Numerical Study of Salt Ion Transport in Electromembrane Systems with Ion-Exchange Membranes Having Geometrically Structured Surfaces

Evgenia Kirillova (), Natalia Chubyr, Anna Kovalenko and Mahamet Urtenov
Additional contact information
Evgenia Kirillova: Faculty of Architecture and Civil Engineering, RheinMain University of Applied Sciences, 65197 Wiesbaden, Germany
Natalia Chubyr: Faculty of Computer Technologies and Applied Mathematics, Kuban State University, 350040 Krasnodar, Russia
Anna Kovalenko: Faculty of Computer Technologies and Applied Mathematics, Kuban State University, 350040 Krasnodar, Russia
Mahamet Urtenov: Faculty of Computer Technologies and Applied Mathematics, Kuban State University, 350040 Krasnodar, Russia

Mathematics, 2025, vol. 13, issue 9, 1-19

Abstract: This article is devoted to numerically modeling the effect of the geometric modification of the surfaces of ion-exchange membranes in electromembrane systems (EMSs) on the salt ion transport using a 2D mathematical model of the transport process in the desalination channel based on boundary value problems for the coupled system of Nernst–Planck–Poisson and Navier–Stokes equations. The main patterns of salt ion transport are established taking into account diffusion, electromigration, forced convection, electroconvection, and the geometric modification of the surface of ion-exchange membranes. It is shown that the geometric modification of the surface of ion-exchange membranes significantly changes both the formation and development of electroconvection. A significant combined effect of electroconvection and geometric modification of the surface of ion-exchange membranes in the desalination channel on the salt ion transport is shown, as well as a complex, nonlinear, and non-stationary interaction of all the main effects of concentration polarization in the desalination channel.

Keywords: electrodialysis; desalination; electroconvection; geometric modification of the surface of ion-exchange membranes; boundary value problem for the system of Nernst–Planck–Poisson and Navier–Stokes equations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/13/9/1523/pdf (application/pdf)
https://www.mdpi.com/2227-7390/13/9/1523/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:13:y:2025:i:9:p:1523-:d:1649761

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().