The boundary-layer regime for convection in a vertical porous layer

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Abstract

Buoyancy-driven convection in a differentially heated vertical porous layer is studied theoretically by the method developed by Gill [;5];. The model is of finite extent, and the temperature difference between the vertical walls is assumed to be large. Satisfactory agreement with experiment has been obtained for the interior temperature distribution and the Nusselt number. The applied method is also extended to include some effects of a variable viscosity. This is shown to introduce asymmetry into the solutions.

References (7)

  • A.E. Gill

    A proof that convection in a porous vertical slab is stable

    J. Fluid Mech.

    (1969)
  • S.M. Klarsfeld

    Champs de temperature associés aux mouvements de convection naturelle dans un milieu poreux limité

    Rev. Gén. Thermique

    (1970)
  • S.A. Bories et al.

    Natural convection in a sloping porous layer

    J. Fluid Mech.

    (1973)
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