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Heat Transfer Research
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ISSN Imprimer: 1064-2285
ISSN En ligne: 2162-6561

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Heat Transfer Research

DOI: 10.1615/HeatTransRes.2017019204
pages 1669-1692

MHD NATURAL CONVECTION FLOW IN A VERTICAL POROUS MICROCHANNEL FORMED BY NONCONDUCTING AND CONDUCTING PLATES IN THE PRESENCE OF INDUCED MAGNETIC FIELD

Basant K. Jha
Department of Mathematics, Ahmadu Bello University, Zaria, Nigeria
BABATUNDE AINA
FEDERAL UNIVERSITY GASHUA

RÉSUMÉ

This work is aimed at studying the formation of steady fully developed natural convection flow of an electrically conducting fluid in a vertical porous microchannel formed by electrically nonconducting and conducting infinite vertical parallel porous walls in the presence of induced magnetic field. The effects of velocity slip and temperature jump are taken into account. The influence of the induced magnetic field arising due to the motion of an electrically conducting fluid is taken into consideration. The governing equations of the motion are a set of simultaneous ordinary differential equations, and their exact solutions in dimensionless form have been obtained for the velocity field, the induced magnetic field, and the temperature field. The expressions for the induced current density and skin friction have also been obtained. The influence of each governing parameter such as suction/injection, rarefaction, fluid–wall interaction, Hartmann number, and the magnetic Prandtl number on flow formation is discussed with the aid of graphs. The results indicate that for both symmetric and asymmetric heating, an increase in the suction/injection parameter leads to an increase in the skin friction at the porous microchannel nonconducting wall. Furthermore, increasing the suction/injection parameter causes reduction in the skin friction at the porous microchannel conducting wall for the case of symmetric heating, while the reverse trend occurs in the case of asymmetric heating.