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Special Topics & Reviews in Porous Media: An International Journal

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ISSN Печать: 2151-4798

ISSN Онлайн: 2151-562X

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EFFECT OF TRANSVERSE HYDROMAGNETIC AND MEDIA PERMEABILITY ON MIXED CONVECTIVE FLOW IN A CHANNEL FILLED BY POROUS MEDIUM

Том 12, Выпуск 2, 2021, pp. 1-23
DOI: 10.1615/SpecialTopicsRevPorousMedia.2020033458
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Краткое описание

Mixed convective flow in a vertical porous channel with transverse hydromagnetic effect is examined in this article. The fluid in the channel is assumed to be electrically conductive, and the flow is due to the buoyancy force and an external pressure gradient acting in the main flow direction. The non-Darcy Brinkman-Forchheimer extended model is considered to characterize the flow in porous media. The governing differential equations are completely solved by using the Chebyshev spectral collocation method and are in agreement with the analytic solution for the special case. The main aim of this rigorous study is to find the impact of different controlling parameters of media permeability (Darcy number, Da, Forchheimer number, F*) as well as controlling parameters, Hartmann number (M), heat generating/absorption parameter (H), Eckert number (Ec) and mixed convective parameter (Gr/Re) on basic velocity, temperature, and Nusselt number. From the extensive numerical investigation, an unnatural deviation in the velocity, temperature, and Nusselt number for the value of H > 14 for the heat generating case is found while the Nusselt number is a linear function in the case of heat absorption. Further, on the basis of other fixed controlling parameters, the velocity and temperature are enhanced upon increasing M up to the values M = 5 for the velocity and M = 18 for the temperature, and beyond these values of M, both velocity and temperature are reduced asymptotically. The corresponding heat transfer rate is also enhanced on increasing M up to threshold value, which depends on the values of Da. The heat transfer rate is reduced smoothly beyond the threshold values of M. The velocity, temperature, and heat transfer rate are increased on increasing Gr/Re. The flow strength and heat transfer rate are increased on increasing Ec for both heat generating and heat absorption cases. The flow strength and heat transfer rate are decreased on decreasing media permeability via reducing Da and increasing F*.

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