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Theoretical approach to one-dimensional detonation instability
Wang C(王春); Xiang GX(项高翔); Jiang ZL(姜宗林); Wang, C (reprint author), Chinese Acad Sci, State Key Lab High Temp Gas Dynam, Beijing 100190, Peoples R China.
Source PublicationAPPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
2016
Volume37Issue:9Pages:1231-1238
ISSN0253-4827
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.

KeywordDetonation Wave Detonation Instability Shock Wave Chemical Reaction
DOI10.1007/s10483-016-2124-6
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Indexed BySCI ; EI ; CSCD
Language英语
WOS IDWOS:000383032700008
WOS KeywordDetonation Wave ; Detonation Instability ; Shock Wave ; Chemical Reaction
WOS Research AreaMathematics ; Mechanics
WOS SubjectMathematics, Applied ; Mechanics
Funding OrganizationProject supported by the National Natural Science Foundation of China (No. 90916028) and the Innovation Program of the State Key Laboratory of High Temperature Gas Dynamics of Institute of Mechanics, Chinese Academy of Sciences
DepartmentLHD激波与爆轰物理
Classification二类
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/59724
Collection高温气体动力学国家重点实验室
Corresponding AuthorWang, C (reprint author), Chinese Acad Sci, State Key Lab High Temp Gas Dynam, Beijing 100190, Peoples R China.
Recommended Citation
GB/T 7714
Wang C,Xiang GX,Jiang ZL,et al. Theoretical approach to one-dimensional detonation instability[J]. APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION,2016,37(9):1231-1238.
APA Wang C,Xiang GX,Jiang ZL,&Wang, C .(2016).Theoretical approach to one-dimensional detonation instability.APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION,37(9),1231-1238.
MLA Wang C,et al."Theoretical approach to one-dimensional detonation instability".APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION 37.9(2016):1231-1238.
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