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.
|Number of pages||8|
|Journal||Physics of fluids|
|Publication status||Published - 2012|