Hostname: page-component-cd9895bd7-dzt6s Total loading time: 0 Render date: 2024-12-19T11:55:15.618Z Has data issue: false hasContentIssue false
  • English
  • Français

The absorption of wave energy by a three-dimensional submerged duct

Published online by Cambridge University Press:  20 April 2006

J. R. Thomas
J. R. Thomas
Affiliation:
School of Mathematics, University of Bristol, University Walk, Bristol BS8 1TW
Get access Rights & Permissions [Opens in a new window]

Abstract

It has been shown (Evans 1976) that the power absorbed by a general, axisymmetric body depends solely upon the added-mass and damping coefficients. These coefficients are fundamental properties of the body, representing the component of the force on the body proportional to the acceleration and velocity of the body respectively in the radiation problem, where the body is forced to oscillate in the absence of incoming waves.

In the present paper these coefficients are determined by solution of the radiation problem, for a mouth-upward cylindrical duct situated on the sea bed and fitted with a piston undergoing forced oscillations. The added-mass and damping coefficients are then used to study the power absorption properties of the duct when the power take-off is modelled by a linear-spring–dashpot system attached to the piston. Curves of the added mass, damping coefficients and absorption length (a measure of the power absorbed) as functions of wavenumber are presented, for different duct diameters and different depths of submergence.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 104 , March 1981 , pp. 189 - 215
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. A. 1970 Handbook of Mathematical Functions 9th edn. Dover Publications.
Black, J. L., Mei, C. C. & Bray, M. C. G. 1971 Radiation and scattering of water waves by rigid bodies. J. Fluid Mech. 46, 151–164.Google Scholar
Evans, D. V. 1976 A theory for wave-power absorption by oscillating bodies. J. Fluid Mech. 77, 1–25.Google Scholar
Garrett, C. J. R. 1970 Bottomless harbours. J. Fluid Mech. 43, 433–449.Google Scholar
Garrett, C. J. R. 1971 Wave forces on a circular dock. J. Fluid Mech. 46, 129–139.Google Scholar
Haskind, M. D. 1957 The exciting forces and wetting of ships in waves. Izv. Akad. Nauk S.S.S.R., Otd. Tekh. Nauk 7, 65–79. (English trans. David Taylor, Model Basin Trans. no. 307.)Google Scholar
Lighthill, J. 1979 Two-dimensional analyses related to wave-energy extraction by submerged resonant ducts. J. Fluid Mech. 91, 253–317.Google Scholar
Miles, J. W. & Gilbert, F. 1968 Scattering of gravity waves by a circular dock. J. Fluid Mech. 34, 783–793.Google Scholar
Newman, J. N. 1962 The exciting forces on fixed bodies in waves. J. Ship Res. 6, 10–17.Google Scholar
Newman, J. N. 1977 Marine Hydrodynamics. Massachusetts Institute of Technology Press.
Ogilvie, T. F. 1963 First- and second-order forces on a cylinder submerged under a free surface. J. Fluid Mech. 16, 451–472.Google Scholar
Simon, M. 1981 Wave-energy extraction by a submerged cylindrical resonant duct. J. Fluid Mech. 104, 159–187.Google Scholar
Srokosz, M. A. 1979 The submerged sphere as an absorber of wave power. J. Fluid Mech. 95, 717–741.Google Scholar