Hostname: page-component-669899f699-ggqkh Total loading time: 0 Render date: 2025-04-25T20:10:06.478Z Has data issue: false hasContentIssue false
  • English
  • Français

Heave and pitch motions in shallow water including the effect of forward speed

Published online by Cambridge University Press:  11 April 2006

Allen Plotkin
Allen Plotkin
Affiliation:
Engineering Science Department, California Institute of Technology, Pasadena
Permanent address: Aerospace Engineering Department, University of Maryland, College Park.
Get access Rights & Permissions [Opens in a new window]

Abstract

The problem of small heave and pitch motions of a slender ship in shallow water including the effect of forward speed is analysed using the method of matched asymptotic expansions. Formulae valid to first order in slenderness are given for the added-mass and damping coefficients in terms of the frequency and subcritical Froude number.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 80 , Issue 3 , 2 May 1977 , pp. 433 - 441
Copyright
© 1977 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

Beck, R. F., Snyder, E. D. & Tuck, E. O. 1974 Workshop on slender-body theory. Part II. Application to ship traffic control. Univ. Michigan, Dept. Naval Arch. Mar. Engng Rep. no. 164.Google Scholar
Beck, R. F. & Tuck, E. O. 1971 Heave and pitch of ships in shallow water. 4th Austr. Conf. Hydrodyn. Fluid Mech., Monash Univ., Melbourne.
Beck, R. F. & Tuck, E. O. 1972 Computation of shallow water ship motions. Proc. 9th ONR Symp. Naval Hydrodyn., Paris, France, p. 1543.
Kim, C. H. 1968 The influence of water depth on the heaving and pitching motions of a ship moving in longitudinal regular head waves. Schiffstech. 15, 127.Google Scholar
Lea, G. K. & Feldman, J. P. 1972 Transcritical flow past slender ships. Proc. 9th ONR Symp. Naval Hydrodyn., Paris, France, p. 1527.
Nayfeh, A. H. 1973 Perturbation Methods. Wiley.
Ogilvie, T. F. 1967 Nonlinear high-Froude number free-surface problems. J. Engng Math. 1, 215.Google Scholar
Plotkin, A. 1976a The flow due to a slender ship moving over a wavy wall in shallow water. J. Engng Math. 10, 207.Google Scholar
Plotkin, A. 1976b Hydrodynamic pressure field on a slender ship moving over a high-frequency wavy shallow bottom. J. Appl. Mech. 43, 232.Google Scholar
Timman, R. & Newman, J. N. 1962 The coupled damping coefficients of a symmetric ship. J. Ship Res. 5, 1.Google Scholar
Tuck, E. O. 1966 Shallow-water flows past slender bodies. J. Fluid Mech. 26, 81.Google Scholar
Tuck, E. O. 1970 Ship motions in shallow water. J. Ship Res. 14, 317.Google Scholar
Van Dyke, M. 1975 Perturbation Methods in Fluid Mechanics, 2nd edn. Parabolic Press.