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

4 Scopus citations

Abstract

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
Volume18
Issue number8
DOIs
StatePublished - Aug 2005

Funding

FundersFunder number
ASC Flash Center
University of Chicago
Israel Science FoundationRTN-HPRN-CT-2002-00274, 278-03, 67-01
German–Israel Foundation695-15.10.01
Not added0405252
United States-Israel Binational Science Foundation2002-008

    Keywords

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

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