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Journal of Porous Media

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Journal of Porous Media
 

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ISSN: 1091-028X Print

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click 'Save as...' here to save XML metadata   Year 2007, Volume 10 / Issue 5

DOI: 10.1615/JPorMedia.v10.i5

Pages: 105

DOI: 10.1615/JPorMedia.v10.i5.80 Article price - $35.00 Add to shopping cart

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


ABSTRACT

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.


pages 515-524


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