ESTIMATION OF LUMPED EFFECTIVENESS FACTOR FOR MANY BIMOLECULAR REACTIONS

This paper addresses the overall behavior of a reaction mixture in whi ch many irreversible bimolecular reactions occur in catalyst particles of three different shapes (slab, long cylinder, and sphere). Specific ally, we develop a priori upper and lower bounds on the effectiveness factor for the mixture as a whole. These bounds provide information on the asymptotic behavior of the mixture under severe diffusion limitat ion. Improved bounds are obtained by reducing the problem to that of f inding the effectiveness factor for a single second-order reaction. Th e bounds are used to estimate the mixture's effectiveness factor-based on information about the average and the spread of the Thiele moduli.