The Onset of Convection in an Inclined Anisotropic Porous Layer with Oblique Principle Axes |
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Authors: | D A S Rees L Storesletten A Postelnicu |
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Institution: | (1) Department of Mechanical Engineering, University of Bath, Claverton Down, Bath, BA2 7AY, U.K;(2) Department of Mathematics, Agder University College, Serviceboks 422, 4604 Kristiansand, Norway;(3) Department of Thermo and Fluid Mechanics, Transylvania University of Brasov, Bdul. Eroilor No. 29, Brasov, 2200, Romania |
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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. |
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Keywords: | free convection porous layer inclined layer anisotropy oblique axes instability |
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