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Interaction of water waves with two closely spaced vertical obstacles

Published online by Cambridge University Press:  29 March 2006

J. N. Newman
J. N. Newman
Affiliation:
School of Mechanical and Industrial Engineering, University of New South Wales, Sydney
Permanent address: Department of Ocean Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139.
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Abstract

Two-dimensional waves are incident upon a pair of vertical flat plates intersecting the free surface in a fluid of infinite depth. An asymptotic theory is developed for the resulting wave reflexion and transmission, assuming that the separation between the plates is small. The fluid motion between the plates is a uniform vertical oscillation, matched to the outer wave field by a local flow at the opening beneath the plates. It is shown that the reflexion and transmission coefficients undergo rapid changes, ranging from complete reflexion to complete transmission, in the vicinity of a critical wavenumber where the fluid column between the obstacles is resonant.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 66 , Issue 1 , 21 October 1974 , pp. 97 - 106
Copyright
© 1974 Cambridge University Press

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