Computation of hydrodynamic interaction of a plane surface and an evaporating drop in its own superheated vapor for small Reynolds and Knudsen numbers

An expression for the interaction force with the flat surface of an evaporating drop moving along the normal to this surface at a small gap between them is obtained in the approximation of the hydrodynamic lubrication theory. The effects of the slip, the temperature jump, and the evaporation rate of the drop on the time of variation of this gap are considered under the assumption that the temperature of the flat surface exceeds the boiling temperature of the drop.