MODELING THE COMPLEX PROBLEM OF INTRACRYSTALLINE DIFFUSION AND 1ST-ORDER PHENOMENA IN MICROPOROUS SOLID PARTICLES UNDER CONSTANT-VOLUME VARIABLE-CONCENTRATION CONDITIONS
A. Micke et M. Bulow, MODELING THE COMPLEX PROBLEM OF INTRACRYSTALLINE DIFFUSION AND 1ST-ORDER PHENOMENA IN MICROPOROUS SOLID PARTICLES UNDER CONSTANT-VOLUME VARIABLE-CONCENTRATION CONDITIONS, Chemical Engineering Science, 48(15), 1993, pp. 2777-2786
Microporous solids with pore diameters comparable to effective molecul
ar cross-sections are mainly used as both stereo-selective adsorbents
and shape-selective catalysts. Often complex phenomena govern the over
all rate of processes of both physical adsorption and catalytic reacti
on. Transport and reaction rates are usually determined independently
of each other. In contrast to this procedure, this paper describes a w
ay to model such phenomena comprising internal diffusion in microporou
s particles coupled with any first-order rate process inherent both in
the physical system, i.e. sorption system with nonlinear sorption iso
therm and any particle size distribution, and the experimental apparat
us characteristics. Modelling and complete solution of the models for
both constant and variable boundary conditions were carried out by mea
ns of non-linear Volterra integral equations. It becomes possible to d
etermine both the diffusion coefficients and rate constants of constit
uents of a complex process using only one experimental arrangement. Th
e approach is incorporated into the software ZEUS (zeolite uptake simu
lator).