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THREE-DIMENSIONAL NUMERICAL SIMULATION OF THE INTERACTION BETWEEN NATURAL CONVECTION AND RADIATION IN A DIFFERENTIALLY HEATED CAVITY IN THE LOW MACH NUMBER APPROXIMATION

DOI: 10.1615/ICHMT.2008.CHT.740
8 pages

Gilles Scarella
I.N.R. A. Unité de Recherches Forestières Méditerranéennes, UR629, Domaine de Saint-Paul, Site Agroparc, F-84914, Avignon, France

Gilbert Accary
Holly-Spirit University of Kaslik, Faculty of Science and Computer Engineering, Department of Science and Technology, B.P. 446, Jounieh, Lebanon

Sofiane Meradji
Laboratoire MSNM-GP, UMR 6181 CNRS, I.M.T. La Jetée, Technopôle de Château-Gombert, 38, rue Frédéric Joliot Curie, 13451 Marseille Cedex 20, France

Dominique Morvan
Aix-Marseille Université (AMU); Laboratoire MSNM-GP,UMR6181 CNRS,I.M.T. La Jetée,Technopôle de Château-Gombert; and Université de la Méditerranée, UNIMECA, Marseille, France

O. A. Bessonov
Institute for Problems in Mechanics Russian Academy of Science, 117526 , Moscow, Russia

Abstrakt

Many studies have been devoted to the interaction between natural convection and radiation heat transfer in a differentially heated cavity. This problem has already been treated using the Boussinesq approximation. The main purpose of this study is to extend this interaction to the low Mach number approximation (in 3D), for both transparent and participating media. The Navier-Stokes and energy equations written for an ideal gas are solved using a finite volume method, while the discrete ordinates method is used to solve the radiation transfer equation. The coupling between the energy equation and the radiation transfer is done by adding an additional source term in the energy equation and via the radiation heat exchange between the surfaces bounding the computation domain. The work is first validated using the Boussinesq approximation mainly by investigating the distribution of the heat flux on the hot isothermal wall. Then some simulations are presented highlighting the differences between the low Mach number and the Boussinesq approximations.

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