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ISSN Online: 2377-424X

International Heat Transfer Conference 12
August, 18-23, 2002, Grenoble, France

The horizontal anisotropic porous layer saturated with water near 4°C − A peculiar stability problem

Get access (open in a dialog) DOI: 10.1615/IHTC12.4680
6 pages

Resumo

The onset of convection in a horizontal anisotropic porous layer, with regard to the density maximum of water at 3.98°C, is studied using a linear stability analysis. A numerical procedure is used to solve the resulting equations. The onset of motion is found to be dependent of the permeability ratio K* , the angle of orientation θ and the inversion parameter γ . In particular it is found that for γ ≤ 1, the critical Rayleigh number is not affected by the upper boundary or by the size of the stable layer but depends solely on the thickness of the lower unstable layer.