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Computation of coupled double-diffusive convection–radiation including lattice Boltzmann simulation of fluid flow

Published online by Cambridge University Press:  03 July 2013

F. Moufekkir ,
M. A. Moussaoui ,
A. Mezrhab  and
H. Naji
F. Moufekkir
Affiliation:
Laboratoire de Mécanique et Energétique, Département de Physique, Faculté des Sciences, Université Mohammed 1, 60000 Oujda, Morocco
M. A. Moussaoui
Affiliation:
Laboratoire de Mécanique et Energétique, Département de Physique, Faculté des Sciences, Université Mohammed 1, 60000 Oujda, Morocco
A. Mezrhab*
Affiliation:
Laboratoire de Mécanique et Energétique, Département de Physique, Faculté des Sciences, Université Mohammed 1, 60000 Oujda, Morocco
H. Naji
Affiliation:
Laboratoire Génie Civil et géo-Environnement (LGCgE–EA 4515), UArtois/FSA Béthune, F-62400 Béthune, France Laboratoire Génie Civil et géo-Environnement (LGCgE–EA 4515), Université Lille Nord de France, F-59000 Lille, France
*
†Email address for correspondence: amezrhab@yahoo.fr
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Abstract

This paper reports a numerical study of coupled double diffusive convection and radiation in a differentially heated square enclosure filled with non-grey air–CO2 (or air–H2O) mixtures. The numerical procedure is based on a hybrid scheme with the multiple relaxation time lattice Boltzmann method and the finite difference method. The fluid velocity is determined by the D2Q9 multiple relaxation time model, and the energy equation is discretized by the finite difference method to compute the temperature field, while the radiative part of the energy equation is calculated by the discrete ordinates method combined with the spectral line-based weighted sum of grey gases model. Depending on the boundary conditions, aiding and opposing flows occur as the result of temperature and concentration gradients. The effects of various parameters, such as the molar fraction on the flow structure, thermal and concentration fields, are investigated for aiding and opposing cases. The numerical results show that, in the presence of non-grey radiation, the heat transfer is decreased and the mass transfer is slightly modified. The gas radiation modifies the structure of the velocity and thermal fields by generating inclined stratifications and promoting instabilities in opposing flows.

JFM classification

Mathematical Foundations: Computational methods Convection: Double diffusive convection
Type
Papers
Information
Journal of Fluid Mechanics , Volume 728 , 10 August 2013 , pp. 146 - 162
Copyright
©2013 Cambridge University Press 

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