Abstract
The shell model of developed convective turbulence of an incompressible fluid is considered. Regimes developing at high Rayleigh numbers are investigated numerically for three- and two-dimensional motion. It is shown that in the three-dimensional turbulent convection model the inertial Obukhov-Bolgiano interval is developed on large scales, but this interval is unstable and gives way to the Kolmogorov regime in which the temperature behaves as a passive admixture. In the two-dimensional turbulent convection model a finite scale interval on which the buoyancy forces determine the nature of the fluctuations but the spectral laws established differ from those that follow from dimensional considerations for the Obukhov-Bolgiano interval is detected.
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Perm’. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 6, pp. 37–46, November–December, 1998.
The work was carried out with financial support from the Russian Foundation for Basic Research (project No. 94-01-00951a).
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Lozhkin, S.A., Frick, P.G. Inertial obukhov-bolgiano interval in shell models of convective turbulence. Fluid Dyn 33, 842–849 (1998). https://doi.org/10.1007/BF02698652
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DOI: https://doi.org/10.1007/BF02698652