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The development of a partially mixed region in a stratified shear flow

Published online by Cambridge University Press:  29 March 2006

R. J. Hartman
Affiliation:
Department of Physics, University of California, Santa Barbara

Abstract

The influence of a mean uniform shear on the development of a partially mixed region in an unbounded stratified fluid is considered. Results are given for the very near field and the far field in the large-J (Richardson number) limit. A qualitative discussion for J [gsim ] 1 is also included. The near-field motion is modified on a time scale given by RτJ−¼, where R = dU/dz is the mean shear strength. This modification is shown to be a consequence of the kinematic distortion of the wake profile by the mean shear. The radiation field is largely anticipated by the wave-packet discussion of an earlier paper.

Type
Research Article
Copyright
© 1975 Cambridge University Press

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References

Abramowitz, M. & Stegun, I. A. 1970 Handbook of Mathematical Functions. Washington: Nat. Bur. Stan.
Hartman, R. J. 1975 J. Fluid Mech. 71, 89
Hartman, R. J. & Lewis, H. W. 1972 J. Fluid Mech. 51, 613
Mei, C. C. 1969 12th Int. Congr. Appl. Mech. pp. 321330. Springer
Miles, J. W. 1971 Geophys. Fluid Dyn. 2, 63
Schooley, A. H. & Stewart, R. W. 1963 J. Fluid Mech. 9, 83
Wu, J. 1969 J. Fluid Mech. 35, 531