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The effect of two-dimensionality on the suppression of thermal turbulence

Published online by Cambridge University Press:  28 March 2006

J. W. Deardorff  and
G. E. Willis
J. W. Deardorff
Affiliation:
National Center for Atmospheric Research, Boulder, Colorado
G. E. Willis
Affiliation:
National Center for Atmospheric Research, Boulder, Colorado
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Extract

Two-dimensional thermal convection of air between horizontal plates of length much greater than their separation distance is studied numerically by solution constraining motions to lie in a single vertical plane. Rayleigh numbers from 105 to 107 are employed. Steady rolls with wavelength twice the plate-separation were obtained in both cases. As the experimental two-dimensional constraint is relaxed, short-period turbulent fluctuations in temperature develop, the rolls or cells become only quasi-steady, and their wavelength increases. For the three-dimensional case, very large width-to-height ratios and averaging periods are found necessary before the temperature variance in time approaches the variance in the horizontal.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 23 , Issue 2 , October 1965 , pp. 337 - 353
Copyright
Copyright © Cambridge University Press 1965

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