• ANALYTICAL EXPRESSION FOR METHANOL CONCENTRATION WITHIN A BIOFILM PHASE OF A BIOFILTER BED UNDER STEADY STATE CONDITION

Abstract

Boundary value problem in the biofilm phase for methanol concentration within a biofilm phase of a biofilter bed is solved analytically. The model is based on diffusion equations containing a non linear term related to Michaelis–Menten kinetics of the enzymatic reaction. This paper presents an approximate analytical method (He’s Homotopy perturbation method) to solve the non-linear differential equations for planar, cylindrical and spherical shape. Analytical expressions for concentration of methanol in a biofilm phase have been derived for all values of parameters by using perturbation method. The obtained results are valid for the whole solution domain.