Effect of a convective term of the Nernst-Plank equation on the ions transfer characteristics in the synthetic membrane charged capillary

Authors

  • Suleymanov S.S. Branch of the Kuban State University in Goryachy Klyuch, Goryachy Klyuch, Russian Federation
  • Kurilenko A.K. Branch of the Kuban State University in Goryachy Klyuch, Goryachy Klyuch, Russian Federation
  • Lebedev K.A. Kuban State University, Krasnodar, Russian Federation

UDC

541.135.5

Abstract

Within the framework of the Nernst-Plank model, a one-dimensional boundary value problem of stationary ion transfer through the charged media is set and solved with the account of a normal convective component. The problem is applied to a thin pore with charged walls pairing two solutions of different concentrations. Numerical and analytical methods of solution of a boundary value problem are given. The dependences of electrical strength in a pore and effective transfer numbers from the value of a convective component are investigated. It is shown that the Goldman's approximation can be applied to nano-size systems with some exceptions.

Keywords:

nano-, ion transfer, Goldman's approximation, transfer number

Funding information

Работа выполнена при поддержке РФФИ и Администрации Краснодарского края (06-03-96676).

Author info

  • Sano S. Suleymanov

    преподаватель кафедры общегуманитарных, социально-экономических и естественных дисциплин филиала Кубанского государственного университета в г. Горячий Ключ

  • Aleksey K. Kurilenko

    преподаватель кафедры общегуманитарных, социально-экономических и естественных дисциплин филиала Кубанского государственного университета в г. Горячий Ключ

  • Konstantin A. Lebedev

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

References

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Issue

Pages

56-64

Section

Article

Dates

Submitted

April 21, 2009

Accepted

April 30, 2009

Published

June 29, 2009

How to Cite

[1]
Suleymanov, S.S., Kurilenko, A.K., Lebedev, K.A., Effect of a convective term of the Nernst-Plank equation on the ions transfer characteristics in the synthetic membrane charged capillary. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2009, № 2, pp. 56–64.

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