Mathematical modeling of nonstationary 1:1 electrolyte transfer and study of the space charge region in membrane systems taking into account electric convection and water dissociation/recombination reactions

Authors

  • Urtenov M.Kh. Kuban State University, Krasnodar, Российская Федерация
  • Kovalenko A.V. Kuban State University, Krasnodar, Российская Федерация
  • Sharafan M.V. Kuban State University, Krasnodar, Российская Федерация
  • Gudza V.A. Kuban State University, Krasnodar, Российская Федерация
  • Chubyr N.O. Kuban State University, Krasnodar, Российская Федерация

UDC

544.638.2:001.891.573

DOI:

https://doi.org/10.31429/vestnik-18-2-62-71

Abstract

The article formulates a mathematical model of non-stationary transfer of 1:1 electrolyte in potentiodynamic mode, taking into account electroconvection and non-catalytic reaction of dissociation/recombination of water molecules in membrane systems, which are considered the channel of desalting of the electrodialysis apparatus. Using this model, the main regularities of the space charge distribution are theoretically established, the influence of the input parameters is determined: initial concentration, potential sweep rate, etc. It is shown that the desalination channel consists of narrow quasi-equilibrium regions of space charge adjacent to ion-exchange membranes; an electric double layer appears in the central part, caused by the recombination reaction. Regions of electroneutrality are located between this double electric layer and the near-membrane space charge regions. This study will further be used to analyze the combined effect of the noncatalytic reaction of dissociation of water molecules and recombination and electroconvection on the current-voltage characteristic of the desalting channel.

Keywords:

dissociation/recombination of water molecules, computer modeling, mathematical modeling, electroconvection, 2D modeling, unsteady transfer, desalination channel of the electrodialysis device, COMSOL

Acknowledgement

Исследование выполнено при финансовой поддержке РФФИ в рамках научного проекта 19-08-00252 А "Теоретическое и экспериментальное исследование вольтамперных характеристик электромембранных систем".

Author Infos

Makhamet Kh. Urtenov

д-р физ.-мат. наук, профессор, заведующий кафедрой прикладной математики Кубанского государственного университета

e-mail: urtenovmax@mail.ru

Anna V. Kovalenko

канд. физ.-мат. наук,  доцент кафедры прикладной математики Кубанского государственного технологического университета

e-mail: savanna-05@mail.ru

Mikhail V. Sharafan

канд. хим. наук, доцент кафедры физической химии, проректор по научной работе и инновациям Кубанского государственного университета

e-mail: science-pro@kubsu.ru

Vitaliy A. Gudza

аспирант кафедры прикладной математики Кубанского государственного университета

e-mail: flash.wetal@mail.ru

Nataliya O. Chubyr

канд. физ.-мат. наук,  доцент кафедры прикладной математики Кубанского государственного технологического университета

e-mail: chubyr-natalja@mail.ru

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Issue

2021. Vol. 18. No. 2

Section

Physics

Pages

62-71

Submitted

2021-05-28

Published

2021-06-28

How to Cite

Urtenov M.Kh., Kovalenko A.V., Sharafan M.V., Gudza V.A., Chubyr N.O. Mathematical modeling of nonstationary 1:1 electrolyte transfer and study of the space charge region in membrane systems taking into account electric convection and water dissociation/recombination reactions. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2021, vol. 18, no. 2, pp. 62-71. DOI: https://doi.org/10.31429/vestnik-18-2-62-71 (In Russian)

Copyright (c) 2021 Urtenov M.Kh., Kovalenko A.V., Sharafan M.V., Gudza V.A., Chubyr N.O.

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