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VISCOUS DISSIPATION AND MAGNETIC FIELD EFFECTS IN A NON-DARCY POROUS MEDIUM SATURATED WITH A NANOFLUID UNDER CONVECTIVE BOUNDARY CONDITION

Volumen 5, Ausgabe 1, 2014, pp. 27-39
DOI: 10.1615/SpecialTopicsRevPorousMedia.v5.i1.30
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ABSTRAKT

This paper investigates the influence of viscous dissipation and magnetic field on natural convection from a vertical plate in a non-Darcy porous medium saturated with a nanofluid. In addition, a convective boundary condition is incorporated in the nanofluid model. A nonsimilarity transformation is used to reduce the mass, momentum, thermal energy, and the nanoparticle concentration equations into a set of nonlinear partial differential equations. The obtained equations are solved numerically by an accurate implicit finite-difference method. The accuracy of the numerical results is validated by a quantitative comparison of the heat transfer rates with previously published results for a special case and the results are found to be in good agreement. The effects of magnetic field, viscous dissipation, and non-Darcy and the convection parameters on the velocity, temperature, nanoparticle volume fraction, and heat and nanoparticle mass transfer rates are illustrated graphically.

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