Features of the Thermophoretic Motion of a Large Evaporating Droplet in a Binary Gas Mixture at Small Relative Temperature Differences

Abstract

The effect of heat and mass transfer on thermophoresis of a large evaporating spherical droplet in a binary gas mixture is considered in the quasi-stationary approximation for small Stokes numbers, thermal and diffusion Peclet numbers. The velocity-linearized system of Navier-Stokes equations describing the velocity and pressure fields outside and inside the evaporating droplet, the convective heat transfer equation and the diffusion equation were solved using the perturbation theory method. The relative temperature difference on the particle size was used as a small parameter. Analytical expressions have been obtained for the strength and velocity of thermophoresis at small relative temperature differences in its vicinity, and qualitative estimates of the effect of heat and mass transfer on the thermophoresis rate of large evaporating droplets have been carried out.