Natural convection fluid flow and heat transfer in porous media

Báez, Elsa; Nicolás, Alfredo

doi:10.2140/jomms.2007.2.1571

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Natural convection fluid flow and heat transfer in porous media

Elsa Báez and Alfredo Nicolás

Vol. 2 (2007), No. 8, 1571–1584

DOI: 10.2140/jomms.2007.2.1571

Abstract

Natural convection and heat transfer of fluid flow are studied numerically inside a rectangular cavity with inclination filled with a porous medium. The mass and momentum equations are given by the Darcy equations coupled with the thermal energy equation through the unsteady Boussinesq approximation. The two-dimensional restriction in terms of the stream function and vorticity variables is considered. The study is analyzed in terms of several values of the parameters that determine the evolution of the flow: the Rayleigh Number, the aspect ratio of the cavity and the angle of inclination.

Keywords

natural convection, heat transfer, tilted cavity, Boussinesq approximation

Milestones

Received: 21 April 2006

Accepted: 20 April 2007

Published: 1 October 2007

Authors

Elsa Báez
Depto. Matemáticas Ed. AT-Diego Bricio UAM-I, 09340 Mexico D.F. Mexico

Alfredo Nicolás
Depto. Matemáticas Ed. AT-Diego Bricio UAM-I, 09340 Mexico D.F. Mexico

Vol. 2, No. 8, 2007

Elsa Báez and Alfredo Nicolás

Abstract

Keywords

Milestones

Authors