The transition from deflagration to detonation in thin channels

L. Kagan, G. Sivashinsky*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

110 Scopus citations


A numerical study of a two-dimensional model for premixed gas combustion in a thin, semi-infinite and thermally-insulated channel is performed. The work is motivated by recent theoretical advances revealing the important role of hydraulic resistance in deflagration-to-detonation transition, one of the central yet still poorly understood phenomena of gaseous combustion. The two-dimensional formulation reproduces the formation of the so-called tulip flame and its predetonational acceleration, well-known experimentally but unattainable within the quasi-one-dimensional approach employed previously. It is shown that the detonation first develops in the boundary layer where the effect of hydraulic resistance is stronger, and thereupon spreads over the channel's interior. However, the second stage of the transition does not proceed gradually but rather through a localized auto-ignition within the tulip.

Original languageEnglish
Pages (from-to)389-397
Number of pages9
JournalCombustion and Flame
Issue number4
StatePublished - 1 Sep 2003


FundersFunder number
European Community ProgramRTN-HPRN-CT-2002-00274
German-Israel Foundation695-15.10.01
Sackler Foundation for Scientific Computing
US-Israel Binational Science Foundation98-00374
Israel Science Foundation574-00, 67-01


    • Deflagration
    • Deflagration-to-detonation transition
    • Detonation


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