Abstract
A laminar premixed flame model is considered in which there is a second-order branching reaction coupled with an endothermic decay of a chemical inhibitor. An analysis, based on high activation energies for the reactions, is performed and two distinct cases are found. These depend on dimensionless parameters representing the loss of heat relative to its production, α, and the consumption of inhibitor relative to that of fuel, β. With α∼β⋘1, extinction is achieved through a saddle-node bifurcation at a critical value of α. For α⋘β, no extinction is found though considerable reductions in wave speed over the adiabatic limit are seen. The asymptotic results are compared with numerical simulations of an initial-value problem for the model.
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