Non-Linear Analysis of the Flow Around Partially or Super-Cavitating Hydrofoils by a Potential Based Panel Method

  • S. A. Kinnas
  • N. E. Fine

Abstract

The problem of analyzing the flow around a partially or super-cavitating hydrofoil in an ideal fluid is addressed by employing a low order perturbation potential based panel method. The cavity surface is determined as a part of the solution in an iterative manner. As a first iteration in determining the final cavity surface, the foil beneath the cavity is used in the case of partially cavitating hydrofoils, and the cavity shape from linear theory is used in the case of super-cavitating hydrofoils. The numerical scheme is shown to be very robust and to converge to the final cavity shape quicker than a previous numerical scheme based on a surface vorticity velocity based panel method.

Keywords

Vorticity Posit Cavitation Carenes 

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References

  1. [1]
    M.P. Tulin and C.C. Hsu. New applications of cavity flow theory. In 13th Symposium on Naval Hydrodynamics, Tokyo, Japan, 1980.Google Scholar
  2. [2]
    S.A. Kinnas. Leading edge corrections to the linear theory of partially cavitating hydrofoils. To appear in the Journal of Ship Research.Google Scholar
  3. [3]
    J.S. Uhlman. The surface singularity method applied to partially cavitating hydrofoils. Journal of Ship Research, vol 31(No. 2):pp. 107–124, June 1987.Google Scholar
  4. [4]
    C. Pellone and A. Rowe. Supercavitating hydrofoils in non-linear theory. In Third International Conference on Numerical Ship Hydrodynamics, Basin d’essais des Carènes, Paris, France, June 1981.Google Scholar
  5. [5]
    J.S. Uhlman. The surface singularity or boundary integral method applied to supercavitating hydrofoils. Journal of Ship Research, vol 33(No. 1): pp. 16–20, March 1989.Google Scholar
  6. [6]
    Lemonnier H. and Rowe A. Another approach in modelling cavtating flows. Journal of Fluid Mechanics, vol 195, 1988.Google Scholar
  7. [7]
    Luigi Morino and Ching-Chiang Kuo. Subsonic potential aerodynamic for complex configurations: a general theory. AIAA Journal, vol 12(no 2): pp 191–197, February 1974.ADSMATHCrossRefGoogle Scholar
  8. [8]
    J.E. Kerwin, S.A. Kinnas, J-T Lee, and W-Z Shih. A surface panel method for the hydrodynamic analysis of ducted propellers. Trans. SNAME, 95, 1987.Google Scholar
  9. [9]
    S.A. Kinnas and N.E. Fine. Analysis of the flow around supercavitating hydrofoils with midchord and face cavity detachment. To appear in the Journal of Ship Research.Google Scholar

Copyright information

© Springer-Verlag Berlin, Heidelberg 1991

Authors and Affiliations

  • S. A. Kinnas
    • 1
  • N. E. Fine
    • 1
  1. 1.Department of Ocean EngineeringMassachusetts Institute of TechnologyCambridgeUSA

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