• 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.
Keywords
Boundary value problem, Homotopy perturbation method, Biofiltration, Water movement, Methanol removal,
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