, xb, args=(), xtol=1e-12, rtol=4.440892098500626e-16, maxiter=100, ytol=None, full_output=False, disp=True, q=False, fa=None, fb=None, kwargs={}): xpre = xa xcur = xb xblk = 0.0 fblk = 0.0 spre = 0.0 scur = 0.0 if fa is None: fpre = f(xpre, *args, **kwargs) else: fpre = fa if fb is None: fcur = f(xcur, *args, **kwargs) else: fcur = fb if fpre*fcur > 0.0: raise NotBoundedError("f(a) and f(b) must have different signs") elif fpre == 0.0: return xa elif fcur == 0.0: return xb for i in range(maxiter): if fpre*fcur < 0.0: xblk = xpre fblk = fpre spre = scur = xcur - xpre # Breaks a bunch of tests # if fpre == fcur: # raise UnconvergedError("Failed to converge - reached equal points after %d iterations" %i) if abs(fblk) < abs(fcur): xpre = xcur xcur = xblk xblk = xpre fpre = fcur fcur = fblk fblk = fpre delta = 0.5*(xtol + rtol*abs(xcur)) sbis = 0.5*(xblk - xcur) if ytol is not None: if fcur == 0.0 or (abs(sbis) < delta) and abs(fcur) < ytol: return xcur else: if fcur == 0.0 or (abs(sbis) < delta): return xcur if (abs(spre) > delta and abs(fcur) < abs(fpre)): if xpre == xblk: # interpolate stry = -fcur*(xcur - xpre)/(fcur - fpre) else: # extrapolate dpre = (fpre - fcur)/(xpre - xcur) dblk = (fblk - fcur)/(xblk - xcur) if q: stry = -fcur*(fblk*dblk - fpre*dpre)/(dblk*dpre*(fblk - fpre)) else: stry = -fcur*(fblk - fpre)/(fblk*dpre - fpre*dblk) if (abs(stry + stry) < min(abs(spre), 3.0*abs(sbis) - delta)): # accept step spre = scur scur = stry else: # bisect spre = sbis scur = sbis else: # bisect spre = sbis scur = sbis xpre = xcur fpre = fcur if abs(scur) > delta: xcur += scur else: if sbis > 0.0: xcur += delta else: xcur -= delta fcur = f(xcur, *args, **kwargs) raise UnconvergedError("Failed to converge after %d iterations" %maxiter) def secant(func, x0, args=(), maxiter=100, low=None, high=None, damping=1.0, xtol=1.48e-8, ytol=None, x1=None, require_eval=False, f0=None, f1=None, bisection=False, same_tol=1.0, kwargs={}, require_xtol=True): p0 = 1.0*x0 # Logic to take a small step to calculate the approximate derivative if x1 is not None: p1 = x1 else: if x0 >= 0.0: p1 = x0*1.0001 + 1e-4 else: p1 = x0*1.0001 - 1e-4 # May need to truncate p1 if low is not None and p1 < low: p1 = low if high is not None and p1 > high: p1 = high # Are we already converged on either point? Do not consider checking xtol # if so. if f0 is None: q0 = func(p0, *args, **kwargs) else: q0 = f0 if (ytol is not None and abs(q0) < ytol and not require_xtol) or q0 == 0.0: return p0 if f1 is None: q1 = func(p1, *args, **kwargs) else: q1 = f1 if (ytol is not None and abs(q1) < ytol and not require_xtol) or q1 == 0.0: return p1 if bisection: a, b = None, None if q1 < 0.0: a = p1 else: b = p1 if q0 < 0.0: a = p0 else: b = p0 for i in range(maxiter): # Calculate new point, and truncate if necessary if q1 != q0: p = p1 - q1*(p1 - p0)/(q1 - q0)*damping else: p = p1 if low is not None and p < low: p = low if high is not None and p > high: p = high # After computing new point if bisection and a is not None and b is not None: if not (a < p < b) or (b < p < a): p = 0.5*(a + b) # Check the exit conditions if ytol is not None and xtol is not None: # Meet both tolerance - new value is under ytol, and old value if abs(q1) < ytol and (not require_xtol or abs(p0 - p1) <= abs(xtol*p0)): # if abs(p0 - p1) <= abs(xtol*p0) and abs(q1) < ytol: if require_eval: return p1 return p elif xtol is not None: if abs(p0 - p1) <= abs(xtol*p0) and not (p0 == p1 and (p0 == low or p0 == high)): if require_eval: return p1 return p elif ytol is not None: if abs(q1) < ytol: if require_eval: return p1 return p # Check to quit after convergence check - may meet criteria if q1 == q0: # Are we close enough? Run the checks again if xtol is not None: xtol *= same_tol if ytol is not None: ytol *= same_tol if ytol is not None and xtol is not None: # Meet both tolerance - new value is under ytol, and old value if abs(p0 - p1) <= abs(xtol * p0) and abs(q1) < ytol: return p elif xtol is not None: if abs(p0 - p1) <= abs(xtol * p0) and not (p0 == p1 and (p0 == low or p0 == high)): return p elif ytol is not None: if abs(q1) < ytol: return p # Cannot proceed, raise an error raise SamePointError("Convergence failed - previous points are the same", q1=q1, p1=p1, q0=q0, p0=p0) # Swap the points around p0 = p1 q0 = q1 p1 = p q1 = func(p1, *args, **kwargs) if q1 == 0.0: return p1 if bisection: if q1 < 0.0: a = p1 else: b = p1 raise UnconvergedError("Failed to converge", iterations=i, point=p, err=q1) # start with 0.99 and try taking powers of two off of 1 line_search_factors = [] remove = 0.01 for i in range(7): line_search_factors.append(1-remove) remove*= 2 # once under 0.36, jump to 0.1 and go down by orders of magnitude to 1e-10 tmp = [] remove = 1e-10 for i in range(10): tmp.append(remove) remove *= 10 tmp.sort(reverse=True) line_search_factors.extend(tmp) line_search_factors_low_prec = line_search_factors[3:] newton_line_search_factors = [1.0] + line_search_factors newton_line_search_factors_disabled = [1.0] def one_sided_secant(f, x0, x_flat, args=tuple(), maxiter=100, xtol=1.48e-8, ytol=None, require_xtol=True, damping=1.0, x1=None, y_flat=None, max_quadratic_iter=7, low_prec_ls_iter=3, y0=None, y1=None, kwargs={}): if x1 is None: if x0 >= 0.0: x1 = x0*1.0001 + 1e-4 else: x1 = x0*1.0001 - 1e-4 if y0 is None: y0 = f(x0, *args, **kwargs) # print(f'Start point: x={x0}, y={y0}') if y1 is None: y1 = f(x1, *args, **kwargs) # print(f'Start point: x={x1}, y={y1}') flat_higher_than_x = x_flat > x0 # this is the flat value - all other y values that are flat must be this number # we only need to calculate it if not provided if y_flat is None: y_flat = f(x_flat, *args, **kwargs) if y0 == y_flat: raise ValueError("The initial y value is the same as the value in the zero-derivative region") if y0 == y1: raise ValueError("The initial points have the same value, cannot start the search") if y1 == y_flat: raise ValueError("The second point is also flat, cannot start the search") # store some other points for higher order steps x2 = x3 = y2 = y3 = None for i in range(maxiter): # # guess the new value based on the two points has_step = False if x2 is not None and i < max_quadratic_iter: try: # print('Points for quadratic', [x0, x1, x2], [y0, y1, y2]) a, b, c = quadratic_from_points(x0, x1, x2, y0, y1, y2) # print('Quadratic coefficients', (a, b, c)) sln = roots_quadratic(a, b, c) # print('Quadratic solutions', sln) if sln[0].imag == 0: if len(sln) == 2: a_step = (sln[0] - x1) another_step = (sln[1] - x1) # use the closest one if abs(a_step) < abs(another_step): # print('Using quadratic solution', sln[0]) step = a_step else: # print('Using quadratic solution', sln[1]) step = another_step else: # only got a single step # print('Using quadratic solution', sln[0]) step = (sln[0] - x1) has_step = True # print(f'Quadratic desired point: x={x1 + step}') except: # print('Quadratic had a numerical error') pass # secant can always work if not has_step: step = - y1*(x1 - x0)/(y1 - y0)*damping # print(f'Secant desired point: x={x1 + step}') force_line_search = x_flat <= (x1 + step) if flat_higher_than_x else x_flat >= (x1 + step) if not force_line_search: x = x1 + step y = f(x, *args, **kwargs) # print(f'Iteration: x={x}, y={y}, flat={y==y_flat}') if y == y_flat: x_flat = x else: pass # print(f'Secant desired point lower than flat point: x={x1 + step}, x_flat={x_flat}') if force_line_search or y == y_flat: # If the step is too big (overshoots the known flat point), recalculate it to be the limit if flat_higher_than_x: if x_flat <= (x0 + step): step = x_flat - x0 else: if x_flat >= (x0 + step): step = x_flat - x0 # Must use linesearch to find a x that gives a working y for line_search_factor in (line_search_factors if i > low_prec_ls_iter else line_search_factors_low_prec): x = x0 + step*line_search_factor y = f(x, *args, **kwargs) # print(f'Line search: x={x}, y={y}, flat={y==y_flat}, x_flat={x_flat}') if y != y_flat: break else: x_flat = x if y == y_flat: raise ValueError("The line search has finished and no point to continue with was found") # Check if we converged, but note this really requires a ytol as the xtol doesn't work well with lsearch if ytol is not None and xtol is not None: # Meet both tolerance - new value is under ytol, and old value if abs(y) < ytol and (abs(x - x0) <= abs(xtol*x)): return x elif xtol is not None: if abs(x - x0) <= abs(xtol*x): return x elif ytol is not None: if abs(y) < ytol: return x # change the points around, forgetting about one of the values x0, x1, x2, x3 = x, x0, x1, x2 y0, y1, y2, y3 = y, y0, y1, y2 raise UnconvergedError("Failed to converge", iterations=i, point=x, err=y) def halley_compat_numba(func, x, *args): a, b = func(x, *args) return a, b, 0.0 def newton(func, x0, fprime=None, args=(), tol=None, maxiter=100, fprime2=None, low=None, high=None, damping=1.0, ytol=None, xtol=1.48e-8, require_eval=False, damping_func=None, bisection=False, gap_detection=False, dy_dx_limit=1e100, max_bound_hits=4, kwargs={}): """Newton's method designed to be mostly compatible with SciPy's implementation, with a few features added and others now implemented. 1) No tracking of how many iterations have progressed. 2) No ability to return a RootResults object 3) No warnings on some cases of bad input (low tolerance, no iterations) 4) Ability to accept True for either fprime or fprime2, which means that they are included in the return value of func 5) No handling for inf or nan! 6) Special handling for functions which need to ensure an evaluation at the final point 7) Damping as a constant or a fraction 8) Ability to perform bisection, optionally specifying a maximum range 9) Ability to specify minimum and maximum iteration values 10) Ability to specify a tolerance in the `y` direction 11) Ability to pass in keyword arguments as well as positional arguments From scipy, with some modifications! https://github.com/scipy/scipy/blob/v1.1.0/scipy/optimize/zeros.py#L66-L206 """ if tol is not None: xtol = tol p0 = 1.0*x0 # p1 = p0 = 1.0*x0 # fval0 = None if bisection: a, b = None, None fa, fb = None, None fprime2_included = fprime2 == True fprime_included = fprime == True if fprime2_included: func2 = func hit_low, hit_high = 0, 0 for it in range(maxiter): # if fprime2_included: # numba: uncomment # fval, fder, fder2 = func(p0, *args) # numba: uncomment # else: # numba: uncomment # fval, fder = func(p0, *args) # numba: uncomment # fder2 = 0.0 # numba: uncomment if fprime2_included: # numba: DELETE fval, fder, fder2 = func2(p0, *args, **kwargs) # numba: DELETE elif fprime_included: # numba: DELETE fval, fder = func(p0, *args, **kwargs) elif fprime2 is not None: #numba: DELETE fval = func(p0, *args, **kwargs) #numba: DELETE fder = fprime(p0, *args, **kwargs) #numba: DELETE fder2 = fprime2(p0, *args, **kwargs) #numba: DELETE else: #numba: DELETE fval = func(p0, *args, **kwargs) #numba: DELETE fder = fprime(p0, *args, **kwargs) #numba: DELETE if fval == 0.0: return p0 # Cannot continue or already finished elif fder == 0.0: if ytol is None or abs(fval) < ytol: return p0 else: raise UnconvergedError("Derivative became zero; maxiter (%d) reached, value=%f " %(maxiter, p0)) if bisection: if fval < 0.0: a = p0 fa = fval else: b = p0 # b always has positive value of error fb = fval fder_inv = 1.0/fder # Compute the next point step = fval*fder_inv if damping_func is not None: if fprime2 is not None: step = step/(1.0 - 0.5*step*fder2*fder_inv) p = damping_func(p0, -step, damping) # variable, derivative, damping_factor elif fprime2 is None: p = p0 - step*damping else: p = p0 - step/(1.0 - 0.5*step*fder2*fder_inv)*damping if bisection and a is not None and b is not None: if (not (a < p < b) and not (b < p < a)): # if p < 0.0: # if p < a: # print('bisecting') p = 0.5*(a + b) # else: # if p > b: # p = 0.5*(a + b) if gap_detection: # Change in function value required to get goal in worst case dy_dx = abs((fa- fb)/(a-b)) if dy_dx > dy_dx_limit: #or dy_dx > abs(fder)*10: raise DiscontinuityError("Discontinuity detected") if low is not None and p < low: hit_low += 1 if p0 == low and hit_low > max_bound_hits: if abs(fval) < ytol: return low else: raise UnconvergedError("Failed to converge; maxiter (%d) reached, value=%f " % (maxiter, p)) # Stuck - not going to converge, hammering the boundary. Check ytol p = low if high is not None and p > high: hit_high += 1 if p0 == high and hit_high > max_bound_hits: if abs(fval) < ytol: return high else: raise UnconvergedError("Failed to converge; maxiter (%d) reached, value=%f " % (maxiter, p)) p = high # p0 is last point (fval at that point), p is new if ytol is not None and xtol is not None: # Meet both tolerance - new value is under ytol, and old value if abs(p - p0) < abs(xtol*p) and abs(fval) < ytol: if require_eval: return p0 return p elif xtol is not None: if abs(p - p0) < abs(xtol*p): if require_eval: return p0 return p elif ytol is not None: if abs(fval) < ytol: if require_eval: return p0 return p # fval0, fval1 = fval, fval0 # p0, p1 = p, p0 # need a history of fval also p0 = p # else: # return secant(func, x0, args=args, maxiter=maxiter, low=low, high=high, # damping=damping, # xtol=xtol, ytol=ytol, kwargs=kwargs) # raise UnconvergedError("Failed to converge; maxiter (%d) reached, value=%f " %(maxiter, p)) def halley(func, x0, args=(), maxiter=100, low=None, high=None, damping=1.0, ytol=None, xtol=1.48e-8, require_eval=False, damping_func=None, bisection=False, max_bound_hits=4, kwargs={}, max_2nd_ratio=1.5): p0 = 1.0*x0 if bisection: a, b = None, None fa, fb = None, None hit_low, hit_high = 0, 0 for it in range(maxiter): fval, fder, fder2 = func(p0, *args) if fval == 0.0: return p0 # Cannot continue or already finished elif fder == 0.0: if ytol is None or abs(fval) < ytol: return p0 else: raise UnconvergedError("Derivative became zero; maxiter (%d) reached, value=%f " %(maxiter, p0)) if bisection: if fval < 0.0: a = p0 fa = fval else: b = p0 # b always has positive value of error fb = fval fder_inv = 1.0/fder # Compute the next point step = fval*fder_inv skipped_halley = False if damping_func is not None: step = step/(1.0 - 0.5*step*fder2*fder_inv) p = damping_func(p0, -step, damping) else: step2 = step/(1.0 - 0.5*step*fder2*fder_inv)*damping if max_2nd_ratio is not None and abs(1.0-step2/step) > max_2nd_ratio: skipped_halley = True p = p0 - step else: p = p0 - step2 if bisection and a is not None and b is not None: if (not (a < p < b) and not (b < p < a)): p = 0.5*(a + b) if low is not None and p < low: hit_low += 1 if p0 == low and hit_low > max_bound_hits: if abs(fval) < ytol: return low else: raise UnconvergedError("Failed to converge; maxiter (%d) reached, value=%f " % (maxiter, p)) # Stuck - not going to converge, hammering the boundary. Check ytol p = low if high is not None and p > high: hit_high += 1 if p0 == high and hit_high > max_bound_hits: if abs(fval) < ytol: return high else: raise UnconvergedError("Failed to converge; maxiter (%d) reached, value=%f " % (maxiter, p)) p = high # p0 is last point (fval at that point), p is new if not skipped_halley: if ytol is not None and xtol is not None: # Meet both tolerance - new value is under ytol, and old value if abs(p - p0) < abs(xtol*p) and abs(fval) < ytol: if require_eval: return p0 return p elif xtol is not None: if abs(p - p0) < abs(xtol*p): if require_eval: return p0 return p elif ytol is not None: if abs(fval) < ytol: if require_eval: return p0 return p p0 = p raise UnconvergedError("Failed to converge; maxiter (%d) reached, value=%f " %(maxiter, p)) def newton_err(F): err = sum([abs(i) for i in F]) return err def basic_damping(x, dx, damping, *args): N = len(x) x2 = [0.0]*N for i in range(N): x2[i] = x[i] + dx[i]*damping return x2 def solve_2_direct(mat, vec): ab = mat[0] cd = mat[1] a, b = ab[0], ab[1] c, d = cd[0], cd[1] e, f = vec[0], vec[1] x0 = 1.0/(a*d - b*c) sln = [0.0]*2 sln[0] = x0*(-b*f + d*e) sln[1] = x0*(a*f - c*e) return sln def solve_3_direct(mat, vec): a, b, c = mat[0] d, e, f = mat[1] g, h, i = mat[2] j, k, l = vec x0 = a*e x1 = -b*d + x0 x2 = a*i - c*g x3 = a*f - c*d x4 = a*h - b*g x5 = x1*x2 - x3*x4 x6 = 1.0/x5 x7 = b*x3 - c*x1 x8 = 1.0/x1 x9 = d*x4 - g*x1 x10 = j*x8 x11 = a*k x12 = a*l ans = [0.0]*3 ans[0] = x6*(-k*x8*(b*x5 + x4*x7) + l*x7 + x10*(x0*x5 + x7*x9)/a) ans[1] = x6*(-x10*(d*x5 + x3*x9) + x11*x2 - x12*x3) ans[2] = x6*(j*x9 + x1*x12 - x11*x4) return ans def solve_4_direct(mat, vec): a, b, c, d = mat[0] e, f, g, h = mat[1] i, j, k, l = mat[2] m, n, o, p = mat[3] q, r, s, t = vec x0 = a*f x1 = -b*e + x0 x2 = x1*(a*k - c*i) x3 = a*g - c*e x4 = a*j - b*i x5 = x2 - x3*x4 x6 = a*h - d*e x7 = a*n - b*m x8 = x1*(a*p - d*m) - x6*x7 x9 = x1*(a*l - d*i) - x4*x6 x10 = x1*(a*o - c*m) - x3*x7 x11 = -x10*x9 + x5*x8 x12 = 1.0/x11 x13 = -b*x3 + c*x1 x14 = x13*x9 x15 = x5*(-b*x6 + d*x1) x16 = -x14 + x15 x17 = 1.0/x5 x18 = s*x17 x19 = x10*x4 - x5*x7 x20 = 1.0/x1 x21 = x17*x20 x22 = e*x4 - i*x1 x23 = x5*(e*x7 - m*x1) x24 = x10*x22 x25 = x23 - x24 x26 = q*x17 x27 = x20*x26 x28 = x3*x9 x29 = x5*x6 x30 = a*t x31 = -x28 + x29 x32 = a*r x33 = a*s*x1 x34 = x1*x30 x35 = -x23 + x24 ans = [0.0]*4 ans[0] = x12*(-r*x21*(-x11*(-b*x5 + x13*x4) + x16*x19) + t*(x14 - x15) - x18*(-x10*x16 + x11*x13) - x27*(-x11*(x0*x5 - x13*x22) + x16*x25)/a) ans[1] = x12*(-a*x18*(-x10*x31 + x11*x3) - x21*x32*(-x11*x2 + x19*x31) - x27*(x11*(e*x5 + x22*x3) + x25*x31) + x30*(x28 - x29)) ans[2] = x12*(-x17*x32*(x11*x4 + x19*x9) + x26*(x11*x22 + x35*x9) + x33*x8 - x34*x9) ans[3] = x12*(-q*x35 - x10*x33 + x19*x32 + x34*x5) return ans def newton_system(f, x0, jac, xtol=None, ytol=None, maxiter=100, damping=1.0, args=(), damping_func=None, solve_func=py_solve, line_search=False): # numba: delete # args=(), damping_func=None, solve_func=np.linalg.solve, line_search=False): # numba: uncomment jac_also = True if jac == True else False if jac_also: fcur, j = f(x0, *args) else: # numba: delete fcur = f(x0, *args) # numba: delete err0 = 0.0 for v in fcur: err0 += abs(v) if xtol is None and (ytol is not None and err0 < ytol): return x0, 0 else: x = x0 if not jac_also: # numba: delete j = jac(x, *args) # numba: delete factors = newton_line_search_factors if line_search else newton_line_search_factors_disabled iteration = 1 while iteration < maxiter: dx = solve_func(j, [-v for v in fcur]) # numba: delete # dx = solve_func(j, -fcur) # numba: uncomment for factor in factors: mult = factor*damping if damping_func is None: # xnew = x + dx*mult # numba: uncomment xnew = [xi + dxi*mult for xi, dxi in zip(x, dx)] # numba: delete else: xnew = damping_func(x, dx, damping*factor, *args) # try: if jac_also: fnew, jnew = f(xnew, *args) else: # numba: delete fnew = f(xnew, *args) # numba: delete # except: # print(f'Line search calculation with point failed') # continue err_new = 0.0 for v in fnew: err_new += abs(v) # print(f'Line search with error={err_new}, factor {mult}' ) if err_new < err0: break if line_search and err_new > err0: raise ValueError("Completed line search without reducing the objective function error, cannot proceed") fcur = fnew j = jnew err0 = err_new x = xnew iteration += 1 if xtol is not None: if (norm2(fcur) < xtol) and (ytol is None or err0 < ytol): break elif ytol is not None: if err0 < ytol: break if not jac_also: # numba: delete j = jac(x, *args) # numba: delete if xtol is not None and norm2(fcur) > xtol: raise UnconvergedError("Failed to converge") # raise UnconvergedError("Failed to converge; maxiter (%d) reached, value=%s" %(maxiter, x)) if ytol is not None: err0 = 0.0 for v in fcur: err0 += abs(v) if err0 > ytol: # raise UnconvergedError("Failed to converge; maxiter (%d) reached, value=%s" %(maxiter, x)) raise UnconvergedError("Failed to converge") return x, iteration def newton_minimize(f, x0, jac, hess, xtol=None, ytol=None, maxiter=100, damping=1.0, args=(), damping_func=None): jac_also = True if jac == True else False hess_also = True if hess == True else False def err(F): err = sum([abs(i) for i in F]) return err if hess_also: fcur, j, h = f(x0, *args) elif jac_also: fcur, j = f(x0, *args) h = hess(x0, *args) else: fcur = f(x0, *args) j = jac(x0, *args) h = hess(x0, *args) iter = 0 x = x0 while iter < maxiter: dx = py_solve(h, [-v for v in j]) if damping_func is None: x = [xi + dxi*damping for xi, dxi in zip(x, dx)] else: x = damping_func(x, dx, damping) if hess_also: fcur, j, h = f(x, *args) elif jac_also: fcur, j = f(x, *args) h = hess(x, *args) else: fcur = f(x, *args) j = jac(x, *args) h = hess(x, *args) iter += 1 if xtol is not None and norm2(j) < xtol: break if ytol is not None and err(j) < ytol: break if xtol is not None and norm2(j) > xtol: raise UnconvergedError("Failed to converge; maxiter (%d) reached, value=%s " %(maxiter, x)) if ytol is not None and err(j) > ytol: raise UnconvergedError("Failed to converge; maxiter (%d) reached, value=%s " %(maxiter, x)) return x, iter def broyden2(xs, fun, jac, xtol=1e-7, maxiter=100, jac_has_fun=False, skip_J=False, args=()): iter = 0 if skip_J: fcur = fun(xs, *args) N = len(fcur) J = eye(N) elif jac_has_fun: fcur, J = jac(xs, *args) J = inv(J) else: fcur = fun(xs, *args) J = inv(jac(xs, *args)) N = len(fcur) eqns = range(N) err = 0.0 for fi in fcur: err += abs(fi) while err > xtol and iter < maxiter: s = dot(J, fcur) xs = [xs[i] - s[i] for i in eqns] fnew = fun(xs, *args) z = [fnew[i] - fcur[i] for i in eqns] u = dot(J, z) d = [-i for i in s] dmu = [d[i]-u[i] for i in eqns] dmu_d = inner_product(dmu, d) den_inv = 1.0/inner_product(d, u) factor = den_inv*dmu_d J_delta = [[factor*j for j in row] for row in J] for i in eqns: for j in eqns: J[i][j] += J_delta[i][j] fcur = fnew iter += 1 err = 0.0 for fi in fcur: err += abs(fi) return xs, iter def normalize(values): r'''Simple function which normalizes a series of values to be from 0 to 1, and for their sum to add to 1. .. math:: x = \frac{x}{sum_i x_i} Parameters ---------- values : array-like array of values Returns ------- fractions : array-like Array of values from 0 to 1 Notes ----- Does not work on negative values, or handle the case where the sum is zero. Examples -------- >>> normalize([3, 2, 1]) [0.5, 0.3333333333333333, 0.16666666666666666] ''' tot_inv = 1.0/sum(values) return [i*tot_inv for i in values] # NOTE: the first value of each array is used; it is only the indexes that # are adjusted for fortran def func_35_splev(arg, t, l, l1, k2, nk1): # minus 1 index if arg >= t[l-1] or l1 == k2: arg, t, l, l1, nk1, leave = func_40_splev(arg, t, l, l1, nk1) # Always leaves here return arg, t, l, l1, k2, nk1 l1 = l l = l - 1 arg, t, l, l1, k2, nk1 = func_35_splev(arg, t, l, l1, k2, nk1) return arg, t, l, l1, k2, nk1 def func_40_splev(arg, t, l, l1, nk1): if arg < t[l1-1] or l == nk1: # minus 1 index return arg, t, l, l1, nk1, 1 l = l1 l1 = l + 1 arg, t, l, l1, nk1, leave = func_40_splev(arg, t, l, l1, nk1) return arg, t, l, l1, nk1, leave def py_splev(x, tck, ext=0, t=None, c=None, k=None): """Evaluate a B-spline using a pure-python port of FITPACK's splev. This is not fully featured in that it does not support calculating derivatives. Takes the knots and coefficients of a B-spline tuple, and returns the value of the smoothing polynomial. Parameters ---------- x : float or list[float] An point or array of points at which to calculate and return the value of the spline, [-] tck : 3-tuple Ssequence of length 3 returned by `splrep` containing the knots, coefficients, and degree of the spline, [-] ext : int, optional, default 0 If `x` is not within the range of the spline, this handles the calculation of the results. * For ext=0, extrapolate the value * For ext=1, return 0 as the value * For ext=2, raise a ValueError on that point and fail to return values * For ext=3, return the boundary value as the value Returns ------- y : list The array of calculated values; the spline function evaluated at the points in `x`, [-] Notes ----- The speed of this for a scalar value in CPython is approximately 15% slower than SciPy's FITPACK interface. In PyPy, this is 10-20 times faster than using it (benchmarked on PyPy 6). There could be more bugs in this port. """ e = ext if tck is not None: t, c, k = tck x = [x] # if isinstance(x, (float, int, complex)): # x = [x] m = 1#len(x) n = len(t) y = [] # output array k1 = k + 1 k2 = k1 + 1 nk1 = n - k1 tb = t[k1-1] # -1 to get right index te = t[nk1 ] # -1 to get right index; + 1 - 1 l = k1 l1 = l + 1 for i in range(0, m): # m is only 1 # i only used in loop for 1 arg = x[i] if arg < tb or arg > te: if e == 0: arg, t, l, l1, k2, nk1 = func_35_splev(arg, t, l, l1, k2, nk1) elif e == 1: y.append(0.0) continue elif e == 2: raise ValueError("X value not in domain; set `ext` to 0 to " "extrapolate") elif e == 3: if arg < tb: arg = tb else: arg = te arg, t, l, l1, k2, nk1 = func_35_splev(arg, t, l, l1, k2, nk1) else: arg, t, l, l1, k2, nk1 = func_35_splev(arg, t, l, l1, k2, nk1) # Local arrays used in fpbspl and to carry its result h = [0.0]*20 hh = [0.0]*19 fpbspl(t, n, k, arg, l, h, hh) sp = 0.0E0 ll = l - k1 for j in range(0, k1): ll = ll + 1 sp = sp + c[ll-1]*h[j] # -1 to get right index y.append(sp) return y[0] # if len(y) == 1: # return y[0] # return y def py_bisplev(x, y, tck, dx=0, dy=0): """Evaluate a bivariate B-spline or its derivatives. For scalars, returns a float; for other inputs, mimics the formats of SciPy's `bisplev`. Parameters ---------- x : float or list[float] x value (rank 1), [-] y : float or list[float] y value (rank 1), [-] tck : tuple(list, list, list, int, int) Tuple of knot locations, coefficients, and the degree of the spline, [tx, ty, c, kx, ky], [-] dx : int, optional Order of partial derivative with respect to `x`, [-] dy : int, optional Order of partial derivative with respect to `y`, [-] Returns ------- values : float or list[list[float]] Calculated values from spline or their derivatives; according to the same format as SciPy's `bisplev`, [-] Notes ----- Use `bisplrep` to generate the `tck` representation; there is no Python port of it. """ tx, ty, c, kx, ky = tck if isinstance(x, (float, int)): x = [x] if isinstance(y, (float, int)): y = [y] z = [[cy_bispev(tx, ty, c, kx, ky, [xi], [yi])[0] for yi in y] for xi in x] if len(x) == len(y) == 1: return z[0][0] return z def fpbspl(t, n, k, x, l, h, hh): """subroutine fpbspl evaluates the (k+1) non-zero b-splines of degree k at t(l) <= x < t(l+1) using the stable recurrence relation of de boor and cox. All arrays are 1d! Optimized the assignment and order and so on. """ h[0] = 1.0 for j in range(1, k + 1): hh[0:j] = h[0:j] h[0] = 0.0 for i in range(j): li = l+i f = hh[i]/(t[li] - t[li - j]) h[i] = h[i] + f*(t[li] - x) h[i + 1] = f*(x - t[li - j]) def init_w(t, k, x, lx, w): tb = t[k] n = len(t) m = len(x) h = [0]*6 hh = [0]*5 te = t[n - k - 1] l1 = k + 1 l2 = l1 + 1 for i in range(m): arg = x[i] if arg < tb: arg = tb if arg > te: arg = te while not (arg < t[l1] or l1 == (n - k - 1)): l1 = l2 l2 = l1 + 1 fpbspl(t, n, k, arg, l1, h, hh) lx[i] = l1 - k - 1 for j in range(k + 1): w[i][j] = h[j] def cy_bispev(tx, ty, c, kx, ky, x, y): """Possible optimization: Do not evaluate derivatives, ever.""" nx = len(tx) ny = len(ty) mx = len(x) my = len(y) kx1 = kx + 1 ky1 = ky + 1 nkx1 = nx - kx1 nky1 = ny - ky1 wx = [[0.0]*kx1]*mx wy = [[0.0]*ky1]*my lx = [0]*mx ly = [0]*my size_z = mx*my z = [0.0]*size_z init_w(tx, kx, x, lx, wx) init_w(ty, ky, y, ly, wy) for j in range(my): for i in range(mx): sp = 0.0 err = 0.0 for i1 in range(kx1): for j1 in range(ky1): l2 = lx[i]*nky1 + ly[j] + i1*nky1 + j1 a = c[l2]*wx[i][i1]*wy[j][j1] - err tmp = sp + a err = (tmp - sp) - a sp = tmp z[j*mx + i] += sp return z p_0_70 = array_if_needed([0.06184590404457956, -0.7460693871557973, 2.2435704485433376, -2.1944070385048526, 0.3382265629285811, 0.2791966558569478]) q_0_07 = array_if_needed([-0.005308735283483908, 0.1823421262956287, -1.2364596896290079, 2.9897802200092296, -2.9365321202088004, 1.0]) p_07_099 = array_if_needed([7543860.817140365, -10254250.429758755, -4186383.973408412, 7724476.972409749, -3130743.609030545, 600806.068543299, -62981.15051292659, 3696.7937385473397, -114.06795167646395, 1.4406337969700391]) q_07_099 = array_if_needed([-1262997.3422452002, 10684514.56076485, -16931658.916668657, 10275996.02842749, -3079141.9506451315, 511164.4690136096, -49254.56172495263, 2738.0399260270983, -81.36790509581284, 1.0]) p_099_1 = array_if_needed([8.548256176424551e+34, 1.8485781239087334e+35, -2.1706889553798647e+34, 8.318563643438321e+32, -1.559802348661511e+31, 1.698939241177209e+29, -1.180285031647229e+27, 5.531049937687143e+24, -1.8085903366375877e+22, 4.203276811951035e+19, -6.98211620300421e+16, 82281997048841.92, -67157299796.61345, 36084814.54808544, -11478.108105137717, 1.6370226052761176]) q_099_1 = array_if_needed([-1.9763570499484274e+35, 1.4813997374958851e+35, -1.4773854824041134e+34, 5.38853721252814e+32, -9.882387315028929e+30, 1.0635231532999732e+29, -7.334629044071992e+26, 3.420655574477631e+24, -1.1147787784365177e+22, 2.584530363912858e+19, -4.285376337404043e+16, 50430830490687.56, -41115254924.43107, 22072284.971253656, -7015.799744041691, 1.0]) def polylog2(x): r'''Simple function to calculate PolyLog(2, x) from ranges 0 <= x <= 1, with relative error guaranteed to be < 1E-7 from 0 to 0.99999. This is a Pade approximation, with three coefficient sets with splits at 0.7 and 0.99. An exception is raised if x is under 0 or above 1. Parameters ---------- x : float Value to evaluate PolyLog(2, x) T Returns ------- y : float Evaluated result Notes ----- Efficient (2-4 microseconds). No implementation of this function exists in SciPy. Derived with mpmath's pade approximation. Required for the entropy integral of :obj:`thermo.heat_capacity.Zabransky_quasi_polynomial`. Examples -------- >>> polylog2(0.5) 0.5822405264516294 ''' if 0 <= x <= 0.7: p = p_0_70 q = q_0_07 offset = 0.26 elif 0.7 < x <= 0.99: p = p_07_099 q = q_07_099 offset = 0.95 elif 0.99 < x <= 1: p = p_099_1 q = q_099_1 offset = 0.999 else: raise ValueError('Approximation is valid between 0 and 1 only.') x = x - offset return horner(p, x)/horner(q, x) def max_abs_error(data, calc): max_err = 0.0 N = len(data) for i in range(N): diff = abs(data[i] - calc[i]) if diff > max_err: max_err = diff return max_err def max_abs_rel_error(data, calc): max_err = 0.0 N = len(data) for i in range(N): diff = abs((data[i] - calc[i])/data[i]) if diff > max_err: max_err = diff return max_err def max_squared_error(data, calc): max_err = 0.0 N = len(data) for i in range(N): diff = abs(data[i] - calc[i]) diff *= diff if diff > max_err: max_err = diff return max_err def max_squared_rel_error(data, calc): max_err = 0.0 N = len(data) for i in range(N): diff = abs((data[i] - calc[i])/data[i]) diff *= diff if diff > max_err: max_err = diff return max_err def mean_abs_error(data, calc): mean_err = 0.0 N = len(data) for i in range(N): mean_err += abs(data[i] - calc[i]) return mean_err/N def mean_abs_rel_error(data, calc): mean_err = 0.0 N = len(data) for i in range(N): if data[i] == 0.0: if calc[i] == 0.0: pass else: mean_err += 1.0 else: mean_err += abs((data[i] - calc[i])/data[i]) return mean_err/N def mean_squared_error(data, calc): mean_err = 0.0 N = len(data) for i in range(N): err = abs(data[i] - calc[i]) mean_err += err*err return mean_err/N def mean_squared_rel_error(data, calc): mean_err = 0.0 N = len(data) for i in range(N): err = abs((data[i] - calc[i])/data[i]) mean_err += err*err return mean_err/N global sp_root sp_root = None def root(*args, **kwargs): global sp_root if sp_root is None: from scipy.optimize import root as sp_root return sp_root(*args, **kwargs) global sp_minimize sp_minimize = None def minimize(*args, **kwargs): global sp_minimize if sp_minimize is None: from scipy.optimize import minimize as sp_minimize return sp_minimize(*args, **kwargs) global sp_fsolve sp_fsolve = None def fsolve(*args, **kwargs): global sp_fsolve if sp_fsolve is None: from scipy.optimize import fsolve as sp_fsolve return sp_fsolve(*args, **kwargs) global sp_curve_fit sp_curve_fit = None def curve_fit(*args, **kwargs): global sp_curve_fit if sp_curve_fit is None: from scipy.optimize import curve_fit as sp_curve_fit return sp_curve_fit(*args, **kwargs) global sp_leastsq sp_leastsq = None def leastsq(*args, **kwargs): global sp_leastsq if sp_leastsq is None: from scipy.optimize import leastsq as sp_leastsq return sp_leastsq(*args, **kwargs) global sp_differential_evolution sp_differential_evolution = None def differential_evolution(*args, **kwargs): global sp_differential_evolution if sp_differential_evolution is None: from scipy.optimize import differential_evolution as sp_differential_evolution return sp_differential_evolution(*args, **kwargs) global sp_lmder sp_lmder = None def lmder(*args, **kwargs): global sp_lmder if sp_lmder is None: from scipy.optimize._minpack import _lmder as sp_lmder return sp_lmder(*args, **kwargs) global sp_lmfit sp_lmfit = None def lmfit(*args, **kwargs): global sp_lmfit if sp_lmfit is None: from scipy.optimize._minpack import _lmfit as sp_lmfit return sp_lmfit(*args, **kwargs) def fixed_quad_Gauss_Kronrod(f, a, b, k_points, k_weights, l_weights, args): ''' Note: This type of function cannot be fast in numba right now, the function call is too slow! https://numba.pydata.org/numba-doc/dev/user/faq.html#can-i-pass-a-function-as-an-argument-to-a-jitted-function ''' val_gauss_kronrod = val_gauss_legendre = 0.0 diff = b - a fact = 0.5*diff N = len(k_points) # center = N//2 # sp = [0.0]*N # fx_gk = [0.0]*N # fx_gl = [0.0]*center k = 0 for i in range(N): x0 = 0.5*(1.0 - k_points[i]) x1 = 0.5*(1.0 + k_points[i]) # sp[i] = x = a*x0 + b*x1 # fx_gk[i] = y = f(x, *args) val_gauss_kronrod += fact*y*k_weights[i] if i%2: # fx_gl[k] = y val_gauss_legendre += fact*y*l_weights[k] k += 1 return val_gauss_kronrod, val_gauss_kronrod-val_gauss_legendre def quad_adaptive(f, a, b, args=(), kronrod_points=array_if_needed(kronrod_points[10]), kronrod_weights=array_if_needed(kronrod_weights[10]), legendre_weights=array_if_needed(legendre_weights[10]), epsrel=1.49e-8, epsabs=1.49e-8, depth=0, points=None): # Disregard `points` for now area, err_abs = fixed_quad_Gauss_Kronrod(f, a, b, kronrod_points, kronrod_weights, legendre_weights, args) # Match behavior, documented at https://www.johndcook.com/blog/2012/03/20/scipy-integration/ #and with a good test case at https://www.johndcook.com/blog/2012/03/20/scipy-integration/ if (abs(err_abs) < epsabs or (area == 0.0 or abs(err_abs/area) < epsrel)) or depth > 6: # print((a, b), area, abs(err_abs), epsabs, abs(err_abs/area), epsrel, depth) return area, err_abs mid = a + (b-a)*0.5 area_A, err_abs_A = quad_adaptive(f, a, mid, args, kronrod_points, kronrod_weights, legendre_weights, epsrel=epsrel, epsabs=epsabs*0.5, depth=depth+1) area_B, err_abs_B = quad_adaptive(f, mid, b, args, kronrod_points, kronrod_weights, legendre_weights, epsrel=epsrel, epsabs=epsabs*0.5, depth=depth+1) return area_A + area_B, abs(err_abs_A) + abs(err_abs_B) global sp_quad sp_quad = None def lazy_quad(f, a, b, args=(), epsrel=1.49e-08, epsabs=1.49e-8, **kwargs): global sp_quad if not IS_PYPY: if sp_quad is None: from scipy.integrate import quad as sp_quad return sp_quad(f, a, b, args, epsrel=epsrel, epsabs=epsabs, **kwargs) else: return quad_adaptive(f, a, b, args=args, epsrel=epsrel, epsabs=epsabs) # n = 300 # return fixed_quad_Gauss_Kronrod(f, a, b, kronrod_points[n], kronrod_weights[n], legendre_weights[n], args) def _call_nquad(x, func, range_funcs, epsrel, epsabs, *args): return nquad(func, range_funcs, args=(x,) +args , epsrel=epsrel, epsabs=epsabs) def nquad(func, ranges, args=(), epsrel=1.48e-8, epsabs=1.48e-8): my_low, my_high = ranges[-1](*args) if len(ranges) == 1: return quad_adaptive(func, my_low, my_high, args=args, epsrel=epsrel, epsabs=epsabs) # return quad_adaptive(_call_nquad, my_low, my_high, args=(func, ranges[:-1], epsrel, epsabs) +args, epsrel=epsrel, epsabs=epsabs) def dblquad(func, a, b, hfun, gfun, args=(), epsrel=1.48e-12, epsabs=1.48e-15): """Nominally working, but trying to use it has exposed the expected bugs in `quad_adaptive`.""" def inner_func(y, *args): full_args = (y,)+args quad_fluids = quad_adaptive(func, hfun(y, *args), gfun(y, *args), args=full_args, epsrel=epsrel, epsabs=epsabs)[0] # from scipy.integrate import quad as quad2 # quad_sp = quad2(func, hfun(y), gfun(y), args=full_args, epsrel=epsrel, epsabs=epsabs)[0] # print(quad_fluids, quad_sp, hfun(y), gfun(y), full_args, ) return quad_fluids # return quad(func, hfun(y), gfun(y), args=(y,)+args, epsrel=epsrel, epsabs=epsabs)[0] return quad_adaptive(inner_func, a, b, args=args, epsrel=epsrel, epsabs=epsabs) if IS_PYPY: quad = quad_adaptive else: quad = lazy_quad fit_minimization_targets = {'MeanAbsErr': mean_abs_error, 'MeanRelErr': mean_abs_rel_error, 'MeanSquareErr': mean_squared_error, 'MeanSquareRelErr': mean_squared_rel_error, 'MaxAbsErr': max_abs_error, 'MaxRelErr': max_abs_rel_error, 'MaxSquareErr': max_squared_error, 'MaxSquareRelErr': max_squared_rel_error, } def py_factorial(n): if n < 0: raise ValueError("Positive values only") factorial = 1 for i in range(2, n + 1): factorial *= i return factorial try: from math import factorial except: factorial = py_factorial # interp, horner, derivative methods (and maybe newton?) should always be used. if not IS_PYPY: def splev(*args, **kwargs): from scipy.interpolate import splev return splev(*args, **kwargs) def bisplev(*args, **kwargs): from scipy.interpolate import bisplev return bisplev(*args, **kwargs) else: splev, bisplev = py_splev, py_bisplev # Try out mpmath for special functions anyway has_scipy = False if not SKIP_DEPENDENCIES and not is_micropython and not is_ironpython: has_scipy = True # try: # import scipy # has_scipy = True # except ImportError: # has_scipy = False else: has_scipy = False erf = None try: from math import erf except ImportError: # python 2.6 or other implementations? pass def _lambertw_err(x, y): return x*exp(x) - y def py_lambertw(y, k=0): """For x > 0, the is always only one real solution For -1/e < x < 0, two real solutions. Besides compatibility with scipy, the result should have a complex part because micropython doesn't support .real on floats """ # Works for real inputs only, two main branches if k == 0: # Branches dead at -1 # -1 is hard limit for real in this branch # 700 is safe upper limit for exp # Input should be between -1 and +BIGNUMBER return brenth(_lambertw_err, -1.0, 700.0, (y,)) + 0.0j elif k == -1: # Input should be between 0 and -1/e # not a big input range! return brenth(_lambertw_err, -700.0, -1.0, (y,)) + 0.0j else: raise ValueError("Other branches not supported") #has_scipy = False if IS_PYPY: lambertw = py_lambertw if has_scipy: if not IS_PYPY: def lambertw(*args, **kwargs): from scipy.special import lambertw return lambertw(*args, **kwargs) def ellipe(m): from scipy.special import ellipe return ellipe(m) def gammaincc(*args, **kwargs): from scipy.special import gammaincc return gammaincc(*args, **kwargs) def i1(*args, **kwargs): from scipy.special import i1 return i1(*args, **kwargs) def i0(*args, **kwargs): from scipy.special import i0 return i0(*args, **kwargs) def k1(*args, **kwargs): from scipy.special import k1 return k1(*args, **kwargs) def k0(*args, **kwargs): from scipy.special import k0 return k0(*args, **kwargs) def iv(*args, **kwargs): from scipy.special import iv return iv(*args, **kwargs) def hyp2f1(*args, **kwargs): from scipy.special import hyp2f1 return hyp2f1(*args, **kwargs) def ellipkinc(phi, m): from scipy.special import ellipkinc return ellipkinc(phi, m) def ellipeinc(phi, m): from scipy.special import ellipeinc return ellipeinc(phi, m) if erf is None: def erf(*args, **kwargs): from scipy.special import erf return erf(*args, **kwargs) # from scipy.special import lambertw, ellipe, gammaincc # fluids # from scipy.special import i1, i0, k1, k0, iv # ht # from scipy.special import hyp2f1 # if erf is None: # from scipy.special import erf else: lambertw = py_lambertw # scipy is not available... fall back to mpmath as a Pure-Python implementation # However, lazy load all functions # from mpmath import lambertw # Same branches as scipy, supports .real # Figured out this definition from test_precompute_gammainc.py in scipy if erf is None: def erf(*args, **kwargs): import mpmath return mpmath.erf(*args, **kwargs) def gammaincc(a, x): import mpmath return mpmath.gammainc(a, a=x, regularized=True) def ellipe(*args, **kwargs): import mpmath return mpmath.ellipe(*args, **kwargs) def gammaincc(a, x): import mpmath return mpmath.gammainc(a, a=x, regularized=True) def iv(*args, **kwargs): import mpmath return mpmath.besseli(*args, **kwargs) def hyp2f1(*args, **kwargs): import mpmath return mpmath.hyp2f1(*args, **kwargs) def iv(*args, **kwargs): import mpmath return mpmath.besseli(*args, **kwargs) def i1(x): import mpmath return mpmath.mpmath.besseli(1, x) def i0(x): import mpmath return mpmath.mpmath.besseli(0, x) def k1(x): import mpmath return mpmath.mpmath.besselk(1, x) def k0(x): import mpmath return mpmath.mpmath.besselk(0, x) def ellipkinc(phi, m): import mpmath return mpmath.mpmath.ellipf(phi, m) def ellipeinc(phi, m): import mpmath return mpmath.ellipe.ellipeinc(phi, m) try: if FORCE_PYPY: lambertw = py_lambertw from scipy.special import ellipe, gammaincc, gamma, ellipkinc, ellipeinc # fluids from scipy.special import i1, i0, k1, k0, iv # ht from scipy.special import hyp2f1 if erf is None: from scipy.special import erf except: pass fluids-1.0.22/fluids/numerics/doubledouble.py0000644000175000017500000003022414302004506020535 0ustar nileshnilesh# -*- coding: utf-8 -*- """Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2021 Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicensse, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. """ from __future__ import division from math import sqrt as msqrt, log as mlog __all__ = ['add_dd', 'mul_noerrors_dd', 'mul_dd', 'div_dd', 'sqrt_dd', 'square_dd', 'mul_imag_dd', 'mul_imag_noerrors_dd', 'sqrt_imag_dd', 'add_imag_dd', 'imag_inv_dd', 'div_imag_dd', 'cbrt_imag_dd', 'cbrt_dd', 'cube_dd', 'cbrt_explicit_dd', 'eq_dd', 'neq_dd', 'lt_dd', 'gt_dd', 'le_dd', 'ge_dd', 'intpow_dd', 'exp_dd', 'log_dd', 'pow_dd'] third = 1/3.0 def eq_dd(r0, e0, r1, e1): '''Return True if two numbers are equal, False otherwise. ''' return r0 == r1 and e0 == e1 def neq_dd(r0, e0, r1, e1): '''Return False if two numbers are equal, True otherwise. ''' return r0 != r1 or e0 != e1 def lt_dd(r0, e0, r1, e1): '''Return True if first number is less than second number, otherwise False. ''' return r0 < r1 or (r0 == r1 and e0 < e1) def le_dd(r0, e0, r1, e1): '''Return True if first number is less than or equal to second number, otherwise False. ''' return r0 < r1 or (r0 == r1 and e0 <= e1) def gt_dd(r0, e0, r1, e1): '''Return True if first number is larger than second number, otherwise False. ''' return r0 > r1 or (r0 == r1 and e0 > e1) def ge_dd(r0, e0, r1, e1): '''Return True if first number is larger or equal to the second number, otherwise False. ''' return r0 > r1 or (r0 == r1 and e0 >= e1) def add_dd(x0, y0, x1, y1): '''Add two floating point doule doubles. args: first number main, first number small... ''' r = x0 + x1 t = r - x0 e = (x0 - (r - t)) + (x1 - t) e += y0 + y1 r2 = r + e e = e - (r2 - r) return r2, e def mul_noerrors_dd(x0, x1): '''Multiply two floating point numbers which were previously only doubles, and return ther ''' u = x0*134217729.0 v = x1*134217729.0 s = u - (u - x0) t = v - (v - x1) f = x0 - s g = x1 - t r = x0*x1 e = ((s*t - r) + s*g + f*t) + f*g return r, e def mul_dd(x0, y0, x1, y1): u = x0*134217729.0 v = x1*134217729.0 s = u - (u - x0) t = v - (v - x1) f = x0 - s g = x1 - t r = x0*x1 e = ((s*t - r) + s*g + f*t) + f*g e += x0*y1 + y0*x1 r0 = r + e e = e - (r0 - r) return r0, e def div_dd(x0, y0, x1, y1): # Creating a 1/x operation would save 1 add, one multiply only! r = x0/x1 u = r*134217729.0 v = x1*134217729.0 s2 = u - (u - r) t = v - (v - x1) f = r - s2 g = x1 - t s = r*x1 f = ((s2*t - s) + s2*g + f*t) + f*g e = (x0 - s - f + y0 - r*y1)/x1 r0 = r + e e = e - (r0 - r) return r0, e def sqrt_dd(x, y): if x == 0.0: return (0.0, 0.0) r = msqrt(x) u = r*134217729.0 s2 = u - (u - r) f2 = r - s2 s = r*r f = ((s2*s2 - s) + 2.0*s2*f2) + f2*f2 e = (x - s - f + y)*0.5/r r0 = r + e e = e - (r0 - r) return r0, e def square_dd(x0, y0): # main part, second part - as fast as possible u = x0*134217729.0 s = u - (u - x0) f = x0 - s r = x0*x0 e = ((s*s - r) + 2.0*s*f) + f*f + 2.0*x0*y0 r0 = r + e e = e - (r0 - r) return r0, e def intpow_dd(r, e, n): '''Compute and return the integer power of a double-double number `r` and `e` to the `n`. (r+e)^n. ''' br, be = r, e i = abs(n) rr, re = 1.0, 0.0 while True: if i & 1 == 1: rr, re = mul_dd(rr, re, br, be) if i <= 1: break i >>= 1 br, be = mul_dd(br, be, br, be) if n < 0: return div_dd(1.0, 0.0, rr, re) return rr, re dd_exp_coeffs = (156, 12012, 600600, 21621600, 588107520, 12350257920, 201132771840, 2514159648000, 23465490048000, 154872234316800, 647647525324800, 1295295050649600) def exp_dd(r, e): n = int(round(r)) xr, xe = add_dd(r, e, -n, 0) ur, ue = add_dd(xr, xe, dd_exp_coeffs[0], 0) for i in range(1, 12): ur, ue = mul_dd(xr, xe, ur, ue) ur, ue = add_dd(ur, ue, dd_exp_coeffs[i], 0) vr, ve = add_dd(xr, xe, -dd_exp_coeffs[0], 0) f = 1.0 for i in range(1, 12): vr, ve = mul_dd(xr, xe, vr, ve) vr, ve = add_dd(vr, ve, f*dd_exp_coeffs[i], 0) f *= -1.0 outr, oute = intpow_dd(2.718281828459045, 1.4456468917292502e-16, n) outr, oute = mul_dd(outr, oute, ur, ue) outr, oute = div_dd(outr, oute, vr, ve) return outr, oute def log_dd(r, e): '''Compute the log. ''' rr, re = mlog(r), 0.0 ur, ue = exp_dd(rr, re) tmpr, tmpe = add_dd(ur, ue, -r, -e) denr, dene = add_dd(ur, ue, r, e) tmpr, tmpe = div_dd(tmpr, tmpe, denr, dene) tmpr, tmpe = mul_dd(2.0, 0.0, tmpr, tmpe) return add_dd(rr, re, -tmpr, -tmpe) def pow_dd(r, e, nr, ne): '''Compute the power''' if ne == 0.0 and (nr %1) == 0: return intpow_dd(r, e, nr) tmpr, tmpe = log_dd(r, e) tmpr, tmpe = mul_dd(tmpr, tmpe, nr, ne) return exp_dd(tmpr, tmpe) def mul_imag_dd(xrr, xre, xcr, xce, yrr, yre, ycr, yce): # TODO Make one for one number having zero complex number zrr, zre = mul_dd(xrr, xre, yrr, yre) wrr, wre = mul_dd(xcr, xce, ycr, yce) zrr, zre = add_dd(zrr, zre, -wrr, -wre) zcr, zce = mul_dd(xrr, xre, ycr, yce) wrr, wre = mul_dd(xcr, xce, yrr, yre) zcr, zce = add_dd(zcr, zce, wrr, wre) return zrr, zre, zcr, zce def mul_imag_noerrors_dd(xrr, xcr, yrr, ycr): zrr, zre = mul_noerrors_dd(xrr, yrr) wrr, wre = mul_noerrors_dd(xcr, -ycr) zrr, zre = add_dd(zrr, zre, wrr, wre) zcr, zce = mul_noerrors_dd(xrr, ycr) wrr, wre = mul_noerrors_dd(xcr, yrr) zcr, zce = add_dd(zcr, zce, wrr, wre) return zrr, zre, zcr, zce def sqrt_imag_dd(xrr, xre, xcr, xce): if xcr == 0.0: if xrr > 0.0: zrr, zre = sqrt_dd(xrr, xre) return zrr, zre, 0.0, 0.0 zrr, zre = sqrt_dd(-xrr, -xre) return 0.0, 0.0, zrr, zre # 2 square, 3 add, 3 sqrt xrr2, xre2 = square_dd(xrr, xre) xcr2, xce2 = square_dd(xcr, xce) wr, we = add_dd(xrr2, xre2, xcr2, xce2) wr, we = sqrt_dd(wr, we) zrr, zre = add_dd(wr, we, xrr, xre) zrr *= 0.5 zre *= 0.5 # checks out zrr, zre = sqrt_dd(zrr, zre) # real part of answer zcr, zce = add_dd(wr, we, -xrr, -xre) zcr *= 0.5 zce *= 0.5 # checks out zcr, zce = sqrt_dd(zcr, zce) # real part of answer return (zrr, zre, zcr, zce) def add_imag_dd(xrr, xre, xcr, xce, yrr, yre, ycr, yce): zrr, zre = add_dd(xrr, xre, yrr, yre) zcr, zce = add_dd(xcr, xce, ycr, yce) return zrr, zre, zcr, zce def imag_inv_dd(xrr, xre, xcr, xce): cr2, ce2 = square_dd(xrr, xre) wr, we = square_dd(xcr, xce) wr, we = add_dd(cr2, ce2, wr, we) xrr, xre = div_dd(xrr, xre, wr, we) xcr, xce = div_dd(xcr, xce, wr, we) return xrr, xre, -xcr, -xce def div_imag_dd(xrr, xre, xcr, xce, yrr, yre, ycr, yce): # TODO try to make one for the case the numerator has no complex number # as that is used. cr2, ce2 = square_dd(yrr, yre) wr, we = square_dd(ycr, yce) wr, we = add_dd(cr2, ce2, wr, we) nlr, nle = mul_dd(xrr, xre, yrr, yre) cr2, ce2 = mul_dd(xcr, xce, ycr, yce) nlr, nle = add_dd(nlr, nle, cr2, ce2) nrr, nre = mul_dd(xcr, xce, yrr, yre) cr2, ce2 = mul_dd(xrr, xre, ycr, yce) nrr, nre = add_dd(nrr, nre, -cr2, -ce2) xrr, xre = div_dd(nlr, nle, wr, we) xcr, xce = div_dd(nrr, nre, wr, we) return xrr, xre, xcr, xce def cbrt_imag_dd(xrr, xre, xcr, xce): # start off at the double precision solution y_guess = (xrr + xcr*1.0j)**(-1.0/3.) yr, yc = y_guess.real, y_guess.imag # one newton iteration t0rr, t0re, t0cr, t0ce = mul_imag_noerrors_dd(yr, yc, yr, yc) # have y*y t0rr, t0re, t0cr, t0ce = mul_imag_dd(t0rr, t0re, t0cr, t0ce, yr, 0.0, yc, 0.0) # have y*y*y t0rr, t0re, t0cr, t0ce = mul_imag_dd(t0rr, t0re, t0cr, t0ce, xrr, xre, xcr, xce) # have x*y*y*y # here, we flip the signs on the complex bits # add do an add to the real bits t0rr, t0re = add_dd(1.0, 0.0, -t0rr, -t0re) # t0rr, t0re, t0cr, t0ce = add_imag_dd(1.0, 0.0, 0.0, 0.0, -t0rr, -t0re, -t0cr, -t0ce) # have 1-x*y*y*y ; should be able to optimize this t0rr, t0re, t0cr, t0ce = mul_imag_dd(yr, 0.0, yc, 0.0, t0rr, t0re, -t0cr, -t0ce) # have y*(1-x*y*y*y) t0rr, t0re, t0cr, t0ce = mul_imag_dd(t0rr, t0re, t0cr, t0ce, 0.3333333333333333, 1.850371707708594e-17, 0.0, 0.0) # have third_dd*y*(1-x*y*y*y); should be able to optimize this t0rr, t0re, t0cr, t0ce = add_imag_dd(yr, 0.0, yc, 0.0, t0rr, t0re, t0cr, t0ce) # have y return imag_inv_dd(t0rr, t0re, t0cr, t0ce) def cbrt_dd(xr, xe): # http://web.mit.edu/tabbott/Public/quaddouble-debian/qd-2.3.4-old/docs/qd.pdf yr = (xr**(-1.0/3.)) ye = 0.0 w0r, w0e = cube_dd(yr, ye) # w0r, w0e = mul_dd(w0r, w0e, yr, ye) w0r, w0e = mul_dd(w0r, w0e, xr, xe) w0r, w0e = add_dd(1.0, 0.0, -w0r, -w0e) w0r, w0e = mul_dd(w0r, w0e, yr, ye) yr, ye = add_dd(yr, ye, w0r, w0e) # Do it again, most of the time probably don't need this? Turn it off on EOS? w0r, w0e = cube_dd(yr, ye) w0r, w0e = mul_dd(w0r, w0e, xr, xe) w0r, w0e = add_dd(1.0, 0.0, -w0r, -w0e) w0r, w0e = mul_dd(w0r, w0e, yr, ye) yr, ye = add_dd(yr, ye, third*w0r, third*w0e) return div_dd(1.0, 0.0, yr, ye) def cube_dd(x0, y0): # main part, second part - as fast as possible u = x0*134217729.0 s = u - (u - x0) f = x0 - s r = x0*x0 e = ((s*s - r) + 2.0*s*f) + f*f + 2.0*x0*y0 r0 = r + e e0 = e - (r0 - r) v = r0*134217729.0 t = v - (v - r0) g = r0 - t r = x0*r0 e = ((s*t - r) + s*g + f*t) + f*g + x0*e0 + y0*r0 r0 = r + e e = e - (r0 - r) return r0, e def cbrt_explicit_dd(xr, xe): # http://web.mit.edu/tabbott/Public/quaddouble-debian/qd-2.3.4-old/docs/qd.pdf yr = (xr**(-1.0/3.)) ye = 0.0 # w0r, w0e = cube_dd(yr, ye) # Couple of things commented out at the start since ye is zero # Cannot seem to make ot work good. u = yr*134217729.0 s = u - (u - yr) f = yr - s r = yr*yr w0e = ((s*s - r) + 2.0*s*f) + f*f + 2.0*yr*ye w0r = r + w0e e0 = w0e - (w0r - r) v = w0r*134217729.0 t = v - (v - w0r) g = w0r - t r = yr*w0r w0e = ((s*t - r) + s*g + f*t) + f*g + yr*e0 + ye*w0r w0r = r + w0e w0e = w0e - (w0r - r) w0r, w0e = mul_dd(w0r, w0e, xr, xe) w0r, w0e = add_dd(1.0, 0.0, -w0r, -w0e) w0r, w0e = mul_dd(w0r, w0e, yr, ye) yr, ye = add_dd(yr, ye, w0r, w0e) # Do it again, most of the time probably don't need this? Turn it off on EOS? u = yr*134217729.0 s = u - (u - yr) f = yr - s r = yr*yr w0e = ((s*s - r) + 2.0*s*f) + f*f + 2.0*yr*ye w0r = r + w0e e0 = w0e - (w0r - r) v = w0r*134217729.0 t = v - (v - w0r) g = w0r - t r = yr*w0r w0e = ((s*t - r) + s*g + f*t) + f*g + yr*e0 + ye*w0r w0r = r + w0e w0e = w0e - (w0r - r) w0r, w0e = mul_dd(w0r, w0e, xr, xe) w0r, w0e = add_dd(1.0, 0.0, -w0r, -w0e) w0r, w0e = mul_dd(w0r, w0e, yr, ye) yr, ye = add_dd(yr, ye, third*w0r, third*w0e) return div_dd(1.0, 0.0, yr, ye) fluids-1.0.22/fluids/numerics/arrays.py0000644000175000017500000004106014302004506017371 0ustar nileshnilesh# -*- coding: utf-8 -*- # type: ignore """Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2019 Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. """ from __future__ import division from math import sin, exp, pi, fabs, copysign, log, isinf, acos, cos, sin, sqrt import sys REQUIRE_DEPENDENCIES = False if not REQUIRE_DEPENDENCIES: IS_PYPY = True else: try: # The right way imports the platform module which costs to ms to load! # implementation = platform.python_implementation() IS_PYPY = 'PyPy' in sys.version except AttributeError: IS_PYPY = False #IS_PYPY = True # for testing #if not IS_PYPY and not REQUIRE_DEPENDENCIES: # try: # import numpy as np # except ImportError: # np = None __all__ = ['dot', 'inv', 'det', 'solve', 'norm2', 'inner_product', 'eye', 'array_as_tridiagonals', 'solve_tridiagonal', 'subset_matrix'] primitive_containers = frozenset([list, tuple]) def det(matrix): """Seem sto work fine. >> from sympy import * >> from sympy.abc import * >> Matrix([[a, b], [c, d]]).det() a*d - b*c >> Matrix([[a, b, c], [d, e, f], [g, h, i]]).det() a*e*i - a*f*h - b*d*i + b*f*g + c*d*h - c*e*g A few terms can be slightly factored out of the 3x dim. >> Matrix([[a, b, c, d], [e, f, g, h], [i, j, k, l], [m, n, o, p]]).det() a*f*k*p - a*f*l*o - a*g*j*p + a*g*l*n + a*h*j*o - a*h*k*n - b*e*k*p + b*e*l*o + b*g*i*p - b*g*l*m - b*h*i*o + b*h*k*m + c*e*j*p - c*e*l*n - c*f*i*p + c*f*l*m + c*h*i*n - c*h*j*m - d*e*j*o + d*e*k*n + d*f*i*o - d*f*k*m - d*g*i*n + d*g*j*m 72 mult vs ~48 in cse'd version' Commented out - takes a few seconds >> #Matrix([[a, b, c, d, e], [f, g, h, i, j], [k, l, m, n, o], [p, q, r, s, t], [u, v, w, x, y]]).det() 260 multiplies with cse; 480 without it. """ size = len(matrix) if size == 1: return matrix[0] elif size == 2: (a, b), (c, d) = matrix return a*d - c*b elif size == 3: (a, b, c), (d, e, f), (g, h, i) = matrix return a*(e*i - h*f) - d*(b*i - h*c) + g*(b*f - e*c) elif size == 4: (a, b, c, d), (e, f, g, h), (i, j, k, l), (m, n, o, p) = matrix return (a*f*k*p - a*f*l*o - a*g*j*p + a*g*l*n + a*h*j*o - a*h*k*n - b*e*k*p + b*e*l*o + b*g*i*p - b*g*l*m - b*h*i*o + b*h*k*m + c*e*j*p - c*e*l*n - c*f*i*p + c*f*l*m + c*h*i*n - c*h*j*m - d*e*j*o + d*e*k*n + d*f*i*o - d*f*k*m - d*g*i*n + d*g*j*m) elif size == 5: (a, b, c, d, e), (f, g, h, i, j), (k, l, m, n, o), (p, q, r, s, t), (u, v, w, x, y) = matrix x0 = s*y x1 = a*g*m x2 = t*w x3 = a*g*n x4 = r*x x5 = a*g*o x6 = t*x x7 = a*h*l x8 = q*y x9 = a*h*n x10 = s*v x11 = a*h*o x12 = r*y x13 = a*i*l x14 = t*v x15 = a*i*m x16 = q*w x17 = a*i*o x18 = s*w x19 = a*j*l x20 = q*x x21 = a*j*m x22 = r*v x23 = a*j*n x24 = b*f*m x25 = b*f*n x26 = b*f*o x27 = b*h*k x28 = t*u x29 = b*h*n x30 = p*x x31 = b*h*o x32 = b*i*k x33 = p*y x34 = b*i*m x35 = r*u x36 = b*i*o x37 = b*j*k x38 = s*u x39 = b*j*m x40 = p*w x41 = b*j*n x42 = c*f*l x43 = c*f*n x44 = c*f*o x45 = c*g*k x46 = c*g*n x47 = c*g*o x48 = c*i*k x49 = c*i*l x50 = p*v x51 = c*i*o x52 = c*j*k x53 = c*j*l x54 = q*u x55 = c*j*n x56 = d*f*l x57 = d*f*m x58 = d*f*o x59 = d*g*k x60 = d*g*m x61 = d*g*o x62 = d*h*k x63 = d*h*l x64 = d*h*o x65 = d*j*k x66 = d*j*l x67 = d*j*m x68 = e*f*l x69 = e*f*m x70 = e*f*n x71 = e*g*k x72 = e*g*m x73 = e*g*n x74 = e*h*k x75 = e*h*l x76 = e*h*n x77 = e*i*k x78 = e*i*l x79 = e*i*m return (x0*x1 - x0*x24 + x0*x27 + x0*x42 - x0*x45 - x0*x7 - x1*x6 + x10*x11 - x10*x21 - x10*x44 + x10*x52 + x10*x69 - x10*x74 - x11*x20 + x12*x13 + x12*x25 - x12*x3 - x12*x32 - x12*x56 + x12*x59 - x13*x2 + x14*x15 + x14*x43 - x14*x48 - x14*x57 + x14*x62 - x14*x9 - x15*x8 + x16*x17 - x16*x23 - x16*x58 + x16*x65 + x16*x70 - x16*x77 - x17*x22 + x18*x19 + x18*x26 - x18*x37 - x18*x5 - x18*x68 + x18*x71 - x19*x4 - x2*x25 + x2*x3 + x2*x32 + x2*x56 - x2*x59 + x20*x21 + x20*x44 - x20*x52 - x20*x69 + x20*x74 + x22*x23 + x22*x58 - x22*x65 - x22*x70 + x22*x77 + x24*x6 - x26*x4 - x27*x6 + x28*x29 - x28*x34 - x28*x46 + x28*x49 + x28*x60 - x28*x63 - x29*x33 + x30*x31 - x30*x39 - x30*x47 + x30*x53 + x30*x72 - x30*x75 - x31*x38 + x33*x34 + x33*x46 - x33*x49 - x33*x60 + x33*x63 + x35*x36 - x35*x41 - x35*x61 + x35*x66 + x35*x73 - x35*x78 - x36*x40 + x37*x4 + x38*x39 + x38*x47 - x38*x53 - x38*x72 + x38*x75 + x4*x5 + x4*x68 - x4*x71 + x40*x41 + x40*x61 - x40*x66 - x40*x73 + x40*x78 - x42*x6 - x43*x8 + x45*x6 + x48*x8 + x50*x51 - x50*x55 - x50*x64 + x50*x67 + x50*x76 - x50*x79 - x51*x54 + x54*x55 + x54*x64 - x54*x67 - x54*x76 + x54*x79 + x57*x8 + x6*x7 - x62*x8 + x8*x9) else: # TODO algorithm? import numpy as np return float(np.linalg.det(matrix)) def inv(matrix): """5 has way too many multiplies. >> from sympy import * >> from sympy.abc import * >> Matrix([a]).inv() Matrix([[1/a]]) >> cse(Matrix([[a, b], [c, d]]).inv()) Matrix([ [1/a + b*c/(a**2*(d - b*c/a)), -b/(a*(d - b*c/a))], [ -c/(a*(d - b*c/a)), 1/(d - b*c/a)]]) >> m_3 = Matrix([[a, b, c], [d, e, f], [g, h, i]]) >> #cse(m_3.inv()) >> m_4 = Matrix([[a, b, c, d], [e, f, g, h], [i, j, k, l], [m, n, o, p]]) >> cse(m_4.inv()) # Note: for 3, 4 - forgot to generate code using optimizations='basic' """ size = len(matrix) if size == 1: try: return [1.0/matrix[0]] except: return [1.0/matrix[0][0]] elif size == 2: try: (a, b), (c, d) = matrix x0 = 1.0/a x1 = b*x0 x2 = 1.0/(d - c*x1) x3 = c*x2 return [[x0 + b*x3*x0*x0, -x1*x2], [-x0*x3, x2]] except: import numpy as np return np.linalg.inv(matrix).tolist() elif size == 3: (a, b, c), (d, e, f), (g, h, i) = matrix x0 = 1./a x1 = b*d x2 = e - x0*x1 x3 = 1./x2 x4 = b*g x5 = h - x0*x4 x6 = x0*x3 x7 = d*x6 x8 = -g*x0 + x5*x7 x9 = c*d x10 = f - x0*x9 x11 = b*x6 x12 = c*x0 - x10*x11 x13 = a*e x14 = -x1 + x13 x15 = 1./(-a*f*h - c*e*g + f*x4 + h*x9 - i*x1 + i*x13) x16 = x14*x15 x17 = x12*x16 x18 = x14*x15*x3 x19 = x18*x5 x20 = x10*x18 return [[x0 - x17*x8 + x1*x3*x0*x0, -x11 + x12*x19, -x17], [-x20*x8 - x7, x10*x16*x5*x2**-2 + x3, -x20], [ x16*x8, -x19, x16]] elif size == 4: (a, b, c, d), (e, f, g, h), (i, j, k, l), (m, n, o, p) = matrix x0 = 1./a x1 = b*e x2 = f - x0*x1 x3 = 1./x2 x4 = i*x0 x5 = -b*x4 + j x6 = x0*x3 x7 = e*x6 x8 = -x4 + x5*x7 x9 = c*x0 x10 = -e*x9 + g x11 = b*x6 x12 = -x10*x11 + x9 x13 = a*f x14 = -x1 + x13 x15 = k*x13 x16 = b*g*i x17 = c*e*j x18 = a*g*j x19 = k*x1 x20 = c*f*i x21 = x15 + x16 + x17 - x18 - x19 - x20 x22 = 1/x21 x23 = x14*x22 x24 = x12*x23 x25 = m*x0 x26 = -b*x25 + n x27 = x26*x3 x28 = -m*x9 + o - x10*x27 x29 = x23*x8 x30 = -x25 + x26*x7 - x28*x29 x31 = d*x0 x32 = -e*x31 + h x33 = x3*x32 x34 = -i*x31 + l - x33*x5 x35 = -x11*x32 - x24*x34 + x31 x36 = a*n x37 = g*l x38 = h*o x39 = l*o x40 = b*m x41 = h*k x42 = c*l x43 = f*m x44 = c*h x45 = i*n x46 = d*k x47 = e*n x48 = d*o x49 = d*g x50 = j*m x51 = 1.0/(a*j*x38 - b*i*x38 - e*j*x48 + f*i*x48 + p*x15 + p*x16 + p*x17 - p*x18 - p*x19 - p*x20 + x1*x39 - x13*x39 + x36*x37 - x36*x41 - x37*x40 + x40*x41 + x42*x43 - x42*x47 - x43*x46 + x44*x45 - x44*x50 - x45*x49 + x46*x47 + x49*x50) x52 = x21*x51 x53 = x35*x52 x54 = x14*x22*x3 x55 = x5*x54 x56 = -x27 + x28*x55 x57 = x52*x56 x58 = x14*x51 x59 = x28*x58 x60 = x10*x54 x61 = x33 - x34*x60 x62 = x52*x61 x63 = x34*x58 return [[x0 - x24*x8 - x30*x53 + x1*x3*x0*x0, -x11 + x12*x55 - x35*x57, -x24 + x35*x59, -x53], [-x30*x62 - x60*x8 - x7, x10*x23*x5*x2**-2 + x3 - x56*x62, x59*x61 - x60, -x62], [x29 - x30*x63, -x55 - x56*x63, x14*x14*x22*x28*x34*x51 + x23, -x63], [x30*x52, x57, -x59, x52]] else: return inv_lu(matrix) # TODO algorithm? # import numpy as np # return np.linalg.inv(matrix).tolist() def shape(value): '''Find and return the shape of an array, whether it is a numpy array or a list-of-lists or other combination of iterators. Parameters ---------- value : various Input array, [-] Returns ------- shape : tuple(int, dimension) Dimensions of array, [-] Notes ----- It is assumed the shape is consistent - not something like [[1.1, 2.2], [2.4]] Examples -------- >>> shape([]) (0,) >>> shape([1.1, 2.2, 5.5]) (3,) >>> shape([[1.1, 2.2, 5.5], [2.0, 1.1, 1.5]]) (2, 3) >>> shape([[[1.1,], [2.0], [1.1]]]) (1, 3, 1) >>> shape(['110-54-3']) (1,) ''' try: return value.shape except: pass dims = [len(value)] try: # Except this block to handle the case of no value iter_value = value[0] for i in range(10): # try: if type(iter_value) in primitive_containers: dims.append(len(iter_value)) iter_value = iter_value[0] else: break # except: # break except: pass return tuple(dims) # try: # try: # new_shape = (len(value), len(value[0]), len(value[0][0])) # except: # new_shape = (len(value), len(value[0])) # except: # new_shape = (len(value),) # return new_shape def eye(N): mat = [] for i in range(N): r = [0.0]*N r[i] = 1.0 mat.append(r) return mat def dot(a, b): try: ab = [sum([ri*bi for ri, bi in zip(row, b)]) for row in a] except: ab = [sum([ai*bi for ai, bi in zip(a, b)])] return ab def inner_product(a, b): tot = 0.0 for i in range(len(a)): tot += a[i]*b[i] return tot def inplace_LU(A, ipivot, N): Np1 = N+1 for j in range(1, Np1): for i in range(1, j): tot = A[i][j] for k in range(1, i): tot -= A[i][k]*A[k][j] A[i][j] = tot apiv = 0.0 for i in range(j, Np1): tot = A[i][j] for k in range(1, j): tot -= A[i][k]*A[k][j] A[i][j] = tot if apiv < abs(A[i][j]): apiv, ipiv = abs(A[i][j]), i if apiv == 0: raise ValueError("Singular matrix") ipivot[j] = ipiv if ipiv != j: for k in range(1, Np1): t = A[ipiv][k] A[ipiv][k] = A[j][k] A[j][k] = t Ajjinv = 1.0/A[j][j] for i in range(j+1, Np1): A[i][j] *= Ajjinv return None def solve_from_lu(A, pivots, b, N): Np1 = N + 1 # Note- list call is very slow faster to replace with [i for i in row] b = [0.0] + [i for i in b] #list(b) for i in range(1, Np1): tot = b[pivots[i]] b[pivots[i]] = b[i] for j in range(1, i): tot -= A[i][j]*b[j] b[i] = tot for i in range(N, 0, -1): tot = b[i] for j in range(i+1, Np1): tot -= A[i][j]*b[j] b[i] = tot/A[i][i] return b def solve_LU_decomposition(A, b): N = len(b) A_copy = [[0.0]*(N+1)] for row in A: # Note- list call is very slow faster to replace with [i for i in row] r = [0.0] + [i for i in row] # r = list(row) # r.insert(0, 0.0) A_copy.append(r) pivots = [0.0]*(N+1) inplace_LU(A_copy, pivots, N) return solve_from_lu(A_copy, pivots, b, N)[1:] def inv_lu(a): N = len(a) Np1 = N + 1 A_copy = [[0.0]*Np1] for row in a: # Note- list call is very slow faster to replace with [i for i in row] r = list(row) r.insert(0, 0.0) A_copy.append(r) a = A_copy ainv = [[0.0]*N for i in range(N)] pivots = [0]*Np1 inplace_LU(a, pivots, N) for j in range(N): b = [0.0]*N b[j] = 1.0 b = solve_from_lu(a, pivots, b, N)[1:] for i in range(N): ainv[i][j] = b[i] return ainv def solve(a, b): if len(a) > 4: if IS_PYPY or np is None: return solve_LU_decomposition(a, b) import numpy as np return np.linalg.solve(a, b).tolist() else: return dot(inv(a), b) def norm2(arr): tot = 0.0 for i in arr: tot += i*i return sqrt(tot) def array_as_tridiagonals(arr): row_last = arr[0] a, b, c = [], [row_last[0]], [] for i in range(1, len(row_last)): row = arr[i] b.append(row[i]) c.append(row_last[i]) a.append(row[i-1]) row_last = row return a, b, c def tridiagonals_as_array(a, b, c, zero=0.0): N = len(b) arr = [[zero]*N for _ in range(N)] row_last = arr[0] row_last[0] = b[0] for i in range(1, N): row = arr[i] row[i] = b[i] # set the middle row back row[i-1] = a[i-1] row_last[i] = c[i-1] row_last = row return arr def solve_tridiagonal(a, b, c, d): b, d = [i for i in b], [i for i in d] N = len(d) for i in range(N - 1): m = a[i]/b[i] b[i+1] -= m*c[i] d[i+1] -= m*d[i] b[-1] = d[-1]/b[-1] for i in range(N-2, -1, -1): b[i] = (d[i] - c[i]*b[i+1])/b[i] return b def subset_matrix(whole, subset): if type(subset) is slice: subset = range(subset.start, subset.stop, subset.step) # N = len(subset) # new = [[None]*N for i in range(N)] # for ni, i in enumerate(subset): # for nj,j in enumerate(subset): # new[ni][nj] = whole[i][j] new = [] for i in subset: whole_i = whole[i] # r = [whole_i[j] for j in subset] # new.append(r) new.append([whole_i[j] for j in subset]) # r = [] # for j in subset: # r.append(whole_i[j]) return new fluids-1.0.22/fluids/compressible.pyi0000644000175000017500000001311514302004506017103 0ustar nileshnilesh# DO NOT EDIT - AUTOMATICALLY GENERATED BY tests/make_test_stubs.py! from __future__ import annotations from typing import List from typing import ( Optional, Union, ) def Fritzsche( SG: float, Tavg: float, L: Optional[float] = ..., D: Optional[float] = ..., P1: Optional[float] = ..., P2: Optional[float] = ..., Q: Optional[float] = ..., Ts: float = ..., Ps: float = ..., Zavg: float = ..., E: float = ... ) -> float: ... def IGT( SG: float, Tavg: float, mu: float, L: Optional[float] = ..., D: Optional[float] = ..., P1: Optional[float] = ..., P2: Optional[float] = ..., Q: Optional[float] = ..., Ts: float = ..., Ps: float = ..., Zavg: float = ..., E: float = ... ) -> float: ... def Muller( SG: float, Tavg: float, mu: float, L: Optional[float] = ..., D: Optional[float] = ..., P1: Optional[float] = ..., P2: Optional[float] = ..., Q: Optional[float] = ..., Ts: float = ..., Ps: float = ..., Zavg: float = ..., E: float = ... ) -> float: ... def Oliphant( SG: float, Tavg: float, L: Optional[float] = ..., D: Optional[float] = ..., P1: Optional[float] = ..., P2: Optional[float] = ..., Q: Optional[float] = ..., Ts: float = ..., Ps: float = ..., Zavg: float = ..., E: float = ... ) -> float: ... def P_critical_flow(P: float, k: float) -> float: ... def P_isothermal_critical_flow(P: float, fd: float, D: float, L: float) -> float: ... def P_stagnation(P: float, T: float, Tst: float, k: float) -> float: ... def P_upstream_isothermal_critical_flow(P: float, fd: float, D: float, L: float) -> float: ... def Panhandle_A( SG: float, Tavg: float, L: Optional[float] = ..., D: Optional[float] = ..., P1: Optional[float] = ..., P2: Optional[float] = ..., Q: Optional[float] = ..., Ts: float = ..., Ps: float = ..., Zavg: float = ..., E: float = ... ) -> float: ... def Panhandle_B( SG: float, Tavg: float, L: Optional[float] = ..., D: Optional[float] = ..., P1: Optional[float] = ..., P2: Optional[float] = ..., Q: Optional[float] = ..., Ts: float = ..., Ps: float = ..., Zavg: float = ..., E: float = ... ) -> float: ... def Spitzglass_high( SG: float, Tavg: float, L: Optional[float] = ..., D: Optional[float] = ..., P1: Optional[float] = ..., P2: Optional[float] = ..., Q: Optional[float] = ..., Ts: float = ..., Ps: float = ..., Zavg: float = ..., E: float = ... ) -> float: ... def Spitzglass_low( SG: float, Tavg: float, L: Optional[float] = ..., D: Optional[float] = ..., P1: Optional[float] = ..., P2: Optional[float] = ..., Q: Optional[float] = ..., Ts: float = ..., Ps: float = ..., Zavg: float = ..., E: float = ... ) -> float: ... def T_critical_flow(T: float, k: float) -> float: ... def T_stagnation(T: float, P: float, Pst: float, k: float) -> float: ... def T_stagnation_ideal(T: float, V: float, Cp: float) -> float: ... def Weymouth( SG: float, Tavg: float, L: Optional[float] = ..., D: Optional[float] = ..., P1: Optional[float] = ..., P2: Optional[float] = ..., Q: Optional[float] = ..., Ts: float = ..., Ps: float = ..., Zavg: float = ..., E: float = ... ) -> float: ... def _to_solve_Oliphant( D: float, Q: float, SG: float, Tavg: float, L: float, P1: float, P2: float, Ts: float, Ps: float, Zavg: float, E: float ) -> float: ... def _to_solve_Spitzglass_high( D: float, Q: float, SG: float, Tavg: float, L: float, P1: float, P2: float, Ts: float, Ps: float, Zavg: float, E: float ) -> float: ... def _to_solve_Spitzglass_low( D: float, Q: float, SG: float, Tavg: float, L: float, P1: float, P2: float, Ts: float, Ps: float, Zavg: float, E: float ) -> float: ... def is_critical_flow(P1: float, P2: float, k: float) -> bool: ... def isentropic_T_rise_compression( T1: float, P1: float, P2: float, k: float, eta: float = ... ) -> float: ... def isentropic_efficiency( P1: float, P2: float, k: float, eta_s: Optional[float] = ..., eta_p: Optional[float] = ... ) -> float: ... def isentropic_work_compression( T1: Optional[float], k: float, Z: float = ..., P1: Optional[float] = ..., P2: Optional[float] = ..., W: Optional[float] = ..., eta: Optional[float] = ... ) -> float: ... def isothermal_gas( rho: float, fd: float, P1: Optional[float] = ..., P2: Optional[float] = ..., L: Optional[float] = ..., D: Optional[float] = ..., m: Optional[float] = ... ) -> float: ... def isothermal_gas_err_D(D: float, m: float, rho: float, fd: float, P1: float, P2: float, L: float) -> float: ... def isothermal_gas_err_P1( P1: float, fd: float, rho: float, P2: float, L: float, D: float, m: float ) -> float: ... def isothermal_gas_err_P2( P2: float, rho: float, fd: float, P1: float, L: float, D: float, m: float ) -> float: ... def isothermal_gas_err_P2_basis( P1: float, P2: float, rho: float, fd: float, m: float, L: float, D: float ) -> float: ... def isothermal_work_compression(P1: float, P2: float, T: float, Z: float = ...) -> float: ... def polytropic_exponent(k: float, n: Optional[float] = ..., eta_p: Optional[float] = ...) -> float: ... def stagnation_energy(V: float) -> float: ... __all__: List[str]fluids-1.0.22/fluids/packed_tower.py0000644000175000017500000006504414302004506016722 0ustar nileshnilesh# -*- coding: utf-8 -*- """Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2016, Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. This module contains correlations and functions for calculating pressure drop from packings and demisters; separation efficiency of demisters; demister pressure drop; and demister geometry. For reporting bugs, adding feature requests, or submitting pull requests, please use the `GitHub issue tracker `_ or contact the author at Caleb.Andrew.Bell@gmail.com. .. contents:: :local: Packing Pressure Drop --------------------- .. autofunction:: fluids.packed_tower.Robbins .. autofunction:: fluids.packed_tower.Stichlmair_dry .. autofunction:: fluids.packed_tower.Stichlmair_wet Packing Flooding ---------------- .. autofunction:: fluids.packed_tower.Stichlmair_flood Demister Pressure Drop ---------------------- .. autofunction:: fluids.packed_tower.dP_demister_dry_Setekleiv_Svendsen .. autofunction:: fluids.packed_tower.dP_demister_dry_Setekleiv_Svendsen_lit .. autofunction:: fluids.packed_tower.dP_demister_wet_ElDessouky Demister Separation Efficiency ------------------------------ .. autofunction:: fluids.packed_tower.separation_demister_ElDessouky Demister Geometry ----------------- .. autofunction:: fluids.packed_tower.voidage_experimental .. autofunction:: fluids.packed_tower.specific_area_mesh """ from __future__ import division from math import log, sqrt from fluids.constants import g, pi from fluids.numerics import secant, newton_system, solve_2_direct, numpy as np __all__ = ['voidage_experimental', 'specific_area_mesh', 'Stichlmair_dry', 'Stichlmair_wet', 'Stichlmair_flood', 'Robbins', 'dP_demister_dry_Setekleiv_Svendsen_lit', 'dP_demister_dry_Setekleiv_Svendsen', 'dP_demister_wet_ElDessouky', 'separation_demister_ElDessouky'] ### Demister def