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The flow near the bow of a steadily turning ship

Published online by Cambridge University Press:  29 March 2006

Miguel Hiroo Hirata
Miguel Hiroo Hirata
Affiliation:
COPPE, Universidade Federal do Rio de Janeiro, C.P. 1191-ZC-00, Rio de Janeiro 20.000, Brazil
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Abstract

The flow near the bow of a steadily turning ship is analysed using a modified slender-body theory. The rate of change of flow quantities in the longitudinal (x) direction is assumed to be greater than that implied by ‘conventional’ slender-body theory. As a consequence some features of high Froude number flow are apparent which cannot be predicted by the ‘conventional’ theory. The modified slender-body theory proposed requires the solution of a two-dimensional Laplace equation (in y and z) but its free-surface condition still involves an x derivative. A Fourier-transform method is used to solve this problem. A simple bow configuration of constant draft is analysed and numerical results for the free-surface elevation are presented.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 71 , Issue 2 , 23 September 1975 , pp. 283 - 291
Copyright
© 1975 Cambridge University Press

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References

Abramowitz, M. & Stegun, I. A. 1964 Handbook of Mathematical Functions. Washington: Nat. Bur. Stand.
Fedyayevskiy, K. K. & Sobolev, G. V. 1964 Control and stability in ship design. Joint Publ. Res. Service, Clearinghouse Federal Sci. Tech. Inf., U.S. Dept. Commerce, JPRS 24, 547; OTS 64-31239.
Hirata, M. H. 1972a Um model matemàtico para o estudo de manobrabilidade de navios. Prog. Engng Naval & Oceanogr., COPPE/UFRJ, Rio de Janeiro.
Hirata, M. H. 1972b On the steady turn of a ship. Ph.D. thesis, University of Michigan, Ann Arbor.
Lighthill, M. J. 1964 Fourier Analysis and Generalized Functions, student's edn. Cambridge University Press.
Ogilvie, T. F. 1972 The waves generated by a fine ship bow. 9th Symp. Naval Hydrodyn. Paris.
Ogilvie, T. F. & Tuck, E. O. 1969 A rational strip-theory of ship motion. Part 1. Dept. Naval Archit., University of Michigan, Rep. no. 013.Google Scholar
Ursell, F. 1947 The effect of a fixed vertical barrier on surface waves in deep water. Proc. Camb. Phil. Soc. 43, 374–382.Google Scholar
Ursell, F. 1948 On the waves due to the rolling of a ship. Quart. J. Mech. Appl. Math. 1, 246–252.Google Scholar
Wehausen, J. V. & Laitone, E. V. 1960 Surface waves. In Encyclopedia of Physics, vol. 9, pp. 446–778. Springer.