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The breaking and non-breaking wave resistance of a two-dimensional hydrofoil

Published online by Cambridge University Press:  20 April 2006

James H. Duncan
James H. Duncan
Affiliation:
Hydronautics Incorporated, 7210 Pindell School Road, Laurel. Maryland 20707
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Abstract

Measurements of the surface-height profile and the vertical distributions of velocity and total head were made behind a two-dimensional fully submerged hydrofoil moving horizontally at constant speed and angle of attack. These measurements were used to resolve the drag on the foil into two parts: one associated with the turbulent breaking region that is sometimes present on the forward face of the first wave, and the other associated with the remaining non-breaking wavetrain. It was found that at ‘incipient breaking’ the first wave existed in either a breaking or a non-breaking state depending on the starting procedures. It was possible to induce steady breaking when the wave slope was 17° or higher. The wake survey measurements showed that the drag associated with breaking reached more than three times the maximum drag that could theoretically be obtained with non-breaking waves. The drag associated with breaking was found to be proportional to the downslope component of the weight of the breaking region.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 126 , January 1983 , pp. 507 - 520
Copyright
© 1983 Cambridge University Press

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References

Baba, E. 1969 A new component of viscous resistance J. Soc. Nav. Arch. Japan 125, 23.Google Scholar
Baba, E. 1976 Wave breaking resistance of ships. In Proc. Int. Seminar on Wave Resistance, Tokyo, pp. 75–92.
Banner, M. L. & Phillips, O. M. 1974 On the incipient breaking of small scale waves J. Fluid Mech. 65, 647–656.Google Scholar
Battjes, J. A. & Sakai, T. 1981 Velocity field in a steady breaker J. Fluid Mech. 111, 421–437.Google Scholar
Duncan, J. H. 1981 An experimental investigation of breaking waves produced by a towed hydrofoil. Proc. R. Soc. Lond A 377, 331–348.Google Scholar
Duncan, J. H. 1982 A note on the evaluation of the wave resistance of two-dimensional bodies from measurements of the downstream wave profile. J. Ship Res. (in the press).Google Scholar
Froude, W. 1955 The Papers of William Froude. London: The Institution of Naval Architects.
Inui, T. 1981 From bulbous bow to free-surface shock wave – trends of 20 years research on ship waves at the Tokyo University tank J. Ship Res. 25, 147–180.Google Scholar
Kayo, Y. & Takekuma, K. 1981 On the free-surface shear flow related to bow wave-breaking of full ship models J. Soc. Nav. Arch. Japan 149, 11–20.Google Scholar
LONGUET-HIGGINS, M. S. 1975 The integral properties of periodic gravity waves of finite amplitude. Proc. R. Soc. Lond A 342, 157–174.Google Scholar
Longuet-Higgins, M. S. 1978 The instabilities of gravity waves of finite amplitude in deep water. II. Subharmonics. Proc. R. Soc. Lond A 360, 489–505.Google Scholar
Miyata, H. 1980 Characteristics of nonlinear waves in the near-field of ships and their effects on resistance. In Proc. 13th Symp. on Naval Hydrodynamics, Tokyo, pp. III–5–1–III–5–17.
Miyata, H., Inui, T. & Kajitani, H. 1980 Free surface shock waves around ships and their effects on ship resistance Nav. Arch. & Ocean Engng, Soc. Nav. Arch. Japan 18, 1–9.Google Scholar
Salvesen, N. 1981 Five years of numerical naval ship hydrodynamics at DTNSRDC J. Ship Res. 25, 219–235.Google Scholar
Schwartz, L. W. 1974 Computer extension and analytic continuation of Stokes' expansion for gravity waves J. Fluid Mech. 62, 553–578.Google Scholar
Stokes, G. G. 1847 On the theory of oscillatory waves Trans. Camb. Phil. Soc. 8, 441.Google Scholar
Taneda, S. 1974 Necklace vortices J. Phys. Soc. Japan 36, pp. 298–303.Google Scholar
Tulin, M. P. 1978 Ship wave resistance – a survey. In Proc. 8th U.S. Nat. Congr. Applied Mech., Los Angeles.
Wehausen, J. 1973 The wave resistance of ships Adv. Appl. Mech. 13, 93–245.Google Scholar
Wehausen, J. & Laitone, E. V. 1960 Surface waves. In Handbuch der Physik. vol. 9. Springer.