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The scattering of surface waves by two submerged cylinders

Published online by Cambridge University Press:  24 October 2008

Jon T. Schnute
Jon T. Schnute
Affiliation:
Department of Mathematics, University of British Columbia
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Extract

1. Introduction. The historical basis for the work in this paper lies in a remarkable fact discovered by Dean in 1948. He found that time-periodic surface waves in an ideal fluid experience no reflexion when they encounter normally a fixed, submerged, right-circular cylinder. We might reasonably ask if a similar non-reflective property carries over to different geometrical configurations of submerged objects, for example, two or more cylinders. This question motivates the investigation which follows.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 69 , Issue 1 , January 1971 , pp. 201 - 215
Copyright
Copyright © Cambridge Philosophical Society 1971

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References

REFERENCES

(1)Dean, W. R.Proc. Cambridge Philos. Soc. 44 (1948), 483.Google Scholar
(2)John, F.Comm. Pure Appl. Math. 2 (1949), 13.Google Scholar
(3)John, F.Comm. Pure Appl. Math. 3 (1950), 45.Google Scholar
(4)Koch, H.von. Acta Math. 16 (1892), 217.Google Scholar
(5)Ogilvie, T. F.J. Fluid Mech. 16 (1963), 451.Google Scholar
(6)Levine, H. J.Mathematical Phys. 6 (1965), 1231.Google Scholar
(7)Ursell, F.Proc. Cambridge Philos. Soc. 46 (1950), 141, 153.CrossRefGoogle Scholar