Kolmogorov's contributions to the physical and geometrical understanding of smallscale turbulence and recent developments
Abstract
The paper reviews how Kolmogorov postulated for the first time the existence of a steady statistical state for smallscale turbulence, and its defining parameters of dissipation rate and kinematic viscosity. Theoretical arguments and experimental evidence are presented here to indicate when the smallscale 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;
 NavierStokes Equation;
 Reynolds Number;
 Stochastic Processes;
 Turbulent Flow;
 Fluid Mechanics and Heat Transfer