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Fluid flow and transport phenomena formulas and calculations Chapter 5 293

5.81 Gas absorption with rapid reaction

Input(s)
3
c: Concentration (mol/cm )
g: Adiabatic Constant (dimensionless)
2
D AS : Diffusivity (cm /s)
t: Time (s)

Output(s)

N AZO : Rate of Absorption (cc/s)

Formula(s)

0 1
!
c D AS
B C 0:5
N B C
C
AZO ¼ B 0:5
@ g A p t
erf
D
AS
Reference: Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons,
Chapter: 20, Page: 618.
5.82 Gas mass rate flow in compressible tube flow
Input(s)

m: Molecular Mass (g)
4
k: Boltzmann (W/cm K )
T: Temperature (K)
P o : Input Pressure (psi)
P L : Output Pressure (psi)
R: Radius (cm)
L: Length (cm)

Output(s)

w: Mass Rate (g/cm)

Formula(s)

!
0:5
2 m 4 3 P P L
o
w ¼ p R
p k T 3 L
Reference: Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons,
Chapter: 2, Page: 66.

5.83 Graetz number
Input(s)

DH: Diameter in Round Tubes or Hydraulic Diameter in Arbitrary Cross-section Ducts (m)