Influence of thermal effects on stability of nanoscale films and filaments on thermally conductive substrates

Abstract

We consider fluid films and filaments of nanoscale thickness on thermally conductive substrates exposed to external heating and discuss the influence of the variation of material parameters with temperature on film stability. Particular focus is on metal films exposed to laser irradiation. Due to the short length scales involved, the absorption of heat in the metal is directly coupled to the film evolution, since the absorption length and the film thickness are comparable. Such a setup requires self-consistent consideration of fluid mechanical and thermal effects. We approach the problem via volume-of-fluid-based simulations that include destabilizing liquid metal–solid substrate interaction potentials. These simulations couple fluid dynamics directly with the spatio-temporal evolution of the temperature field both in the fluid and in the substrate. We focus on the influence of the temperature variation of material parameters, in particular of surface tension and viscosity. Regarding variation of surface tension with temperature, the main finding is that while the Marangoni effect may not play a significant role in the considered setting, the temporal variation of surface tension (modifying normal stress balance) is significant and could lead to complex evolution including oscillatory evolution of the liquid metal-air interface. Temperature variation of film viscosity is also found to be relevant. Therefore, the variations of surface tensions and viscosity could both influence the emerging wavelengths in experiments. By contrast, the filament geometry is found to be much less sensitive to a variation of material parameters with temperature.