The motion and heat and mass transfer of particles of a disperse admixture in nonisothermal jets of a gas and a low-temperature plasma are simulated with allowance for the migration mechanism of particle motion actuated by the turbophoresis force and the influence of turbulent fluctuations of the jet flow velocity on heat and mass transfer of the particle. The temperature distribution inside the particle at each time step is found by solving the equation of unsteady heat conduction. The laws of scattering of the admixture and the laws of melting and evaporation of an individual particle are studied, depending on the injection velocity and on the method of particle insertion into the jet flow. The calculated results are compared with data obtained with ignored influence of turbulent fluctuations on the motion and heat and mass transfer of the disperse phase.Introduction. Plasma spraying, being an effective method for recovering and hardening of surfaces of elements of various machines and mechanisms, allows coatings to be formed from various materials and ensures a wide range of physical, chemical, and application properties.The motion and heating of particles in the jet, which exert a significant effect on coating formation, have to be studied in detail. The influence of the target on the jet flow is substantial at a distance of several jet diameters from the surface, which involves only minor changes in particle diameters because of their inertia.Rarefied gas-particle flows with no allowance for interaction of particles and their effect on the gas flow are often modeled by the discrete trajectory method of test particles [1]. Depending on the method used to take into account the effect of carrier flow turbulence on particle motion, the deterministic and stochastic versions of the discrete trajectory approach are distinguished [2].In the deterministic approach, the particle location at the initial time completely determines its further evolution. Particle interaction with turbulent moles is ignored, which is valid only for sufficiently inertial particles. For flows with curved streamlines, which involve melting and combustion of particles, the model yields high errors in determining the characteristics of the two-phase flow [1,2].In the stochastic approach, the influence of turbulent fluctuations is taken into account by adding random fluctuations of the carrier flow velocity to the equation of motion of the test particle [2][3][4]. Particle interaction with turbulent moles leads to randomization of particle motion, and the particle location at a given time is determined only by the probability of its residence in one of the possible states at each next time. A large number of test particles have to be calculated to obtain a statistically reliable averaged pattern of particle motion.Application of the stochastic variant of the discrete trajectory approach for calculating nonisothermal jet systems [3,4] offers an explanation for some experimentally observed anomalous phenomena [5,6], such as formation of particle ...