Numerical solution of the problem of ignition of a combustible liquid by a single hot particle

The problem of ignition of a typical combustible liquid by a single metal particle heated to high temperatures is solved numerically using a gas-phase model of ignition taking into account thermal conductivity, liquid vaporization, diffusion and convection of fuel vapor in air, crystallization of the particle, formation of a vapor gap between the particle and liquid, temperature dependence of the thermal characteristics of interacting substances, and air humidity. The scales of the effects of the initial temperature and particle size and shape on the delay of the examined process are determined. The limiting values for ignition initiation are found for the characteristic parameters of the ignition source (initial temperature and size) and air humidity.