Decomposition of a system of two-dimensional electrodiffusion equations for a ternary electrolyte in electromembrane systems

Authors

  • Usova E.S. Kuban State University, Krasnodar, Russian Federation
  • Urtenov M.Kh. Kuban State University, Krasnodar, Russian Federation

UDC

517.91+541.13+541.18312

Abstract

In this article, a method of decomposition of a system of two-dimensional electrodiffusion equations for a ternary electrolyte is presented, boundary conditions are derived for the system of decomposed electrodiffusion equations, the results of numerical solution of the boundary-value problem are described, and the conclusions about some regulations of transfer process are made.

Keywords:

electrodiffusion equations, ternary electrolyte, decomposition, modeling, nonstationary transfer

Funding information

Работа выполнена при поддержке РФФИ (06-03-96606).

Author info

  • Ekaterina S. Usova

    аспирантка кафедры прикладной математики Кубанского государственного университета

  • Makhamet Kh. Urtenov

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

References

  1. Бабешко В.А., Заболоцкий В.И., Кириллова Е.В., Уртенов М.Х. Декомпозиция систем уравнений Нернста-Планка-Пуассона // ДАН. 1995. Т. 344. №4. С. 485-486.
  2. Бабешко В.А., Заболоцкий В.И., Корженко Н.М., Сеидов Р.Р., Уртенов М.Х. Теория стационарного переноса тернарного электролита в слое Нернста // ДАН. 1998. Т. 361. №2. С. 878-891.
  3. Ньюмен Дж. Электрохимические системы. М.: Мир, 1977. 463 с.

Downloads

Issue

Pages

10-17

Section

Mathematics

Dates

Submitted

December 10, 2008

Accepted

December 15, 2008

Published

March 27, 2009

How to Cite

[1]
Usova, E.S., Urtenov, M.K., Decomposition of a system of two-dimensional electrodiffusion equations for a ternary electrolyte in electromembrane systems. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2009, № 1, pp. 10–17.

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