Equilibrium profile and rupture of wetting film on heterogeneous substrates

The proposed explanation of the paradox (finite lifetimes in the presence of repulsive surface forces)-that the rupture of these films is caused by nanosized bubbles adhering to the hydrophobic silica surface, is a typical demonstration of the crucial effect of the surface non-homogeneities. The aim of this paper is to analyze the previously proposed model of wetting film with adhered to the solid substrate nanobubble and use the solution to discuss the consistency of the nanobubble rupture mechanism.