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Study of Double-Diffusive Natural Convection and Radiation in an Inclined Cavity Using Lattice Boltzmann Method

Abstract : This study deals with the presentation of a numerical investigation of coupled double diffusive convection and volumetric radiation in a tilted and differentially heated square enclosure filled with a gray fluid participating in absorption, emission and non scattering. The numerical procedure is based on a hybrid scheme with multiple relaxation time lattice Boltzmann (MRT-LB) and finite difference method (FDM). The fluid velocity is determined by D2Q9 MRT model and the energy equation is discretized by FDM to compute the temperature field, while the radiative part in the energy equation is calculated by the discrete ordinates method (DOM) with S8 quadrature. The enclosure walls are assumed to be opaque, diffuse and gray. The effects of various parameters such as the Rayleigh number (Ra), the buoyancy number (N), the optical thickness (τ0) and the angle of inclination (φ) on the flow structure and the heat and mass transfer are depicted. The results are reported in terms of streamlines, isotherms, iso-concentrations and averaged Nusselt (Nu) and Sherwood (Sh) numbers. The results show that the volumetric radiation modifies the temperature distribution and structure flow. Generally, the isotherms and iso-concentrations are inclined in the cavity, the flow is more stabilized in presence of cooperating flow case but the multicellular flow is favored in the opposite flows case.
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https://hal-univ-paris10.archives-ouvertes.fr/hal-01473802
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Submitted on : Wednesday, February 22, 2017 - 11:16:27 AM
Last modification on : Tuesday, November 19, 2019 - 9:46:25 AM

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F. Moufekkir, M. A. Moussaoui, A. Mezrhab, M. Bouzidi, Najib Laraqi. Study of Double-Diffusive Natural Convection and Radiation in an Inclined Cavity Using Lattice Boltzmann Method. International Journal of Thermal Sciences, Elsevier, 2013, 63, pp.65-86. ⟨10.1016/j.ijthermalsci.2012.07.015⟩. ⟨hal-01473802⟩

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