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Asymptotic form of the longitudinal correlation function for isotropic homogeneous turbulenceAn asymptotic form is derived for the longitudinal correlation function for isotropic homogeneous turbulence in an incompressible fluid governed by the Navier-Stokes equation. The result is obtained from an analysis of the algebraic-differential structure of the two-point correlation tensor contained in the complex-valued Fourier transform of the probability measure over the turbulence ensemble, which reveals that the Hopf characteristic functional (the complex-valued Fourier transform of the probability measure) satisfies the Fourier interference inequality. Consequences of the expression obtained, in which the correlation function is a positive definite function of the inverse cube of the spatial coordinate as it approaches infinity, are shown to include the nonexistence of the Loitsianskii invariant, and the solution is shown to be consistent with empirical formulas.
Document ID
19810043197
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Rosen, G.
(Drexel University Philadelphia, Pa., United States)
Date Acquired
August 11, 2013
Publication Date
March 1, 1981
Publication Information
Publication: Physics of Fluids
Volume: 24
Subject Category
Fluid Mechanics And Heat Transfer
Accession Number
81A27601
Funding Number(s)
CONTRACT_GRANT: NAG1-110
Distribution Limits
Public
Copyright
Other

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