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[References: 86 tit.]

A physical and mathematical model of the movement of a liquid droplet in a high-temperature air flow has been formulated with regard for the main factors of this movement: the inertia of the droplet, its viscous friction, the surface tension of the liquid in it, the air drag, the gravity, lift, and Magnus forces acting on the droplet, its turbophoresis and thermophoresis, the convective heat flows inside the droplet, the turbulence and compressibility of the carrying medium, the concentration of the dispersed phase in it, the nonstationarity of the movement of the droplet, its phase transformations, the collisions of the droplet with the neighboring liquid droplets in the gas flow, the partial fragmentation of the droplet, and its breakdown. Numerical and experimental investigations of the influence of the indicated factors on the velocity of movement, the heating, and the intensity of evaporation of a liquid droplet in a high-temperature gas medium have been performed. The results of these investigations were generalized for determining the possible applications of the model developed.