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Numerical simulation of two- and threedimensional free convection flows in a horizontal porous annulus using a pressure and temperature formulation

Charrier-Mojtabi, Marie-Catherine Numerical simulation of two- and threedimensional free convection flows in a horizontal porous annulus using a pressure and temperature formulation. (1997) International Journal of Heat and Mass Transfer, 40 (7). 1521-1533. ISSN 0017-9310

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Official URL: https://doi.org/10.1016/S0017-9310(96)00227-X

Abstract

Abstract--A numerical investigation of two-dimensional and three-dimensional free convection flows in a saturated porous horizontal annulus heated from the inner surface is carried out, using a Fourier-Galerkin approximation for the periodic azimuthal and axial directions and a coUocation-Chebyshev approximation in the confined radial direction. The numerical algorithm integrates the Darcy-Boussinesq's equations formulated in terms of pressure and temperature. This method gives an accurate description of the 2-D multicellular structures for a large range of Rayleigh number and radii ratio. Some considerations about the existence of the various 2-D solutions previously described in the literature are reported. The 3-13 spiral flows are described in the vicinity of the transition from the 2-D unicellular flows. Bifurcation points between 2-D unicellular flows and either 2-D multicellular or 3-D flows are also determined numerically.

Item Type:Article
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
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Deposited On:10 Oct 2018 13:35

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