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Viscous effects of shock reflection hysteresis in steady supersonic flows

Published online by Cambridge University Press:  31 October 2014

Yuan Tao ,
Xiaoqiang Fan  and
Yilong Zhao
Yuan Tao
Affiliation:
Science and Technology on Scramjet Laboratory, National University of Defense Technology, Changsha 410073, PR China
Xiaoqiang Fan*
Affiliation:
Science and Technology on Scramjet Laboratory, National University of Defense Technology, Changsha 410073, PR China
Yilong Zhao
Affiliation:
Science and Technology on Scramjet Laboratory, National University of Defense Technology, Changsha 410073, PR China
*
†Email address for correspondence: [email protected]
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Abstract

In this paper, the viscous effects of shock reflection hysteresis in steady supersonic flow is studied analytically, experimentally and numerically, taking the boundary layer developed over the reflecting surface into consideration. Based on a hypothesis that the interaction origin keep invariable during the shock–boundary layer interaction, the separation region is replaced by a virtual wedge with a fixed angle. Combined the free-interaction theory with the shock reflection hysteresis theory, a detailed analysis describing the viscous flow structures of shock reflection configurations is proposed. It is illustrated by mean of further analysis that a shock reflection hysteresis which is similar to the one that exists in the reflection of symmetric shock waves is found theoretically. Experimental results verify the analytical interaction model as well as the existence of two shock reflection patterns, although the hysteresis is not conformed by experiments. This paper also presents results of simulations for the hysteresis process which results from keeping the wedge angle constant and changing the free-stream Mach number, for confirming the hysteresis phenomenon.

JFM classification

Boundary Layers: Boundary layer separation Boundary Layers: Boundary layer structure Compressible Flows: Shock waves
Type
Papers
Information
Journal of Fluid Mechanics , Volume 759 , 25 November 2014 , pp. 134 - 148
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Copyright
© 2014 Cambridge University Press 

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