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High-speed flow of a gas past an approximately elliptic cylinder

Published online by Cambridge University Press:  24 October 2008

H. C. Levey
H. C. Levey
Affiliation:
Department of MathematicsThe UniversityManchester
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Abstract

In this paper, a family of exact solutions of the problem of two-dimensional flow of a compressible perfect fluid about a cylinder is found, the solutions being generalized from those for the flow of an incompressible fluid about an elliptic cylinder of arbitrary eccentricity and angle of attack. The circulation is taken to be zero and the speed of the fluid at infinity subsonic. This analysis is an application of the general theory given by T. M. Cherry (1, 2); it was done to exhibit the details of the analysis for a flow other than that corresponding to the low-speed flow past a circular cylinder.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 46 , Issue 3 , July 1950 , pp. 479 - 491
Copyright
Copyright © Cambridge Philosophical Society 1950

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References

REFERENCES

(1)Cherry, T. M.Flow of a compressible fluid about a cylinder. Proc. Roy. Soc. A, 192 (1947), 45.Google Scholar
(2)Cherry, T. M.Flow with circulation (Part II). Proc. Roy. Soc. A, 196 (1949), 1.Google Scholar
(3)Tsien, H. S. and Kuo, Y. H.Two-dimensional irrotational mixed subsonic and supersonic flow of a compressible fluid and the upper critical Mach number. Tech. Notes Nat. Adv. Comm. Aero., Washington, no. 995 (05 1946).Google Scholar
(4)Lighthill, M. J.The hodograph transformation in trans-sonic flow. III. Proc. Roy. Soc. A, 191 (1947), 352–69.Google Scholar
(5)Goldstein, S., Lighthill, M. J. and Craggs, J. W.The hodograph transformation in high-speed flow. Quart. J. Mech. Appl. Math. 1 (1948), 344–51.CrossRefGoogle Scholar