Scattering of Surface Waves by a Submerged Circular Cylinder
- 1 August 1965
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 6 (8) , 1231-1243
- https://doi.org/10.1063/1.1704765
Abstract
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. A mode of analysis is developed, on the hypotheses of small amplitude and time‐periodic fluid motions, that encompasses all directions of incidence of the primary wave; and is used to extend results previously obtained in the case of normal incidence. It is shown, in particular, that the absence of surface‐wave reflection at normal incidence gives way to a partial reflection for other primary directions, which in turn verges on completeness as the direction of the incoming wave becomes more closely aligned with that of the cylinder axis.Keywords
This publication has 4 references indexed in Scilit:
- First- and second-order forces on a cylinder submerged under a free surfaceJournal of Fluid Mechanics, 1963
- On the motion of floating bodies II. Simple harmonic motionsCommunications on Pure and Applied Mathematics, 1950
- Surface waves on deep water in the presence of a submerged circular cylinder. IMathematical Proceedings of the Cambridge Philosophical Society, 1950
- On the reflexion of surface waves by a submerged circular cylinderMathematical Proceedings of the Cambridge Philosophical Society, 1948