Abstract.A numerical investigation of heat and mass transfer processes at the heating of combustible liquid was carried out at the interaction of hot small-size steel particle with gasoline. Developed mathematical model considers at two-dimensional statement thermal conduction, thermal convection, transfer of energy by phase change (evaporation of liquid fuel and crystallization of particle material), partial immersion of hot particle in liquid fuel, forming of vapor gap between hot particle and liquid fuel, diffusion of fuel vapors in oxidizer, dependence of thermophysical characteristics of interactive substances on temperature. It was established that the highest rates of heat and mass transfer processes in a system "hot particle -gasoline -air" are possible at temperature of hot particle higher than melting temperature of it material due to the additional heat released at the crystallization of material.