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Computational Thermal Sciences: An International Journal
ESCI SJR: 0.244 SNIP: 0.434 CiteScore™: 0.7

ISSN Imprimer: 1940-2503
ISSN En ligne: 1940-2554

Computational Thermal Sciences: An International Journal

DOI: 10.1615/ComputThermalScien.2012005118
pages 335-350

NUMERICAL STUDY OF COUPLED MOLECULAR GAS RADIATION AND NATURAL CONVECTION IN A DIFFERENTIALLY HEATED CUBICAL CAVITY

Laurent Soucasse
CNRS, UPR 288, Laboratoire EM2C, Chatenay-Malabry, France; Ecole Centrale Paris
Philippe Riviere
Laboratoire EM2C, CNRS, CentraleSupelec, Universite Paris Saclay, 3 rue Joliot Curie, 91192 Gif-sur-Yvette Cedex, France
Shihe Xin
Univ Lyon, CNRS, INSA-Lyon, Universite Claude Bernard Lyon 1, CETHIL UMR5008, F-69621, Villeurbanne, France
Patrick Le Quere
LESTE UA CNRS 1098 Universite de Poitiers,40 av du Recteur Pineau,86022 Poitiers Cedex- France
Anouar Soufiani
Laboratoire EM2C, CNRS, CentraleSupelec, Universite Paris Saclay, 3 rue Joliot Curie, 91192 Gif-sur-Yvette Cedex, France

RÉSUMÉ

The coupling between natural convection and gas and wall radiation is studied numerically in a differentially heated cubical cavity filled with an air/CO2/H2O mixture. In order to solve coupled flow, heat transfer, and radiation equations, we develop a 3D radiative transfer model based on the deterministic ray tracing method, coupled with a pseudo-spectral Chebyshev method for natural convection under Boussinesq approximation. An absorption distribution function (ADF) model is used to describe gas radiative properties. Coupled simulations are performed at Ra = 105, 106, and 3 × 107, considering wall and/or gas radiation. Steady solutions were obtained except at the highest Rayleigh number in the case of radiating walls. Results show a strong influence of radiative transfer on temperature and velocity fields. The global homogenization of the temperature field induced by radiation leads to a decrease of the thermal stratification parameter. Two different mechanisms leading to this behavior, involving either wall/wall or gas radiative exchanges, are identified. In addition, we observe a thickening of the vertical boundary layers and an increase of the global circulation in the cavity. The influence of the Rayleigh number and 3D effects are also discussed.


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