Scattering of Capillary Waves In Front of A SemiInfinite Dock In An Ocean With Porous Undulatory Bottom
[Full Text]
AUTHOR(S)
Subhabrata Gangopadhyay, Uma Basu
KEYWORDS
Keywords: bottom undulation, capillary waves, eigen function expansion, perturbation technique, porous sea bed, reflection coefficient, semiinfinite dock, surface discontinuity, surface tension.
ABSTRACT
Abstract: The problem of scattering of capillary waves by a semiinfinite dock with a porous undulatory sea bed is attempted using perturbation technique. Two different eigen function expansions of the velocity potential function on the two sides of the surface discontinuity are constructed. An integral expression for first order reflection coefficient is arrived at involving the bottom shape function. The first order reflection coefficient is graphically depicted in case of a sinusoidal bottom topography for various values of the porous parameter and selected values of the surface tension parameter.
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