Page 299 - Formulas and Calculations for Petroleum Engineering

292 Formulas and calculations for petroleum engineering

5.79 Gas absorption through bubbles

Input(s)
2
D AB : Diffusivity (cm /s)
v t : Terminal Velocity (cm/s)
D: Diameter of Bubble (cm)
C A0 : Concentration (g mol/cm)

Output(s)
N a : Molar Flux (g mol/s)

Formula(s)

s ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi

4 D AB v t
N ¼ C
a A0
3 p D
Reference: Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons,
Chapter: 20, Page: 637.

5.80 Gas absorption with chemical reaction in an agitated tank
Input(s)

k 1 : Diffusion Rate (g mol/s)
L: Length (cm)
2
D AB : Diffusivity (cm /s)
V: Volume (cc)
2
S: Surface Area (cm )
d: Location of Catalytic Bed (fraction)

Output(s)
ø: Thiele Modulus (dimensionless)
N: Flux (g mol/s)

Formula(s)

0:5

k L
2
1
ø ¼
D
AB
0 0 11

ø B B 1 CC
N ¼ B cosh øðÞ B CC
sinh øðÞ @ @ V AA
cosh øðÞ + ø sinh øðÞ
d S
Reference: Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons,
Chapter: 18, Page: 557.