Unsteady MHD mixed convective Casson fluid flow over a flat surface in the presence of slip

Bidyut Mandal and G. C. Layek ()
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Bidyut Mandal: Department of Mathematics, The University of Burdwan, Burdwan 713104, West Bengal, India
G. C. Layek: Department of Mathematics, The University of Burdwan, Burdwan 713104, West Bengal, India

International Journal of Modern Physics C (IJMPC), 2021, vol. 32, issue 03, 1-14

Abstract: In this paper, we address a two-dimensional unsteady MHD mixed convective boundary layer flow past a flat surface of an electrically conducting Casson fluids taking radiative heat transfer. The partial slip boundary condition is imposed in the presence of suction/blowing. By adopting the continuous group of symmetry transformations, the symmetries and scaling laws are determined for the governing nonlinear partial differential equations along with boundary conditions. Finally, the set of coupled self-similar nonlinear ODEs is obtained. These equations are solved numerically for finding similar velocity and temperature for different parameter values. The effects of physical parameters on velocity and temperature are determined. The main findings are that the velocity profiles grow concavely and after reaching a critical point, the profiles overshoot by decreasing the velocity. This is due to the change of stress behavior which is an intrinsic property of the Casson fluid model. The imposition of partial slip condition on the flat surface leads to enhancement of the velocity overshoot.

Keywords: MHD boundary layer flow; convection; Casson fluid model; boundary slip condition; group invariant solutions (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1142/S0129183121500388

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