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Else_AIEC-INGLE_cH003.qxd 7/13/2006 1:45 PM Page 142
142 3. Heterogeneous Processes and Reactor Analysis

where

 Axial 
   C   C 
 Dispersion  outlet-inlet  DA L  DA L 

 Term   z W    z E 


Flow  (3.274)
  outlet-inlet QC ( W QC ) ( E E )
 Term 
The reaction is considered to take place only on or within the solid particles and thus the
consumption rate per unit volume of particles is
( m r ) (3.275)
p
The volume of particles in the control element is

)
(1 A z (3.276)
Thus,
 rate 
 
 of  A (1 ( p r ) m (3.277)
)
z
 
 consumption 
The accumulation of moles in the liquid phase is

C C
E W (3.278)
t
The units of this term are moles per unit time per unit volume of fluid phase. The v olume
of the fluid phase in the control element is

z (3.279)
A
and thus
 rate of 
  C
C
accumulation   A z E W (3.280)
 of mole s  t


The material balance becomes

 C   C 
  DA L z W QC W   A   L z E QC E   (3.281)
D
A z ( r ) A z C ( E C W )
(1
)
p m
t