Multiple Liquid Bridges with Non-Smooth Interfaces
Abstract
We consider a coexistence of two axisymmetric liquid bridges LBi and LBm of two immiscible liquids i and m which are immersed in a third liquid (or gas) e and trapped between two smooth solid bodies with axisymmetric surfaces S1,S2 and free contact lines. Evolution of liquid bridges allows two different configurations of LBi and LBm with multiple (five or three) interfaces of non-smooth shape. We formulate a variational problem with volume constraints and present its governing equations supplemented by boundary conditions. We find a universal relationship between curvature of the interfaces and discuss the Young relation at the singular curve where all liquids meet together.
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