Parametric transition from deflagration to detonation revisited: Planar geometry

Peter V. Gordon, Leonid Kagan*, Gregory Sivashinsky

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

12 Scopus citations


The paper is concerned with identification of the key mechanisms 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. A new mechanism for parametric transition based on the flame-speed sensitivity to pressure changes is discussed. Depending on the parameters of the system the transition may occur either within the subsonic, sonic or supersonic range of deflagrations. In the latter case the deflagration obeys the classical Chapman–Jouguet (CJ) condition. In a certain parameter range the adopted model reproduces the experimentally known situation where the transition occurs close to the sonic point.

Original languageEnglish
Pages (from-to)465-476
Number of pages12
JournalCombustion and Flame
StatePublished - Jan 2020


FundersFunder number
Simons Foundation317 882
United States-Israel Binational Science Foundation2012-057
Israel Science Foundation335/13


    • Deflagration to detonation transition
    • Parametric transition
    • Planar geometry


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