Rapid distortion of axisymmetric turbulence
Abstract
An isotropic theory was generalized to estimate the effect of sudden but arbitrary threedimensional distortion on homogeneous, initially axisymmetric turbulence. The energy changes due to distortion are expressed in terms of the Fourier coefficients of an expansion in zonal harmonics of the two independent scalar functions that describe the axisymmetric spectral tensor. However, for two forms of the spectral tensor, in which the angular distribution is specified but not the wavenumber dependence of the spectrum, the energy ratios were determined in closed form. The deviation of the ratio from its isotropic value is a product of a factor containing R, the initial value of the ratio of the longitudinal to the transverse energy component, and another factor depending only on the geometry of the distortion.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 April 1976
 Bibcode:
 1976STIN...7632502S
 Keywords:

 Axisymmetric Flow;
 Flow Distortion;
 Turbulent Flow;
 Energy;
 Fourier Analysis;
 Integral Equations;
 Legendre Functions;
 Mathematical Models;
 Spectrum Analysis;
 Tensors;
 Fluid Mechanics and Heat Transfer