Dynamics in a rod model of solid flame waves

J. H. Park*, A. Bayliss, B. J. Matkowsky

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

The dynamics in a rod model of solid flame waves was discussed. An array of interacting one-dimensional (1D) rods connected via heat transfer was used where the heat transfer terms corresponded to a discretization of the transverse Laplacian. A rod model was also used consisting of an outer ring of three rods equally spaced along the ring and with an axial rod. The equivalence of the dispersion relation between the model and the full 3D problem suggested that 1-headed spin and radial-type behavior was reproduced at least qualitatively by the model.

Original languageEnglish (US)
Pages (from-to)521-549
Number of pages29
JournalSIAM Journal on Applied Mathematics
Volume65
Issue number2
DOIs
StatePublished - Jun 13 2005

Keywords

  • Combustion wave dynamics
  • Self-propagating high-temperature synthesis
  • Solid flames

ASJC Scopus subject areas

  • Applied Mathematics

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