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Internal waves in a viscous atmosphere

Published online by Cambridge University Press:  29 March 2006

W. L. Chang  and
T. N. Stevenson
W. L. Chang
Affiliation:
Department of the Mechanics of Fluids, University of Manchester, England
T. N. Stevenson
Affiliation:
Department of the Mechanics of Fluids, University of Manchester, England
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Abstract

The way in which internal waves change in amplitude as they propagate through an incompressible fluid or an isothermal atmosphere is considered. A similarity solution for the small amplitude isolated viscous internal wave which is generated by a localized two-dimensional disturbance or energy source was given by Thomas & Stevenson (1972). It will be shown how summations or superpositions of this solution may be used to examine the behaviour of groups of internal waves. In particular the paper considers the waves produced by an infinite number of sources distributed in a horizontal plane such that they produce a sinusoidal velocity distribution. The results of this analysis lead to a new small perturbation solution of the linearized equations.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 72 , Issue 4 , 23 December 1975 , pp. 773 - 786
Copyright
© 1975 Cambridge University Press

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References

Lindzen, R. S. 1970 Geophys. Fluid Dyn. 1, 303.
Lindzen, R. S. 1971 Geophys. Fluid Dyn. 2, 89.
Lindzen, R. S. & Blake, D. 1971 Geophys. Fluid Dyn. 2, 31.
Lyons, P. & Yanowitch, M. 1974 J. Fluid Mech. 66, 273.
Midgley, J. E. & Liemohn, H. B. 1966 J. Geophys. Res. 71, 3729.
Moore, D. W. & Spiegel, E. A. 1964 Astrophys. J. 139, 48.
Pitteway, M. L. V. & Hines, C. O. 1963 Can. J. Phys. 41, 1935.
Stevenson, T. N., Bearon, J. N. & Thomas, N. H. 1974 J. Fluid Mech. 65, 315.
Thomas, N. H. & Stevenson, T. N. 1972 J. Fluid Mech. 54, 495.
Thomas, N. H. & Stevenson, T. N. 1973 J. Fluid Mech. 61, 301.
Warren, F. W. G. 1972 Agard Current Paper, no. 115, p. 5.
Yanowitch, M. 1967 J. Fluid Mech. 29, 209.
Yeh, K. C. & Liu, C. H. 1974 Rev. Geophys. Space Phys. 12, 193.