Analysis of homogeneous anisotropic turbulence
Abstract
Homogeneous turbulence, initially isotropic, and subjected to a constant gradient mean flow, is considered. The spectral equations established by A. Craya are then solved in two particular cases: the case of a pure deformation and that of a shear. The spectral tensor of double velocity correlations is expressed in terms of the spectral tensor associated with the triple velocity correlations at two points. The closure hypothesis may involve a certain tensor, and the closure hypothesis is studied according as this tensor is null, symmetric or nonsymmetric. A detailed numerical study of the linearized solution, including the computation of the dissipative terms, the pressurevelocity correlations, and the vortex correlations, is carried out. The comparison of the results corresponding to the two types of flow points out the importance of mean vortex in the case of the shear flow.
 Publication:

Journal de Mecanique
 Pub Date:
 1978
 Bibcode:
 1978JMec...17..245C
 Keywords:

 Anisotropic Fluids;
 Homogeneous Turbulence;
 Turbulent Flow;
 Closure Law;
 Correlation;
 Flow Distortion;
 Flow Velocity;
 Isotropic Turbulence;
 Kinetic Energy;
 Shear Flow;
 Spectrum Analysis;
 Tensors;
 Fluid Mechanics and Heat Transfer