The energy budget in Rayleigh-Benard convection

Abstract

It is shown using three series of Rayleigh number simulations of varying aspect ratio AR and Prandtl number Pr that the normalized dissipation at the wall, while significantly greater than 1, approaches a constant dependent upon AR and Pr. It is also found that the peak velocity, not the mean square velocity, obeys the experimental scaling of Ra^{0.5}. The scaling of the mean square velocity is closer to Ra^{0.46}, which is shown to be consistent with experimental measurements and the numerical results for the scaling of Nu and the temperature if there are strong correlations between the velocity and temperature.

5 pages, 3 figures, new version 13 Mar, 2001

References in corpus (3)

• Scaling in thermal convection: A unifying theory
• High Rayleigh number turbulent convection in a gas near the gas-liquid critical point
• Spectra and statistics of velocity and temperature fluctuations in turbulent convection

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• Charge Transport Scalings in Turbulent Electroconvection
• Transition phenomena in unstably stratified turbulent flows
• Effects of kinematic and magnetic boundary conditions on the dynamics of convection-driven plane layer dynamos