A numerical analysis for the transient combustion of a single fuel droplet with finite rate of chemical reaction has been performed under the assumptions of spherical symmetry and constant transport properties. Evaporation curves and transient variation of the flame location, temperature profiles, and the ratio of flame to droplet radius were obtained in detail. Moreover, the effects of finiteness of chemical reaction were revealed. It was found that there exists a critical droplet diameter beneath which no stable combustion can be realized. The present results support those of earlier analytical works of Waldman, which were obtained by virtue of an asymptotic expansion method.
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Saitoh et al. (1980) studied this question.
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