RESEARCH PAPERS: Natural and Mixed Convection

Effect of Imposed Wall Temperature Oscillations on the Stability of Natural Convection in a Square Enclosure

[+] Author and Article Information
Q. Xia

Cooper Industries, Cameron Forged Products Division, Houston, TX 77240

K. T. Yang

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

D. Mukutmoni

Adapco, Ltd., Melville, NY 11747

J. Heat Transfer 117(1), 113-120 (Feb 01, 1995) (8 pages) doi:10.1115/1.2822289 History: Received February 01, 1993; Revised March 01, 1994; Online December 05, 2007


The present numerical study is directed toward buoyancy-driven laminar flows in a two-dimensional square enclosure with differential heating at the vertical walls. The top and bottom walls are insulated. A time-dependent temperature varying sinusoidal perturbation is imposed on the hot vertical wall. The cold vertical wall is maintained at a constant temperature. The fluid is air with a Prandtl number of 0.72. Computations were carried out at one imposed frequency, which is of the same order as the first natural frequency of the system. It was found that the perturbations destabilized the flow in that higher amplitudes lead to lower critical Rayleigh numbers for the flow transitions. Computations spanned four regimes: periodic, quasi-periodic with two frequencies, quasi-periodic with three-frequencies, and chaotic.

Copyright © 1995 by The American Society of Mechanical Engineers
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