The interaction between the different scale eddies of the turbulence

The turbulence is composed from a large number of eddies of different scales. In the inertial range, the '2/3 power-law' for velocity structure function and the '-5/3 power-law' for energy spectrum were derived by Kolmogorov and were convinced as universal roughly. In this paper, the turbulence which obeys the power-law of the autocorrelation function will be taken as a matter of the different scale Brownian motions which obeys the exponent-law of the autocorrelation function and the local self-similarity for different scales. By which we demonstrated that the turbulent exchange coefficient of different scale hierarchy changes quantitatively with its scale size and atmospheric stratification stability.EI04197-201