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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Evgenia Kirillova & Natalia Chubyr & Anna Kovalenko & Mahamet Urtenov, 2025. "Numerical Study of Salt Ion Transport in Electromembrane Systems with Ion-Exchange Membranes Having Geometrically Structured Surfaces," Mathematics, MDPI, vol. 13(9), pages 1-19, May.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:9:p:1523-:d:1649761
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