name
Mamchuev Adra Magometovich
Scholastic degree
•
Academic rank
associated professor
Honorary rank
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Organization, job position
• Karachay-Cherkessia State University. WJ. Aliyev
доцент
Research interests
Теория операторных уравнений, линейные операторы в локально выпуклых пространствах, прикладные вопросы математики и информатики в образовании и экономике, современные проблемы науки и образования
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Articles count: 1
Сформировать список работ, опубликованных в Научном журнале КубГАУ
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01.00.00 Physical-mathematical sciences
Description
This article describes a mathematical model of transport of salt ions in a cell with a rotating disk cation exchange membrane at transcendent current regimes, taking into account electroconvection. Based on this model, we had a theoretically study of the process of transfer of salt ions and the dependence of the thickness of the diffusion layer from the fall of potential. This article is a continuation of [8] and [9], it conducted a numerical analysis of boundary value problem for a system of equations Nernst-Planck-Poisson and Navier-Stokes equations, modeling the transport of salt ions in a cylindrical cell with a rotating disc cation exchange membrane based on electroconvection. It is shown there is an electroconvection vortex in the center of the membrane disc. The solution flows around this vortex and forms a stagnation zone in front of it. With the increase in the size of the fall of potential, the electroconvective vortex decreases and at some value, the electroconvective vortex disappears. The study was conducted in the 1000 s when the angular velocity of 30 turns in a minute and change of the potential difference of 0.2V to 1.4V with a step 0.1. As a result, in this study it is shown that the thickness of the diffusion layer is practically linearly dependent on the fall of potential. The linear dependence of the thickness of diffusion layer from the fall of potential, in the first approximation, is disturbed by a slight deflection curve, the causes of which are needed to be found by means of extra experiments
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