Page 301 - Formulas and Calculations for Petroleum Engineering

294 Formulas and calculations for petroleum engineering

L: Length (m)
Re: Reynold Number (dimensionless)
Pr: Prandtl Number (dimensionless)

Output(s)
Gz: Graetz Number (dimensionless)

Formula(s)

Pr
Gz ¼ DH Re
L

Reference: Wikipedia.org.

5.84 Graham equation viscosity ratio

Input(s)
ø: Volume Fraction (dimensionless)
C: Stream Function (dimensionless)

Output(s)

m r : Graham Equation Viscosity Ratio (dimensionless)

Formula(s)

!
5 9 1
m ¼ 1+ ø+
r 2
2 4 C 1+ 0:5 CÞ 1+ CÞ
ð
ð
Reference: Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second ed.). John Wiley & Sons.
Chapter: 1, Page: 33.

5.85 Grash of number

Input(s)
2
g: Acceleration Due to Earth (m/s )
b: Volumetric Thermal Expansion Coefficient (1/K)
T 1 : Surface Temperature (K)
T o : Bulk Temperature (K)
I o : Diameter (m)
2
v: Kinematic Viscosity (m /s)

Output(s)

Gr: Grash of Number (dimensionless)