Mathematical modeling of processes in a microbial fuel cell taking into account their spatial heterogeneity
UDC
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ZXPYODAbstract
This work explores a mathematical simulation of the microbial fuel cell (MFC). We consider a spatially inhomogeneous MFC model of the membrane type. Taking into account the spatial inhomogeneity of the processes in the MFC leads to a nonlinear initial-boundary value problem for partial differential equations, including the equations of electrodiffusion processes for positive and negative ions in the anode chamber, equation of the dynamics of positive ions in the cathode chamber, Poisson's equation for the potential, initial and boundary conditions. To solve it, a difference problem is constructed, linearized by lowering the values of the potential on the lower-lying layer. Model calculations for MFC with different geometric characteristics were carried out. The results of the calculations are obtained in the form of the current strength in the MFC circuit versus time.
Keywords:
microbial fuel cell, model waste water, anaerobic heterotrophic microflora, facultative anaerobic heterotrophic microflora, math modeling, geometry of anode chamber, dynamics of current-voltage characteristicsFunding information
Работа выполнена при поддержке Российского фонда фундаментальных исследований (16-44-230908, 16-41-230117).Работа выполнена при поддержке Российского фонда фундаментальных исследований (16-44-230908, 16-41-230117).
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Copyright (c) 2017 Дроботенко М.И., Свидлов А.А.
This work is licensed under a Creative Commons Attribution 4.0 International License.
