A theoretical method for solving shock relations coupled with chemical equilibrium and its applications

doi:10.1016/j.cja.2021.08.021

	A theoretical method for solving shock relations coupled with chemical equilibrium and its applications
	Zhang, Zijian 1; Wen, Chihyung 1; Zhang WS(张文硕)2,3 ; Liu YF(刘云峰)2,3 ; Jiang ZL(姜宗林)2,3
通讯作者	Liu, Yunfeng(liuyunfeng@imech.ac.cn)
发表期刊	CHINESE JOURNAL OF AERONAUTICS
	2022-06-01
卷号	35 期号:6 页码:47-62
ISSN	1000-9361
摘要	In this study, a theoretical method is proposed to solve shock relations coupled with chemical equilibrium. Not only shock waves in dissociated flows but also detonation waves in com-bustive mixtures can be solved. The global iterative solving process is specially designed to mimic the physical and chemical process in reactive shock waves to ensure good stability and fast conver-gence in the proposed method. Within each global step, the single-variable equations of normal and oblique shock relations are derived and solved with the Newton iteration method to reduce the com-plexity of the problems, and the minimization of free energy method of NASA (National Aeronau-tics and Space Administration) is adopted to solve equilibrium compositions. It is demonstrated that the convergent process is stable and very close to the real chemical-kinetic process, and high accuracy is achieved in the solutions of normal and oblique reactive shock waves. Moreover, the proposed theoretical method has also been applied to many problems associated with reactive shocks, including the stability of oblique detonation wave, bow detonation over a sphere, and shock reflection in dissociated air. The great importance of using chemical equilibrium to theoretically pre-dict the theoretical range of the wedge angle for a standing oblique detonation wave (the standing window of the oblique detonation wave), the stand-off distance of bow detonation wave and the transition criterion of shock reflection in dissociated air with high accuracy have been addressed.(c) 2021 Chinese Society of Aeronautics and Astronautics. Production and hosting by Elsevier Ltd. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
关键词	Chemical equilibrium Detonation Dissociated air Shock relation Theoretical solution
DOI	10.1016/j.cja.2021.08.021
收录类别	SCI ; EI ; CSCD
语种	英语
WOS记录号	WOS:000795531300003
关键词[WOS]	STAND-OFF DISTANCE ; OXYGEN MIXTURES ; MACH REFLECTION ; CE/SE METHOD ; OBLIQUE ; WAVES ; TRANSITION ; CRITERIA ; FLOW
WOS研究方向	Engineering
WOS类目	Engineering, Aerospace
资助项目	National Natural Science Foundation of China[11672312] ; National Natural Science Foundation of China[11772284] ; National Natural Science Foundation of China[11532014] ; Research Grants Council, Hong Kong, China[152151/16E] ; Department of Mechanical Engineering, Hong Kong Polytechnic University, China[G-YBYJ]
项目资助者	National Natural Science Foundation of China ; Research Grants Council, Hong Kong, China ; Department of Mechanical Engineering, Hong Kong Polytechnic University, China
论文分区	一类
力学所作者排名	1
RpAuthor	Liu, Yunfeng
引用统计	被引频次：8[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/89442
专题	高温气体动力学国家重点实验室
作者单位	1.Hong Kong Polytech Univ, Dept Aeronaut & Aviat Engn, Hong Kong, Peoples R China; 2.Chinese Acad Sci, Inst Mech, Beijing 100190, Peoples R China; 3.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Zijian,Wen, Chihyung,Zhang WS,et al. A theoretical method for solving shock relations coupled with chemical equilibrium and its applications[J]. CHINESE JOURNAL OF AERONAUTICS,2022,35,6,:47-62.
APA	Zhang, Zijian,Wen, Chihyung,张文硕,刘云峰,&姜宗林.(2022).A theoretical method for solving shock relations coupled with chemical equilibrium and its applications.CHINESE JOURNAL OF AERONAUTICS,35(6),47-62.
MLA	Zhang, Zijian,et al."A theoretical method for solving shock relations coupled with chemical equilibrium and its applications".CHINESE JOURNAL OF AERONAUTICS 35.6(2022):47-62.

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