Marangoni convection in an evaporating droplet: Analytical and numerical descriptions
arXiv:1308.0342 · doi:10.1016/j.ijheatmasstransfer.2016.06.042
Abstract
The stationary single vortex Marangoni convection in an axially symmetrical sessile drop of capillary size is considered. The detailed description of the fluid flows is presented for a wide range of contact angles, which takes into account the boundary conditions and the mass balance equation, without explicitly solving the Navier--Stokes equations. The analytical approach developed is compared with the results of numerical simulations and demonstrated to describe reasonably well the single-vortex Marangoni flows. This indicates the substantial role of the boundary conditions in the problem.
15 pages, 6 figures, 4 tables
References in corpus (6)
- How water droplets evaporate on a superhydrophobic substrate
- Evaporation and fluid dynamics of a sessile drop of capillary size
- Capillary flow in an evaporating sessile drop
- Moving contact lines in a pure-vapor atmosphere: a singularity-free description in the sole framework of classical physics
- Analytical solution for inviscid flow inside an evaporating sessile drop
- Dependence of fluid flows in an evaporating sessile droplet on the characteristics of the substrate