Pulsating regimes of flames propagation in a model with chain-branching reaction
Autor: | V. V. Gubernov, A. V. Kolobov, A. A. Polezhaev |
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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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