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A solution for hypersonic flow past slender bodies

Published online by Cambridge University Press:  29 March 2006

W. H. Hui
W. H. Hui
Affiliation:
Department of Aeronautics and Astronautics, University of Southampton
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Abstract

A solution to the hypersonic small disturbance equations is obtained for a class of two-dimensional bodies supporting logarithmic shock waves by reducing the partial differential equation to an ordinary differential equation. The body shape is calculated and shown not to be logarithmic if γ ≠ 1, where γ is the ratio of the specific heats of the gas.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 48 , Issue 1 , 13 July 1971 , pp. 23 - 31
Copyright
© 1971 Cambridge University Press

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References

Cole, J. D. & Aroesty, J. 1970 Hypersonic similarity solutions for airfoils supporting exponential shock waves A.I.A.A. J. 8, 308.Google Scholar
Mirels, H. 1962 Hypersonic flow over slender bodies associated with power law shocks. Advances in Applied Mechanics, vol. vii.
Sedov, L. I. 1959 Similarity and Dimensional Methods in Mechanics, 4th edition, ch. iv. (English transl. ed. M. Holt.) Academic.