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The motions of a floating slender torus

  • J. N. Newman (a1)
Abstract

The motions of a floating torus oscillating in response to incident waves are analysed under the assumptions that the incident wavelength is comparable with the radius of the body section and small compared with the larger radius of the torus. This problem serves to illustrate certain features of the strip theory for ship motions, but the axisymmetric geometry and absence of body ends greatly simplify the analysis. Matched asymptotic expansions are used, with the inner solution close to the body section composed of suitable radiation and scattering problems for the two-dimensional circular cylinder. Resonant standing-wave modes in the internal basin have a singular effect upon the hydrodynamic forces acting on the body, and its response to incident waves.

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Bessho, M. 1965 On the theory of rolling motion of ships among waves. Rep. Sci. Res. Defence Acad. Japan 3, 1.
Davis, A. M. J. 1975 Short surface waves due to a heaving torus. Mathematika 22, 122134.
Davis, A. M. J. 1976 On the short surface waves due to an oscillating, partially immersed body. J. Fluid Mech. 75, 791807.
Garrett, C. J. R. 1970 Bottomless harbours. J. Fluid Mech. 43, 433449.
Lee, C. M. 1977 Motion characteristics of floating bodies. J. Ship Res. 20, 181190.
Maruo, H. 1970 An improvement of the slender body theory for oscillating ships with zero forward speed. Bull. Fac. Engng, Yohakama Nat. Univ. 19, 4556.
Newman, J. N. 1975 Interaction of waves with two-dimensional obstacles: a relation between the radiation and scattering problems. J. Fluid Mech. 71, 273282.
Newman, J. N. 1976 The interaction of stationary vessels with regular waves. Proc. 11th Symp. Naval Hydrodyn., Univ. Coll., London.
Ogilvie, T. F. 1977 Singular perturbation problems in ship hydrodynamics, Adv. in Appl. Mech. 17, 92187.
Ohkusu, M. 1974 Hydrodynamic forces on multiple cylinders in waves. Proc. Int. Symp. Dyn. Marine Vehicles and Structures in Waves. pp. 107112. London: Inst. Mech. Engrs.
Rhodes-Robinson, P. F. 1971 On the short cylindrical waves due to a body heaving on water. I. Proc. Camb. Phil. Soc. 70, 311321.
Ursell, F. 1953 Short surface waves due to an oscillating immersed body. Proc. Roy. Soc. A 220, 90103.
Ursell, F. 1961 The transmission of surface waves under surface obstacles. Proc. Camb. Phil. Soc. 57, 638668.
Ursell, F. 1962 Slender oscillating ships at zero forward speed. J. Fluid Mech. 14, 496516.
Wang, S. & Wahab, R. 1971 Heaving oscillations of twin cylinders in a free surface. J. Ship Res. 15, 3348.
Wu, T. Y. & Yates, G. T. 1976 Finite-amplitude unsteady slender-body flow theory. Proc. 11th Symp. Naval Hydrodyn. Univ. Coll., London.
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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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