| A theoretical method for solving shock relations coupled with chemical equilibrium and its applications | |
Zhang, Zijian1; Wen, Chihyung1; Zhang WS(张文硕)2,3 ; Liu YF(刘云峰)2,3; Jiang ZL(姜宗林)2,3
| |
| Corresponding Author | Liu, Yunfeng([email protected]) |
| Source Publication | CHINESE JOURNAL OF AERONAUTICS
 |
| 2022-06-01 | |
| Volume | 35Issue:6Pages:47-62 |
| ISSN | 1000-9361 |
| Abstract | 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/). |
| Keyword | Chemical equilibrium Detonation Dissociated air Shock relation Theoretical solution |
| DOI | 10.1016/j.cja.2021.08.021 |
| Indexed By | SCI ; EI ; CSCD |
| Language | 英语 |
| WOS ID | WOS:000795531300003 |
| WOS Keyword | STAND-OFF DISTANCE ; OXYGEN MIXTURES ; MACH REFLECTION ; CE/SE METHOD ; OBLIQUE ; WAVES ; TRANSITION ; CRITERIA ; FLOW |
| WOS Research Area | Engineering |
| WOS Subject | Engineering, Aerospace |
| Funding Project | 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] |
| Funding Organization | National Natural Science Foundation of China ; Research Grants Council, Hong Kong, China ; Department of Mechanical Engineering, Hong Kong Polytechnic University, China |
| Classification | 一类 |
| Ranking | 1 |
| Contributor | Liu, Yunfeng |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/89442 |
| Collection | 高温气体动力学国家重点实验室 |
| Affiliation | 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 |
| Recommended Citation 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.Rp_Au:Liu, Yunfeng |
| 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. |
| Files in This Item: | Download All | |||||
| File Name/Size | DocType | Version | Access | License | ||
| Jp2022FA317_2022_A t（3178KB） | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | View Download | |
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Edit Comment