%0 Journal Article
%A Lohse, Detlef
%A Xia, Ke-Qing
%T Small-Scale Properties of Turbulent Rayleigh-Bénard Convection
%D 2010
%J Annual Review of Fluid Mechanics,
%V 42
%N Volume 42, 2010
%P 335-364
%@ 1545-4479
%R https://doi.org/10.1146/annurev.fluid.010908.165152
%K thermal convection
%K Bolgiano scaling
%K structure functions
%K turbulence
%I Annual Reviews,
%X The properties of the structure functions and other small-scale quantities in turbulent Rayleigh-Bénard convection are reviewed, from an experimental, theoretical, and numerical point of view. In particular, we address the question of whether, and if so where in the flow, the so-called Bolgiano-Obukhov scaling exists, i.e., Sθ(r) ∼ r2/5 for the second-order temperature structure function and Su(r) ∼ r6/5 for the second-order velocity structure function. Apart from the anisotropy and inhomogeneity of the flow, insufficiently high Rayleigh numbers, and intermittency corrections (which all hinder the identification of such a potential regime), there are also reasons, as a matter of principle, why such a scaling regime may be limited to at most a decade, namely the lack of clear scale separation between the Bolgiano length scale LB and the height of the cell.
%U https://www.annualreviews.org/content/journals/10.1146/annurev.fluid.010908.165152