Inertial obukhov-bolgiano interval in shell models of convective turbulence
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.
- Publication:
-
Fluid Dynamics
- Pub Date:
- November 1998
- DOI:
- 10.1007/BF02698652
- Bibcode:
- 1998FlDy...33..842L
- Keywords:
-
- Energy Flux;
- Shell Model;
- Buoyancy Force;
- Convective Turbulence;
- Linear Friction