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The onset of convection in an inclined anisotropic porous layer with oblique principle axes


Reference:

Rees, D. A. S., Storesletten, L. and Postelnicu, A., 2006. The onset of convection in an inclined anisotropic porous layer with oblique principle axes. Transport in Porous Media, 62 (2), pp. 139-156.

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Abstract

We consider the onset of convection in an inclined anisotropic porous layer heated from below. To date the principle axes of the permeability and diffusivity tensors have been assumed to be aligned with the coordinate directions. Therefore particular emphasis is laid upon how the basic flow and criteria for the onset of convection are altered by the presence of oblique principle axes. When these axes are not aligned with the coordinate directions and when the ratios of the principle permeabilities or diffusivities are not too large or too small, we find that there is always a smooth transition in the orientation of the most dangerous mode of instability as the inclination increases from the horizontal. In more extreme cases there may be sudden changes in the orientation, Darcy-Rayleigh number and wavenumber. © Springer 2006.

Details

Item Type Articles
CreatorsRees, D. A. S., Storesletten, L. and Postelnicu, A.
DOI10.1007/s11242-005-0618-8
Uncontrolled Keywordsflow of water, anisotropy, natural convection, diffusion, porous materials
DepartmentsFaculty of Engineering & Design > Mechanical Engineering
RefereedYes
StatusPublished
ID Code1742

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