CFM 2019

Numerical study of natural convection and acoustic waves using Lattice Boltzmann Method
Jaouad Behamou  1@  , Mohammed Jami  1@  , Ahmed Mezrhab  1@  , Valéry Botton  2@  , Daniel Henry  2@  
1 : Laboratoire de mécanique et énergétique, Faculté des Sciences d'Oujda, univeristé Mohammed premiér  (LME)
2 : Laboratoire de Mecanique des Fluides et dÁcoustique  (LMFA)  -  Site web
Ecole Centrale de Lyon, Université Claude Bernard Lyon 1, Institut National des Sciences Appliquées de Lyon, Centre National de la Recherche Scientifique : UMR5509
36 Av Guy de Collongue 69134 ECULLY CEDEX -  France

In this paper, the Lattice Boltzmann Method (LBM) is used to simulate the propagation of acoustic waves generated by a point source localized in the center of a square differentially heated cavity. The main purpose of this numerical simulation is to study the effect of thermal convection on the propagation of acoustic waves in air. Results were validated with those obtained in the literature and show that the effect of natural convection on the propagation of acoustic wave is almost neglected for low Rayleigh numbers (Ra ≤ 10^4) and considerable for large Rayleigh numbers (Ra ≥ 10^5) where the natural convection is important. MRT-D2Q9 and MRT-D2Q5 models were used to solve the flow and the temperature fields, respectively.


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