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Linearized pressure distributions with strong supersonic entropy layers

Published online by Cambridge University Press:  28 March 2006

R. D. Sullivan ,
C. DuP. Donaldson  and
W. D. Hayes
R. D. Sullivan
Affiliation:
Aeronautical Research Associates of Princeton, Inc.
C. DuP. Donaldson
Affiliation:
Aeronautical Research Associates of Princeton, Inc.
W. D. Hayes
Affiliation:
Princeton University
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Abstract

The pressure distribution which results from the disturbance of initially plane, parallel, and constant-pressure inviscid supersonic flow in which there is a strong entropy variation near a surface is investigated. The disturbance considered may arise from a small deflection of the surface or may be the result of a simple wave impinging on the entropy layer. This linear problem has been treated previously by a somewhat different technique for transonic entropy layers by Howarth (1948), Tsien & Finston (1949), and Lighthill (1950, 1953). The results obtained in this investigation are useful principally in that they permit the general behaviour of such pressure distributions to be deduced without resort to the more general method of characteristics for rotational flows.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 16 , Issue 4 , August 1963 , pp. 481 - 496
Copyright
© 1963 Cambridge University Press

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References

Hayes, W. D & Probstein, R. F. 1959 Hypersonic Flow Theory, p. 255. New York: Academic Press.
Howarth, L. 1948 Proc. Camb. Phil. Soc. 44, 380.
Lighthill, M. J. 1950 Quart. J. Mech. Appl. Math. 3, 303.
Lighthill, M. J. 1953 Proc. Roy. Soc. A, 217, 478.
Scheuing, R. A., Mead, H. R., Brook, J. W., Melnik, R. E., Hayes, W. D. & Gray, K. E. 1959 Grumman Aircraft Engineering Corporation Research Rep. RE-124.
Tsien, H. S. & Finston, M. 1949 J. Aero. Sci. 16, 515.