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| TRANSITION FROM A DEFLAGRATION TO A DETONATION IN GAS DYNAMIC COMBUSTION＊＊＊＊ | |
| 作者姓名： | CHEN Shaozhong LI Jiequan ZHANG Tong |
| 作者单位： | CHEN SHAOZHONG LI JIEQUAN ZHANG TONG Department of Mathematics，Capital Normai University，Beijing 100037，China. Department of Mathematics，Ningbo University，Ningbo 315211，Zhejiang，China. Department of Mathematics，Ningbo University，Ningbo 315211，Zhejiang，China. Institute of Mathematics，Academy of Mathematics and System Sciences，the Chinese Academy of Sciences，Beijing 100080，China. |
| 基金项目： | the Program of Key Laboratory of Military Defenses(No.00JS75.1.1.QT1901). |
| 摘 要： | The transition from a deflagration to a detonation (DDT) in gas dynamics is investigated through the process of a deflagration with a imite width flame overtaken by a shock. The problem is formulated as a free boundary value problem in an angular domain with a strong detonation and a reflected shock as boundaries. The main difficulty lies in the fact that the strength of reflected shock is zero at the vertex where the shock speed degenerates to be the same as the characteristic speed. The conclusion is that a strong detonation and a retonation (a reflected shock) form locally. Also the entropy satisfaction of this solution is presented. |
| 关 键 词： | 气体动力学燃烧 爆燃 爆震 回波 自由边值问题 偏微分方程 不等式 熵 局部解 |
| 收稿时间： | 4/3/2018 12:00:00 AM |
TRANSITION FROM A DEFLAGRATION TO A DETONATION IN GAS DYNAMIC COMBUSTION |
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| CHEN Shaozhong,LI Jiequan,ZHANG Tong.TRANSITION FROM A DEFLAGRATION TO A DETONATION IN GAS DYNAMIC COMBUSTION[J].Chinese Annals of Mathematics,Series B,2003,24(4):423-432. | |
| Authors: | CHEN Shaozhong LI Jiequan and ZHANG Tong |
| Institution: | 1. Department of Mathematics, Capital Normal University, Beijing 100037, China;Department of Mathematics, Ningbo University, Ningbo 315211, Zhejiang, China 2. Department of Mathematics, Ningbo University, Ningbo 315211, Zhejiang, China 3. Institute of Mathematics, Academy of Mathematics and System Sciences, the Chinese Academy of Sciences, Beijing 100080, China |
| Abstract: | The transition from a deflagration to a detonation (DDT) in gas dynamics is investigated through the process of a deflagration with a imite width flame overtaken by a shock. The problem is formulated as a free boundary value problem in an angular domain with a strong detonation and a reflected shock as boundaries. The main difficulty lies in the fact that the strength of reflected shock is zero at the vertex where the shock speed degenerates to be the same as the characteristic speed. The conclusion is that a strong detonation and a retonation (a reflected shock) form locally. Also the entropy satisfaction of this solution is presented. |
| Keywords: | Gas dynamic combustion Deflagration-to-detonation transition Retonation |
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