Wave scattering by uneven porous bottom in a three layered channel

Wave scattering by uneven porous bottom in a three layered channel The scattering of plane surface waves by bottom undulations in a three-layer channel of different constant densities is investigated here by using a simplified perturbation analysis. In such a three layer fluid there exists waves of two different modes propagate along each of the interfaces. In the process of obtaining solution for the problem a Fourier transform technique is employed to derive the first-order corrections of the reflection and transmission coefficients in terms of integrals involving the shape function representing the bottom elevation. For sinusoidal undulations, these coefficients are plotted graphically to illustrate the energy transfer between the waves of different modes induced by the bottom undulations. It is shown that the scattering phenomena effected by the change in different parameters, viz, the porous effect parameter, the number of ripple present at the bottom and the depth of the lower layer. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Marine Science and Technology Springer Journals

Wave scattering by uneven porous bottom in a three layered channel

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Publisher
Springer Japan
Copyright
Copyright © 2017 by JASNAOE
Subject
Engineering; Automotive Engineering; Engineering Fluid Dynamics; Engineering Design; Offshore Engineering; Mechanical Engineering
ISSN
0948-4280
eISSN
1437-8213
D.O.I.
10.1007/s00773-016-0430-x
Publisher site
See Article on Publisher Site

Abstract

The scattering of plane surface waves by bottom undulations in a three-layer channel of different constant densities is investigated here by using a simplified perturbation analysis. In such a three layer fluid there exists waves of two different modes propagate along each of the interfaces. In the process of obtaining solution for the problem a Fourier transform technique is employed to derive the first-order corrections of the reflection and transmission coefficients in terms of integrals involving the shape function representing the bottom elevation. For sinusoidal undulations, these coefficients are plotted graphically to illustrate the energy transfer between the waves of different modes induced by the bottom undulations. It is shown that the scattering phenomena effected by the change in different parameters, viz, the porous effect parameter, the number of ripple present at the bottom and the depth of the lower layer.

Journal

Journal of Marine Science and TechnologySpringer Journals

Published: Mar 10, 2017

References

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