Mathematical modeling of processes in a microbial fuel cell taking into account their spatial heterogeneity

Authors

  • Drobotenko M.I. Kuban State University, Krasnodar, Russian Federation
  • Svidlov A.A. Kuban State University, Krasnodar, Russian Federation

UDC

579.6+517

Abstract

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 characteristics

Acknowledgement

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).

Author Infos

Mikhail I. Drobotenko

канд. физ.-мат. наук, заведующий кафедрой математических и компьютерных методов Кубанского государственного университета

e-mail: mdrobotenko@kubsu.ru

Aleksandr A. Svidlov

канд. физ.-мат. наук, доцент кафедры математических и компьютерных методов Кубанского государственного университета

e-mail: svidlov@mail.ru

References

  1. Pinto R.P., Srinivasan B., Manuel M.-F., Tartakovsky B. A two-population bio-electrochemical model of a microbial fuel cell. Bioresource Technology, 2010, no. 101, pp. 5256-5265.
  2. Oliveira V.B., Simoes M., Melo L.F., Pinto A.M.F.R. A 1D mathematical model for a microbial fuel cell. Energy, 2013, no. 61, pp. 463-471.
  3. Picioreanua  C., Head I.M., Katuri K.P., Van Loosdrecht M.C.M., Scott K. A computational model for biofilm-based microbial fuel cells. Water research, 2007, no. 41, pp. 2921-2940.
  4. Picioreanu C., Van Loosdrecht M.C.M., Curtis T.P., Scott K. Model based evaluation of the effect of pH and electrode geometry on microbial fuel cell performance. Bioelectrochemistry, 2010, no. 78, pp. 8-24.
  5. Drobotenko M.I., Volchenko N.N., Samkov A.A., Svidlov A.A. Mathematical modeling of processes in the microbial fuel cell membrane. Ekologicheskii vestnik nauchnih centrov Chernomorskogo ekonomicheskogo sotrudnichestva [Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation], 2016. no. 4. pp. 47-51. (In Russian)

Downloads

Issue

2017. No. 4. Part 1

Section

Physics

Pages

81-85

Submitted

2017-12-07

Published

2017-12-25

How to Cite

Drobotenko M.I., Svidlov A.A. Mathematical modeling of processes in a microbial fuel cell taking into account their spatial heterogeneity. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2017, no. 4, pp. 81-85. (In Russian)

Copyright (c) 2017 Drobotenko M.I., Svidlov A.A.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.