A spectral analysis of axisymmetric homogeneous turbulence undergoing rotation
Abstract
The effects rotation has on turbulent flow structures are explored analytically. A dampededdy quasinormal Markovian expression (DEQNM) is defined for the nonlinear terms in a second order spectral tensor equation. The DEQNM is used in conjunction with a linear operator for the correlation triplets to obtain a transfer equation for the effects of rotation as the initially threedimensional flow is coerced into assuming twodimensional characteristics. The calculations indicate that nonlinear rotational effects, when experienced by a flow in an initial state of anisotropy, offset the linear effects acting on the Reynolds tensor. The model thus reveals effects that are not predicted by classical onepoint closure models.
 Publication:

Academie des Sciences Paris Comptes Rendus Serie Sciences Mathematiques
 Pub Date:
 May 1986
 Bibcode:
 1986CRASM.302.1131J
 Keywords:

 Axisymmetric Flow;
 Homogeneous Turbulence;
 Rotation;
 Spectrum Analysis;
 Closure Law;
 Correlation;
 Eddy Viscosity;
 Markov Processes;
 Fluid Mechanics and Heat Transfer