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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
Alan J. Faller
Affiliation:
78 Bellevue Avenue, Melrose, MA 02176, USA
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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
Information
Journal of Fluid Mechanics , Volume 244 , November 1992 , pp. 713 - 720
Copyright
© 1992 Cambridge University Press

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References

Anselmet F., Gagne Y., Hopfinger, E. J. & Antonia R. A. 1984 High-order velocity structure functions in turbulent shear flows. J. Fluid Mech. 140, 63–89.Google Scholar
Batchelor G. K. 1953 The Theory of Homogeneous Turbulence. Cambridge University Press. 199 pp.
Corrsin S. 1963 Estimates of the relations between Eulerian and Lagrangian scales in large Reynolds number turbulence. J. Atmos. Sci. 20, 115–119.Google Scholar
Durbin P. A. 1980 A stochastic model of two-particle dispersion and concentration fluctuations in homogeneous turbulence. J. Fluid Mech. 100, 279–302.Google Scholar
Faller, A. J. & Choi G.-S. 1985 Random-flight studies of relative dispersion in homogeneous and isotropic two- and three-dimensional turbulence. Tech. Note BN-1035, Institute for Phys. Sci. & Tech., University of Maryland.Google Scholar
Kaplan, H. & Dinar N. 1989 The interference of two passive scalars in a homogeneous isotropic turbulent field. J. Fluid Mech. 203, 273–287.Google Scholar
Karman, T. de & Howarth L. 1938 On the statistical theory of isotropic turbulence Proc. R. Soc. Lond. A 164, 192–215.Google Scholar
Monin, A. S. & Yaglom A. M. 1971 Statistical Fluid Mechanics. M.I.T. Press.
Taylor G. I. 1921 Diffusion by continuous movements Proc. Lond. Math. Soc. (2) 20, 1196.Google Scholar