Page 282 - Formulas and Calculations for Petroleum Engineering

Fluid flow and transport phenomena formulas and calculations Chapter 5 275

5.39 Diffusion, convection, and chemical reaction

Input(s)
k 1 : Homogeneous Chemical Reaction Rate Coefficient (1/s)
2
D AB : Diffusivity (cm /s)
v o : Velocity (cm/s)
c AO : Fraction of Initial Concentration (dimensionless)
z: Vertical Distance (cm)

Output(s)
c A : Fraction of Initial Concentration remaining (dimensionless)

Formula(s)

! !
0:5
4 k D AB v z
o
1
c ¼ ð c Þ exp 1+ 1
A AO 2
v 2 D
o AB
Reference: Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons,
Chapter: 19, Page: 586.
5.40 Drag coefficient

Input(s)
3
r: Mass Density of the Fluid (kg/m )
u: Flow Speed of the Object Relative to the Fluid (m/s)
F d : Drag Force (N)
2
A: Cross Sectional Area (m )

Output(s)
c d : Drag Coefficient (dimensionless)

Formula(s)

2 F d
c ¼
d
2
r u A
Reference: Wikipedia.org.

5.41 Drag force

Input(s)
3
r: Density of the Fluid (kg/m )
v: Speed of the Object Relative to the Fluid (m/s)
C d : Drag Coefficient (dimensionless)
2
A: Cross Sectional Area (m )