A refinement of previous hypotheses concerning the local structure of turbulence in a viscous incompressible fluid at high Reynolds number 1
The hypotheses concerning the local structure of turbulence at high Reynolds number, developed in the years 1939-41 by myself and Oboukhov (Kolmogorov 1941 a,b,c; Oboukhov 1941 a,b) were based physically on Richardson's idea of the existence in the turbulent flow of vortices on all possible scales l < r < L between the ‘external scales’ L and the ‘internal scale’ l and of a certain uniform mechanism of energy transfer from the coarser-scaled vortices to the finer.(Published Online March 28 2006)
(Received December 10 1961)
1 Editor's footnote. This paper is a translation (for which the editors take responsibility) of the Russian text of a lecture given by the author at the Colloque International du C.N.R.S. de Mécanique de la Turbulence, held at Marseilles from 28 August to 2 September 1961. The work described in it is related closely to a lecture given by A. M. Oboukhov at another symposium in the following week (see the preceding paper in this journal). The two lectures are being included in the published records of the proceedings of the respective symposia, and are published here also in view of their interest to a large number of English-speaking readers.