A diffusional-thermal model for a premixed burner flame is considered. Bifurcations from a stationary planar flame when a double eigenvalue is split into two closely spaced simple eigenvalues are examined. This analysis shows successive bifurcations from the stationary planar flame to a stationary nonplanar axisymmetric flame, then to a stationary nonplanar n-faced polyhedral flame, and finally to a time-periodic (i.e., rotating or standing wave) polyhedral flame.
ASJC Scopus subject areas
- Applied Mathematics