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Model Equations for Turbulent Shear Flow
Author(s) -
Saffman P. G.
Publication year - 1974
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1002/sapm197453117
Subject(s) - compressibility , turbulence , mechanics , shear flow , law of the wall , compressible flow , computation , flow (mathematics) , mathematics , viscosity , physics , classical mechanics , mathematical analysis , thermodynamics , reynolds number , algorithm
A set of model equations for the calculation of turbulent shear flows is presented. It is shown how the equations can be modified to allow for the inclusion of viscosity, compressibility and density variations. Some results of numerical computations are given. The constant in the law of the wall is predicted to within 10% for flow over a perfectly smooth wall, and a dependence on wall roughness is obtained. The empirical law of the wall for compressible flow is also shown to be a consequence of the equations.