Summary
In the present numerical work, the Forchheimer and Brinkman extended Darcy flow model is used for studying the natural convection heat transfer in a vertical cylindrical porous annulus. Forchheimer inertial and Brinkman viscous terms have been characterized by two non-dimensional numbers. The present description renders the formulation suitable for vertical annuli as well as for rectangular cavity. Numerical results obtained by SAR scheme indicate, that Brinkman viscous terms lead to a higher decrease in the average Nusselt number compared to the Forchheimer inertial terms. Numerical results obtained with the present non-Darcy flow model are in good agreement with the available experimental results of a high permeability porous medium for which results obtained with the Darcy flow model show considerable deviation.
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Marpu, D.R. Forchheimer and Brinkman extended Darcy flow model on natural convection in a vertical cylindrical porous annulus. Acta Mechanica 109, 41–48 (1995). https://doi.org/10.1007/BF01176815
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DOI: https://doi.org/10.1007/BF01176815