Microexplosion model of hydrocarbon–water composite droplets: an accurate solution

The paper presents an analytical solution to the problem of temperature dynamics inside a composite spherical droplet consisting of a water microdroplet located in the center of a liquid hydrocarbon droplet around which hot gas flows. To the hydrocarbon–water boundary the coupling conditions are imposed, while for the outer boundary the condition of heat exchange with hot gas is defined. The unsteady temperature of the composite droplet is represented by the eigenfunctions expansion of the Sturm–Liouville problem. The results of calculations via the obtained analytical formula agree satisfactorily with experimental data.