Geodesic
Numerical investigation of Rayleigh--Benard turbulent convection spectrums
Russian journal of nonlinear dynamics, Tome 4 (2008) no. 2, pp. 145-156.

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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.
Mots-clés : simulation, convection
Keywords: hydrodynamics, heat transfer, spectrum. 
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     author = {I. B. Palymskiy},
     title = {Numerical investigation of {Rayleigh--Benard} turbulent convection spectrums},
     journal = {Russian journal of nonlinear dynamics},
     pages = {145--156},
     publisher = {mathdoc},
     volume = {4},
     number = {2},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ND_2008_4_2_a2/}
}
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I. B. Palymskiy. Numerical investigation of Rayleigh--Benard turbulent convection spectrums. Russian journal of nonlinear dynamics, Tome 4 (2008) no. 2, pp. 145-156. http://geodesic.mathdoc.fr/item/ND_2008_4_2_a2/