Hostname: page-component-7dd5485656-bvgqh Total loading time: 0 Render date: 2025-10-31T19:50:46.814Z Has data issue: false hasContentIssue false
  • English
  • Français

Diffraction of sea waves by a slender body. Part 2. Water of finite depth

Published online by Cambridge University Press:  26 April 2006

J. A. P. Aranha  and
C. A. Martins
J. A. P. Aranha
Affiliation:
Eng. Naval, EPUSP, CP61548, Sao Paulo, Brazil
C. A. Martins
Affiliation:
DINAV, IPT, Sao Paulo, Brazil
Get access Rights & Permissions [Opens in a new window]

Abstract

A uniformly valid theory (all wavelengths and angles of incidence) for the diffraction of sea waves by a slender body, correct to second order in the slenderness parameter, has been derived for the shallow-water limit. This theory is now extended to the finite water depth case, with the same results and accuracy.

Information

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 216 , July 1990 , pp. 133 - 160
Copyright
© 1990 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.)

Article purchase

Temporarily unavailable

References

Abramowitz, M. & Stegun, I. 1964 Handbook of Mathematical Functions. Dover.
Aranha, J. A. P. 1984 Mathematical analysis of the two dimensional water wave problem.
Aranha, J. A. P. 1988 Low frequency heave added mass in finite depth with application to slender bodies. Submitted.
Aranha, J. A. P. & Sugaya, M. 1985 A note on head-sea diffraction by a slender body. J. Fluid Mech. 155, 131–139.Google Scholar
Aranha, J. A. P. & Sugaya, M. 1987 Diffraction of sea waves by a slender body. Part 1. The shallow water limit. J. Fluid Mech. 180, 51–85 (referred to herein as I).Google Scholar
Børresen, R. & Faltinsen, O. 1985 Ship motions in shallow water by unified theory. 15th Symp. on Naval Hydrodynamics. Washington DC: National Academic Press.
Erdélyi, A. 1954 Bateman Manuscript Project. McGraw Hill.
Faltinsen, O. 1971 Waves forces on a restrained ship in head-sea waves. Ph.D. thesis, University of Michigan, Ann Arbor.
Geer, J. 1975 Uniform asymptotic solutions for potential flow about a slender body of revolution. J. Fluid Mech. 67, 817–827.Google Scholar
Haren, P. & Mei, C. C. 1981 Head-sea diffraction by a slender raft with application to wave-power absorption. J. Fluid Mech. 104, 503–524.Google Scholar
Lighthill, M. J. 1958 Introduction to Fourier Analysis and Generalized Functions. Cambridge University Press.
Newman, J. N. 1978 The theory of ship motions. Adv. Appl. Mech. 18, 221–283.Google Scholar
Ogilvie, T. F. 1977 Singular perturbation problems in ship hydrodynamics. Adv. Appl. Mech. 17, 91–188.Google Scholar
Sclavounos, P. D. 1981 On the diffraction of free surface waves by a slender ship. Ph.D. thesis, MIT.
Ursell, F. 1968 On head seas travelling along a horizontal cylinder. J. Inst. Math. Applics. 4, 414–427.Google Scholar
Ursell, F. 1977 The refraction of head seas by a long ship. Part 2. Waves of long wavelength. J. Fluid Mech. 82, 643–657.Google Scholar
Van Dyke, M. 1975 Perturbation Methods in Fluid Mechanics. Parabolic.