On the localness of the spectral energy transfer in turbulence
Abstract
Data for the energy transfer function are used to estimate the degree of localness of energy transfer in homogeneous turbulence. It is found that in regions where the energy which enters a wavenumber band is greater than the energy leaving, much of the energy entering the band is produced by wavenumbers an order of magnitude smaller. Thus for both low and high Reynolds numbers, spectral energy transfer is nonlocal. The tendency of the energy to jump between separated wavenumber regions agrees with the theory that turbulence forms concentrated regions of large velocity gradients. It is also felt that the universal equilibrium theory may be applicable if the Reynolds number of the turbulence is very high.
 Publication:

NASA STI/Recon Technical Report A
 Pub Date:
 November 1977
 Bibcode:
 1977STIA...7824909D
 Keywords:

 Energy Transfer;
 Homogeneous Turbulence;
 Reynolds Number;
 Transfer Functions;
 Energy Dissipation;
 Integral Equations;
 Power Series;
 Transfer Functions;
 Vector Analysis;
 Fluid Mechanics and Heat Transfer