Analytical solution for a single droplet diffusion combustion problem accounting for several chain reaction stages

In the present study we investigate steady-state combustion of a liquid fuel droplet in the atmosphere of oxidizer under the condition of non-equilibrium evaporation from the surface.Utilizing the fact that chemical interactions of fuel with oxidizer involve a chain mechanism or several reaction stages, we transform the Shvab-Zel'dovich method so as to obtain exact analytical solution accounting for the possibility of several chain reactions.The obtained results show that this method is effective for solving the combustion problem and allow to define the values of parameters in gas around the droplet more accurately than the original method having taken into account one brutto-reaction.

► A transformation for Shvab-Zel'dovich method was suggested.
► This method makes it possible to take into account several chain reactions.
► The suggested method was tested for two-reaction model of JP-10 droplet combustion.
► Droplet lifetime for two-reaction model is longer than for one-reaction model.
► Droplet burning rate usually decreases on taking into account two-reaction model.