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The Supersonic Flow Past an Elliptic Cone

Published online by Cambridge University Press:  07 June 2016

B. A. Woods
B. A. Woods*
Affiliation:
Department of Mathematics, University of Leeds*
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Summary

The supersonic flow past an elliptic cone of small eccentricity is treated as a pertubation of the axially-symmetric conical flow. The perturbation is singular; a uniformly valid solution is constructed by formulating the problem in sphero-conal coordinates (in which the cone surface is always a level surface of one of the coordinates) and by using the method of matched asymptotic expansions. This formulation enables first-order results to be obtained economically. In a numerical example for the flow past a cone of quite large eccentricity at incidence, it is shown that the present first-order solution (of three terms) agrees as well with experiment as a ten-term approximation obtained by Martellucci using the method of linearised characteristics.

Information

Type
Research Article
Information
Aeronautical Quarterly , Volume 20 , Issue 4 , November 1969, pp. 382 - 404
Copyright
Copyright © Royal Aeronautical Society. 1964

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References

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