R. Aris, ON SHAPE FACTORS FOR IRREGULAR PARTICLES .1. THE STEADY-STATE PROBLEM- DIFFUSION AND REACTION (REPRINTED FROM CHEM-ENGNG-SCI, VOL 6, PG 262-268, 1957), Chemical Engineering Science, 50(24), 1995, pp. 3899-3903
The problem of heat or matter transfer for a bed of spherical particle
s has been fully solved by Amundson. In this paper we consider the mod
ifications which must be made in steady-state solution when the bed ma
y consist of irregularly shaped particles. Considering the case of dif
fusion limitation of a first-order reaction, it is shown that the resu
lts for all shapes will lie close together if the characteristic dimen
sion of the particle is taken to be upsilon(p)/s(x), the ratio of its
volume to its external surface area.