dP_demister_dry_Setekleiv_Svendsen(S, voidage, vs, rho, mu, L=1.0): r'''Calculates dry pressure drop across a demister, using the correlation in [1]_. This model is for dry demisters with no holdup only. .. math:: \frac{\Delta P \epsilon^2}{\rho_f v^2} = 10.29 - \frac{565} {69.6SL - (SL)^2 - 779} - \frac{74.9}{160.9 - 4.85SL} + 45.33\left( \frac{\mu_f \epsilon S^2 L}{\rho_f v}\right)^{0.75} Parameters ---------- S : float Specific area of the demister, normally ~250-1000 [m^2/m^3] voidage : float Voidage of bed of the demister material, normally ~0.98 [] vs : float Superficial velocity of fluid, Q/A [m/s] rho : float Density of fluid [kg/m^3] mu : float Viscosity of fluid [Pa*s] L : float, optional Length of the demister [m] Returns ------- dP : float Pressure drop across a dry demister [Pa] Notes ----- Useful at startup and in modeling. Dry pressure drop is normally negligible compared to wet pressure drop. Coefficients obtained by evolutionary programming and may not fit data outside of the limits of the variables. Examples -------- >>> dP_demister_dry_Setekleiv_Svendsen(S=250, voidage=.983, vs=1.2, rho=10, mu=3E-5, L=1) 320.3280788941329 References ---------- .. [1] Setekleiv, A. Eddie, and Hallvard F. Svendsen. "Dry Pressure Drop in Spiral Wound Wire Mesh Pads at Low and Elevated Pressures." Chemical Engineering Research and Design 109 (May 2016): 141-149. doi:10.1016/j.cherd.2016.01.019. ''' term = 10.29 - 565./(69.6*S*L - (S*L)**2 - 779) - 74.9/(160.9 - 4.85*S*L) right = term + 45.33*(mu*voidage*S**2*L/rho/vs)**0.75 return right*rho*vs**2/voidage**2 def dP_demister_dry_Setekleiv_Svendsen_lit(S, voidage, vs, rho, mu, L=1.0): r'''Calculates dry pressure drop across a demister, using the correlation in [1]_. This model is for dry demisters with no holdup only. Developed with literature data included as well as their own experimental data. .. math:: \frac{\Delta P \epsilon^2}{\rho_f v^2} = 7.3 - \frac{320} {69.6SL - (SL)^2 - 779} - \frac{52.4}{161 - 4.85SL} + 27.2\left( \frac{\mu_f \epsilon S^2 L}{\rho_f v}\right)^{0.75} Parameters ---------- S : float Specific area of the demister, normally ~250-1000 [m^2/m^3] voidage : float Voidage of bed of the demister material, normally ~0.98 [] vs : float Superficial velocity of fluid, Q/A [m/s] rho : float Density of fluid [kg/m^3] mu : float Viscosity of fluid [Pa*s] L : float, optional Length of the demister [m] Returns ------- dP : float Pressure drop across a dry demister [Pa] Notes ----- Useful at startup and in modeling. Dry pressure drop is normally negligible compared to wet pressure drop. Coefficients obtained by evolutionary programming and may not fit data outside of the limits of the variables. Examples -------- >>> dP_demister_dry_Setekleiv_Svendsen_lit(S=250, voidage=.983, vs=1.2, rho=10, mu=3E-5, L=1.0) 209.083848658307 References ---------- .. [1] Setekleiv, A. Eddie, and Hallvard F. Svendsen. "Dry Pressure Drop in Spiral Wound Wire Mesh Pads at Low and Elevated Pressures." Chemical Engineering Research and Design 109 (May 2016): 141-149. doi:10.1016/j.cherd.2016.01.019. ''' term = 7.3 - 320./(69.6*S*L - (S*L)**2 - 779) - 52.4/(161 - 4.85*S*L) right = term + 27.2*(mu*voidage*S**2*L/rho/vs)**0.75 return right*rho*vs**2/voidage**2 def dP_demister_wet_ElDessouky(vs, voidage, d_wire, L=1.0): r'''Calculates wet pressure drop across a demister, using the correlation in [1]_. Uses only their own experimental data. .. math:: \frac{\Delta P}{L} = 0.002357(1-\epsilon)^{0.375798}(V)^{0.81317} (d_w)^{-1.56114147} Parameters ---------- vs : float Superficial velocity of fluid, Q/A [m/s] voidage : float Voidage of bed of the demister material, normally ~0.98 [] d_wire : float Diameter of mesh wire,[m] L : float, optional Length of the demister [m] Returns ------- dP : float Pressure drop across a dry demister [Pa] Notes ----- No dependency on the liquid properties is included here. Because of the exponential nature of the correlation, the limiting pressure drop as V is lowered is 0 Pa. A dry pressure drop correlation should be compared with results from this at low velocities, and the larger of the two pressure drops used. The correlation in [1]_ was presented as follows, with wire diameter in units of mm, density in kg/m^3, V in m/s, and dP in Pa/m. .. math:: \Delta P = 3.88178(\rho_{mesh})^{0.375798}(V)^{0.81317} (d_w)^{-1.56114147} Here, the correlation is converted to base SI units and to use voidage; not all demisters are stainless steel as in [1]_. A density of 7999 kg/m^3 was used in the conversion. In [1]_, V ranged from 0.98-7.5 m/s, rho from 80.317-208.16 kg/m^3, depth from 100 to 200 mm, wire diameter of 0.2mm to 0.32 mm, and particle diameter from 1 to 5 mm. Examples -------- >>> dP_demister_wet_ElDessouky(6, 0.978, 0.00032) 688.9216420105029 References ---------- .. [1] El-Dessouky, Hisham T, Imad M Alatiqi, Hisham M Ettouney, and Noura S Al-Deffeeri. "Performance of Wire Mesh Mist Eliminator." Chemical Engineering and Processing: Process Intensification 39, no. 2 (March 2000): 129-39. doi:10.1016/S0255-2701(99)00033-1. ''' return L*0.002356999643727531*(1-voidage)**0.375798*vs**0.81317*d_wire**-1.56114147 def separation_demister_ElDessouky(vs, voidage, d_wire, d_drop): r'''Calculates droplet removal by a demister as a fraction from 0 to 1, using the correlation in [1]_. Uses only their own experimental data. .. math:: \eta = 0.85835(d_w)^{-0.28264}(1-\epsilon)^{0.099625}(V)^{0.106878} (d_p)^{0.383197} Parameters ---------- vs : float Superficial velocity of fluid, Q/A [m/s] voidage : float Voidage of bed of the demister material, normally ~0.98 [] d_wire : float Diameter of mesh wire,[m] d_drop : float Drop diameter, [m] Returns ------- eta : float Fraction droplets removed by mass [-] Notes ----- No dependency on the liquid properties is included here. Because of the exponential nature of the correlation, for smaller diameters separation quickly lowers. This correlation can predict a separation larger than 1 for higher velocities, lower voidages, lower wire diameters, and large droplet sizes. This function truncates these larger values to 1. The correlation in [1]_ was presented as follows, with wire diameter in units of mm, density in kg/m^3, V in m/s, separation in %, and particle diameter in mm. .. math:: \eta = 17.5047(d_w)^{-0.28264}(\rho_{mesh})^{0.099625}(V)^{0.106878} (d_p)^{0.383197} Here, the correlation is converted to base SI units and to use voidage; not all demisters are stainless steel as in [1]_. A density of 7999 kg/m^3 was used in the conversion. In [1]_, V ranged from 0.98-7.5 m/s, rho from 80.317-208.16 kg/m^3, depth from 100 to 200 mm, wire diameter of 0.2 mm to 0.32 mm, and particle diameter from 1 to 5 mm. Examples -------- >>> separation_demister_ElDessouky(1.35, 0.974, 0.0002, 0.005) 0.8982892997640582 References ---------- .. [1] El-Dessouky, Hisham T, Imad M Alatiqi, Hisham M Ettouney, and Noura S Al-Deffeeri. "Performance of Wire Mesh Mist Eliminator." Chemical Engineering and Processing: Process Intensification 39, no. 2 (March 2000): 129-39. doi:10.1016/S0255-2701(99)00033-1. ''' eta = 0.858352355761947*d_wire**-0.28264*(1-voidage)**0.099625*vs**0.106878*d_drop**0.383197 return min(eta, 1.0) def voidage_experimental(m, rho, D, H): r'''Calculates voidage of a bed or mesh given an experimental weight and fixed density, diameter, and height, as shown in [1]_. The formula is also self-evident. .. math:: \epsilon = 1 - \frac{\frac{m_{mesh}}{\frac{\pi}{4}d_{column}^2 L_{mesh}}}{\rho_{material}} Parameters ---------- m : float Mass of mesh or bed particles weighted, [kg] rho : float Density of solid particles or mesh [kg/m^3] D : float Diameter of the cylindrical bed [m] H : float Height of the demister or bed [m] Returns ------- voidage : float Voidage of bed of the material [] Notes ----- Should be trusted over manufacturer data. Examples -------- >>> voidage_experimental(m=126, rho=8000, D=1, H=1) 0.9799464771704212 References ---------- .. [1] Helsør, T., and H. Svendsen. "Experimental Characterization of Pressure Drop in Dry Demisters at Low and Elevated Pressures." Chemical Engineering Research and Design 85, no. 3 (2007): 377-85. doi:10.1205/cherd06048. ''' return 1 - m/(pi/4*D**2*H)/rho def specific_area_mesh(voidage, d): r'''Calculates the specific area of a wire mesh, as used in demisters or filters. Shown in [1]_, and also self-evident and non-empirical. Makes the ideal assumption that wires never touch. .. math:: S = \frac{4(1-\epsilon)}{d_{wire}} Parameters ---------- voidage : float Voidage of the mesh [] d : float Diameter of the wires making the mesh, [m] Returns ------- S : float Specific area of the mesh [m^2/m^3] Notes ----- Should be preferred over manufacturer data. Can also be used to show that manufacturer's data is inconsistent with their claimed voidage and wire diameter. Examples -------- >>> specific_area_mesh(voidage=.934, d=3e-4) 879.9999999999994 References ---------- .. [1] Helsør, T., and H. Svendsen. "Experimental Characterization of Pressure Drop in Dry Demisters at Low and Elevated Pressures." Chemical Engineering Research and Design 85, no. 3 (2007): 377-85. doi:10.1205/cherd06048. ''' return 4*(1-voidage)/d ### Packing def Stichlmair_dry(Vg, rhog, mug, voidage, specific_area, C1, C2, C3, H=1.): r'''Calculates dry pressure drop across a packed column, using the Stichlmair [1]_ correlation. Uses three regressed constants for each type of packing, and voidage and specific area. Pressure drop is given by: .. math:: \Delta P_{dry} = \frac{3}{4} f_0 \frac{1-\epsilon}{\epsilon^{4.65}} \rho_G \frac{H}{d_p}V_g^2 .. math:: f_0 = \frac{C_1}{Re_g} + \frac{C_2}{Re_g^{0.5}} + C_3 .. math:: d_p = \frac{6(1-\epsilon)}{a} Parameters ---------- Vg : float Superficial velocity of gas, Q/A [m/s] rhog : float Density of gas [kg/m^3] mug : float Viscosity of gas [Pa*s] voidage : float Voidage of bed of packing material [] specific_area : float Specific area of the packing material [m^2/m^3] C1 : float Packing-specific constant [] C2 : float Packing-specific constant [] C3 : float Packing-specific constant [] H : float, optional Height of packing [m] Returns ------- dP_dry : float Pressure drop across dry packing [Pa] Notes ----- This model is used by most process simulation tools. If H is not provided, it defaults to 1. If Z is not provided, it defaults to 1. Examples -------- >>> Stichlmair_dry(Vg=0.4, rhog=5., mug=5E-5, voidage=0.68, ... specific_area=260., C1=32., C2=7.0, C3=1.0) 236.80904286559885 References ---------- .. [1] Stichlmair, J., J. L. Bravo, and J. R. Fair. "General Model for Prediction of Pressure Drop and Capacity of Countercurrent Gas/liquid Packed Columns." Gas Separation & Purification 3, no. 1 (March 1989): 19-28. doi:10.1016/0950-4214(89)80016-7. ''' dp = 6*(1-voidage)/specific_area Re = Vg*rhog*dp/mug f0 = C1/Re + C2/sqrt(Re) + C3 return 3/4.*f0*(1-voidage)/voidage**4.65*rhog*H/dp*Vg**2 def _Stichlmair_wet_err(dP_irr, h0, c1, dP_dry, H, voidage, c): hT = h0*(1.0 + 20.0*dP_irr*dP_irr*c1) err = dP_dry/H*((1-voidage+hT)/(1.0 - voidage))**((2.0 + c)/3.)*(voidage/(voidage-hT))**4.65 -dP_irr/H return err def Stichlmair_wet(Vg, Vl, rhog, rhol, mug, voidage, specific_area, C1, C2, C3, H=1.0): r'''Calculates dry pressure drop across a packed column, using the Stichlmair [1]_ correlation. Uses three regressed constants for each type of packing, and voidage and specific area. This model is for irrigated columns only. Pressure drop is given by: .. math:: \frac{\Delta P_{irr}}{H} = \frac{\Delta P_{dry}}{H}\left(\frac {1-\epsilon + h_T}{1-\epsilon}\right)^{(2+c)/3} \left(\frac{\epsilon}{\epsilon-h_T}\right)^{4.65} .. math:: h_T = h_0\left[1 + 20\left(\frac{\Delta Pirr}{H\rho_L g}\right)^2\right] .. math:: Fr_L = \frac{V_L^2 a}{g \epsilon^{4.65}} .. math:: h_0 = 0.555 Fr_L^{1/3} .. math:: c = \frac{-C_1/Re_g - C_2/(2Re_g^{0.5})}{f_0} .. math:: \Delta P_{dry} = \frac{3}{4} f_0 \frac{1-\epsilon}{\epsilon^{4.65}} \rho_G \frac{H}{d_p}V_g^2 .. math:: f_0 = \frac{C_1}{Re_g} + \frac{C_2}{Re_g^{0.5}} + C_3 .. math:: d_p = \frac{6(1-\epsilon)}{a} Parameters ---------- Vg : float Superficial velocity of gas, Q/A [m/s] Vl : float Superficial velocity of liquid, Q/A [m/s] rhog : float Density of gas [kg/m^3] rhol : float Density of liquid [kg/m^3] mug : float Viscosity of gas [Pa*s] voidage : float Voidage of bed of packing material [] specific_area : float Specific area of the packing material [m^2/m^3] C1 : float Packing-specific constant [] C2 : float Packing-specific constant [] C3 : float Packing-specific constant [] H : float, optional Height of packing [m] Returns ------- dP : float Pressure drop across irrigated packing [Pa] Notes ----- This model is used by most process simulation tools. If H is not provided, it defaults to 1. If Z is not provided, it defaults to 1. A numerical solver is used and needed by this model. Its initial guess is the dry pressure drop. Convergence problems may occur. The model as described in [1]_ appears to have a typo, and could not match the example. As described in [2]_, however, the model works. Examples -------- Example is from [1]_, matches. >>> Stichlmair_wet(Vg=0.4, Vl = 5E-3, rhog=5., rhol=1200., mug=5E-5, ... voidage=0.68, specific_area=260., C1=32., C2=7., C3=1.) 539.876823725352 References ---------- .. [1] Stichlmair, J., J. L. Bravo, and J. R. Fair. "General Model for Prediction of Pressure Drop and Capacity of Countercurrent Gas/liquid Packed Columns." Gas Separation & Purification 3, no. 1 (March 1989): 19-28. doi:10.1016/0950-4214(89)80016-7. .. [2] Piche, Simon R., Faical Larachi, and Bernard P. A. Grandjean. "Improving the Prediction of Irrigated Pressure Drop in Packed Absorption Towers." The Canadian Journal of Chemical Engineering 79, no. 4 (August 1, 2001): 584-94. doi:10.1002/cjce.5450790417. ''' dp = 6.0*(1.0 - voidage)/specific_area Re = Vg*rhog*dp/mug f0 = C1/Re + C2/sqrt(Re) + C3 dP_dry = 3/4.*f0*(1-voidage)/voidage**4.65*rhog*H/dp*Vg*Vg c = (-C1/Re - C2/(2*sqrt(Re)))/f0 Frl = Vl**2*specific_area/(g*voidage**4.65) h0 = 0.555*Frl**(1/3.) c1 = 1.0/(H*rhol*g) c1 *= c1 return secant(_Stichlmair_wet_err, dP_dry, args=(h0, c1, dP_dry, H, voidage, c)) def _Stichlmair_flood_f(inputs, Vl, rhog, rhol, mug, voidage, specific_area, C1, C2, C3, H): """Internal function which calculates the errors of the two Stichlmair objective functions, and their jacobian.""" Vg, dP_irr = float(inputs[0]), float(inputs[1]) dp = 6.0*(1.0 - voidage)/specific_area Re = Vg*rhog*dp/mug f0 = C1/Re + C2/sqrt(Re) + C3 dP_dry = 0.75*f0*(1.0 - voidage)/voidage**4.65*rhog*H/dp*Vg*Vg c = (-C1/Re - 0.5*C2*1.0/sqrt(Re))/f0 Frl = Vl*Vl*specific_area/(g*voidage**4.65) h0 = 0.555*Frl**(1/3.) hT = h0*(1.0 + 20.0*(dP_irr/H/rhol/g)**2) err1 = dP_dry/H*((1.0 - voidage + hT)/(1.0 - voidage))**((2.0 + c)/3.)*(voidage/(voidage-hT))**4.65 - dP_irr/H term = (dP_irr/(rhol*g*H))**2 err2 = (1./term - 40.0*((2.0+c)/3.)*h0/(1.0 - voidage + h0*(1.0 + 20.0*term)) - 186.0*h0/(voidage - h0*(1.0 + 20.0*term))) return err1, err2 def _Stichlmair_flood_f_and_jac(inputs, Vl, rhog, rhol, mug, voidage, specific_area, C1, C2, C3, H): """Internal function which calculates the errors of the two Stichlmair objective functions, and their jacobian. Derived using SymPy on the main flooding function. """ Vg, dP_irr = inputs[0], inputs[1] x0 = 1.0/H x1 = Vg*Vg x2 = voidage**(-4.65) x3 = specific_area*x2 x4 = Vl*Vl*x3/g x5 = x4**0.333333333333333 x6 = dP_irr*dP_irr x7 = H*H x8 = 1.0/x7 x9 = g*g x10 = 1.0/x9 x11 = rhol*rhol x12 = 1.0/x11 x13 = x5*(20.0*x10*x12*x6*x8 + 1.0) x14 = 0.555*x13 x15 = (voidage/(voidage - x14))**4.65 x16 = 1.0/Vg x17 = 1.0/rhog x18 = voidage - 1.0 x19 = 1.0/x18 x20 = C1*mug*specific_area*x16*x17*x19 x21 = 2.44948974278318*C2 x22 = Vg*rhog/(mug*specific_area) x23 = x21*1.0/sqrt(-x18*x22) x24 = 6.0*C3 - x20 + x23 x25 = 1.0 - voidage x26 = x14 + x25 x27 = -x19*x26 x28 = 2.0*C1*mug*specific_area*x16*x17/x25 + x21*1.0/sqrt(x22*x25) x29 = 1.0/x24 x30 = x28*x29 x31 = x27**(-0.166666666666667*x30 + 0.666666666666667) x32 = x11*x7*x9 x33 = 200.0*voidage x34 = 111.0*x13 x35 = x33 - x34 x36 = 1.0/x35 x37 = -x33 + x34 + 200.0 x38 = 1.0/x37 x39 = 2.0*x20 x40 = -4.0*x20 + x23 + x29*(-x23 + x39)*(x23 - x39) x41 = dP_irr*rhog*specific_area*x0*x1*x10*x12*x15*x2*x24*x31 x42 = dP_irr*x10*x12*x4**0.666666666666667*x8 F1, F2, dF1_dVg, dF2_dVg, dF1_dP_irr, dF2_dP_irr = ( -dP_irr*x0 + 0.0208333333333333*rhog*specific_area*x1*x15*x2*x24*x31, x32/x6 - 20646.0*x36*x5 - x38*x5*(2960.0 - 740.0*x28*x29), 0.00173611111111111*Vg*rhog*x15*x3*x31*(144.0*C3 - 12.0*x20 + 18.0*x23 + x40*log(x27)), x0*(430.125*x36*x41*x5 - 15.4166666666667*x38*x41*x5*(x30 - 4.0) - 1.0), -1.85*x16*x29*x40*x5/x26, 3285600.0*x42*(-x30 + 4.0)*x38*x38- 91668240.0*x42*x36*x36 - 2.0*x32/(dP_irr*x6)) err = [0.0]*2 err[0] = F1 err[1] = F2 jac = [[dF1_dVg, dF2_dVg], [dF1_dP_irr, dF2_dP_irr]]# numba: delete # jac = np.array([[dF1_dVg, dF2_dVg], [dF1_dP_irr, dF2_dP_irr]]) # numba: uncomment return err, jac def Stichlmair_flood(Vl, rhog, rhol, mug, voidage, specific_area, C1, C2, C3, H=1.0): r'''Calculates gas rate for flooding of a packed column, using the Stichlmair [1]_ correlation. Uses three regressed constants for each type of packing, and voidage and specific area. Pressure drop is given by: .. math:: \frac{\Delta P_{irr}}{H} = \frac{\Delta P_{dry}}{H}\left(\frac {1-\epsilon + h_T}{1-\epsilon}\right)^{(2+c)/3} \left(\frac{\epsilon}{\epsilon-h_T}\right)^{4.65} .. math:: h_T = h_0\left[1 + 20\left(\frac{\Delta Pirr}{H\rho_L g}\right)^2\right] .. math:: Fr_L = \frac{V_L^2 a}{g \epsilon^{4.65}} .. math:: h_0 = 0.555 Fr_L^{1/3} .. math:: c = \frac{-C_1/Re_g - C_2/(2Re_g^{0.5})}{f_0} .. math:: \Delta P_{dry} = \frac{3}{4} f_0 \frac{1-\epsilon}{\epsilon^{4.65}} \rho_G \frac{H}{d_p}V_g^2 .. math:: f_0 = \frac{C_1}{Re_g} + \frac{C_2}{Re_g^{0.5}} + C_3 .. math:: d_p = \frac{6(1-\epsilon)}{a} Parameters ---------- Vl : float Superficial velocity of liquid, Q/A [m/s] rhog : float Density of gas [kg/m^3] rhol : float Density of liquid [kg/m^3] mug : float Viscosity of gas [Pa*s] voidage : float Voidage of bed of packing material [] specific_area : float Specific area of the packing material [m^2/m^3] C1 : float Packing-specific constant [] C2 : float Packing-specific constant [] C3 : float Packing-specific constant [] H : float, optional Height of packing [m] Returns ------- Vg : float Superficial velocity of gas, Q/A [m/s] Notes ----- A numerical solver is used to solve this model. Examples -------- Example is from [1]_, matches. >>> Stichlmair_flood(Vl = 5E-3, rhog=5., rhol=1200., mug=5E-5, ... voidage=0.68, specific_area=260., C1=32., C2=7., C3=1.) 0.6394323542746928 References ---------- .. [1] Stichlmair, J., J. L. Bravo, and J. R. Fair. "General Model for Prediction of Pressure Drop and Capacity of Countercurrent Gas/liquid Packed Columns." Gas Separation & Purification 3, no. 1 (March 1989): 19-28. doi:10.1016/0950-4214(89)80016-7. ''' guess = [0.0]*2 guess[0] = Vl*100.0 guess[1] = 1000.0 return newton_system(_Stichlmair_flood_f_and_jac, x0=guess, jac=True, args=(Vl, rhog, rhol, mug, voidage, specific_area, C1, C2, C3, H), ytol=1e-11, solve_func=solve_2_direct)[0][0] def Robbins(L, G, rhol, rhog, mul, H=1.0, Fpd=24.0): r'''Calculates pressure drop across a packed column, using the Robbins equation. Pressure drop is given by: .. math:: \Delta P = C_3 G_f^2 10^{C_4L_f}+0.4[L_f/20000]^{0.1}[C_3G_f^210^{C_4L_f}]^4 .. math:: G_f=G[0.075/\rho_g]^{0.5}[F_{pd}/20]^{0.5}=986F_s[F_{pd}/20]^{0.5} .. math:: L_f=L[62.4/\rho_L][F_{pd}/20]^{0.5}\mu^{0.1} .. math:: F_s=V_s\rho_g^{0.5} Parameters ---------- L : float Specific liquid mass flow rate [kg/s/m^2] G : float Specific gas mass flow rate [kg/s/m^2] rhol : float Density of liquid [kg/m^3] rhog : float Density of gas [kg/m^3] mul : float Viscosity of liquid [Pa*s] H : float Height of packing [m] Fpd : float Robbins packing factor (tabulated for packings) [1/ft] Returns ------- dP : float Pressure drop across packing [Pa] Notes ----- Perry's displayed equation has a typo in a superscript. This model is based on the example in Perry's. Examples -------- >>> Robbins(L=12.2, G=2.03, rhol=1000., rhog=1.1853, mul=0.001, H=2.0, Fpd=24.0) 619.6624593438102 References ---------- .. [1] Robbins [Chem. Eng. Progr., p. 87 (May 1991) Improved Pressure Drop Prediction with a New Correlation. ''' # Convert SI units to imperial for use in correlation L = L*737.33812 # kg/s/m^2 to lb/hr/ft^2 G = G*737.33812 # kg/s/m^2 to lb/hr/ft^2 rhol = rhol*0.062427961 # kg/m^3 to lb/ft^3 rhog = rhog*0.062427961 # kg/m^3 to lb/ft^3 mul = mul*1000.0 # Pa*s to cP C3 = 7.4E-8 C4 = 2.7E-5 Fpd_root_term = sqrt(.05*Fpd) Lf = L*(62.4/rhol)*Fpd_root_term*mul**0.1 Gf = G*sqrt(0.075/rhog)*Fpd_root_term Gf2 = Gf*Gf C4LF_10_GF2_C3 = C3*Gf2*10.0**(C4*Lf) C4LF_10_GF2_C3_2 = C4LF_10_GF2_C3*C4LF_10_GF2_C3 dP = C4LF_10_GF2_C3 + 0.4*(5e-5*Lf)**0.1*(C4LF_10_GF2_C3_2*C4LF_10_GF2_C3_2) return dP*817.22083*H # in. H2O to Pa/m fluids-1.0.22/fluids/pump.pyi0000644000175000017500000000204514302004506015375 0ustar nileshnilesh# DO NOT EDIT - AUTOMATICALLY GENERATED BY tests/make_test_stubs.py! from __future__ import annotations from typing import List from typing import ( Any, Optional, Union, ) def CSA_motor_efficiency(P: float, closed: bool = ..., poles: int = ..., high_efficiency: bool = ...) -> float: ... def Corripio_motor_efficiency(P: float) -> float: ... def Corripio_pump_efficiency(Q: float) -> float: ... def VFD_efficiency(P: float, load: float = ...) -> float: ... def current_ideal(P: float, V: float, phase: int = ..., PF: float = ...) -> float: ... def motor_efficiency_underloaded(P: float, load: float = ...) -> float: ... def motor_round_size(P: float) -> float: ... def specific_diameter(Q: float, H: float, D: float) -> float: ... def specific_speed(Q: float, H: float, n: float = ...) -> float: ... def speed_synchronous(f: float, poles: int = ..., phase: int = ...) -> float: ... class CountryPower: def __init__(self, country: str, voltage: Any, freq: float, plugs: Optional[Any] = ...) -> None: ... __all__: List[str]fluids-1.0.22/fluids/control_valve.py0000644000175000017500000016532714302004506017135 0ustar nileshnilesh# -*- coding: utf-8 -*- """Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2016, 2017, 2018, 2019, 2020 Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. This module contains equations for modeling control valves subject to gas or liquid flow. For reporting bugs, adding feature requests, or submitting pull requests, please use the `GitHub issue tracker `_ or contact the author at Caleb.Andrew.Bell@gmail.com. .. contents:: :local: Sizing Functions ---------------- .. autofunction:: size_control_valve_l .. autofunction:: size_control_valve_g Intermediary Sizing Calculations -------------------------------- .. autofunction:: FF_critical_pressure_ratio_l .. autofunction:: is_choked_turbulent_l .. autofunction:: is_choked_turbulent_g .. autofunction:: Reynolds_valve .. autofunction:: Reynolds_factor .. autofunction:: loss_coefficient_piping .. autofunction:: control_valve_choke_P_l .. autofunction:: control_valve_choke_P_g .. autofunction:: convert_flow_coefficient .. autofunction:: cavitation_index Representative Control Valve Curves ----------------------------------- .. autofunction:: Cv_char_linear .. autofunction:: Cv_char_quick_opening .. autofunction:: Cv_char_equal_percentage Noise Generated by Control Valves --------------------------------- .. autofunction:: control_valve_noise_l_2015 .. autofunction:: control_valve_noise_g_2011 """ from __future__ import division from math import sqrt, log10, exp, pi, log from fluids.constants import R, psi, gallon, minute, ln_10, ln_10_inv from fluids.numerics import interp, implementation_optimize_tck, splev from fluids.fittings import Cv_to_Kv, Kv_to_Cv __all__ = ['size_control_valve_l', 'size_control_valve_g', 'cavitation_index', 'FF_critical_pressure_ratio_l', 'is_choked_turbulent_l', 'is_choked_turbulent_g', 'Reynolds_valve', 'loss_coefficient_piping', 'Reynolds_factor', 'Cv_char_quick_opening', 'Cv_char_linear', 'Cv_char_equal_percentage', 'convert_flow_coefficient', 'control_valve_choke_P_l', 'control_valve_choke_P_g', 'control_valve_noise_l_2015', 'control_valve_noise_g_2011'] N1 = 0.1 # m^3/hr, kPa N2 = 1.6E-3 # mm N4 = 7.07E-2 # m^3/hr, m^2/s N5 = 1.8E-3 # mm N6 = 3.16 # kg/hr, kPa, kg/m^3 N7 = 4.82 # m^3/hr kPa K N8 = 1.10 # kPa kg/hr K #N9 = 2.60E1 # m^3/hr kPa K at 15 deg C N9 = 2.46E1 # m^3/hr kPa K at 0 deg C N18 = 8.65E-1 # mm N19 = 2.5 # mm #N22 = 1.84E1 # m^3/hr kPa K at 15 deg C N27 = 7.75E-1 # kg/hr kPa K at 0 deg C N32 = 1.4E2 # mm rho0 = 999.10329075702327 # Water at 288.15 K def cavitation_index(P1, P2, Psat): r'''Calculates the cavitation index of a valve with upstream and downstream absolute pressures `P1` and `P2` for a fluid with a vapor pressure `Psat`. .. math:: \sigma = \frac{P_1 - P_{sat}}{P_1 - P_2} Parameters ---------- P1 : float Absolute pressure upstream of the valve [Pa] P2 : float Absolute pressure downstream of the valve [Pa] Psat : float Saturation pressure of the liquid at inlet temperature [Pa] Returns ------- sigma : float Cavitation index of the valve [-] Notes ----- Larger values are safer. Models for adjusting cavitation indexes provided by the manufacturer to the user's conditions are available, making use of scaling the pressure differences and size differences. Values can be calculated for incipient cavitation, constant cavitation, maximum vibration cavitation, incipient damage, and choking cavitation. Has also been defined as: .. math:: \sigma = \frac{P_2 - P_{sat}}{P_1 - P_2} Another definition and notation series is: .. math:: K = xF = \frac{1}{\sigma} = \frac{P_1 - P_2}{P_1 - P_{sat}} Examples -------- >>> cavitation_index(1E6, 8E5, 2E5) 4.0 References ---------- .. [1] ISA. "RP75.23 Considerations for Evaluating Control Valve Cavitation." 1995. ''' return (P1 - Psat)/(P1 - P2) def FF_critical_pressure_ratio_l(Psat, Pc): r'''Calculates FF, the liquid critical pressure ratio factor, for use in IEC 60534 liquid valve sizing calculations. .. math:: F_F = 0.96 - 0.28\sqrt{\frac{P_{sat}}{P_c}} Parameters ---------- Psat : float Saturation pressure of the liquid at inlet temperature [Pa] Pc : float Critical pressure of the liquid [Pa] Returns ------- FF : float Liquid critical pressure ratio factor [-] Examples -------- From [1]_, matching example. >>> FF_critical_pressure_ratio_l(70100.0, 22120000.0) 0.9442375225233299 References ---------- .. [1] IEC 60534-2-1 / ISA-75.01.01-2007 ''' return 0.96 - 0.28*sqrt(Psat/Pc) def control_valve_choke_P_l(Psat, Pc, FL, P1=None, P2=None, disp=True): r'''Calculates either the upstream or downstream pressure at which choked flow though a liquid control valve occurs, given either a set upstream or downstream pressure. Implements an analytical solution of the needed equations from the full function :py:func:`~.size_control_valve_l`. For some pressures, no choked flow is possible; for choked flow to occur the direction if flow must be reversed. If `disp` is True, an exception will be raised for these conditions. .. math:: P_1 = \frac{F_{F} F_{L}^{2} P_{sat} - P_{2}}{F_{L}^{2} - 1} .. math:: P_2 = F_{F} F_{L}^{2} P_{sat} - F_{L}^{2} P_{1} + P_{1} Parameters ---------- Psat : float Saturation pressure of the liquid at inlet temperature [Pa] Pc : float Critical pressure of the liquid [Pa] FL : float, optional Liquid pressure recovery factor of a control valve without attached fittings [-] P1 : float, optional Absolute pressure upstream of the valve [Pa] P2 : float, optional Absolute pressure downstream of the valve [Pa] disp : bool, optional Whether or not to raise an exception on flow reversal, [-] Returns ------- P_choke : float Pressure at which a choke occurs in the liquid valve [Pa] Notes ----- Extremely cheap to compute. Examples -------- >>> control_valve_choke_P_l(69682.89291024722, 22048320.0, 0.6, 680000.0) 458887.5306077305 >>> control_valve_choke_P_l(69682.89291024722, 22048320.0, 0.6, P2=458887.5306077305) 680000.0 ''' FF = 0.96 - 0.28*sqrt(Psat/Pc) #FF_critical_pressure_ratio_l(Psat=Psat, Pc=Pc) Pmin_absolute = FF*Psat if P2 is None: ans = P2 = FF*FL*FL*Psat - FL*FL*P1 + P1 elif P1 is None: ans = P1 = (FF*FL*FL*Psat - P2)/(FL*FL - 1.0) else: raise ValueError('Either P1 or P2 needs to be specified') if P2 > P1 and disp: raise ValueError('Specified P1 is too low for choking to occur ' 'at any downstream pressure; minimum ' 'upstream pressure for choking to be possible ' 'is %g Pa.' %Pmin_absolute) return ans def control_valve_choke_P_g(xT, gamma, P1=None, P2=None): r'''Calculates either the upstream or downstream pressure at which choked flow though a gas control valve occurs, given either a set upstream or downstream pressure. Implements an analytical solution of the needed equations from the full function :py:func:`~.size_control_valve_g`. A singularity arises as `xT` goes to 1 and `gamma` goes to 1.4. .. math:: P_1 = - \frac{7 P_{2}}{5 \gamma x_T - 7} .. math:: P_2 = \frac{P_{1}}{7} \left(- 5 \gamma x_T + 7\right) Parameters ---------- xT : float, optional Pressure difference ratio factor of a valve without fittings at choked flow [-] gamma : float Specific heat capacity ratio [-] P1 : float, optional Absolute pressure upstream of the valve [Pa] P2 : float, optional Absolute pressure downstream of the valve [Pa] Returns ------- P_choke : float Pressure at which a choke occurs in the gas valve [Pa] Notes ----- Extremely cheap to compute. Examples -------- >>> control_valve_choke_P_g(1.0, 1.3, 1E5) 7142.857142857143 >>> control_valve_choke_P_g(1.0, 1.3, P2=7142.857142857143) 100000.0 ''' if P2 is None: ans = P2 = P1*(-5.0*gamma*xT + 7.0)/7.0 elif P1 is None: ans = P1 = -7.0*P2/(5.0*gamma*xT - 7.0) else: raise ValueError('Either P1 or P2 needs to be specified') return ans def is_choked_turbulent_l(dP, P1, Psat, FF, FL=None, FLP=None, FP=None): r'''Calculates if a liquid flow in IEC 60534 calculations is critical or not, for use in IEC 60534 liquid valve sizing calculations. Either FL may be provided or FLP and FP, depending on the calculation process. .. math:: \Delta P > F_L^2(P_1 - F_F P_{sat}) .. math:: \Delta P >= \left(\frac{F_{LP}}{F_P}\right)^2(P_1 - F_F P_{sat}) Parameters ---------- dP : float Differential pressure across the valve, with reducer/expanders [Pa] P1 : float Pressure of the fluid before the valve and reducers/expanders [Pa] Psat : float Saturation pressure of the fluid at inlet temperature [Pa] FF : float Liquid critical pressure ratio factor [-] FL : float, optional Liquid pressure recovery factor of a control valve without attached fittings [-] FLP : float, optional Combined liquid pressure recovery factor with piping geometry factor, for a control valve with attached fittings [-] FP : float, optional Piping geometry factor [-] Returns ------- choked : bool Whether or not the flow is choked [-] Examples -------- >>> is_choked_turbulent_l(460.0, 680.0, 70.1, 0.94, 0.9) False >>> is_choked_turbulent_l(460.0, 680.0, 70.1, 0.94, 0.6) True References ---------- .. [1] IEC 60534-2-1 / ISA-75.01.01-2007 ''' if FLP and FP: return dP >= FLP*FLP/(FP*FP)*(P1-FF*Psat) elif FL: return dP >= FL*FL*(P1-FF*Psat) else: raise ValueError('Either (FLP and FP) or FL is needed') def is_choked_turbulent_g(x, Fgamma, xT=None, xTP=None): r'''Calculates if a gas flow in IEC 60534 calculations is critical or not, for use in IEC 60534 gas valve sizing calculations. Either xT or xTP must be provided, depending on the calculation process. .. math:: x \ge F_\gamma x_T .. math:: x \ge F_\gamma x_{TP} Parameters ---------- x : float Differential pressure over inlet pressure, [-] Fgamma : float Specific heat ratio factor [-] xT : float, optional Pressure difference ratio factor of a valve without fittings at choked flow [-] xTP : float Pressure difference ratio factor of a valve with fittings at choked flow [-] Returns ------- choked : bool Whether or not the flow is choked [-] Examples -------- Example 3, compressible flow, non-choked with attached fittings: >>> is_choked_turbulent_g(0.544, 0.929, 0.6) False >>> is_choked_turbulent_g(0.544, 0.929, xTP=0.625) False References ---------- .. [1] IEC 60534-2-1 / ISA-75.01.01-2007 ''' if xT: return x >= Fgamma*xT elif xTP: return x >= Fgamma*xTP else: raise ValueError('Either xT or xTP is needed') def Reynolds_valve(nu, Q, D1, FL, Fd, C): r'''Calculates Reynolds number of a control valve for a liquid or gas flowing through it at a specified Q, for a specified D1, FL, Fd, C, and with kinematic viscosity `nu` according to IEC 60534 calculations. .. math:: Re_v = \frac{N_4 F_d Q}{\nu \sqrt{C F_L}}\left(\frac{F_L^2 C^2} {N_2D^4} +1\right)^{1/4} Parameters ---------- nu : float Kinematic viscosity, [m^2/s] Q : float Volumetric flow rate of the fluid [m^3/s] D1 : float Diameter of the pipe before the valve [m] FL : float, optional Liquid pressure recovery factor of a control valve without attached fittings [] Fd : float Valve style modifier [-] C : float Metric Kv valve flow coefficient (flow rate of water at a pressure drop of 1 bar) [m^3/hr] Returns ------- Rev : float Valve reynolds number [-] Examples -------- >>> Reynolds_valve(3.26e-07, 360, 150.0, 0.9, 0.46, 165) 2966984.7525455453 References ---------- .. [1] IEC 60534-2-1 / ISA-75.01.01-2007 ''' return N4*Fd*Q/nu*1.0/sqrt(C*FL)*sqrt(sqrt(FL*FL*C*C/N2*D1**-4.0 + 1.0)) def loss_coefficient_piping(d, D1=None, D2=None): r'''Calculates the sum of loss coefficients from possible inlet/outlet reducers/expanders around a control valve according to IEC 60534 calculations. .. math:: \Sigma \xi = \xi_1 + \xi_2 + \xi_{B1} - \xi_{B2} .. math:: \xi_1 = 0.5\left[1 -\left(\frac{d}{D_1}\right)^2\right]^2 .. math:: \xi_2 = 1.0\left[1 -\left(\frac{d}{D_2}\right)^2\right]^2 .. math:: \xi_{B1} = 1 - \left(\frac{d}{D_1}\right)^4 .. math:: \xi_{B2} = 1 - \left(\frac{d}{D_2}\right)^4 Parameters ---------- d : float Diameter of the valve [m] D1 : float Diameter of the pipe before the valve [m] D2 : float Diameter of the pipe after the valve [m] Returns ------- loss : float Sum of the four loss coefficients [-] Examples -------- In example 3, non-choked compressible flow with fittings: >>> loss_coefficient_piping(0.05, 0.08, 0.1) 0.6580810546875 References ---------- .. [1] IEC 60534-2-1 / ISA-75.01.01-2007 ''' loss = 0. if D1: dr = d/D1 dr2 = dr*dr loss += 1. - dr2*dr2 # Inlet flow energy loss += 0.5*(1. - dr2)*(1.0 - dr2) # Inlet reducer if D2: dr = d/D2 dr2 = dr*dr loss += 1.0*(1. - dr2)*(1.0 - dr2) # Outlet reducer (expander) loss -= 1. - dr2*dr2 # Outlet flow energy return loss def Reynolds_factor(FL, C, d, Rev, full_trim=True): r'''Calculates the Reynolds number factor `FR` for a valve with a Reynolds number `Rev`, diameter `d`, flow coefficient `C`, liquid pressure recovery factor `FL`, and with either full or reduced trim, all according to IEC 60534 calculations. If full trim: .. math:: F_{R,1a} = 1 + \left(\frac{0.33F_L^{0.5}}{n_1^{0.25}}\right)\log_{10} \left(\frac{Re_v}{10000}\right) .. math:: F_{R,2} = \min(\frac{0.026}{F_L}\sqrt{n_1 Re_v},\; 1) .. math:: n_1 = \frac{N_2}{\left(\frac{C}{d^2}\right)^2} .. math:: F_R = F_{R,2} \text{ if Rev < 10 else } \min(F_{R,1a}, F_{R,2}) Otherwise : .. math:: F_{R,3a} = 1 + \left(\frac{0.33F_L^{0.5}}{n_2^{0.25}}\right)\log_{10} \left(\frac{Re_v}{10000}\right) .. math:: F_{R,4} = \frac{0.026}{F_L}\sqrt{n_2 Re_v} .. math:: n_2 = 1 + N_{32}\left(\frac{C}{d}\right)^{2/3} .. math:: F_R = F_{R,4} \text{ if Rev < 10 else } \min(F_{R,3a}, F_{R,4}) Parameters ---------- FL : float Liquid pressure recovery factor of a control valve without attached fittings [] C : float Metric Kv valve flow coefficient (flow rate of water at a pressure drop of 1 bar) [m^3/hr] d : float Diameter of the valve [m] Rev : float Valve reynolds number [-] full_trim : bool Whether or not the valve has full trim Returns ------- FR : float Reynolds number factor for laminar or transitional flow [] Examples -------- In Example 4, compressible flow with small flow trim sized for gas flow (Cv in the problem was converted to Kv here to make FR match with N32, N2): >>> Reynolds_factor(FL=0.98, C=0.015483, d=15., Rev=1202., full_trim=False) 0.7148753122302025 References ---------- .. [1] IEC 60534-2-1 / ISA-75.01.01-2007 ''' if full_trim: n1 = N2/(min(C/(d*d), 0.04))**2 # C/d**2 must not exceed 0.04 FR_1a = 1.0 + (0.33*sqrt(FL))/sqrt(sqrt(n1))*log10(Rev/10000.) FR_2 = 0.026/FL*sqrt(n1*Rev) if Rev < 10.0: FR = FR_2 else: FR = min(FR_2, FR_1a) else: n2 = 1 + N32*(C/d**2)**(2/3.) FR_3a = 1 + (0.33*sqrt(FL))/sqrt(sqrt(n2))*log10(Rev/10000.) FR_4 = min(0.026/FL*sqrt(n2*Rev), 1) if Rev < 10: FR = FR_4 else: FR = min(FR_3a, FR_4) return FR def size_control_valve_l(rho, Psat, Pc, mu, P1, P2, Q, D1=None, D2=None, d=None, FL=0.9, Fd=1, allow_choked=True, allow_laminar=True, full_output=False): r'''Calculates flow coefficient of a control valve passing a liquid according to IEC 60534. Uses a large number of inputs in SI units. Note the return value is not standard SI. All parameters are required. This sizing model does not officially apply to liquid mixtures, slurries, non-Newtonian fluids, or liquid-solid conveyance systems. For details of the calculations, consult [1]_. Parameters ---------- rho : float Density of the liquid at the inlet [kg/m^3] Psat : float Saturation pressure of the fluid at inlet temperature [Pa] Pc : float Critical pressure of the fluid [Pa] mu : float Viscosity of the fluid [Pa*s] P1 : float Inlet pressure of the fluid before valves and reducers [Pa] P2 : float Outlet pressure of the fluid after valves and reducers [Pa] Q : float Volumetric flow rate of the fluid [m^3/s] D1 : float, optional Diameter of the pipe before the valve [m] D2 : float, optional Diameter of the pipe after the valve [m] d : float, optional Diameter of the valve [m] FL : float, optional Liquid pressure recovery factor of a control valve without attached fittings (normally 0.8-0.9 at full open and decreasing as opened further to below 0.5; use default very cautiously!) [] Fd : float, optional Valve style modifier (0.1 to 1; varies tremendously depending on the type of valve and position; do not use the default at all!) [] allow_choked : bool, optional Overrides the automatic transition into the choked regime if this is False and returns as if choked flow does not exist allow_laminar : bool, optional Overrides the automatic transition into the laminar regime if this is False and returns as if laminar flow does not exist full_output : bool, optional If True, returns intermediate calculation values as well as Kv in the form of a dictionary containing 'Kv', 'Rev', 'choked', 'FL', 'FLP', 'FR', 'FP', and 'laminar'. Some may be None if they are not used in the calculation. Returns ------- Kv : float Metric Kv valve flow coefficient (flow rate of water at a pressure drop of 1 bar) [m^3/hr] Notes ----- It is possible to use this model without any diameters specified; in that case, turbulent flow is assumed. Choked flow can still be modeled. This is not recommended. All three diameters need to be None for this to work. `FL` and `Fd` are not used by the models when the diameters are not specified. Examples -------- From [1]_, matching example 1 for a globe, parabolic plug, flow-to-open valve. >>> size_control_valve_l(rho=965.4, Psat=70.1E3, Pc=22120E3, mu=3.1472E-4, ... P1=680E3, P2=220E3, Q=0.1, D1=0.15, D2=0.15, d=0.15, ... FL=0.9, Fd=0.46) 164.9954763704956 From [1]_, matching example 2 for a ball, segmented ball, flow-to-open valve. >>> size_control_valve_l(rho=965.4, Psat=70.1E3, Pc=22120E3, mu=3.1472E-4, ... P1=680E3, P2=220E3, Q=0.1, D1=0.1, D2=0.1, d=0.1, ... FL=0.6, Fd=0.98) 238.05817216710483 References ---------- .. [1] IEC 60534-2-1 / ISA-75.01.01-2007 ''' if full_output: ans = {'FLP': None, 'FP': None, 'FR': None} # Pa to kPa, according to constants in standard P1, P2, Psat, Pc = P1/1000., P2/1000., Psat/1000., Pc/1000. Q = Q*3600. # m^3/s to m^3/hr, according to constants in standard nu = mu/rho # kinematic viscosity used in standard MAX_C_POSSIBLE = 1E40 # Quit iterations if C reaches this high dP = P1 - P2 FF = FF_critical_pressure_ratio_l(Psat=Psat, Pc=Pc) choked = is_choked_turbulent_l(dP=dP, P1=P1, Psat=Psat, FF=FF, FL=FL) if choked and allow_choked: # Choked flow, equation 3 C = Q/N1/FL*sqrt(rho/rho0/(P1 - FF*Psat)) else: # non-choked flow, eq 1 C = Q/N1*sqrt(rho/rho0/dP) if D1 is None and D2 is None and d is None: # Assume turbulent if no diameters are provided, no other calculations Rev = 1e5 else: # m to mm, according to constants in standard D1, D2, d = D1*1000., D2*1000., d*1000. Rev = Reynolds_valve(nu=nu, Q=Q, D1=D1, FL=FL, Fd=Fd, C=C) # normal calculation path if (Rev > 10000 or not allow_laminar) and (D1 != d or D2 != d): # liquid, using Fp and FLP FP = 1.0 Ci = C MAX_ITER = 20 def iterate_piping_turbulent_l(Ci, iterations): loss = loss_coefficient_piping(d, D1, D2) FP = 1.0/sqrt(1 + loss/N2*(Ci/d**2)**2) if d > D1: loss_upstream = 0.0 else: loss_upstream = loss_coefficient_piping(d, D1) FLP = FL*1.0/sqrt(1 + FL**2/N2*loss_upstream*(Ci/d**2)**2) choked = is_choked_turbulent_l(dP, P1, Psat, FF, FLP=FLP, FP=FP) if choked: # Choked flow with piping, equation 4 C = Q/N1/FLP*sqrt(rho/rho0/(P1-FF*Psat)) else: # Non-Choked flow with piping, equation 5 C = Q/N1/FP*sqrt(rho/rho0/dP) if Ci/C < 0.99 and iterations < MAX_ITER and Ci < MAX_C_POSSIBLE: C = iterate_piping_turbulent_l(C, iterations+1) if MAX_ITER == iterations or Ci >= MAX_C_POSSIBLE: ans['warning'] = 'Not converged in inner loop' if full_output: ans['FLP'] = FLP ans['FP'] = FP return C C = iterate_piping_turbulent_l(Ci, 0) elif Rev <= 10000 and allow_laminar: # Laminar def iterate_piping_laminar_l(C): Ci = 1.3*C Rev = Reynolds_valve(nu=nu, Q=Q, D1=D1, FL=FL, Fd=Fd, C=Ci) if Ci/d**2 > 0.016*N18: FR = Reynolds_factor(FL=FL, C=Ci, d=d, Rev=Rev, full_trim=False) else: FR = Reynolds_factor(FL=FL, C=Ci, d=d, Rev=Rev, full_trim=True) if C/FR >= Ci: Ci = iterate_piping_laminar_l(Ci) # pragma: no cover if full_output: ans['Rev'] = Rev ans['FR'] = FR return Ci C = iterate_piping_laminar_l(C) if full_output: ans['FF'] = FF ans['choked'] = choked ans['Kv'] = C ans['laminar'] = Rev <= 10000 # For the laminar case this is already set and needs to not be overwritten if 'Rev' not in ans: ans['Rev'] = Rev return ans else: # return C, choked, laminar, FF, FR, Rev, FP, FLP, warning return C def size_control_valve_g(T, MW, mu, gamma, Z, P1, P2, Q, D1=None, D2=None, d=None, FL=0.9, Fd=1, xT=0.7, allow_choked=True, allow_laminar=True, full_output=False): r'''Calculates flow coefficient of a control valve passing a gas according to IEC 60534. Uses a large number of inputs in SI units. Note the return value is not standard SI. All parameters are required. For details of the calculations, consult [1]_. Note the inlet gas flow conditions. Parameters ---------- T : float Temperature of the gas at the inlet [K] MW : float Molecular weight of the gas [g/mol] mu : float Viscosity of the fluid at inlet conditions [Pa*s] gamma : float Specific heat capacity ratio [-] Z : float Compressibility factor at inlet conditions, [-] P1 : float Inlet pressure of the gas before valves and reducers [Pa] P2 : float Outlet pressure of the gas after valves and reducers [Pa] Q : float Volumetric flow rate of the gas at *273.15 K* and 1 atm specifically [m^3/s] D1 : float, optional Diameter of the pipe before the valve [m] D2 : float, optional Diameter of the pipe after the valve [m] d : float, optional Diameter of the valve [m] FL : float, optional Liquid pressure recovery factor of a control valve without attached fittings (normally 0.8-0.9 at full open and decreasing as opened further to below 0.5; use default very cautiously!) [] Fd : float, optional Valve style modifier (0.1 to 1; varies tremendously depending on the type of valve and position; do not use the default at all!) [] xT : float, optional Pressure difference ratio factor of a valve without fittings at choked flow (increasing to 0.9 or higher as the valve is closed further and decreasing to 0.1 or lower as the valve is opened further; use default very cautiously!) [-] allow_choked : bool, optional Overrides the automatic transition into the choked regime if this is False and returns as if choked flow does not exist allow_laminar : bool, optional Overrides the automatic transition into the laminar regime if this is False and returns as if laminar flow does not exist full_output : bool, optional If True, returns intermediate calculation values as well as Kv in the form of a dictionary containing 'Kv', 'Rev', 'choked', 'Y', 'FR', 'FP', 'xTP', and 'laminar'. Some may be None if they are not used in the calculation. Returns ------- Kv : float Metric Kv valve flow coefficient (flow rate of water at a pressure drop of 1 bar) [m^3/hr] Notes ----- It is possible to use this model without any diameters specified; in that case, turbulent flow is assumed. Choked flow can still be modeled. This is not recommended. All three diameters need to be None for this to work. `FL` and `Fd` are not used by the models when the diameters are not specified, but `xT` definitely is used by the model. When this model does not converge, the result is normally because of the specified delta P being less than that caused by the piping diameter changes. Examples -------- From [1]_, matching example 3 for non-choked gas flow with attached fittings and a rotary, eccentric plug, flow-to-open control valve: >>> size_control_valve_g(T=433., MW=44.01, mu=1.4665E-4, gamma=1.30, ... Z=0.988, P1=680E3, P2=310E3, Q=38/36., D1=0.08, D2=0.1, d=0.05, ... FL=0.85, Fd=0.42, xT=0.60) 72.5866454539105 From [1]_, roughly matching example 4 for a small flow trim sized tapered needle plug valve. Difference is 3% and explained by the difference in algorithms used. >>> size_control_valve_g(T=320., MW=39.95, mu=5.625E-5, gamma=1.67, Z=1.0, ... P1=2.8E5, P2=1.3E5, Q=0.46/3600., D1=0.015, D2=0.015, d=0.015, FL=0.98, ... Fd=0.07, xT=0.8) 0.016498765335995726 References ---------- .. [1] IEC 60534-2-1 / ISA-75.01.01-2007 ''' MAX_C_POSSIBLE = 1E40 # Quit iterations if C reaches this high # Pa to kPa, according to constants in standard P1, P2 = P1*1e-3, P2*1e-3 Q = Q*3600. # m^3/s to m^3/hr, according to constants in standard # Convert dynamic viscosity to kinematic viscosity Vm = Z*R*T/(P1*1000) rho = MW*1e-3/Vm nu = mu/rho # kinematic viscosity used in standard dP = P1 - P2 Fgamma = gamma/1.40 x = dP/P1 Y = max(1 - x/(3*Fgamma*xT), 2/3.) choked = is_choked_turbulent_g(x, Fgamma, xT) if choked and allow_choked: # Choked, and flow coefficient from eq 14a C = Q/(N9*P1*Y)*sqrt(MW*T*Z/xT/Fgamma) else: # Non-choked, and flow coefficient from eq 8a C = Q/(N9*P1*Y)*sqrt(MW*T*Z/x) if full_output: # numba: delete ans = {'FP': None, 'xTP': None, 'FR': None, 'choked': choked, 'Y': Y} # numba: delete if D1 is None and D2 is None and d is None: # Assume turbulent if no diameters are provided, no other calculations Rev = 1e5 if full_output: ans['Rev'] = None # numba: delete else: # m to mm, according to constants in standard D1, D2, d = D1*1000., D2*1000., d*1000. # Convert diameters to mm which is used in the standard Rev = Reynolds_valve(nu=nu, Q=Q, D1=D1, FL=FL, Fd=Fd, C=C) if full_output: ans['Rev'] = Rev # numba: delete if (Rev > 10000 or not allow_laminar) and (D1 != d or D2 != d): # gas, using xTP and FLP FP = 1. MAX_ITER = 20 def iterate_piping_coef_g(Ci, iterations): loss = loss_coefficient_piping(d, D1, D2) FP = 1.0/sqrt(1. + loss/N2*(Ci/d**2)**2) loss_upstream = loss_coefficient_piping(d, D1) xTP = xT/FP**2/(1 + xT*loss_upstream/N5*(Ci/d**2)**2) choked = is_choked_turbulent_g(x, Fgamma, xTP=xTP) if choked: # Choked flow with piping, equation 17a C = Q/(N9*FP*P1*Y)*sqrt(MW*T*Z/xTP/Fgamma) else: # Non-choked flow with piping, equation 11a C = Q/(N9*FP*P1*Y)*sqrt(MW*T*Z/x) if Ci/C < 0.99 and iterations < MAX_ITER and Ci < MAX_C_POSSIBLE: C = iterate_piping_coef_g(C, iterations+1) if full_output: # numba: delete ans['xTP'] = xTP # numba: delete ans['FP'] = FP # numba: delete ans['choked'] = choked # numba: delete if MAX_ITER == iterations or Ci >= MAX_C_POSSIBLE: # numba: delete ans['warning'] = 'Not converged in inner loop' # numba: delete return C # def err_piping_coeff(Ci): # loss = loss_coefficient_piping(d, D1, D2) # FP = (1. + loss/N2*(Ci/d**2)**2)**-0.5 # loss_upstream = loss_coefficient_piping(d, D1) # xTP = xT/FP**2/(1 + xT*loss_upstream/N5*(Ci/d**2)**2) # choked = is_choked_turbulent_g(x, Fgamma, xTP=xTP) # if choked: # # Choked flow with piping, equation 17a # C = Q/(N9*FP*P1*Y)*(MW*T*Z/xTP/Fgamma)**0.5 # else: # # Non-choked flow with piping, equation 11a # C = Q/(N9*FP*P1*Y)*(MW*T*Z/x)**0.5 # return C - Ci # import matplotlib.pyplot as plt # from fluids.numerics import linspace # Cs = linspace(C/50, C*50, 5000) # errs = [err_piping_coeff(C_test) for C_test in Cs] # plt.plot(Cs, errs) # plt.show() C = iterate_piping_coef_g(C, 0) elif Rev <= 10000 and allow_laminar: # Laminar; def iterate_piping_laminar_g(C): Ci = 1.3*C Rev = Reynolds_valve(nu=nu, Q=Q, D1=D1, FL=FL, Fd=Fd, C=Ci) if Ci/d**2 > 0.016*N18: FR = Reynolds_factor(FL=FL, C=Ci, d=d, Rev=Rev, full_trim=False) else: FR = Reynolds_factor(FL=FL, C=Ci, d=d, Rev=Rev, full_trim=True) if C/FR >= Ci: Ci = iterate_piping_laminar_g(Ci) if full_output: # numba: delete ans['FR'] = FR # numba: delete ans['Rev'] = Rev # numba: delete return Ci C = iterate_piping_laminar_g(C) if full_output: # numba: delete ans['Kv'] = C # numba: delete ans['laminar'] = Rev <= 10000 # numba: delete ans['choked'] = choked # numba: delete return ans # numba: delete return C # Valve data from Emerson Valve Handbook 5E # Quick opening valve data, spline fit, and interpolating function opening_quick = [0.0, 0.0136, 0.02184, 0.03256, 0.04575, 0.06221, 0.07459, 0.0878, 0.10757, 0.12654, 0.14301, 0.16032, 0.18009, 0.18999, 0.20233, 0.23105, 0.25483, 0.28925, 0.32365, 0.36541, 0.42188, 0.46608, 0.53319, 0.61501, 0.7034, 0.78033, 0.84415, 0.91944, 1.000] frac_CV_quick = [0.0, 0.04984, 0.07582, 0.12044, 0.16614, 0.21707, 0.26998, 0.32808, 0.39353, 0.46516, 0.52125, 0.58356, 0.64798, 0.68845, 0.72277, 0.76565, 0.79399, 0.82459, 0.84589, 0.86732, 0.88078, 0.89399, 0.90867, 0.92053, 0.93973, 0.95872, 0.96817, 0.98611, 1.0] opening_quick_tck = implementation_optimize_tck([[0.0, 0.0, 0.0, 0.0, 0.02184, 0.03256, 0.04575, 0.06221, 0.07459, 0.0878, 0.10757, 0.12654, 0.14301, 0.16032, 0.18009, 0.18999, 0.20233, 0.23105, 0.25483, 0.28925, 0.32365, 0.36541, 0.42188, 0.46608, 0.53319, 0.61501, 0.7034, 0.78033, 0.84415, 1.0, 1.0, 1.0, 1.0], [-3.2479258181113327e-19, 0.037650956835178835, 0.054616164261637117, 0.12657862552611354, 0.17115105822542115, 0.2075233903194021, 0.27084055195333684, 0.34208963001568016, 0.38730839943796663, 0.4656002247400036, 0.5196995880922897, 0.5907033063634928, 0.6304293931726886, 0.6953064258075168, 0.7382935002453699, 0.7631579537132379, 0.7997961180795559, 0.8262370617883222, 0.8471954722933543, 0.873096858463145, 0.8776128736976467, 0.897647305294458, 0.9105672165523071, 0.9192771703370824, 0.9377349743236904, 0.9603716623033031, 0.9688863605959851, 0.9980062718267431, 1.0, 0.0, 0.0, 0.0, 0.0], 3]) Cv_char_quick_opening = lambda opening: float(splev(opening, opening_quick_tck)) opening_linear = [0., 1.0] frac_CV_linear = [0, 1] Cv_char_linear = lambda opening: interp(opening, opening_linear, frac_CV_linear) # Equal opening valve data, spline fit, and interpolating function opening_equal = [0.0, 0.05523, 0.09287, 0.15341, 0.18942, 0.22379, 0.25816, 0.29582, 0.33348, 0.34985, 0.3826, 0.45794, 0.49235, 0.51365, 0.54479, 0.57594, 0.60218, 0.62843, 0.77628, 0.796, 0.83298, 0.86995, 0.90936, 0.95368, 1.00] frac_CV_equal = [0.0, 0.00845, 0.01339, 0.01877, 0.02579, 0.0349, 0.04189, 0.05528, 0.07079, 0.07533, 0.09074, 0.13444, 0.15833, 0.17353, 0.20159, 0.23388, 0.26819, 0.30461, 0.60113, 0.64588, 0.72583, 0.80788, 0.87519, 0.94999, 1.] opening_equal_tck = implementation_optimize_tck([[0.0, 0.0, 0.0, 0.0, 0.09287, 0.15341, 0.18942, 0.22379, 0.25816, 0.29582, 0.33348, 0.34985, 0.3826, 0.45794, 0.49235, 0.51365, 0.54479, 0.57594, 0.60218, 0.62843, 0.77628, 0.796, 0.83298, 0.86995, 0.90936, 1.0, 1.0, 1.0, 1.0], [1.3522591106779132e-19, 0.004087873896711868, 0.014374150571122216, 0.016455484312674015, 0.024946845435605228, 0.03592972456181881, 0.040710119644626126, 0.054518468768197687, 0.06976905178508139, 0.07587146190282387, 0.0985485829020452, 0.1238160142641967, 0.15558350087382017, 0.17487348629353283, 0.20157507610951217, 0.22995771158118564, 0.2683886931491415, 0.3574766835730407, 0.5027678906008036, 0.659729970241158, 0.7233389559355903, 0.8155475382785987, 0.8983628328699896, 0.9871204658597236, 1.0, 0.0, 0.0, 0.0, 0.0], 3]) Cv_char_equal_percentage = lambda opening: float(splev(opening, opening_equal_tck)) def convert_flow_coefficient(flow_coefficient, old_scale, new_scale): """Convert from one flow coefficient scale to another; supports the `Kv` `Cv`, and `Av` scales. Other scales are `Qn` and `Cg`, but clear definitions have yet to be found. Parameters ---------- flow_coefficient : float Value of the flow coefficient to be converted, expressed in the original scale. old_scale : str String specifying the original scale; one of 'Av', 'Cv', or 'Kv', [-] new_scale : str String specifying the new scale; one of 'Av', 'Cv', or 'Kv', [-] Returns ------- converted_flow_coefficient : float Flow coefficient converted to the specified scale. Notes ----- `Qn` is a scale based on a flow of air in units of L/minute as air travels through a valve and loses one bar of pressure (initially 7 bar absolute, to 6 bar absolute). No consistent conversion factors have been found and those from theory do not match what have been found. Some uses of `Qn` use its flow rate as in normal (STP reference conditions) flow rate of air; others use something like the 7 bar absolute condition. Examples -------- >>> convert_flow_coefficient(10, 'Kv', 'Av') 0.0002776532068951358 """ # Convert from `old_scale` to Kv if old_scale == 'Cv': Kv = Cv_to_Kv(flow_coefficient) elif old_scale == 'Kv': Kv = flow_coefficient elif old_scale == 'Av': Cv = flow_coefficient/(sqrt(rho0/psi)*gallon/minute) Kv = Cv_to_Kv(Cv) else: raise NotImplementedError("Supported scales are 'Cv', 'Kv', and 'Av'") if new_scale == 'Cv': ans = Kv_to_Cv(Kv) elif new_scale == 'Kv': ans = Kv elif new_scale == 'Av': Cv = Kv_to_Cv(Kv) ans = Cv*(sqrt(rho0/psi)*gallon/minute) else: raise NotImplementedError("Supported scales are 'Cv', 'Kv', and 'Av'") return ans # Third octave center frequency fi Hz fis_l_2015 = [12.5, 16.0, 20.0, 25.0, 31.5, 40.0, 50.0, 63.0, 80.0, 100.0, 125.0, 160.0, 200.0, 250.0, 315.0, 400.0, 500.0, 630.0, 800.0, 1000.0, 1250.0, 1600.0, 2000.0, 2500.0, 3150.0, 4000.0, 5000.0, 6300.0, 8000.0, 10000.0, 12500.0, 16000.0, 20000.0] #fis_l_2015_inv = [1.0/fi for fi in fis_l_2015] #fis_l_2015_1_5 = [fi**1.5 for fi in fis_l_2015] #fis_l_2015_n1_5 = [fi**-1.5 for fi in fis_l_2015] fis_l_2015_inv = [0.08, 0.0625, 0.049999999999999996, 0.04000000000000001, 0.031746031746031744, 0.025, 0.02, 0.01587301587301587, 0.012499999999999999, 0.010000000000000002, 0.008, 0.00625, 0.005, 0.003999999999999999, 0.003174603174603174, 0.0025000000000000005, 0.002, 0.0015873015873015873, 0.00125, 0.0009999999999999998, 0.0008, 0.0006250000000000001, 0.0005, 0.0004, 0.0003174603174603174, 0.00024999999999999995, 0.0002, 0.00015873015873015873, 0.000125, 0.0001, 8e-05, 6.249999999999999e-05, 5e-05] fis_l_2015_1_5 = [44.19417382415922, 64.0, 89.44271909999159, 125.0, 176.79331152506873, 252.98221281347034, 353.5533905932738, 500.04699779120756, 715.5417527999327, 1000.0, 1397.5424859373686, 2023.8577025077627, 2828.42712474619, 3952.847075210474, 5590.695395029137, 8000.0, 11180.339887498949, 15812.874501494027, 22627.41699796952, 31622.776601683792, 44194.17382415922, 64000.0, 89442.71909999159, 125000.0, 176793.3115250687, 252982.21281347034, 353553.39059327374, 500046.9977912076, 715541.7527999327, 1000000.0, 1397542.4859373686, 2023857.7025077627, 2828427.12474619] fis_l_2015_n1_5 = [0.02262741699796952, 0.015625, 0.011180339887498947, 0.008000000000000002, 0.00565632258015713, 0.003952847075210475, 0.00282842712474619, 0.001999812026503847, 0.0013975424859373684, 0.0010000000000000002, 0.0007155417527999327, 0.0004941058844013093, 0.00035355339059327376, 0.0002529822128134703, 0.00017886862533936855, 0.00012500000000000003, 8.944271909999159e-05, 6.323960895949173e-05, 4.419417382415922e-05, 3.162277660168379e-05, 2.2627416997969522e-05, 1.5625000000000004e-05, 1.1180339887498949e-05, 8.000000000000001e-06, 5.6563225801571285e-06, 3.9528470752104736e-06, 2.8284271247461903e-06, 1.9998120265038475e-06, 1.3975424859373686e-06, 1.0000000000000002e-06, 7.155417527999328e-07, 4.941058844013092e-07, 3.535533905932738e-07] fis_l_2015_3 = [1953.125, 4096.0, 8000.0, 15625.0, 31255.875, 64000.0, 125000.0, 250047.0, 512000.0, 1000000.0, 1953125.0, 4096000.0, 8000000.0, 15625000.0, 31255875.0, 64000000.0, 125000000.0, 250047000.0, 512000000.0, 1000000000.0, 1953125000.0, 4096000000.0, 8000000000.0, 15625000000.0, 31255875000.0, 64000000000.0, 125000000000.0, 250047000000.0, 512000000000.0, 1000000000000.0, 1953125000000.0, 4096000000000.0, 8000000000000.0] fis_l_2015_17 = [73.2397784872531, 111.43047210190387, 162.83621261476173, 237.95674233948478, 352.4746934040807, 529.0564156396547, 773.1237367774792, 1145.1936574895758, 1718.9093656438004, 2511.88643150958, 3670.6841971500585, 5584.753005453414, 8161.143093473476, 11926.088141608398, 17665.581651081215, 26515.632138719888, 38747.97468870842, 57395.64411646984, 86149.54298230256, 125892.54117941669, 183970.00582889825, 279900.6909294791, 409026.07302542904, 597720.3123687729, 885376.3998122095, 1328929.6319483411, 1941999.0242893337, 2876596.4096988947, 4317705.1125554005, 6309573.44480193, 9220341.829177868, 14028265.297730776, 20499864.602104142] #fis_l_2015_inv, fis_l_2015_1_5, fis_l_2015_17, fis_l_2015_n1_5, fis_l_2015_3 = [], [], [], [], [] #for fi in fis_l_2015: # fi_rt_inv = 1.0/sqrt(fi) # fis_l_2015_inv.append(fi_rt_inv*fi_rt_inv) # fis_l_2015_1_5.append(fi*fi*fi_rt_inv) # fis_l_2015_n1_5.append(fi_rt_inv*fi_rt_inv*fi_rt_inv) # fis_l_2015_3.append(fi*fi*fi) # fis_l_2015_17.append(fi**1.7) fis_length = 33 # dLa(fi), dB A_weights_l_2015 = [-63.4, -56.7, -50.5, -44.7, -39.4, -34.6, -30.2, -26.2, -22.5, -19.1, -16.1, -13.4, -10.9, -8.6, -6.6, -4.8, -3.2, -1.9, -0.8, 0.0, 0.6, 1.0, 1.2, 1.3, 1.2, 1.0, 0.5, -0.1, -1.1, -2.5, -4.3, -6.6, -9.3] def control_valve_noise_l_2015(m, P1, P2, Psat, rho, c, Kv, d, Di, FL, Fd, t_pipe, rho_pipe=7800.0, c_pipe=5000.0, rho_air=1.2, c_air=343.0, xFz=None, An=-4.6): r'''Calculates the sound made by a liquid flowing through a control valve according to the standard IEC 60534-8-4 (2015) [1]_. Parameters ---------- m : float Mass flow rate of liquid through the control valve, [kg/s] P1 : float Inlet pressure of the fluid before valves and reducers [Pa] P2 : float Outlet pressure of the fluid after valves and reducers [Pa] Psat : float Saturation pressure of the fluid at inlet temperature [Pa] rho : float Density of the liquid at the inlet [kg/m^3] c : float Speed of sound of the liquid at the inlet conditions [m/s] Kv : float Metric Kv valve flow coefficient (flow rate of water at a pressure drop of 1 bar) [m^3/hr] d : float Diameter of the valve [m] Di : float Internal diameter of the pipe before and after the valve [m] FL : float, optional Liquid pressure recovery factor of a control valve without attached fittings (normally 0.8-0.9 at full open and decreasing as opened further to below 0.5) [-] Fd : float, optional Valve style modifier [-] t_pipe : float Wall thickness of the pipe after the valve, [m] rho_pipe : float, optional Density of the pipe wall material at flowing conditions, [kg/m^3] c_pipe : float, optional Speed of sound of the pipe wall material at flowing conditions, [m/s] rho_air : float, optional Density of the air surrounding the valve and pipe wall, [kg/m^3] c_air : float, optional Speed of sound of the air surrounding the valve and pipe wall, [m/s] xFz : float, optional If specified, this value `xFz` is used instead of estimated; the calculation is sensitive to this value, [-] An : float, optional Valve correction factor for acoustic efficiency Returns ------- LpAe1m : float A weighted sound pressure level 1 m from the pipe wall, 1 m distance dowstream of the valve (at reference sound pressure level 2E-5), [dB] Notes ----- For formulas see [1]_. This takes on the order of 100 us to compute. This model can also tell if noise is being produced in a valve just due to turbulent flow, or cavitation. For values of `An`, see [1]_; it is normally -4.6 for global valves, -4.3 for butterfly valves, and -4.0 for expanders. This model was checked against three examples in [1]_; they match to all given decimals. A formula is given in [1]_ for multihole trim valves to estimate `xFz` as well; this is not implemented here and `xFz` must be calculated by the user separately. The formula is .. math:: x_{Fz} = \left(4.5 + 1650\frac{N_0d_H^2}{F_L}\right)^{-1/2} Where `N0` is the number of open channels and `dH` is the multihole trim hole diameter. Examples -------- >>> control_valve_noise_l_2015(m=40, P1=1E6, P2=6.5E5, Psat=2.32E3, ... rho=997, c=1400, Kv=77.848, d=0.1, Di=0.1071, FL=0.92, Fd=0.42, ... t_pipe=0.0036, rho_pipe=7800.0, c_pipe=5000.0,rho_air=1.293, ... c_air=343.0, An=-4.6) 81.58200097996 References ---------- .. [1] IEC 60534-8-4 : Industrial-Process Control Valves - Part 8-4: Noise Considerations - Prediction of Noise Generated by Hydrodynamic Flow. (2015) ''' # Convert Kv to Cv as C N34 = 1.17 # for Cv - conversion constant but not to many decimals N14 = 0.0046 C = Kv_to_Cv(Kv) xF = (P1-P2)/(P1-Psat) dPc = min(P1-P2, FL*FL*(P1 - Psat)) if xFz is None: xFz = 0.9*1.0/sqrt(1.0 + 3.0*Fd*sqrt(C/(N34*FL))) xFzp1 = xFz*sqrt(sqrt(sqrt((6E5/P1)))) Dj = N14*Fd*sqrt(C*FL) Uvc = sqrt(2.0*dPc/rho)/FL Wm = 0.5*m*Uvc*Uvc*FL*FL cavitating = xF > xFzp1 eta_turb = 10.0**An*Uvc/c x0 = xF - xFzp1 x1 = xF/xFzp1 x2 = x1*x1 x1 = x2*x2*x1 if cavitating: eta_cav = 0.32*eta_turb*sqrt((P1 - P2)/(dPc*xFzp1))*exp(5.0*xFzp1)*sqrt((1.0 - xFzp1)/(1.0 - xF))*(x1)*x0*sqrt(x0) Wa = (eta_turb+eta_cav)*Wm else: Wa = eta_turb*Wm Lpi = 10.0*log10(3.2E9*Wa*rho*c/(Di*Di)) Stp = 0.036*FL*FL*C*Fd**0.75/(N34*xFzp1*sqrt(xFzp1)*d*d)*(1.0/(P1 - Psat))**0.57 f_p_turb = Stp*Uvc/Dj if cavitating: x3 = ((1.0 - xF)/(1.0 - xFzp1)) x4 = xFzp1/xF f_p_cav = 6.0*f_p_turb*x3*x3*x4*x4*sqrt(x4) f_p_cav_inv = 1.0/f_p_cav f_p_cav_inv_1_5 = f_p_cav_inv*sqrt(f_p_cav_inv) f_p_cav_inv_1_5_1_4 = 0.25*f_p_cav_inv_1_5 f_p_cav_1_5 = 1.0/f_p_cav_inv_1_5 eta_denom = 1.0/(eta_turb + eta_cav) t1 = eta_turb*eta_denom t2 = eta_cav*eta_denom fr = c_pipe/(pi*Di) fr_inv = 1.0/fr TL_fr = -10.0 - 10.0*log10(c_pipe*rho_pipe*t_pipe/(c_air*rho_air*Di)) t3 = - 10.0*log10((Di + 2.0*t_pipe + 2.0)/(Di + 2.0*t_pipe)) # F_cavs = [] # F_turbs = [] # LPis = [] # TL_fis = [] # L_pe1m_fis = [] LpAe1m_sum = 0.0 f_p_turb_inv = 1.0/f_p_turb f_p_turb_inv3 = f_p_turb_inv*f_p_turb_inv*f_p_turb_inv fr_inv_1_5 = fr_inv*sqrt(fr_inv) a_factor = ln_10_inv for i in range(fis_length): # for fi, fi_inv, fi_1_5, fi_1_5_inv, A in zip(fis_l_2015, fis_l_2015_inv, fis_l_2015_1_5, fis_l_2015_n1_5, A_weights_l_2015): # fi_inv = 1.0/fi # fi_turb_ratio = fis_l_2015[i]*f_p_turb_inv # fi_turb_ratio = fi*f_p_turb_inv F_turb = -.8 - log(0.25*f_p_turb_inv3*fis_l_2015_3[i] + fis_l_2015_inv[i]*f_p_turb)*a_factor # F_turbs.append(F_turb) if cavitating: # fi_cav_ratio = fi_1_5*f_p_cav_inv_1_5# (fi*f_p_cav_inv)**1.5 # F_cav = -.9 - log10(f_p_cav_inv_1_5_1_4*fis_l_2015_1_5[i] + fis_l_2015_n1_5[i]*f_p_cav_1_5) # 1.0/fi_cav_ratio, fi_1_5_inv*f_p_cav_1_5 F_cav_fact = 0.12589254117941673/(f_p_cav_inv_1_5_1_4*fis_l_2015_1_5[i] + fis_l_2015_n1_5[i]*f_p_cav_1_5) # 0.1258925411794167310 = 10**(-0.9) # 4.3429448190325175*log(x) -> 10*log10(x) LPif = (Lpi + 4.3429448190325175*log(t1*exp(ln_10*F_turb) + t2*F_cav_fact)) # Should be able to save 1 power in the above function somehow, combine the tow terms in exponent else: LPif = Lpi + F_turb*10.0 # LPis.append(LPif) # -8.685889638065035 = -20*log10(x) TL_fi = TL_fr - 8.685889638065035*log(fr*fis_l_2015_inv[i] + fis_l_2015_1_5[i]*fr_inv_1_5) # (fi*fr_inv)**1.5 # TL_fis.append(TL_fi) L_pe1m_fi = LPif + TL_fi + t3 # L_pe1m_fis.append(L_pe1m_fi) LpAe1m_sum += exp(0.23025850929940458*(L_pe1m_fi + A_weights_l_2015[i])) LpAe1m = 4.3429448190325175*log(LpAe1m_sum) return LpAe1m def control_valve_noise_g_2011(m, P1, P2, T1, rho, gamma, MW, Kv, d, Di, t_pipe, Fd, FL, FLP=None, FP=None, rho_pipe=7800.0, c_pipe=5000.0, P_air=101325.0, rho_air=1.2, c_air=343.0, An=-3.8, Stp=0.2, T2=None, beta=0.93): r'''Calculates the sound made by a gas flowing through a control valve according to the standard IEC 60534-8-3 (2011) [1]_. Parameters ---------- m : float Mass flow rate of gas through the control valve, [kg/s] P1 : float Inlet pressure of the gas before valves and reducers [Pa] P2 : float Outlet pressure of the gas after valves and reducers [Pa] T1 : float Inlet gas temperature, [K] rho : float Density of the gas at the inlet [kg/m^3] gamma : float Specific heat capacity ratio [-] MW : float Molecular weight of the gas [g/mol] Kv : float Metric Kv valve flow coefficient (flow rate of water at a pressure drop of 1 bar) [m^3/hr] d : float Diameter of the valve [m] Di : float Internal diameter of the pipe before and after the valve [m] t_pipe : float Wall thickness of the pipe after the valve, [m] Fd : float Valve style modifier (0.1 to 1; varies tremendously depending on the type of valve and position; do not use the default at all!) [-] FL : float Liquid pressure recovery factor of a control valve without attached fittings (normally 0.8-0.9 at full open and decreasing as opened further to below 0.5; use default very cautiously!) [-] FLP : float, optional Combined liquid pressure recovery factor with piping geometry factor, for a control valve with attached fittings [-] FP : float, optional Piping geometry factor [-] rho_pipe : float, optional Density of the pipe wall material at flowing conditions, [kg/m^3] c_pipe : float, optional Speed of sound of the pipe wall material at flowing conditions, [m/s] P_air : float, optional Pressure of the air surrounding the valve and pipe wall, [Pa] rho_air : float, optional Density of the air surrounding the valve and pipe wall, [kg/m^3] c_air : float, optional Speed of sound of the air surrounding the valve and pipe wall, [m/s] An : float, optional Valve correction factor for acoustic efficiency, [-] Stp : float, optional Strouhal number at the peak `fp`; between 0.1 and 0.3 typically, [-] T2 : float, optional Outlet gas temperature; assumed `T1` if not provided (a PH flash should be used to obtain this if possible), [K] beta : float, optional Valve outlet / expander inlet contraction coefficient, [-] Returns ------- LpAe1m : float A-weighted sound pressure level 1 m from the pipe wall, 1 m distance dowstream of the valve (at reference sound pressure level 2E-5), [dB] Notes ----- For formulas see [1]_. This takes on the order of 100 us to compute. For values of `An`, see [1]_. This model was checked against six examples in [1]_; they match to all given decimals. Several additional formulas are given for multihole trim valves, control valves with two or more fixed area stages, and multipath, multistage trim valves. Examples -------- >>> control_valve_noise_g_2011(m=2.22, P1=1E6, P2=7.2E5, T1=450, rho=5.3, ... gamma=1.22, MW=19.8, Kv=77.85, d=0.1, Di=0.2031, FL=None, FLP=0.792, ... FP=0.98, Fd=0.296, t_pipe=0.008, rho_pipe=8000.0, c_pipe=5000.0, ... rho_air=1.293, c_air=343.0, An=-3.8, Stp=0.2) 91.67702674629604 References ---------- .. [1] IEC 60534-8-3 : Industrial-Process Control Valves - Part 8-3: Noise Considerations - Control Valve Aerodynamic Noise Prediction Method." ''' k = gamma # alias C = Kv_to_Cv(Kv) N14 = 4.6E-3 N16 = 4.89E4 fs = 1.0 # structural loss factor reference frequency, Hz P_air_std = 101325.0 if T2 is None: T2 = T1 x = (P1 - P2)/P1 # FLP/FP when fittings attached FL_term = FLP/FP if FP is not None else FL P_vc = P1*(1.0 - x/FL_term**2) x_vcc = 1.0 - (2.0/(k + 1.0))**(k/(k - 1.0)) # mostly matches xc = FL_term**2*x_vcc alpha = (1.0 - x_vcc)/(1.0 - xc) xB = 1.0 - 1.0/alpha*(1.0/k)**((k/(k - 1.0))) xCE = 1.0 - 1.0/(22.0*alpha) # Regime determination check - should be ordered or won't work # assert xc < x_vcc # assert x_vcc < xB # assert xB < xCE if x <= xc: regime = 1 elif xc < x <= x_vcc: regime = 2 elif x_vcc < x <= xB: regime = 3 elif xB < x <= xCE: regime = 4 else: regime = 5 # print('regime', regime) Dj = N14*Fd*sqrt(C*(FL_term)) Mj5 = sqrt(2.0/(k - 1.0)*( 22.0**((k-1.0)/k) - 1.0 )) if regime == 1: Mvc = sqrt((2.0/(k-1.0)) *((1.0 - x/FL_term**2)**((1.0 - k)/k) - 1.0)) # Not match elif regime == 2 or regime == 3 or regime == 4: Mj = sqrt((2.0/(k-1.0))*((1.0/(alpha*(1.0-x)))**((k - 1.0)/k) - 1.0)) # Not match Mj = min(Mj, Mj5) # elif regime == 5: # pass if regime == 1: Tvc = T1*(1.0 - x/(FL_term)**2)**((k - 1.0)/k) cvc = sqrt(k*P1/rho*(1 - x/(FL_term)**2)**((k-1.0)/k)) Wm = 0.5*m*(Mvc*cvc)**2 else: Tvcc = 2.0*T1/(k + 1.0) cvcc = sqrt(2.0*k*P1/(k+1.0)/rho) Wm = 0.5*m*cvcc*cvcc # print('Wm', Wm) if regime == 1: fp = Stp*Mvc*cvc/Dj elif regime == 2 or regime == 3: fp = Stp*Mj*cvcc/Dj elif regime == 4: fp = 1.4*Stp*cvcc/Dj/sqrt(Mj*Mj - 1.0) elif regime == 5: fp = 1.4*Stp*cvcc/Dj/sqrt(Mj5*Mj5 - 1.0) fp_inv = 1.0/fp # print('fp', fp) if regime == 1: eta = 10.0**An*FL_term**2*(Mvc)**3 elif regime == 2: eta = 10.0**An*x/x_vcc*Mj**(6.6*FL_term*FL_term) elif regime == 3: eta = 10.0**An*Mj**(6.6*FL_term*FL_term) elif regime == 4: eta = 0.5*10.0**An*Mj*Mj*(sqrt(2.0))**(6.6*FL_term*FL_term) elif regime == 5: eta = 0.5*10.0**An*Mj5*Mj5*(sqrt(2.0))**(6.6*FL_term*FL_term) # print('eta', eta) Wa = eta*Wm rho2 = rho*(P2/P1) # Speed of sound c2 = sqrt(k*R*T2/(MW/1000.)) Mo = 4.0*m/(pi*d*d*rho2*c2) M2 = 4.0*m/(pi*Di*Di*rho2*c2) # print('M2', M2) Lg = 16.0*log10(1.0/(1.0 - min(M2, 0.3))) # dB if M2 > 0.3: Up = 4.0*m/(pi*rho2*Di*Di) UR = Up*Di*Di/(beta*d*d) WmR = 0.5*m*UR*UR*( (1.0 - d*d/(Di*Di))**2 + 0.2) fpR = Stp*UR/d MR = UR/c2 # Value listed in appendix here is wrong, "based on another # earlier standard. Calculation thereon is wrong". Assumed # correct, matches spreadsheet to three decimals. eta_R = 10**An*MR**3 WaR = eta_R*WmR L_piR = 10.0*log10((3.2E9)*WaR*rho2*c2/(Di*Di)) + Lg # print('Up', Up) # print('UR', UR) # print('WmR', WmR) # print('fpR', fpR) # print('MR', MR) # print('eta_R', eta_R, eta_R/8.8E-4) # print('WaR', WaR) # print('L_piR', L_piR) L_pi = 10.0*log10((3.2E9)*Wa*rho2*c2/(Di*Di)) + Lg # print('L_pi', L_pi) fr = c_pipe/(pi*Di) fo = 0.25*fr*(c2/c_air) fg = sqrt(3)*c_air**2/(pi*t_pipe*c_pipe) if d > 0.15: dTL = 0.0 elif 0.05 <= d <= 0.15: dTL = -16660.0*d**3 + 6370.0*d**2 - 813.0*d + 35.8 else: dTL = 9.0 # print(dTL, 'dTL') P_air_ratio = P_air/P_air_std LpAe1m_sum = 0.0 # LPis = [] # LPIRs = [] # L_pe1m_fis = [] for fi, A_weight in zip(fis_l_2015, A_weights_l_2015): # This gets adjusted when Ma > 0.3 fi_turb_ratio = fi*fp_inv t1 = 1.0 + (0.5*fi_turb_ratio)**2.5 t2 = 1.0 + (0.5/fi_turb_ratio)**1.7 # Formula forgot to use log10, but log10 is needed for the numbers Lpif = L_pi - 8.0 - 10.0*log10(t1*t2) # print(Lpif, 'Lpif') # LPis.append(Lpif) if M2 > 0.3: fiR_turb_ratio = fi/fpR t1 = 1.0 + (0.5*fiR_turb_ratio)**2.5 t2 = 1.0 + (0.5/fiR_turb_ratio)**1.7 # Again, log10 is missing LpiRf = L_piR - 8.0 - 10.0*log10(t1*t2) # LPIRs.append(LpiRf) LpiSf = 10.0*log10( 10**(0.1*Lpif) + 10.0**(0.1*LpiRf) ) if fi < fo: Gx = (fo/fr)**(2.0/3.0)*(fi/fo)**4.0 if fo < fg: Gy = (fo/fg) else: Gy = 1.0 else: if fi < fr: Gx = sqrt(fi/fr) else: Gx = 1.0 if fi < fg: Gy = fi/fg else: Gy = 1.0 eta_s = sqrt(0.01/fi) # print('eta_s', eta_s) # up to eta_s is good den = (rho2*c2 + 2.0*pi*t_pipe*fi*rho_pipe*eta_s)/(415.0*Gy) + 1.0 TL_fi = 10.0*log10(8.25E-7*(c2/(t_pipe*fi))**2*Gx/den*P_air_ratio) - dTL # Formula forgot to use log10, but log10 is needed for the numbers if M2 > 0.3: term = LpiSf else: term = Lpif L_pe1m_fi = term + TL_fi - 10.0*log10((Di + 2.0*t_pipe + 2.0)/(Di + 2.0*t_pipe)) # L_pe1m_fis.append(L_pe1m_fi) # print(L_pe1m_fi) LpAe1m_sum += 10.0**(0.1*(L_pe1m_fi + A_weight)) LpAe1m = 10.0*log10(LpAe1m_sum) return LpAe1m fluids-1.0.22/fluids/numba_vectorized.py0000644000175000017500000000324114302004506017602 0ustar nileshnilesh# -*- coding: utf-8 -*- """Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2020, Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. """ from __future__ import division import sys import importlib.util import types import numpy as np import fluids as normal_fluids import numba import fluids.numba __all__ = [] __funcs = {} numerics = fluids.numba.numerics #replaced, NUMERICS_SUBMOD = fluids.numba.create_numerics(replaced, vec=True) normal = normal_fluids replaced = fluids.numba.numerics_dict.copy() fluids.numba.transform_complete(replaced, __funcs, __all__, normal, vec=True) globals().update(__funcs) globals().update(replaced) fluids-1.0.22/fluids/separator.py0000644000175000017500000003216014302004506016244 0ustar nileshnilesh# -*- coding: utf-8 -*- """Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2016, 2017, 2018, 2020 Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. This module contains functionality for calculating rating and designing vapor-liquid separators. For reporting bugs, adding feature requests, or submitting pull requests, please use the `GitHub issue tracker `_ or contact the author at Caleb.Andrew.Bell@gmail.com. .. contents:: :local: Functions --------- .. autofunction :: v_Sounders_Brown .. autofunction :: K_separator_Watkins .. autofunction :: K_separator_demister_York .. autofunction :: K_Sounders_Brown_theoretical """ from __future__ import division from math import log, exp, sqrt from fluids.constants import g, foot, psi from fluids.numerics import splev, implementation_optimize_tck __all__ = ['v_Sounders_Brown', 'K_separator_Watkins', 'K_separator_demister_York', 'K_Sounders_Brown_theoretical'] # 92 points taken from a 2172x3212 page scan, after dewarping the scan, # digitization with Engauge Digitizer, and extensive checking; every 5th point # it produced was selected plus the last point. The initial value is adjusted # to be the lower limit of the graph. tck_Watkins = implementation_optimize_tck([[-5.115995809754082, -5.115995809754082, -5.115995809754082, -5.115995809754082, -4.160106231099973, -3.209113630523477, -1.2175106961204154, 0.4587657198189318, 1.1197669427405068, 1.6925908552310418, 1.6925908552310418, 1.6925908552310418, 1.6925908552310418], [-1.4404286048266364, -1.2375168139385286, -0.9072614905522024, -0.7662335745829165, -0.944537665617708, -1.957339717378027, -3.002614318094637, -3.5936804378352956, -3.8779153181940553, 0.0, 0.0, 0.0, 0.0], 3]) def K_separator_Watkins(x, rhol, rhog, horizontal=False, method='spline'): r'''Calculates the Sounders-Brown `K` factor as used in determining maximum allowable gas velocity in a two-phase separator in either a horizontal or vertical orientation. This function approximates a graph published in [1]_ to determine `K` as used in the following equation: .. math:: v_{max} = K_{SB}\sqrt{\frac{\rho_l-\rho_g}{\rho_g}} The graph has `K_{SB}` on its y-axis, and the following as its x-axis: .. math:: \frac{m_l}{m_g}\sqrt{\rho_g/\rho_l} = \frac{(1-x)}{x}\sqrt{\rho_g/\rho_l} Cubic spline interpolation is the default method of retrieving a value from the graph, which was digitized with Engauge-Digitizer. Also supported are two published curve fits to the graph. The first is that of Blackwell (1984) [2]_, as follows: .. math:: K_{SB} = \exp(-1.942936 -0.814894X -0.179390 X^2 -0.0123790 X^3 + 0.000386235 X^4 + 0.000259550 X^5) X = \ln\left[\frac{(1-x)}{x}\sqrt{\rho_g/\rho_l}\right] The second is that of Branan (1999), as follows: .. math:: K_{SB} = \exp(-1.877478097 -0.81145804597X -0.1870744085 X^2 -0.0145228667 X^3 -0.00101148518 X^4) X = \ln\left[\frac{(1-x)}{x}\sqrt{\rho_g/\rho_l}\right] Parameters ---------- x : float Quality of fluid entering separator, [-] rhol : float Density of liquid phase [kg/m^3] rhog : float Density of gas phase [kg/m^3] horizontal : bool, optional Whether to use the vertical or horizontal value; horizontal is 1.25 higher method : str One of 'spline, 'blackwell', or 'branan' Returns ------- K : float Sounders Brown horizontal or vertical `K` factor for two-phase separator design only, [m/s] Notes ----- Both the 'branan' and 'blackwell' models are used frequently. However, the spline is much more accurate. No limits checking is enforced. However, the x-axis spans only 0.006 to 5.4, and the function should not be used outside those limits. Examples -------- >>> K_separator_Watkins(0.88, 985.4, 1.3, horizontal=True) 0.07951613600476297 References ---------- .. [1] Watkins (1967). Sizing Separators and Accumulators, Hydrocarbon Processing, November 1967. .. [2] Blackwell, W. Wayne. Chemical Process Design on a Programmable Calculator. New York: Mcgraw-Hill, 1984. .. [3] Branan, Carl R. Pocket Guide to Chemical Engineering. 1st edition. Houston, Tex: Gulf Professional Publishing, 1999. ''' factor = (1. - x)/x*sqrt(rhog/rhol) if method == 'spline': K = exp(float(splev(log(factor), tck_Watkins))) elif method == 'blackwell': X = log(factor) A = -1.877478097 B = -0.81145804597 C = -0.1870744085 D = -0.0145228667 E = -0.00101148518 K = exp(A + X*(B + X*(C + X*(D + E*X)))) elif method == 'branan': X = log(factor) A = -1.942936 B = -0.814894 C = -0.179390 D = -0.0123790 E = 0.000386235 F = 0.000259550 K = exp(A + X*(B + X*(C + X*(D + X*(E + F*X))))) else: raise ValueError("Only methods 'spline', 'branan', and 'blackwell' are supported.") K *= foot # Converts units of ft/s to m/s; the graph and all fits are in ft/s if horizontal: K *= 1.25 # Watkins recommends a factor of 1.25 for horizontal separators over vertical separators return K def K_separator_demister_York(P, horizontal=False): r'''Calculates the Sounders Brown `K` factor as used in determining maximum permissible gas velocity in a two-phase separator in either a horizontal or vertical orientation, *with a demister*. This function is a curve fit to [1]_ published in [2]_ and is widely used. For 1 < P < 15 psia: .. math:: K = 0.1821 + 0.0029P + 0.0460\ln P For 15 <= P <= 40 psia: .. math:: K = 0.35 For P < 5500 psia: .. math:: K = 0.430 - 0.023\ln P In the above equations, P is in units of psia. Parameters ---------- P : float Pressure of separator, [Pa] horizontal : bool, optional Whether to use the vertical or horizontal value; horizontal is 1.25 times higher, [-] Returns ------- K : float Sounders Brown Horizontal or vertical `K` factor for two-phase separator design with a demister, [m/s] Notes ----- If the input pressure is under 1 psia, 1 psia is used. If the input pressure is over 5500 psia, 5500 psia is used. Examples -------- >>> K_separator_demister_York(975*psi) 0.08281536035331669 References ---------- .. [2] Otto H. York Company, "Mist Elimination in Gas Treatment Plants and Refineries," Engineering, Parsippany, NJ. .. [1] Svrcek, W. Y., and W. D. Monnery. "Design Two-Phase Separators within the Right Limits" Chemical Engineering Progress, (October 1, 1993): 53-60. ''' P = P/psi # Correlation in terms of psia if P < 15: if P < 1: P = 1 # Prevent negative K values, but as a consequence be # optimistic for K values; limit is 0.185 ft/s but real values # should probably be lower K = 0.1821 + 0.0029*P + 0.0460*log(P) elif P < 40: K = 0.35 else: if P > 5500: P = 5500 # Do not allow for lower K values above 5500 psia, as # the limit is stated to be 5500 K = 0.430 - 0.023*log(P) K *= foot # Converts units of ft/s to m/s; the graph and all fits are in ft/s if horizontal: # Watkins recommends a factor of 1.25 for horizontal separators over # vertical separators as well K *= 1.25 return K def v_Sounders_Brown(K, rhol, rhog): r'''Calculates the maximum allowable vapor velocity in a two-phase separator to permit separation between entrained droplets and the gas using an empirical `K` factor, named after Sounders and Brown [1]_. This is a simplifying expression for terminal velocity and drag on particles. .. math:: v_{max} = K_{SB} \sqrt{\frac{\rho_l-\rho_g}{\rho_g}} Parameters ---------- K : float Sounders Brown `K` factor for two-phase separator design, [m/s] rhol : float Density of liquid phase [kg/m^3] rhog : float Density of gas phase [kg/m^3] Returns ------- v_max : float Maximum allowable vapor velocity in a two-phase separator to permit separation between entrained droplets and the gas, [m/s] Notes ----- The Sounders Brown K factor is related to the terminal velocity as shown in the following expression. .. math:: v_{term} = v_{max} = \sqrt{\frac{4 g d_p (\rho_p-\rho_f)}{3 C_D \rho_f }} v_{term} = \sqrt{\frac{(\rho_p-\rho_f)}{\rho_f}} \sqrt{\frac{4 g d_p}{3 C_D}} v_{term} = K_{SB} \sqrt{\frac{4 g d_p}{3 C_D}} Note this form corresponds to the Newton's law range (Re > 500), but in reality droplets are normally in the intermediate or Stoke's law region [2]_. For this reason using the drag coefficient expression directly is cleaner, but identical results can be found with the Sounders Brown equation. Examples -------- >>> v_Sounders_Brown(K=0.08, rhol=985.4, rhog=1.3) 2.2010906387516167 References ---------- .. [1] Souders, Mott., and George Granger. Brown. "Design of Fractionating Columns I. Entrainment and Capacity." Industrial & Engineering Chemistry 26, no. 1 (January 1, 1934): 98-103. https://doi.org/10.1021/ie50289a025. .. [2] Vasude, Gael D. Ulrich and Palligarnai T. Chemical Engineering Process Design and Economics : A Practical Guide. 2nd edition. Durham, N.H: Process Publishing, 2004. ''' return K*sqrt((rhol - rhog)/rhog) def K_Sounders_Brown_theoretical(D, Cd, g=g): r'''Converts a known drag coefficient into a Sounders-Brown `K` factor for two-phase separator design. This factor is the traditional way for separator diameters to be obtained although it is unnecessary and the theoretical drag coefficient method can be used instead. .. math:: K_{SB} = \sqrt{\frac{(\rho_p-\rho_f)}{\rho_f}} = \sqrt{\frac{4 g d_p}{3 C_D}} Parameters ---------- D : float Design diameter of the droplets, [m] Cd : float Drag coefficient [-] g : float, optional Acceleration due to gravity, [m/s^2] Returns ------- K : float Sounders Brown `K` factor for two-phase separator design, [m/s] Notes ----- Drag coefficient is a function of velocity; so iteration is needed to obtain the most correct answer. The following example shows the use of iteration to obtain the final velocity: >>> from fluids import * >>> V = 2.0 >>> D = 150E-6 >>> rho = 1.3 >>> rhol = 700. >>> mu = 1E-5 >>> for i in range(10): ... Re = Reynolds(V=V, rho=rho, mu=mu, D=D) ... Cd = drag_sphere(Re) ... K = K_Sounders_Brown_theoretical(D=D, Cd=Cd) ... V = v_Sounders_Brown(K, rhol=rhol, rhog=rho) ... print('%.14f' %V) 0.76093307417658 0.56242939340131 0.50732895050696 0.48957142095508 0.48356021946899 0.48149076033622 0.48077414934614 0.48052549959141 0.48043916249756 0.48040917690193 The use of Sounders-Brown constants can be replaced as follows (the v_terminal method includes its own solver for terminal velocity): >>> from fluids.drag import v_terminal >>> v_terminal(D=D, rhop=rhol, rho=rho, mu=mu) 0.4803932186998 Examples -------- >>> K_Sounders_Brown_theoretical(D=150E-6, Cd=0.5) 0.06263114241333939 References ---------- .. [1] Svrcek, W. Y., and W. D. Monnery. "Design Two-Phase Separators within the Right Limits" Chemical Engineering Progress, (October 1, 1993): 53-60. ''' return sqrt((4.0/3.0)*g*D/(Cd)) fluids-1.0.22/fluids/friction.pyi0000644000175000017500000001301014302004506016223 0ustar nileshnilesh# DO NOT EDIT - AUTOMATICALLY GENERATED BY tests/make_test_stubs.py! from __future__ import annotations from typing import List from typing import ( List, Optional, Set, Tuple, Union, ) def Alshul_1952(Re: float, eD: float) -> float: ... def Avci_Karagoz_2009(Re: float, eD: float) -> float: ... def Barr_1981(Re: float, eD: float) -> float: ... def Blasius(Re: float) -> float: ... def Brkic_2011_1(Re: float, eD: float) -> float: ... def Brkic_2011_2(Re: float, eD: float) -> float: ... def Buzzelli_2008(Re: float, eD: float) -> float: ... def Chen_1979(Re: float, eD: float) -> float: ... def Churchill_1973(Re: float, eD: float) -> float: ... def Churchill_1977(Re: float, eD: float) -> float: ... def Clamond(Re: float, eD: float, fast: bool = ...) -> float: ... def Colebrook(Re: float, eD: float, tol: Optional[int] = ...) -> float: ... def Eck_1973(Re: float, eD: float) -> float: ... def Fang_2011(Re: float, eD: float) -> float: ... def Haaland(Re: float, eD: float) -> float: ... def Jain_1976(Re: float, eD: float) -> float: ... def Manadilli_1997(Re: float, eD: float) -> float: ... def Moody(Re: float, eD: float) -> float: ... def Papaevangelo_2010(Re: float, eD: float) -> float: ... def Prandtl_von_Karman_Nikuradse(Re: float) -> float: ... def Rao_Kumar_2007(Re: float, eD: float) -> float: ... def Romeo_2002(Re: float, eD: float) -> float: ... def Round_1980(Re: float, eD: float) -> float: ... def Serghides_1(Re: float, eD: float) -> float: ... def Serghides_2(Re: float, eD: float) -> float: ... def Shacham_1980(Re: float, eD: float) -> float: ... def Sonnad_Goudar_2006(Re: float, eD: float) -> float: ... def Swamee_Jain_1976(Re: float, eD: float) -> float: ... def Tsal_1989(Re: float, eD: float) -> float: ... def Wood_1966(Re: float, eD: float) -> float: ... def Zigrang_Sylvester_1(Re: float, eD: float) -> float: ... def Zigrang_Sylvester_2(Re: float, eD: float) -> float: ... def friction_factor( Re: float, eD: float = ..., Method: Optional[str] = ..., Darcy: bool = ... ) -> float: ... def friction_factor_curved( Re: float, Di: float, Dc: float, roughness: float = ..., Method: Optional[str] = ..., Rec_method: str = ..., laminar_method: str = ..., turbulent_method: str = ..., Darcy: bool = ... ) -> float: ... def friction_factor_curved_methods( Re: float, Di: float, Dc: float, roughness: float = ..., check_ranges: bool = ... ) -> List[str]: ... def friction_factor_methods(Re: float, eD: float = ..., check_ranges: bool = ...) -> List[str]: ... def friction_laminar(Re: float) -> float: ... def friction_plate_Kumar(Re: float, chevron_angle: float) -> float: ... def friction_plate_Martin_1999(Re: float, plate_enlargement_factor: float) -> float: ... def friction_plate_Martin_VDI(Re: float, plate_enlargement_factor: float) -> float: ... def friction_plate_Muley_Manglik(Re: float, chevron_angle: float, plate_enlargement_factor: float) -> float: ... def ft_Crane(D: float) -> float: ... def fuzzy_match(name: str, strings: Set[str]) -> str: ... def helical_Re_crit(Di: float, Dc: float, Method: str = ...) -> float: ... def helical_laminar_fd_Mori_Nakayama(Re: float, Di: float, Dc: float) -> float: ... def helical_laminar_fd_Schmidt(Re: float, Di: float, Dc: float) -> float: ... def helical_laminar_fd_White(Re: float, Di: float, Dc: float) -> float: ... def helical_transition_Re_Ito(Di: float, Dc: float) -> float: ... def helical_transition_Re_Kubair_Kuloor(Di: float, Dc: float) -> float: ... def helical_transition_Re_Kutateladze_Borishanskii(Di: float, Dc: float) -> float: ... def helical_transition_Re_Schmidt(Di: float, Dc: float) -> float: ... def helical_transition_Re_Seth_Stahel(Di: float, Dc: float) -> float: ... def helical_transition_Re_Srinivasan(Di: float, Dc: float) -> float: ... def helical_turbulent_fd_Czop(Re: float, Di: float, Dc: float) -> float: ... def helical_turbulent_fd_Guo(Re: float, Di: float, Dc: float) -> float: ... def helical_turbulent_fd_Ju(Re: float, Di: float, Dc: float, roughness: float = ...) -> float: ... def helical_turbulent_fd_Mandal_Nigam( Re: float, Di: float, Dc: float, roughness: float = ... ) -> float: ... def helical_turbulent_fd_Mori_Nakayama(Re: float, Di: float, Dc: float) -> float: ... def helical_turbulent_fd_Prasad( Re: float, Di: float, Dc: float, roughness: float = ... ) -> float: ... def helical_turbulent_fd_Schmidt( Re: float, Di: float, Dc: float, roughness: float = ... ) -> float: ... def helical_turbulent_fd_Srinivasan(Re: float, Di: float, Dc: float) -> float: ... def material_roughness(ID: str, D: Optional[float] = ..., optimism: Optional[bool] = ...) -> float: ... def nearest_material_roughness(name: str, clean: Optional[bool] = ...) -> str: ... def one_phase_dP( m: float, rho: float, mu: float, D: float, roughness: float = ..., L: float = ..., Method: None = ... ) -> float: ... def one_phase_dP_dz_acceleration(m: float, D: float, rho: float, dv_dP: float, dP_dL: float, dA_dL: float) -> float: ... def one_phase_dP_gravitational(angle: float, rho: float, L: float = ..., g: float = ...) -> float: ... def roughness_Farshad( ID: Optional[str] = ..., D: Optional[float] = ..., coeffs: Optional[Tuple[float, float]] = ... ) -> float: ... def transmission_factor(fd: Optional[float] = ..., F: Optional[float] = ...) -> float: ... def von_Karman(eD: float) -> float: ... __all__: List[str]fluids-1.0.22/fluids/packed_tower.pyi0000644000175000017500000000377514302004506017076 0ustar nileshnilesh# DO NOT EDIT - AUTOMATICALLY GENERATED BY tests/make_test_stubs.py! from __future__ import annotations from typing import List from typing import ( List, Tuple, Union, ) def Robbins(L: float, G: float, rhol: float, rhog: float, mul: float, H: float = ..., Fpd: float = ...) -> float: ... def Stichlmair_dry( Vg: float, rhog: float, mug: float, voidage: float, specific_area: float, C1: float, C2: float, C3: float, H: float = ... ) -> float: ... def Stichlmair_flood( Vl: float, rhog: float, rhol: float, mug: float, voidage: float, specific_area: float, C1: float, C2: float, C3: float, H: float = ... ) -> float: ... def Stichlmair_wet( Vg: float, Vl: float, rhog: float, rhol: float, mug: float, voidage: float, specific_area: float, C1: float, C2: float, C3: float, H: float = ... ) -> float: ... def _Stichlmair_flood_f_and_jac( inputs: List[float], Vl: float, rhog: float, rhol: float, mug: float, voidage: float, specific_area: float, C1: float, C2: float, C3: float, H: float ) -> Tuple[List[float], List[List[float]]]: ... def _Stichlmair_wet_err(dP_irr: float, h0: float, c1: float, dP_dry: float, H: float, voidage: float, c: float) -> float: ... def dP_demister_dry_Setekleiv_Svendsen( S: float, voidage: float, vs: float, rho: float, mu: float, L: float = ... ) -> float: ... def dP_demister_dry_Setekleiv_Svendsen_lit( S: float, voidage: float, vs: float, rho: float, mu: float, L: float = ... ) -> float: ... def dP_demister_wet_ElDessouky(vs: float, voidage: float, d_wire: float, L: float = ...) -> float: ... def separation_demister_ElDessouky(vs: float, voidage: float, d_wire: float, d_drop: float) -> float: ... def specific_area_mesh(voidage: float, d: float) -> float: ... def voidage_experimental(m: float, rho: float, D: float, H: float) -> float: ... __all__: List[str]fluids-1.0.22/fluids/core.pyi0000644000175000017500000001224214302004506015344 0ustar nileshnilesh# DO NOT EDIT - AUTOMATICALLY GENERATED BY tests/make_test_stubs.py! from __future__ import annotations from typing import List from typing import ( Optional, Union, ) def Archimedes(L: float, rhof: float, rhop: float, mu: float, g: float = ...) -> float: ... def Bejan_L(dP: float, L: float, mu: float, alpha: float) -> float: ... def Bejan_p(dP: float, K: float, mu: float, alpha: float) -> float: ... def Biot(h: float, L: float, k: float) -> float: ... def Boiling(G: float, q: float, Hvap: float) -> float: ... def Bond(rhol: float, rhog: float, sigma: float, L: float) -> float: ... def C2F(C: float) -> float: ... def C2K(C: float) -> float: ... def C2R(C: float) -> float: ... def Capillary(V: float, mu: float, sigma: float) -> float: ... def Cavitation(P: float, Psat: float, rho: float, V: float) -> float: ... def Confinement(D: float, rhol: float, rhog: float, sigma: float, g: float = ...) -> float: ... def Dean(Re: float, Di: float, D: float) -> float: ... def Drag(F: float, A: float, V: float, rho: float) -> float: ... def Eckert(V: float, Cp: float, dT: float) -> float: ... def Euler(dP: float, rho: float, V: float) -> float: ... def F2C(F: float) -> float: ... def F2K(F: float) -> float: ... def F2R(F: float) -> float: ... def Fourier_heat( t: float, L: float, rho: Optional[float] = ..., Cp: Optional[float] = ..., k: Optional[float] = ..., alpha: Optional[float] = ... ) -> float: ... def Fourier_mass(t: float, L: float, D: float) -> float: ... def Froude(V: float, L: float, g: float = ..., squared: bool = ...) -> float: ... def Froude_densimetric( V: float, L: float, rho1: float, rho2: float, heavy: bool = ..., g: float = ... ) -> float: ... def Graetz_heat( V: float, D: float, x: float, rho: Optional[float] = ..., Cp: Optional[float] = ..., k: Optional[float] = ..., alpha: Optional[float] = ... ) -> float: ... def Grashof( L: float, beta: float, T1: float, T2: float = ..., rho: Optional[float] = ..., mu: Optional[float] = ..., nu: Optional[float] = ..., g: float = ... ) -> float: ... def Hagen(Re: float, fd: float) -> float: ... def Jakob(Cp: float, Hvap: float, Te: float) -> float: ... def K2C(K: float) -> float: ... def K2F(K: float) -> float: ... def K2R(K: float) -> float: ... def K_from_L_equiv(L_D: float, fd: float = ...) -> float: ... def K_from_f(fd: float, L: float, D: float) -> float: ... def Knudsen(path: float, L: float) -> float: ... def L_equiv_from_K(K: float, fd: float = ...) -> float: ... def L_from_K(K: float, D: float, fd: float = ...) -> float: ... def Lewis( D: Optional[float] = ..., alpha: Optional[float] = ..., Cp: Optional[float] = ..., k: Optional[float] = ..., rho: Optional[float] = ... ) -> float: ... def Mach(V: float, c: float) -> float: ... def Morton(rhol: float, rhog: float, mul: float, sigma: float, g: float = ...) -> float: ... def Nusselt(h: float, L: float, k: float) -> float: ... def Ohnesorge(L: float, rho: float, mu: float, sigma: float) -> float: ... def P_from_head(head: float, rho: float, g: float = ...) -> float: ... def Peclet_heat( V: float, L: float, rho: Optional[float] = ..., Cp: Optional[float] = ..., k: Optional[float] = ..., alpha: Optional[float] = ... ) -> float: ... def Peclet_mass(V: float, L: float, D: float) -> float: ... def Power_number(P: float, L: float, N: float, rho: float) -> float: ... def Prandtl( Cp: Optional[float] = ..., k: Optional[float] = ..., mu: Optional[float] = ..., nu: Optional[float] = ..., rho: Optional[float] = ..., alpha: Optional[float] = ... ) -> float: ... def R2C(Ra: float) -> float: ... def R2F(Ra: float) -> float: ... def R2K(Ra: float) -> float: ... def Rayleigh(Pr: float, Gr: float) -> float: ... def Reynolds( V: float, D: float, rho: Optional[float] = ..., mu: Optional[float] = ..., nu: Optional[float] = ... ) -> float: ... def Schmidt(D: float, mu: Optional[float] = ..., nu: Optional[float] = ..., rho: Optional[float] = ...) -> float: ... def Sherwood(K: float, L: float, D: float) -> float: ... def Stanton(h: float, V: float, rho: float, Cp: float) -> float: ... def Stokes_number(V: float, Dp: float, D: float, rhop: float, mu: float) -> float: ... def Strouhal(f: float, L: float, V: float) -> float: ... def Suratman(L: float, rho: float, mu: float, sigma: float) -> float: ... def Weber(V: float, L: float, rho: float, sigma: float) -> float: ... def c_ideal_gas(T: float, k: float, MW: float) -> float: ... def dP_from_K(K: float, rho: float, V: float) -> float: ... def f_from_K(K: float, L: float, D: float) -> float: ... def gravity(latitude: float, H: float) -> float: ... def head_from_K(K: float, V: float, g: float = ...) -> float: ... def head_from_P(P: float, rho: float, g: float = ...) -> float: ... def nu_mu_converter(rho: float, mu: Optional[float] = ..., nu: Optional[float] = ...) -> float: ... def relative_roughness(D: float, roughness: float = ...) -> float: ... def thermal_diffusivity(k: float, rho: float, Cp: float) -> float: ... __all__: List[str]fluids-1.0.22/fluids/core.py0000644000175000017500000023071514302004506015202 0ustar nileshnilesh# -*- coding: utf-8 -*- """Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2016, 2017, 2018, 2019, 2020 Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. This module contains basic fluid mechanics and engineering calculations which have been found useful by the author. The main functionality is calculating dimensionless numbers, interconverting different forms of loss coefficients, and converting temperature units. For reporting bugs, adding feature requests, or submitting pull requests, please use the `GitHub issue tracker `_ or contact the author at Caleb.Andrew.Bell@gmail.com. .. contents:: :local: Dimensionless Numbers --------------------- .. autofunction:: Archimedes .. autofunction:: Bejan_L .. autofunction:: Bejan_p .. autofunction:: Biot .. autofunction:: Boiling .. autofunction:: Bond .. autofunction:: Capillary .. autofunction:: Cavitation .. autofunction:: Confinement .. autofunction:: Dean .. autofunction:: Drag .. autofunction:: Eckert .. autofunction:: Euler .. autofunction:: Fourier_heat .. autofunction:: Fourier_mass .. autofunction:: Froude .. autofunction:: Froude_densimetric .. autofunction:: Graetz_heat .. autofunction:: Grashof .. autofunction:: Hagen .. autofunction:: Jakob .. autofunction:: Knudsen .. autofunction:: Lewis .. autofunction:: Mach .. autofunction:: Morton .. autofunction:: Nusselt .. autofunction:: Ohnesorge .. autofunction:: Peclet_heat .. autofunction:: Peclet_mass .. autofunction:: Power_number .. autofunction:: Prandtl .. autofunction:: Rayleigh .. autofunction:: relative_roughness .. autofunction:: Reynolds .. autofunction:: Schmidt .. autofunction:: Sherwood .. autofunction:: Stanton .. autofunction:: Stokes_number .. autofunction:: Strouhal .. autofunction:: Suratman .. autofunction:: Weber Loss Coefficient Converters --------------------------- .. autofunction:: K_from_f .. autofunction:: K_from_L_equiv .. autofunction:: L_equiv_from_K .. autofunction:: L_from_K .. autofunction:: dP_from_K .. autofunction:: head_from_K .. autofunction:: head_from_P .. autofunction:: f_from_K .. autofunction:: P_from_head Temperature Conversions ----------------------- These functions used to be part of SciPy, but were removed in favor of a slower function `convert_temperature` which removes code duplication but doesn't have the same convenience or easy to remember signature. .. autofunction:: C2K .. autofunction:: K2C .. autofunction:: F2C .. autofunction:: C2F .. autofunction:: F2K .. autofunction:: K2F .. autofunction:: C2R .. autofunction:: K2R .. autofunction:: F2R .. autofunction:: R2C .. autofunction:: R2K .. autofunction:: R2F Miscellaneous Functions ----------------------- .. autofunction:: thermal_diffusivity .. autofunction:: c_ideal_gas .. autofunction:: nu_mu_converter .. autofunction:: gravity """ from __future__ import division ''' Additional copyright: The functions C2K, K2C, F2C, C2F, F2K, K2F, C2R, K2R, F2R, R2C, R2K, R2F were deprecated from scipy but are still wanted by fluids Taken from scipy/constants/constants.py as in commit https://github.com/scipy/scipy/commit/4b7d325cd50e8828b06d628e69426a18283dc5b5 Also from https://github.com/scipy/scipy/pull/5292 by Gillu13 (Gilles Aouizerate) They are copyright individual contributors to SciPy, under the BSD 3-Clause The license of scipy is as follows: Copyright (c) 2001-2002 Enthought, Inc. 2003-2019, SciPy Developers. All rights reserved. Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met: 1. Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer. 2. Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution. 3. Neither the name of the copyright holder nor the names of its contributors may be used to endorse or promote products derived from this software without specific prior written permission. THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ''' from math import sqrt, sin, exp, pi, fabs, copysign from fluids.constants import g, R import sys __all__ = ['Reynolds', 'Prandtl', 'Grashof', 'Nusselt', 'Sherwood', 'Rayleigh', 'Schmidt', 'Peclet_heat', 'Peclet_mass', 'Fourier_heat', 'Fourier_mass', 'Graetz_heat', 'Lewis', 'Weber', 'Mach', 'Knudsen', 'Bond', 'Dean', 'Morton', 'Froude', 'Froude_densimetric', 'Strouhal', 'Biot', 'Stanton', 'Euler', 'Cavitation', 'Eckert', 'Jakob', 'Power_number', 'Stokes_number', 'Drag', 'Capillary', 'Bejan_L', 'Bejan_p', 'Boiling', 'Confinement', 'Archimedes', 'Ohnesorge', 'Suratman', 'Hagen', 'thermal_diffusivity', 'c_ideal_gas', 'relative_roughness', 'nu_mu_converter', 'gravity', 'K_from_f', 'K_from_L_equiv', 'L_equiv_from_K', 'L_from_K', 'dP_from_K', 'head_from_K', 'head_from_P', 'f_from_K', 'P_from_head', 'Eotvos', 'C2K', 'K2C', 'F2C', 'C2F', 'F2K', 'K2F', 'C2R', 'K2R', 'F2R', 'R2C', 'R2K', 'R2F', 'PY3', ] version_components = sys.version.split('.') PY_MAJOR, PY_MINOR = int(version_components[0]), int(version_components[1]) PY3 = PY_MAJOR >= 3 ### Not quite dimensionless groups def thermal_diffusivity(k, rho, Cp): r'''Calculates thermal diffusivity or `alpha` for a fluid with the given parameters. .. math:: \alpha = \frac{k}{\rho Cp} Parameters ---------- k : float Thermal conductivity, [W/m/K] rho : float Density, [kg/m^3] Cp : float Heat capacity, [J/kg/K] Returns ------- alpha : float Thermal diffusivity, [m^2/s] Notes ----- Examples -------- >>> thermal_diffusivity(k=0.02, rho=1., Cp=1000.) 2e-05 References ---------- .. [1] Blevins, Robert D. Applied Fluid Dynamics Handbook. New York, N.Y.: Van Nostrand Reinhold Co., 1984. ''' return k/(rho*Cp) ### Ideal gas fluid properties def c_ideal_gas(T, k, MW): r'''Calculates speed of sound `c` in an ideal gas at temperature T. .. math:: c = \sqrt{kR_{specific}T} Parameters ---------- T : float Temperature of fluid, [K] k : float Isentropic exponent of fluid, [-] MW : float Molecular weight of fluid, [g/mol] Returns ------- c : float Speed of sound in fluid, [m/s] Notes ----- Used in compressible flow calculations. Note that the gas constant used is the specific gas constant: .. math:: R_{specific} = R\frac{1000}{MW} Examples -------- >>> c_ideal_gas(T=303, k=1.4, MW=28.96) 348.9820953185441 References ---------- .. [1] Green, Don, and Robert Perry. Perry's Chemical Engineers' Handbook, Eighth Edition. McGraw-Hill Professional, 2007. .. [2] Cengel, Yunus, and John Cimbala. Fluid Mechanics: Fundamentals and Applications. Boston: McGraw Hill Higher Education, 2006. ''' Rspecific = R*1000./MW return sqrt(k*Rspecific*T) ### Dimensionless groups with documentation def Reynolds(V, D, rho=None, mu=None, nu=None): r'''Calculates Reynolds number or `Re` for a fluid with the given properties for the specified velocity and diameter. .. math:: Re = \frac{D \cdot V}{\nu} = \frac{\rho V D}{\mu} Inputs either of any of the following sets: * V, D, density `rho` and dynamic viscosity `mu` * V, D, and kinematic viscosity `nu` Parameters ---------- V : float Velocity [m/s] D : float Diameter [m] rho : float, optional Density, [kg/m^3] mu : float, optional Dynamic viscosity, [Pa*s] nu : float, optional Kinematic viscosity, [m^2/s] Returns ------- Re : float Reynolds number [] Notes ----- .. math:: Re = \frac{\text{Momentum}}{\text{Viscosity}} An error is raised if none of the required input sets are provided. Examples -------- >>> Reynolds(2.5, 0.25, 1.1613, 1.9E-5) 38200.65789473684 >>> Reynolds(2.5, 0.25, nu=1.636e-05) 38202.93398533008 References ---------- .. [1] Green, Don, and Robert Perry. Perry's Chemical Engineers' Handbook, Eighth Edition. McGraw-Hill Professional, 2007. .. [2] Cengel, Yunus, and John Cimbala. Fluid Mechanics: Fundamentals and Applications. Boston: McGraw Hill Higher Education, 2006. ''' if rho is not None and mu is not None: nu = mu/rho elif nu is None: raise ValueError('Either density and viscosity, or dynamic viscosity, \ is needed') return V*D/nu def Peclet_heat(V, L, rho=None, Cp=None, k=None, alpha=None): r'''Calculates heat transfer Peclet number or `Pe` for a specified velocity `V`, characteristic length `L`, and specified properties for the given fluid. .. math:: Pe = \frac{VL\rho C_p}{k} = \frac{LV}{\alpha} Inputs either of any of the following sets: * V, L, density `rho`, heat capacity `Cp`, and thermal conductivity `k` * V, L, and thermal diffusivity `alpha` Parameters ---------- V : float Velocity [m/s] L : float Characteristic length [m] rho : float, optional Density, [kg/m^3] Cp : float, optional Heat capacity, [J/kg/K] k : float, optional Thermal conductivity, [W/m/K] alpha : float, optional Thermal diffusivity, [m^2/s] Returns ------- Pe : float Peclet number (heat) [] Notes ----- .. math:: Pe = \frac{\text{Bulk heat transfer}}{\text{Conduction heat transfer}} An error is raised if none of the required input sets are provided. Examples -------- >>> Peclet_heat(1.5, 2, 1000., 4000., 0.6) 20000000.0 >>> Peclet_heat(1.5, 2, alpha=1E-7) 30000000.0 References ---------- .. [1] Green, Don, and Robert Perry. Perry's Chemical Engineers' Handbook, Eighth Edition. McGraw-Hill Professional, 2007. .. [2] Cengel, Yunus, and John Cimbala. Fluid Mechanics: Fundamentals and Applications. Boston: McGraw Hill Higher Education, 2006. ''' if rho is not None and Cp is not None and k is not None: alpha = k/(rho*Cp) elif alpha is None: raise ValueError('Either heat capacity and thermal conductivity and\ density, or thermal diffusivity is needed') return V*L/alpha def Peclet_mass(V, L, D): r'''Calculates mass transfer Peclet number or `Pe` for a specified velocity `V`, characteristic length `L`, and diffusion coefficient `D`. .. math:: Pe = \frac{L V}{D} Parameters ---------- V : float Velocity [m/s] L : float Characteristic length [m] D : float Diffusivity of a species, [m^2/s] Returns ------- Pe : float Peclet number (mass) [] Notes ----- .. math:: Pe = \frac{\text{Advective transport rate}}{\text{Diffusive transport rate}} Examples -------- >>> Peclet_mass(1.5, 2, 1E-9) 3000000000.0 References ---------- .. [1] Green, Don, and Robert Perry. Perry's Chemical Engineers' Handbook, Eighth Edition. McGraw-Hill Professional, 2007. ''' return V*L/D def Fourier_heat(t, L, rho=None, Cp=None, k=None, alpha=None): r'''Calculates heat transfer Fourier number or `Fo` for a specified time `t`, characteristic length `L`, and specified properties for the given fluid. .. math:: Fo = \frac{k t}{C_p \rho L^2} = \frac{\alpha t}{L^2} Inputs either of any of the following sets: * t, L, density `rho`, heat capacity `Cp`, and thermal conductivity `k` * t, L, and thermal diffusivity `alpha` Parameters ---------- t : float time [s] L : float Characteristic length [m] rho : float, optional Density, [kg/m^3] Cp : float, optional Heat capacity, [J/kg/K] k : float, optional Thermal conductivity, [W/m/K] alpha : float, optional Thermal diffusivity, [m^2/s] Returns ------- Fo : float Fourier number (heat) [] Notes ----- .. math:: Fo = \frac{\text{Heat conduction rate}} {\text{Rate of thermal energy storage in a solid}} An error is raised if none of the required input sets are provided. Examples -------- >>> Fourier_heat(t=1.5, L=2, rho=1000., Cp=4000., k=0.6) 5.625e-08 >>> Fourier_heat(1.5, 2, alpha=1E-7) 3.75e-08 References ---------- .. [1] Green, Don, and Robert Perry. Perry's Chemical Engineers' Handbook, Eighth Edition. McGraw-Hill Professional, 2007. .. [2] Cengel, Yunus, and John Cimbala. Fluid Mechanics: Fundamentals and Applications. Boston: McGraw Hill Higher Education, 2006. ''' if rho is not None and Cp is not None and k is not None: alpha = k/(rho*Cp) elif alpha is None: raise ValueError('Either heat capacity and thermal conductivity and \ density, or thermal diffusivity is needed') return t*alpha/(L*L) def Fourier_mass(t, L, D): r'''Calculates mass transfer Fourier number or `Fo` for a specified time `t`, characteristic length `L`, and diffusion coefficient `D`. .. math:: Fo = \frac{D t}{L^2} Parameters ---------- t : float time [s] L : float Characteristic length [m] D : float Diffusivity of a species, [m^2/s] Returns ------- Fo : float Fourier number (mass) [] Notes ----- .. math:: Fo = \frac{\text{Diffusive transport rate}}{\text{Storage rate}} Examples -------- >>> Fourier_mass(t=1.5, L=2, D=1E-9) 3.7500000000000005e-10 References ---------- .. [1] Green, Don, and Robert Perry. Perry's Chemical Engineers' Handbook, Eighth Edition. McGraw-Hill Professional, 2007. ''' return t*D/(L*L) def Graetz_heat(V, D, x, rho=None, Cp=None, k=None, alpha=None): r'''Calculates Graetz number or `Gz` for a specified velocity `V`, diameter `D`, axial distance `x`, and specified properties for the given fluid. .. math:: Gz = \frac{VD^2\cdot C_p \rho}{x\cdot k} = \frac{VD^2}{x \alpha} Inputs either of any of the following sets: * V, D, x, density `rho`, heat capacity `Cp`, and thermal conductivity `k` * V, D, x, and thermal diffusivity `alpha` Parameters ---------- V : float Velocity, [m/s] D : float Diameter [m] x : float Axial distance [m] rho : float, optional Density, [kg/m^3] Cp : float, optional Heat capacity, [J/kg/K] k : float, optional Thermal conductivity, [W/m/K] alpha : float, optional Thermal diffusivity, [m^2/s] Returns ------- Gz : float Graetz number [] Notes ----- .. math:: Gz = \frac{\text{Time for radial heat diffusion in a fluid by conduction}} {\text{Time taken by fluid to reach distance x}} .. math:: Gz = \frac{D}{x}RePr An error is raised if none of the required input sets are provided. Examples -------- >>> Graetz_heat(1.5, 0.25, 5, 800., 2200., 0.6) 55000.0 >>> Graetz_heat(1.5, 0.25, 5, alpha=1E-7) 187500.0 References ---------- .. [1] Bergman, Theodore L., Adrienne S. Lavine, Frank P. Incropera, and David P. DeWitt. Introduction to Heat Transfer. 