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ARTICLE

Heat and Mass Transfer of a non-Newtonian Fluid Flow in an Anisotropic Porous Channel with Chemical Surface Reaction

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1 Faculty of Mechanical and Process Engineering, Houari Boumediene University of Sciences and Technology (USTHB), B. P. 32, El Alia, Bab Ezzouar 16111, Algiers-Algeria.

* Corresponding author: H. Kahalerras. Email: .

Fluid Dynamics & Materials Processing 2018, 14(1), 39-56. https://doi.org/10.3970/fdmp.2018.014.039

Abstract

A numerical study of heat and mass transfer in a non-Newtonian fluid in a parallel-plate channel partly filled with an anisotropic porous medium and subjected to an exothermic chemical reaction on its walls has been conducted. The flow field in the porous region has been modeled by the modified Brinkman-Forchheimer extended Darcy model for power-law fluids and a finite volume method has been used to solve the governing equations. The influence played by a variation of the anisotropic ratio on thermal conductivity, power-law index, Darcy number, and chemical reaction characteristics has been examined. We show that the anisotropy of a porous medium can lead to significant improvements in terms of heat and mass transfer with respect to the isotropic case. The shear-thickening fluids exhibit the highest values of mean Nusselt and Sherwood numbers at large Darcy number. Finally, we show that an increase in the chemical reaction parameters leads to a reduction of the heat and mass transfer rates.

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