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Higher-Order Solutions for Unsteady Hypersonic and Supersonic Flow

Published online by Cambridge University Press:  07 June 2016

W H Hui  and
J Hamilton
W H Hui
Affiliation:
University of Waterloo, Ontario, Canada
J Hamilton
Affiliation:
University of Southampton
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Summary

The problem of unsteady hypersonic and supersonic flow with attached shock wave past wedge-like bodies is studied, using as a basis the assumption that the unsteady flow is a small perturbation from a steady uniform wedge flow. It is formulated in the most general case and applicable for any motion or deformation of the body. A method of solution to the perturbation equations is given by expanding the flow quantities in power series in M−2, M being the Mach number of the steady wedge flow. It is shown how solutions of successive orders in the series may be calculated. In particular, the second-order solution is given and shown to give improvements uniformly over the first-order solution.

Type
Research Article
Information
Aeronautical Quarterly , Volume 25 , Issue 1 , February 1974 , pp. 59 - 68
Copyright
Copyright © Royal Aeronautical Society. 1974

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References

1 Miles, J W, Potential Theory of Unsteady Supersonic Flow, University Press, Cambridge, 1959.Google Scholar
2 Lighthill, M J, Oscillating aerofoils at high Mach number. Journal of the Aeronautical Sciences, Vol 20, p 402, 1953.CrossRefGoogle Scholar
3 Miles, J W, Unsteady flow at hypersonic speeds. In Hypersonic Flow, Butterworths, London, p 185, 1960.Google Scholar
4 Zartarian, G, Hsu, P T, Ashley, H, Dynamic airloads and aeroelastic problems at entry Mach numbers. Journal of the Aerospace Sciences, Vol 28, p 209, 1961.CrossRefGoogle Scholar
5 Appleton, J P, Aerodynamic pitching derivatives of a wedge in hypersonic flow. AIAA Journal, Vol 2, p 2034, 1964.CrossRefGoogle Scholar
6 Mclntosh, S C Jr, Hypersonic flow over an oscillating wedge. AIAA Journal, Vol 3, p 433, 1965.CrossRefGoogle Scholar
7 Hui, W H, Stability of oscillating wedges and caret wings in hypersonic and supersonic flows. AIAA Journal, Vol 7, p 1524, 1969.CrossRefGoogle Scholar
8 Hui, W H, Interaction of strong shock with Mach waves in unsteady flow. AIAA Journal, Vol 7, p 1605, 1969. General perturbation theory for hypersonic and supersonic flows past a wedge. AASU Report 276, University of Southampton, 1967.Google Scholar
9 Hui, W H, Effects of upstream unsteadiness on hypersonic flow past a wedge. Physics of Fluids, Vol 15, p 1747, 1972.CrossRefGoogle Scholar
10 Hui, W H, East, R A, Stability derivatives of sharp wedges in viscous hypersonic flow. Aeronautical Quarterly, Vol XXII, p 127, 1971.CrossRefGoogle Scholar
11 Pugh, P G, Woodgate, L, Measurements of pitching moment derivatives for blunt-nosed aerofoils oscillating in two-dimensional supersonic flow. ARC R&M 3315, 1963.Google Scholar