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Stability Derivatives of Sharp Wedges in Viscous Hypersonic Flow

Published online by Cambridge University Press:  07 June 2016

W. H. Hui  and
R. A. East
W. H. Hui
Affiliation:
Department of Aeronautics and Astronautics, University of Southampton
R. A. East
Affiliation:
Department of Aeronautics and Astronautics, University of Southampton
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Summary

Using a perturbation method, the formulae for the pitching stability derivatives of sharp wedges at zero incidence in viscous hypersonic flow are obtained in closed form. The results include the effect of unsteady reflected waves from the bow shock and may be applied to any wedge provided that the bow shock is attached. The effect of viscosity of the gas is included in two parts: first, it thickens the wedge, thus introducing the concept of an effective wedge, thicker than the original wedge by a semi-vertex angle equal to the average inclination of the displacement boundary layer; secondly, it makes this effective wedge deformable. Comparison with previous theories is given.

Type
Research Article
Information
Aeronautical Quarterly , Volume 22 , Issue 2 , May 1971 , pp. 127 - 145
Copyright
Copyright © Royal Aeronautical Society. 1971

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References

1. Orlik-Rückemann, K. J. Stability derivatives of sharp wedges in viscous hypersonic flow. AIAA Journal, Vol. 4, June 1966.Google Scholar
2. Hui, W. H. Stability of oscillating wedges and caret wings in hypersonic and supersonic flows. AlAA Journal, Vol. 7, No. 8, 1969. University of Southampton, AASU Report 277, 1967.Google Scholar
3. Hut, W. H. Interaction of a strong shock with Mach waves in unsteady flow. AlAA Journal, Vol. 7, No. 8, 1969. University of Southampton, AASU Report 276, 1967.Google Scholar
4. East, R. A. A theoretical and experimental study of oscillating wedge-shaped aerofoils in hypersonic flow. University of Southampton, AASU Report 228, Nov. 1962.Google Scholar
5. Moore, F. K. Unsteady laminar boundary-layer flow. NACA TN 2471, September 1951.Google Scholar
6. Moore, F. K. and Ostrash, S. Displacement thickness of the unsteady boundary layer. Journal of the Aeronautical Sciences, Vol. 24, No. 1, January 1957.Google Scholar
7. Moore, F. K. Aerodynamic effects of boundary layer unsteadiness. Proceedings, 6th Anglo-American Aeronautical Conference, Folkestone, September 1957.Google Scholar
8. Hayes, W. D. and Probstein, R. F. Hypersonic flow theory. Academic Press, New York, 1959.Google Scholar
9. Hui, W. H. Stability derivatives of sharp wedges in viscous hypersonic flow including the effects of thickness and wave reflection. University of Southampton, AASU Report 278, 1968.Google Scholar