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Research Article | Open Access

Analysis of the magnetohydrodynamic flow in a porous medium

E. Arul Vijayalakshmi1, S. S. Santra2, T. Botmart3( ), H. Alotaibi4, G. B. Loganathan5, M. Kannan1, J. Visuvasam6, V. Govindan7
Department of Mathematics, Government Arts College, Ariyalur, Affiliated to Bharathidhasan University, Thiruchirappalli,Tamil Nadu, India
Department of Mathematics, JIS College of Engineering, Kalyani, West Bengal-741235, India
Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand
Department of Mathematics and Statistics, College of Science, Taif University, P.O.Box 11099, Taif 21944, Saudi Arabia
Department of Mechatronics Engineering, Tishk International University, Erbil, KRG, Iraq
Department of Mathematics, Rathanavel Subramaniam College of Arts and Science, Sulur, Coimbatore-641402, Tamil Nadu, India
Department of Mathematics, Dmi St John The Baptist University, Mangochi, Central Africa, Malawi-409
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Abstract

This paper develops the combined effects of free convection magnetohydrodynamic (MHD) flow past a vertical plate embedded in a porous medium. The dimensionless coupled non-linear equations are solved to get the approximate analytical expression for the concentration by using the homotopy perturbation method. For all possible values of parameters, skin lubrication, Nusselt number and Sherwood number are derived.

Keywords

magnetohydrodynamic (MHD)non-linear differential equationsvertical plateporous mediumhomotopy perturbation method
CLC number: 76W05, 76S05

References

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AIMS Mathematics
Volume 7 Issue 8,
August 2022
Pages 15182-15194
DOI: 10.3934/math.2022832

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Cite this article:
Arul Vijayalakshmi E, Santra SS, Botmart T, et al. Analysis of the magnetohydrodynamic flow in a porous medium. AIMS Mathematics, 2022, 7(8): 15182-15194. https://doi.org/10.3934/math.2022832

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Received: 26 February 2022
Revised: 19 May 2022
Accepted: 06 June 2022
Published: 15 August 2022
©2022 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)