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Internal wave motion in a non-homogeneous viscous fluid of variable depth

Published online by Cambridge University Press:  24 October 2008

B. D. Dore
B. D. Dore
Affiliation:
Department of Mathematics, University of Reading
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Abstract

A method of solution is given to the problem of internal wave motion in a non-homogeneous viscous fluid of variable depth. The approach is based on the inviscid theory of Keller and Mow(l) and on boundary-layer analysis. For internal progressive waves in uniform depths, it reduces essentially to the theory given by Dore(2). The present results are also applicable to surface waves when the fluid is homogeneous.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 70 , Issue 1 , July 1971 , pp. 157 - 167
Copyright
Copyright © Cambridge Philosophical Society 1971

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References

REFERENCES

1Keller, J. B. and Mow, V. C.Internal wave propagation in an inhomogeneous fluid of non-uniform depth. J. Fluid Mech. 38 (1969), 365–374.CrossRefGoogle Scholar
2Dobe, B. D.A contribution to the theory of viscous damping of stratified wave flows. Acta Mech. 8 (1969), 25–33.Google Scholar
3Cox, C. S. and Sandstbom, H.Coupling of internal and surface waves in water of variable depth. J. Oceanogr. Soc. Japan, 20 (1962), 499–513.Google Scholar
4Wunsch, C.Progressive internal waves on slopes. J. Fluid Mech. 35 (1969), 131–144.CrossRefGoogle Scholar
5Dore, B. D. On progressive internal waves in non-uniform depths. Pure and Appl. Geoph. (to appear).Google Scholar
6Keller, J. B.Surface waves on water of non-uniform depth. J. Fluid Mech. 4 (1958), 607–614.CrossRefGoogle Scholar
7LeBlond, P. H.On the damping of internal gravity waves in a continuously stratified ocean. J. Fluid Mech. 25 (1966), 121–142.CrossRefGoogle Scholar
8Crampin, D. J. and Dore, B. D.Numerical comparisons of the damping of internal gravity waves in stratified fluids. Pure and Appl. Geoph. 79 (1970), 53–65.CrossRefGoogle Scholar
9Hunt, J. N.Viscous damping of waves over an inclined bed in a channel of finite width. Houille Blanche, 7 (1952), 836–842.CrossRefGoogle Scholar
10van Dorn, W. G.Boundary dissipation of oscillatory waves. J. Fluid Mech. 24 (1966), 769–779.CrossRefGoogle Scholar
11Dore, B. D.Oscillations in a non-homogeneous viscous fluid. Tellus, 20 (1968), 514–523.CrossRefGoogle Scholar