Dynamics in layer models of solid flame propagation

A. P. Aldushin*, A. Bayliss, B. J. Matkowsky

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


The solid flame propagation dynamics in a 2D region was analyzed by considering the region to be composed of parallel, identical layers aligned along the direction of propagation and having thermal contact. Each layer is described by wave propagation in 1D, with the transverse Laplacian replaced by a term describing heat exchange between neighboring layers. Depending on parameter values, three steady-state dynamical behaviors were observed: waves in each layer pulsate in phase as they propagate; waves in each layer were no longer identical, and antiphase pulsations occur; and there was a bistability region between the in-phase and antiphase waves. There was a qualitative similarity in the behavior of combustion waves in the layer model and in the 2D m.

Original languageEnglish (US)
Pages (from-to)109-137
Number of pages29
JournalPhysica D: Nonlinear Phenomena
Issue number1
StatePublished - Sep 1 2000

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Applied Mathematics


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