Asymptotic reductions of the diffuse-interface model, with applications to contact lines in fluids

Abstract

The diffuse-interface model (DIM) is a tool for studying interfacial dynamics. In particular, it is used for modeling contact lines, i.e., curves where a liquid, gas, and solid are in simultaneous contact. As well as all other models of contact lines, the DIM implies an additional assumption: that the flow near the liquid/gas interface is isothermal. In this work, this assumption is checked for the four fluids for which all common models of contact lines fail. It is shown that, for two of these fluids (including water), the assumption of isothermality does not hold.

References in corpus (5)

• Shock formation in the collapse of a vapor nano-bubble
• Thermally activated vapor bubble nucleation: the Landau-Lifshitz/Van der Waals approach
• Slip or not slip? A methodical examination of the interface formation model using two-dimensional droplet spreading on a horizontal planar substrate as a prototype system
• Decomposition driven interface evolution for layers of binary mixtures: {II}. Influence of convective transport on linear stability
• Dependence of the surface tension and contact angle on the temperature, as described by the diffuse-interface model

Cited by in corpus (6)

• Capillary condensation of saturated vapor in a corner formed by two intersecting walls
• The multicomponent diffuse-interface model and its application to water/air interfaces
• Dynamics of a drop floating in vapor of the same fluid
• The dynamics of liquid films, as described by the diffuse-interface model
• Nonexistence of two-dimensional sessile drops in the diffuse-interface model
• Nonisothermal evaporation