Wetting of cylindrical droplet on heterogeneous and cylindrical solid substrate

Abstract

By methods of thermodynamics, wetting of cylindrical droplet on heterogeneous and smooth but chemically non-deformable cylindrical outer surfaces is investigated in this paper. For the three-phase system, we suppose the solid substrate is composed of two types of materials. Using Gibbs's method of dividing surface, the system can be separated into six segments. On the assumption that the temperature and chemical potential are constant, a generalized Cassie-Baxter equation is derived taking the line tension effects into consideration. This generalized Cassie-Baxter equation is discussed based on some assumptions.