Abstract:
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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