EXACT SOLUTIONS OF THE SHAPING PROBLEM IN TWO-DIMENSIONAL CASE AND THEIR PROPERTIES
In this paper we study the shaping problem for the two-dimensional and axisymmetric pendant drops hanging under gravity from a solid surface. Using the Young-Laplace equation for excess pressure we obtain exact solutions of the problem in terms of elliptic integrals. Analytical and numerical studies are carried out on the dependence of the meridional section of the drop on the parameters of the mathematical model. The maximum values of such important characteristics of the equilibrium configurations of a two-dimensional pendent drop as height, diameter and cross-sectional area are found.