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Grid-generated isotropic homogeneous turbulence at high Reynolds numbersConsideration is given to an empirical formula for the longitudinal correlation function for grid-generated incompressible fluid turbulence at Reynolds numbers above 12,800. The formula, which relates the longitudinal correlation function to the inverse cube of a dimensionless geometrical ratio, is shown to minimize the global correlation integrals into which the two-point velocity correlation tensor has been substituted subject to a global constraint on the Sobolev concomitent of the longitudinal correlation function. Furthermore, the energy spectrum function associated with the empirical formula is shown to satisfy a tertiary Helmholtz-type linear condition throughout the initial period of decay.
Document ID
19810064445
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Rosen, G.
(Drexel University Philadelphia, PA, United States)
Date Acquired
August 11, 2013
Publication Date
August 8, 1981
Subject Category
Fluid Mechanics And Heat Transfer
Accession Number
81A48849
Funding Number(s)
CONTRACT_GRANT: NAG1-110
Distribution Limits
Public
Copyright
Other

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