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Effect of Inertia on the Onset of Mixed Convection in a Porous Layer Using a Thermal Nonequilibrium Model

Volumen 10, Ausgabe 5, 2007, pp. 515-524
DOI: 10.1615/JPorMedia.v10.i5.80
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ABSTRAKT

The article deals with the onset of mixed convection in a porous layer heated from below by considering the effect of inertia when the fluid and solid phases are not in local thermal equilibrium in the frame of a linear stability analysis. The mixed convection is considered in the sense of a mean horizontal pressure gradient. Critical Rayleigh number and wave number are analytically determined in both two-dimensional (2-D) and 3-D cases. In the 2-D case the parameters of the problem are the inertia-modified parameter G*, porosity-scaled conductivity ratio γ, and scaled interphase heat transfer coefficient H. In the 3-D case an additional parameter occurs, namely, the angle of roll inclination α. The inertia effect acts as a stabilizing factor in the convection onset, and this factor dominates the effect produced by the local thermal nonequilibrium conditions.

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