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The Three-Shock Confluence Problem for Normally Impinging, Overexpanded Jets

Published online by Cambridge University Press:  07 June 2016

G T Kalghatgi  and
B L Hunt
G T Kalghatgi
Affiliation:
Department of Aeronautical Engineering, University of Bristol
B L Hunt
Affiliation:
Department of Aeronautical Engineering, University of Bristol
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Summary

In this paper, a systematic study of the triple shock confluence point is presented for the case of an overexpanded jet which impinges on a perpendicular flat plate at small displacements from the nozzle. The jet is uniform upstream of the free jet shock wave. Non-homentropic effects are taken into account and lead to modifications to the accepted flow patterns at a triple point for the case of strong incident shock waves. Where more than one thermodynamically possible solution to the triple point equations exists, the alternative solutions are re-examined, taking non-homentropic effects into consideration. Some discussion of the possibility of infinite shock curvatures is also included. Qualitative flow patterns of the impinging flow are constructed, based on the triple point solutions and the known boundary conditions. The interesting cases where the tail shock flow is supersonic are given particular attention and two possible flow patterns are distinguished. Finally, some experimental evidence in the form of schlieren pictures is presented. Although not conclusive, this evidence supports the theory.

Type
Research Article
Information
Aeronautical Quarterly , Volume 26 , Issue 2 , May 1975 , pp. 117 - 132
Copyright
Copyright © Royal Aeronautical Society. 1975

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References

1 Gummer, J H Hunt, B L The impingement of non-uniform, axisymmetric, supersonic jets on a perpendicular flat plate. Israel Journal of Technology, Vol 12, p 221, November 1974.Google Scholar
2 Henderson, L F On the confluence of three shock waves in a perfect gas. Aeronautical Quarterly, Vol XV, p 181, May 1964.CrossRefGoogle Scholar
3 Henderson, L F The three shock confluence on a simple wedge intake. Aeronautical Quarterly, Vol XVI, p 42, February 1965.CrossRefGoogle Scholar
4 Gummer, J H Hunt, B L The impingement of a uniform, axisymmetric, supersonic jet on a perpendicular flat plate. Aeronautical Quarterly, Vol XXII, p 403, November 1971.CrossRefGoogle Scholar
5 Guderley, K G The Theory of Transonic Flow. Pergamon Press, 1962.Google Scholar
6 Hunt, B L Waves near a sonic line in non-homentropic flow. Aeronautical Quarterly, Vol XXIII, p 7, February 1972.CrossRefGoogle Scholar
7 Sternberg, J Triple shock wave intersections. Physics of Fluids, Vol 2, p 179, March 1959.CrossRefGoogle Scholar
8 Carling, J C Hunt, B L The near wall jet of a normally impinging, uniform, axisymmetric, supersonic jet. Journal of Fluid Mechanics, Vol 66, p 159, October 1974.CrossRefGoogle Scholar
9 Pack, D C The reflexion and diffraction of shock waves. Journal of Fluid Mechanics, Vol 18, p 549, April 1964.CrossRefGoogle Scholar
10 Skews, B W The flow in the vicinity of a three-shock intersection. Canadian Aeronautics and Space Institute, Transactions, Vol 4, p 99, September 1971.Google Scholar
11 Mölder, S Polar streamline directions at the triple point of Mach interaction of shock waves. Canadian Aeronautics and Space Institute, Transactions, Vol 15, p 88, September 1972.Google Scholar