Contact line motion on heated surfaces with spatially non-uniform properties

Modeling of evaporation near contact lines is important for a number of applications such as pool boiling and micro heat pipes. Recent data from Constrained Vapor Bubble heat pipe experiment in microgravity provided new insights into physics of evaporation and flow near contact lines in confined systems, but mathematical models of such systems are still incomplete. Motivated by recent experiments, we develop a model of a moving contact line incorporating the effects of evaporation, Marangoni stresses, and two-component disjoining pressure and apply it to study contact line motion over heated surfaces with either temperature or wettability gradients. Conditions for local increase in the evaporative flux are identified.