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Analysis and modelling of unsteady shock train motions

Published online by Cambridge University Press:  04 May 2018

Bing Xiong Open the ORCID record for Bing Xiong [Opens in a new window] ,
Xiao-qiang Fan ,
Zhen-guo Wang  and
Yuan Tao Open the ORCID record for Yuan Tao [Opens in a new window]
Bing Xiong
Affiliation:
Science and Technology on Scramjet Laboratory, National University of Defense Technology, Changsha, 410073, PR China
Xiao-qiang Fan*
Affiliation:
Science and Technology on Scramjet Laboratory, National University of Defense Technology, Changsha, 410073, PR China
Zhen-guo Wang
Affiliation:
Science and Technology on Scramjet Laboratory, National University of Defense Technology, Changsha, 410073, PR China
Yuan Tao
Affiliation:
Science and Technology on Scramjet Laboratory, National University of Defense Technology, Changsha, 410073, PR China
*
†Email address for correspondence: xiaoqiangfan@hotmail.com
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Abstract

The characteristics and mechanism for unsteady shock train motions were experimentally studied in a constant-area rectangular duct. High-speed Schlieren techniques and high-frequency pressure measurements were utilized in this research. The results show that the shock train undergoes periodical motions in response to downstream periodical excitations. The mechanism for unsteady shock train motions is that the shock train keeps changing its moving speed to change the relative Mach number ahead of shock train to match the varying back-pressure condition. It can be found that the unsteady shock train motion can be predicted well with a theoretical model, which is based on this mechanism. A correlation between the amplitude of shock train motions and some flow parameters was illustrated using an analytical equation, which was confirmed by the experimental results.

JFM classification

Compressible Flows: Gas dynamics Aerodynamics: High-speed flow Compressible Flows: Shock waves

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Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 846 , 10 July 2018 , pp. 240 - 262
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Copyright
© 2018 Cambridge University Press 

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