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Membranes
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Theoretical Study of Membrane Processes
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Theoretical Study of Membrane Processes

A special issue of Membranes (ISSN 2077-0375). This special issue belongs to the section "Membrane Physics and Theory".

Deadline for manuscript submissions: closed (30 November 2023) | Viewed by 3417

Special Issue Editors

Dr. Anna Kovalenko

E-Mail Website
Guest Editor
Department of Data Analysis and Artificial Intelligence, Kuban State University, Krasnodar 350040, Russia
Interests: mathematical modeling and simulation electroconvection; modeling transport ions; modeling and simulation of membrane systems; membrane processes: ion-exchange membrane; electrodialysis; electroconvection; оverlimiting current; electrodialyzer desalination channel; spacers; structural modification of the membrane surface; electro–membrane processes; mass transfer
Dr. Makhamet Urtenov

E-Mail Website
Guest Editor
Department of Applied Mathematics, Federal State Budgetary Educational Institution of Higher Education “Kuban State University”, 350040 Krasnodar, Russia
Interests: membrane systems; mathematical modeling of electromembrane processes; overlimiting transport; ecology
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

To date, it is well known that the efficiency of electromembrane systems, such as electrodialysis, is highly dependent on the hydrodynamics of the process and the properties of the membrane surface.

This Special Issue aims to address factors positively impacting mass transfer from electrolyte solutions. Firstly, this is the use of spacers, which can be used to control the flow of the solution, i.e., hydrodynamics. Secondly, this is the structuring of the membrane surface (membrane with an electrically inhomogeneous surface characterized by the presence of island structures, as well as profiled membranes with a geometrically inhomogeneous surface). Thirdly, it is the control of electro convection.

Additionally, an objective of this study will be to increase the performance of electromembrane systems by predicting and preventing complex destructive phenomena, such as a breakdown of the space charge and the reaction of the dissociation/recombination of water molecules that occur under extreme current conditions, which significantly limit mass transfer and reduce the efficiency of electromembrane systems.

This Special Issue aims to address the experimentally and theoretically using mathematical modeling based on boundary value problems for the coupled system of Nernst–Planck–Poisson and Navier–Stokes equations. This Special Issue also addresses detailed numerical studies, which will make it possible to study the main regularities of electrodialysis in intense current modes.

In this Special Issue, original research articles and reviews are welcome. Research areas may include (but are not limited to) the following:

  • Intensification of mass transfer;
  • Dissociation\recombination of water molecules;
  • Transfer across the membrane;
  • Influence of spacers on mass transfer;
  • Electroconvection;
  • Structured membrane surfaces;
  • Overlimiting current modes;
  • Optimization of the conditions for conducting electrodialysis (speed of the forced flow of the solution, potential jump, etc.);
  • Optimization for the most significant parameters using various efficiency criteria, such as current efficiency, energy consumption and the cost of desalting a unit volume of solution;
  • Study of current-voltage characteristics;
  • Wide application of electrodialysis in practice;
  • Fundamental patterns of ion and water transfer in the channels of electrodialyzers;
  • Increasing the efficiency of electrodialysis;
  • Achieving complete control of electroconvection both in the depth of the solution and in the diffusion layer.

Dr. Anna Kovalenko
Dr. Makhamet Urtenov
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Membranes is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2700 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • ion-exchange membrane
  • electrodialysis
  • spacers
  • electroconvection
  • overlimiting current
  • structural modification of the membrane surface
  • mathematical modeling

Published Papers (2 papers)

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Research

17 pages, 14440 KiB  
Article
Inducing Deep Sweeps and Vortex Ejections on Patterned Membrane Surfaces to Mitigate Surface Fouling
by August H. Young, Nico Hotz, Brian T. Hawkins and Zbigniew J. Kabala
Membranes 2024, 14(1), 21; https://doi.org/10.3390/membranes14010021 - 13 Jan 2024
Viewed by 1428
Abstract
Patterned membrane surfaces offer a hydrodynamic approach to mitigating concentration polarization and subsequent surface fouling. However, when subjected to steady crossflow conditions, surface patterns promote particle accumulation in the recirculation zones of cavity-like spaces. In order to resolve this issue, we numerically subject [...] Read more.
Patterned membrane surfaces offer a hydrodynamic approach to mitigating concentration polarization and subsequent surface fouling. However, when subjected to steady crossflow conditions, surface patterns promote particle accumulation in the recirculation zones of cavity-like spaces. In order to resolve this issue, we numerically subject a two-dimensional, patterned membrane surface to a rapidly pulsed crossflow. When combined with cavity-like spaces, such as the valleys of membrane surface patterns, a rapidly pulsed flow generates mixing mechanisms (i.e., the deep sweep and the vortex ejection) and disrupts recirculation zones. In only four pulses, we demonstrate the ability of these mechanisms to remove over half of the particles trapped in recirculation zones via massless particle tracking studies (i.e., numerical integration of the simulated velocity field). The results of this work suggest that when combined with a rapidly pulsed inlet flow, patterned membrane surfaces can not only alleviate concentration polarization and the surface fouling that follows but also reduce the need for traditional cleaning methods that require operational downtime and often involve the use of abrasive chemical agents. Full article
(This article belongs to the Special Issue Theoretical Study of Membrane Processes)
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19 pages, 7825 KiB  
Article
Theoretical Analysis of the Influence of Spacers on Salt Ion Transport in Electromembrane Systems Considering the Main Coupled Effects
by Anna Kovalenko, Makhamet Urtenov, Vladimir Chekanov and Natalya Kandaurova
Membranes 2024, 14(1), 20; https://doi.org/10.3390/membranes14010020 - 10 Jan 2024
Viewed by 1353
Abstract
This article considers a theoretical analysis of the influence of the main coupled effects and spacers on the transfer of salt ions in electromembrane systems (EMS) using a 2D mathematical model of the transfer process in a desalting channel with spacers based on [...] Read more.
This article considers a theoretical analysis of the influence of the main coupled effects and spacers on the transfer of salt ions in electromembrane systems (EMS) using a 2D mathematical model of the transfer process in a desalting channel with spacers based on boundary value problems for the coupled system of Nernst–Planck–Poisson and Navier–Stokes equations. The basic patterns of salt ion transport have been established, taking into account diffusion, electromigration, forced convection, electroconvection, dissociation/recombination reactions of water molecules, as well as spacers located inside the desalting channel. It has been shown that spacers and taking into account the dissociation/recombination reaction of water molecules significantly change both the formation and development of electroconvection. This article confirms the fact of the exaltation of the limiting current studied by Harkatz, where it is shown that the current (flux) of salt ions increases when the dissociation reaction begins by a certain value called the exaltation current, which is proportional to the flow of water dissociation products. A significant combined effect of electroconvection and dissociation/recombination reactions as well as the spacer system in the desalting channel on the transport of salt ions are shown. The complex, nonlinear, and non-stationary interaction of all the main effects of concentration polarization and spacers in the desalting channel are also considered in the work. Full article
(This article belongs to the Special Issue Theoretical Study of Membrane Processes)
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