Mathematical Modeling of the Phenomenon of Space-Charge Breakdown in the Galvanostatic Mode in the Section of the Electromembrane Desalination Channel

One of the ways to increase the efficiency of the desalination process in membrane systems is to use intensive current modes. Recently, the phenomenon of space-charge breakdown was theoretically described for desalination under intensive current modes. The space-charge breakdown is a decrease in the...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Aminat Uzdenova, Makhamet Urtenov
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	ion-exchange membrane space charge galvanostatic mode desalination mathematical modeling Nernst–Planck–Poisson equations Chemical technology TP1-1185 Chemical engineering TP155-156
Acceso en línea:	https://doaj.org/article/b8eff62a0bae4557aebec66525154864
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:b8eff62a0bae4557aebec66525154864
record_format	dspace
spelling	oai:doaj.org-article:b8eff62a0bae4557aebec665251548642021-11-25T18:19:58ZMathematical Modeling of the Phenomenon of Space-Charge Breakdown in the Galvanostatic Mode in the Section of the Electromembrane Desalination Channel10.3390/membranes111108732077-0375https://doaj.org/article/b8eff62a0bae4557aebec665251548642021-11-01T00:00:00Zhttps://www.mdpi.com/2077-0375/11/11/873https://doaj.org/toc/2077-0375One of the ways to increase the efficiency of the desalination process in membrane systems is to use intensive current modes. Recently, the phenomenon of space-charge breakdown was theoretically described for desalination under intensive current modes. The space-charge breakdown is a decrease in the magnitude and size of the extended space charge regions (SCRs) of opposite signs, formed at the cation- and anion-exchange membranes in the desalination channel, when they approach each other. Therefore, this phenomenon negatively affects the intensity of electroconvection and the efficiency of mass transfer in membrane systems. We report the results of the first theoretical analysis of the space-charge breakdown in the galvanostatic electric mode, which is generally used in the research and operation of membrane systems. For this purpose, a one-dimensional model of the ion transfer of the electrolyte solution in the section of the desalination channel at the direct current is developed. The regularities of changes in the extended SCRs in the galvanostatic mode are determined. A relation is obtained for the onset time of the space-charge breakdown, which makes it possible to determine the parameters of the effective operation of the membrane system.Aminat UzdenovaMakhamet UrtenovMDPI AGarticleion-exchange membranespace chargegalvanostatic modedesalinationmathematical modelingNernst–Planck–Poisson equationsChemical technologyTP1-1185Chemical engineeringTP155-156ENMembranes, Vol 11, Iss 873, p 873 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	ion-exchange membrane space charge galvanostatic mode desalination mathematical modeling Nernst–Planck–Poisson equations Chemical technology TP1-1185 Chemical engineering TP155-156
spellingShingle	ion-exchange membrane space charge galvanostatic mode desalination mathematical modeling Nernst–Planck–Poisson equations Chemical technology TP1-1185 Chemical engineering TP155-156 Aminat Uzdenova Makhamet Urtenov Mathematical Modeling of the Phenomenon of Space-Charge Breakdown in the Galvanostatic Mode in the Section of the Electromembrane Desalination Channel
description	One of the ways to increase the efficiency of the desalination process in membrane systems is to use intensive current modes. Recently, the phenomenon of space-charge breakdown was theoretically described for desalination under intensive current modes. The space-charge breakdown is a decrease in the magnitude and size of the extended space charge regions (SCRs) of opposite signs, formed at the cation- and anion-exchange membranes in the desalination channel, when they approach each other. Therefore, this phenomenon negatively affects the intensity of electroconvection and the efficiency of mass transfer in membrane systems. We report the results of the first theoretical analysis of the space-charge breakdown in the galvanostatic electric mode, which is generally used in the research and operation of membrane systems. For this purpose, a one-dimensional model of the ion transfer of the electrolyte solution in the section of the desalination channel at the direct current is developed. The regularities of changes in the extended SCRs in the galvanostatic mode are determined. A relation is obtained for the onset time of the space-charge breakdown, which makes it possible to determine the parameters of the effective operation of the membrane system.
format	article
author	Aminat Uzdenova Makhamet Urtenov
author_facet	Aminat Uzdenova Makhamet Urtenov
author_sort	Aminat Uzdenova
title	Mathematical Modeling of the Phenomenon of Space-Charge Breakdown in the Galvanostatic Mode in the Section of the Electromembrane Desalination Channel
title_short	Mathematical Modeling of the Phenomenon of Space-Charge Breakdown in the Galvanostatic Mode in the Section of the Electromembrane Desalination Channel
title_full	Mathematical Modeling of the Phenomenon of Space-Charge Breakdown in the Galvanostatic Mode in the Section of the Electromembrane Desalination Channel
title_fullStr	Mathematical Modeling of the Phenomenon of Space-Charge Breakdown in the Galvanostatic Mode in the Section of the Electromembrane Desalination Channel
title_full_unstemmed	Mathematical Modeling of the Phenomenon of Space-Charge Breakdown in the Galvanostatic Mode in the Section of the Electromembrane Desalination Channel
title_sort	mathematical modeling of the phenomenon of space-charge breakdown in the galvanostatic mode in the section of the electromembrane desalination channel
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/b8eff62a0bae4557aebec66525154864
work_keys_str_mv	AT aminatuzdenova mathematicalmodelingofthephenomenonofspacechargebreakdowninthegalvanostaticmodeinthesectionoftheelectromembranedesalinationchannel AT makhameturtenov mathematicalmodelingofthephenomenonofspacechargebreakdowninthegalvanostaticmodeinthesectionoftheelectromembranedesalinationchannel
_version_	1718411342278295552

Mathematical Modeling of the Phenomenon of Space-Charge Breakdown in the Galvanostatic Mode in the Section of the Electromembrane Desalination Channel

Ejemplares similares