Lattice Boltmann Simulation of Flows in a Liquid Droplet on a Solid Surface With a Heat Flux

We study the flows arising in a liquid droplet placed on a heated solid surface. The flow arises due to simultaneous action of a nonuniform evaporation at the droplet surface and the Marangoni effect. Calculations are carried out with the lattice Boltzmann method taking into account the conductive and convective heat fluxes, the evaporation and the condensation, and the temperature dependence of the surface tension. We obtain the pictures of vortical liquid flow inside a droplet. We find that the contact angle can change due to the forces which arise during evaporation or condensation near the contact line. The influence of the droplet shape (which depends on the contact angle) on the possibility of the arising of vortical flows inside the droplet is shown.