Mathematical modeling of electrodynamics of bipolar membranes with water dissociation and chemical reaction of ionizable groups

Authors

  • Demekhin E.A. Financial University under the Government of the Russian Federation, Krasnodar, Russian Federation
  • Morshneva I.V. Southern Federal University, Rostov-on-Don, Russian Federation
  • Kalaydin E.N. Kuban State University, Krasnodar, Russian Federation

UDC

519.63:[537.29:538.93+544.6.018.4]

EDN

XECYVP

Abstract

The microscale electrolyte behavior both near and inside the bipolar ion-selective electric membrane in microscales under an external normal to the membrane surface electric field is scrutinized. Bipolar membrane is a combination of cation-exchange and anion-exchange membranes. Strong electric field in the junction between membranes leads to more intensive than in the monopolar membranes water dissociation process, that is why the bipolar membranes are widely used in the chemical industry. For investigation of aforementioned phenomena the three-layer system electrolyte-membrane-electrolyte is considered. The base of the mathematical model is the Nernst-Planck-Poisson system of nonlinear equations and an extra transport equations for ions of dissociated water with a source terms are added to the basic system of equations. It is found numerically that the maximal dissociation takes place within the junction between membranes. The flux of water ions not only enhances the total electric current through the system, but also leads to an exaltation effect. Taking into account the second Wien effect allows to explain the transition to the overlimiting mode in the system, which has been observed during the experiments.

Keywords:

microfluidics, bipolar membrane, Nernst-Plank-Poisson system, second Wien effect, numerical solution

Funding information

Работа выполнена при финансовой поддержке РФФИ (14-08-00789 а, 16-48-230107 р_а.)

Authors info

  • Evgeniy A. Demekhin

    д-р физ.-мат. наук, профессор кафедры математики и информатики Финансового университета при Правительстве Российской Федерации

  • Irina V. Morshneva

    канд. физ.-мат. наук, доцент кафедры вычислительной математики и математической физики Южного федерального университета

  • Evgeniy N. Kalaydin

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

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Issue

Vol.  (2016) No. 4

Pages

39-46

Section

Article

Dates

Submitted

December 7, 2016

Accepted

December 11, 2016

Published

December 22, 2016

How to Cite

[1]
Demekhin, E.A., Morshneva, I.V., Kalaydin, E.N., Mathematical modeling of electrodynamics of bipolar membranes with water dissociation and chemical reaction of ionizable groups. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2016, № 4, pp. 39–46.

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Copyright (c) 2016 Демёхин Е.А., Моршнева И.В., Калайдин Е.Н.

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