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Hypersonic large-deflection similitude for quasi-wedges and quasi-cones

Published online by Cambridge University Press:  04 July 2016

Kunal Ghosh*
Affiliation:
Department of Aeronautical EngineeringIndian Institute of Technology, Kanpur, India

Summary

Ghosh's large-deflection hypersonic similitude and piston theory for plane flows have been extended to axisymmetric flows: a new piston motion in conico-annular space as an extension to Sedov's axisymmetric piston has been proposed and a set of ordinary differential equation for 1-D unsteady motion obtained. Wedge and cone flow solutions are obtained without the constant-density assumption of the earlier theory; the pressure ratio is expressed as a closed form function of the similarity parameter whereas the previous constant density theory gave an iterative procedure. The present theory unifies small disturbance theory and constant density theory.

Type
Research Article
Copyright
Copyright © Royal Aeronautical Society 1984 

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References

1. Ghosh, K. A new similitude for aerofoils in hypersonic flow, Proc. of the 6th Canadian Congress of Appl. Mech., Vancouver, Canada. 1977. 685686.Google Scholar
2. Ghosh, Kunal and Mistry, B. K. Large incidence hypersonic similitude and oscillating non-planar wedges, AIAA Journal August 1980, 10, 8, 10041006.Google Scholar
3. Ghosh, Kunal. Large deflection similitude and Conico-annular Piston Analogy for Non-slender Cones in Hypersonic Flow, Report No. AE (KG)-l. 1983.Google Scholar
4. Hayes, W. D. and Probstein, R. F. Hypersonic flow theory, 1966, 1, Academic Press, New York, London.Google Scholar
5. Sedov, L. I. Similarity and dimensional methods in mechanics, Gostekhizdat, Moscow, English transl. (Hott, M., Ed. 1959), Academic Press, New York.Google Scholar
6. Ames Research Staff, equations, tables and charts for compressible flow, NACA Rep. 1135, 1953.Google Scholar