• ANALYTICAL SOLUTION OF THE CONCENTRATION OF SUBSTRATE AND EFFECTIVENESS FACTOR FOR ACETOPHENONE IN PACKED BED REACTOR

Abstract

A mathematical model of bioreduction of acetophenone in an up-flow packed bed reactor is presented. This paper presents an approximate analytical method (Modified adomian decomposition method) to solve the non-linear differential equations for Michaelis-Menten formalism that describe the concentrations of substrates within the enzymatic layer. A simple and closed-form of expressions pertaining to substrate concentration and effectiveness factor are presented for all value of diffusion parameters. These analytical results are compared with numerical results and they are found to be in good agreement.