Unsteady Flow near the Junction Zone of Three Liquids

In this paper we consider the motion near the junction zone of three approximately plane liquid films of semiinfinite extent in two dimensional polar coordinate system with negligible inertia. We use Stokes equation to describe such flow. The pressure in the region of large curvature is less than that on the surface of bulk fluid and this pressure gradient ensures that this problem is unsteady state case. The equation that governs such flow is solved analytically, the shape and the thickness are determined for some liquids.