Высота микро- и нанокапли в модели, учитывающей толщину поверхностного слоя капли

Abstract

A hanging drop of a fixed volume with axial symmetry is considered. The forming line of drop surface depends on a natural parameter. The B.V. Deryagin's model is used taking into account the interphase transition from liquid to gas. The total energy functional is used which takes into account the wedging energy of the surface layer component of the second order of smallness in the decomposition of the potential energy of the drop over the dimensionless width of the potential well. It is found the equation of the dependence of the drop height on the radius of the sticking spot. The value of the Lagrange multiplier is determined, at which an equilibrium drop is found among hanging drops of a fixed volume, a fixed area of adhesion to a horizontal surface and the wetting angle determined by Young's formula. A comparison with other models determining the relationship between the height of the drop, the radius of the spot of adhesion of the drop and the wetting angle is carried out.