Influence of contact angle hysteresis on forced oscillations of a clamped drop

We consider forced oscillations of a clamped liquid drop. The drop is surrounded by an incompressible fluid of a different density. In equilibrium, the drop has the form of a circular cylinder bounded axially by parallel solid planes, and the contact angle measures 90 degrees. The specific boundary conditions are applied as follows: the contact line starts to slide only when the deviation of the contact angle exceeds a certain critical value. As a result, the stick-slip dynamics can be observed.