A model for an edge-cooled flat flame burner is used to obtain expressions for the flame speed, flame temperature, standoff distance as well as the quenching distance for a plane flame front. For a given standoff distance there is a low-temperature as well as a high-temperature solution. It is shown by a linear stability analysis of the plane front that the high-temperature solution is unstable when the Lewis number is sufficiently large and the inflow velocity sufficiently less than the adiabatic flame speed. It is also shown that this instability is the type that will lead to a bifurcating time-periodic solution describing a pulsating flame.
ASJC Scopus subject areas
- Applied Mathematics