Scaling and Structures in the Hard Turbulence Region of Rayleigh Bénard Convection
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Experimental and theoretical studies of Rayleigh-Bénard convection at high Rayleigh number (108 < Ra < 1013) were performed by Bernard Castaing, Gemunu Gunaratne, François Heslot, Leo Kadanoff, Albert Libchaber, Stefan Thomae, Xiao-Zhong Wu, Stéphane Zaleski, and Gianluigi Zanetti (J. Fluid Mech. (1989)). The results of these studies are further examined in the light of visualization in Rayleigh-Bénard flow in water (Steve Gross, Giovanni Zocchi, and Albert Libchaber, C.R. Acad. Sci. Paris t. 307, Série 2, 447 (1988)). The previously developed theory is shown to be incomplete in leaving out many of the structures in the flow. We take special note of the coherent flow throughout the entire water tank. Despite the many omissions of geometrical structures from the scaling analysis, most of the order of magnitude estimates seem right.
KeywordsBoundary Layer Nusselt Number Rayleigh Number Turbulent Convection High Rayleigh Number
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