Transverse instability of non-adiabatic flames

The lateral stability of a planar laminar premixed flame, with a one-step exothermic reaction and linear heat loss in 2D geometry, is studied. The corresponding travelling wave equations are solved numerically, and the stability to lateral perturbations of any resulting flames is investigated. The dispersion curves are computed numerically for different values of the Lewis number and the heat loss parameter. In the parameter plane of these two parameters the bifurcation curve is determined where the transverse instability of the planar flame occurs.