Abstract
The asymptotic structure of a steady counterflow, premixed flame is analyzed in the limit of a large ratio of the activation energy to the thermal energy in the flame for the overall combustion process. The governing conservation equations are similar to those for the counterflow diffusion flame analyzed previously by Liñán. The Damkohler number, defined as the ratio of a characteristic diffusion time to a characteristic chemical time is a parameter in this analysis. The characteristic S curve emerges when the maximum flame temperature is plotted as a function of the Damkohler number. Segments of this curve represent a nearly frozen ignition regime, an unstable partial burning regime, and a near equilibrium regime. The structure of these regimes are analyzed in detail. Critical conditions for ignition and extinction of a premixed flame are also given.
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