Геометрические характеристики нанокапли. Ранжирование энергии капли

Abstract

The equilibrium condition of a hanging axially symmetric droplet is derived for the Deryagin model, which takes into account the thickness of the wedging/molecular layer of the droplet surface. For an axisymmetric drop, the forming line of which depends on a natural parameter, a differential equation is found, the solution of which is the integrand function of the functional of the wedging energy. The solution of this differential equation is found. The functional of the wedging energy of the drop is constructed. The functional of the total energy of an axisymmetric hanging drop is refined, taking into account the second-order component of the smallness of the energy of intermolecular interaction. As a result of solving the variational problem, the equilibrium condition of a liquid droplet is obtained for the Deryagin model, which takes into account the thickness of the surface layer of the droplet. Due to the fact that the first variation of the functional of the total energy of a drop for an equilibrium drop is zero, a more accurate form of the dependence of the liquid-solid contact angle on the radius and height of the drop is obtained. The decomposition of the potential energy of the intermolecular interaction by degrees of the potential well is obtained for the Deryagin model, which takes into account the thickness of the wedging/molecular layer of the droplet surface, which is why a second-order element of smallness appeared in the decomposition by degrees of the potential well. A comparison with other models specifying the relationship of the wetting angle depending on the height of the drop is carried out.