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Remarks on turbulent constitutive relationsThe paper demonstrates that the concept of turbulent constitutive relations can be used to construct general models for various turbulent correlations. Some of the Generalized Cayley-Hamilton formulas for relating tensor products of higher extension to tensor products of lower extension are introduced. The combination of dimensional analysis and invariant theory can lead to 'turbulent constitutive relations' (or general turbulence models) for, in principle, any turbulent correlations. As examples, the constitutive relations for Reynolds stresses and scalar fluxes are derived. The results are consistent with ones from Renormalization Group (RNG) theory and two-scale Direct-Interaction Approximation (DIA) method, but with a more general form.
Document ID
19930017821
Acquisition Source
Legacy CDMS
Document Type
Technical Memorandum (TM)
Authors
Shih, Tsan-Hsing (NASA Lewis Research Center Cleveland, OH, United States)
Lumley, John L. (Cornell Univ. Ithaca, NY., United States)
Date Acquired
September 6, 2013
Publication Date
May 1, 1993
Subject Category
Fluid Mechanics And Heat Transfer
Report/Patent Number
CMOTT-93-6
E-7770
NAS 1.15:106116
NASA-TM-106116
ICOMP-93-12
Report Number: CMOTT-93-6
Report Number: E-7770
Report Number: NAS 1.15:106116
Report Number: NASA-TM-106116
Report Number: ICOMP-93-12
Accession Number
93N27010
Funding Number(s)
CONTRACT_GRANT: NCC3-233
PROJECT: RTOP 505-90-5X
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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