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    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Wu, Ping-Chen and Chen, Jiahn-Horng 2016. Numerical Study on Cavitating Flow due to a Hydrofoil near a Free Surface. Journal of Ocean Engineering and Science,

    Haoyue, Zhang Zhang, Shesheng Chao, Liu Xing, Chen and Weicang, Wang 2012. 2012 11th International Symposium on Distributed Computing and Applications to Business, Engineering & Science. p. 27.

    Wang, G. and Ostoja-Starzewski, M. 2007. Large eddy simulation of a sheet/cloud cavitation on a NACA0015 hydrofoil. Applied Mathematical Modelling, Vol. 31, Issue. 3, p. 417.

    Dang, J. and Kuiper, G. 1999. Re-Entrant Jet Modeling of Partial Cavity Flow on Three-Dimensional Hydrofoils. Journal of Fluids Engineering, Vol. 121, Issue. 4, p. 781.

    Bassanini, Piero and Elcrat, Alan 1993. Free streamline-boundary layer analysis for separated flow over an airfoil. ZAMP Zeitschrift f�r angewandte Mathematik und Physik, Vol. 44, Issue. 4, p. 695.

    Kinnas, Spyros A. and Fine, Neal E. 1993. A numerical nonlinear analysis of the flow around two- and three-dimensional partially cavitating hydrofoils. Journal of Fluid Mechanics, Vol. 254, Issue. -1, p. 151.

    Kubota, Akihiro Kato, Hiroharu and Yamaguchi, Hajime 1992. A new modelling of cavitating flows: a numerical study of unsteady cavitation on a hydrofoil section. Journal of Fluid Mechanics, Vol. 240, Issue. -1, p. 59.

    Bassanini, Piero and Elcrat, Alan 1988. A univalent spiral-vortex model for separated flow past a polygonal obstacle. ZAMP Zeitschrift f�r angewandte Mathematik und Physik, Vol. 39, Issue. 4, p. 455.

    Lemonnier, H. and Rowe, A. 1988. Another approach in modelling cavitating flows. Journal of Fluid Mechanics, Vol. 195, Issue. -1, p. 557.


Three-dimensional theory on supercavitating hydrofoils near a free surface

  • Okitsugu Furuya (a1) (a2)
  • DOI:
  • Published online: 01 March 2006

Supercavitating hydrofoils of large aspect ratio operating near a free surface are investigated, assuming an inviscid and irrotational flow with the effects of gravity and surface tension neglected. The flow near the foil, treated as two-dimensional, is solved by a nonlinear free-streamline theory, then a three-dimensional ‘downwash’ correction is made using Prandtl's lifting-line theory. The strength of the lifting-line vortex is determined by information from the two-dimensional solution through a matching procedure, in which the inverse of aspect ratio is used as a small parameter for asymptotic expansions. The analysis incorporates a free-surface reference level to determine the submergence depth of the foil. The present method can be applied to any type of foil having an arbitrary planform or profile shape, including a rounded leading edge, a twist and even a small dihedral angle, within the assumption of large aspect ratio. Numerical computations made on rectangular flat-plate hydrofoils show excellent agreement of results with existing experimental data, even for large angles of attack and relatively low aspect ratios. The pressure distributions, shapes of the cavity and free surface are also calculated as a function of spanwise position.

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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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