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Investigation of convection in a horizontal cylindrical layer of a saturated porous medium
Authors:R R Siraev  V I Yakushin
Institution:(1) School of Engineering, The University of Queensland, Brisbane, Australia
Abstract:The structures of the convective motions and the nature of the heat transfer in a horizontal cylindrical layer are studied numerically for the Forchheimer model of a porous medium in the Boussinesq approximation. New asymmetric solutions of the equations of convection flow through a porous medium are found. Their development, domains of existence, and stability are investigated. One consists of a multivortex structure with asymmetric vortices in the near-polar region. Another asymmetric solution is realized at large Grashof numbers in the form of a convective plume deflected from the vertical. The threshold Grashof number of formation of the asymmetric motions depends on the Prandtl number and the cylindrical layer thickness.
Keywords:horizontal cylindrical layer  saturated porous medium  Forchheimer model  convection  symmetric and asymmetric solutions  stability
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