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Approximate second-order two-point velocity relations for turbulent dispersion

Published online by Cambridge University Press:  26 April 2006

Alan J. Faller
Affiliation:
78 Bellevue Avenue, Melrose, MA 02176, USA

Abstract

The usual second-order two-point velocity correlations for homogeneous, isotropic turbulence in a non-divergent fluid are not applicable to tracer pairs in turbulent dispersion because on average the tracers separate as though in a divergent fluid. The present formulation accounts for the expansion that is associated with dispersion through a modification of the Karman–Howarth relations that includes the rate of expansion as an unspecified constant.

Type
Research Article
Copyright
© 1992 Cambridge University Press

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