Hostname: page-component-84b7d79bbc-2l2gl Total loading time: 0 Render date: 2024-07-29T22:57:14.293Z Has data issue: false hasContentIssue false
  • English
  • Français

Cavitating flow about a wedge at incidence

Published online by Cambridge University Press:  28 March 2006

A. D. Cox  and
W. A. Clayden
A. D. Cox
Affiliation:
Ministry of Supply, Armament Research and Development Establishment, Fort Halstead, Kent
W. A. Clayden
Affiliation:
Ministry of Supply, Armament Research and Development Establishment, Fort Halstead, Kent
Get access Rights & Permissions [Opens in a new window]

Abstract

A mathematical model is constructed for cavitating flow past a wedge with sides of equal length but with its axis of symmetry placed at an angle to the incident stream. The model involves a subsidiary cavity with a re-entrant jet at the vertex. Only the case of zero cavitation number is considered. The flow field is worked out in some detail for small angles of incidence, and the lift, drag and moment coefficients are calculated as far as first-order terms in the angle of incidence. It is shown that the effect of the rate of loss of momentum in the re-entrant jet on these force coefficients is negligible to this order.

Experimentally, it is shown that the secondary cavity does exist under suitable conditions, and the force coefficients obtained agree with the theory.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 3 , Issue 6 , March 1958 , pp. 615 - 637
Copyright
© 1958 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Clayden, W. A. 1954 Unpublished Ministry of Supply Report.
Clayden, W. A. 1957 Unpublished Ministry of Supply Report.
Cox, A. D. 1957 Unpublished Ministry of Supply Report.
Gilbarg, D. & Rock, D. H. 1946 On two theories of plane potential flow with finite cavities, U. S. Naval Ordnance Lab. Mem. no. 8718.Google Scholar
Jahnke, E. & Emde, F. 1948 Tables of Functions, 4th (rev.) Ed. Leipzig: Teubner.
Knapp, R. T. 1956 Further studies of the mechanics and damage potential of fixed type cavities, Proc. Symposium on Cavitation in Hydrodynamics. London: H.M.S.O.
Kreisel, G. 1946 Cavitation with finite cavitation number, Admiralty Research Lab. Rep. U.B.R.C. 52.Google Scholar
Lamb, H. 1932 Hydrodynamics, 6th Ed. Cambridge University Press.
Milne-Thomson, L. M. 1949 Theoretical Hydrodynamics, 2nd Ed. London: Macmillan.
Milne-Thomson, L. M. 1950 Jacobian Elliptic Function Tables. New York: Dover.
Neville, E. H. 1951 Jacobian Elliptic Functions, 2nd Ed. Oxford University Press.
Perry, B. 1952 Evaluation of the integrals occurring in the cavity theory of Plesset and Shaffer, Cal. Inst. Tech. Hydrodynamics Lab. Rep. no. 21-11.Google Scholar
Ramsey, A. S. 1947 A Treatise on Hydromechanics, Part II. London: Bell.
Shiffman, M. 1949 On free boundaries of an ideal fluid, Part II, Comm. Pure Appl. Math. 2, 1.Google Scholar
Whittaker, E. T. & Watson, G. N. 1940 A Course of Modern Analysis, 4th Ed. Cambridge University Press.