Page 281 - Formulas and Calculations for Petroleum Engineering

274 Formulas and calculations for petroleum engineering

Formula(s)

s 2
D ¼
8 p t

Reference: Ahmed, T., Paul McKinney, P. D. 2005. Advanced Reservoir Engineering, Gulf Publishing of Elsevier,
Chapter:3 Page: 233.

5.37 Diffusion with a heterogeneous chemical reaction

Input(s)
2
D AB : Diffusivity (ft /s)
d: Position of Catalytic Film (cm)
3
x a : Main Stream Concentration (mol/ft )
3
c: Total Molar Concentration (mol/ft )

Output(s)
2
N: Molar Flux (mol/ft s)

Formula(s)

2 c D AB 1
N ¼ ln
1 0:5 x
d a
Reference: Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons,
Chapter: 18, Page: 553.

5.38 Diffusion with a homogeneous chemical reaction

Input(s)
k: Rate Constant (mol cm/s)
L: Length (cm)
D AB : Diffusivity (cm cm/s)
3
c: Total Molar Concentration (mol/ft )

Output(s)

ø: Thiele Modulus (dimensionless)
2
N: Molar Flux (mol L/cm )

Formula(s)

0:5

k L
2
ø ¼
D
AB

c D AB
N ¼ ø tanh pðÞ
L
Reference: Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons,
Chapter: 18, Page: 555.