Kinetic modelling of evaporation and condensation phenomena around a spherical droplet. (February 2021)

• Record Type: Journal Article
• Authors: Leite, Vinícius Braga; Kalempa, Denize; Graur, Irina
• Is Part Of: International journal of heat and mass transfer. Volume 166(2021)
• Publication Date: 2021-02
• Subjects: Heat -- Transmission -- Periodicals; Mass transfer -- Periodicals; Chaleur -- Transmission -- Périodiques; Transfert de masse -- Périodiques; Electronic journals; 621.4022
• DOI: 10.1016/j.ijheatmasstransfer.2020.120719
• Languages: English
• ISSNs: 0017-9310

Abstract

Highlights: Numerical solution of a linearized and non-linear kinetic model to the Boltzmann equation. Calculation of the non-equilibrium macroscopic characteristics of the gas flow around a droplet of the vapor condensed phase. Analysis of the influence of the evaporation-condensation coefficient on the solution of the problem. Pressure and temperature jump boundary conditions. Abstract: 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 non-linear solutions of the kinetic model is also presented to show the limit of applicability of the linearized approach.