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.
- Combustion wave dynamics
- Self-propagating high-temperature synthesis
- Solid flames
ASJC Scopus subject areas
- Applied Mathematics