Hostname: page-component-848d4c4894-8bljj Total loading time: 0 Render date: 2024-06-19T03:50:27.505Z Has data issue: false hasContentIssue false

Wave-energy extraction by a submerged cylindrical resonant duct

Published online by Cambridge University Press:  20 April 2006

M. J. Simon
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge

Abstract

A cylindrical duct absorbing energy from incident surface waves is considered. The asymptotic properties of the scattering and radiation potentials are determined, to yield the hydrodynamic quantities on which the energy absorption characteristics of the duct can be shown to depend. It is shown that it is possible to tune the resonant response of the duct to absorb the maximum theoretical energy at a given frequency. Curves are presented showing the variation of energy absorption and the amplitude of the duct response with frequency for various depths of submergence and various tuning frequencies.

Type
Research Article
Copyright
© 1981 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Abramowitz, M. & Stegun, I. 1964 Handbook of Mathematical Functions. Washington: National Bureau of Standards.
Evans, D. V. 1976 J. Fluid Mech. 77, 125.
Evans, D. V. & Morris, C. A. N. 1972a J. Inst. Math. Applies 9, 198204.
Evans, D. V. & Morris, C. A. N. 1972b J. Inst. Math. Applies 10, 19.
Garrett, C. J. R. 1970 J. Fluid Mech. 43, 433449.
Havelock, T. H. 1929 Phil. Mag. 8 (7), 569576.
Knott, G. F. & Flower, J. O. 1980 J. Fluid Mech. 100, 225236.
Kotik, J. & Mangulis, V. 1962 Int. Shipbuilding Prog. 9, 361368.
Lighthill, M. J. 1979 J. Fluid Mech. 91, 253317.
Miles, J. W. 1967 J. Fluid Mech. 28, 755767.
Miles, J. W. 1971 J. Fluid Mech. 46, 141150.
Newman, J. N. 1962 J. Ship Res. 6, 1017.
Noble, B. 1958 Methods based on the Wiener—Hopf Technique. Pergamon.
Thomas, J. R. 1981 J. Fluid Mech. 104, 189215.
Thorne, R. C. 1953 Proc. Camb. Phil. Soc. 49, 707716.
Ursell, F. 1947 Proc. Camb. Phil. Soc. 43, 374382.