Abstract
Detailed analysis of diffusion flames involves the solution of a non-linear differential system. However, by approximating the reaction rate term in the thermodynamic equations by a Dirac delta function, the differential system becomes linear. Hence, the dependence of the flame temperature upon the Damkohler number is investigated. Comparison of the results of the analysis with some observations of flames in the forward stagnation region of a porous cylinder by Tsuji and Yamaoka suggests that a criterion for flame extinction is simply that the flame temperature is less than some critical value. When the analysis is extended to model the flame on the upstream face of a burning droplet of fuel, it is found that the extinction criterion must he modified if the reaction involves a high activation energy.
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