Abstract
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.
Original language | English (US) |
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Pages (from-to) | 290-300 |
Number of pages | 11 |
Journal | SIAM Journal on Applied Mathematics |
Volume | 39 |
Issue number | 2 |
DOIs | |
State | Published - Jan 1 1980 |
ASJC Scopus subject areas
- Applied Mathematics