Hostname: page-component-cd9895bd7-fscjk Total loading time: 0 Render date: 2024-12-19T06:25:38.714Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Bharucha-Reid, A. T. 1964 Proc. Symp. Appl. Math. 16, 40–69.
Frenkiel, F. N. & Klebanoff, P. S. 1967a Phys. Fluids, 10, 507–520.
Frenkiel, F. N. & Klebanoff, P. S. 1967b Phys. Fluids, 10, 1737–1747.
Kraichnan, R. H. 1961 J. Math. Phys. 2, 124–148.
Kraichnan, R. H. 1970a Phys. Fluids, 13, 22–31.
Kraichnan, R. H. 1970b J. Fluid Mech. 41, 189–217.
Krasnosel'Skii, M.A., Vainikko, G.M., Zabreiko, P. P., Rutitskii, YA. B. & Stetsenko, V. YA. Solutions of Operator Equations. Groningen : Wolters-Noordhoff.
Phythian, R. 1969 J. Phys. A2, 181–192.
Saffman, P. G. 1969 Phys. Fluids, 12, 1786–1798.