We present three models of heat and mass transfer in the presence of heating, boiling, evaporation and "explosive" destruction of heterogeneous water droplet with solid carbon inclusion in high-temperature gases (Tf > 600 K) with the account and without reference to vapor buffer layer formation at an internal interface solid inclusion - liquid, as well as the model foreseeing incomplete cover of solid inclusion by liquid film. Characteristic distributions of heterogeneous droplet temperature in the presence of these three models are presented. It is illustrated that the heat-up of heterogeneous droplet is more intensive in the case of vapor buffer layer at internal boundary and energy supply to interface through the inclusion and liquid (at the incomplete cover of solid inclusion by liquid film). The extreme conditions of the inception of effect of heterogeneous droplet "explosive" destruction are formulated for conditions of heat and mass exchange foreseeing each of three models. It is shown that heat transfer at warming and the evaporation of a heterogeneous liquid droplet in high-temperature gases is more intensive in the presence of incomplete cover of solid inclusion by liquid film (minimum values of characteristic periods from the beginning of heat to realization of conditions of heterogeneous droplet "explosive" destruction xh correspond to the results of the model appliance). Developed models and the results of numerical investigations of heat transfer and phase transformations in heterogeneous liquid droplets in the presence of warming in high-temperature gases can be used in technologies of polydisperse firefighting, thermal cleaning, formation of two-phase gas-vapor heat carrier and others.