High temperature extinction of premixed flames

Abstract

The far field of a stretched premixed flame with A→B⇄C kinetics is studied. Each of the reaction rates are assumed to be proportional to the mass fraction of the reactants and have a temperature dependence that is continuous, positive, and vanishes at both infinite and zero absolute temperature. Arrhenius reaction rate functions are examples that satisfy these requirements. Bounds are uncovered for the amount of blowing from behind the flame that plane premixed flames can withstand for all Lewis numbers when the intermediate species are lighter than the deficient reactant. When the intermediate products are heavier than the deficient reactant, bounds on the blowing are found when the Lewis number of the deficient reactant is less than one.