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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
344 Green Chemical Engineering
dC
dr
e
rrr
A
mr
2
22
3
2
=−+
mm
2
2
(4.161)
Substituting Equations 4.159, 4.160 and 4.161 for C
A
, dC
A
/dr and d
2
C
A
/dr
2
, respectively,
into Equation 4.157, we get
e
rrrr
e
rr
e
r
mr mr
mr
m
m
m
2
2
−+
+−
−=
23 2
22 1
0
α
which on cancellation of terms reduces to
e
r
mr
()
m
2
−=
α 0
Thus, Equation 4.159 is a solution to the second-order differential Equation 4.157 for
m
α. Hence, the general solution to Equation 4.157 can be written as
C
A
r
e
A
r
e
A
kD Rr
Rk
DR
rR
pA pA
=+
()
()
12
(/)/ (/
)/ρρ
(4.162)
Dening the Thiele modulus
Φ=
RkD
pA
ρ
/,
Equation 4.162 can be written in terms of
Φ as
CA
e
r
A
e
r
A
rR rR
=+
12
ΦΦ
(/
)(/)
(4.163)
The denition of the Thiele mod ...
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Publisher Resources

ISBN: 9781466558830