Numerical Simulation of Mixed Convection in a Lid Driven Cavity with Porous Obstacle Using (MRT-LBM)

10 Pages Posted: 23 Apr 2019 Last revised: 31 May 2019

See all articles by Abderrahmane Bourada

Abderrahmane Bourada

University of Science and Technology Houari Boumedienne

Kaoutar Bouarnouna

University of Science and Technology Houari Boumedienne

Abdelkader Boutra

Ecole Supérieur des Sciences Appliquées

Mahdi Benzema

University of Science and Technology Houari Boumedienne

Youb Khaled Benkahla

University of Science and Technology Houari Boumedienne

Date Written: April 18, 2019

Abstract

In this work, we study numerically a problem of mixed convection in lid driven square cavity, filled with air (Pr = 0.71), whose upper wall is movable and kept at constant cold temperature TC. The cavity contains a porous obstacle of height h and width b, placed on the middle of bottom wall which maintained at a constant hot temperature TH. The side walls are adiabatic. Darcy-Brinkmann model is used for modeling the momentum equations in porous medium. The Boussinesq assumption is used and the viscous dissipation is assumed to be negligible. This numerical study is based on the multiple-relaxation-time Lattice Boltzmann method (MRT-LBM). The D2Q9 two-dimensional model is adopted to the dynamic part, while the D2Q5 model is applied for the thermal part. The objective of the study is to analyze the effect of Darcy number (10−6≼ Da ≼ 10−1), Richardson number (0.01 ≼Ri≼ 103) and the aspect ratio w = b/H (0.2 ≼ w ≼ 1) on the hydrodynamic and thermal characteristics in the cavity through the velocity and temperature as well as the average Nusselt number. The results obtained show a considerable effect of these parameters on the structure of the flow and the heat transfer in the cavity, which can not be neglected.

Keywords: Mixed Convection, Square Cavity, Porous Obstacle, Lid Driven, Lattice Boltzmann Method (MRT-LBM)

Suggested Citation

Bourada, Abderrahmane and Bouarnouna, Kaoutar and Boutra, Abdelkader and Benzema, Mahdi and Benkahla, Youb Khaled, Numerical Simulation of Mixed Convection in a Lid Driven Cavity with Porous Obstacle Using (MRT-LBM) (April 18, 2019). 2nd National Conference on Computational Fluid Dynamics & Technology 2018 (CFD & Tech 2018). Available at SSRN: https://ssrn.com/abstract=3373767 or http://dx.doi.org/10.2139/ssrn.3373767

Abderrahmane Bourada (Contact Author)

University of Science and Technology Houari Boumedienne ( email )

El Alia Bab Ezzouar
Algiers
Algeria

Kaoutar Bouarnouna

University of Science and Technology Houari Boumedienne ( email )

El Alia Bab Ezzouar
Algiers
Algeria

Abdelkader Boutra

Ecole Supérieur des Sciences Appliquées ( email )

Algiers
Algeria

Mahdi Benzema

University of Science and Technology Houari Boumedienne ( email )

El Alia Bab Ezzouar
Algiers
Algeria

Youb Khaled Benkahla

University of Science and Technology Houari Boumedienne ( email )

El Alia Bab Ezzouar
Algiers
Algeria

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