Transmission of obliquely incident surface waves through a narrow gap
B. N. Mandal,P. K. Kundu +1 more
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In this paper, the problem of the transmission of a train of surface water waves obliquely incident on a thin plane vertical barrier with a narrow gap is reduced to the solution of an integral equation and the transmission and reflection coefficients are also obtained approximately and represented graphically against the different angles of incidence for fixed wave numbers.Abstract:
This note is concerned with the transmission of a train of surface water waves obliquely incident on a thin plane vertical barrier with a narrow gap. Within the framework of the linearized theory of water waves, the problem is reduced to the solution of an integral equation which is solved approximately. The transmission and reflection co-efficients are also obtained approximately and represented graphically against the different angles of incidence for fixed wave numbers.read more
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Journal ArticleDOI
The transmission of surface waves through a gap in a vertical barrier
TL;DR: In this article, the velocity potential of the resulting fluid motion is determined by a reduction procedure and also by an integral equation formulation, and it is shown that the two methods lead to the same Riemann-Hilbert problem.
Journal ArticleDOI
Transmission of water waves through small apertures
TL;DR: In this article, a method of solution for flows through small apertures in otherwise impermeable barriers was proposed for water-wave flows through a small barrier, which is an application of the method of matched asymptotic expansions.
Journal ArticleDOI
The solution of some integral equations and their connection with dual integral equations and series
TL;DR: In this paper, it was shown that Tranter's solution of (2) can also be used to obtain an alternative solution of a singular integral equation of Carlemann.
Journal ArticleDOI
The Effect of a Fixed Vertical Barrier on Obliquely Incident Surface Waves in Deep Water
D. V. Evans,C. A. N. Morris +1 more
Journal ArticleDOI
Scattering of Surface Waves by a Submerged Circular Cylinder
TL;DR: In this paper, the effect of a rigid circular cylinder, wholly immersed within and lying parallel to the free surface of an incompressible and inviscid fluid, on straight-crested surface waves passing overhead is investigated.
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