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Wave-power absorption by systems of oscillating surface pressure distributions

Published online by Cambridge University Press:  20 April 2006

D. V. Evans
Affiliation:
School of Mathematics, University of Bristol

Abstract

Some general results are derived for the efficiency of energy absorption of a system of uniform oscillatory surface pressure distributions. The results, which are based on classical linear water-wave theory, show the close analogies which exist with theories for systems of absorbing oscillatory rigid bodies and a number of new reciprocal relations for pressure distributions are suggested and proved. Some simple examples illustrating the general results are given and compared with the corresponding results for rigid bodies.

Type
Research Article
Copyright
© 1972 Cambridge University Press

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References

Budal, K. & Falnes, J. 1975 A resonant point absorber of ocean-wave power. Nature 256, 478479; Corrigendum 257, 626.Google Scholar
Count, B. M. & Jefferys, E. R. 1980 Wave power, the primary interface. Proc. 13th Symp. Naval Hydrodynamics Tokyo, paper 8, pp. 110.Google Scholar
Count, B. M., Fry, R., Haskell, J. & Jackson, N. 1981 The M.E.L. oscillating water column. C.E.G.B. Rep. no. RD/M/1157N81.Google Scholar
Evans, D. V. 1976 A theory for wave-power absorption by oscillating bodies. J. Fluid Mech. 77, 125.Google Scholar
Evans, D. V. 1978 The oscillating water column wave-energy device. J. Inst. Math. Applic. 22, 423433.Google Scholar
Evans, D. V. 1979 Some analytical results for two and three dimensional wave energy absorbers. In Power from Sea Waves (ed. B. M. Count). Academic.
Evans, D. V. 1981 Power from water waves. Ann. Rev. Fluid Mech. 13, 157187.Google Scholar
Falcão, A. F. De O. & Sarmento, A. J. N. A. 1980 Wave generation by a periodic surface pressure and its application in wave-energy extraction. 15th Int. Cong. Theor. Appl. Mech., Toronto.Google Scholar
Falnes, J. 1980 Radiation impedance matrix and optimum power absorption for interacting oscillators in surface waves. Appl. Ocean Res. 2, 7580.Google Scholar
Fry, R. & Jefferys, E. R. 1979 Tank trials of a model Kaimei. C.E.G.B. Rep. no. R/M/N1072.Google Scholar
Mccamy, R. C. 1961 On the heaving motion of cylinders of shallow draft. J. Ship Res. 5, 3443.Google Scholar
Newman, J. N. 1976 The interaction of stationary vessels with regular waves. Proc. 11th Symp. Naval Hydrodynamics London, pp. 491501.Google Scholar
Ogilvie, T. F. 1969 Oscillating pressure fields on a free surface. Univ. Michigan, College of Engng Rep. no. 030.Google Scholar
Quarrell, P. 1978 Proc. Wave Energy Conf. London — Heathrow. H.M.S.O.
Srokosz, M. A. 1979 Some theoretical aspects of wave power absorption. Ph.D. thesis, Univ. of Bristol.
Srokosz, M. A. & Evans, D. V. 1979 A theory for wave-power absorption by two independently oscillating bodies. J. Fluid Mech. 90, 337362.Google Scholar
Stoker, J. J. 1957 Water Waves. Wiley-Interscience.
Thomas, J. R. 1981 Hydrodynamics of certain wave-energy absorbers. Ph.D. thesis, University of Bristol.