Journal
ANNUAL REVIEW OF FLUID MECHANICS
Volume 42, Issue -, Pages 335-364Publisher
ANNUAL REVIEWS
DOI: 10.1146/annurev.fluid.010908.165152
Keywords
thermal convection; turbulence; structure functions; Bolgiano scaling
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Funding
- FOM
- Hong Kong Research Grants Council [CUHK 403 806, 403807]
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The properties of the structure functions and other small-scale quantities in turbulent Rayleigh-Benard 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., S-0(r) similar to r(2/5) for the second-order temperature structure function and S-u(r) similar to r(6/5) 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 L-B and the height of the cell.
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