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.
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Effect of Imposed Wall Temperature Oscillations on the Stability of Natural Convection in a Square Enclosure
Q. Xia,
Q. Xia
Cooper Industries, Cameron Forged Products Division, Houston, TX 77240
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K. T. Yang,
K. T. Yang
Department of Aerospace and Mechanical Engineering, University of Notre Dame, IN 46556
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D. Mukutmoni
D. Mukutmoni
Adapco, Ltd., Melville, NY 11747
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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. Feb 1995, 117(1): 113-120 (8 pages)
Published Online: February 1, 1995
Article history
Received:
February 1, 1993
Revised:
March 1, 1994
Online:
December 5, 2007
Citation
Xia, Q., Yang, K. T., and Mukutmoni, D. (February 1, 1995). "Effect of Imposed Wall Temperature Oscillations on the Stability of Natural Convection in a Square Enclosure." ASME. J. Heat Transfer. February 1995; 117(1): 113–120. https://doi.org/10.1115/1.2822289
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