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Dispersion by random velocity fields

Published online by Cambridge University Press:  29 March 2006

R. Phythian
R. Phythian
Affiliation:
Department of Physics, University College of Swansea, Wales
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Abstract

A simple approximation is proposed for the problem of the dispersion of marked particles in an incompressible fluid in random motion when the probability distribution of the velocity field is taken as Gaussian, homogeneous, isotropic, stationary and of zero mean. Approximations for the Lagrangian velocity correlation function and the dispersion are given and compared with exact computer calculations of Kraichnan. Agreement is found to be good except for time-independent velocity fields and singular wavenumber spectral functions.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 67 , Issue 1 , 14 January 1975 , pp. 145 - 153
Copyright
© 1975 Cambridge University Press

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