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Ship bows with contiunous and splashless flow attachment

Published online by Cambridge University Press:  17 February 2009

M. A. D. Madurasinghe  and
E. O. Tuck
E. O. Tuck
Affiliation:
Department of Applied Mathematics, The University of Adelaide, Adelaide, South Australia, 5000
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Abstract

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In two-dimensional bow-like flows past a semi-infinite body, one must in general expect a free-surface discontinuity, in the form of a splash or spray jet. However, there is numerical evidence that special body shapes do exist for which this splash is absent. In this study, we first establish conditions on the geometry of the bow in order that it should be splash-free at zero gravity, by solving the mathematical problem exactly. We then obtain solutions for finite non-zero gravity, by solving a non-linear integral equation numerically. A class of splashless body geometries with a downward directed segment at the extreme of the bow, to which the free surface attaches tangentially, is demonstrated in detail.

Type
Research Article
Information
The ANZIAM Journal , Volume 27 , Issue 4 , April 1986 , pp. 442 - 452
Copyright
Copyright © Australian Mathematical Society 1986

References

[1]Birkhoff, G. and Zarantonello, E. H., Jets, wakes and cavities (Academic Press, New York, 1957).Google Scholar
[2]Gilbarg, D., “A generalization of the Schwartz-Christoffel transformation”, Proc. Nat. Acad. Sci. U.S.A. 35 (1949), 609–612.CrossRefGoogle ScholarPubMed
[3]Gilbarg, D., “Jets and cavities”, Handbuch der Physik, Vol. 9, 311–445 (Springer-Verlag, Berlin, 1960).Google Scholar
[4]Mime-Thomson, L. M., Theoretical hydrodynamics (Macmillan, London, 1968).CrossRefGoogle Scholar
[5]Schmidt, G. H., “Linearized stern flow of a two-dimensional shallow-draft ship”, J. Ship Res. 25 (1981), 236–242.CrossRefGoogle Scholar
[6]Tuck, E. O. and Vanden-Broeck, J.-M., “Splashless bow flows in two dimensions?”, Proc. 15th Symp. Naval Hydro., Hamburg, 09. 1984. pp. 293–302. (National Academy Press Washington D.C., 1985).Google Scholar
[7]Vanden-Broeck, J.-M. and Tuck, E. O., “Computation of near-bow or stern flows, using series expansion in the Froude number”, Proc. 2nd mt. Conf. Num. Ship Hydro., Berkeley (1977).Google Scholar
[8]Vanden-Broeck, J.-M., Schwartz, L. W., and Tuck, E. O., “Divergent low-Froude-number series expansion of nonlinear free-surface flow problems”, Proc. Roy. Soc. London. Ser. A 361 (1978), 207–224.Google Scholar
[9]Vanden-Broeck, J.-M., and Tuck, E. O., “Wave-less free-surface pressure distributions”, J. Ship Res. (1985) (in press).Google Scholar
[10]Wu, T. Y., “Cavity and wake flows”, Ann. Rev. Fluid Mech. 4 (1972), 243–284.CrossRefGoogle Scholar