Mathematical Modelling of Double Chamber Microbial Fuel Cell using Homotopy Perturbation Method
P. Jeyabarathi1, M. Kannan2, L. Rajendran3

1P. Jeyabarathi*, Department of Mathematics, AMET, Deemed to be University, Chennai, India.
2M. Kannan, Depatment of Mathematics, Government Arts College, Ariyalur, Affiliated to Bharathidasan University,Thiruchirappalli, India.
3L. Rajendran, Department of Mathematics, AMET, Deemed to be University, Chennai, India.
Manuscript received on May 06, 2020. | Revised Manuscript received on May 15, 2020. | Manuscript published on June 30, 2020. | PP: 1845-1853 | Volume-9 Issue-5, June 2020. | Retrieval Number: C5542029320/2020©BEIESP | DOI: 10.35940/ijeat.C5542.029320
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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.
Keywords: Mathematical modeling, Microbial fuel cell, Artificial wastewater, Numerical simulation, Homotopy perturbation method.