Page 254 - Introduction to chemical reaction engineering and kinetics

Table 9.1 SCM: Summary of t(fa) for various shapes of particle’

Particle Size f~ (size
shape parameters parameters) t(fB)

flat plate length l-i PBmLfB
(one face 1 (of zone bCAg
permeable) unreacted)
L (of
particle)

2
cylinder radius l- !$ + it- fB +(I -fB)h(l - fB) + L 1 -(I -fB)l'*
(ends r, (of core 0 fi$(& ,D,[ ] kh[ ]]
unreacted)
R (of
particle)
0
1 [
sphere same as for l- !$ 3 1 - 3(1 - fB)u3 + 2(1 - fB) + & 1 -(I - fB>'" II
cylinder
(9.1-28)

1 Reaction: A(g k bB(s) -) product (s),(g)]; first order with respect to A at core surface.
Particle(B): constant-size (L, R constant); isothermal.
For tl (time for complete reaction of particle), set fa = 1; [(l - fa) ln(1 - fa) + 01.
Symbols: see text and Nomenclature.

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