The anisotropic structure of turbulence and its energy spectrum
Abstract
The spectral energy distribution in turbulent flows is observed to follow a k^{5/3} power scaling, as originally predicted by Kolmogorov's theory. However, the underlying assumptions in Kolmogorov's theory appear not to hold with most experimental and numerical data showing evidence of smallscale anisotropy and significant direct energy transfer between the large and the smallscales. Here, we present a flow structure that reconciles the k^{5/3} spectrum with smallscale universality, smallscale anisotropy, and direct scale interactions. The flow structure is a shear layer, which contains the smallscales of motion and is bounded by the largescales. The anisotropic shear layer reveals the expected scaling of the energy spectrum in nearly all directions.
 Publication:

Physics of Fluids
 Pub Date:
 January 2016
 DOI:
 10.1063/1.4939471
 Bibcode:
 2016PhFl...28a1701E