We report on the theory of logarithmic temperature profiles in very strongly developed thermal convection in the geometry of a Rayleigh-Bénard cell with aspect ratio (defined by cell width divided by cell height) Γ = 1, and discuss the degree of agreement with the recently measured profiles in the ultimate state of very large Rayleigh number flow. The parameters of the log-profile are calculated and compared with the measured ones. Their physical interpretation as well as their dependence on the radial position are discussed.
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Research Article| December 11 2012
Logarithmic temperature profiles in the ultimate regime of thermal convection
Siegfried Grossmann, Detlef Lohse; Logarithmic temperature profiles in the ultimate regime of thermal convection. Physics of Fluids 1 December 2012; 24 (12): 125103. https://doi.org/10.1063/1.4767540
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