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Shock reflection in the presence of an upstream expansion wave and a downstream shock wave

Published online by Cambridge University Press:  22 October 2013

Y. Yao ,
S. G. Li  and
Z. N. Wu
Y. Yao
Affiliation:
Department of Engineering Mechanics, Tsinghua University, Beijing 100084, PR China
S. G. Li
Affiliation:
Department of Engineering Mechanics, Tsinghua University, Beijing 100084, PR China
Z. N. Wu*
Affiliation:
Department of Engineering Mechanics, Tsinghua University, Beijing 100084, PR China
*
†Email address for correspondence: [email protected]
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Abstract

In this paper, we consider shock reflection problems, occurring in supersonic and hypersonic intake flow under off-design conditions, in which the incident shock wave is disturbed by the lip-generated upstream expansion wave and the reflected shock wave intersects with a downstream cowl-turning deflected shock wave. The expansion wave and deflected shock wave are here generated with the same magnitude of flow deflection angle or turning angle. With the help of shock interaction theory and numerical simulation, the influence of the turning angle of the lip and cowl on the flow structure and the critical conditions for transition between regular reflection and Mach reflection are analysed. It is found that the dual-solution domain is significantly altered by the interference between the expansion wave and shock waves. The flow structure in the condition of Mach reflection is then analysed with a model updated from a previous study. It is shown that the Mach stem height is an increasing function of the turning angle, while the horizontal position of the Mach stem is shifted in the downstream direction for small turning angle and in the upstream direction for large turning angle.

JFM classification

Aerodynamics: High-speed flow Compressible Flows: Shock waves
Type
Papers
Information
Journal of Fluid Mechanics , Volume 735 , 25 November 2013 , pp. 61 - 90
Copyright
©2013 Cambridge University Press 

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