Types of Instability for the Trapped Drop Problem with Equal Contact Angles

This paper continues the study of the stability of a liquid drop forming a bridge between two parallel planes in the absence of gravity (Figure 1) (see [2], [3], [4]). It is important to realize that the curves of contact between the free surface of the drop and the planar plates are assumed to be free. In other words, a perturbation of the drop which changes the wetted regions on the planes is admissible. The parameters which are determined physically are the volume of the drop and the angles of contact between the free surface and the two fixed planes.