This paper considers theoretical and empirical approaches to the formation of a mathematical model of heating and evaporation of polydisperse water droplets with diameters of 5…100 μm in an air flow with an initial temperature of up to 600 K and a velocity of up to 100 m/s at Weber numbers not exceeding critical values. The developed mathematical model takes into account the change in gas temperature when its initial enthalpy is spent on heating and evaporation of dispersed liquid as well as a decrease in the level of interphase convective heat exchange at the onset of liquid evaporation and the formation of a vapor layer near the droplets. Based on the analysis of the previously obtained experimental database, the values of empirical coefficients for the developed mathematical model were established. In order to validate the mathematical model, a detailed comparison of the calculated data with previously published experiments of the authors' team as well as other researchers was carried out. The presented equations and regularities can be adapted for various modes of heat and mass transfer between dispersed liquids and gases used in power engineering.
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