C. Gavrilov et M. Sheintuch, REACTION-RATES IN FRACTAL VS UNIFORM CATALYSTS WITH LINEAR AND NONLINEAR KINETICS, AIChE journal, 43(7), 1997, pp. 1691-1699
Pore fractal objects are expected to be optimal catalysts, since mater
ial is supplied to the narrower pores, which are also shorter through
the larger pores where diffusion resistance is smaller. To demonstrate
this, diffusion and reaction were simulated on Sierpinski-gasket-type
fractal objects and on the corresponding nonfractal uniform-pore stru
ctures of the same size, porosity and reactive area. Positive order re
actions limited by Knudsen diffusion were shown to exhibit larger rate
s in fractal than in uniform-pore objects. Fractal catalysts also exhi
bited a new intermediate domain in which the rate depends only weakly
on the kinetics parameters. In nonmonotonic kinetics the branching poi
nt (bifurcation point) was extremely sensitive to the pore structure.