• ANALYTICAL SOLUTION OF THE CONCENTRATION OF SPECIES USING MODIFIED ADOMIAN DECOMPOSITION METHOD

Abstract

A mathematical model of bioreduction of acetophenone in an up-flow packed bed reactor is discussed. In this paper an approximate analytical method (Modified Adomian decomposition method) is used to solve the non-linear differential equations for a spherical catalyst. A single catalyst pellet of radius R can be treated as a porous medium through which reactants diffuses. A simple and closed-form of analytical expressions pertaining to substrate concentration and effectiveness factor are presented for all values of diffusion parameters. These analytical results are compared with numerical results and they are found to be in good agreement.