A Statistical Approach to Kolmogoroff’s−5⁄3 Power Law

Abstract

A statistical-mechanical analysis is made of Kolmogoroff’s−5⁄3 power law in the inertial subrange of turbulent field. This paper proposes a method of removing the divergence of the response equation at low wave numbers, which is caused by the convection of small eddies by big ones and is a stumbling block to the analytical derivation of Kolmogoroff’s spectrum. Results obtained are in good agreement with the experimental value of Kolmogoroff’s constant.