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RESEARCH PAPERS: Natural and Mixed Convection

The First Instability Mechanism in Differentially Heated Cavities With Conducting Horizontal Walls

[+] Author and Article Information
R. J. A. Janssen

Department of Applied Physics, Delft University of Technology, P.O. Box 5046, 2600 GA Delft, The Netherlands

R. A. W. M. Henkes

Department of Aerospace Engineering, Delft University of Technology, P.O. Box 5058, 2600 GB, Delft, The Netherlands

J. Heat Transfer 117(3), 626-633 (Aug 01, 1995) (8 pages) doi:10.1115/1.2822623 History: Received June 01, 1994; Revised October 01, 1994; Online December 05, 2007

Abstract

A classical configuration in thermal engineering is the rectangular cavity that is differentially heated over two opposing vertical walls. In this paper, the instability mechanism responsible for the transition from steady to time-periodic flow in both two and three-dimensional cavities with perfectly conducting horizontal walls is studied. For both air (Pr = 0.71) and water (Pr = 7.0), the instability is a thermal instability resulting from an unstable stratification in the boundary layers along the horizontal cavity walls. The frequency is in good agreement with the frequency predicted using Howard’s model (1966). For air, the perturbations arise at fixed depths in the cavity whereas for water they travel along the hot and cold walls of the cavity.

Copyright © 1995 by The American Society of Mechanical Engineers
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