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• W2584292404 abstract "We investigate the statistical properties of the kinetic $unicode[STIX]{x1D700}_{u}$ and thermal $unicode[STIX]{x1D700}_{unicode[STIX]{x1D703}}$ energy dissipation rates in two-dimensional (2-D) turbulent Rayleigh–Bénard (RB) convection. Direct numerical simulations were carried out in a box with unit aspect ratio in the Rayleigh number range $10^{6}leqslant Raleqslant 10^{10}$ for Prandtl numbers $Pr=0.7$ and 5.3. The probability density functions (PDFs) of both dissipation rates are found to deviate significantly from a log-normal distribution. The PDF tails can be well described by a stretched exponential function, and become broader for higher Rayleigh number and lower Prandtl number, indicating an increasing degree of small-scale intermittency with increasing Reynolds number. Our results show that the ensemble averages $langle unicode[STIX]{x1D700}_{u}rangle _{V,t}$ and $langle unicode[STIX]{x1D700}_{unicode[STIX]{x1D703}}rangle _{V,t}$ scale as $Ra^{-0.18sim -0.20}$ , which is in excellent agreement with the scaling estimated from the two global exact relations for the dissipation rates. By separating the bulk and boundary-layer contributions to the total dissipations, our results further reveal that $langle unicode[STIX]{x1D700}_{u}rangle _{V,t}$ and $langle unicode[STIX]{x1D700}_{unicode[STIX]{x1D703}}rangle _{V,t}$ are both dominated by the boundary layers, corresponding to regimes $I_{l}$ and $I_{u}$ in the Grossmann–Lohse (GL) theory ( J. Fluid Mech. , vol. 407, 2000, pp. 27–56). To include the effects of thermal plumes, the plume–background partition is also considered and $langle unicode[STIX]{x1D700}_{unicode[STIX]{x1D703}}rangle _{V,t}$ is found to be plume dominated. Moreover, the boundary-layer/plume contributions scale as those predicted by the GL theory, while the deviations from the GL predictions are observed for the bulk/background contributions. The possible reasons for the deviations are discussed." @default.
• W2584292404 created "2017-02-10" @default.
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• W2584292404 date "2017-02-03" @default.
• W2584292404 modified "2023-10-14" @default.
• W2584292404 title "Statistics of kinetic and thermal energy dissipation rates in two-dimensional turbulent Rayleigh–Bénard convection" @default.
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• W2584292404 doi "https://doi.org/10.1017/jfm.2017.19" @default.
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