Skip to Main content Skip to Navigation
New interface
Journal articles

Heat transfer associated to natural convection flow in a partly porous cavity

Jean-François Mercier 1, 2 Catherine Weisman 2 M Firdaouss 2 Patrick Le Quéré 2 
1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
Inria Saclay - Ile de France, UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR7231
Abstract : The object of this study is the heat transfer associated to a buoyancy-induced flow developing in a rectangular cavity, partly filled with porous medium, with given heat flux from the sides. Numerical experiments show the existence of a quasi parallel solution away from the top and bottom end walls, characterized by a linear vertical temperature profile. Analytical expressions are derived for the velocity and temperature which, combined with an energy balance, enable us to relate the stratification to the other governing parameters. Influence of the porous layer's permeability and width, and of the Rayleigh number on the flow structure and heat transfer is thoroughly investigated, and summarized in simple relationships
Document type :
Journal articles
Complete list of metadata
Contributor : Aurélien Arnoux Connect in order to contact the contributor
Submitted on : Tuesday, May 13, 2014 - 2:18:43 PM
Last modification on : Tuesday, October 25, 2022 - 4:22:07 PM


  • HAL Id : hal-00990300, version 1


Jean-François Mercier, Catherine Weisman, M Firdaouss, Patrick Le Quéré. Heat transfer associated to natural convection flow in a partly porous cavity. Journal of Heat Transfer, 2002, 124 (1), pp.130-143. ⟨hal-00990300⟩



Record views