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Theoretical Analysis on Deflagration-to-Detonation Transition
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 (C-J) 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 conation is
reached, a C-J detonation is triggered immediately. This is the quantitative
criteria of the DDT process
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