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RESEARCH PAPERS: Natural Convection

Natural Convection in a Porous, Horizontal Cylindrical Annulus

[+] Author and Article Information
J. P. Barbosa Mota, E. Saatdjian

ENSIC, 1 Rue Grandville, B. P. 451, 54001 Nancy Cédex, France

J. Heat Transfer 116(3), 621-626 (Aug 01, 1994) (6 pages) doi:10.1115/1.2910914 History: Received June 01, 1992; Revised September 01, 1993; Online May 23, 2008

Abstract

Natural convection in a porous medium bounded by two horizontal cylinders is studied by solving the two-dimensional Boussinesq equations numerically. An accurate second-order finite difference scheme using an alternating direction method and successive underrelaxation is applied to a very fine grid. For a radius ratio above 1.7 and for Rayleigh numbers above a critical value, a closed hysteresis loop (indicating two possible solutions depending on initial conditions) is observed. For a radius ratio below 1.7 and as the Rayleigh number is increased, the number of cells in the annulus increases without bifurcation, and no hysteresis behavior is observed. Multicellular regimes and hysteresis loops have also been reported for fluid layers of same geometry but several differences between these two cases exist.

Copyright © 1994 by The American Society of Mechanical Engineers
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