Kolmogorov's contributions to the physical and geometrical understanding of small-scale turbulence and recent developments
Abstract
The paper reviews how Kolmogorov postulated for the first time the existence of a steady statistical state for small-scale turbulence, and its defining parameters of dissipation rate and kinematic viscosity. Theoretical arguments and experimental evidence are presented here to indicate when the small-scale motions might tend to a universal form. Also discussed are the implications for kinematics and dynamics of the fact that there must be singularities in the velocity field associated with the -5/3 inertial range spectrum.
- Publication:
-
Proceedings of the Royal Society of London Series A
- Pub Date:
- July 1991
- DOI:
- 10.1098/rspa.1991.0088
- Bibcode:
- 1991RSPSA.434..183H
- Keywords:
-
- Isotropic Turbulence;
- Kolmogoroff Theory;
- Velocity Distribution;
- Viscous Flow;
- Navier-Stokes Equation;
- Reynolds Number;
- Stochastic Processes;
- Turbulent Flow;
- Fluid Mechanics and Heat Transfer