Influence of temperature effects associated with the dissociation/recombination reaction of water molecules and Joule heating of the solution on the stationary transport of salt ions in the diffusion layer

Authors

  • Kovalenko A.V. Kuban State University, Krasnodar, Российская Федерация
  • Urtenov M.Kh. Kuban State University, Krasnodar, Российская Федерация
  • Chubyr N.O. Kuban State Technological University, Krasnodar, Российская Федерация
  • Uzdenova A.M. Karachaevo-Cherkessky State University named U.D. Aliev, Karachaevsk, Российская Федерация
  • Gudza V.A. Kuban State University, Krasnodar, Российская Федерация

UDC

303.732.4+514.84+515.1+530.1

DOI:

https://doi.org/10.31429/vestnik-15-4-67-84

Abstract

This paper presents a numerical analysis of the boundary value problem of a mathematical model of temperature effects associated with the reaction of dissociation/recombination of water molecules, electrodiffusion of four varieties of ions simultaneously (two salt ions, and ions H+ and OH-) in the diffusion layer in electromembrane systems with an ideally selective membrane and the heat conduction equation that takes into account the Joule heating of the solution, endothermic and exothermic nature of dissociation reactions of water molecules and recombination of ions H+ and OH-. Also, take into account the dependence of the ratio of the equilibrium reaction of dissociation/recombination on the temperature. As a result, the second-order equations and the corresponding boundary conditions are determined. This boundary value problem is convenient for numerical solution and simulates the transfer of 1:1 salt ions in the diffusion layer taking into account the temperature effects associated with the dissociation/recombination reaction and Joule heating of the solution in galvanostatic mode.

The structure of the diffusion layer and the dependence of the temperature influence on the equilibrium constants of the dissociation/recombination reaction were determined. In addition, the dissociation/recombination reaction of water molecules was analyzed and the temperature effects associated with this reaction and Joule heating of the solution were analyzed. The results of the work are also the determination of the temperature dependence on the current density by salt ions. The analysis of accuracy of calculations is carried out.

On the basis of numerical analysis, the fundamental regularities of symmetric binary salt transfer under the exorbitant current regimes in the diffusion layer are established, taking into account the thermal effects associated with the dissociation/recombination reaction of water molecules and Joule heating.

Keywords:

membrane system, ion exchange membrane, space charge, extended space charge region, dissociation/recombination reaction of water molecules

Acknowledgement

Исследование выполнено при поддержке РФФИ (16-08-00128 А и 18-58-16003 НЦНИЛ_а).

Author Infos

Anna V. Kovalenko

канд. эконом. наук, доц. кафедры прикладной математики Кубанского государственного университета

e-mail: savanna-05@mail.ru

Makhamet Kh. Urtenov

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

e-mail: urtenovmax@mail.ru

Natalya O. Chubyr

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

e-mail: chubyr-natalja@mail.ru

Vitaliy A. Gudza

аспирант кафедры прикладной математики Кубанского государственного университета

e-mail: vitaliy.gudza@gmail.com

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Issue

2018. Vol. 15. No. 4

Section

Physics

Pages

67-84

Submitted

2018-10-12

Published

2018-12-21

How to Cite

Kovalenko A.V., Urtenov M.Kh., Chubyr N.O., Uzdenova A.M., Gudza V.A. Influence of temperature effects associated with the dissociation/recombination reaction of water molecules and Joule heating of the solution on the stationary transport of salt ions in the diffusion layer. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2018, vol. 15, no. 4, pp. 67-84. DOI: https://doi.org/10.31429/vestnik-15-4-67-84 (In Russian)

Copyright (c) 2018 Kovalenko A.V., Urtenov M.Kh., Chubyr N.O., Uzdenova A.M., Gudza V.A.

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