CONSTRAINTS ON THE INVARIANT FUNCTIONS OF AXISYMMETRIC TURBULENCE.

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Abstract

Constraints are derived for the two invariant functions Q//1 and Q//2 that occur in Chandrasekhar's development of the axisymmetric turbulence theory. These constraints must be satisfied for the correlation tensor derived from Q//1 and Q//2 to be that of a stationary random process, i. e. , for the turbulence to be realizable. The equivalent results in spectrum space are also developed. Applications of the constraints in aerodynamic noise modeling are discussed. It is shown that significant errors in prediction can be introduced by the use of turbulence models which violate the constraints.

Original languageEnglish (US)
Pages (from-to)978-985
Number of pages8
JournalAIAA Journal
Volume21
Issue number7
StatePublished - Jul 1983

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Turbulence
Random processes
Turbulence models
Tensors
Aerodynamics

ASJC Scopus subject areas

  • Aerospace Engineering

Cite this

CONSTRAINTS ON THE INVARIANT FUNCTIONS OF AXISYMMETRIC TURBULENCE. / Kerschen, Edward J.

In: AIAA Journal, Vol. 21, No. 7, 07.1983, p. 978-985.

Research output: Contribution to journalArticle

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