CFM 2019

Double constricted channel for laminar flow and heat transfer based on double MRT-LBM
Lahmer Elbachir  1@  , Mohammed Amine Moussaoui  1@  , Ahmed Mezrhab  2, *@  , Valéry Botton  3@  , Daniel Henry  4@  
1 : Laboratoire de Mécanique & Energétique, Faculté des sciences, Université Mohammed Premier, 60000 Oujda, Maroc
2 : Laboratoire de mécanique et énergétique
Laboratoire de mécanique et énergétique, Faculté des Sciences d'Oujda, univeristé Mohammed premiér -  Maroc
3 : Laboratoire de Mécanique des Fluides et d'Acoustique  (LMFA)
CNRS : UMR5509, Université Claude Bernard - Lyon I, Ecole Centrale de Lyon, Institut National des Sciences Appliquées (INSA) - Lyon, Université de Lyon
ECL - 36 Av Guy de Collongue 69134 ECULLY CEDEX -  France
4 : Laboratoire de Mécanique des Fluides et d'Acoustique, CNRS / Université de Lyon / Ecole Centrale de Lyon / Université Lyon 1 / INSA de Lyon  (LMFA)  -  Site web
CNRS : UMR5509
36 avenue Guy de Collongue, 69134 Ecully Cedex, France -  France
* : Auteur correspondant

The aim of this present work is coming to investigate the problem of the heat transfer enhancement over a double constricted channel. A double multi-relaxation-time lattice Boltzmann method (LBM-DMRT) is suggested to simulate numerically two-dimensional incompressible laminar flow and heat transfer. The flow and the temperature fields are treated using MRT-D2Q9 and MRT-D2Q5 models, respectively. This kind of problem is related to wide range of applications in different fields of engineering, such as the heat transfer enhancement and heat exchangers.....

The physical configuration of the present problem consists of two dimensional incompressible, viscous, laminar water flow (Pr = 6) in double constricted channel where the height and the length are defined by H and L, respectively. For the constricted part, it characterized by the constricted ratio 2h/L in which h and l are respectively, the height and the width for each block, and the distance between the first and the second constriction is w. The temperature of the bottom and the top channel walls are kept to Tw=350K, and the temperature of the incoming fluid takes the value Tin=300K. In the inlet, the velocity Uin and the temperature Tin profile is considered uniform. At the outlet, the gradients of the velocity and temperature are set to zero. Numerical simulations have been realized to understand the effects of several parameters such as the Reynolds number Re, the height l and the distance w between the constriction parts of each block.


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