Page 292 - Formulas and Calculations for Petroleum Engineering

Fluid flow and transport phenomena formulas and calculations Chapter 5 285

5.62 Flow in a slit with uniform cross flow

Input(s)
B: Thickness (cm)
L: Length (cm)
W p : Width (cm)
v 0 : Cross-flow Velocity (cm/s)
r: Fluid Density (g/cc)
m: Viscosity (Pa s)
P O : Input Pressure (Pa)
P L : Output Pressure (Pa)

Output(s)
A: Constant (dimensionless)
w: Mass Flow Rate (g/s)

Formula(s)

o
B v r
A ¼
m
!
3
ð P P Þ B W 1 1 1
O L p
w ¼ +
m L A 2 A ð exp AðÞ 1Þ
Reference: Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons,
Chapter: 3, Page: 110.

5.63 Flow near a corner
Input(s)

c: Constant (dimensionless)
B: Velocity Gradient at a Surface (1/s)
x: Length (ft)

Output(s)
v e : External Flow Velocity (ft/s)

Formula(s)

B
v ¼ c x 2 B
e
Reference: Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons,
Chapter: 4, Page: 139.