The mathematical model for numerical analysis of heating and motion of evaporating metal particle injected into plasma jet has been developed as applied to plasma spraying process. Space-time temperature distribution in the particle being sprayed is obtained by solving non-stationary thermal conductivity equation. Convective, conductive and radiative heat exchange, potential and kinetic energy of charged plasma particles as well as heat loss due to particle material vaporization are considered to evaluate the resultant heat transfer from plasma into the particle. The near-surface plasma is assumed non-isothermal and multi-component, i.e. containing atoms and ions of the evaporated material along with plasma gas particles. The method for evaluating near-surface plasma parameters in diffusive and convective evaporation modes is suggested. The detailed numerical analysis of the total heat flow into the aluminum particle and the temperature field along the particle trajectory in argon plasma jet at atmospheric pressure has been carried out.