6E. Hoboken, NJ: Wiley, 2011. ''' if rho is not None and Cp is not None and k is not None: alpha = k/(rho*Cp) elif alpha is None: raise ValueError('Either heat capacity and thermal conductivity and\ density, or thermal diffusivity is needed') return V*D*D/(x*alpha) def Schmidt(D, mu=None, nu=None, rho=None): r'''Calculates Schmidt number or `Sc` for a fluid with the given parameters. .. math:: Sc = \frac{\mu}{D\rho} = \frac{\nu}{D} Inputs can be any of the following sets: * Diffusivity, dynamic viscosity, and density * Diffusivity and kinematic viscosity Parameters ---------- D : float Diffusivity of a species, [m^2/s] mu : float, optional Dynamic viscosity, [Pa*s] nu : float, optional Kinematic viscosity, [m^2/s] rho : float, optional Density, [kg/m^3] Returns ------- Sc : float Schmidt number [] Notes ----- .. math:: Sc =\frac{\text{kinematic viscosity}}{\text{molecular diffusivity}} = \frac{\text{viscous diffusivity}}{\text{species diffusivity}} An error is raised if none of the required input sets are provided. Examples -------- >>> Schmidt(D=2E-6, mu=4.61E-6, rho=800) 0.00288125 >>> Schmidt(D=1E-9, nu=6E-7) 599.9999999999999 References ---------- .. [1] Green, Don, and Robert Perry. Perry's Chemical Engineers' Handbook, Eighth Edition. McGraw-Hill Professional, 2007. .. [2] Cengel, Yunus, and John Cimbala. Fluid Mechanics: Fundamentals and Applications. Boston: McGraw Hill Higher Education, 2006. ''' if rho is not None and mu is not None: return mu/(rho*D) elif nu is not None: return nu/D else: raise ValueError('Insufficient information provided for Schmidt number calculation') def Lewis(D=None, alpha=None, Cp=None, k=None, rho=None): r'''Calculates Lewis number or `Le` for a fluid with the given parameters. .. math:: Le = \frac{k}{\rho C_p D} = \frac{\alpha}{D} Inputs can be either of the following sets: * Diffusivity and Thermal diffusivity * Diffusivity, heat capacity, thermal conductivity, and density Parameters ---------- D : float Diffusivity of a species, [m^2/s] alpha : float, optional Thermal diffusivity, [m^2/s] Cp : float, optional Heat capacity, [J/kg/K] k : float, optional Thermal conductivity, [W/m/K] rho : float, optional Density, [kg/m^3] Returns ------- Le : float Lewis number [] Notes ----- .. math:: Le=\frac{\text{Thermal diffusivity}}{\text{Mass diffusivity}} = \frac{Sc}{Pr} An error is raised if none of the required input sets are provided. Examples -------- >>> Lewis(D=22.6E-6, alpha=19.1E-6) 0.8451327433628318 >>> Lewis(D=22.6E-6, rho=800., k=.2, Cp=2200) 0.00502815768302494 References ---------- .. [1] Green, Don, and Robert Perry. Perry's Chemical Engineers' Handbook, Eighth Edition. McGraw-Hill Professional, 2007. .. [2] Cengel, Yunus, and John Cimbala. Fluid Mechanics: Fundamentals and Applications. Boston: McGraw Hill Higher Education, 2006. .. [3] Gesellschaft, V. D. I., ed. VDI Heat Atlas. 2nd edition. Berlin; New York:: Springer, 2010. ''' if k is not None and Cp is not None and rho is not None: alpha = k/(rho*Cp) elif alpha is None: raise ValueError('Insufficient information provided for Le calculation') return alpha/D def Weber(V, L, rho, sigma): r'''Calculates Weber number, `We`, for a fluid with the given density, surface tension, velocity, and geometric parameter (usually diameter of bubble). .. math:: We = \frac{V^2 L\rho}{\sigma} Parameters ---------- V : float Velocity of fluid, [m/s] L : float Characteristic length, typically bubble diameter [m] rho : float Density of fluid, [kg/m^3] sigma : float Surface tension, [N/m] Returns ------- We : float Weber number [] Notes ----- Used in bubble calculations. .. math:: We = \frac{\text{inertial force}}{\text{surface tension force}} Examples -------- >>> Weber(V=0.18, L=0.001, rho=900., sigma=0.01) 2.916 References ---------- .. [1] Green, Don, and Robert Perry. Perry's Chemical Engineers' Handbook, Eighth Edition. McGraw-Hill Professional, 2007. .. [2] Cengel, Yunus, and John Cimbala. Fluid Mechanics: Fundamentals and Applications. Boston: McGraw Hill Higher Education, 2006. .. [3] Gesellschaft, V. D. I., ed. VDI Heat Atlas. 2nd edition. Berlin; New York:: Springer, 2010. ''' return V*V*L*rho/sigma def Mach(V, c): r'''Calculates Mach number or `Ma` for a fluid of velocity `V` with speed of sound `c`. .. math:: Ma = \frac{V}{c} Parameters ---------- V : float Velocity of fluid, [m/s] c : float Speed of sound in fluid, [m/s] Returns ------- Ma : float Mach number [] Notes ----- Used in compressible flow calculations. .. math:: Ma = \frac{\text{fluid velocity}}{\text{sonic velocity}} Examples -------- >>> Mach(33., 330) 0.1 References ---------- .. [1] Green, Don, and Robert Perry. Perry's Chemical Engineers' Handbook, Eighth Edition. McGraw-Hill Professional, 2007. .. [2] Cengel, Yunus, and John Cimbala. Fluid Mechanics: Fundamentals and Applications. Boston: McGraw Hill Higher Education, 2006. ''' return V/c def Confinement(D, rhol, rhog, sigma, g=g): r'''Calculates Confinement number or `Co` for a fluid in a channel of diameter `D` with liquid and gas densities `rhol` and `rhog` and surface tension `sigma`, under the influence of gravitational force `g`. .. math:: \text{Co}=\frac{\left[\frac{\sigma}{g(\rho_l-\rho_g)}\right]^{0.5}}{D} Parameters ---------- D : float Diameter of channel, [m] rhol : float Density of liquid phase, [kg/m^3] rhog : float Density of gas phase, [kg/m^3] sigma : float Surface tension between liquid-gas phase, [N/m] g : float, optional Acceleration due to gravity, [m/s^2] Returns ------- Co : float Confinement number [-] Notes ----- Used in two-phase pressure drop and heat transfer correlations. First used in [1]_ according to [3]_. .. math:: \text{Co} = \frac{\frac{\text{surface tension force}} {\text{buoyancy force}}}{\text{Channel area}} Examples -------- >>> Confinement(0.001, 1077, 76.5, 4.27E-3) 0.6596978265315191 References ---------- .. [1] Cornwell, Keith, and Peter A. Kew. "Boiling in Small Parallel Channels." In Energy Efficiency in Process Technology, edited by Dr P. A. Pilavachi, 624-638. Springer Netherlands, 1993. doi:10.1007/978-94-011-1454-7_56. .. [2] Kandlikar, Satish G. Heat Transfer and Fluid Flow in Minichannels and Microchannels. Elsevier, 2006. .. [3] Tran, T. N, M. -C Chyu, M. W Wambsganss, and D. M France. Two-Phase Pressure Drop of Refrigerants during Flow Boiling in Small Channels: An Experimental Investigation and Correlation Development." International Journal of Multiphase Flow 26, no. 11 (November 1, 2000): 1739-54. doi:10.1016/S0301-9322(99)00119-6. ''' return sqrt(sigma/(g*(rhol-rhog)))/D def Morton(rhol, rhog, mul, sigma, g=g): r'''Calculates Morton number or `Mo` for a liquid and vapor with the specified properties, under the influence of gravitational force `g`. .. math:: Mo = \frac{g \mu_l^4(\rho_l - \rho_g)}{\rho_l^2 \sigma^3} Parameters ---------- rhol : float Density of liquid phase, [kg/m^3] rhog : float Density of gas phase, [kg/m^3] mul : float Viscosity of liquid phase, [Pa*s] sigma : float Surface tension between liquid-gas phase, [N/m] g : float, optional Acceleration due to gravity, [m/s^2] Returns ------- Mo : float Morton number, [-] Notes ----- Used in modeling bubbles in liquid. Examples -------- >>> Morton(1077.0, 76.5, 4.27E-3, 0.023) 2.311183104430743e-07 References ---------- .. [1] Kunes, Josef. Dimensionless Physical Quantities in Science and Engineering. Elsevier, 2012. .. [2] Yan, Xiaokang, Kaixin Zheng, Yan Jia, Zhenyong Miao, Lijun Wang, Yijun Cao, and Jiongtian Liu. “Drag Coefficient Prediction of a Single Bubble Rising in Liquids.†Industrial & Engineering Chemistry Research, April 2, 2018. https://doi.org/10.1021/acs.iecr.7b04743. ''' mul2 = mul*mul return g*mul2*mul2*(rhol - rhog)/(rhol*rhol*sigma*sigma*sigma) def Knudsen(path, L): r'''Calculates Knudsen number or `Kn` for a fluid with mean free path `path` and for a characteristic length `L`. .. math:: Kn = \frac{\lambda}{L} Parameters ---------- path : float Mean free path between molecular collisions, [m] L : float Characteristic length, [m] Returns ------- Kn : float Knudsen number [] Notes ----- Used in mass transfer calculations. .. math:: Kn = \frac{\text{Mean free path length}}{\text{Characteristic length}} Examples -------- >>> Knudsen(1e-10, .001) 1e-07 References ---------- .. [1] Green, Don, and Robert Perry. Perry's Chemical Engineers' Handbook, Eighth Edition. McGraw-Hill Professional, 2007. .. [2] Cengel, Yunus, and John Cimbala. Fluid Mechanics: Fundamentals and Applications. Boston: McGraw Hill Higher Education, 2006. ''' return path/L def Prandtl(Cp=None, k=None, mu=None, nu=None, rho=None, alpha=None): r'''Calculates Prandtl number or `Pr` for a fluid with the given parameters. .. math:: Pr = \frac{C_p \mu}{k} = \frac{\nu}{\alpha} = \frac{C_p \rho \nu}{k} Inputs can be any of the following sets: * Heat capacity, dynamic viscosity, and thermal conductivity * Thermal diffusivity and kinematic viscosity * Heat capacity, kinematic viscosity, thermal conductivity, and density Parameters ---------- Cp : float Heat capacity, [J/kg/K] k : float Thermal conductivity, [W/m/K] mu : float, optional Dynamic viscosity, [Pa*s] nu : float, optional Kinematic viscosity, [m^2/s] rho : float Density, [kg/m^3] alpha : float Thermal diffusivity, [m^2/s] Returns ------- Pr : float Prandtl number [] Notes ----- .. math:: Pr=\frac{\text{kinematic viscosity}}{\text{thermal diffusivity}} = \frac{\text{momentum diffusivity}}{\text{thermal diffusivity}} An error is raised if none of the required input sets are provided. Examples -------- >>> Prandtl(Cp=1637., k=0.010, mu=4.61E-6) 0.754657 >>> Prandtl(Cp=1637., k=0.010, nu=6.4E-7, rho=7.1) 0.7438528 >>> Prandtl(nu=6.3E-7, alpha=9E-7) 0.7000000000000001 References ---------- .. [1] Green, Don, and Robert Perry. Perry's Chemical Engineers' Handbook, Eighth Edition. McGraw-Hill Professional, 2007. .. [2] Cengel, Yunus, and John Cimbala. Fluid Mechanics: Fundamentals and Applications. Boston: McGraw Hill Higher Education, 2006. .. [3] Gesellschaft, V. D. I., ed. VDI Heat Atlas. 2nd edition. Berlin; New York:: Springer, 2010. ''' if k is not None and Cp is not None and mu is not None: return Cp*mu/k elif nu is not None and rho is not None and Cp is not None and k is not None: return nu*rho*Cp/k elif nu is not None and alpha is not None: return nu/alpha else: raise ValueError('Insufficient information provided for Pr calculation') def Grashof(L, beta, T1, T2=0, rho=None, mu=None, nu=None, g=g): r'''Calculates Grashof number or `Gr` for a fluid with the given properties, temperature difference, and characteristic length. .. math:: Gr = \frac{g\beta (T_s-T_\infty)L^3}{\nu^2} = \frac{g\beta (T_s-T_\infty)L^3\rho^2}{\mu^2} Inputs either of any of the following sets: * L, beta, T1 and T2, and density `rho` and kinematic viscosity `mu` * L, beta, T1 and T2, and dynamic viscosity `nu` Parameters ---------- L : float Characteristic length [m] beta : float Volumetric thermal expansion coefficient [1/K] T1 : float Temperature 1, usually a film temperature [K] T2 : float, optional Temperature 2, usually a bulk temperature (or 0 if only a difference is provided to the function) [K] rho : float, optional Density, [kg/m^3] mu : float, optional Dynamic viscosity, [Pa*s] nu : float, optional Kinematic viscosity, [m^2/s] g : float, optional Acceleration due to gravity, [m/s^2] Returns ------- Gr : float Grashof number [] Notes ----- .. math:: Gr = \frac{\text{Buoyancy forces}}{\text{Viscous forces}} An error is raised if none of the required input sets are provided. Used in free convection problems only. Examples -------- Example 4 of [1]_, p. 1-21 (matches): >>> Grashof(L=0.9144, beta=0.000933, T1=178.2, rho=1.1613, mu=1.9E-5) 4656936556.178915 >>> Grashof(L=0.9144, beta=0.000933, T1=378.2, T2=200, nu=1.636e-05) 4657491516.530312 References ---------- .. [1] Green, Don, and Robert Perry. Perry's Chemical Engineers' Handbook, Eighth Edition. McGraw-Hill Professional, 2007. .. [2] Cengel, Yunus, and John Cimbala. Fluid Mechanics: Fundamentals and Applications. Boston: McGraw Hill Higher Education, 2006. ''' if rho is not None and mu is not None: nu = mu/rho elif nu is None: raise ValueError('Either density and viscosity, or dynamic viscosity, \ is needed') return g*beta*abs(T2-T1)*L*L*L/(nu*nu) def Bond(rhol, rhog, sigma, L): r'''Calculates Bond number, `Bo` also known as Eotvos number, for a fluid with the given liquid and gas densities, surface tension, and geometric parameter (usually length). .. math:: Bo = \frac{g(\rho_l-\rho_g)L^2}{\sigma} Parameters ---------- rhol : float Density of liquid, [kg/m^3] rhog : float Density of gas, [kg/m^3] sigma : float Surface tension, [N/m] L : float Characteristic length, [m] Returns ------- Bo : float Bond number [] Examples -------- >>> Bond(1000., 1.2, .0589, 2) 665187.2339558573 References ---------- .. [1] Green, Don, and Robert Perry. Perry's Chemical Engineers' Handbook, Eighth Edition. McGraw-Hill Professional, 2007. ''' return (g*(rhol-rhog)*L*L/sigma) Eotvos = Bond def Rayleigh(Pr, Gr): r'''Calculates Rayleigh number or `Ra` using Prandtl number `Pr` and Grashof number `Gr` for a fluid with the given properties, temperature difference, and characteristic length used to calculate `Gr` and `Pr`. .. math:: Ra = PrGr Parameters ---------- Pr : float Prandtl number [] Gr : float Grashof number [] Returns ------- Ra : float Rayleigh number [] Notes ----- Used in free convection problems only. Examples -------- >>> Rayleigh(1.2, 4.6E9) 5520000000.0 References ---------- .. [1] Green, Don, and Robert Perry. Perry's Chemical Engineers' Handbook, Eighth Edition. McGraw-Hill Professional, 2007. .. [2] Cengel, Yunus, and John Cimbala. Fluid Mechanics: Fundamentals and Applications. Boston: McGraw Hill Higher Education, 2006. ''' return Pr*Gr def Froude(V, L, g=g, squared=False): r'''Calculates Froude number `Fr` for velocity `V` and geometric length `L`. If desired, gravity can be specified as well. Normally the function returns the result of the equation below; Froude number is also often said to be defined as the square of the equation below. .. math:: Fr = \frac{V}{\sqrt{gL}} Parameters ---------- V : float Velocity of the particle or fluid, [m/s] L : float Characteristic length, no typical definition [m] g : float, optional Acceleration due to gravity, [m/s^2] squared : bool, optional Whether to return the squared form of Froude number Returns ------- Fr : float Froude number, [-] Notes ----- Many alternate definitions including density ratios have been used. .. math:: Fr = \frac{\text{Inertial Force}}{\text{Gravity Force}} Examples -------- >>> Froude(1.83, L=2., g=1.63) 1.0135432593877318 >>> Froude(1.83, L=2., squared=True) 0.17074638128208924 References ---------- .. [1] Green, Don, and Robert Perry. Perry's Chemical Engineers' Handbook, Eighth Edition. McGraw-Hill Professional, 2007. .. [2] Cengel, Yunus, and John Cimbala. Fluid Mechanics: Fundamentals and Applications. Boston: McGraw Hill Higher Education, 2006. ''' Fr = V/sqrt(L*g) if squared: Fr *= Fr return Fr def Froude_densimetric(V, L, rho1, rho2, heavy=True, g=g): r'''Calculates the densimetric Froude number :math:`Fr_{den}` for velocity `V` geometric length `L`, heavier fluid density `rho1`, and lighter fluid density `rho2`. If desired, gravity can be specified as well. Depending on the application, this dimensionless number may be defined with the heavy phase or the light phase density in the numerator of the square root. For some applications, both need to be calculated. The default is to calculate with the heavy liquid ensity on top; set `heavy` to False to reverse this. .. math:: Fr = \frac{V}{\sqrt{gL}} \sqrt{\frac{\rho_\text{(1 or 2)}} {\rho_1 - \rho_2}} Parameters ---------- V : float Velocity of the specified phase, [m/s] L : float Characteristic length, no typical definition [m] rho1 : float Density of the heavier phase, [kg/m^3] rho2 : float Density of the lighter phase, [kg/m^3] heavy : bool, optional Whether or not the density used in the numerator is the heavy phase or the light phase, [-] g : float, optional Acceleration due to gravity, [m/s^2] Returns ------- Fr_den : float Densimetric Froude number, [-] Notes ----- Many alternate definitions including density ratios have been used. .. math:: Fr = \frac{\text{Inertial Force}}{\text{Gravity Force}} Where the gravity force is reduced by the relative densities of one fluid in another. Note that an Exception will be raised if rho1 > rho2, as the square root becomes negative. Examples -------- >>> Froude_densimetric(1.83, L=2., rho1=800, rho2=1.2, g=9.81) 0.4134543386272418 >>> Froude_densimetric(1.83, L=2., rho1=800, rho2=1.2, g=9.81, heavy=False) 0.016013017679205096 References ---------- .. [1] Hall, A, G Stobie, and R Steven. "Further Evaluation of the Performance of Horizontally Installed Orifice Plate and Cone Differential Pressure Meters with Wet Gas Flows." In International SouthEast Asia Hydrocarbon Flow Measurement Workshop, KualaLumpur, Malaysia, 2008. ''' if heavy: rho3 = rho1 else: rho3 = rho2 return V/(sqrt(g*L))*sqrt(rho3/(rho1 - rho2)) def Strouhal(f, L, V): r'''Calculates Strouhal number `St` for a characteristic frequency `f`, characteristic length `L`, and velocity `V`. .. math:: St = \frac{fL}{V} Parameters ---------- f : float Characteristic frequency, usually that of vortex shedding, [Hz] L : float Characteristic length, [m] V : float Velocity of the fluid, [m/s] Returns ------- St : float Strouhal number, [-] Notes ----- Sometimes abbreviated to S or Sr. .. math:: St = \frac{\text{Characteristic flow time}} {\text{Period of oscillation}} Examples -------- >>> Strouhal(8, 2., 4.) 4.0 References ---------- .. [1] Green, Don, and Robert Perry. Perry's Chemical Engineers' Handbook, Eighth Edition. McGraw-Hill Professional, 2007. .. [2] Cengel, Yunus, and John Cimbala. Fluid Mechanics: Fundamentals and Applications. Boston: McGraw Hill Higher Education, 2006. ''' return f*L/V def Nusselt(h, L, k): r'''Calculates Nusselt number `Nu` for a heat transfer coefficient `h`, characteristic length `L`, and thermal conductivity `k`. .. math:: Nu = \frac{hL}{k} Parameters ---------- h : float Heat transfer coefficient, [W/m^2/K] L : float Characteristic length, no typical definition [m] k : float Thermal conductivity of fluid [W/m/K] Returns ------- Nu : float Nusselt number, [-] Notes ----- Do not confuse k, the thermal conductivity of the fluid, with that of within a solid object associated with! .. math:: Nu = \frac{\text{Convective heat transfer}} {\text{Conductive heat transfer}} Examples -------- >>> Nusselt(1000., 1.2, 300.) 4.0 >>> Nusselt(10000., .01, 4000.) 0.025 References ---------- .. [1] Green, Don, and Robert Perry. Perry's Chemical Engineers' Handbook, Eighth Edition. McGraw-Hill Professional, 2007. .. [2] Bergman, Theodore L., Adrienne S. Lavine, Frank P. Incropera, and David P. DeWitt. Introduction to Heat Transfer. 6E. Hoboken, NJ: Wiley, 2011. ''' return h*L/k def Sherwood(K, L, D): r'''Calculates Sherwood number `Sh` for a mass transfer coefficient `K`, characteristic length `L`, and diffusivity `D`. .. math:: Sh = \frac{KL}{D} Parameters ---------- K : float Mass transfer coefficient, [m/s] L : float Characteristic length, no typical definition [m] D : float Diffusivity of a species [m/s^2] Returns ------- Sh : float Sherwood number, [-] Notes ----- .. math:: Sh = \frac{\text{Mass transfer by convection}} {\text{Mass transfer by diffusion}} = \frac{K}{D/L} Examples -------- >>> Sherwood(1000., 1.2, 300.) 4.0 References ---------- .. [1] Green, Don, and Robert Perry. Perry's Chemical Engineers' Handbook, Eighth Edition. McGraw-Hill Professional, 2007. ''' return K*L/D def Biot(h, L, k): r'''Calculates Biot number `Br` for heat transfer coefficient `h`, geometric length `L`, and thermal conductivity `k`. .. math:: Bi=\frac{hL}{k} Parameters ---------- h : float Heat transfer coefficient, [W/m^2/K] L : float Characteristic length, no typical definition [m] k : float Thermal conductivity, within the object [W/m/K] Returns ------- Bi : float Biot number, [-] Notes ----- Do not confuse k, the thermal conductivity within the object, with that of the medium h is calculated with! .. math:: Bi = \frac{\text{Surface thermal resistance}} {\text{Internal thermal resistance}} Examples -------- >>> Biot(1000., 1.2, 300.) 4.0 >>> Biot(10000., .01, 4000.) 0.025 References ---------- .. [1] Green, Don, and Robert Perry. Perry's Chemical Engineers' Handbook, Eighth Edition. McGraw-Hill Professional, 2007. .. [2] Cengel, Yunus, and John Cimbala. Fluid Mechanics: Fundamentals and Applications. Boston: McGraw Hill Higher Education, 2006. ''' return h*L/k def Stanton(h, V, rho, Cp): r'''Calculates Stanton number or `St` for a specified heat transfer coefficient `h`, velocity `V`, density `rho`, and heat capacity `Cp` [1]_ [2]_. .. math:: St = \frac{h}{V\rho Cp} Parameters ---------- h : float Heat transfer coefficient, [W/m^2/K] V : float Velocity, [m/s] rho : float Density, [kg/m^3] Cp : float Heat capacity, [J/kg/K] Returns ------- St : float Stanton number [] Notes ----- .. math:: St = \frac{\text{Heat transfer coefficient}}{\text{Thermal capacity}} Examples -------- >>> Stanton(5000, 5, 800, 2000.) 0.000625 References ---------- .. [1] Green, Don, and Robert Perry. Perry's Chemical Engineers' Handbook, Eighth Edition. McGraw-Hill Professional, 2007. .. [2] Bergman, Theodore L., Adrienne S. Lavine, Frank P. Incropera, and David P. DeWitt. Introduction to Heat Transfer. 6E. Hoboken, NJ: Wiley, 2011. ''' return h/(V*rho*Cp) def Euler(dP, rho, V): r'''Calculates Euler number or `Eu` for a fluid of velocity `V` and density `rho` experiencing a pressure drop `dP`. .. math:: Eu = \frac{\Delta P}{\rho V^2} Parameters ---------- dP : float Pressure drop experience by the fluid, [Pa] rho : float Density of the fluid, [kg/m^3] V : float Velocity of fluid, [m/s] Returns ------- Eu : float Euler number [] Notes ----- Used in pressure drop calculations. Rarely, this number is divided by two. Named after Leonhard Euler applied calculus to fluid dynamics. .. math:: Eu = \frac{\text{Pressure drop}}{2\cdot \text{velocity head}} Examples -------- >>> Euler(1E5, 1000., 4) 6.25 References ---------- .. [1] Green, Don, and Robert Perry. Perry's Chemical Engineers' Handbook, Eighth Edition. McGraw-Hill Professional, 2007. .. [2] Cengel, Yunus, and John Cimbala. Fluid Mechanics: Fundamentals and Applications. Boston: McGraw Hill Higher Education, 2006. ''' return dP/(rho*V*V) def Cavitation(P, Psat, rho, V): r'''Calculates Cavitation number or `Ca` for a fluid of velocity `V` with a pressure `P`, vapor pressure `Psat`, and density `rho`. .. math:: Ca = \sigma_c = \sigma = \frac{P-P_{sat}}{\frac{1}{2}\rho V^2} Parameters ---------- P : float Internal pressure of the fluid, [Pa] Psat : float Vapor pressure of the fluid, [Pa] rho : float Density of the fluid, [kg/m^3] V : float Velocity of fluid, [m/s] Returns ------- Ca : float Cavitation number [] Notes ----- Used in determining if a flow through a restriction will cavitate. Sometimes, the multiplication by 2 will be omitted; .. math:: Ca = \frac{\text{Pressure - Vapor pressure}} {\text{Inertial pressure}} Examples -------- >>> Cavitation(2E5, 1E4, 1000, 10) 3.8 References ---------- .. [1] Green, Don, and Robert Perry. Perry's Chemical Engineers' Handbook, Eighth Edition. McGraw-Hill Professional, 2007. .. [2] Cengel, Yunus, and John Cimbala. Fluid Mechanics: Fundamentals and Applications. Boston: McGraw Hill Higher Education, 2006. ''' return (P-Psat)/(0.5*rho*V*V) def Eckert(V, Cp, dT): r'''Calculates Eckert number or `Ec` for a fluid of velocity `V` with a heat capacity `Cp`, between two temperature given as `dT`. .. math:: Ec = \frac{V^2}{C_p \Delta T} Parameters ---------- V : float Velocity of fluid, [m/s] Cp : float Heat capacity of the fluid, [J/kg/K] dT : float Temperature difference, [K] Returns ------- Ec : float Eckert number [] Notes ----- Used in certain heat transfer calculations. Fairly rare. .. math:: Ec = \frac{\text{Kinetic energy} }{ \text{Enthalpy difference}} Examples -------- >>> Eckert(10, 2000., 25.) 0.002 References ---------- .. [1] Goldstein, Richard J. ECKERT NUMBER. Thermopedia. Hemisphere, 2011. 10.1615/AtoZ.e.eckert_number ''' return V*V/(Cp*dT) def Jakob(Cp, Hvap, Te): r'''Calculates Jakob number or `Ja` for a boiling fluid with sensible heat capacity `Cp`, enthalpy of vaporization `Hvap`, and boiling at `Te` degrees above its saturation boiling point. .. math:: Ja = \frac{C_{P}\Delta T_e}{\Delta H_{vap}} Parameters ---------- Cp : float Heat capacity of the fluid, [J/kg/K] Hvap : float Enthalpy of vaporization of the fluid at its saturation temperature [J/kg] Te : float Temperature difference above the fluid's saturation boiling temperature, [K] Returns ------- Ja : float Jakob number [] Notes ----- Used in boiling heat transfer analysis. Fairly rare. .. math:: Ja = \frac{\Delta \text{Sensible heat}}{\Delta \text{Latent heat}} Examples -------- >>> Jakob(4000., 2E6, 10.) 0.02 References ---------- .. [1] Bergman, Theodore L., Adrienne S. Lavine, Frank P. Incropera, and David P. DeWitt. Introduction to Heat Transfer. 6E. Hoboken, NJ: Wiley, 2011. .. [2] Cengel, Yunus, and John Cimbala. Fluid Mechanics: Fundamentals and Applications. Boston: McGraw Hill Higher Education, 2006. ''' return Cp*Te/Hvap def Power_number(P, L, N, rho): r'''Calculates power number, `Po`, for an agitator applying a specified power `P` with a characteristic length `L`, rotational speed `N`, to a fluid with a specified density `rho`. .. math:: Po = \frac{P}{\rho N^3 D^5} Parameters ---------- P : float Power applied, [W] L : float Characteristic length, typically agitator diameter [m] N : float Speed [revolutions/second] rho : float Density of fluid, [kg/m^3] Returns ------- Po : float Power number [] Notes ----- Used in mixing calculations. .. math:: Po = \frac{\text{Power}}{\text{Rotational inertia}} Examples -------- >>> Power_number(P=180, L=0.01, N=2.5, rho=800.) 144000000.0 References ---------- .. [1] Green, Don, and Robert Perry. Perry's Chemical Engineers' Handbook, Eighth Edition. McGraw-Hill Professional, 2007. .. [2] Cengel, Yunus, and John Cimbala. Fluid Mechanics: Fundamentals and Applications. Boston: McGraw Hill Higher Education, 2006. ''' return P/(rho*N*N*N*L**5) def Drag(F, A, V, rho): r'''Calculates drag coefficient `Cd` for a given drag force `F`, projected area `A`, characteristic velocity `V`, and density `rho`. .. math:: C_D = \frac{F_d}{A\cdot\frac{1}{2}\rho V^2} Parameters ---------- F : float Drag force, [N] A : float Projected area, [m^2] V : float Characteristic velocity, [m/s] rho : float Density, [kg/m^3] Returns ------- Cd : float Drag coefficient, [-] Notes ----- Used in flow around objects, or objects flowing within a fluid. .. math:: C_D = \frac{\text{Drag forces}}{\text{Projected area}\cdot \text{Velocity head}} Examples -------- >>> Drag(1000, 0.0001, 5, 2000) 400.0 References ---------- .. [1] Green, Don, and Robert Perry. Perry's Chemical Engineers' Handbook, Eighth Edition. McGraw-Hill Professional, 2007. .. [2] Cengel, Yunus, and John Cimbala. Fluid Mechanics: Fundamentals and Applications. Boston: McGraw Hill Higher Education, 2006. ''' return F/(0.5*A*rho*V*V) def Stokes_number(V, Dp, D, rhop, mu): r'''Calculates Stokes Number for a given characteristic velocity `V`, particle diameter `Dp`, characteristic diameter `D`, particle density `rhop`, and fluid viscosity `mu`. .. math:: \text{Stk} = \frac{\rho_p V D_p^2}{18\mu_f D} Parameters ---------- V : float Characteristic velocity (often superficial), [m/s] Dp : float Particle diameter, [m] D : float Characteristic diameter (ex demister wire diameter or cyclone diameter), [m] rhop : float Particle density, [kg/m^3] mu : float Fluid viscosity, [Pa*s] Returns ------- Stk : float Stokes numer, [-] Notes ----- Used in droplet impaction or collection studies. Examples -------- >>> Stokes_number(V=0.9, Dp=1E-5, D=1E-3, rhop=1000, mu=1E-5) 0.5 References ---------- .. [1] Rhodes, Martin J. Introduction to Particle Technology. Wiley, 2013. .. [2] Al-Dughaither, Abdullah S., Ahmed A. Ibrahim, and Waheed A. Al-Masry. "Investigating Droplet Separation Efficiency in Wire-Mesh Mist Eliminators in Bubble Column." Journal of Saudi Chemical Society 14, no. 4 (October 1, 2010): 331-39. https://doi.org/10.1016/j.jscs.2010.04.001. ''' return rhop*V*(Dp*Dp)/(18.0*mu*D) def Capillary(V, mu, sigma): r'''Calculates Capillary number `Ca` for a characteristic velocity `V`, viscosity `mu`, and surface tension `sigma`. .. math:: Ca = \frac{V \mu}{\sigma} Parameters ---------- V : float Characteristic velocity, [m/s] mu : float Dynamic viscosity, [Pa*s] sigma : float Surface tension, [N/m] Returns ------- Ca : float Capillary number, [-] Notes ----- Used in porous media calculations and film flow calculations. Surface tension may gas-liquid, or liquid-liquid. .. math:: Ca = \frac{\text{Viscous forces}} {\text{Surface forces}} Examples -------- >>> Capillary(1.2, 0.01, .1) 0.12 References ---------- .. [1] Green, Don, and Robert Perry. Perry's Chemical Engineers' Handbook, Eighth Edition. McGraw-Hill Professional, 2007. .. [2] Kundu, Pijush K., Ira M. Cohen, and David R. Dowling. Fluid Mechanics. Academic Press, 2012. ''' return V*mu/sigma def Archimedes(L, rhof, rhop, mu, g=g): r'''Calculates Archimedes number, `Ar`, for a fluid and particle with the given densities, characteristic length, viscosity, and gravity (usually diameter of particle). .. math:: Ar = \frac{L^3 \rho_f(\rho_p-\rho_f)g}{\mu^2} Parameters ---------- L : float Characteristic length, typically particle diameter [m] rhof : float Density of fluid, [kg/m^3] rhop : float Density of particle, [kg/m^3] mu : float Viscosity of fluid, [N/m] g : float, optional Acceleration due to gravity, [m/s^2] Returns ------- Ar : float Archimedes number [] Notes ----- Used in fluid-particle interaction calculations. .. math:: Ar = \frac{\text{Gravitational force}}{\text{Viscous force}} Examples -------- >>> Archimedes(0.002, 2., 3000, 1E-3) 470.4053872 References ---------- .. [1] Green, Don, and Robert Perry. Perry's Chemical Engineers' Handbook, Eighth Edition. McGraw-Hill Professional, 2007. .. [2] Cengel, Yunus, and John Cimbala. Fluid Mechanics: Fundamentals and Applications. Boston: McGraw Hill Higher Education, 2006. ''' return L*L*L*rhof*(rhop-rhof)*g/(mu*mu) def Ohnesorge(L, rho, mu, sigma): r'''Calculates Ohnesorge number, `Oh`, for a fluid with the given characteristic length, density, viscosity, and surface tension. .. math:: \text{Oh} = \frac{\mu}{\sqrt{\rho \sigma L }} Parameters ---------- L : float Characteristic length [m] rho : float Density of fluid, [kg/m^3] mu : float Viscosity of fluid, [Pa*s] sigma : float Surface tension, [N/m] Returns ------- Oh : float Ohnesorge number [] Notes ----- Often used in spray calculations. Sometimes given the symbol Z. .. math:: Oh = \frac{\sqrt{\text{We}}}{\text{Re}}= \frac{\text{viscous forces}} {\sqrt{\text{Inertia}\cdot\text{Surface tension}} } Examples -------- >>> Ohnesorge(1E-4, 1000., 1E-3, 1E-1) 0.01 References ---------- .. [1] Green, Don, and Robert Perry. Perry's Chemical Engineers' Handbook, Eighth Edition. McGraw-Hill Professional, 2007. ''' return mu/sqrt(L*rho*sigma) def Suratman(L, rho, mu, sigma): r'''Calculates Suratman number, `Su`, for a fluid with the given characteristic length, density, viscosity, and surface tension. .. math:: \text{Su} = \frac{\rho\sigma L}{\mu^2} Parameters ---------- L : float Characteristic length [m] rho : float Density of fluid, [kg/m^3] mu : float Viscosity of fluid, [Pa*s] sigma : float Surface tension, [N/m] Returns ------- Su : float Suratman number [] Notes ----- Also known as Laplace number. Used in two-phase flow, especially the bubbly-slug regime. No confusion regarding the definition of this group has been observed. .. math:: \text{Su} = \frac{\text{Re}^2}{\text{We}} =\frac{\text{Inertia}\cdot \text{Surface tension} }{\text{(viscous forces)}^2} The oldest reference to this group found by the author is in 1963, from [2]_. Examples -------- >>> Suratman(1E-4, 1000., 1E-3, 1E-1) 10000.0 References ---------- .. [1] Sen, Nilava. "Suratman Number in Bubble-to-Slug Flow Pattern Transition under Microgravity." Acta Astronautica 65, no. 3-4 (August 2009): 423-28. doi:10.1016/j.actaastro.2009.02.013. .. [2] Catchpole, John P., and George. Fulford. "DIMENSIONLESS GROUPS." Industrial & Engineering Chemistry 58, no. 3 (March 1, 1966): 46-60. doi:10.1021/ie50675a012. ''' return rho*sigma*L/(mu*mu) def Hagen(Re, fd): r'''Calculates Hagen number, `Hg`, for a fluid with the given Reynolds number and friction factor. .. math:: \text{Hg} = \frac{f_d}{2} Re^2 = \frac{1}{\rho} \frac{\Delta P}{\Delta z} \frac{D^3}{\nu^2} = \frac{\rho\Delta P D^3}{\mu^2 \Delta z} Parameters ---------- Re : float Reynolds number [-] fd : float, optional Darcy friction factor, [-] Returns ------- Hg : float Hagen number, [-] Notes ----- Introduced in [1]_; further use of it is mostly of the correlations introduced in [1]_. Notable for use use in correlations, because it does not have any dependence on velocity. This expression is useful when designing backwards with a pressure drop spec already known. Examples -------- Example from [3]_: >>> Hagen(Re=2610, fd=1.935235) 6591507.17175 References ---------- .. [1] Martin, Holger. "The Generalized Lévêque Equation and Its Practical Use for the Prediction of Heat and Mass Transfer Rates from Pressure Drop." Chemical Engineering Science, Jean-Claude Charpentier Festschrift Issue, 57, no. 16 (August 1, 2002): 3217-23. https://doi.org/10.1016/S0009-2509(02)00194-X. .. [2] Shah, Ramesh K., and Dusan P. Sekulic. Fundamentals of Heat Exchanger Design. 