Vol. 2, No. 8, 2007

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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

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.

natural convection, heat transfer, tilted cavity, Boussinesq approximation
Received: 21 April 2006
Accepted: 20 April 2007
Published: 1 October 2007
Elsa Báez
Depto. Matemáticas
Ed. AT-Diego Bricio
UAM-I, 09340 Mexico D.F.
Alfredo Nicolás
Depto. Matemáticas
Ed. AT-Diego Bricio
UAM-I, 09340 Mexico D.F.