Mathematical modeling of vortex structures during electroconvection in the electrodialyzer cell channel on model membranes with two conducting~sections

Authors

  • Zabolotsky V.I. Kuban State University, Krasnodar, Russian Federation
  • Lebedev K.A. Kuban State University, Krasnodar, Russian Federation
  • Vasilenko P.A. Kuban State University, Krasnodar, Russian Federation
  • Kuzyakina M.V. Kuban State University, Krasnodar, Russian Federation

UDC

517.958:544.6

DOI:

https://doi.org/10.31429/vestnik-16-1-73-82

Abstract

The article deals with mathematical modeling of the mechanism of electroconvection in electromembrane systems. The simulation is carried out by solving two-dimensional Navier-Stokes equations for incompressible fluid with boundary adhesion conditions and a given volume force distribution in accordance with the Rubinstein theory. It is shown that the volume force induced by current flow that can generate paired electroconvective vortices (electroosmosis of the second kind). It is shown that the most important parameters affecting the electroconvection are the limit current, the size of the inhomogeneities and the value of the space charge.

Keywords:

ion exchange membrane, electroconvection, morphology, vortexes, modeling

Acknowledgement

Работа выполнена при финансовой поддержке гранта РФФИ и администрации Краснодарского края (проект №16-48-230433р_а).

Author Infos

Viktor I. Zabolotsky

д-р хим. наук, профессор, заведующий кафедрой физической химии Кубанского государственного университета

e-mail: vizab@chem.kubsu.ru

Konstantin A. Lebedev

д-р физ.-мат. наук, доцент кафедры прикладной математики Кубанского государственного университета

e-mail: klebedev.ya@yandex.ru

Polina A. Vasilenko

аспирант Кубанского государственного университета

e-mail: polig@mail.ru

Marina V. Kuzyakina

канд. физ.-мат. наук, доцент кафедры геоинформатики Кубанского государственного университета

e-mail: MarinaVKuazykina@gmail.com

References

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Issue

2019. Vol. 16. No. 1

Section

Physics

Pages

73-82

Submitted

2018-12-14

Published

2019-03-30

How to Cite

Zabolotsky V.I., Lebedev K.A., Vasilenko P.A., Kuzyakina M.V. Mathematical modeling of vortex structures during electroconvection in the electrodialyzer cell channel on model membranes with two conducting~sections. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2019, vol. 16, no. 1, pp. 73-82. DOI: https://doi.org/10.31429/vestnik-16-1-73-82 (In Russian)

Copyright (c) 2019 Zabolotsky V.I., Lebedev K.A., Vasilenko P.A., Kuzyakina M.V.

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