Hostname: page-component-cd9895bd7-dk4vv Total loading time: 0 Render date: 2024-12-26T01:07:17.815Z Has data issue: false hasContentIssue false
  • English
  • Français

On the generation of short internal waves by cylinders oscillating at the surface separating two infinite liquids

Published online by Cambridge University Press:  24 October 2008

M. A. Gorgui  and
S. E. Kassem
M. A. Gorgui
Affiliation:
Department of Mathematics, Faculty of Science, Moharrem Bey, Alexandria, Egypt
S. E. Kassem
Affiliation:
Department of Mathematics, Faculty of Science, Moharrem Bey, Alexandria, Egypt
Get access Rights & Permissions [Opens in a new window]

Abstract

This paper is an investigation of the short-wave asymptotic motion due to a cylinder heaving at the surface separating two infinite liquids. The cylinder is assumed to have a smooth cross-section of an arbitrary shape that intersects the surface of separation at right angles. A non-rigorous argument is used to get the asymptotic expansion of the velocity potentials of the motion in the two liquids in the far field. The asymptotic evaluation of the coefficients describing wave-making, virtual-mass and damping are also obtained in terms of the limit potentials of the motions in the two liquids.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 83 , Issue 3 , May 1978 , pp. 481 - 494
Copyright
Copyright © Cambridge Philosophical Society 1978

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Gorgui, M. A.On the short waves generated by the heaving motion of a cylinder symmetric about a surface separating two liquids. Bulletin of Alexandria University 11 (1971).Google Scholar
(2)Gorgui, M. A.Wave motion due to a cylinder heaving at the surface separating two infinite liquids. J. Nat. Sci. Math. 16 (1977, I and II), 1–20.Google Scholar
(3)Gorgui, M. A. and Kassem, S. E. Basic singularities in the theory of internal waves. To be published in Quart. J. Mech. Appl. Math.Google Scholar
(4)Holford, R. L. On the generation of short two-dimensional surface waves by oscillating cylinders of arbitrary cross-sections. Technical Report, Department of Mathematics, Stanford University (1965).Google Scholar
(5)John, F.On the motion of floating bodies: II. Comm. Pure Appl. Math. 3 (1950), 45–101.CrossRefGoogle Scholar
(6)Rhodes-Robinson, P. F.On the short wave asymptotic motion due to a cylinder heaving on water of finite depth: I. Proc. Cambridge Philos. Soc. 67 (1970), 423–442.CrossRefGoogle Scholar
(7)Ursell, F.Water waves generated by oscillating bodies. Quart. J. Mech. Appl. Math. 7 (1954), 427–437.CrossRefGoogle Scholar