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Research Article | Open Access

Investigating slip boundary in MHD Powell–Eyring fluid flow over a stretching sheet in porous domain with heat generation

Department of Mathematics, Al-Qunfudah University College, Umm Al-Qura University, Mecca, Saudi Arabia
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Abstract

A steady, laminar, and incompressible flow of Powell–Eyring fluid model over a linearly stretching sheet is numerically investigated in a porous, two-dimensional medium. An influence of a slip velocity phenomenon, magnetic field, viscous dissipation, heat source, and radiation on the fluid flowing are considered with this investigation. The governing equations for this scenario are derived and then transformed to be dimensionless using a suitable similarity. The set of equations is solved numerically utilizing bvp4c built–in solver in MATLAB® software. To validate our results, a special case arising from this problem is obtained which shows a very good agreement with the previous studies. The effect of the considered physical quantities on the dimensionless velocity profile, temperature distribution, skin friction, and local Nusselt coefficient are described. Findings reveal that a resistance in the fluid flow and a growth in the thermal distribution have been noticed when the slip velocity phenomena, magnetic field, or permeability parameter is increased, whereas enhancing the velocity profile and thermal distribution can markedly be seen by increasing the radiation magnitude.

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AIMS Mathematics
Pages 30229-30245

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Cite this article:
Alharbi FM. Investigating slip boundary in MHD Powell–Eyring fluid flow over a stretching sheet in porous domain with heat generation. AIMS Mathematics, 2025, 10(12): 30229-30245. https://doi.org/10.3934/math.20251328

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Received: 06 October 2025
Revised: 26 November 2025
Accepted: 01 December 2025
Published: 24 December 2025
©2025 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)