On metastable deflagration in porous medium combustion

Nicholas M. Bessonov, Peter V. Gordon*, Gregory I. Sivashinsky, Ann Zinoviev

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


A regime of low velocity deflagration in hydraulically resisted flows such as those occurring in porous beds is discussed. An asymptotic expression for the deflagration velocity is derived. The obtained dependency elucidates the mechanism controlling the gradual enhancement of the propagation velocity prior to the abrupt transition from slow to fast combustion. This enhancement is caused by the drag-induced diffusion of pressure ahead of the advancing front. The time of transition from the slow to fast propagation is estimated.

Original languageEnglish
Pages (from-to)897-903
Number of pages7
JournalApplied Mathematics Letters
Issue number8
StatePublished - Aug 2005


FundersFunder number
ASC Flash Center
German–Israel Foundation695-15.10.01
National Science FoundationDMS-0405252
Directorate for Mathematical and Physical Sciences0405252
University of Chicago
United States-Israel Binational Science Foundation2002-008
Israel Science FoundationRTN-HPRN-CT-2002-00274, 278-03, 67-01


    • Asymptotic analysis
    • Combustion fronts
    • Deflagration-to-detonation transition


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