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The Flow Close to the Surface of a Circular Cone at Incidence to a Supersonic Stream

Published online by Cambridge University Press:  07 June 2016

B. A. Woods
B. A. Woods*
Affiliation:
Royal Aircraft Establishment, Farnborough
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Summary

A theory is presented describing the flow close to the surface of a circular cone at incidence to a supersonic stream, which reconciles the first order theory of Stone (on which the widely used M.I.T. Cone Tables are based) with the physically necessary condition that the entropy on the cone surface be constant.

However, the results of this “vortical layer” solution appear to invalidate the method used in Ref. 1 to apply a boundary condition at the cone surface, and so to cast doubt on the results obtained by this theory.

Type
Research Article
Information
Aeronautical Quarterly , Volume 13 , Issue 2 , May 1962 , pp. 115 - 128
Copyright
Copyright © Royal Aeronautical Society. 1962

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References

1. Stone, A. H. On Supersonic Flow Past a Slightly Yawing Cone. Journal of Mathematics and Physics, Vol. 27, p. 67, 1948.Google Scholar
2. Stone, A. H. On Supersonic Flow Past a Slightly Yawing Cone, Part II. Journal of Mathematics and Physics, Vol. 30, p. 200, 1951.Google Scholar
3. Ferri, A. Supersonic Flow Around Circular Cones at Angles of Attack. N.A.C.A. Report 1045, 1951.Google Scholar
4. Kopal, Z. et al. Tables of Supersonic Flow Around Yawing Cones. Tables of Super sonic Flow Around Cones at Large Yaw. Massachusetts Institute of Technology, Center of Analysis, Technical Reports 3 and 5, 1947 and 1949.Google Scholar
5. Cheng, H. K. Hypersonic Shock-Layer Theory of a Yawed Cone and Other Three- Dimensional Pointed Bodies. Wright Air Development Center Technical Note 59-335 and A.R.C. 22,076, October 1959.Google Scholar
6. Guiraud, J. P. Newtonian Flow Over a Surface. 1959. Published in Hypersonic Flow, edited by Collar, and Tinkler, , Butterworths, London, 1960.Google Scholar
7. Taylor, G. I. and Maccoll, J. W. The Air Pressure on a Cone Moving at High Speed. Proc. Roy. Soc, A.139, p. 278, 1933.Google Scholar
8. Cheng, H. K. On the Structure of Vortical Layers in Supersonic and Hypersonic Flows. Journal of the Aero/Space Sciences (Readers’ Forum), February 1960.Google Scholar
9. Woods, B. A. Unpublished College of Aeronautics Thesis, 1956.Google Scholar