Wave diffraction in a two-fluid system

Author:

Kelly R. E.

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.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference5 articles.

1. Radok, R. , Munk, W. & Isaacs, J. 1967 Deep-Sea Res. 14,121–4.

2. Miles, J. W. 1967 J. Fluid Mech. 28,755–67.

3. Rattray, M. 1960 Tellus 12,54–62.

4. Bartholomeusz, E. F. 1958 Proc. Camb. Phil. Soc. 54,106–18.

5. Lamb, H. 1932 Hydrodymamics .Cambridge University Press.

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