Theoretical Analysis of Electroconvection in the Electrodialysis Desalination Channel under the Action of Direct Current

The development of electroconvection in electromembrane systems is a factor that increases the efficiency of the electrolyte solution desalination process. The desalination of the solution, manifested by a change in the distribution of the ion concentration, can affect the mechanisms of development...

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Main Authors: Aminat Uzdenova, Anna Kovalenko, Makhamet Urtenov
Format: Article
Language:English
Published: MDPI AG 2022-11-01
Series:Membranes
Subjects:
Online Access:https://www.mdpi.com/2077-0375/12/11/1125
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author Aminat Uzdenova
Anna Kovalenko
Makhamet Urtenov
author_facet Aminat Uzdenova
Anna Kovalenko
Makhamet Urtenov
author_sort Aminat Uzdenova
collection DOAJ
description The development of electroconvection in electromembrane systems is a factor that increases the efficiency of the electrolyte solution desalination process. The desalination of the solution, manifested by a change in the distribution of the ion concentration, can affect the mechanisms of development of electroconvection. The purpose of this work is to study the electroconvective flow developing in the desalination channel under various desalination scenarios. The study was carried out on the basis of a mathematical model of the transfer of binary electrolyte ions in the desalination channel formed between the anion and cation exchange membranes under the action of DC current. An analytical estimation of the threshold current density reflecting the conditions of the system transition into a quasi-stationary state has been obtained. The chronopotentiograms of the desalination channel and the thickness of the electroconvective mixing layer are calculated for both pre-threshold and supra-threshold values of the current density.
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spelling doaj.art-870cd5977d8e44d387a95c02dd6904da2023-11-24T05:49:29ZengMDPI AGMembranes2077-03752022-11-011211112510.3390/membranes12111125Theoretical Analysis of Electroconvection in the Electrodialysis Desalination Channel under the Action of Direct CurrentAminat Uzdenova0Anna Kovalenko1Makhamet Urtenov2Department of Computer Science and Computational Mathematics, Umar Aliev Karachai-Cherkess State University, 369202 Karachaevsk, RussiaDepartment of Data Analysis and Artificial Intelligence, Kuban State University, 350040 Krasnodar, RussiaDepartment of Applied Mathematics, Kuban State University, 350040 Krasnodar, RussiaThe development of electroconvection in electromembrane systems is a factor that increases the efficiency of the electrolyte solution desalination process. The desalination of the solution, manifested by a change in the distribution of the ion concentration, can affect the mechanisms of development of electroconvection. The purpose of this work is to study the electroconvective flow developing in the desalination channel under various desalination scenarios. The study was carried out on the basis of a mathematical model of the transfer of binary electrolyte ions in the desalination channel formed between the anion and cation exchange membranes under the action of DC current. An analytical estimation of the threshold current density reflecting the conditions of the system transition into a quasi-stationary state has been obtained. The chronopotentiograms of the desalination channel and the thickness of the electroconvective mixing layer are calculated for both pre-threshold and supra-threshold values of the current density.https://www.mdpi.com/2077-0375/12/11/1125electrodialysisdesalinationelectroconvectionchronopotentiogramquasi-stationary statesystem of Nernst–Planck–Poisson and Navier–Stokes equations
spellingShingle Aminat Uzdenova
Anna Kovalenko
Makhamet Urtenov
Theoretical Analysis of Electroconvection in the Electrodialysis Desalination Channel under the Action of Direct Current
Membranes
electrodialysis
desalination
electroconvection
chronopotentiogram
quasi-stationary state
system of Nernst–Planck–Poisson and Navier–Stokes equations
title Theoretical Analysis of Electroconvection in the Electrodialysis Desalination Channel under the Action of Direct Current
title_full Theoretical Analysis of Electroconvection in the Electrodialysis Desalination Channel under the Action of Direct Current
title_fullStr Theoretical Analysis of Electroconvection in the Electrodialysis Desalination Channel under the Action of Direct Current
title_full_unstemmed Theoretical Analysis of Electroconvection in the Electrodialysis Desalination Channel under the Action of Direct Current
title_short Theoretical Analysis of Electroconvection in the Electrodialysis Desalination Channel under the Action of Direct Current
title_sort theoretical analysis of electroconvection in the electrodialysis desalination channel under the action of direct current
topic electrodialysis
desalination
electroconvection
chronopotentiogram
quasi-stationary state
system of Nernst–Planck–Poisson and Navier–Stokes equations
url https://www.mdpi.com/2077-0375/12/11/1125
work_keys_str_mv AT aminatuzdenova theoreticalanalysisofelectroconvectionintheelectrodialysisdesalinationchannelundertheactionofdirectcurrent
AT annakovalenko theoreticalanalysisofelectroconvectionintheelectrodialysisdesalinationchannelundertheactionofdirectcurrent
AT makhameturtenov theoreticalanalysisofelectroconvectionintheelectrodialysisdesalinationchannelundertheactionofdirectcurrent