Journal ArticleDOI
The scattering of an obliquely incident surface wave by a submerged fixed vertical plate
B. N. Mandal,Sudip Kumar Goswami +1 more
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In this article, the problem of scattering of surface waves obliquely incident on a submerged fixed vertical plate is solved approximately for a small angle of incidence by reducing it to the solution of an integral equation.Abstract:
The problem of scattering of surface waves obliquely incident on a submerged fixed vertical plate is solved approximately for a small angle of incidence by reducing it to the solution of an integral equation The correction to the reflection and transmission coefficients over their normal incidence values for a small angle of incidence are obtained For different values of the incident angle these coefficients are evaluated numerically, taking particular values of the wave number and the depth of the plate, and represented graphicallyread more
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Oblique water wave diffraction by thin vertical barriers in water of uniform finite depth
B. N. Mandal,D. P. Dolai +1 more
TL;DR: In this paper, an appropriate one-term Galerkin approximation is used to evaluate very accurate upper and lower bounds for the reflection and transmission coefficients in the problems of oblique water wave diffraction by a thin vertical barrier present in water of uniform finite depth.
Journal ArticleDOI
Oblique diffraction of surface waves by a submerged vertical plate
B. N. Mandal,Pulak Das +1 more
TL;DR: In this paper, a train of small-amplitude surface waves is obliquely incident on a fixed, thin, vertical plate submerged in deep water, and an appropriate one-term Galerkin approximation is employed to calculate very accurate upper and lower bounds for the reflection and transmission coefficients for any angle of incidence and any wave number.
Journal ArticleDOI
Scattering of water waves by a submerged nearly vertical plate
B. N. Mandal,P. K. Kundu +1 more
TL;DR: In this paper, the scattering of surface water waves by a nearly vertical plate, completely submerged in deep water, has been deduced employing two mathematical methods: integral equation formulation of the problem obtained by a suitable use of Green's integral theorem in the fluid region, while the second method concerns a simple and straightforward perturbational analysis along with the application of Green’s integral theorem.
References
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Journal ArticleDOI
The effect of a fixed vertical barrier on surface waves in deep water
F. Ursell,W. R. Dean +1 more
TL;DR: In this paper, it was shown that when the normal velocity is prescribed at each point of an infinite vertical plane extending from the surface, the motion on each side of the plane is completely determined.
Journal ArticleDOI
On the reflexion of surface waves by a submerged plane barrier
TL;DR: In this paper, the reflexion of waves on the surface of water by a thin plane vertical barrier is considered and the coefficient of reflexion (the ratio of the amplitudes, at a great distance from the barrier, of the reflected and incident waves) is calculated.
Journal ArticleDOI
Diffraction of water waves by a submerged vertical plate
TL;DR: In this article, a thin vertical plate makes small, simple harmonic rolling oscillations beneath the surface of an incompressible, irrotational liquid, and a train of plane waves of frequency equal to the frequency of oscillation of the plate, is normally incident on the plate.
Journal ArticleDOI
The scattering of surface waves by a vertical plane barrier
R. J. Jarvis,B. S. Taylor +1 more
TL;DR: In this paper, the authors used a method due to Williams to discuss the scattering of surface waves of small amplitude on water of infinite depth by a fixed vertical plane barrier extending indefinitely downwards from a finite depth.