Mathematical model of ion transport across the interface "ion-exchange membrane/strong electrolyte"

Authors

  • Kasparov M.A. Kuban State University, Krasnodar, Russian Federation
  • Lebedev K.A. Kuban State University, Krasnodar, Russian Federation

UDC

517.958:544.6

Abstract

Mathematical model of ion transfer across the interface ion-exchange membrane/restores formulated in the article. The border is seen as extended in space object with all the properties that are inherent physico-chemical phases for the first time. The dimensions of this object are estimated in the range of 1-300 nm by electron microscopy. Concentration distribution of ions in the system, the charge density distribution and the dependence of the integral of the magnitude of the charge on the length of the nanolayer is presented. The hydrodynamic conditions of the flow solution using the Navier-Stokes equations are modeled.

Keywords:

mathematical model, boundary phases, charge density, Navier-Stokes equations

Acknowledgement

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

Author Infos

Mikhail A. Kasparov

аспирант кафедры вычислительной математики и информатики Кубанского государственного университета

e-mail: shadow-venom@mail.ru

Konstantin A. Lebedev

д-р физ.-мат. наук, профессор кафедры вычислительной математики и информатики Кубанского государственного университета

e-mail: klebedev.ya@yandex.ru

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Issue

2017. No. 4. Part 1

Section

Mechanics

Pages

40-49

Submitted

2017-10-10

Published

2017-12-25

How to Cite

Kasparov M.A., Lebedev K.A. Mathematical model of ion transport across the interface "ion-exchange membrane/strong electrolyte". Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2017, no. 4, pp. 40-49. (In Russian)

Copyright (c) 2017 Kasparov M.A., Lebedev K.A.

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