https://doi.org/10.1140/epjs/s11734-024-01271-7
Regular Article
A parametric analysis of electroosmotic and magnetohydrodynamic flows with homogeneous-heterogeneous reactions between squeezing plates
1
Department of Mathematics, Abdul Wali Khan University Mardan, Mardan, KP, Pakistan
2
Department of Basic Sciences and Islamiat, University of Engineering and Technology Peshawar, Peshawar, KP, Pakistan
3
Department of Pure and Applied Mathematics, The University of Haripur, Haripur, KP, Pakistan
4
Institute of Energy Infrastructure (IEI), Department of Civil Engineering, College of Engineering, Universiti Tenaga Nasional (UNITEN), 43000, Kajang, Selangor, Malaysia
5
Institute of Informatics and Computing in Energy (IICE), Universiti Tenaga Nasional, Kajang, Selangor, Malaysia
6
Faculty of Engineering, Department of Industrial Engineering, King Khalid University, Abha, Saudi Arabia
Received:
24
March
2024
Accepted:
18
July
2024
Published online:
31
July
2024
The Poisson–Boltzmann equation characterizes the internal electric potential in electroosmotic and magnetohydrodynamic (MHD) processes, under the assumptions of thermodynamic equilibrium and negligible fluid flow effects. However, for significant convective ion transport, the Nernst–Planck equation is requisite. This study develops predictive models for electroosmotic and MHD flows between squeezing plates, where convective ion transport is minimal. The partial differential equations (PDEs) are transformed into ordinary differential equations (ODEs) using similarity transformations and solved analytically via the homotopy analysis method (HAM). The HAM results, validated against the numerical solver BVP4c, exhibit strong concordance. Various physical effects are elucidated through graphical and tabular representations, revealing that squeezing the plates reduces electroosmotic flow profiles while increasing the magnetic Reynolds number in both homogeneous and heterogeneous reactions.
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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.