RESEARCH PAPERS: Natural and Mixed Convection

Rayleigh-Bénard Convection in a Small Aspect Ratio Enclosure: Part I—Bifurcation to Oscillatory Convection

[+] Author and Article Information
D. Mukutmoni, K. T. Yang

Department of Aerospace and Mechanical Engineering, University of Notre Dame, Notre Dame, IN 46556

J. Heat Transfer 115(2), 360-366 (May 01, 1993) (7 pages) doi:10.1115/1.2910687 History: Received August 01, 1991; Revised October 01, 1992; Online May 23, 2008


The present numerical study documents bifurcation sequences for Rayleigh-Bénard convection in a rectangular enclosure with insulated sidewalls. The aspect ratios are 3.5 and 2.1 and the Boussinesq fluid is water (average temperature of 70°C) with a Prandtl number of 2.5. Two transitions are documented numerically. The first transition is from steady-state to oscillatory flow and the second is a subharmonic bifurcation as the Rayleigh number is increased further. The dynamics of the flow and temperature field is analyzed in detail for the subcritical steady convection and the supercritical oscillatory convection. The numerical results compared well with experiments, both qualitatively and quantitatively.

Copyright © 1993 by The American Society of Mechanical Engineers
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