Theoretical analysis on deflagration-to-detonation transition

doi:10.1088/1674-1056/27/8/084703

Abstract The study on deflagration-to-detonation transition (DDT) is very important because this mechanism has relevance to safety issues in industries, where combustible premixed gases are in general use. However, the quantitative prediction of DDT is one of the major unsolved problems in combustion and detonation theory to date. In this paper, the DDT process is studied theoretically and the critical condition is given by a concise theoretical expression. The results show that a deflagration wave propagating with about 60% Chapman-Jouguet (CJ) detonation velocity is a critical condition. This velocity is the maximum propagating velocity of a deflagration wave and almost equal to the sound speed of combustion products. When this critical condition is reached, a CJ detonation is triggered immediately. This is the quantitative criteria of the DDT process.

Keywords: deflagration detonation deflagration-to-detonation transition

Received: 26 December 2017
Revised: 29 March 2018
Accepted manuscript online:

PACS:	47.70.Pq	(Flames; combustion)
	47.40.Rs	(Detonation waves)
	82.33.Vx	(Reactions in flames, combustion, and explosions)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11672312 and 11532014).

Corresponding Authors: Yun-Feng Liu
E-mail: liuyunfeng@imech.ac.cn

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Yun-Feng Liu(刘云峰), Huan Shen(沈欢), De-Liang Zhang(张德良), Zong-Lin Jiang(姜宗林) Theoretical analysis on deflagration-to-detonation transition 2018 Chin. Phys. B 27 084703

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