1st edition. Hoboken, NJ: Wiley, 2002. .. [3] Gesellschaft, V. D. I., ed. VDI Heat Atlas. 2nd edition. Berlin; New York:: Springer, 2010. ''' return 0.5*fd*Re*Re def Bejan_L(dP, L, mu, alpha): r'''Calculates Bejan number of a length or `Be_L` for a fluid with the given parameters flowing over a characteristic length `L` and experiencing a pressure drop `dP`. .. math:: Be_L = \frac{\Delta P L^2}{\mu \alpha} Parameters ---------- dP : float Pressure drop, [Pa] L : float Characteristic length, [m] mu : float, optional Dynamic viscosity, [Pa*s] alpha : float Thermal diffusivity, [m^2/s] Returns ------- Be_L : float Bejan number with respect to length [] Notes ----- Termed a dimensionless number by someone in 1988. Examples -------- >>> Bejan_L(1E4, 1, 1E-3, 1E-6) 10000000000000.0 References ---------- .. [1] Awad, M. M. "The Science and the History of the Two Bejan Numbers." International Journal of Heat and Mass Transfer 94 (March 2016): 101-3. doi:10.1016/j.ijheatmasstransfer.2015.11.073. .. [2] Bejan, Adrian. Convection Heat Transfer. 4E. Hoboken, New Jersey: Wiley, 2013. ''' return dP*L*L/(alpha*mu) def Bejan_p(dP, K, mu, alpha): r'''Calculates Bejan number of a permeability or `Be_p` for a fluid with the given parameters and a permeability `K` experiencing a pressure drop `dP`. .. math:: Be_p = \frac{\Delta P K}{\mu \alpha} Parameters ---------- dP : float Pressure drop, [Pa] K : float Permeability, [m^2] mu : float, optional Dynamic viscosity, [Pa*s] alpha : float Thermal diffusivity, [m^2/s] Returns ------- Be_p : float Bejan number with respect to pore characteristics [] Notes ----- Termed a dimensionless number by someone in 1988. Examples -------- >>> Bejan_p(1E4, 1, 1E-3, 1E-6) 10000000000000.0 References ---------- .. [1] Awad, M. M. "The Science and the History of the Two Bejan Numbers." International Journal of Heat and Mass Transfer 94 (March 2016): 101-3. doi:10.1016/j.ijheatmasstransfer.2015.11.073. .. [2] Bejan, Adrian. Convection Heat Transfer. 4E. Hoboken, New Jersey: Wiley, 2013. ''' return dP*K/(alpha*mu) def Boiling(G, q, Hvap): r'''Calculates Boiling number or `Bg` using heat flux, two-phase mass flux, and heat of vaporization of the fluid flowing. Used in two-phase heat transfer calculations. .. math:: \text{Bg} = \frac{q}{G_{tp} \Delta H_{vap}} Parameters ---------- G : float Two-phase mass flux in a channel (combined liquid and vapor) [kg/m^2/s] q : float Heat flux [W/m^2] Hvap : float Heat of vaporization of the fluid [J/kg] Returns ------- Bg : float Boiling number [-] Notes ----- Most often uses the symbol `Bo` instead of `Bg`, but this conflicts with Bond number. .. math:: \text{Bg} = \frac{\text{mass liquid evaporated / area heat transfer surface}}{\text{mass flow rate fluid / flow cross sectional area}} First defined in [4]_, though not named. Examples -------- >>> Boiling(300, 3000, 800000) 1.25e-05 References ---------- .. [1] Winterton, Richard H.S. BOILING NUMBER. Thermopedia. Hemisphere, 2011. 10.1615/AtoZ.b.boiling_number .. [2] Collier, John G., and John R. Thome. Convective Boiling and Condensation. 3rd edition. Clarendon Press, 1996. .. [3] Stephan, Karl. Heat Transfer in Condensation and Boiling. Translated by C. V. Green.. 1992 edition. Berlin; New York: Springer, 2013. .. [4] W. F. Davidson, P. H. Hardie, C. G. R. Humphreys, A. A. Markson, A. R. Mumford and T. Ravese "Studies of heat transmission through boiler tubing at pressures from 500 to 3300 pounds" Trans. ASME, Vol. 65, 9, February 1943, pp. 553-591. ''' return q/(G*Hvap) def Dean(Re, Di, D): r'''Calculates Dean number, `De`, for a fluid with the Reynolds number `Re`, inner diameter `Di`, and a secondary diameter `D`. `D` may be the diameter of curvature, the diameter of a spiral, or some other dimension. .. math:: \text{De} = \sqrt{\frac{D_i}{D}} \text{Re} = \sqrt{\frac{D_i}{D}} \frac{\rho v D}{\mu} Parameters ---------- Re : float Reynolds number [] Di : float Inner diameter [] D : float Diameter of curvature or outer spiral or other dimension [] Returns ------- De : float Dean number [-] Notes ----- Used in flow in curved geometry. .. math:: \text{De} = \frac{\sqrt{\text{centripetal forces}\cdot \text{inertial forces}}}{\text{viscous forces}} Examples -------- >>> Dean(10000, 0.1, 0.4) 5000.0 References ---------- .. [1] Catchpole, John P., and George. Fulford. "DIMENSIONLESS GROUPS." Industrial & Engineering Chemistry 58, no. 3 (March 1, 1966): 46-60. doi:10.1021/ie50675a012. ''' return sqrt(Di/D)*Re def relative_roughness(D, roughness=1.52e-06): r'''Calculates relative roughness `eD` using a diameter and the roughness of the material of the wall. Default roughness is that of steel. .. math:: eD=\frac{\epsilon}{D} Parameters ---------- D : float Diameter of pipe, [m] roughness : float, optional Roughness of pipe wall [m] Returns ------- eD : float Relative Roughness, [-] Examples -------- >>> relative_roughness(0.5, 1E-4) 0.0002 References ---------- .. [1] Green, Don, and Robert Perry. Perry's Chemical Engineers' Handbook, Eighth Edition. McGraw-Hill Professional, 2007. .. [2] Cengel, Yunus, and John Cimbala. Fluid Mechanics: Fundamentals and Applications. Boston: McGraw Hill Higher Education, 2006. ''' return roughness/D ### Misc utilities def nu_mu_converter(rho, mu=None, nu=None): r'''Calculates either kinematic or dynamic viscosity, depending on inputs. Used when one type of viscosity is known as well as density, to obtain the other type. Raises an error if both types of viscosity or neither type of viscosity is provided. .. math:: \nu = \frac{\mu}{\rho} .. math:: \mu = \nu\rho Parameters ---------- rho : float Density, [kg/m^3] mu : float, optional Dynamic viscosity, [Pa*s] nu : float, optional Kinematic viscosity, [m^2/s] Returns ------- mu or nu : float Dynamic viscosity, Pa*s or Kinematic viscosity, m^2/s Examples -------- >>> nu_mu_converter(998., nu=1.0E-6) 0.000998 References ---------- .. [1] Cengel, Yunus, and John Cimbala. Fluid Mechanics: Fundamentals and Applications. Boston: McGraw Hill Higher Education, 2006. ''' if (nu is not None and mu is not None) or rho is None or (nu is None and mu is None): raise ValueError('Inputs must be rho and one of mu and nu.') if mu is not None: return mu/rho else: return nu*rho def gravity(latitude, H): r'''Calculates local acceleration due to gravity `g` according to [1]_. Uses latitude and height to calculate `g`. .. math:: g = 9.780356(1 + 0.0052885\sin^2\phi - 0.0000059^22\phi) - 3.086\times 10^{-6} H Parameters ---------- latitude : float Degrees, [degrees] H : float Height above earth's surface [m] Returns ------- g : float Acceleration due to gravity, [m/s^2] Notes ----- Better models, such as EGM2008 exist. Examples -------- >>> gravity(55, 1E4) 9.784151976863571 References ---------- .. [1] Haynes, W.M., Thomas J. Bruno, and David R. Lide. CRC Handbook of Chemistry and Physics. [Boca Raton, FL]: CRC press, 2014. ''' lat = latitude*pi/180 g = 9.780356*(1+0.0052885*sin(lat)**2 -0.0000059*sin(2*lat)**2)-3.086E-6*H return g ### Friction loss conversion functions def K_from_f(fd, L, D): r'''Calculates loss coefficient, K, for a given section of pipe at a specified friction factor. .. math:: K = f_dL/D Parameters ---------- fd : float friction factor of pipe, [] L : float Length of pipe, [m] D : float Inner diameter of pipe, [m] Returns ------- K : float Loss coefficient, [] Notes ----- For fittings with a specified L/D ratio, use D = 1 and set L to specified L/D ratio. Examples -------- >>> K_from_f(fd=0.018, L=100., D=.3) 6.0 ''' return fd*L/D def f_from_K(K, L, D): r'''Calculates friction factor, `fd`, from a loss coefficient, K, for a given section of pipe. .. math:: f_d = \frac{K D}{L} Parameters ---------- K : float Loss coefficient, [] L : float Length of pipe, [m] D : float Inner diameter of pipe, [m] Returns ------- fd : float Darcy friction factor of pipe, [-] Notes ----- This can be useful to blend fittings at specific locations in a pipe into a pressure drop which is evenly distributed along a pipe. Examples -------- >>> f_from_K(K=0.6, L=100., D=.3) 0.0018 ''' return K*D/L def K_from_L_equiv(L_D, fd=0.015): r'''Calculates loss coefficient, for a given equivalent length (L/D). .. math:: K = f_d \frac{L}{D} Parameters ---------- L_D : float Length over diameter, [] fd : float, optional Darcy friction factor, [-] Returns ------- K : float Loss coefficient, [] Notes ----- Almost identical to `K_from_f`, but with a default friction factor for fully turbulent flow in steel pipes. Examples -------- >>> K_from_L_equiv(240) 3.5999999999999996 ''' return fd*L_D def L_equiv_from_K(K, fd=0.015): r'''Calculates equivalent length of pipe (L/D), for a given loss coefficient. .. math:: \frac{L}{D} = \frac{K}{f_d} Parameters ---------- K : float Loss coefficient, [-] fd : float, optional Darcy friction factor, [-] Returns ------- L_D : float Length over diameter, [-] Notes ----- Assumes a default friction factor for fully turbulent flow in steel pipes. Examples -------- >>> L_equiv_from_K(3.6) 240.00000000000003 ''' return K/fd def L_from_K(K, D, fd=0.015): r'''Calculates the length of straight pipe at a specified friction factor required to produce a given loss coefficient `K`. .. math:: L = \frac{K D}{f_d} Parameters ---------- K : float Loss coefficient, [] D : float Inner diameter of pipe, [m] fd : float friction factor of pipe, [] Returns ------- L : float Length of pipe, [m] Examples -------- >>> L_from_K(K=6, D=.3, fd=0.018) 100.0 ''' return K*D/fd def dP_from_K(K, rho, V): r'''Calculates pressure drop, for a given loss coefficient, at a specified density and velocity. .. math:: dP = 0.5K\rho V^2 Parameters ---------- K : float Loss coefficient, [] rho : float Density of fluid, [kg/m^3] V : float Velocity of fluid in pipe, [m/s] Returns ------- dP : float Pressure drop, [Pa] Notes ----- Loss coefficient `K` is usually the sum of several factors, including the friction factor. Examples -------- >>> dP_from_K(K=10, rho=1000, V=3) 45000.0 ''' return K*0.5*rho*V*V def head_from_K(K, V, g=g): r'''Calculates head loss, for a given loss coefficient, at a specified velocity. .. math:: \text{head} = \frac{K V^2}{2g} Parameters ---------- K : float Loss coefficient, [] V : float Velocity of fluid in pipe, [m/s] g : float, optional Acceleration due to gravity, [m/s^2] Returns ------- head : float Head loss, [m] Notes ----- Loss coefficient `K` is usually the sum of several factors, including the friction factor. Examples -------- >>> head_from_K(K=10, V=1.5) 1.1471807396001694 ''' return K*0.5*V*V/g def head_from_P(P, rho, g=g): r'''Calculates head for a fluid of specified density at specified pressure. .. math:: \text{head} = {P\over{\rho g}} Parameters ---------- P : float Pressure fluid in pipe, [Pa] rho : float Density of fluid, [kg/m^3] g : float, optional Acceleration due to gravity, [m/s^2] Returns ------- head : float Head, [m] Notes ----- By definition. Head varies with location, inversely proportional to the increase in gravitational constant. Examples -------- >>> head_from_P(P=98066.5, rho=1000) 10.000000000000002 ''' return P/rho/g def P_from_head(head, rho, g=g): r'''Calculates head for a fluid of specified density at specified pressure. .. math:: P = \rho g \cdot \text{head} Parameters ---------- head : float Head, [m] rho : float Density of fluid, [kg/m^3] g : float, optional Acceleration due to gravity, [m/s^2] Returns ------- P : float Pressure fluid in pipe, [Pa] Notes ----- Examples -------- >>> P_from_head(head=5., rho=800.) 39226.6 ''' return head*rho*g ### Synonyms alpha = thermal_diffusivity # synonym for thermal diffusivity Pr = Prandtl # Synonym # temperature in kelvin zero_Celsius = 273.15 degree_Fahrenheit = 1.0/1.8 # only for differences def C2K(C): """Convert Celsius to Kelvin. Parameters ---------- C : float Celsius temperature to be converted, [degC] Returns ------- K : float Equivalent Kelvin temperature, [K] Notes ----- Computes ``K = C + zero_Celsius`` where `zero_Celsius` = 273.15, i.e., (the absolute value of) temperature "absolute zero" as measured in Celsius. Examples -------- >>> C2K(-40) 233.14999999999998 """ return C + zero_Celsius def K2C(K): """Convert Kelvin to Celsius. Parameters ---------- K : float Kelvin temperature to be converted. Returns ------- C : float Equivalent Celsius temperature. Notes ----- Computes ``C = K - zero_Celsius`` where `zero_Celsius` = 273.15, i.e., (the absolute value of) temperature "absolute zero" as measured in Celsius. Examples -------- >>> K2C(233.15) -39.99999999999997 """ return K - zero_Celsius def F2C(F): """Convert Fahrenheit to Celsius. Parameters ---------- F : float Fahrenheit temperature to be converted. Returns ------- C : float Equivalent Celsius temperature. Notes ----- Computes ``C = (F - 32) / 1.8``. Examples -------- >>> F2C(-40.0) -40.0 """ return (F - 32.0) / 1.8 def C2F(C): """Convert Celsius to Fahrenheit. Parameters ---------- C : float Celsius temperature to be converted. Returns ------- F : float Equivalent Fahrenheit temperature. Notes ----- Computes ``F = 1.8 * C + 32``. Examples -------- >>> C2F(-40.0) -40.0 """ return 1.8*C + 32.0 def F2K(F): """Convert Fahrenheit to Kelvin. Parameters ---------- F : float Fahrenheit temperature to be converted. Returns ------- K : float Equivalent Kelvin temperature. Notes ----- Computes ``K = (F - 32)/1.8 + zero_Celsius`` where `zero_Celsius` = 273.15, i.e., (the absolute value of) temperature "absolute zero" as measured in Celsius. Examples -------- >>> F2K(-40) 233.14999999999998 """ return (F - 32.0)/1.8 + zero_Celsius def K2F(K): """Convert Kelvin to Fahrenheit. Parameters ---------- K : float Kelvin temperature to be converted. Returns ------- F : float Equivalent Fahrenheit temperature. Notes ----- Computes ``F = 1.8 * (K - zero_Celsius) + 32`` where `zero_Celsius` = 273.15, i.e., (the absolute value of) temperature "absolute zero" as measured in Celsius. Examples -------- >>> K2F(233.15) -39.99999999999996 """ return 1.8*(K - zero_Celsius) + 32.0 def C2R(C): """Convert Celsius to Rankine. Parameters ---------- C : float Celsius temperature to be converted. Returns ------- Ra : float Equivalent Rankine temperature. Notes ----- Computes ``Ra = 1.8 * (C + zero_Celsius)`` where `zero_Celsius` = 273.15, i.e., (the absolute value of) temperature "absolute zero" as measured in Celsius. Examples -------- >>> C2R(-40) 419.66999999999996 """ return 1.8 * (C + zero_Celsius) def K2R(K): """Convert Kelvin to Rankine. Parameters ---------- K : float Kelvin temperature to be converted. Returns ------- Ra : float Equivalent Rankine temperature. Notes ----- Computes ``Ra = 1.8 * K``. Examples -------- >>> K2R(273.15) 491.66999999999996 """ return 1.8 * K def F2R(F): """Convert Fahrenheit to Rankine. Parameters ---------- F : float Fahrenheit temperature to be converted. Returns ------- Ra : float Equivalent Rankine temperature. Notes ----- Computes ``Ra = F - 32 + 1.8 * zero_Celsius`` where `zero_Celsius` = 273.15, i.e., (the absolute value of) temperature "absolute zero" as measured in Celsius. Examples -------- >>> F2R(100) 559.67 """ return F - 32.0 + 1.8 * zero_Celsius def R2C(Ra): """Convert Rankine to Celsius. Parameters ---------- Ra : float Rankine temperature to be converted. Returns ------- C : float Equivalent Celsius temperature. Notes ----- Computes ``C = Ra / 1.8 - zero_Celsius`` where `zero_Celsius` = 273.15, i.e., (the absolute value of) temperature "absolute zero" as measured in Celsius. Examples -------- >>> R2C(459.67) -17.777777777777743 """ return Ra / 1.8 - zero_Celsius def R2K(Ra): """Convert Rankine to Kelvin. Parameters ---------- Ra : float Rankine temperature to be converted. Returns ------- K : float Equivalent Kelvin temperature. Notes ----- Computes ``K = Ra / 1.8``. Examples -------- >>> R2K(491.67) 273.15 """ return Ra / 1.8 def R2F(Ra): """Convert Rankine to Fahrenheit. Parameters ---------- Ra : float Rankine temperature to be converted. Returns ------- F : float Equivalent Fahrenheit temperature. Notes ----- Computes ``F = Ra + 32 - 1.8 * zero_Celsius`` where `zero_Celsius` = 273.15, i.e., (the absolute value of) temperature "absolute zero" as measured in Celsius. Examples -------- >>> R2F(491.67) 32.00000000000006 """ return Ra - 1.8*zero_Celsius + 32.0 def Engauge_2d_parser(lines, flat=False): """Not exposed function to read a 2D file generated by engauge-digitizer; for curve fitting.""" z_values = [] x_lists = [] y_lists = [] working_xs = [] working_ys = [] new_curve = True for line in lines: if line.strip() == '': new_curve = True elif new_curve: z = float(line.split(',')[1]) z_values.append(z) if working_xs and working_ys: x_lists.append(working_xs) y_lists.append(working_ys) working_xs = [] working_ys = [] new_curve = False else: x, y = [float(i) for i in line.strip().split(',')] working_xs.append(x) working_ys.append(y) x_lists.append(working_xs) y_lists.append(working_ys) if flat: all_zs = [] all_xs = [] all_ys = [] for z, xs, ys in zip(z_values, x_lists, y_lists): for x, y in zip(xs, ys): all_zs.append(z) all_xs.append(x) all_ys.append(y) return all_zs, all_xs, all_ys return z_values, x_lists, y_lists fluids-1.0.22/fluids/two_phase_voidage.pyi0000644000175000017500000001212314302004506020101 0ustar nileshnilesh# DO NOT EDIT - AUTOMATICALLY GENERATED BY tests/make_test_stubs.py! from __future__ import annotations from typing import List from typing import ( List, Optional, Union, ) def Armand(x: float, rhol: float, rhog: float) -> float: ... def Baroczy(x: float, rhol: float, rhog: float, mul: float, mug: float) -> float: ... def Beattie_Whalley(x: float, mul: float, mug: float, rhol: float, rhog: float) -> float: ... def Chisholm_Armand(x: float, rhol: float, rhog: float) -> float: ... def Chisholm_voidage(x: float, rhol: float, rhog: float) -> float: ... def Cicchitti(x: float, mul: float, mug: float) -> float: ... def Dix(x: float, rhol: float, rhog: float, sigma: float, m: float, D: float, g: float = ...) -> float: ... def Domanski_Didion(x: float, rhol: float, rhog: float, mul: float, mug: float) -> float: ... def Duckler(x: float, mul: float, mug: float, rhol: float, rhog: float) -> float: ... def Fauske(x: float, rhol: float, rhog: float) -> float: ... def Fourar_Bories(x: float, mul: float, mug: float, rhol: float, rhog: float) -> float: ... def Graham( x: float, rhol: float, rhog: float, mul: float, mug: float, m: float, D: float, g: float = ... ) -> float: ... def Gregory_Scott(x: float, rhol: float, rhog: float) -> float: ... def Guzhov(x: float, rhol: float, rhog: float, m: float, D: float) -> float: ... def Harms( x: float, rhol: float, rhog: float, mul: float, mug: float, m: float, D: float ) -> float: ... def Huq_Loth(x: float, rhol: float, rhog: float) -> float: ... def Kawahara(x: float, rhol: float, rhog: float, D: float) -> float: ... def Kopte_Newell_Chato( x: float, rhol: float, rhog: float, mul: float, mug: float, m: float, D: float, g: float = ... ) -> float: ... def Lin_Kwok(x: float, mul: float, mug: float) -> float: ... def Lockhart_Martinelli_Xtt( x: float, rhol: float, rhog: float, mul: float, mug: float, pow_x: float = ..., pow_rho: float = ..., pow_mu: float = ..., n: Optional[float] = ... ) -> float: ... def McAdams(x: float, mul: float, mug: float) -> float: ... def Nicklin_Wilkes_Davidson(x: float, rhol: float, rhog: float, m: float, D: float, g: float = ...) -> float: ... def Nishino_Yamazaki(x: float, rhol: float, rhog: float) -> float: ... def Rouhani_1(x: float, rhol: float, rhog: float, sigma: float, m: float, D: float, g: float = ...) -> float: ... def Rouhani_2(x: float, rhol: float, rhog: float, sigma: float, m: float, D: float, g: float = ...) -> float: ... def Smith(x: float, rhol: float, rhog: float) -> float: ... def Steiner(x: float, rhol: float, rhog: float, sigma: float, m: float, D: float, g: float = ...) -> float: ... def Sun_Duffey_Peng( x: float, rhol: float, rhog: float, sigma: float, m: float, D: float, P: float, Pc: float, g: float = ... ) -> float: ... def Tandon_Varma_Gupta( x: float, rhol: float, rhog: float, mul: float, mug: float, m: float, D: float ) -> float: ... def Thom(x: float, rhol: float, rhog: float, mul: float, mug: float) -> float: ... def Turner_Wallis(x: float, rhol: float, rhog: float, mul: float, mug: float) -> float: ... def Woldesemayat_Ghajar( x: float, rhol: float, rhog: float, sigma: float, m: float, D: float, P: float, angle: float = ..., g: float = ... ) -> float: ... def Xu_Fang_voidage(x: float, rhol: float, rhog: float, m: float, D: float, g: float = ...) -> float: ... def Yashar( x: float, rhol: float, rhog: float, mul: float, mug: float, m: float, D: float, g: float = ... ) -> float: ... def Zivi(x: float, rhol: float, rhog: float) -> float: ... def density_two_phase(alpha: float, rhol: float, rhog: float) -> float: ... def gas_liquid_viscosity( x: float, mul: float, mug: float, rhol: Optional[float] = ..., rhog: Optional[float] = ..., Method: Optional[str] = ... ) -> float: ... def gas_liquid_viscosity_methods( rhol: Optional[float] = ..., rhog: Optional[float] = ..., check_ranges: bool = ... ) -> List[str]: ... def homogeneous(x: float, rhol: float, rhog: float) -> float: ... def liquid_gas_voidage( x: float, rhol: float, rhog: float, D: Optional[float] = ..., m: Optional[float] = ..., mul: Optional[float] = ..., mug: Optional[float] = ..., sigma: Optional[float] = ..., P: Optional[float] = ..., Pc: Optional[float] = ..., angle: int = ..., g: float = ..., Method: Optional[str] = ... ) -> float: ... def liquid_gas_voidage_methods( x: float, rhol: float, rhog: float, D: Optional[float] = ..., m: Optional[float] = ..., mul: Optional[float] = ..., mug: Optional[float] = ..., sigma: Optional[float] = ..., P: Optional[float] = ..., Pc: Optional[float] = ..., angle: float = ..., g: float = ..., check_ranges: bool = ... ) -> List[str]: ... def two_phase_voidage_experimental(rho_lg: float, rhol: float, rhog: float) -> float: ... __all__: List[str]fluids-1.0.22/fluids/safety_valve.pyi0000644000175000017500000000162114302004506017103 0ustar nileshnilesh# DO NOT EDIT - AUTOMATICALLY GENERATED BY tests/make_test_stubs.py! from __future__ import annotations from typing import List from typing import Union def API520_A_g( m: float, T: float, Z: float, MW: float, k: float, P1: float, P2: float = ..., Kd: float = ..., Kb: float = ..., Kc: float = ... ) -> float: ... def API520_A_steam(m: float, T: float, P1: float, Kd: float = ..., Kb: float = ..., Kc: float = ...) -> float: ... def API520_B(Pset: float, Pback: float, overpressure: float = ...) -> float: ... def API520_C(k: float) -> float: ... def API520_F2(k: float, P1: float, P2: float) -> float: ... def API520_Kv(Re: float) -> float: ... def API520_N(P1: float) -> float: ... def API520_SH(T1: float, P1: float) -> float: ... def API520_W(Pset: float, Pback: float) -> float: ... def API520_round_size(A: float) -> float: ... __all__: List[str]fluids-1.0.22/fluids/saltation.pyi0000644000175000017500000000152014302004506016407 0ustar nileshnilesh# DO NOT EDIT - AUTOMATICALLY GENERATED BY tests/make_test_stubs.py! from __future__ import annotations from typing import List def Geldart_Ling(mp: float, rhog: float, D: float, mug: float) -> float: ... def Matsumoto_1974(mp: float, rhop: float, dp: float, rhog: float, D: float, Vterminal: float = ...) -> float: ... def Matsumoto_1975(mp: float, rhop: float, dp: float, rhog: float, D: float, Vterminal: float = ...) -> float: ... def Matsumoto_1977(mp: float, rhop: float, dp: float, rhog: float, D: float, Vterminal: float = ...) -> float: ... def Rizk(mp: float, dp: float, rhog: float, D: float) -> float: ... def Schade(mp: float, rhop: float, dp: float, rhog: float, D: float) -> float: ... def Weber_saltation(mp: float, rhop: float, dp: float, rhog: float, D: float, Vterminal: float = ...) -> float: ... __all__: List[str]fluids-1.0.22/fluids/numba.py0000644000175000017500000007122414302004506015352 0ustar nileshnilesh# -*- coding: utf-8 -*- """Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2020, Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. """ from __future__ import division import sys import importlib.util import re import types import inspect import string import numpy as np import fluids as normal_fluids import numba from numba import int32, float32, int64, float64 from numba.experimental import jitclass from numba import cfunc import linecache import numba.types from math import pi import fluids.optional.spa import ctypes from numba.extending import get_cython_function_address from numba.extending import overload caching = True extra_args_std = {'nogil': True, 'fastmath': True} extra_args_vec = {} __all__ = [] __funcs = {} no_conv_data_names = set(['__builtins__', 'fmethods']) try: import scipy.special as sc name_to_numba_signatures = { 'expi': [(float64,)], 'ellipe': [(float64,)], 'iv': [(float64, float64,)], 'gamma': [(float64,)], 'gammainc': [(float64, float64,)], 'gammaincc': [(float64, float64,)], 'i0': [(float64,)], 'i1': [(float64,)], 'k0': [(float64,)], 'k1': [(float64,)], 'hyp2f1': [(float64, float64, float64, float64,)], 'ellipkinc': [(float64, float64,)], 'ellipeinc': [(float64, float64,)], 'erf': [(float64,)], } name_and_types_to_pointer = { ('expi', float64): ctypes.CFUNCTYPE(ctypes.c_double, ctypes.c_double)(get_cython_function_address('scipy.special.cython_special', '__pyx_fuse_1expi')), ('ellipe', float64): ctypes.CFUNCTYPE(ctypes.c_double, ctypes.c_double)(get_cython_function_address('scipy.special.cython_special', 'ellipe')), ('iv', float64, float64): ctypes.CFUNCTYPE(ctypes.c_double, ctypes.c_double, ctypes.c_double)(get_cython_function_address('scipy.special.cython_special', '__pyx_fuse_1iv')), ('gamma', float64): ctypes.CFUNCTYPE(ctypes.c_double, ctypes.c_double)(get_cython_function_address('scipy.special.cython_special', '__pyx_fuse_1gamma')), ('gammainc', float64, float64): ctypes.CFUNCTYPE(ctypes.c_double, ctypes.c_double, ctypes.c_double)(get_cython_function_address('scipy.special.cython_special', 'gammainc')), ('gammaincc', float64, float64): ctypes.CFUNCTYPE(ctypes.c_double, ctypes.c_double, ctypes.c_double)(get_cython_function_address('scipy.special.cython_special', 'gammaincc')), ('i0', float64): ctypes.CFUNCTYPE(ctypes.c_double, ctypes.c_double)(get_cython_function_address('scipy.special.cython_special', 'i0')), ('i1', float64): ctypes.CFUNCTYPE(ctypes.c_double, ctypes.c_double)(get_cython_function_address('scipy.special.cython_special', 'i1')), ('k0', float64): ctypes.CFUNCTYPE(ctypes.c_double, ctypes.c_double)(get_cython_function_address('scipy.special.cython_special', 'k0')), ('k1', float64): ctypes.CFUNCTYPE(ctypes.c_double, ctypes.c_double)(get_cython_function_address('scipy.special.cython_special', 'k1')), ('hyp2f1', float64, float64, float64, float64): ctypes.CFUNCTYPE(ctypes.c_double, ctypes.c_double, ctypes.c_double, ctypes.c_double, ctypes.c_double)(get_cython_function_address('scipy.special.cython_special', '__pyx_fuse_1hyp2f1')), ('ellipkinc', float64, float64): ctypes.CFUNCTYPE(ctypes.c_double, ctypes.c_double, ctypes.c_double)(get_cython_function_address('scipy.special.cython_special', 'ellipkinc')), ('ellipeinc', float64, float64): ctypes.CFUNCTYPE(ctypes.c_double, ctypes.c_double, ctypes.c_double)(get_cython_function_address('scipy.special.cython_special', 'ellipeinc')), ('erf', float64): ctypes.CFUNCTYPE(ctypes.c_double, ctypes.c_double)(get_cython_function_address('scipy.special.cython_special', '__pyx_fuse_1erf')), } def select_kernel(name, signature): f2 = name_and_types_to_pointer[(name, *signature)] second_lambda = lambda *args: lambda *args: f2(*args) return second_lambda def add_scipy_special_overloads(): for name, sigs in name_to_numba_signatures.items(): sig = sigs[0] # Sig is a tuple of arguments func = getattr(sc, name) overload(func)(select_kernel(name, sigs[0])) add_scipy_special_overloads() except: pass def numba_exec_cacheable(source, lcs=None, gbls=None, cache_name='cache-safe'): filepath = "" % cache_name lines = [line + '\n' for line in source.splitlines()] linecache.cache[filepath] = (len(source), None, lines, filepath) if lcs is None: lcs = {} if gbls is None: gbls = globals() exec(compile(source, filepath, 'exec'), gbls, lcs) return lcs, gbls # Some unfotrunate code duplication @numba.njit(cache=caching, **extra_args_std) def fpbspl(t, n, k, x, l, h, hh): h[0] = 1.0 for j in range(1, k + 1): hh[0:j] = h[0:j] h[0] = 0.0 for i in range(j): li = l+i f = hh[i]/(t[li] - t[li - j]) h[i] = h[i] + f*(t[li] - x) h[i + 1] = f*(x - t[li - j]) return h, hh @numba.njit(cache=caching, **extra_args_std) def init_w(t, k, x, lx, w): tb = t[k] n = len(t) m = len(x) h = np.zeros(6, dtype=np.float64)#([0]*6 ) hh = np.zeros(5, dtype=np.float64)##np.array([0]*5) te = t[n - k - 1] l1 = k + 1 l2 = l1 + 1 for i in range(m): arg = x[i] if arg < tb: arg = tb if arg > te: arg = te while not (arg < t[l1] or l1 == (n - k - 1)): l1 = l2 l2 = l1 + 1 h, hh = fpbspl(t, n, k, arg, l1, h, hh) lx[i] = l1 - k - 1 for j in range(k + 1): w[i][j] = h[j] return w @numba.njit(cache=caching, **extra_args_std) def cy_bispev(tx, ty, c, kx, ky, x, y): nx = len(tx) ny = len(ty) mx = 1 # hardcode to one point my = 1 # hardcode to one point kx1 = kx + 1 ky1 = ky + 1 nkx1 = nx - kx1 nky1 = ny - ky1 wx = np.zeros((mx, kx1)) wy = np.zeros((my, ky1)) lx = np.zeros(mx, dtype=np.int32) ly = np.zeros(my, dtype=np.int32) size_z = mx*my z = [0.0]*size_z wx = init_w(tx, kx, x, lx, wx) wy = init_w(ty, ky, y, ly, wy) for j in range(my): for i in range(mx): sp = 0.0 err = 0.0 for i1 in range(kx1): for j1 in range(ky1): l2 = lx[i]*nky1 + ly[j] + i1*nky1 + j1 a = c[l2]*wx[i][i1]*wy[j][j1] - err tmp = sp + a err = (tmp - sp) - a sp = tmp z[j*mx + i] += sp return z @numba.njit(cache=caching, **extra_args_std) def normalize(values): tot_inv = 1.0/sum(values) return np.array([i*tot_inv for i in values]) @numba.njit(cache=caching, **extra_args_std) def bisplev(x, y, tck, dx=0, dy=0): tx, ty, c, kx, ky = tck return cy_bispev(tx, ty, c, kx, ky, np.array([x]), np.array([y]))[0] @numba.njit(cache=caching, **extra_args_std) def combinations(pool, r): n = len(pool) # indices = tuple(list(range(r))) indices = np.arange(r) empty = not (n and (0 < r <= n)) if not empty: # yield [pool[i] for i in indices] # yield (pool[i] for i in indices) yield np.array([pool[i] for i in indices]) while not empty: i = r - 1 while i >= 0 and indices[i] == i + n - r: i -= 1 if i < 0: empty = True else: indices[i] += 1 for j in range(i + 1, r): indices[j] = indices[j - 1] + 1 result = np.array([pool[i] for i in indices]) yield result to_set_num = ['bisplev', 'cy_bispev', 'init_w', 'fpbspl'] def infer_dictionary_types(d): if not d: raise ValueError("Empty dictionary cannot infer") keys = list(d.keys()) type_keys = type(keys[0]) for k in keys: if type(k) != type_keys: raise ValueError("Inconsistent key types in dictionary") values = list(d.values()) type_values = type(values[0]) for v in values: if type(v) != type_values: raise ValueError("Inconsistent value types in dictionary") return numba.typeof(keys[0]), numba.typeof(values[0]) def numba_dict(d): key_type, value_type = infer_dictionary_types(d) new = numba.typed.Dict.empty(key_type=key_type, value_type=value_type) for k, v in d.items(): new[k] = v return new def return_value_numpy(source): ret = re.search(r'return +\[', source) if ret: start_return, start_bracket = ret.regs[-1] enclosing = 1 for i, v in enumerate(source[start_bracket:]): if v == '[': enclosing += 1 if v == ']': enclosing -= 1 if not enclosing: break return source[:start_bracket-1] + 'np.array([%s)' %source[start_bracket:i+start_bracket+1] return source # Magic to make a lists into arrays list_mult_expr = r'\[ *([+-]?([0-9]+([.][0-9]*)?|[.][0-9]+)) *\] *\* *([a-zA-Z0-9_]+)' numpy_not_list_expr = r'np.full((\4,), \1)' match_prange = r'range\( *([a-zA-Z0-9_]+) *\) *: *# * (numba|NUMBA) *: *(prange|PRANGE)' sub_prange = r'prange(\1):' def transform_lists_to_arrays(module, to_change, __funcs, vec=False, cache_blacklist=set([])): if vec: conv_fun = numba.vectorize extra_args = extra_args_vec else: conv_fun = numba.njit extra_args = extra_args_std for s in to_change: func = s.split('.')[-1] mod = '.'.join(s.split('.')[:-1]) fake_mod = __funcs[mod] try: real_mod = getattr(module, mod) except: real_mod = module for s in mod.split('.'): real_mod = getattr(real_mod, s) orig_func = getattr(real_mod, func) source = inspect.getsource(orig_func) source = remove_for_numba(source) # do before anything else if type(orig_func) is not type: source = return_value_numpy(source) source = re.sub(list_mult_expr, numpy_not_list_expr, source) parallel = 'prange' in source source = re.sub(match_prange, sub_prange, source) # if 'roughness_Farshad' in source: # print(source) # print(parallel, 'hi', extra_args) numba_exec_cacheable(source, fake_mod.__dict__, fake_mod.__dict__) new_func = fake_mod.