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.
ASJC Scopus subject areas
- Applied Mathematics