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Second-order wave diffraction by a submerged circular cylinder

Published online by Cambridge University Press:  26 April 2006

M. Mciveri  and
P. Mciver
M. Mciveri
Affiliation:
School of Mathematical Sciences, University of Bath, Claverton Down. Bath, BA2 7AY, UK
P. Mciver
Affiliation:
Department of Mathematics and Statistics, Brunel University, Uxbridge. Middlesex, UBU 3PH, UK
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Abstract

Expressions are derived for the amplitudes of the second-harmonic waves generated when a uniform wave train is normally incident upon a two-dimensional body, submerged in water of infinite depth. These amplitudes are given in terms of integrals over the free surface of products of first-order quantities. For a submerged, circular cylinder, it is shown analytically that there is no second-order reflected wave at any frequency. This extends the classical result that there is no reflection at first-order for this body.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 219 , October 1990 , pp. 519 - 529
Copyright
© 1990 Cambridge University Press

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