NDLI: Theoretical approach to one-dimensional detonation instability

Content Provider	Springer Nature Link
Author	Xiang, Gaoxiang Jiang, Zonglin Wang, Chun
Copyright Year	2016
Abstract	Detonation instability is a fundamental problem for understanding the micro-behavior of a detonation front. With the theoretical approach of shock dynamics, detonation instability can be mathematically described as a second-order ordinary difference equation. A one-dimensional detonation wave can be modelled as a type of oscillators. There are two different physical mechanisms controlling the behaviors of a detonation. If the shock Mach number is smaller than the equilibrium Mach number, the fluid will reach the sonic speed before the end of the chemical reaction. Then, thermal chock occurs, and the leading shock becomes stronger. If the shock Mach number is larger than the equilibrium Mach number, the fluid will be subsonic at the end of the chemical reaction. Then, the downstream rarefaction waves propagate upstream, and weaken the leading shock. The above two mechanisms are the basic recovery forces toward the equilibrium state for detonation sustenance and propagation. The detonation oscillator concept is helpful for understanding the oscillating and periodic behaviors of detonation waves. The shock dynamics theory of detonation instability gives a description of the feedback regime of the chemical reaction, which causes variations of the leading shock of the detonation.
Ending Page	1238
Page Count	8
Starting Page	1231
File Format	PDF
ISSN	02534827
e-ISSN	15732754
Journal	Applied Mathematics and Mechanics
Issue Number	9
Volume Number	37
Language	English
Publisher	Shanghai University
Publisher Date	2016-07-28
Publisher Place	Shanghai
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	shock wave Shock waves and blast waves detonation wave Classical Mechanics chemical reaction detonation instability Combustion Applications of Mathematics Mathematical Modeling and Industrial Mathematics
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Mechanics of Materials Mechanical Engineering

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