Рulsating regimes of flame propagation in a model with chain-branching reaction
Gubernov, V. V., Kolobov, A. V., Polezhaev, A. A.
Компьютерные исследования и моделирование Ижевск: Научно-издательский центр "Регулярная и хаотическая динамика", 2009 (in press). Vol. 1 (3). (accepted)
In this paper we investigate the propagation of planar combustion waves in an adiabatic model with two-step chain branching reaction mechanism. Pulsating instabilities are found to emerge for the Lewis number for fuel greater than one due to the 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 increase of the bifurcation parameter leads to the period doubling bifurcation cascade and a chaotic regime of combustion wave propagation. The chaotic wave extinguishes when the bifurcation parameter becomes sufficiently large.
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