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Vijñāna Parishad of India

Jñānābha‎, Vol. 54 (1) (2024), (274-286)

CHARACTERISTICS OF MHD VISCOUS INCOMPRESSIBLE FLUID FLOW AND HEAT TRANSFER OVER A PERMEABLE SHEET IN POROUS MEDIUM


By

Anil Sharma, Babu Lal Yadav and Praveen Kumar 

Department of Mathematics, University of Rajasthan, Jaipur, India-302004 

Email: anilsharma9414@gmail.com, math360degree1@gmail.com, praveenydvuor79@gmail.com 

(Received: November 25, 2023; In format: December 12, 2023; Revised: May 03, 2024; Accepted: May 06, 2024) 


DOI: https://doi.org/10.58250/jnanabha.2024.54133 



Abstract

The main objective of the research is to express MHD fluid flow and heat transfer over an exponentially permeable stretching sheet in porous medium. The effects of Joule heating, radiation and heat generation/absorption are also included. Suitable similarity transformations used to convert governing partial differential equations into non-linearly dimensionless ordinary differential equations.To find accurate numerical solution of the problem, the BVP-4C method is used.A comparison of present study is observed with the previous published results.The impacts of several physical flow parameters on velocity and temperature profiles are discussed through graphs. Numerical calculation for local skin friction and Nusselt number to understand the shear stress and heat transfer rate respectively. 


2020 Mathematical Sciences Classification: 76D05, 76D10, 76W05, 80A05. 

Keywords and phrase: MHD incompressible fluid, Heat generation/absorption, Joule heating, Permeable stretching sheet, porous medium. 

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