Hydrodynamic interaction between a flat surface and an evaporating drop in its own superheated vapor in the case of small Reynolds and Knudsen numbers

An expression for the force of interaction between a flat surface and an evaporating drop moving along the normal to this surface is obtained in the approximation of the hydrodynamic lubrication theory. The gap between the surface and the drop is small. 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.