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Morphology of oblique detonation waves in a stoichiometric hydrogen–air mixture

Published online by Cambridge University Press:  19 February 2021

Honghui Teng Open the ORCID record for Honghui Teng [Opens in a new window] ,
Cheng Tian ,
Yining Zhang ,
Lin Zhou Open the ORCID record for Lin Zhou [Opens in a new window]  and
Hoi Dick Ng Open the ORCID record for Hoi Dick Ng [Opens in a new window]
Honghui Teng
Affiliation:
School of Aerospace Engineering, Beijing Institute of Technology, Beijing100081, PR China
Cheng Tian
Affiliation:
School of Aerospace Engineering, Beijing Institute of Technology, Beijing100081, PR China
Yining Zhang
Affiliation:
State Key Laboratory of Laser Propulsion and Application, Beijing Power Machinery Institute, Beijing100074, PR China
Lin Zhou*
Affiliation:
School of Aerospace Engineering, Beijing Institute of Technology, Beijing100081, PR China State Key Laboratory of Laser Propulsion and Application, Beijing Power Machinery Institute, Beijing100074, PR China
Hoi Dick Ng
Affiliation:
Department of Mechanical, Industrial and Aerospace Engineering, Concordia University, Montreal, QCH3G 1M8, Canada
*
†Email address for correspondence: linxzhou@foxmail.com
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Abstract

Although the morphology of oblique detonation waves (ODWs) has been widely studied, it remains impossible to predict the wave systems in the initiation region, which is a critical component in promoting engine applications. Such wave systems are usually viewed as secondary ODWs or compression waves (CWs), introducing some structural ambiguities and contradictions with recent observations. In this study, ODWs are simulated numerically in a stoichiometric hydrogen–air mixture and their morphological features are analysed. To cover a wide range of flight conditions physically, the control parameters are the flight altitude $H_{0}$ and Mach number $M_{1}$ of an ODW-based engine. Numerical results reveal the morphological variations with respect to $H_{0}$ and $M_{1}$, within which two special wave systems arise. One wave system indicates that the CW might induce an abrupt transition, and the other indicates that the classical secondary ODW might evolve into a normal detonation wave, another illustration of the well-known ‘detonation-behind-shock’ wave configurations. To clarify the mechanism of wave system variation, a geometric analysis of two characteristic heights demonstrates that the wave system could be predicted from the viewpoint of CW convergence. Moreover, analysis of the induction zone Mach number, compared with the corresponding Chapman–Jouguet Mach number, provides a criterion for the normal detonation wave formation. These semi-theoretical approaches collectively enhance our understanding of the wave system physically.

JFM classification

Compressible Flows: Detonation waves
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 913 , 25 April 2021 , A1
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Copyright
© The Author(s), 2021. Published by Cambridge University Press

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