Parametric transition from deflagration to detonation: Runaway of fast flames

Leonid Kagan*, Gregory Sivashinsky

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

29 Scopus citations


The paper is concerned with identification of the key interactions controlling deflagration-to-detonation transition in confined and unconfined gaseous systems. The issue of thermal runaway triggered by positive feedback between the advancing flame and the flame-driven precursor shock is revisited. Predictions of the asymptotic analysis based on small Mach number approximation are validated by numerical simulations of the pertinent dynamical model. The linkage between the thermal runaway and deflagration-to-detonation transition is substantiated. A possible way to model transition to detonation of an expanding wrinkled flame is discussed.

Original languageEnglish
Pages (from-to)2709-2715
Number of pages7
JournalProceedings of the Combustion Institute
Issue number2
StatePublished - 2017


FundersFunder number
United States-Israel Binational Science Foundation2012-057
Israel Science Foundation335/13


    • Deflagration-to-detonation transition
    • Stepwise ignition-temperature kinetics
    • Thermal runaway in flames


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