Self-Similar Pressure-Atomized Sprays with Heat and Mass Transfer

In pressure-atomized sprays, the liquid droplets and the gas in the two-phase flow field may exhibit self-similar properties, so that the spray flow as a whole may be described as self-similar. This description is used to model the mass transfer from the droplets to the ambient gas by evaporation of the droplet liquid. The concentration of the vapor phase is described as the solution of the related transport equation in a self-similar form. The self-similar transform of the mass source of vapor representing the effect of droplet evaporation is compared against profiles obtained from the Frössling correlation for the Sherwood number as a function of the Schmidt and Reynolds numbers. The vapor concentration at the droplet surface depends on the droplet temperature, which converges to the wet-bulb temperature determined by the local vapor content of the ambient air and the dry-bulb air temperature. The self-similar structure of the vapor concentration field and the respective vapor source are determined