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

D A S Rees, L Storesletten

Research output: Contribution to journalArticle

11 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)155-168
Number of pages14
JournalFluid Dynamics Research
Volume30
Issue number3
DOIs
Publication statusPublished - 2002

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thermal boundary layer
suction
inclination
Porous materials
Boundary layers
Anisotropy
anisotropy
boundary layer thickness
fluid mechanics
isotropic media
Fluid mechanics
Rayleigh number
unity
Japan
convection
Hot Temperature

Keywords

  • Anisotropy
  • Fluid dynamics
  • Porous materials

Cite this

The linear instability of a thermal boundary layer with suction in an anisotropic porous medium. / Rees, D A S; Storesletten, L.

In: Fluid Dynamics Research, Vol. 30, No. 3, 2002, p. 155-168.

Research output: Contribution to journalArticle

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AB - 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.

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