Removal of dimethylsulphide in a bench-scale biofilter: some analytical solutions

A mathematical model describing the biofiltration of dimethyle sulphide (DMS) in a bench-scale biofilter is discussed. This model contains the diffusion of the compounds through the biofilm and degradation of the compound along the biofilter column. The model proposed here is based on the mass transfer in gas-biofilm interface and chemical oxidation in the gas phase. Analytical expressions pertaining to the dimethyl sulphide concentration in the gas phase and bio-film phase have been derived using the new homotopy perturbation method (NHPM) for all possible values of parameters. Furthermore, in this work the numerical simulation of the problem is also reported using the Matlab program to investigate the dynamics of the system. Our analytical result are compared with numerical result. Satisfactory agreement is noted.