Page 310 - Formulas and Calculations for Petroleum Engineering

Fluid flow and transport phenomena formulas and calculations Chapter 5 303

5.105 Mass transfer for creeping flow around a gas bubble

Input(s)
2
D AB : Diffusivity (cm /s)
v ∞ : Velocity (cm/s)
D: Diameter of Bubble (cm)
C AO : Concentration (g mol/cm)

Output(s)
2
N AOavg : Molar Flux Average (mol/cm s)

Formula(s)

0:5 !
4 D AB v ∞

N AOavg ¼ C AO
3 p D
Reference: Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons,
Chapter: 20, Page: 637.

5.106 Mass transfer to drops and bubbles
Input(s)

s: Interfacial Tension (N)
D: Diameter (cm)
r d : Density of Drops (g/cc)
r c : Density of Continuous Medium (g/cc)

Output(s)

v: Angular Frequency of Oscillation (rad/s)

Formula(s)

0 1
! 0:5
192 s
o ¼ @ 3 A
D 3 r +2 rð Þ
d c
Reference: Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons,
Chapter: 22, Page: 687.

5.107 Maximum flow rate (Vogel’s equation)

Input(s)

q: Tested Production Rate (stb/d)
P: Reservoir Pressure (psi)
P w : Tested Flowing Bottom Hole Pressure (psi)