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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

要約

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. 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 behaviour, 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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