Page 302 - Formulas and Calculations for Petroleum Engineering

Fluid flow and transport phenomena formulas and calculations Chapter 5 295

Formula(s)

g b T T Þ l 3 o
ð
o
1
Gr ¼ 2
v
Reference: Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons,
Chapter: 11, Page: 355.

5.86 Hagen number

Input(s)
PG: Pressure Gradient (Pa/m)
3
r: Fluid Density (kg/m )
L: Characteristic Length (m)
2
v: Kinematic Viscosity (m /s)

Output(s)
Hg: Hagen Number (dimensionless)

Formula(s)

1 L 3
Hg ¼ PG
v 2
r
Reference: Wikipedia.org.

5.87 Hagen-Poiseuille equation
Input(s)

P o : Input Pressure (psi)
P L : Output Pressure (psi)
R: Radius (ft)
w: Mass rate of Flow (lb/s)
r: Density (ppg)
L: Length (ft)

Output(s)

m: Viscosity (cP)

Formula(s)

4

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