Heat Transfer Due to MHD Flow of a Second Grade Fluid over a Permeable Stretching Sheet through the Porous Medium With non-uniform heat source/sink

Anant Kumar Kulkarni¹ , M. Subhas Abel²

Section:Research Paper, Product Type: Isroset-Journal
Vol.6 , Issue.2 , pp.366-382, Apr-2019

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i2.366382

Online published on Apr 30, 2019

Copyright © Anant Kumar Kulkarni, M. Subhas Abel . 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 :
An analysis is carried out to study the heat transfer characteristics of a second grade non-Newtonian fluid flow over a stretching sheet through the porous medium under the influence of external magnetic field. The stretching sheet is assumed to be permeable and hence suction effect is taken into account. The effects of viscous dissipation, non-uniform heat source/sink on heat transfer are addressed. The basic boundary layer equations for momentum and heat transfer, which are non-linear partial differential equations, are converted into non-linear ordinary differential equations using a similarity transformation. Analytical solutions are obtained for the resulting boundary value problems. The effects of suction parameter, magnetic parameter, porous parameter, Prandtl number, Eckert number, non-uniform heat source/sink parameters on the heat transfer are shown in several plots. Analytical expressions for the wall frictional drag coefficient and non-dimensional wall temperature gradient are obtained and are tabulated for various values of the governing parameters.

Key-Words / Index Term :
stretching sheet, second grade fluid, porous medium, non-uniform heat source/sink, suction

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