Stagnation point ow of Casson fluid in a porous medium with heat source/sink and inclined magnetic field

Articles in Press

Document Type : Article

Authors

1 Department of Mathematics, University of Malakand, Chakdara Dir Lower, 18800, Khyber Pakhtunkhwa, Pakistan

2 Department of Mathematical Sciences, Balochistan University of Information Technology, Engineering and Management Sciences (BUITEMS), Quetta, 87300, Pakistan

10.24200/sci.2024.64040.8721

Abstract

We analyze stagnation point flow of Casson fluid along an unsteady stretch sheet through a porous medium with impacts of inclined magnetic filed, heat source/sink, natural convection, variable heat flux, and velocity slip. The governing partial differential equations (PDEs) representing formulated fluid flow model are converted to non-linear dimensionless ordinary differential equations (ODEs) by applying similarity transformations. The ODEs solutions are evaluated numerically and the results are presented graphically showing influences of the governing parameters on velocity and temperature profiles. Enhancing behavior of the velocity profile is observed by augmenting the Grashof number and velocity ratio parameter while it is declining for magnetic parameter, unsteadiness parameter, porosity parameter, inclined angle, Casson parameter, and velocity slip parameter. The temperature profile increases by raising the magnetic parameter, inclined angle, unsteadiness parameter, porosity parameter, heat source/sink parameter, and velocity slip parameter, while it is reducing for raising values of velocity ratio parameter and Grashof number. We also showed accuracy of present results as compared with previous numerical solutions for skin friction values against unsteadiness parameter.

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Scientia Iranica

Articles in Press, Accepted Manuscript
Available Online from 30 September 2024

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History

  • Receive Date: 01 February 2024
  • Revise Date: 13 August 2024
  • Accept Date: 30 September 2024

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