Kinetic modelling of evaporation and condensation phenomena around a spherical droplet

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 nonlinear solutions of the kinetic model is also presented to show the limit of applicability of the linearized approach.

Adaptive technology for constructing the kinetic equations of reduction reactions under conditions of a priori uncertainty

“…It should be noted that the methods of formal kinetics make it possible to obtain a mathematical description of processes not only in isolated or closed, but also in open systems, which, in fact, are the majority of industrial chemical technological systems. Therefore, it is natural to formalize such systems taking into account the internal chemical kinetics and mass transfer, which open up new possibilities in creating a wide range of chemical engineering products: catalysts [7], enriched Chemistry minerals [8], coatings on materials [9], or obtaining new theoretical concepts on the processes for their subsequent implementation in the energy sector [10].…”