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On surface-wave radiation from a submerged cylindrical duct

Published online by Cambridge University Press:  20 April 2006

John W. Miles
John W. Miles
Affiliation:
Institute of Geophysics and Planetary Physics, University of California, La Jolla, California 92093
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Abstract

An integral-equation and variational formulation for the radiation of swfaee waves from a submerged cylindrical duct is developed. This formulation, which complements that of Simon (1981a) for the corresponding scattering problem, provides variational representations of the radiation impedance of the duct and (through the Green-function identities established by Simon) of the pressure-amplification factor in the scattering problem. An exact solution of the integral equation is obtained for the limiting case of a narrow duct.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 122 , September 1982 , pp. 339 - 346
Copyright
© 1982 Cambridge University Press

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References

Erdélyi, A., Magnus, W., Oberhettinger, F. & Tricomi, F. G. 1954 Tables of Integral Transforms, vol. 1, 1.12(2). McGraw-Hill.
Havelock, T. H. 1929 Forced surface waves on water. Phil. Mag. 8 (7), 569–576.Google Scholar
Simon, M. J. 1981a Wave-energy extraction by a submerged cylindrical resonant duct. J. Fluid Mech. 104, 159–187.Google Scholar
Simon, M. J. 1981b Theory related to wave-energy devices. Ph.D. dissertation, University of Cambridge.
Sneddon, I. A. 1951 Fourier Transforms, pp. 11–14. McGraw-Hill.