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The scattering of short surface waves by a cylinder

Published online by Cambridge University Press:  12 April 2006

G. Alker
G. Alker
Affiliation:
Department of Mathematics, Imperial College, London
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Abstract

The scattering of short surface waves by a partially immersed cylinder is considered. The cylinder is taken to be circular and to pass through two fixed points on the free surface with its centre on or above the free surface. Of particular interest is the behaviour of the solution as the cross-section of the immersed part of the cylinder approaches a semicircle. The method of matched asymptotic expansions is used.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 82 , Issue 4 , 14 October 1977 , pp. 673 - 686
Copyright
© 1977 Cambridge University Press

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References

Alker, G. 1974 Quart. J. Mech. Appl. Math. 27, 347.Google Scholar
Alker, G. 1975 J. Engng Math. 9, 197.Google Scholar
Ayad, A. M. & Leppington, F. G. 1977 J. Fluid Mech. 80, 593.Google Scholar
Crighton, D. G. & Leppington, F. G. 1973 Proc. Roy. Soc. A 335, 313.Google Scholar
Holford, R. L. 1965 Stanford Univ. Math. Dept. Res. Rep. no. 4.Google Scholar
Leppington, F. G. 1972 J. Fluid Mech. 56, 101.Google Scholar
Leppington, F. G. 1973a J. Fluid Mech. 59, 129.Google Scholar
Leppington, F. G. 1973b J. Fluid Mech. 59, 147.Google Scholar
Morris, C. A. N. 1974 Proc. Camb. Phil. Soc. 76, 545.Google Scholar
Peters, A. S. 1950 Comm. Pure Appl. Math. 3, 319.Google Scholar
Shen, M. C. 1965 New York Univ., Courant Inst. Math. Sci. Rep. IMM 342.Google Scholar
Ursell, F. 1961 Proc. Camb. Phil. Soc. 57, 638.Google Scholar
Van Dyke, M. 1964 Perturbation Methods in Fluid Mechanics. Academic Press.Google Scholar