Analytical prediction of the temperature and the lifetime of an evaporating spherical droplet

M. Corpart (1) , F. Restagno (1) , François Boulogne (1)

1 LPS - Laboratoire de Physique des Solides

In this paper, we propose to predict analytically the temperature of an evaporating spherical droplet. To doso, we first review, from data in the literature, the effect of temperature on the physical parameters involvedin cooling-induced evaporation, namely the saturating vapor pressure, the diffusion coefficient of vapor inair, the liquid density, the enthalpy of vaporization and the thermal conductivity of air. These data support aseries of approximations that allows us to derive an implicit equation for the liquid temperature. We proposea quadratic approximation of the variation of the saturating vapor concentration with temperature to obtainan explicit prediction of the drop temperature. As a result, an analytical prediction of the droplet lifetimeincluding the cooling effect is proposed.

Domaines: Chimie-Physique [physics.chem-ph]; Thermique [physics.class-ph]

M. Corpart, F. Restagno, François Boulogne. Analytical prediction of the temperature and the lifetime of an evaporating spherical droplet. Colloids and Surfaces A: Physicochemical and Engineering Aspects, 2023, 675, pp.132059. ⟨10.1016/j.colsurfa.2023.132059⟩. ⟨hal-04190053⟩