Hostname: page-component-848d4c4894-v5vhk Total loading time: 0 Render date: 2024-06-29T02:43:13.186Z Has data issue: false hasContentIssue false
  • English
  • Français

Some relations for bodies in a canal, with an application to wave-power absorption

Published online by Cambridge University Press:  19 April 2006

M. A. Srokosz
M. A. Srokosz
Affiliation:
Department of Mathematics, University of Bristol, England
Present address: Institute of Oceanographic Sciences, Wormley, Surrey, England.
Get access Rights & Permissions [Opens in a new window]

Abstract

By the use of Green's theorem, relations are derived for the interaction of regular waves with a body in a canal. These relations are then applied to the problem of wave-power absorption by a body in a canal; this being taken as a model of an infinite row of wave-power absorbers. Two particular shapes of wave-power absorber are studied by use of thin-ship approximation. It is shown that the efficiency of power absorption by. a body in a canal may be much reduced when there is more than one travelling wave mode present in the canal.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 99 , Issue 1 , 11 July 1980 , pp. 145 - 162
Copyright
© 1980 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

Budal, K. 1977 Theory for absorption of wave power by a system of interacting bodies. J. Ship Res. 21, 248–253.Google Scholar
Evans, D. V. 1976 A theory for wave-power absorption by oscillating bodies. J. Fluid Mech. 77, 1–25.Google Scholar
Evans, D. V. 1979 Some theoretical aspects of three-dimensional wave-energy absorbers. Proc. Symp. on Ocean Wave Energy Utilization, Gothenburg, Sweden.
Falnes, J. & Budal, K. 1978 Wave power conversion by point absorbers. Norwegian Maritime Res. 6 (4), 2–11.Google Scholar
Gradshteyn, I. S. & Ryzhik, I. M. 1965 Table of Integrals, Series and Products, 4th edn. Academic.
Havelock, T. H. 1929 Forced surface-waves on water. Phil. Mag. 8, 569–576.Google Scholar
Newman, J. N. 1976 The interaction of stationary vessels with regular waves. Proc. 11th Symp. on Naval Hydrodynamics, London, pp. 491–501.
Newman, J. N. 1977 Marine Hydrodynamics. Massachussets Institute of Technology Press.
Srokosz, M. A. 1979 Ph.D. thesis, University of Bristol.
Srokosz, M. A. & Evans, D. V. 1979 A theory of wave-power absorption by two independently oscillating bodies. J. Fluid Mech. 90, 337–362.Google Scholar
Thorne, R. C. 1953 Multipole expansions in the theory of surface waves. Proc. Camb. Phil. Soc. 49, 707–716.Google Scholar
Ursell, F. 1951 Trapping modes in the theory of surface waves. Proc. Camb. Phil. Soc. 47, 347–358.Google Scholar
Ursell, F. 1952 Edge waves on a sloping beach. Proc. Roy. Soc. A 214, 79–97.Google Scholar