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Determination of the sonic line in hypersonic flow past a blunt body

Published online by Cambridge University Press:  28 March 2006

M. I. G. Bloor
M. I. G. Bloor
Affiliation:
Department of Mathematics, University of Manchester Now of Department of Mathematics, University of Leeds.
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Abstract

The Newtonian theory of inviscid hypersonic flow is extended to obtain a solution uniformly valid in the subsonic region, and that is used to determine the position and shape of the sonic line. The main modification to the theory has to be made near the body surface and an expansion, essentially in terms of the stream function, is employed.

For simplicity the solution is limited to the cases of axially- and plane-symmetric flows. As an illustration of the theory the flows past a sphere and a circular cylinder are treated in some detail. Comparison with the numerical results of Garabedian and Lieberstein gives favourable agreement.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 21 , Issue 3 , March 1965 , pp. 495 - 501
Copyright
© 1965 Cambridge University Press

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References

Hayes, W. D. & Probstein, R. F. 1959 Hypersonic Flow Theory. New York: Academic Press.
Freeman, N. C. 1956 J. Fluid Mech. 1, 366.