Mathematical Modelling of Double Chamber Microbial Fuel Cell using Homotopy Perturbation Method

Abstract

A theoretical model and simulation of a two-chamber microbial fuel cell are discussed. The model is generated through the integration of the microbial fuel cell's bio-electrochemical kinetics and balance of mass and charge. Several parameters are examined that have a direct impact on the performance of the microbial fuel cells. Approximate analytical expressions for the concentration of acetate, dissolved carbon dioxide, hydrogen ion, biomass, dissolved oxygen, hydroxyl and cation  M in microbial fuel cell and glucose and glutamic acid in GGA fuel cell are obtained by solving the non-linear equation using new the homotopy perturbation method. The analytical result is compared with the numerical results and satisfactory agreement is noted.