Asymptotic Theory of Diffusion-Flame Extinction with Radiant Loss from the Flame Zone

Abstract
Laminar diffusion flames in counterfiow configurations such as stagnation-point boundary layers are analyzed by methods of matched asymptotic expansions with large parameters being the temperature sensitivities of the rates of chemical heat generation and radiant heat loss. Formulas are derived defining critical conditions for flame extinction, including influences of radiant loss.