Abstract
Propagation of two flame fronts in a mixture of gases in adjacent channels with oppositely moving gas flows is described within the framework of a one-dimensional model. Stationary solutions of the problem are constructed, and their stability to small perturbations is examined. The ranges of problem parameters (level of heat losses, composition of the mixture, gas-flow velocity, etc.) that allow flame stabilization are found. Conditions for flame oscillations are identified. It is shown that extremely lean mixtures of gases can burn in such a system, even if the channel diameters are smaller than the critical value corresponding to the initial temperature.
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