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The linear instability of a thermal boundary layer with suction in an anisotropic porous medium


Reference:

Rees, D. A. S. and Storesletten, L., 2002. The linear instability of a thermal boundary layer with suction in an anisotropic porous medium. Fluid Dynamics Research, 30 (3), pp. 155-168.

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Abstract

We consider the combined effects of suction and transverse anisotropy on the instability of the uniform thickness boundary layer which is formed on an inclined heated surface in a porous medium. When the medium is isotropic, the stability characteristics are shown to be very similar to that of the inclined Darcy-Benard problem. In particular, longitudinal rolls are always preferred, and transverse rolls are always stable when the inclination of the surface is greater than approximately 31.9°. Transverse anisotropy has no effect on the identity of the preferred mode of convection whenever the anisotropy parameter, ξ, is less than unity. When ξ > 1, there always exists a range of surface inclinations where transverse rolls are preferred. A detailed set of numerical results are given showing how the critical Rayleigh number and wavenumber vary with both inclination and ξ. © 2002 Published by The Japan Society of Fluid Mechanics and Elsevier Science B.V. All rights reserved.

Details

Item Type Articles
CreatorsRees, D. A. S.and Storesletten, L.
DOI10.1016/S0169-5983(02)00035-7
Uncontrolled Keywordsanisotropy, fluid dynamics, porous materials
DepartmentsFaculty of Engineering & Design > Mechanical Engineering
RefereedYes
StatusPublished
ID Code2612

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