RESEARCH PAPERS: Natural and Mixed Convection

Rayleigh-Bénard Convection in a Small Aspect Ratio Enclosure: Part II—Bifurcation to Chaos

[+] 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), 367-376 (May 01, 1993) (10 pages) doi:10.1115/1.2910688 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. The transition to chaos observed in the simulations and experiments is similar to the period-doubling (Feigenbaum) route to chaos. However, special symmetry conditions must be imposed numerically, otherwise the route to chaos is different (Ruelle-Takens-Newhouse). In particular, the Feigenbaum route to chaos can be realized only if the oscillating velocity and temperature field preserves the fourfold symmetry that is observed in the mean flow in the horizontal plane.

Copyright © 1993 by The American Society of Mechanical Engineers
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