Non-singular Model for Evaporating Sessile Droplets
Evaporation of liquid droplets on solid substrates is used in many technological processes. Complexity and interdependence of the physical processes inside droplet and their mathematical descriptions, phase transitioning, energy and mass balance, points of singularity and thermocappilar effects force researchers to simplify models and to use numerical methods. We derive solution that has not non-singular heat flux at the droplet edge and describes the vapor concentration out of droplet and temperature at the surface. It allowed us to find out the Marangonni force and calculate non-singular velocity field that can change its direction in the stagnation points.
KeywordsEvaporation Droplets Heat and mass transfer
- 9.Dunin, S.Z., Nagornov, O.V., Starostin, N.V., Trifonenkov, V.P.: Analytical solution for evaporating sessile drops on solid substrates. In: Recent Advances in Applied Mathematics, Modelling and Simulation, pp. 252–255 (2014)Google Scholar