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Computational Thermal Sciences: An International Journal
ESCI SJR: 0.249 SNIP: 0.434 CiteScore™: 0.7

ISSN Imprimir: 1940-2503
ISSN En Línea: 1940-2554

Computational Thermal Sciences: An International Journal

DOI: 10.1615/ComputThermalScien.2017018862
pages 77-92

NATURAL CONVECTION INDUCED BY VOLUMETRIC HEATING IN AN INCLINED POROUS CAVITY

Soufyane Benmenzer
LESEI Laboratory, Department of Mechanical Engineering, Technology Faculty, Batna University, Algeria
Mohamed Si-Ameur
LESEI Laboratory, Department of Mechanical Engineering, Technology Faculty, University of Batna 2, Algeria

SINOPSIS

Numerical and analytical studies are carried out to investigate natural convection in an inclined porous cavity filled with a volumetric heat source. Heat fluxes are imposed on the sidewalls to ensure a cooling process. The Darcy model is taken into account in the mathematical formulation of the problem. The density variation is modeled by Boussinesq approximation as the temperature values are limited. Numerical solutions are obtained for a wide range of governing parameters such as aspect ratio A, Rayleigh number R, inclination angle φ, and the dimensionless heat flux at the left active wall qL. The analytical solution is based on the parallel flow approximation and valid for A » 1. The results elucidate an asymptotic tendency of the rate heat transfer with Rayleigh number. The normalized Nusselt number NuL reach the maximum when φ = 80 deg and qL = 0.75. A good agreement between the analytical model and the numerical simulations is obtained in the case of a tall cavity.


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