This work is focused on studying unsteady MHD flow of Eyring-Powell fluid over a permeable stretching sheet in a porous medium. The effect of heat source/sink is taken into consideration. The main aim of this study is to analyze the effect of heat source/sink, permeability of the stretching sheet and the porosity of the medium on the flow of the fluid. The present model is the Navier-Stokes equations with some of the following extensions, namely, the fluid material parameters β and C₁, the porosity and viscosity of the medium K₁ and v, respectively, the heat source/sink effect denoted by Q and the thermal conductivity in the concentration K_p. Using similarity transformations, the governing equations are transformed from the partial differential equations (PDEs) to a system of ordinary differential equations (ODEs) which are momentum, energy and mass diffusion equations. The method employed in this study is the spectral local linearization method (SLLM) and the results agree with the results obtained using the Matlab BVP4c technique. For different physical parameters in this problem, graphs are displayed and tables are presented for the values of the skin-friction (f"(0)), Nusselt number (−θ'(0)) and Sherwood number Some of the major  results for the current study are: the stretching of the surface stabilizes the motion of the fluid, this is caused by increasing the heat transfer parameter (ε), but the temperature of the fluid increases with the increasing values of the heat transfer parameter (ε) and decreases as the heat transfer parameter (ε) decreases. As the pores in the medium increase, we notice the reduction on the velocity of the fluid since some mass of the fluid is stored on the pores.

magnetohydrodynamics (MHD), Eyring-Powell fluid, permeable stretching sheet, porous medium, spectral local linearization method (SLLM).

Received: January 18, 2022; Revised: March 1, 2022; Accepted: March 31, 2022; Published: September 30, 2022

How to cite this article: Stanford Shateyi and Nancy Mukwevho, Numerical study of unsteady MHD flow of Eyring-Powell fluid over a permeable stretching sheet in a porous medium with the effect of heat source/sink, JP Journal of Heat and Mass Transfer 29 (2022), 1-34. http://dx.doi.org/10.17654/0973576322041

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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