Two Phase Fluid Flow Churchill Flow


Overview

Device
Data


Sheet 1: Device

Two Phase Flow Calculator
Calculate A:
Calculate B:



















Input Characteristics of System:








AL= 4,47E+17

BL = 6,60E+19










AG = 1,31E+06

BG = 1,23E+52
Diameter of Bore Tube D = 0,1 m Note: Anaylsis assumes the accelerational pressure drop is small and the gravitational pressure gradient is zero.


ALO= 8,24E+17

BLO = 1,86E+18
Mass Flux G = 30 kg/(m2*s)


AGO = 2,61E+12

BGO= 8,04E+40
Quality x = 0,2
Liquid fluid must be less viscous than gas fluid.









Surface Tension s = 8,1 mN/m












Roughness Factor e = 0 m





























Liquid Phase Gas Phase

























Flow Characteristics


Flow Characteristics











Inlet Temperature Tin = 15 C Inlet Temperature Tin = 15 C








Outlet Temperature Tout = 15 C Outlet Temperature Tout = 15 C








Mean Temperature Tmean = 288,15 K Mean Temperature Tmean = 288,15 K

























Fluid


Fluid












k = 0,60 W/mK
k = 0,15 W/mK









Cp = 4081,89 J/(kg K)
Cp = 1767,82 J/(kg K)









m = 0,001108 Pa s
m = 0,028795 Pa s









r = 998,78 kg/m3
r = 972,03 kg/m3









Pr = 7,58

Pr = 340,55


























Calculate Equivalent Reynolds Numbers:


Calculate Friction Factors (Churchill Model):





























ReL = 2,17E+03

fL= 0,00754










ReG = 2,08E+01

fG = 0,76788










ReLO = 2,71E+03

fLO= 0,00994










ReGO= 1,04E+02

fGO = 0,15358


























Calculate Equivalent Pressure Gradients:


Calculate Parameters X and Y:





























-(dpF/dz)L = 0,09 Pa/m
X = 0,391










-(dpF/dz)G = 0,57 Pa/m
Y = 3,984










-(dpF/dz)LO = 0,18 Pa/m













-(dpF/dz)GO = 2,84 Pa/m





























Calculate Two-Phase Frictional Pressure Gradients:
































Lockhart-Martinelli Correlation















































C = 5














f2L = 20,32














-(dpF)/(dz) = 1,77 Pa/m





























Friedel Correlation






























E = 1,275














F = 0,270














H = #NUM!














rTP = 993,31 kg/m3













Fr = 0,00














We = 11,19














f2LO = #NUM!














(dpF/dz) = #NUM! Pa/m





























Chisholm Correlations






























B = 10,04














n = 0,25














f2LO = 31,93














-(dpF/dz) = 5,72 Pa/m














Sheet 2: Data

Fluid k (W/mK) Cp (J/kgK) m (kg/ms) r (kg/m3) Pr T
none




288,15
Engine Oil 5w30 0,144899625189563 1862,89033365793 0,125617588744846 890,068138683021 1614,9923887246
Transmission Oil (Type-F) 0,131680927484371 1868,50942838078 0,244256437248778 868,500925367563 3465,91920835466
Diesel Fuel 0,137643445936855 1885,31248315381 0,00304858437143 845,189125520978 41,7566861413963
Kerosene 0,171000533122516 1952,64110363651 0,00304858437143 883,552914381006 34,8115356300912
Marlotherm S 0,13177319601222 1549,16598246237 0,081596702670032 1032,20311788881 959,27578508293
Water 0,59678382111958 4081,88866400533 0,001108042989574 998,781566456389 7,57880485078537
Ethylene Glycol 0,248166549138073 2364,35272269191 0,027024963929992 1119,15437359412 257,47445524166
Air 0,025371673066888 1006,78538578541 1,79168474457579E-05 1,20925735929823 0,71096691653643
Freon 114 0,066812629182659 987,74731425578 0,000413488245047 1515,83710285612 6,11294464112902
CO2 0,015842284992718 839,743744673336 1,4407504758098E-05 1,83935634689518 0,763691096487975
Gasoline 0,186297964208679 2017,93268603334 0,00071547100668 760,879270354366 7,74980197138656
Ethylene Glycol 30% 0,480081844845042 3697,99566954511 0,002551163184562 1040,13931572354 19,6512126215824
Ethylene Glycol 50% 0,42121839289613 3277,66927572646 0,004442883197896 1059,04216405533 34,5718563077448
Transmission Oil (Type-H) 0,131680927484371 1868,50942838078 0,144076401367042 868,500925367563 2044,39716141461
Transmission Oil (Type-B) 0,131680927484371 1868,50942838078 0,115185800725734 868,500925367563 1634,44895766828
Exxon 2389 (jet engine oil) 0,149479410456478 1767,82187834931 0,028795376236032 972,029293744401 340,549216443278
7





17





Fluid k (W/mK) Cp (J/kgK) m (kg/ms) r (kg/m3) Pr T
none




288,15
Engine Oil 5w30 0,144899625189563 1862,89033365793 0,125617588744846 890,068138683021 1614,9923887246
Transmission Oil (Type-F) 0,131680927484371 1868,50942838078 0,244256437248778 868,500925367563 3465,91920835466
Diesel Fuel 0,137643445936855 1885,31248315381 0,00304858437143 845,189125520978 41,7566861413963
Kerosene 0,171000533122516 1952,64110363651 0,00304858437143 883,552914381006 34,8115356300912
Marlotherm S 0,13177319601222 1549,16598246237 0,081596702670032 1032,20311788881 959,27578508293
Water 0,59678382111958 4081,88866400533 0,001108042989574 998,781566456389 7,57880485078537
Ethylene Glycol 0,248166549138073 2364,35272269191 0,027024963929992 1119,15437359412 257,47445524166
Air 0,025371673066888 1006,78538578541 1,79168474457579E-05 1,20925735929823 0,71096691653643
Freon 114 0,066812629182659 987,74731425578 0,000413488245047 1515,83710285612 6,11294464112902
CO2 0,015842284992718 839,743744673336 1,4407504758098E-05 1,83935634689518 0,763691096487975
Gasoline 0,186297964208679 2017,93268603334 0,00071547100668 760,879270354366 7,74980197138656
Ethylene Glycol 30% 0,480081844845042 3697,99566954511 0,002551163184562 1040,13931572354 19,6512126215824
Ethylene Glycol 50% 0,42121839289613 3277,66927572646 0,004442883197896 1059,04216405533 34,5718563077448
Transmission Oil (Type-H) 0,131680927484371 1868,50942838078 0,144076401367042 868,500925367563 2044,39716141461
Transmission Oil (Type-B) 0,131680927484371 1868,50942838078 0,115185800725734 868,500925367563 1634,44895766828
Exxon 2389 (jet engine oil) 0,149479410456478 1767,82187834931 0,028795376236032 972,029293744401 340,549216443278
16






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