Kolmogorov's ⅘th Law and Intermittency in Turbulence

Abstract

An exact relation valid for fluid turbulence at high Reynolds numbers is that the third moment of velocity increments scales linearly with the separation distance in the inertial range. Experiments show that this holds true also for absolute values of velocity increments. It is argued that inertial-range intermittency is a plausible consequence of this observation, and a model supplementing these considerations is provided.