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Wake collapse in a stratified fluid: linear treatment

Published online by Cambridge University Press:  29 March 2006

R. J. Hartman  and
H. W. Lewis
R. J. Hartman
Affiliation:
Department of Physics, University of California, Santa Barbara
H. W. Lewis
Affiliation:
Department of Physics, University of California, Santa Barbara
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Abstract

The linear initial-value problem of a partially mixed cylindrical wake in a, uniformly stratified fluid is formulated and exact solutions are given for the density and velocity fields inside and just outside the original cylinder. An asymptotic expression for the far-field internal wave radiation is given and the corresponding solutions for a spherical wake geometry are noted. The treatment emphasizes the inadequancy of the usual linear Boussinesq approximation to describe the detailed nature of similar problems, in particular the fully mixed wake-collapse problem.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 51 , Issue 3 , 8 February 1972 , pp. 613 - 618
Copyright
© 1972 Cambridge University Press

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References

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