Reynolds numbers of the large-scale flow in turbulent Rayleigh-Benard Convection

Details Reynolds numbers of the large-scale flow in turbulent Rayleigh-Benard Convection Reynolds numbers of the large-scale flow in turbulent Rayleigh-Benard Convection

2005-07-06

arxiv.org/abs/physics/0507051v1

Physics

Fluid Dynamics

4 pages, 5 figures. Under consideration for publication in Phys. Rev. Lett

Scientific paper

We measured Reynolds numbers R_e of turbulent Rayleigh-Benard convection over the Rayleigh-number range 2 times 10^8 < R < 10^11 and Prandtl-number range 3.3 < sigma < 29 for cylindrical samples of aspect ratio Gamma = 1. For R < R_c = 3 times 10^9 we found R_e ~ R^beta_eff with beta_eff = 0.46 < 1/2. Here both the sigma- and R-dependences are quantitatively consistent with the Grossmann-Lohse (GL) prediction. For R > R_c we found R_e = 0.106 sigma^-3/4 R^1/2, which differs from the GL prediction. The relatively sharp transition at R_c to the large-R regime suggests a qualitative and sudden change that renders the GL prediction inapplicable.

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