Free Two-Dimensional Convective Bifurcation in a Horizontal Annulus

[+] Author and Article Information
A. Cheddadi

Ecole Mohammadia d’Ingénieurs, Universite Mohamed V, Rabat-Agdal, Morocco

J. P. Caltagirone

Modélisation Avancée des Systémes Thermiques et des Ecoulements Réels, ENSCPB, Université de Bordeaux 1, 33400 Talence, France

A. Mojtabi

Laboratoire de Mécanique et Institut de Mécanique des Fluides, Université Paul Sabatier, 31062 Toulouse, France

K. Vafai

Department of Mechanical Engineering, The Ohio State University, Columbus, OH 43210

J. Heat Transfer 114(1), 99-106 (Feb 01, 1992) (8 pages) doi:10.1115/1.2911274 History: Received August 07, 1990; Revised March 15, 1991; Online May 23, 2008


Natural convection is investigated numerically and experimentally in a cylindrical annulus. The governing equations based on primitive variables are solved using Chorin’s method. In addition to the unicellular flows reported in the literature, depending on initial conditions, bicellular flows are observed for high Rayleigh numbers. The bifurcation point is determined numerically. The velocity field for unicellular flows is measured by laser-Doppler anemometry in an air-filled annulus. A perturbation solution is also presented. The experimental results are in good agreement with numerical predictions and the perturbation solution.

Copyright © 1992 by The American Society of Mechanical Engineers
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