Open AccessMathematical Modeling of Microbial Fuel Cells in Wastewater Treatment - Homotopy Perturbation Method
Author(s) -
S. Suganya,
P. Balaganesan,
L. Rajendran
Publication year - 2019
Publication title -
international journal of recent technology and engineering
Language(s) - English
Resource type - Journals
ISSN - 2277-3878
DOI - 10.35940/ijrte.d7191.118419
Subject(s) - perturbation (astronomy) , homotopy perturbation method , microbial fuel cell , biological system , homotopy , mathematics , control theory (sociology) , mechanics , chemistry , computer science , thermodynamics , physics , biology , power (physics) , control (management) , electricity generation , quantum mechanics , artificial intelligence , pure mathematics
Mathematical modeling of Microbial Fuel Cell (MFC), which accounts for the co-existence of methanogenic and anodophilic microbial populations for different operating modes and reactor configurations, is discussed. This model based on the system of non-linear rate equations, where the non-linear term is related to the rate of the reactions. The system of non-linear equations is solved by using homotopy perturbation method. In this paper closed form of analytical expression of the concentration of substrate, anodophilic, methanogenic, and the mediator is derived. The analytical expressions are compared with simulation results for the experimental values of parameters, and satisfactory agreement is noted. The influence of parameters on the concentration profiles are discussed.