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Ship waves in a stratified ocean

Published online by Cambridge University Press:  28 March 2006

Albert A. Hudimac
Albert A. Hudimac
Affiliation:
U.S. Navy Electronics Laboratory, San Diego 52, California
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Abstract

The velocity potential for a simple source moving in a straight line at constant depth in a two-layer ocean is obtained by the Fourier transform method. It is used to develop a formula for the wave-making resistance of a ‘thin’ ship for both surface and internal waves. An asymptotic expansion is used to delineate quantitatively the internal wave system. It is shown that at speeds less than the critical speed transverse and divergent wave systems are excited, while at speeds greater than the critical internal wave speed only the divergent wave system is excited. Examples of the shape of wave crests and of wave heights are given.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 11 , Issue 2 , September 1961 , pp. 229 - 243
Copyright
© 1961 Cambridge University Press

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References

Ekman, V. W. 1904 On dead water. Norwegian North Polar Expedition, 1893-1896. Sci. Res. 5, Christiana.Google Scholar
Hogner, E. 1923 Contributions to the theory of ship waves. Arch. Mat. Astr. Fys., 17, 1–50.Google Scholar
Hudimac, A. A. 1958 The motion of a body in a fluid with a free surface and irregular solid boundaries. Dissertation Univ. Calif. May 1958; also Univ. Calif. Inst. Engng Res. Berkeley, Calif. Ser. 85, no. 5.
Kelvin, Lord, 1887 On the waves produced by a single impulse in water of any depth, or in a dispersive medium. Proc. Roy. Soc. A, 42, 80–5.Google Scholar
Kochin, N. E. 1949 Collected Works (Academy of Sciences USSR), Vol. I, pp. 448, 508.
Lamb, H. 1916 On waves due to a travelling disturbance, with an application to waves in superposed fluids. Phil. Mag., 31, 386–99.Google Scholar
Lunde, J. K. 1951 On the linearized theory of wave resistance of displacement ships in steady and accelerated motion. SNAME, 59, 26–76.Google Scholar
Peters, A. S. 1949 A new treatment of the ship wave problem. Commun. Pure Appl. Math., 2, 123–48.Google Scholar
Sretenskii, L. N. 1959 On the wave resistance of ships in the presence of internal waves. Izv. Akad. Nauk C.C.C.R., Otdelenie Tekhnicheskikh, 1, 56–63.Google Scholar
Timman, R. & Vossers, G. 1953 The linearized velocity potential round a Michell-ship. Technische Hogeschool, Laboratoriam voor Scheepsbouwkaunde, Delft, Rappart 1.Google Scholar
Warren, F. W. G. 1960 Wave resistance to vertical motion in a stratified fluid. J. Fluid Mech., 7, 209–29.Google Scholar