Two Phase Flow Calculator Calculate A: Calculate B:

Input Characteristics of System: 2.33E+17 8.50E+97

2.13E+21 1.02E-08

Diameter of Bore Tube D = 0.0221 m 9.39E+17 8.50E+17

Mass Flux G = 100 2.13E+21 1.02E-08

Quality x = 0.99999 Liquid fluid must be less viscous than gas fluid.

Surface Tension 8.1 mN/m

Roughness Factor 0 m

Liquid Phase Gas Phase

Flow Characteristics Flow Characteristics

Inlet Temperature 30 C Inlet Temperature 30 C

Outlet Temperature 30 C Outlet Temperature 30 C

Mean Temperature 303.15 K Mean Temperature 303.15 K

Fluid Fluid

0.62 W/mK 0.03 W/mK

4070.18 J/(kg K) 1007.09 J/(kg K)

0.000777 Pa s 0.000019 Pa s

995.18 1.15

Pr = 5.11 Pr = 0.71

Calculate Equivalent Reynolds Numbers: Calculate Friction Factors (Churchill Model):

2.84E-02 562.77033

1.19E+05 0.00431

2.84E+03 0.01046

1.19E+05 0.00431

Calculate Equivalent Pressure Gradients: Calculate Parameters X and Y:

0.00 Pa/m X = 0.000

3400.07 Pa/m Y = 18.908

9.51 Pa/m

3400.13 Pa/m

Calculate Two-Phase Frictional Pressure Gradients:

Lockhart-Martinelli Correlation

C = 12

66536705.82

3405.08 Pa/m

Friedel Correlation

E = 357.497

F = 0.063

H = 228.18

1.15

Fr = 34982.02

We = 23760.76

377.971

3594.79 Pa/m

Chisholm Correlations

B = 2.75

n = 0.25

357.54

3400.47 Pa/m

AL= BL =

AG = BG =

Note: Anaylsis assumes the accelerational pressure drop is small and the gravitational pressure gradient is zero.

ALO= BLO =

kg/(m2*s) AGO = BGO=

s =

e =

Tin = Tin =

Tout = Tout =

Tmean = Tmean =

k = k =

Cp = Cp =

m = m =

r = kg/m3 r = kg/m3

ReL = fL=

ReG = fG =

ReLO = fLO=

ReGO= fGO =

-(dpF/dz)L =

-(dpF/dz)G =

-(dpF/dz)LO =

-(dpF/dz)GO =

f2L =

-(dpF)/(dz) =

rTP = kg/m3

f2LO =

(dpF/dz) =

f2LO =

-(dpF/dz) =

Fluid Pr noneEngine Oil 5w30 0.143442144 1924.8646455869 0.0719791834 881.3529 965.8959423Transmission Oil (Type-F) 0.130416321 1923.5665386496 0.0702227397 858.291 1035.745461Diesel Fuel 0.136520612 1939.9307381177 0.0021488999 834.7015 30.53544022Kerosene 0.169601776 2020.8663541881 0.0021488999 873.8084 25.60491765Marlotherm S 0.130062189 1605.2689072987 0.0278849741 1021.548 344.1652193Water 0.619413923 4070.1827321025 0.0007773265 995.1831 5.107829943Ethylene Glycol 0.25319303 2430.7736495121 0.0141341157 1108.641 135.6942411Air 0.026535025 1007.0895844849 1.864876E-05 1.148266 0.707780402Freon 114 0.062914308 1023.313460558 0.0003455418 1480.54 5.620304025

0.016989543 855.60321710663 1.504277E-05 1.74754 0.757562791Gasoline 0.18462027 2086.1791953906 0.0005981755 744.8904 6.759286361Ethylene Glycol 30% 0.489550044 3745.5503938594 0.0016228404 1032.33 12.41636167Ethylene Glycol 50% 0.434044829 3307.9562681185 0.0029362882 1050.395 22.37813317Transmission Oil (Type-H) 0.130416321 1923.5665386496 0.059545829 858.291 878.2671025Transmission Oil (Type-B) 0.130416321 1923.5665386496 0.0520835474 858.291 768.2026939Exxon 2389 (jet engine oil) 0.148090971 1823.3751130174 0.0154110833 961.8824 189.7494868

79

Fluid Pr noneEngine Oil 5w30 0.143442144 1924.8646455869 0.0719791834 881.3529 965.8959423Transmission Oil (Type-F) 0.130416321 1923.5665386496 0.0702227397 858.291 1035.745461Diesel Fuel 0.136520612 1939.9307381177 0.0021488999 834.7015 30.53544022Kerosene 0.169601776 2020.8663541881 0.0021488999 873.8084 25.60491765Marlotherm S 0.130062189 1605.2689072987 0.0278849741 1021.548 344.1652193Water 0.619413923 4070.1827321025 0.0007773265 995.1831 5.107829943Ethylene Glycol 0.25319303 2430.7736495121 0.0141341157 1108.641 135.6942411Air 0.026535025 1007.0895844849 1.864876E-05 1.148266 0.707780402Freon 114 0.062914308 1023.313460558 0.0003455418 1480.54 5.620304025

0.016989543 855.60321710663 1.504277E-05 1.74754 0.757562791Gasoline 0.18462027 2086.1791953906 0.0005981755 744.8904 6.759286361Ethylene Glycol 30% 0.489550044 3745.5503938594 0.0016228404 1032.33 12.41636167Ethylene Glycol 50% 0.434044829 3307.9562681185 0.0029362882 1050.395 22.37813317Transmission Oil (Type-H) 0.130416321 1923.5665386496 0.059545829 858.291 878.2671025Transmission Oil (Type-B) 0.130416321 1923.5665386496 0.0520835474 858.291 768.2026939Exxon 2389 (jet engine oil) 0.148090971 1823.3751130174 0.0154110833 961.8824 189.7494868

16

k (W/mK) Cp (J/kgK) m (kg/ms) r (kg/m3)

CO2

k (W/mK) Cp (J/kgK) m (kg/ms) r (kg/m3)

CO2

T303.15

T303.15