On thermodynamics of fluid interfaces

A recently introduced method for the derivation of thermodynamically consistent boundary conditions will be used in order to study the interaction of two fluids at the common interface and the contact line to a solid body. The calculations allow for temperature dependent surface energy/surface tension and yield thermodynamical conditions on dynamic contact angles. Furthermore, we will show how mean curvature flow and Mullins–Sekerka models fit into this general framework and give a possible explanation for the Dussan and Davis experiment (Dussan and Davis, 1974) compared to the Huh and Scriven paradox (Huh and Scriven, 1971) within the presented theory.