Abstract

The three-dimensional dynamics of droplets on inclined and vertical walls in a gravity field is simulated. The dependence of a contact angle on a velocity of contact line is obtained for slow regime and smooth surface. The simulations of a rupture of the liquid films on the nonwettable solid substrate due to the thermocapillary effect (Marangoni effect) are also carried out. The lattice Boltzmann method is successfully implemented for computer simulation of these three-dimensional problems.

Highlights

  • The understanding of the behaviour of thin liquid films and droplets placed on the surface of solid substrates is very important for modern technologies

  • A static contact angle is closely related with forces of interaction of molecules of fluid and a solid substrate

  • The contact angle depends on a local curvature radius of the contact line

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Summary

Introduction

The understanding of the behaviour of thin liquid films and droplets placed on the surface of solid substrates is very important for modern technologies. A static contact angle is closely related with forces of interaction of molecules of fluid and a solid substrate. A large number of experiments showed that for motion of contact line along the horizontal solid substrate, the advancing contact angle is greater than the receding angle (hysteresis). The viscous flow of fluid with surface tension of liquid and the interaction of a liquid with a solid wall should be described in computer simulations. The most important problem is the interaction forces between fluid and solid at the interface. This phenomenon can be described better using the mesoscopic methods that are closer to the nature of such interaction than macroscopic approaches

The lattice Boltzmann method
Droplets moving on solid surface
Dynamic contact angles
A rupture of the thin liquid films
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