Theory of homogeneous turbulence
Abstract
A theory of homogeneous turbulence is developed within the framework of a cumulant expansion approximation. The approximation scheme consists of two superimposed expansions, one being the ordinary cumulant expansion and the other the Taylor expansion of the nonlinear terms in each cumulant expansion in time. By retaining only the lowest order terms of the expansion as the first approximation, a closed equation is obtained for the energy spectrum that is even simpler than that due to the zero fourthorder cumulant approximation. Twodimensional incompressible isotropic turbulence and onedimensional Burgers turbulence are considered.
 Publication:

In: Advances in applied mechanics. Volume 20. (A8143526 2070) New York
 Pub Date:
 1980
 Bibcode:
 1980aam....20...39T
 Keywords:

 Energy Spectra;
 Homogeneous Turbulence;
 Isotropic Turbulence;
 Statistical Analysis;
 Two Dimensional Flow;
 Energy Dissipation;
 Incompressible Flow;
 Oscillating Flow;
 Reynolds Number;
 Statistical Distributions;
 Fluid Mechanics and Heat Transfer