Pulsating regimes of flames propagation in a model with chain-branching reaction

Autor: V. V. Gubernov, A. V. Kolobov, A. A. Polezhaev
Jazyk: ruština
Rok vydání: 2009
Předmět:
Zdroj: Компьютерные исследования и моделирование, Vol 1, Iss 3, Pp 273-280 (2009)
Druh dokumentu: article
ISSN: 2076-7633
2077-6853
DOI: 10.20537/2076-7633-2009-1-3-273-280
Popis: In this paper we investigate propagation of planar combustion waves in an adiabatic model with two-step chain branching reaction mechanism. Pulsating instabilities are found to emerge for fuel Lewis number greater than one due to a Hopf bifurcation. The Hopf bifurcation is demonstrated to be of a supercritical nature and it gives rise to periodic pulsating combustion waves as the neutral stability boundary is crossed. Further in-crease of the bifurcation parameter initiates period doubling bifurcation cascade and leads to chaotic regime of combustion wave propagation. The chaotic wave extinguishes when the bifurcation parameter becomes sufficiently large.
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