Propagation of a pulsating flame front in a gaseous combustible mixture

Journal Article · Wed Oct 01 00:00:00 EDT 1980 · SIAM J. Appl. Math.; (United States)

DOI:https://doi.org/10.1137/0139025· OSTI ID:5689153

Matkowsky, B J; Olagunju, D O

A diffusional-thermal model derived by Matkowsky and Sivashinsky (1978) for chemically reacting gases is used 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.

• Research Organization: Northwestern University, Evanston, Ill.
• OSTI ID: 5689153
• Journal Information: SIAM J. Appl. Math.; (United States), Journal Name: SIAM J. Appl. Math.; (United States) Vol. 39; ISSN SMJMA
• Country of Publication: United States
• Language: English

Related Subjects

37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY
400800* -- Combustion
Pyrolysis
& High-Temperature Chemistry
CHEMICAL REACTIONS
COMBUSTION
FLAME PROPAGATION
FLAMES
FLUID FLOW
FLUIDS
GASES
MATHEMATICAL MODELS
OXIDATION
THERMOCHEMICAL PROCESSES
UNSTEADY FLOW
VELOCITY