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Two supercavitating hydrofoils near a free surface

Published online by Cambridge University Press:  28 March 2006

T. Green  and
R. L. Street
T. Green
Affiliation:
Stanford University
R. L. Street
Affiliation:
Stanford University
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Abstract

A two-dimensional, incompressible, irrotational, linearized flow model is employed in this analysis of two supercavitating, flat-plate hydrofoils in the presence of a free surface. The cavities are taken to have finite lengths, and gravity is neglected. The ensuing boundary-value problem is converted, by means of conformal mapping, to a mixed-boundary-value problem for the complex velocity in the upper half-plane. This altered problem is solved by use of the methods of thin-aerofoil theory and the solution involves digital-computer evaluation of a large number of incomplete elliptic integrals of the first and third kinds. Typical results are presented in graphs, and the results of the present work are compared with Yim's (1964) theory for a single supercavitating body near a free surface.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 27 , Issue 1 , 11 January 1967 , pp. 1 - 28
Copyright
© 1967 Cambridge University Press

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References

Apostol, T. M. 1958 Mathematical Analysis. Reading, Mass.: Addison-Wesley.
Birkhoff, G. & Zarantonello, E. 1957 Jets, Wakes, and Cavities. New York: Academic Press.
Byrd, P. & Friedman, M. 1954 Handbook of Elliptic Integrals for Engineers and Physicists. Berlin: Springer-Verlag.
Cheng, H. K. & Rott, N. 1954 Generalizations of the inversion formula of thin airfoil theory J. Rat. Mech. Anal. 3, 357–382.Google Scholar
Dawson, T. E. & Bate, E. R. 1962 An experimental investigation of a fully cavitating two-dimensional flat plate hydrofoil near a free surface. Karman Laboratory of Fluid Mechanics and Jet Propulsion Rep. no. E-118.12, California Institute of Technology.Google Scholar
Hsieh, T. 1964 The linearized theory for a supercavitating biplane operating at zero cavitation number near a free surface. Hydronautics. Inc. Tech. Rep. no. 463–3, Laurel, Md.Google Scholar
Parkin, B. R. 1959 Linearized theory of cavity flow in two dimensions. RAND Corp. Rep. no. P1745, Santa Monica, Calif.Google Scholar
Tulin, M. P. 1953 Steady two-dimensional cavity flows about slender bodies. DTMB Rep. no. 834, Washington, D.C.Google Scholar
Tulin, M. P. 1964 Supercavitating flows-small perturbation theory J. Ship. Res. 7, 16–37.Google Scholar
Van Dyke, M. D. 1964 Perturbation Methods in Fluid Mechanics. New York: Academic Press.
Wetzel, J. M. 1965 Tandem interference effects for noncavitating and supercavitating hydrofoils. St Anthony Falls Hydr. Lab., Tech. Pap. no. 50, series B, Minnesota.Google Scholar
Yim, B. 1964 On a fully cavitating two-dimensional flat plate hydrofoil with non-zero cavitation number near a free surface. Hydronautics, Inc., Tech. Rep. no. 463–4, Laurel, Md.Google Scholar