PROPAGATION OF A PULSATING FLAME FRONT IN A GASEOUS COMBUSTIBLE MIXTURE.

Bernard J. Matkowsky; David O. Olagunju

doi:10.1137/0139025

PROPAGATION OF A PULSATING FLAME FRONT IN A GASEOUS COMBUSTIBLE MIXTURE.

Bernard J. Matkowsky^*, David O. Olagunju

^*Corresponding author for this work

Engineering Sciences and Applied Mathematics

Research output: Contribution to journal › Article › peer-review

43 Scopus citations

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)
Pages (from-to)	290-300
Number of pages	11
Journal	SIAM Journal on Applied Mathematics
Volume	39
Issue number	2
DOIs	https://doi.org/10.1137/0139025
State	Published - Jan 1 1980

ASJC Scopus subject areas

Applied Mathematics

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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.",

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N2 - 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.

AB - 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.

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PROPAGATION OF A PULSATING FLAME FRONT IN A GASEOUS COMBUSTIBLE MIXTURE.

Abstract

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