Author(s): Razli MEHDAOUI | Mohammed ELMIR | Belkacem DRAOUI | Omar IMINE | Abdelkader MOJTABI
Journal: Leonardo Journal of Sciences
ISSN 1583-0233
Volume: 7;
Issue: 12;
Start page: 121;
Date: 2008;
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Keywords: Natural convection | Porous | Saturated | Darcy-Brinkman | Femlab 3.2.
ABSTRACT
The objective of this study is the comparison between the model of Darcy-Brinkman and the Navier-Stokes equations modified, in the case of the natural convection. The study is made in a porous vertical square cavity saturated by a Newtonian fluid. A cylindrical heat source maintained at a uniform heat flux is introduced into porous medium. The equations which describe the thermal transfer and the hydrodynamic flow of the two models are solved numerically by means of the software package Femlab 3.2 based on the finite element method. The results obtained are in the form of average kinetic energy per unit mass, the local and the average Nusselt numbers, the pressure and the viscous force per unit area.
Journal: Leonardo Journal of Sciences
ISSN 1583-0233
Volume: 7;
Issue: 12;
Start page: 121;
Date: 2008;
VIEW PDF


Keywords: Natural convection | Porous | Saturated | Darcy-Brinkman | Femlab 3.2.
ABSTRACT
The objective of this study is the comparison between the model of Darcy-Brinkman and the Navier-Stokes equations modified, in the case of the natural convection. The study is made in a porous vertical square cavity saturated by a Newtonian fluid. A cylindrical heat source maintained at a uniform heat flux is introduced into porous medium. The equations which describe the thermal transfer and the hydrodynamic flow of the two models are solved numerically by means of the software package Femlab 3.2 based on the finite element method. The results obtained are in the form of average kinetic energy per unit mass, the local and the average Nusselt numbers, the pressure and the viscous force per unit area.