An Analytical Approach to Model the Effect of Evaporation on Oscillation Amplitude of Liquid Drops in Gaseous Environment

The combined effect of evaporation and oscillation of liquid drops in gaseous stagnant environment is analytically modelled. Mechanical energy and mass balances are used to derive the time evolution of drop size and amplitude of oscillation. Two approaches, based on different assumptions about the kinetic energy distribution inside the drop, are used to evaluate the energy loss due to evaporation. Conditions for oscillation damping by evaporation are derived. Application of the model to the case of water, acetone and n-dodecane drops evaporating in hot air shows a non neglectful decrease of drop lifetime, with respect to non-oscillating drops.