Zp. Lu et al., DIFFUSION, CONVECTION, AND REACTION IN CATALYST PARTICLES - ANALOGY BETWEEN SLAB AND SPHERE GEOMETRIES, Industrial & engineering chemistry research, 32(9), 1993, pp. 1839-1852
Expressions for the calculation of the ''augmented' intraparticle effe
ctive diffusivity have been obtained for diffusion, convection, and re
action problems in catalyst particles with slab and sphere geometry at
steady state and in the transient regime. Analytical solutions for th
e time domain model equations for both geometries have been derived, a
nd a numerical scheme for solving the spherical particle model equatio
ns is also presented. An equivalence ratio, l/R, between the slab and
the sphere characteristic dimensions has been obtained from these resu
lts for steady-state and transient operation. Finally, a comparison of
the actual use of the sphere and the slab model equations is presente
d.