Numerical study of natural convection in a semi-porous cavity with hydrodynamic anisotropy


Etude Numérique de la convection naturelle

dans une cavité triangulaire semi poreuse


El A. Semma1*, A. Cheddadi2, A. Campo3, H. Ridouane3

1Universié Hassan 1er, FST de Settat, Laboratoire de Mécanique, Settat, Maroc.

2Univ. Mohammed V, Ecole Mohammadia d’Ingénieurs, Av. Ibn Sina, Rabat, Maroc.

3Department of Mechanical Engineering, The University of Vermont, Burlington, VT 05405.

* Corresponding author. E-mail: /

Received: 26 January 2009; revised version accepted: 03 March 2009



     This work concerns the study of the natural convection in a semi-porous triangular cavity.  The anisotropic porous layer is attached to the hot wall. The aspect ratio of the cavity is equal to 0.5 and the saturating fluid is air (Pr=0.71). The Navier-Stokes equations are solved using a finite volumes method of second order in time and space. The analysis is performed for Darcy number Da=10-6 and in the range of Rayleigh number 102=Ra=108. The effect of hydraulic anisotropy on heat transfer is discussed. We show that the thermal transfers are sensitive to the anisotropic ratio for high Rayleigh numbers.


Keywords: Natural convection; Porous media; Finite volume method; Triangular cavity.

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