Hostname: page-component-77c89778f8-cnmwb Total loading time: 0 Render date: 2024-07-18T06:50:16.545Z Has data issue: false hasContentIssue false
  • English
  • Français

A note on head-sea diffraction by a slender body

Published online by Cambridge University Press:  20 April 2006

J. A. P. Aranha  and
M. Sugaya
J. A. P. Aranha
Affiliation:
Department of Civil Engineering, IPT, São Paulo, Brazil
M. Sugaya
Affiliation:
Department of Civil Engineering, IPT, São Paulo, Brazil
Get access Rights & Permissions [Opens in a new window]

Abstract

In studying head-sea diffraction by a slender body, Haren & Mei (1981) found, at a special frequency, a singularity inherent in the cross-section (inner) mathematical problem. In this note this singularity is interpreted, and it is shown that the head-sea problem is similar to the problem of an acoustic duct being excited at one end by a pressure field. As a consequence, the head sea is not always refracted away from the body, since the solution remains oscillatory for frequencies above that special frequency.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 155 , June 1985 , pp. 131 - 139
Copyright
© 1985 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. 1964 Handbook of Mathematical Functions. Dover.
Aranha, J. A. P. 1982 Mathematical analysis of the two-dimensional water wave problem (to be published).
Faltinsen, D. M. 1971 Wave forces on a restrained ship in head-sea waves. Ph.D. Thesis, University of Michigan.
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
Mei, C. C. & Tuck, E. O. 1980 Forward scattering by long thin bodies. SIAM J. Appl. Maths 39, 178–191.Google Scholar
Ursell, F. 1968 On head seas travelling along a horizontal cylinder. J. Inst. Maths 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
Yue, D. K. P. & Mei, C. C. Note on the singularity of an inner problem for head-sea diffraction by a slender body. J. Fluid Mech. 109, 253–256.