Chemical Kinetics Effects on the Ignition of a Fuel Droplet

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Abstract
The influence of one-step reaction orders on the ignition conditions of a single fuel droplet in an oxidizing medium is examined using large activation energy asymptotics. The analysis of Law has been extended to the reaction schemes with nonlinear dependence on the reactants concentrations. The lower branch of the characteristic S-shaped curve corresponding to a nearly frozen ignition regime is produced for non-unity reaction orders. Critical Damköhler numbers for ignition are obtained. A comparison between critical Damköhler numbers for the linear dependence of the reaction rate on the fuel and oxidizer concentrations obtained by Law and for the non-linear dependence, obtained in the present study, is made. The results of the present study are employed to determine the ignition lag of a fuel droplet in a hot oxidizing environment. The theoretical predictions of the ignition lag show good agreement with existing experimental data.

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