Lattice Boltzmann Simulation of Mixed Convection Heat Transfer in a Driven Cavity with Non-uniform Heating of the Bottom Wall |
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| Authors: | Soufiene Bettaibi Ezeddine Sediki Fr&# d&# ric Kuznik Sauro Succi |
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| Affiliation: | 1. UR:Rayonnement Thermique, Faculté des Sciences de Tunis, Université de Tunis El Manar 2092 Tunis, Tunisia;2. INSA-Lyon, CETHIL, F-69621 Villeurbanne, France;3. Université de Lyon, CNRS, UMR5008, F-69622 Villeurbanne, France;4. Research Director, IAC-CNR, Rome Via dei Taurini 19, 00185, Roma |
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| Abstract: | The goal of this article is to study numerically the mixed convection in a differentially heated lid-driven cavity with non-uniform heating of the bottom wall. The velocity field is solved by a hybrid scheme with multiple relaxation time Lattice Boltzmann(MRT-LBM) model, while the temperature field is obtained by resolution of the energy balance equation using the finite difference method(FDM). First, the model is checked and validated using data from the literature. Validation of the present results with those available in the literature shows a good agreement.A good efficiency in time simulation is confirmed. Thereafter, the model has been applied to mixed convection in a driven cavity with non-uniform heating wall at the fixed Grashof number Gr = 106. It is found that, the heat transfer is weakened as the Richardson number is augmented. For Gr = 106, we note the appearance of secondary vortices at different positions of the cavity corners. |
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| Keywords: | lattice Boltzmann method(LBM) finite difference method(FDM) heated Lid-driven cavity mixed convection non-uniform heating wall |
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