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Surface-wave interaction with a deeply submerged circular duct

Published online by Cambridge University Press:  17 February 2009

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The interaction of a surface wave of angular frequency ω with a deeply submerged, vertical open-mouthed, circular duct of radius a is considered. The resulting boundary- value problem is solved by the Wiener-Hopf technique. The pressure-amplification factor (the ratio of the complex amplitude of the pressure in the depths of the duct to that of the incident wave in the plane of the mouth) is determined in closed form as a function of the dimensionless wave number K = ω2a/g.

Research Article
Copyright © Australian Mathematical Society 1983


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