The numerical analysis of the effect of Grashof number, modified Grashof number and chemical reaction on the non-Darcy MHD flow of a Casson fluid over a nonlinearly stretching sheet in a porous medium

Bhim Sen Kala¹

Section:Research Paper, Product Type: Isroset-Journal
Vol.7 , Issue.3 , pp.49-70, Jun-2019

CrossRef-DOI:   https://doi.org/10.26438/ijsrpas/v7i3.4970

Online published on Jun 30, 2019

Copyright © Bhim Sen Kala . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
In this paper, we have studied the numerical analysis of the effect of Grashof number , modified Grashof number and chemical reaction on the non-Darcy MHD flow of a Casson fluid over a nonlinearly stretching sheet in a porous medium. In the mathematical model, using similarity variables, the momentum , energy and concentration equations are transformed to non-dimensional ordinary differential equations.. And then these are solved numerically using bvp4c method, a Matlab in- built bvp4c-programm. A discussion for the effects of the parameters involved on the boundary layer regions and the magnitude of the velocity, temperature and concentration and Local skin friction , Local Nusselt Number and Local Sherwood Number have been done graphically and numerically using figures and tables.

Key-Words / Index Term :
Casson fluid, magnetic parameter, darcy parameter, velocity slip parameter, forchheimrer parameter, power index parameter,inclination Grashof number, modified Grashof number

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