Calculation of effectiveness factors for spherical shells using shooting technique

Abstract

Stevens et al. (1987) claimed that the orthogonal collocation method is a rapid and efficient technique for calculating effectiveness factors for the rate of chemical or biochemical reaction in spherical porous shells based on Michaelis-Menten kinetics. Stevens (1988) further applied the same method to determine the effectiveness factors for more general forms of Michaelis-Menten kinetics that incorporate the effects of substrate and product inhibitions. The writers, using the shooting method, show that Stevens et al. (1987) and Stevens (1988) soluitions obtained by the collocation method may be inaccurate, and even erroneous in the case in which substrate inhibition is considered in the analysis.