Onset of Convection in an Inclined Anisotropic Porous Layer with Internal Heat Generation

Leiv Storesletten, D A S Rees

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29 Citations (SciVal)


The onset of convection in an inclined porous layer which is heated internally by a uniform distribution of heat sources is considered. We investigate the combined effects of inclination, anisotropy and internal heat generation on the linear instability of the basic parallel flow. When the Rayleigh number is sufficiently large, instability occurs and a convective motion is set up. It turns out that the preferred motion at convection onset depends quite strongly on the anisotropy ratio, ?, and the inclination angle. When ? < 1 the preferred motion is in the form of longitudinal rolls for all inclinations. When ? > 1 transverse rolls are preferred for small inclinations but, at high inclinations, longitudinal rolls are preferred. At intermediate inclinations the preferred roll orientation varies smoothly between these two extremes.

Original languageEnglish
Article number75
Pages (from-to)1-8
Number of pages8
Issue number2
Publication statusPublished - 1 Jun 2019


  • Anisotropy
  • Convection
  • Heat generation
  • Inclination
  • Onset
  • Porous media

ASJC Scopus subject areas

  • Mechanical Engineering
  • Fluid Flow and Transfer Processes
  • Condensed Matter Physics


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