Abstract
A Study of Non-linear, Non-Darcy Newtonian Liquid Flow and Heat Transfer Through Vertical Channel Using Mixed Boundary Conditions on Temperature
Highlights
Due to the presence of porous media in diverse engineering applications including packed-bed catalytic reactor, geothermal reservoirs, drying of porous solid and regenerative heat exchangers and interest in fundamental studies of heat and mass transfer in porous media has increased significantly
Reported studies related to localized heating at the boundaries of vertical parallel plate channels (Lai et al, 1988) or on vertical annuli were mostly concerned with Darcy flow regime
The fixed value selected for all cases is ்ܴ = 1
Summary
Due to the presence of porous media in diverse engineering applications including packed-bed catalytic reactor, geothermal reservoirs, drying of porous solid and regenerative heat exchangers and interest in fundamental studies of heat and mass transfer in porous media has increased significantly. Few studies in wall bounded mixed convection through vertical annuli and channels filled with porous medium have been investigated. Reported studies related to localized heating at the boundaries of vertical parallel plate channels (Lai et al, 1988) or on vertical annuli were mostly concerned with Darcy flow regime. One study was reported so far on non-Darcy flow and heat transfer in a vertical channel with uniform heating at the walls (Hadim, 1994). Vafai and Kim (1995) have presented a numerical study based on the Darcy-BrinkmanForchheimer model for the forced convection in a composite system containing fluid and porous regions. Marpu (1995) have studied the Forchheimer and Brinkman extended Darcy flow model on natural convection in a vertical cylindrical porous medium. One study was reported so far on non-Darcy flow and heat transfer in a vertical channel with uniform heating at the walls (Hadim, 1994). Vafai and Kim (1995) have presented a numerical study based on the Darcy-BrinkmanForchheimer model for the forced convection in a composite system containing fluid and porous regions. Knupp and Lage (1995) have studied generalized Forchheimer-extended Darcy flow model to the permeability case via a variation principle. Marpu (1995) have studied the Forchheimer and Brinkman extended Darcy flow model on natural convection in a vertical cylindrical porous medium. Singh and Thorpe (1995) presented a comparative analysis of flow models on natural convection in a fluid flow over a porous layer. Nield (1996) obtained a closed-form solution of Corresponding Author: Nur Asiah Mohd Makhatar, Faculty of Computer and Mathematical Sciences, University Teknologi MARA, Shah Alam, Selangor, Malaysia
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