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A complete model of turbulenceA set of constitutive equations suitable for a priori computation of turbulent shear flows has been developed. Since no properties of a given turbulent flow need be known in advance in order to obtain a solution, the equations comprise a complete model of turbulence. Perturbation analysis shows that the model predicts a composite five-layer structure for an incompressible turbulent boundary layer, viz, a defect layer, a law-of-the-wall layer, a viscous sublayer, a near-surface roughness layer, and a viscous superlayer at the boundary-layer edge. Analysis of the defect layer demonstrates the key improvement of the model over its predecessor, the Saffman-Wilcox two-equation model of turbulence. Examination of model-predicted sublayer structure yields model-parameter boundary conditions appropriate for surfaces with roughness and mass injection. Results of numerical computations of compressible and incompressible equilibrium boundary layers show that, for such flows, the model is as accurate as mixing-length theory. Applications to transitional boundary layers and to nonequilibrium relaxation of a boundary layer passing from a rough to a smooth surface indicate that the model's applicability extends far beyond that of mixing-length theory's.
Document ID
19760054037
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Wilcox, D. C.
(DCW Industries, Inc. Sherman Oaks, CA, United States)
Traci, R. M.
(DCW Industries Sherman Oaks, Calif., United States)
Date Acquired
August 8, 2013
Publication Date
July 1, 1976
Subject Category
Fluid Mechanics And Heat Transfer
Report/Patent Number
AIAA PAPER 76-351
Meeting Information
Meeting: Fluid and Plasma Dynamics Conference
Location: San Diego, CA
Start Date: July 14, 1976
End Date: July 16, 1976
Sponsors: American Institute of Aeronautics and Astronautics
Accession Number
76A37003
Funding Number(s)
CONTRACT_GRANT: NAS2-9135
CONTRACT_GRANT: NAS1-13974
CONTRACT_GRANT: NAS2-8884
CONTRACT_GRANT: F44620-74-C-0048
Distribution Limits
Public
Copyright
Other

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