Page 270 - Formulas and Calculations for Petroleum Engineering

Fluid flow and transport phenomena formulas and calculations Chapter 5 263

Output(s)

2
g r : Reduced Acceleration due to Gravity (m/s )

Formula(s)

2
r r 1
g ¼ g
r
r
Reference: Wikipedia.org.

5.11 Brinkman number

Input(s)
m: Viscosity (Pa s)
v b : Velocity at Outer Perimeter (cm/s)
k: Thermal Conductivity (W/cm K)
T b : Temperature at Outer Perimeter (K)
T o : Temperature at Inner Perimeter (K)

Output(s)

Br: Brinkman Number (dimensionless)

Formula(s)

v 2 b
Br ¼ m
k T T Þ
ð
b o
Reference: Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons,
Chapter: 10, Page: 300.

5.12 Buckingham Reiner equation

Input(s)
P o : Input Pressure (psi)
P L : Output Pressure (psi)
R: Radius (ft)
r: Density of Fluid (ppg)
m: Viscosity of Fluid (cP)
L: Length (ft)
τ o : Torque (psi)

Output(s)
τ R : Shear Stress at the Tube Wall (psi)
Q: Mass Flow Rate (lb/s)