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Applications of the theory of the general hodograph equation

Part I. Kirchhoff-Helmholtz flow past a wedge

Published online by Cambridge University Press:  24 October 2008

A. G. Mackie
A. G. Mackie
Affiliation:
St Salvator's CollegeSt Andrews
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Abstract

The solutions of the equation

obtained by the author in (3) are applied to determine the Kirchhoff-Helmholtz flow past a wedge in which the free stream Mach number has any value from 0 to 1 inclusive. For small wedge angles the results are developed further and expressions are found for the drag coefficient and for the asymptotic shape of the free streamlines far downstream. While general formulae are obtained for an arbitrary functionk(σ) more detailed results are given for the particular function k(σ) which corresponds to the case of a polytropic gas.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 58 , Issue 4 , October 1962 , pp. 631 - 637
Copyright
Copyright © Cambridge Philosophical Society 1962

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References

REFERENCES

(1)Lamb, H., Hydrodynamics (Cambridge, 1906).Google Scholar
(2)Lighthill, M. J., Proc. Roy. Soc. London, Ser. A, 191 (1947), 341.Google Scholar
(3)Mackie, A. G., Proc. Cambridge Philos. Soc. 54 (1958), 538.CrossRefGoogle Scholar
(4)Tulin, M. P., Proceedings of the Second Symposium on Naval Hydrodynamics, Washington, D.C., 1958. Office of Naval Research ACR–38.Google Scholar