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IJSTR >> Volume 2- Issue 2, February 2013 Edition

International Journal of Scientific & Technology Research  
International Journal of Scientific & Technology Research

Website: http://www.ijstr.org

ISSN 2277-8616

Scattering Of Water Waves In A Deep Ocean In Presence Of An Inertial Surface In Front Of A Thin Floating Dock

[Full Text]



Subhabrata Gangopadhyay, Uma Basu



Keywords: - Fredholm integral equation, Greenís function, Greenís second identity, inertial surface, reflection coefficient, semi-infinite dock, surface discontinuity.



Abstract: - The phenomenon of scattering of water waves is examined in presence of discontinuity at the free surface of a deep ocean. The surface discontinuity is thought of as originating due to the presence of a semi-infinite inertial surface on one half of the free surface and a thin floating semi-infinite dock on the other half. Appropriate expressions for Green's functions are set up for the fluid occupied in the inertial surface and for the fluid occupied below the thin dock. Employing Green's second integral theorem to the above mentioned Green's functions and the potential function the problem is reduced to finding out solutions of a pair of coupled Fredholm integral equation. An integral expression for the reflection coefficient is obtained.



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