Influence of surface properties on the dynamics of a clamped drop in an inhomogeneous electric field

This article investigates the forced oscillations of an incompressible liquid drop under action inhomogeneous alternating electric field. The is surrounded by fluid a different density and clamped between two parallel plates. In equilibrium, has shape round cylinder bounded in axial direction these external field acts as force causing contact line to move. To describe motion line, modified Hocking boundary condition used: velocity proportional deviation angle from its equilibrium value rate fast relaxation processes, frequency which doubled use this equation makes it possible qualitatively experimental dependence function stress, contrast Young-Lippmann equation. solution problem represented Fourier series terms eigenfunctions Laplace operator. resulting system equations for unknown amplitudes solved numerically. Graphs amplitude-frequency characteristics dynamic are plotted various values parameters. wetting parameter depends on polar  , i.e. coefficient interaction plate (contact line) coordinates.