__dict__[func] do_cache = caching and func not in cache_blacklist if type(orig_func) is type: obj = new_func else: if vec: obj = conv_fun(cache=do_cache, **extra_args)(new_func) else: obj = conv_fun(cache=do_cache, parallel=parallel, **extra_args)(new_func) # if 'Wilke_large' in source: # print(id(obj), 'id') __funcs[func] = obj fake_mod.__dict__[func] = obj obj.__doc__ = '' #set_signatures = {'Clamond': [numba.float64(numba.float64, numba.float64, numba.boolean), # numba.float64(numba.float64, numba.float64, numba.optional(numba.boolean)) # ] # } set_signatures = {} remove_comment_line = re.compile(r'''r?(['"])\1\1(.*?)\1{3}''', re.DOTALL) def remove_for_numba(source): source = re.sub(r'''.*# ?(numba|NUMBA) ?: *(DELETE|delete|comment|COMMENT).*''', '', source) source = re.sub(r'''#(.*)# ?(numba|NUMBA) ?: *(UNCOMMENT|uncomment).*''', r'\1', source) return source def remove_branch(source, branch): source = re.sub(remove_comment_line, '', source) ret = re.search(r'if +%s *' %branch, source) if ret: start_return, start_bracket = ret.regs[-1] enclosing_square = enclosing_curley = enclosing_round = 0 required_line_start = source[0:start_return].replace('\r', '\n').replace('\n\n','\n').split('\n')[-1] required_spacing = 4 search_txt = source[start_bracket:] # print(search_txt) for i, v in enumerate(search_txt): if v == '[': enclosing_square += 1 if v == ']': enclosing_square -= 1 if v == '{': enclosing_curley += 1 if v == '}': enclosing_curley -= 1 if v == '(': enclosing_round += 1 if v == ')': enclosing_round -= 1 if enclosing_round == 0 and enclosing_square == 0 and enclosing_curley == 0: if (search_txt[i:i+len(required_line_start)+1] == '\n' + required_line_start): # print([True, search_txt[i:i+len(required_line_start)+2]]) if (search_txt[i+len(required_line_start)+1] in string.ascii_letters): end_idx = i break return source[:start_return] + search_txt[end_idx:] return source numtypes = {float, int, complex} settypes = {set, frozenset} def transform_dataypes_module(SUBMOD): module_constants_changed_type = {} for arr_name in SUBMOD.__dict__: if arr_name in no_conv_data_names: continue obj = getattr(SUBMOD, arr_name) obj_type = type(obj) if obj_type is list and obj: # Assume all elements have the same general type r = obj[0] r_type = type(r) if r_type in numtypes: arr = np.array(obj) if arr.dtype.char != 'O': module_constants_changed_type[arr_name] = arr elif r_type is list and r and type(r[0]) in numtypes: if len(set([len(r) for r in obj])) == 1: # All same size - nice numpy array arr = np.array(obj) if arr.dtype.char != 'O': module_constants_changed_type[arr_name] = arr else: # Tuple of different size numpy arrays module_constants_changed_type[arr_name] = tuple([np.array(v) for v in obj]) elif obj_type in settypes: module_constants_changed_type[arr_name] = tuple(obj) # elif obj_type is dict: # try: # print('starting', arr_name) # infer_dictionary_types(obj) # module_constants_changed_type[arr_name] = numba_dict(obj) # except: # print(arr_name, 'failed') # pass return module_constants_changed_type #nopython = set(['Clamond']) skip = set([]) total_skip = set([]) skip_cache = set(['secant', 'brenth', 'py_solve']) bad_names = set(('__file__', '__name__', '__package__', '__cached__', 'solve')) from fluids.numerics import SamePointError, UnconvergedError, NotBoundedError def create_numerics(replaced, vec=False): cache_unsuported = set(['brenth', 'newton_system', 'quad', 'quad_adaptive', 'fixed_quad_Gauss_Kronrod', 'py_lambertw', 'secant', 'lambertw', 'ridder', 'bisect']) # cache_unsuported = set([]) # if vec: # conv_fun = numba.vectorize # else: # Not part of the public API - do not need to worry about the stricter # numba.vectorize interface! conv_fun = numba.njit NUMERICS_SUBMOD_COPY = importlib.util.find_spec('fluids.numerics') NUMERICS_SUBMOD = importlib.util.module_from_spec(NUMERICS_SUBMOD_COPY) NUMERICS_SUBMOD.IS_NUMBA = True NUMERICS_SUBMOD.FORCE_PYPY = True NUMERICS_SUBMOD.numba = numba NUMERICS_SUBMOD.jitclass = jitclass NUMERICS_SUBMOD.njit = numba.njit NUMERICS_SUBMOD.jit = numba.jit NUMERICS_SUBMOD.array_if_needed = np.array NUMERICS_SUBMOD.sum = np.sum NUMERICS_SUBMOD_COPY.loader.exec_module(NUMERICS_SUBMOD) NUMERICS_SUBMOD.zeros = np.zeros NUMERICS_SUBMOD.full = np.full # So long as the other modules are using the system numerics and being updated with the correct numerics methods later # numba wants to make sure these are the same same_classes = ['OscillationError', 'UnconvergedError', 'SamePointError', 'NoSolutionError', 'NotBoundedError', 'DiscontinuityError'] for s in same_classes: setattr(NUMERICS_SUBMOD, s, getattr(normal_fluids.numerics, s)) names = list(NUMERICS_SUBMOD.__all__) try: names += NUMERICS_SUBMOD.__numba_additional_funcs__ except: pass NUMERICS_SUBMOD.py_solve = np.linalg.solve bad_names = set(['tck_interp2d_linear', 'implementation_optimize_tck', 'py_solve']) bad_names.update(to_set_num) solvers = ['secant', 'brenth', 'newton', 'halley', 'ridder', 'newton_system', 'solve_2_direct', 'solve_3_direct', 'solve_4_direct', 'basic_damping', 'bisect'] # for s in solvers: source = inspect.getsource(getattr(NUMERICS_SUBMOD, s)) source = source.replace(', kwargs={}', '').replace(', **kwargs', '').replace(', kwargs=kwargs', '') source = source.replace('iterations=i, point=p, err=q1', '') source = source.replace(', q1=q1, p1=p1, q0=q0, p0=p0', '') source = source.replace('%d iterations" %maxiter', '"') source = source.replace('ytol=None', 'ytol=1e100') source = source.replace(', value=%s" %(maxiter, x)', '"') source = re.sub(r'''UnconvergedError\(.*''', '''UnconvergedError("Failed to converge")''', source) # Gotta keep errors all one one line source = remove_for_numba(source) source = re.sub(list_mult_expr, numpy_not_list_expr, source) # if any(i in s for i in ('bisect', 'solve_2_direct', 'basic_damping')): # print(source) numba_exec_cacheable(source, NUMERICS_SUBMOD.__dict__, NUMERICS_SUBMOD.__dict__) # numerics_forceobj = set(solvers) # Force the sovlers to compile in object mode # numerics_forceobj = [] for name in names: if name not in bad_names: obj = getattr(NUMERICS_SUBMOD, name) if isinstance(obj, types.FunctionType): do_cache = caching and name not in cache_unsuported # forceobj = name in numerics_forceobj # forceobj = False # cache=not forceobj # cache=name not in skip_cache obj = conv_fun(cache=do_cache, **extra_args_std)(obj) NUMERICS_SUBMOD.__dict__[name] = obj replaced[name] = obj # globals()[name] = objs for name in to_set_num: NUMERICS_SUBMOD.__dict__[name] = globals()[name] replaced['bisplev'] = replaced['py_bisplev'] = NUMERICS_SUBMOD.__dict__['bisplev'] = bisplev # replaced['lambertw'] = NUMERICS_SUBMOD.__dict__['lambertw'] = NUMERICS_SUBMOD.__dict__['py_lambertw'] for s in ('ellipe', 'gammaincc', 'gamma', 'i1', 'i0', 'k1', 'k0', 'iv', 'hyp2f1', 'erf', 'ellipkinc', 'ellipeinc'): replaced[s] = NUMERICS_SUBMOD.__dict__[s] module_constants_changed_type = transform_dataypes_module(NUMERICS_SUBMOD) NUMERICS_SUBMOD.__dict__.update(module_constants_changed_type) NUMERICS_SUBMOD.normalize = normalize replaced['normalize'] = normalize for k, v in NUMERICS_SUBMOD.fit_minimization_targets.items(): NUMERICS_SUBMOD.fit_minimization_targets[k] = replaced[v.__name__] return replaced, NUMERICS_SUBMOD replaced = {'sum': np.sum, 'combinations': combinations, 'np': np} replaced, NUMERICS_SUBMOD = create_numerics(replaced, vec=False) numerics_dict = replaced numerics = NUMERICS_SUBMOD #old_numerics = sys.modules['fluids.numerics'] #sys.modules['fluids.numerics'] = numerics normal = normal_fluids def transform_module(normal, __funcs, replaced, vec=False, blacklist=frozenset([]), cache_blacklist=set([])): new_mods = [] if vec: conv_fun = numba.vectorize extra_args = extra_args_vec else: conv_fun = numba.njit extra_args = extra_args_std # Run module-by-module. Expensive, as we need to create module copies try: all_submodules = normal.all_submodules() except: all_submodules = normal.submodules for mod in all_submodules: #print(all_submodules, mod) SUBMOD_COPY = importlib.util.find_spec(mod.__name__) SUBMOD = importlib.util.module_from_spec(SUBMOD_COPY) SUBMOD.IS_NUMBA = True SUBMOD.numba = numba SUBMOD.jitclass = jitclass SUBMOD.njit = numba.njit SUBMOD.jit = numba.jit SUBMOD.prange = numba.prange if vec: SUBMOD.IS_NUMBA_VEC = True SUBMOD_COPY.loader.exec_module(SUBMOD) SUBMOD.np = np SUBMOD.sum = np.sum SUBMOD.__dict__.update(replaced) new_mods.append(SUBMOD) mod_split_names = mod.__name__.split('.') __funcs[mod_split_names[-1]] = SUBMOD # fluids.numba.optional.spa __funcs['.'.join(mod_split_names[:-1])] = SUBMOD # set fluids.optional.spa fluids.numba.spa __funcs['.'.join(mod_split_names[-2:])] = SUBMOD # set 'optional.spa' in the dict too try: names = set(SUBMOD.__all__) except: names = set() for mod_obj_name in dir(SUBMOD): obj = getattr(SUBMOD, mod_obj_name) if (isinstance(obj, types.FunctionType) and mod_obj_name != '__getattr__' and not mod_obj_name.startswith('_load') and obj.__module__ == SUBMOD.__name__): names.add(mod_obj_name) # try: # names += SUBMOD.__numba_additional_funcs__ # except: # pass numba_funcs = [] funcs = [] for name in names: obj = getattr(SUBMOD, name) if isinstance(obj, types.FunctionType): if name not in total_skip and name not in blacklist: SUBMOD.__dict__[name] = obj = conv_fun(cache=(caching and name not in cache_blacklist), **extra_args)(obj) numba_funcs.append(obj) else: funcs.append(obj) __funcs[name] = obj module_constants_changed_type = transform_dataypes_module(SUBMOD) SUBMOD.__dict__.update(module_constants_changed_type) __funcs.update(module_constants_changed_type) # if not vec: # for t in numba_funcs: # #if normal.__name__ == 'chemicals': # # if 'iapws' not in all_submodules[-1].__name__: # # print(new_objs, t) # # 1/0 # t.py_func.__globals__.update(SUBMOD.__dict__) # for t in funcs: # t.__globals__.update(SUBMOD.__dict__) # Do our best to allow functions to be found if '__file__' in __funcs: del __funcs['__file__'] if '__file__' in replaced: del replaced['__file__'] for mod in new_mods: mod.__dict__.update(__funcs) return new_mods def transform_complete(replaced, __funcs, __all__, normal, vec=False): cache_blacklist = set(['Stichlmair_flood', 'airmass', 'Spitzglass_high', '_to_solve_Spitzglass_high', '_to_solve_Spitzglass_low', 'Spitzglass_low', 'Oliphant', '_to_solve_Oliphant', 'P_isothermal_critical_flow', 'P_upstream_isothermal_critical_flow', 'isothermal_gas_err_P1', 'isothermal_gas_err_P2', 'isothermal_gas_err_P2_basis', 'isothermal_gas_err_D', 'isothermal_gas', 'v_terminal', 'differential_pressure_meter_solver', 'err_dp_meter_solver_P1', 'err_dp_meter_solver_D2', 'err_dp_meter_solver_P2', 'err_dp_meter_solver_m', 'V_horiz_spherical', 'V_horiz_torispherical', 'Prandtl_von_Karman_Nikuradse', 'plate_enlargement_factor', 'Stichlmair_wet', 'V_from_h', 'SA_partial_horiz_spherical_head', '_SA_partial_horiz_spherical_head_to_int', '_SA_partial_horiz_ellipsoidal_head_to_int', '_SA_partial_horiz_ellipsoidal_head_limits', 'SA_partial_horiz_ellipsoidal_head', '_SA_partial_horiz_guppy_head_to_int', 'SA_partial_horiz_guppy_head', 'SA_partial_horiz_torispherical_head', 'SA_from_h', 'V_tank']) # cache_blacklist = set([]) if vec: conv_fun = numba.vectorize extra_args = extra_args_vec else: conv_fun = numba.njit extra_args = extra_args_std new_mods = transform_module(normal, __funcs, replaced, vec=vec, cache_blacklist=cache_blacklist) to_change = ['packed_tower._Stichlmair_flood_f_and_jac', 'packed_tower.Stichlmair_flood', 'compressible.isothermal_gas', 'fittings.Darby3K', 'fittings.Hooper2K', 'geometry.SA_partial_horiz_torispherical_head', 'optional.spa.solar_position', 'optional.spa.longitude_obliquity_nutation', 'optional.spa.transit_sunrise_sunset', 'fittings.bend_rounded_Crane', 'geometry.tank_from_two_specs_err', 'friction.roughness_Farshad', ] transform_lists_to_arrays(normal_fluids, to_change, __funcs, vec=vec, cache_blacklist=cache_blacklist) # AvailableMethods will be removed in the future in favor of non-numba only # calls to method functions to_change = {} # to_change['friction.roughness_Farshad'] = 'ID in _Farshad_roughness' for s, bad_branch in to_change.items(): mod, func = s.split('.') source = inspect.getsource(getattr(getattr(normal_fluids, mod), func)) fake_mod = __funcs[mod] source = remove_branch(source, bad_branch) source = remove_for_numba(source) numba_exec_cacheable(source, fake_mod.__dict__, fake_mod.__dict__) new_func = fake_mod.__dict__[func] obj = conv_fun(cache=caching, **extra_args)(new_func) __funcs[func] = obj obj.__doc__ = '' # Do some classes by hand PlateExchanger_spec = [(k, float64) for k in ('pitch', 'beta', 'gamma', 'a', 'amplitude', 'wavelength', 'b', 'chevron_angle', 'inclination_angle', 'plate_corrugation_aspect_ratio', 'plate_enlargement_factor', 'D_eq', 'D_hydraulic', 'width', 'length', 'thickness', 'd_port', 'plates', 'length_port', 'A_plate_surface', 'A_heat_transfer', 'A_channel_flow', 'channels', 'channels_per_fluid')] PlateExchanger_spec.append(('chevron_angles', numba.types.UniTuple(float64, 2))) HelicalCoil_spec = [(k, float64) for k in ('Do', 'Dt', 'Di', 'Do_total', 'N', 'pitch', 'H', 'H_total', 'tube_circumference', 'tube_length', 'surface_area', 'helix_angle', 'curvature', 'total_inlet_area', 'total_volume', 'inner_surface_area', 'inlet_area', 'inner_volume', 'annulus_area', 'annulus_volume')] ATMOSPHERE_1976_spec = [(k, float64) for k in ('Z', 'dT', 'H', 'T_layer', 'T_increase', 'P_layer', 'H_layer', 'H_above_layer', 'T', 'P', 'rho', 'v_sonic', 'mu', 'k', 'g', 'R')] # # No string support # PlateExchanger = jitclass(PlateExchanger_spec)(getattr(__funcs['geometry'], 'PlateExchanger')) # __funcs['PlateExchanger'] = __funcs['geometry'].PlateExchanger = PlateExchanger HelicalCoil = jitclass(HelicalCoil_spec)(getattr(__funcs['geometry'], 'HelicalCoil')) __funcs['HelicalCoil'] = __funcs['geometry'].HelicalCoil = HelicalCoil ATMOSPHERE_1976 = jitclass(ATMOSPHERE_1976_spec)(getattr(__funcs['atmosphere'], 'ATMOSPHERE_1976')) __funcs['ATMOSPHERE_1976'] = __funcs['atmosphere'].ATMOSPHERE_1976 = ATMOSPHERE_1976 # Not needed __funcs['friction'].Colebrook = __funcs['Colebrook'] = __funcs['Clamond'] # Works but 50% slower #__funcs['geometry']._V_horiz_spherical_toint = __funcs['_V_horiz_spherical_toint'] = cfunc("float64(float64, float64, float64, float64)")(normal_fluids.geometry._V_horiz_spherical_toint) for mod in new_mods: mod.__dict__.update(__funcs) try: __all__.extend(mod.__all__) except AttributeError: pass transform_complete(replaced, __funcs, __all__, normal, vec=False) numbafied_fluids_functions = __funcs globals().update(__funcs) globals().update(replaced) #sys.modules['fluids.numerics'] = old_numerics fluids-1.0.22/fluids/safety_valve.py0000644000175000017500000005504114302004506016737 0ustar nileshnilesh# -*- coding: utf-8 -*- """Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2016, Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. This module contains functions for sizing and rating pressure relief valves. At present, this consists of several functions from API 520. For reporting bugs, adding feature requests, or submitting pull requests, please use the `GitHub issue tracker `_ or contact the author at Caleb.Andrew.Bell@gmail.com. .. contents:: :local: Interfaces ---------- .. autofunction:: API520_A_g .. autofunction:: API520_A_steam Functions and Data ------------------ .. autofunction:: API520_round_size .. autofunction:: API520_C .. autofunction:: API520_F2 .. autofunction:: API520_Kv .. autofunction:: API520_N .. autofunction:: API520_SH .. autofunction:: API520_B .. autofunction:: API520_W .. autodata:: API526_letters .. autodata:: API526_A_sq_inch .. autodata:: API526_A """ from __future__ import division from math import exp, sqrt from fluids.constants import inch, atm from fluids.compressible import is_critical_flow from fluids.numerics import interp, tck_interp2d_linear, bisplev __all__ = ['API526_A_sq_inch', 'API526_letters', 'API526_A', 'API520_round_size', 'API520_C', 'API520_F2', 'API520_Kv', 'API520_N', 'API520_SH', 'API520_B', 'API520_W', 'API520_A_g', 'API520_A_steam'] API526_A_sq_inch = [0.110, 0.196, 0.307, 0.503, 0.785, 1.287, 1.838, 2.853, 3.60, 4.34, 6.38, 11.05, 16.00, 26.00] # square inches '''list: Nominal relief area in for different valve sizes in API 520, [in^2]''' API526_letters = ['D', 'E', 'F', 'G', 'H', 'J', 'K', 'L', 'M', 'N', 'P', 'Q', 'R','T'] '''list: Letter size designations for different valve sizes in API 520''' inch2 = inch*inch API526_A = [i*inch2 for i in API526_A_sq_inch] '''list: Nominal relief area in for different valve sizes in API 520, [m^2]''' del inch2 def API520_round_size(A): r'''Rounds up the area from an API 520 calculation to an API526 standard valve area. The returned area is always larger or equal to the input area. Parameters ---------- A : float Minimum discharge area [m^2] Returns ------- area : float Actual discharge area [m^2] Notes ----- To obtain the letter designation of an input area, lookup the area with the following: API526_letters[API526_A.index(area)] An exception is raised if the required relief area is larger than any of the API 526 sizes. Examples -------- From [1]_, checked with many points on Table 8. >>> API520_round_size(1E-4) 0.00012645136 >>> API526_letters[API526_A.index(API520_round_size(1E-4))] 'E' References ---------- .. [1] API Standard 526. ''' for area in API526_A: if area >= A: return area raise ValueError('Required relief area is larger than can be provided with one valve') def API520_C(k): r'''Calculates coefficient C for use in API 520 critical flow relief valve sizing. .. math:: C = 0.03948\sqrt{k\left(\frac{2}{k+1}\right)^\frac{k+1}{k-1}} Parameters ---------- k : float Isentropic coefficient or ideal gas heat capacity ratio [-] Returns ------- C : float Coefficient `C` [-] Notes ----- If C cannot be established, assume a coefficient of 0.0239, the highest value possible for C. Although not dimensional, C varies with the units used. If k is exactly equal to 1, the expression is undefined, and the formula must be simplified as follows from an application of L'Hopital's rule. .. math:: C = 0.03948\sqrt{\frac{1}{e}} Examples -------- From [1]_, checked with many points on Table 8. >>> API520_C(1.35) 0.02669419967057233 References ---------- .. [1] API Standard 520, Part 1 - Sizing and Selection. ''' if k != 1: return 0.03948*sqrt(k*(2./(k+1.))**((k+1.)/(k-1.))) else: return 0.03948*sqrt(1./exp(1)) def API520_F2(k, P1, P2): r'''Calculates coefficient F2 for subcritical flow for use in API 520 subcritical flow relief valve sizing. .. math:: F_2 = \sqrt{\left(\frac{k}{k-1}\right)r^\frac{2}{k} \left[\frac{1-r^\frac{k-1}{k}}{1-r}\right]} .. math:: r = \frac{P_2}{P_1} Parameters ---------- k : float Isentropic coefficient or ideal gas heat capacity ratio [-] P1 : float Upstream relieving pressure; the set pressure plus the allowable overpressure, plus atmospheric pressure, [Pa] P2 : float Built-up backpressure; the increase in pressure during flow at the outlet of a pressure-relief device after it opens, [Pa] Returns ------- F2 : float Subcritical flow coefficient `F2` [-] Notes ----- F2 is completely dimensionless. Examples -------- From [1]_ example 2, matches. >>> API520_F2(1.8, 1E6, 7E5) 0.8600724121105563 References ---------- .. [1] API Standard 520, Part 1 - Sizing and Selection. ''' r = P2/P1 return sqrt(k/(k-1)*r**(2./k) * ((1-r**((k-1.)/k))/(1.-r))) def API520_Kv(Re): r'''Calculates correction due to viscosity for liquid flow for use in API 520 relief valve sizing. .. math:: K_v = \left(0.9935 + \frac{2.878}{Re^{0.5}} + \frac{342.75} {Re^{1.5}}\right)^{-1} Parameters ---------- Re : float Reynolds number for flow out the valve [-] Returns ------- Kv : float Correction due to viscosity [-] Notes ----- Reynolds number in the standard is defined as follows, with Q in L/min, G1 as specific gravity, mu in centipoise, and area in mm^2: .. math:: Re = \frac{Q(18800G_1)}{\mu \sqrt{A}} It is unclear how this expression was derived with a constant of 18800; the following code demonstrates what the constant should be: >>> from scipy.constants import * >>> liter/minute*1000./(0.001*(milli**2)**0.5) 16666.666666666668 Examples -------- From [1]_, checked with example 5. >>> API520_Kv(100) 0.6157445891444229 References ---------- .. [1] API Standard 520, Part 1 - Sizing and Selection. ''' return (0.9935 + 2.878/sqrt(Re) + 342.75/Re**1.5)**-1.0 def API520_N(P1): r'''Calculates correction due to steam pressure for steam flow for use in API 520 relief valve sizing. For pressures below 10339 kPa, the correction factor is 1. .. math:: K_N = \frac{0.02764P_1-1000}{0.03324P_1-1061} Parameters ---------- P1 : float Upstream relieving pressure; the set pressure plus the allowable overpressure, plus atmospheric pressure, [Pa] Returns ------- KN : float Correction due to steam temperature [-] Notes ----- Although not dimensional, KN varies with the units used. For temperatures above 922 K or 22057 kPa, KN is not defined. Internally, units of kPa are used to match the equation in the standard. Examples -------- >>> API520_N(10500e3) 0.9969100255 References ---------- .. [1] API Standard 520, Part 1 - Sizing and Selection. ''' P1 = P1*1e-3 # Pa to kPa if P1 <= 10339.0: KN = 1.0 else: KN = (0.02764*P1 - 1000.)/(0.03324*P1 - 1061.0) return KN _KSH_psigs = [15, 20, 40, 60, 80, 100, 120, 140, 160, 180, 200, 220, 240, 260, 280, 300, 350, 400, 500, 600, 800, 1000, 1250, 1500, 1750, 2000, 2500, 3000] _KSH_tempFs = [300, 400, 500, 600, 700, 800, 900, 1000, 1100, 1200] # _KSH_psigs converted from psig to Pa _KSH_Pa = [204746.3593975254, 239220.14586336722, 377115.29172673443, 515010.4375901016, 652905.5834534689, 790800.7293168361, 928695.8751802032, 1066591.0210435705, 1204486.1669069377, 1342381.312770305, 1480276.4586336722, 1618171.6044970395, 1756066.7503604065, 1893961.8962237737, 2031857.042087141, 2169752.187950508, 2514490.0526089263, 2859227.9172673444, 3548703.64658418, 4238179.375901016, 5617130.834534689, 6996082.29316836, 8719771.616460452, 10443460.939752541, 12167150.263044631, 13890839.58633672, 17338218.232920904, 20785596.879505083] # _KSH_tempFs converted from F to K _KSH_tempKs = [422.03888888888889, 477.59444444444443, 533.14999999999998, 588.70555555555552, 644.26111111111106, 699.81666666666661, 755.37222222222226, 810.92777777777769, 866.48333333333335, 922.03888888888889] _KSH_factors = [[1, 0.98, 0.93, 0.88, 0.84, 0.8, 0.77, 0.74, 0.72, 0.7], [1, 0.98, 0.93, 0.88, 0.84, 0.8, 0.77, 0.74, 0.72, 0.7], [1, 0.99, 0.93, 0.88, 0.84, 0.81, 0.77, 0.74, 0.72, 0.7], [1, 0.99, 0.93, 0.88, 0.84, 0.81, 0.77, 0.75, 0.72, 0.7], [1, 0.99, 0.93, 0.88, 0.84, 0.81, 0.77, 0.75, 0.72, 0.7], [1, 0.99, 0.94, 0.89, 0.84, 0.81, 0.77, 0.75, 0.72, 0.7], [1, 0.99, 0.94, 0.89, 0.84, 0.81, 0.78, 0.75, 0.72, 0.7], [1, 0.99, 0.94, 0.89, 0.85, 0.81, 0.78, 0.75, 0.72, 0.7], [1, 0.99, 0.94, 0.89, 0.85, 0.81, 0.78, 0.75, 0.72, 0.7], [1, 0.99, 0.94, 0.89, 0.85, 0.81, 0.78, 0.75, 0.72, 0.7], [1, 0.99, 0.95, 0.89, 0.85, 0.81, 0.78, 0.75, 0.72, 0.7], [1, 0.99, 0.95, 0.89, 0.85, 0.81, 0.78, 0.75, 0.72, 0.7], [1, 1, 0.95, 0.9, 0.85, 0.81, 0.78, 0.75, 0.72, 0.7], [1, 1, 0.95, 0.9, 0.85, 0.81, 0.78, 0.75, 0.72, 0.7], [1, 1, 0.96, 0.9, 0.85, 0.81, 0.78, 0.75, 0.72, 0.7], [1, 1, 0.96, 0.9, 0.85, 0.81, 0.78, 0.75, 0.72, 0.7], [1, 1, 0.96, 0.9, 0.86, 0.82, 0.78, 0.75, 0.72, 0.7], [1, 1, 0.96, 0.91, 0.86, 0.82, 0.78, 0.75, 0.72, 0.7], [1, 1, 0.96, 0.92, 0.86, 0.82, 0.78, 0.75, 0.73, 0.7], [1, 1, 0.97, 0.92, 0.87, 0.82, 0.79, 0.75, 0.73, 0.7], [1, 1, 1, 0.95, 0.88, 0.83, 0.79, 0.76, 0.73, 0.7], [1, 1, 1, 0.96, 0.89, 0.84, 0.78, 0.76, 0.73, 0.71], [1, 1, 1, 0.97, 0.91, 0.85, 0.8, 0.77, 0.74, 0.71], [1, 1, 1, 1, 0.93, 0.86, 0.81, 0.77, 0.74, 0.71], [1, 1, 1, 1, 0.94, 0.86, 0.81, 0.77, 0.73, 0.7], [1, 1, 1, 1, 0.95, 0.86, 0.8, 0.76, 0.72, 0.69], [1, 1, 1, 1, 0.95, 0.85, 0.78, 0.73, 0.69, 0.66], [1, 1, 1, 1, 1, 0.82, 0.74, 0.69, 0.65, 0.62]] API520_KSH_tck = tck_interp2d_linear(_KSH_tempKs, _KSH_Pa, _KSH_factors) def API520_SH(T1, P1): r'''Calculates correction due to steam superheat for steam flow for use in API 520 relief valve sizing. 2D interpolation among a table with 28 pressures and 10 temperatures is performed. Parameters ---------- T1 : float Temperature of the fluid entering the valve [K] P1 : float Upstream relieving pressure; the set pressure plus the allowable overpressure, plus atmospheric pressure, [Pa] Returns ------- KSH : float Correction due to steam superheat [-] Notes ----- For P above 20679 kPag, use the critical flow model. Superheat cannot be above 649 degrees Celsius. If T1 is above 149 degrees Celsius, returns 1. Examples -------- Custom example from table 9: >>> API520_SH(593+273.15, 1066.325E3) 0.7201800000000002 References ---------- .. [1] API Standard 520, Part 1 - Sizing and Selection. ''' if P1 > 20780325.0: # 20679E3+atm raise ValueError('For P above 20679 kPag, use the critical flow model') if T1 > 922.15: raise ValueError('Superheat cannot be above 649 degrees Celcius') if T1 < 422.15: return 1. # No superheat under 15 psig return float(bisplev(T1, P1, API520_KSH_tck)) # Kw, for liquids. Applicable for all overpressures. Kw_x = [15., 16.5493, 17.3367, 18.124, 18.8235, 19.5231, 20.1351, 20.8344, 21.4463, 22.0581, 22.9321, 23.5439, 24.1556, 24.7674, 25.0296, 25.6414, 26.2533, 26.8651, 27.7393, 28.3511, 28.9629, 29.6623, 29.9245, 30.5363, 31.2357, 31.8475, 32.7217, 33.3336, 34.0329, 34.6448, 34.8196, 35.4315, 36.1308, 36.7428, 37.7042, 38.3162, 39.0154, 39.7148, 40.3266, 40.9384, 41.6378, 42.7742, 43.386, 43.9978, 44.6098, 45.2216, 45.921, 46.5329, 47.7567, 48.3685, 49.0679, 49.6797, 50.] Kw_y = [1, 0.996283, 0.992565, 0.987918, 0.982342, 0.976766, 0.97119, 0.964684, 0.958178, 0.951673, 0.942379, 0.935874, 0.928439, 0.921933, 0.919145, 0.912639, 0.906134, 0.899628, 0.891264, 0.884758, 0.878253, 0.871747, 0.868959, 0.862454, 0.855948, 0.849442, 0.841078, 0.834572, 0.828067, 0.821561, 0.819703, 0.814126, 0.806691, 0.801115, 0.790892, 0.785316, 0.777881, 0.771375, 0.76487, 0.758364, 0.751859, 0.740706, 0.734201, 0.727695, 0.722119, 0.715613, 0.709108, 0.702602, 0.69052, 0.684015, 0.677509, 0.671004, 0.666357] def API520_W(Pset, Pback): r'''Calculates capacity correction due to backpressure on balanced spring-loaded PRVs in liquid service. For pilot operated valves, this is always 1. Applicable up to 50% of the percent gauge backpressure, For use in API 520 relief valve sizing. 1D interpolation among a table with 53 backpressures is performed. Parameters ---------- Pset : float Set pressure for relief [Pa] Pback : float Backpressure, [Pa] Returns ------- KW : float Correction due to liquid backpressure [-] Notes ----- If the calculated gauge backpressure is less than 15%, a value of 1 is returned. Examples -------- Custom example from figure 31: >>> API520_W(1E6, 3E5) # 22% overpressure 0.9511471848008564 References ---------- .. [1] API Standard 520, Part 1 - Sizing and Selection. ''' gauge_backpressure = (Pback-atm)/(Pset-atm)*100.0 # in percent if gauge_backpressure < 15.0: return 1.0 return interp(gauge_backpressure, Kw_x, Kw_y) # Kb Backpressure correction factor, for gases Kb_16_over_x = [37.6478, 38.1735, 38.6991, 39.2904, 39.8817, 40.4731, 40.9987, 41.59, 42.1156, 42.707, 43.2326, 43.8239, 44.4152, 44.9409, 45.5322, 46.0578, 46.6491, 47.2405, 47.7661, 48.3574, 48.883, 49.4744, 50.0] Kb_16_over_y = [0.998106, 0.994318, 0.99053, 0.985795, 0.982008, 0.97822, 0.973485, 0.96875, 0.964962, 0.961174, 0.956439, 0.951705, 0.947917, 0.943182, 0.939394, 0.935606, 0.930871, 0.926136, 0.921402, 0.918561, 0.913826, 0.910038, 0.90625] Kb_10_over_x = [30.0263, 30.6176, 31.1432, 31.6689, 32.1945, 32.6544, 33.18, 33.7057, 34.1656, 34.6255, 35.0854, 35.5453, 36.0053, 36.4652, 36.9251, 37.385, 37.8449, 38.2392, 38.6334, 39.0276, 39.4875, 39.9474, 40.4074, 40.8016, 41.1958, 41.59, 42.0499, 42.4442, 42.8384, 43.2326, 43.6925, 44.0867, 44.4809, 44.8752, 45.2694, 45.6636, 46.0578, 46.452, 46.8463, 47.2405, 47.6347, 48.0289, 48.4231, 48.883, 49.2773, 49.6715] Kb_10_over_y = [0.998106, 0.995265, 0.99053, 0.985795, 0.981061, 0.975379, 0.969697, 0.963068, 0.957386, 0.950758, 0.945076, 0.938447, 0.930871, 0.925189, 0.918561, 0.910985, 0.904356, 0.897727, 0.891098, 0.883523, 0.876894, 0.870265, 0.862689, 0.856061, 0.848485, 0.840909, 0.83428, 0.827652, 0.820076, 0.8125, 0.805871, 0.798295, 0.79072, 0.783144, 0.775568, 0.768939, 0.762311, 0.754735, 0.747159, 0.739583, 0.732008, 0.724432, 0.716856, 0.70928, 0.701705, 0.695076] def API520_B(Pset, Pback, overpressure=0.1): r'''Calculates capacity correction due to backpressure on balanced spring-loaded PRVs in vapor service. For pilot operated valves, this is always 1. Applicable up to 50% of the percent gauge backpressure, For use in API 520 relief valve sizing. 1D interpolation among a table with 53 backpressures is performed. Parameters ---------- Pset : float Set pressure for relief [Pa] Pback : float Backpressure, [Pa] overpressure : float, optional The maximum fraction overpressure; one of 0.1, 0.16, or 0.21, [-] Returns ------- Kb : float Correction due to vapor backpressure [-] Notes ----- If the calculated gauge backpressure is less than 30%, 38%, or 50% for overpressures of 0.1, 0.16, or 0.21, a value of 1 is returned. Percent gauge backpressure must be under 50%. Examples -------- Custom examples from figure 30: >>> API520_B(1E6, 5E5) 0.7929945420944432 References ---------- .. [1] API Standard 520, Part 1 - Sizing and Selection. ''' gauge_backpressure = (Pback-atm)/(Pset-atm)*100.0 # in percent if overpressure not in (0.1, 0.16, 0.21): raise ValueError('Only overpressure of 10%, 16%, or 21% are permitted') if (overpressure == 0.1 and gauge_backpressure < 30.0) or ( overpressure == 0.16 and gauge_backpressure < 38.0) or ( overpressure == 0.21 and gauge_backpressure <= 50.0): return 1.0 elif gauge_backpressure > 50.0: raise ValueError('Gauge pressure must be < 50%') if overpressure == 0.16: Kb = interp(gauge_backpressure, Kb_16_over_x, Kb_16_over_y) elif overpressure == 0.1: Kb = interp(gauge_backpressure, Kb_10_over_x, Kb_10_over_y) return Kb def API520_A_g(m, T, Z, MW, k, P1, P2=101325, Kd=0.975, Kb=1, Kc=1): r'''Calculates required relief valve area for an API 520 valve passing a gas or a vapor, at either critical or sub-critical flow. For critical flow: .. math:: A = \frac{m}{CK_dP_1K_bK_c}\sqrt{\frac{TZ}{M}} For sub-critical flow: .. math:: A = \frac{17.9m}{F_2K_dK_c}\sqrt{\frac{TZ}{MP_1(P_1-P_2)}} Parameters ---------- m : float Mass flow rate of vapor through the valve, [kg/s] T : float Temperature of vapor entering the valve, [K] Z : float Compressibility factor of the vapor, [-] MW : float Molecular weight of the vapor, [g/mol] k : float Isentropic coefficient or ideal gas heat capacity ratio [-] P1 : float Upstream relieving pressure; the set pressure plus the allowable overpressure, plus atmospheric pressure, [Pa] P2 : float, optional Built-up backpressure; the increase in pressure during flow at the outlet of a pressure-relief device after it opens, [Pa] Kd : float, optional The effective coefficient of discharge, from the manufacturer or for preliminary sizing, using 0.975 normally or 0.62 when used with a rupture disc as described in [1]_, [] Kb : float, optional Correction due to vapor backpressure [-] Kc : float, optional Combination correction factor for installation with a ruture disk upstream of the PRV, [] Returns ------- A : float Minimum area for relief valve according to [1]_, [m^2] Notes ----- Units are interlally kg/hr, kPa, and mm^2 to match [1]_. Examples -------- Example 1 from [1]_ for critical flow, matches: >>> API520_A_g(m=24270/3600., T=348., Z=0.90, MW=51., k=1.11, P1=670E3, Kb=1, Kc=1) 0.0036990460646834414 Example 2 from [1]_ for sub-critical flow, matches: >>> API520_A_g(m=24270/3600., T=348., Z=0.90, MW=51., k=1.11, P1=670E3, P2=532E3, Kd=0.975, Kb=1, Kc=1) 0.004248358775943481 The mass flux in (kg/(s*m^2)) can be found by dividing the specified mass flow by the calculated area: >>> (24270/3600.)/API520_A_g(m=24270/3600., T=348., Z=0.90, MW=51., k=1.11, P1=670E3, Kb=1, Kc=1) 1822.541960488834 References ---------- .. [1] API Standard 520, Part 1 - Sizing and Selection. ''' P1, P2 = P1/1000., P2/1000. # Pa to Kpa in the standard m = m*3600. # kg/s to kg/hr if is_critical_flow(P1, P2, k): C = API520_C(k) A = m/(C*Kd*Kb*Kc*P1)*sqrt(T*Z/MW) else: F2 = API520_F2(k, P1, P2) A = 17.9*m/(F2*Kd*Kc)*sqrt(T*Z/(MW*P1*(P1-P2))) return A*0.001**2 # convert mm^2 to m^2 def API520_A_steam(m, T, P1, Kd=0.975, Kb=1, Kc=1): r'''Calculates required relief valve area for an API 520 valve passing a steam, at either saturation or superheat but not partially condensed. .. math:: A = \frac{190.5m}{P_1 K_d K_b K_c K_N K_{SH}} Parameters ---------- m : float Mass flow rate of steam through the valve, [kg/s] T : float Temperature of steam entering the valve, [K] P1 : float Upstream relieving pressure; the set pressure plus the allowable overpressure, plus atmospheric pressure, [Pa] Kd : float, optional The effective coefficient of discharge, from the manufacturer or for preliminary sizing, using 0.975 normally or 0.62 when used with a rupture disc as described in [1]_, [] Kb : float, optional Correction due to vapor backpressure [-] Kc : float, optional Combination correction factor for installation with a rupture disk upstream of the PRV, [] Returns ------- A : float Minimum area for relief valve according to [1]_, [m^2] Notes ----- Units are interlally kg/hr, kPa, and mm^2 to match [1]_. With the provided temperature and pressure, the KN coefficient is calculated with the function API520_N; as is the superheat correction KSH, with the function API520_SH. Examples -------- Example 4 from [1]_, matches: >>> API520_A_steam(m=69615/3600., T=592.5, P1=12236E3, Kd=0.975, Kb=1, Kc=1) 0.0011034712423692733 References ---------- .. [1] API Standard 520, Part 1 - Sizing and Selection. ''' KN = API520_N(P1) KSH = API520_SH(T, P1) P1 = P1/1000. # Pa to kPa m = m*3600. # kg/s to kg/hr A = 190.5*m/(P1*Kd*Kb*Kc*KN*KSH) return A*0.001**2 # convert mm^2 to m^2 fluids-1.0.22/fluids/py.typed0000644000175000017500000000000214302004506015357 0ustar nileshnilesh fluids-1.0.22/fluids/separator.pyi0000644000175000017500000000076714302004506016425 0ustar nileshnilesh# DO NOT EDIT - AUTOMATICALLY GENERATED BY tests/make_test_stubs.py! from __future__ import annotations from typing import List def K_Sounders_Brown_theoretical(D: float, Cd: float, g: float = ...) -> float: ... def K_separator_Watkins(x: float, rhol: float, rhog: float, horizontal: bool = ..., method: str = ...) -> float: ... def K_separator_demister_York(P: float, horizontal: bool = ...) -> float: ... def v_Sounders_Brown(K: float, rhol: float, rhog: float) -> float: ... __all__: List[str]fluids-1.0.22/SECURITY.md0000644000175000017500000000073414302004506014177 0ustar nileshnilesh# Security Policy This project doesn't really do anything that could be a security issue. It is simply a library. Using it is left to the user. ## Supported Versions The development of fluids is linear at this time; upgrade fluids to the latest version to obtain any security fixes, in the event that there ever are any. ## Reporting a Vulnerability If you believe there is a security vulnerability in this project, please email the author at Caleb.Andrew.Bell@gmail.com fluids-1.0.22/py.typed0000644000175000017500000000000214302004506014071 0ustar nileshnilesh