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Non‐Darcy mixed convection flow along a vertical plate embedded in a non‐Newtonian fluid saturated porous medium with surface mass transfer

F.S. Ibrahim (Department of Mathematics, Assiut University, Assiut, Egypt)
S.M. Abdel‐Gaid (Department of Mathematics, Assiut University, Assiut, Egypt)
Rama Subba Reddy Gorla (Cleveland State University, Cleveland, Ohio, USA)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Publication date: 1 June 2000

Abstract

The present analysis investigates the non‐Darcy mixed convection of a non‐Newtonian fluid from a vertical isothermal plate embedded in a homogeneous porous medium, in the presence of surface injection or suction. After a suitable coordinate transformation to reduce the complexity of the governing boundary‐layer equations, the resulting nonlinear, coupled differential equations were solved with an implicit finite difference scheme. The value of mixed convection parameter χ lies between 0 and 1. In addition, the power‐law model is used for non‐Newtonian fluids with exponent n<1 for pseudoplastic fluids; n=1 for Newtonian fluids; and n>1 for dilatant fluids. The effects of the mixed‐convection parameter χ, the power‐law viscosity index n, the suction/injection parameter ξ, and the non‐Darcy parameter Re* on the velocity and temperature profiles, and the local Nusselt number are discussed.

Keywords

Citation

Ibrahim, F.S., Abdel‐Gaid, S.M. and Subba Reddy Gorla, R. (2000), "Non‐Darcy mixed convection flow along a vertical plate embedded in a non‐Newtonian fluid saturated porous medium with surface mass transfer", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 10 No. 4, pp. 397-408. https://doi.org/10.1108/09615530010327387

Publisher

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MCB UP Ltd

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