Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika
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Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika, 2008, Number 2(3), Pages 72–86 (Mi vtgu102)  

This article is cited in 1 scientific paper (total in 1 paper)

MECHANICS

Mathematical Modeling of Electrolyte Dynamic in Magnetic Field

M. A. Bubenchikov

Tomsk State University
Abstract: It is considered the class of automodelling problems about a current of the viscous incompressible multicomponent environment made anions, cations and neutral molecules in round pipes and space between circular cylinders with the displaced axes of forming cylinders in the presence of axial movement of environment and an external cross-section homogeneous magnetic field is considered. At modelling of movement of the charged particles the convention, diffusion and the migration of such particles arising under the influence of electric and magnetic fields are considered. The dimensionless system of the elliptic equations defining stationary process is integrated numerically with use of bilaterial symmetric differences for derivative and iterative procedures of Gauss–Zejdel. The numerical algorithm is tested on exact decisions on a current of not spending environment and experimental data about MGD-currents in channels. Influence of parametres chargeness ions and Hartmah's numbers on character of division of pairs ions in space is studied.
Keywords: Magnetic field, Ambipolar diffusion, Electrolyte, MGD-current.

Accepted: July 19, 2008
Document Type: Article
UDC: 612.13
Language: Russian
Citation: M. A. Bubenchikov, “Mathematical Modeling of Electrolyte Dynamic in Magnetic Field”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2008, no. 2(3), 72–86
Citation in format AMSBIB
\Bibitem{Bub08}
\by M.~A.~Bubenchikov
\paper Mathematical Modeling of Electrolyte Dynamic in Magnetic Field
\jour Vestn. Tomsk. Gos. Univ. Mat. Mekh.
\yr 2008
\issue 2(3)
\pages 72--86
\mathnet{http://mi.mathnet.ru/vtgu102}
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  • https://www.mathnet.ru/eng/vtgu/y2008/i2/p72
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Вестник Томского государственного университета. Математика и механика
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