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Logarithmic mean temperature profiles in Rayleigh-Bénard convection simulations

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Recently, logarithmic mean temperature profiles have experimentally and numerically been found in turbulent Rayleigh-Bénard (RB) convection for large Rayleigh numbers beyond  10^10. For very large Ra beyond 10^14 these logarithmic profiles have been connected with the shear instability of the boundary layer. Here we offer an alternative interpretation of these profiles which also holds in the regime between 10^10 < Ra < 10^14 and connects them with plume hotspots.

Author(s):

Erwin van der Poel    
University of Twente
Netherlands

Rodolfo Ostilla Mónico    
University of Twente
Netherlands

Siegfried Grossmann    
University of Marburg
Germany

Detlef Lohse    
University of Twente
Netherlands