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Journal of Porous Media

Impact factor: 1.061

ISSN Print: 1091-028X
ISSN Online: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v13.i1.80
pages 87-96

CHEMICAL REACTION AND MAGNETOHYDRODYNAMIC EFFECTS ON FREE CONVECTION FLOW PAST AN INCLINED SURFACE IN A POROUS MEDIUM

M. A. Mansour
Department of Mathematics, Assuit University, Faculty of Science, Assuit, Egypt
N. F. El-Anssary
Department of Mathematics, Faculty of Science, South Valley University, Qena, Egypt
Abdelraheem M. Aly
Department of Mathematics, Faculty of Science, South Valley University, Qena, Egypt; Department of Mathematics, Faculty of Science for Girls, Abha, King Khalid University, Saudi Arabia
Rama Subba Reddy Gorla
Department of Mechanical Engineering, Cleveland State University, Cleveland, OH, 44115 USA; Department of Mechanical Engineering, University of Akron, Akron, Ohio 44325, USA; Department of Mechanical & Civil Engineering, Purdue University Northwest, Westville, IN 46391, USA

ABSTRACT

A boundary layer analysis has been presented for the free convection flow past an inclined surface in a Newtonian fluid-saturated porous medium. The effects of chemical reaction, magnetohydrodynamics, radiation, viscous dissipation, and heat generation are included. Rosseland approximation is used to describe the radiative heat flux in the energy equation. Four different cases of flow have been studied, namely, an isothermal surface, a uniform surface heat flux, a plane plume, and flow generated from a horizontal line energy source on a vertical adiabatic surface. Numerical results are presented by using the perturbation analysis. The obtained results are compared, and a representative set is displayed graphically to illustrate the influences of the flow parameters on the velocity, temperature, and concentration. Numerical values for the skin-friction coefficient, Nusselt number, and Sherwood number are presented in a tabular form with parameters characterizing the radiation, viscous dissipation, permeability of porous medium, heat generation, and chemical reaction.