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186 3. Heterogeneous Processes and Reactor Analysis

In the trickle flogime and in aqueous solutions, the Goto and Smith equation could w re
be used (Smith, 1981; F 1999; Singh , ogler et al. , 2004):

ka G   0.4 
 0.5
fg GL L L
7.8     (3.426)
D 
  D g 
g L L
CSG units are used in this equation.
In the trickle-flow regime and in organic solutions, the following equation can be used
(Fogler, 1999):

ka fg GL Re 0.25 
 0.5
16.8 L  L  (3.427)
D g Ga L 0.22  L D g 

where:
k a GL in s 1
fg
fusi
D g the molecular difvity of the diffusing component in the liquid-
phase, cm 2 /s
G L the superficial mass velocity of the liquid, (g/cm 2 s).
CSG units are used in this equation. Furthermore, Ga L is the Galileo number and Re L is
the particle Reynolds number based on the superficial liquid v elocity .

du psL L
Re (3.428)
L

L
3
d 2 g
Ga p L (3.429)
L 2

L
s Gas–liquid interfacial area in trickle-bed r eactor

A correlation has been gien by Charpentier (Perry and Green, 1999): v

a  P  1.2
GL 0.05 GL (3.430)
a u   a u  

where

6
)
a (1 (3.431)
u
d p
SI units should be used in this equation.