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Wave diffraction in a two-fluid system

Published online by Cambridge University Press:  29 March 2006

R. E. Kelly
R. E. Kelly
Affiliation:
Department of Engineering, University of California, Los Angeles
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Abstract

Wave diffraction due to a step change in bottom topography is considered for the case of two superimposed fluids of different, but constant, densities. The interface lies below the upper surface of the step. Shallow water theory is shown to be applicable only if the ratio of a non-dimensional frequency parameter to the departure of the density ratio from unity is sufficiently small. An approximate solution of the full equations, obtained by a method applied by Miles (1967) to surface wave diffraction, yields results limited only by the condition that the frequency parameter be small.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 36 , Issue 1 , 27 March 1969 , pp. 65 - 73
Copyright
© 1969 Cambridge University Press

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References

Bartholomeusz, E. F. 1958 Proc. Camb. Phil. Soc. 54, 106–18.
Lamb, H. 1932 Hydrodymamics. Cambridge University Press.
Miles, J. W. 1967 J. Fluid Mech. 28, 755–67.
Radok, R., Munk, W. & Isaacs, J. 1967 Deep-Sea Res. 14, 121–4.
Rattray, M. 1960 Tellus 12, 54–62.