Abstract
The authors derive a general equation for the evolution of flame fronts in weakly nonuniform flows. The equation is restricted to a particular range of Lewis numbers and describes the transition to cellular structures. This transition is analyzed for an expanding curved flame. Linear stability reveals that cells may appear at a larger radius than for the nonexpanding case. A nonlinear analysis describing the transition for slowly varying flames is also presented.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 734-744 |
| Number of pages | 11 |
| Journal | SIAM Journal on Applied Mathematics |
| Volume | 44 |
| Issue number | 4 |
| DOIs | |
| State | Published - 1984 |
| Externally published | Yes |
ASJC Scopus subject areas
- Applied Mathematics