Systematic modelling rules for Reynolds stress closures in freeshear layers
Abstract
Simple, general modeling rules are proposed in the form of mathematical requirements on the tensors to be accepted as models for the triple correlation tensor, the pressstrain tensor, the energy dissipation tensor and the pressure diffusion tensor, as they are used in the Reynolds stress equations. For the model terms that are algebraic in the Reynolds stress tensor, the rules are sufficiently general to encompass all the types of terms that have been previously proposed. It is shown that a lack of experimental information prevents one from concluding that the energy dissipation tensor is proportional to the Kronecker tensor for welldeveloped turbulence, although this assumption is commonly made. Therefore one does not know to which correlation tensor one should assign terms algebraic in the Reynolds stress tensor.
 Publication:

Turbulent Boundary Layers: Forced, Incompressible, NonReacting
 Pub Date:
 1979
 Bibcode:
 1979tblf.proc..139M
 Keywords:

 Closure Law;
 Reynolds Stress;
 Shear Layers;
 Turbulent Flow;
 Algebra;
 Mathematical Models;
 Partial Differential Equations;
 Tensor Analysis;
 Fluid Mechanics and Heat Transfer