Analysis of the magnetohydrodynamic flow in a porous medium

E. Arul Vijayalakshmi; S. S. Santra; T. Botmart; H. Alotaibi; G. B. Loganathan; M. Kannan; J. Visuvasam; V. Govindan; E. Arul Vijayalakshmi; S. S. Santra; T. Botmart; H. Alotaibi; G. B. Loganathan; M. Kannan; J. Visuvasam; V. Govindan

doi:10.3934/math.2022832

AIMS Mathematics

2022, Volume 7, Issue 8: 15182-15194. doi: 10.3934/math.2022832

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Research article

Analysis of the magnetohydrodynamic flow in a porous medium

1.
Department of Mathematics, Government Arts College, Ariyalur, Affiliated to Bharathidhasan University, Thiruchirappalli,Tamil Nadu, India
2.
Department of Mathematics, JIS College of Engineering, Kalyani, West Bengal-741235, India
3.
Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand
4.
Department of Mathematics and Statistics, College of Science, Taif University, P.O.Box 11099, Taif 21944, Saudi Arabia
5.
Department of Mechatronics Engineering, Tishk International University, Erbil, KRG, Iraq
6.
Department of Mathematics, Rathanavel Subramaniam College of Arts and Science, Sulur, Coimbatore-641402, Tamil Nadu, India
7.
Department of Mathematics, Dmi St John The Baptist University, Mangochi, Central Africa, Malawi-409

Received: 26 February 2022 Revised: 19 May 2022 Accepted: 06 June 2022 Published: 16 June 2022
MSC : 76W05, 76S05

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.
- magnetohydrodynamic (MHD),
- non-linear differential equations,
- vertical plate,
- porous medium,
- homotopy perturbation method
Citation: E. Arul Vijayalakshmi, S. S. Santra, T. Botmart, H. Alotaibi, G. B. Loganathan, M. Kannan, J. Visuvasam, V. Govindan. Analysis of the magnetohydrodynamic flow in a porous medium[J]. AIMS Mathematics, 2022, 7(8): 15182-15194. doi: 10.3934/math.2022832

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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.

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