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.
Issue Section:
Natural and Mixed Convection
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8.
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Yang
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a, “Rayleigh-Be´nard Convection in a Small Aspect Ratio Enclosure: Part I—Bifurcation to Oscillation Convection
,” ASME JOURNAL OF HEAT TRANSFER
, Vol. 115
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.9.
Mukutmoni
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Yang
K. T.
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b, “Rayleigh-Be´nard Convection in a Small Aspect Ratio Enclosure: Part II—Bifurcation to Chaos
,” ASME JOURNAL OF HEAT TRANSFER
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Chenoweth
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,” Journal of Fluid Mechanics
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15.
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16.
Yang, K. T., and Lloyd, J. R., 1985, “Turbulent Buoyant Flow in Vented Simple and Complex Enclosures,” in: Natural Convection—Fundamentals and Applications, W. Aung, S. Kakac, and R. Viskanta, eds., Hemisphere Publishing Corporation, Washington, DC, pp. 303–329.
17.
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,” ASME JOURNAL OF HEAT TRANSFER
, Vol. 110
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