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Potential flow about two-dimensional hydrofoils

Published online by Cambridge University Press:  28 March 2006

Joseph P. Giesing
Affiliation:
Douglas Aircraft Company, Aircraft Division, Long Beach, California
A. M. O. Smith
Affiliation:
Douglas Aircraft Company, Aircraft Division, Long Beach, California

Abstract

This paper describes a very general method for determining the steady two-dimensional potential flow about one or more bodies of arbitrary shape operating at arbitrary Froude number near a free surface. The boundary condition of zero velocity (solid wall) or prescribed velocity (suction or blowing) normal to the body surface is satisfied exactly, and the boundary condition of constant pressure on the free surface is satisfied using the classic small-wave approximation. Calculations made by the present method are compared with analytic results, other theoretical calculations and experimental data. Examples for which no comparison exists are also presented to illustrate the capability of the method.

Type
Research Article
Copyright
© 1967 Cambridge University Press

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References

Ausman, J. S. 1954 Pressure limitation on the upper surface of a hydrofoil. Ph.D. thesis in Mechanical Engineering at the University of California, Berkeley, California.
Coombs, A. 1950 The translation of two bodies under the free surface of a heavy fluid Proc. Camb. Phil. Soc. 46, 453468.Google Scholar
Giesing, J. P. 1966 Two-dimensional airfoil methods. Douglas Aircraft Company Rept. LB 31946.Google Scholar
Harris, T. A. & Lowry, J. G. 1942 Pressure distribution over an NACA 23012 Airfoil with a fixed slot and slotted flap. NACA Rept. no. 732.Google Scholar
Havelock, T. H. 1928 The vertical force on a cylinder submerged in a uniform stream. Proc. Royal Soc A 122, 387393.Google Scholar
Havelock, T. H. 1936 The forces on a circular cylinder submerged in a uniform stream. Proc. Royal Soc A 157, 526534.Google Scholar
Hess, J. L. & Smith, A. M. O. 1964 Calculation of non-lifting potential flow about arbitrary three-dimensional bodies J. Ship Res. 8, no. 2, 2244.Google Scholar
Hess, J. L. & Smith, A. M. O. 1966 Calculation of Potential Flow about Arbitrary Bodies. To be published in Progress in Aeronautical Sciences. Editor, D. Kucheman. Oxford & New York: Pergamon Press. Vol. 8
Isay, W. H. 1960 Zur Theories der nahe der Wasseroberflaeche fahrenden Tragflaechen. Ingenieur-Archiv, XXLX Band, 295313.Google Scholar
Keldysch, M. W. & Lawrentjew, M. A. 1935 On the motion of a wing below the surface of a heavy fluid. ZAHI Paper, Moscow.Google Scholar
Kochin, N. E. 1937 On the motion of profiles of any form below the surface of a heavy fluid. ZAHI Paper, Moscow.Google Scholar
Kochin, N. E., Kibel, I. A. & Roze, N. V. 1964 (Boyanovitch, D., Trans.) Theoretical Hydromechanics, 475490. New York, London, Sydney: Interscience Publishers.
Laitone, E. V. 1954 Limiting velocity by momentum relations for hydrofoils near the surface and airfoils in near sonic flow. Proceedings of Second U.S. National Congress of Applied Mechanics, pp. 751754.Google Scholar
Lamb, H. 1932 Hydrodynamics. Cambridge University Press.
Nishiyama, Tatsuo 1957 Study on submerged hydrofoils Society of Naval Architects of Japan, 60th Anniversary Series, 2, 95134.Google Scholar
Parkin, B. R., Perry, B. & Wu, T. Y. 1955 Pressure distribution on a hydrofoil running near the water surface. Calif. Inst. of Tech. Hydrodynamics Lab. Rept. no. 47-2.Google Scholar
Smith, A. M. O., Giesing, J. P. & Hess, J. L. 1963 Calculation of waves and wave resistance for bodies moving on or beneath the surface of the sea. Douglas Aircraft Company Rept. LB 31488.Google Scholar
Smith, A. M. O. & Pierce, JESSE 1958 Exact solution of the Neumann problem. Calculation of non-circulatory plane and axially symmetric flow about or within arbitrary boundaries. Douglas Aircraft Company Rept. ES 26988.Google Scholar
Tuck, E. O. 1965 The effect of non-linearity at the free surface on flow past a submerged cylinder J. Fluid Mech. 22, 401414.Google Scholar
Walderhaug, H. A. 1964 On the chordwise pressure distributions on submerged hydrofoils. Norwegian Ship Model Experiment Tank Publication no. 75.Google Scholar
Wehausen, J. V. & Laitone, E. V. 1960 Handbook of Physics, 9, Surface Waves. Berlin: Springer-Verlag.