Page 304 - Formulas and Calculations for Petroleum Engineering

Fluid flow and transport phenomena formulas and calculations Chapter 5 297

Output(s)

m r : Krieger Dougherty Equation Viscosity Ratio (fraction)

Formula(s)

ø
ð A * ø max Þ
m ¼ 1
r
ø max
Reference: Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons,
Chapter: 1, Page: 33.

5.91 Laminar flow along a flat plate (approximate solution)

Input(s)
v∞: Fluid Velocity (ft/s)
L: Length of Plate (ft)
W: Width of Plate (ft)
r: Density of Fluid (g/cc)
m: Viscosity (cP)

Output(s)
F x : Momentum Flux (psi)

Formula(s)

2 3 0:5
F ¼ 1:293 r m L W v
x ∞
Reference: Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons,
Chapter: 4, Page: 137.

5.92 Laminar flow of an incompressible power-law fluid in a circular tube
Input(s)

r: Density of Fluid (g/cc)
P o : Input Pressure (Pa)
P L : Output Pressure (Pa)
R: Radius of Tube (cm)
L: Length of Tube (cm)
m: Power Law Constant (dimensionless)
n: Power Law Constant 2 (dimensionless)

Output(s)

w: Mass Rate (g/s)