Wave diffraction in a two-fluid system
- 27 March 1969
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Fluid Mechanics
- Vol. 36 (1) , 65-73
- https://doi.org/10.1017/s0022112069001510
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.Keywords
This publication has 3 references indexed in Scilit:
- Surface-wave scattering matrix for a shelfJournal of Fluid Mechanics, 1967
- On the Coastal Generation of Internal TidesTellus A: Dynamic Meteorology and Oceanography, 1960
- The reflexion of long waves at a stepMathematical Proceedings of the Cambridge Philosophical Society, 1958