Hostname: page-component-cd9895bd7-q99xh Total loading time: 0 Render date: 2024-12-19T00:35:18.888Z Has data issue: false hasContentIssue false
  • English
  • Français

Hydrodynamic characteristics of bodies in channels

Published online by Cambridge University Press:  26 April 2006

C. M. Linton  and
D. V. Evans
C. M. Linton
Affiliation:
School of Mathematics, University of Bristol, Bristol BS8 1TW, UK
D. V. Evans
Affiliation:
School of Mathematics, University of Bristol, Bristol BS8 1TW, UK
Get access Rights & Permissions [Opens in a new window]

Abstract

The effect of channel walls on the hydrodynamic characteristics of fixed or oscillating bodies is discussed using classical linear water wave theory. Particular attention is paid to the occurrence of trapped modes persisting local to the fixed body and which are manifested in a non-uniqueness of the corresponding forced problem at the trapped mode frequency. The general ideas are illustrated by consideration of two simple geometries for which semi-analytic solutions are available, namely a circular cylinder either partly immersed or extending throughout the water depth, and a thin vertical plate parallel to the channel walls which extends throughout the water depth. Conclusions are drawn concerning the conditions under which trapped modes may exist and their effect on the hydrodynamic characteristics of more general bodies.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 252 , July 1993 , pp. 647 - 666
Copyright
© 1993 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

Bearman, P. W. & Graham, J. M. R. 1980 Vortex shedding from bluff bodies in oscillating flow: A report on Euromech 119. J. Fluid Mech. 99, 225–245.Google Scholar
Callan, M., Linton, C. M. & Evans, D. V. 1991 Trapped modes in two-dimensional waveguides. J. Fluid Mech. 229, 51–64.Google Scholar
Evans, D.V. 1992 Trapped acoustic modes. IMA J. Appl. Maths 49, 45–60.Google Scholar
Evans, D.V. & Linton, C. M. 1991 Trapped modes in open channels. J. Fluid Mech. 225, 153–175.Google Scholar
Evans, D.V., Linton, C. M. & Ursell, F. 1993 Trapped mode frequencies embedded in the continuous spectrum. Q. J. Mech. Appl. Maths (to appear).Google Scholar
Haskind, M. D. 1959 The exciting forces and wetting of ships in waves (in Russian). Izv. Akad. Nauk SSSR, Otd. Tekh. Nauk 7, 65–79. English transl. David Taylor Model Basin Transl. 307.Google Scholar
Linton, C. M. & Evans, D. V. 1992a The radiation and scattering of surface waves by a vertical circular cylinder in a channel. Phil. Trans. R. Soc. Lond. A 338, 325–357.Google Scholar
Linton, C. M. & Evans, D. V. 1992b Integral equations for a class of problems concerning obstacles in waveguides. J. Fluid Mech. 245, 349–365.Google Scholar
McIver, P. 1992 The wave field around a vertical cylinder in a channel. Proc. 7th Intl Workshop on Water Waves and Floating Bodies, Val de Reuil.
McIver, P. & Bennett, G. S. 1993 Scattering of water waves by axisymmetric bodies in a channel. J. Engng Maths 27, 1–29.Google Scholar
Newman, J. N. 1976 The interaction of stationary vessels with regular waves. Proc. 11th Symp. on Naval Hydrodynamics, London, pp. 491–501.
Parker, R. 1966 Resonance effects in wake shedding from parallel plates: some experimental observations. J. Sound Vib. 4, 62–72.Google Scholar
Parker, R. 1967 Resonance effects in wake shedding from parallel plates: calculation of resonant frequencies. J. Sound Vib. 5, 330–343.Google Scholar
Parker, R. & Stoneman, S. A. T. 1989 The excitation and consequences of acoustic resonances in enclosed fluid flow around solid bodies. Proc. Instn Mech. Engrs 203, 9–19.Google Scholar
Spring, B. H. & Monkmeyer, P. L. 1975 Interaction of plane waves with a row of cylinders. In Proc. 3rd Conf. on Ciril Engng in Oceans, pp. 979–998. Newark: ASCE.
Srokosz, M. A. 1980 Some relations for bodies in a channel, with an application to wave power absorption. J. Fluid Mech. 99, 145–162.Google Scholar
Thomas, G. P. 1991 The diffraction of water waves by a circular cylinder in a channel. Ocean Engng 18 (1/2)1 17–44.Google Scholar
Tulin, M.P. & Yao, Y. 1992 Wavemaking by a large oscillating body near tank resonance. Proc. 7th Intl Workshop on Water Waves and Floating Bodies, Val de Reuil.
Twersky, V. 1962 On scattering of waves by the infinite grating of circular cylinders. IRE Trans. Antennas Propagation 10, 737–765.Google Scholar
Wehausen, J. V. 1971 The motion of floating bodies. Ann. Rev. Fluid Mech. 3, 237–268.Google Scholar
Yeung, R. W. & Sphaier, S. H. 1989a Wave-interference effects on a truncated cylinder in a channel. J. Engng Maths 23, 95–117.Google Scholar
Yeung, R. W. & Sphaier, S. H. 1989a Wave-interference effects on a truncated cylinder in a towing tank. Proc. PRADS '89, Varna, Bulgaria.