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| TRANSITION FROM A DEFLAGRATION TO A DETONATION IN GAS DYNAMIC COMBUSTION |
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Citation： |
CHEN Shaozhong,LI Jiequan,ZHANG Tong.TRANSITION FROM A DEFLAGRATION TO A DETONATION IN GAS DYNAMIC COMBUSTION[J].Chinese Annals of Mathematics B,2003,24(4):423~432 |
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Net amount： 873 |
Authors： |
CHEN Shaozhong; LI Jiequan;ZHANG Tong |
Foundation： |
Project supported by the Program of Key Laboratory of Military Defenses (No.00JS75.1.1.QT1901). |
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| Abstract： |
The transition from a deflagration to a detonation (DDT) in gas dynamics is investigated
through the process of a deflagration with a finite 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 |
Classification： |
35R35, 35L60, 35L65, 35L67, 76N10 |
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