Dynamics in a rod model of solid flame waves

J. H. Park; A. Bayliss; B. J. Matkowsky

doi:10.1137/040603784

Dynamics in a rod model of solid flame waves

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

^*Corresponding author for this work

Engineering Sciences and Applied Mathematics

Research output: Contribution to journal › Article › peer-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 language	English (US)
Pages (from-to)	521-549
Number of pages	29
Journal	SIAM Journal on Applied Mathematics
Volume	65
Issue number	2
DOIs	https://doi.org/10.1137/040603784
State	Published - Jun 13 2005

Keywords

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

ASJC Scopus subject areas

Applied Mathematics

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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.",

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AU - Park, J. H.

AU - Bayliss, A.

AU - Matkowsky, B. J.

PY - 2005/6/13

Y1 - 2005/6/13

N2 - 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.

AB - 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.

KW - Combustion wave dynamics

KW - Self-propagating high-temperature synthesis

KW - Solid flames

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