Diffusively anisotropic model for the deflagration-to-detonation transition

Leonid Kagan*, Gregory Sivashinsky

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


To elucidate the key mechanisms responsible for the transition from deflagrative to detonative combustion in smooth-walled channels, a reactive flow with anisotropic thermal and molecular diffusivities is considered. Setting the transverse diffusivities large compared to longitudinal diffusivities, the initially formed deflagration (despite no-slip boundary conditions) appears to be nearly planar and not accelerating. This, however, does not prevent its eventual abrupt transition to Chapman-Jouguet detonation.

Original languageEnglish
Pages (from-to)261-271
Number of pages11
JournalCombustion Theory and Modelling
Issue number2
StatePublished - Mar 2014


FundersFunder number
US–Israel Binational Science Foundation2012-057
Israel Science Foundation335/13


    • Fanno's model
    • combustion in hydraulically resisted flows
    • deflagration-to-detonation transition
    • transitions in narrow gaps and capillaries


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