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# 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.
Keywords: simulation, hydrodynamics, convection, heat transfer, spectrum
Citation: Palymskiy I. B., Numerical investigation of Rayleigh–Benard turbulent convection spectrums, Rus. J. Nonlin. Dyn., 2008, Vol. 4, No. 2, pp.  145-156
DOI:10.20537/nd0802003