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Green Chemical Engineering
book

Green Chemical Engineering

by S. Suresh, S. Sundaramoorthy
December 2014
Intermediate to advanced content levelIntermediate to advanced
541 pages
17h 38m
English
CRC Press
Content preview from Green Chemical Engineering
339Heterogeneous Reactors
where
D
A
: effective diffusivity of A through the solid slab
Consider a section of the catalyst pellet of thickness Δx at a distance x from the central
axis (x = 0).
Taking a steady-state balance of A across this section, we have
Rateof transfer
ofintothesection
Rateof transfer
A
=
+xx
of outofthesection
Rateof conversion
ofinthesect
AA
+
x
iion
(4.135)
SD
dC
dx
SD
dC
dx
kC Sx
A
A
xx
A
A
x
Ap
⋅=⋅+
+∆
∆ρ
(4.136)
Dividing the terms in the above equation by (Δx D
A
) and taking limits as Δx 0, we get
the second-order differential equation
dC
dx
kC
D
A
pA
A
2
2
0
−=
ρ
(4.137)
With boundary conditions dened at x = ± L and x = 0 as
At ; ...
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Publisher Resources

ISBN: 9781466558830