Kinetic modelling of evaporation and condensation phenomena around a spherical droplet

Vinícius Braga Leite (1) , Denize Kalempa (1) , Irina Martin Graur (2, 3)

1 USP - Universidade de São Paulo = University of São Paulo
2 AMU - Aix Marseille Université
3 IUSTI - Institut universitaire des systèmes thermiques industriels

The steady evaporation and condensation phenomena around a spherical droplet of the condensed phase of a vapor are investigated with basis on a kinetic model to the linearized Boltzmann equation. The kinetic equation is solved via a discrete velocity method which takes into account the discontinuity of the distribution function of molecular velocities on the spherical interface. The calculations are carried out in a wide range of the gas rarefaction and evaporation-condensation coefficient. The results obtained via solution of the linearized Navier-Stokes equations with temperature and pressure jump boundary conditions are also presented and compared to those obtained via kinetic equation. A comparison between the linearized and nonlinear solutions of the kinetic model is also presented to show the limit of applicability of the linearized approach.

Domaines: Physique [physics]

Vinícius Braga Leite, Denize Kalempa, Irina Martin Graur. Kinetic modelling of evaporation and condensation phenomena around a spherical droplet. International Journal of Heat and Mass Transfer, 2020, pp.120719. ⟨10.1016/j.ijheatmasstransfer.2020.120719⟩. ⟨hal-03103092⟩