Induction period of a two-component aerosol of liquid oxidizer and propellant

The problem of self-ignition of a two-component aerosol consisting of uniformly mixed drops of an oxidizer and a propellant reacting in the gas phase is considered. The process of self-ignition of such an aerosol is divided into two stages: vaporization of aerosol components and subsequent chemical heating of the mixture. An approximate analytical formula is derived, for the period of self-ignition of a two-component aerosol. This formula takes into account the differences in thermophysical characteristics of aerosol liquids, mass concentrations, sizes of the drops of aerosol components, and the difference between the initial temperature of these drops and the initial temperature of the gas phase. The calculation results for the self-ignition period obtained using this analytical formula and the results of numerical solution of the problem in the zero-dimensional formulation coincide within 20% in a wide range of the governing parameters of the problem.