Modeling of the droplet surface dried on a solid substrate

Abstract

The paper presents an approach to modeling the surface of a liquid droplet lying on a solid substrate. Receiving the real shape of the droplet surface plays an important role in modeling the process of drying droplets of liquid dispersed systems on solid diffusion-impermeable substrates. This relates to the strong influence of the characteristics of the droplet surface on the values of the coefficients of heat and mass transfer and the value of the surface area of evaporation. A description of the experimental setup for determining the characteristic parameters of the droplet surface is presented. The formulation and solution to the problem of mathematical modeling of the shape of the droplet’s surface, depending on the wetting angle of the liquid-substrate system, surface tension and droplet parameters, are given. The incorrectness of the assumption about the shape of a droplet as an element of a sphere segment is shown. Some results of visualization of the surface of a droplet for various wettability conditions are presented.