Page 312 - Formulas and Calculations for Petroleum Engineering

Fluid flow and transport phenomena formulas and calculations Chapter 5 305

Formula(s)

ð p p Þ R 2
o
L
v ¼
zmax
4 m L
Reference: Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons,
Chapter: 2, Page: 51.

5.110 Maximum-velocity V -maximum of a falling film
z
Input(s)

3
r: Density (kg/m )
2
g: Gravitational Acceleration (m/s )
d: Film Thickness (m)
mu: Viscosity (kg/(ms))
b: Angle of inclination w.r.t direction of gravity (rad)

Output(s)

vz: Maximum Velocity (m/s)

Formula(s)

2
r g d cos bðÞ
vz ¼
2 m

Reference: Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons,
Page: 45.

5.111 Method for separating helium from natural gas

Input(s)
2
D AB : Diffusivity of Helium and Natural gas (cm /s)
c He1 : Concentration of Helium (g/s)
c He2 : Concentration of Natural gas (g/s)
R 2 : Outer Radius (cm)
R 1 : Inner Radius (cm)
L: Length (cm)

Output(s)
W He : Mass Flux (g/cm)

Formula(s)

D AB c ð He1 c He2 Þ
W He ¼ 2 p L R
ln 2
R
1

Reference: Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons,
Chapter: 18, Page: 573.