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Mathematical model for the ignition of a mixture of a liquid fuel and solid particles in air

A. V. Fedorov, V. M. Fomin, S. I. Volkov

Institute of Theoretical and Applied Mechanics, Siberian Division, Russian Academy of Sciences, Novosibirsk 630090

Abstract: A point mathematical model is developed, which describes the ignition in air of composite mixtures of the fine aluminum particles and drops of a hydrocarbon fuel and a gaseous oxidizer. The generalized overall reaction of combustion of hydrocarbon vapors, the difference in temperature between the components, and the build-up of an oxide film on a metallic particle are taken into account. In the particular case of a mixture containing drops of a hydrocarbon fuel, the model is adapted to the experimental data on the dependence of the ignition delay on the ambient temperature. In the case of a composite mixture containing both solid particles and drops, the induction time of “thermal explosion” with oxidizer excess depends to a greater extent on the concentration and sizes of fuel drops than on the amount of aluminum particles.

UDC: 662.612.32

Received: 09.01.1997

 English version: Combustion, Explosion and Shock Waves, 1997, 33:3, 315–322