An analytical study of the stability of a laminar diffusion flame

The transient state of a simplified model of a one-dimensional diffusion flame is considered. The governing equations which take into account diffusion, heat conduction, heat losses and finite-rate chemical kinetics are treated numerically (1) to obtain steady-state solutions, (2) to investigate stability with respect to small disturbances and (3) to obtain complete transient solutions. It is shown that steady burning states, which have...