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

  • Allen Plotkin (a1)

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.

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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.
Beck, R. F. & Tuck, E. O. 1971 Heave and pitch of ships in shallow water. 4th Austr. Conf. Hydrodyn. Fluid Mech., Monash Univ., Melbourne.
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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.
Lea, G. K. & Feldman, J. P. 1972 Transcritical flow past slender ships. Proc. 9th ONR Symp. Naval Hydrodyn., Paris, France, p. 1527.
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Plotkin, A. 1976a The flow due to a slender ship moving over a wavy wall in shallow water. J. Engng Math. 10, 207.
Plotkin, A. 1976b Hydrodynamic pressure field on a slender ship moving over a high-frequency wavy shallow bottom. J. Appl. Mech. 43, 232.
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Van Dyke, M. 1975 Perturbation Methods in Fluid Mechanics, 2nd edn. Parabolic Press.
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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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