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Mach stem deformation in pseudo-steady shock wave reflections

Published online by Cambridge University Press:  20 December 2018

Xiaofeng Shi ,
Yujian Zhu ,
Jiming Yang  and
Xisheng Luo Open the ORCID record for Xisheng Luo [Opens in a new window]
Xiaofeng Shi
Affiliation:
Department of Modern Mechanics, University of Science and Technology of China, Hefei 230026, China
Yujian Zhu*
Affiliation:
Department of Modern Mechanics, University of Science and Technology of China, Hefei 230026, China
Jiming Yang
Affiliation:
Department of Modern Mechanics, University of Science and Technology of China, Hefei 230026, China
Xisheng Luo*
Affiliation:
State Key Laboratory of Fire Sciences, University of Science and Technology of China, Hefei 230026, China
*
†Email addresses for correspondence: yujianrd@ustc.edu.cn, xluo@ustc.edu.cn
†Email addresses for correspondence: yujianrd@ustc.edu.cn, xluo@ustc.edu.cn
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Abstract

The deformation of the Mach stem in pseudo-steady shock wave reflections is investigated numerically and theoretically. The numerical simulation provides the typical flow patterns of Mach stem deformation and reveals the differences caused by high-temperature gas effects. The results also show that the wall jet, which causes Mach stem deformation, can be regarded as a branch of the mainstream from the first reflected shock. A new theoretical model for predicting the Mach stem deformation is developed by considering volume conservation. The theoretical predictions agree well with the numerical results in a wide range of test conditions. With this model, the wall-jet velocity and the inflow velocity from the Mach stem are identified as the two dominating factors that convey the influence of high-temperature thermodynamics. The mechanism of high-temperature gas effects on the Mach stem deformation phenomenon are then discussed.

JFM classification

Aerodynamics: Aerodynamics Compressible Flows: Compressible Flows Compressible Flows: Shock waves
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 861 , 25 February 2019 , pp. 407 - 421
Copyright
© 2018 Cambridge University Press 

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