Mathematical classification of electroconvection in electro-membrane systems

Authors

  • Kovalenko A.V. Kuban State University, Krasnodar, Российская Федерация

UDC

517.3:544.62

Abstract

The article shows that the cause of electroconvection is vortex nature of electric power, which has a significant value. The mathematical classification of phenomena electroconvection (electroosmosis) is proposed in the article, based on an analysis of the rotor of the electric force. The connection of the rotor of the electric force and the known classification Dukhin-Mishchuk and Rubinstein-Zaltzman is showed. The causes and mechanism of occurrence electroconvection in the flow-through membrane channel is analyzed and it is shown, that the forced flow of solution in the channel desalination has a significant influence on the development of electroconvection. It is shown that although electroconvection in a flow-through membrane channel has features as electroosmosis of the first kind Dukhin-Mishchuk and also unsteady electroosmosis of the second kind Rubinstein-Zaltzman, nevertheless it is a qualitatively new type of electroconvection. It is shown that electroconvection in the presence of forced fluid flow is the qualitatively new type of electroconvection associated with the rotor of the electric force.

Keywords:

electroconvection, electroosmosis, forced fluid flow, equations of Nernst-Planck-Poisson-Navier-Stokes, rotor of the electric force

Acknowledgement

Исследование выполнено при финансовой поддержке РФФИ в рамках научного проекта № 16-08-00128_a "Теоретическое и экспериментальное исследование гравитационной конвекции в мембранных системах с учетом реакции диссоциации/рекомбинации молекул воды".

Author Info

Anna V. Kovalenko

канд. экон. наук, доцент кафедры прикладной математики Кубанского государственного университета

e-mail: savanna-05@mail.ru

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Issue

2016. No. 4

Pages

61-68

Submitted

2016-10-21

Published

2016-12-22

How to Cite

Kovalenko A.V. Mathematical classification of electroconvection in electro-membrane systems. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2016, no. 4, pp. 61-68. (In Russian)

Copyright (c) 2016 Kovalenko A.V.

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