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Nonlinear dynamics of flame in a narrow channel with a temperature gradient

The non-stationary behaviour of near-limit premixed flame propagating in a microchannel with temperature gradient was theoretically investigated. A one-dimensional (1D) nonlinear evolutionary equation of the flame front was obtained. The nonlinear model outlined the flame stabilization, nonlinear flame oscillations and flames with repetitive extinction and ignition processes that were observed in experiments.