Numerical investigation of Rayleigh–Benard turbulent convection spectrums
2008, Vol. 4, No. 2, pp. 145-156
Author(s): Palymskiy I. B.
Two- and three-dimensional turbulent convectional flows of viscous incompressible fluid in a horizontal layer are studied numerically.
The layer is heated from below and its boundaries are assumed to be free of shear stresses. For
temperature pulsations the Kolmogorov spectrums $k^{-5/3}$ and $k^{-2,4}$ are found.
In the two-dimensional case the Obukhov-Bolgiano spectrum $k^{-11/5}$ and the spectrum
$k^{-5}$ for the velocity pulsation are obtained. The spectrum $k^{-5}$ was predicted
theoretically for large-Prandtl-number liquids. The results presented in the paper
are in good agreement with experimental data and organically extend the numerical
results obtained by other researches.
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