Mathematical and numerical process modeling of regulation pH of dilute solutions of electrolytes by electrodialysis with bipolar membranes in long channels

Authors

  • Vasilenko P.A. Kuban State University, Krasnodar, Российская Федерация
  • Lebedev K.A. Kuban State University, Krasnodar, Российская Федерация

UDC

517.958:544.6

DOI:

https://doi.org/10.31429/vestnik-15-1-41-49

Abstract

A hierarchical system of point models of water softening has been developed. The hierarchy of models has a linear ordering, each next one is built on the basis of the previous one, by including new equations reflecting the appearance of new substances, ions, and consequently new phenomena. The number of roots of the system of equations increases. Numerical methods for finding the roots of non-linear equations with the use of modified Newton methods with a choice of a step, a regularization parameter, and an extension method for systems of nonlinear equations are proposed.

Keywords:

electrodialysis, bipolar membrane, numerical modeling, correction of pH diluted solution, modified Newton method, mathematical model

Acknowledgement

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

Author Infos

Polina A. Vasilenko

аспирантка кафедры вычислительной математики и информатики Кубанского государственного университета

e-mail: polig@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

References

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Issue

2018. Vol. 15. No. 1

Section

Physics

Pages

41-49

Submitted

2017-10-23

Published

2018-03-19

How to Cite

Vasilenko P.A., Lebedev K.A. Mathematical and numerical process modeling of regulation pH of dilute solutions of electrolytes by electrodialysis with bipolar membranes in long channels. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2018, vol. 15, no. 1, pp. 41-49. DOI: https://doi.org/10.31429/vestnik-15-1-41-49 (In Russian)

Copyright (c) 2018 Vasilenko P.A., Lebedev K.A.

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