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Two-dimensional analyses related to wave-energy extraction by submerged resonant ducts

Published online by Cambridge University Press:  19 April 2006

James Lighthill
James Lighthill
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge
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Abstract

Submerged resonant ducts offer an approach to the design of wave-energy extraction devices consistent with the need for maximum seaworthiness. This paper gives a full account of one type of analysis of these systems, based upon two-dimensional wave hydrodynamics and linearized duct dynamics. The mathematical analyses are given in detail in § 2 while § 1 describes as concisely as possible (i) the assumptions underlying each analysis, (ii) its results and their implications for design, and (iii) any available experimental comparisons.

One theoretical prediction, unexpected when it was first made but since confirmed by experiment (Knott & Flower 1979), is that the effective pressure fluctuations to which a resonant duct responds can be substantially greater than those that would be present at the level of the duct mouth if the duct were absent. Other important predictions are concerned with added mass, radiation damping and the conditions for optimum energy extraction, calculated below for a wide variety of mouth design configurations and internal duct geometries. Broad tentative conclusions from the analyses are given at the end of § 1.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 91 , Issue 2 , 23 March 1979 , pp. 253 - 317
Copyright
© 1979 Cambridge University Press

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