Fast subsonic combustion as a free-interface problem

Peter V. Gordon, Leonid S. Kagan, Gregory I. Sivashinsky*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

16 Scopus citations


The paper is concerned with the recently identified fast, yet subsonic, combustion waves occurring in obstacle-laden (e.g. porous) systems and driven not by thermal diffusivity but rather by the draginduced diffusion of pressure. In the framework of a quasi-one-dimensional formulation where the impact of obstacles is accounted for through a frictional drag term, an asymptotic expression for the wave propagation velocity D is derived. The propagation velocity is controlled by the temperature (T+) at the entrance to the reaction zone rather than at its exit (Tb) as occurs in deflagrative combustion. The evaluated D(T+) dependence allows description of the subsonic detonation in terms of a free-interface problem. The latter is found to be dynamically akin to the problem of gasless combustion known for its rich pattern-forming dynamics.

Original languageEnglish
Pages (from-to)47-62
Number of pages16
JournalInterfaces and Free Boundaries
Issue number1
StatePublished - 2003


FundersFunder number
German-Israel FoundationRTN-HPRN-CT-2002-00274, 695-15.10.01
U.S.-Israel Binational Science Foundation98-00374
Israel Science Foundation574-00, 67-01


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