Representation of interaction in the theory of turbulence
Abstract
Kolmogorov's (1941) phenomenological theory of the local structure of turbulence is based on the hypothesis that energy transfer occurs among pulsations of similar scale. In the Euler description of turbulence, the transfer effect leads to a pronounced statistical dependence of pulsations of different scale. The representation of interaction proposed in the present paper is intermediate between the Lagrange and Euler representations of turbulence. Transport of smallscale by largescale pulsations does not occur in this representation. For the statistical characteristics of the velocity field, there arises the universal problem of strong interaction. The moments and response function of Euler velocity can be obtained by averaging with respect to transports of largescale pulsations in turbulent flow.
 Publication:

PMTF Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki
 Pub Date:
 July 1978
 Bibcode:
 1978PMTF...19...62K
 Keywords:

 Energy Transfer;
 Kolmogoroff Theory;
 Transport Properties;
 Turbulent Flow;
 Unsteady Flow;
 Integral Equations;
 Iterative Solution;
 Phenomenology;
 Velocity Distribution;
 Fluid Mechanics and Heat Transfer