A diffusional-thermal model for chemically reacting gases is employed to show the existence of a pulsating flame front in a premixed combustible gas governed by a one-step Arrhenius reaction. It is shown that the pulsating front arises as a time-periodic bifurcation from a uniformly propagating plane flame front when the Lewis number L exceeds a critical value L//c. For L greater than L//c, the plane front becomes unstable and perturbations of the system evolve to the pulsating state.
ASJC Scopus subject areas
- Applied Mathematics