Thermodynamic analysis of hydrophobic property of a circular truncated cone microtexture

Based on the three-dimensional thermodynamic model, the wettability of a superhydrophobic solid surface with a circular truncated cone microstructure has been investigated. The relationship between the microstructure of the circular truncated cone surface and superhydrophobic property is established by introducing the tension of the three-phase contact line in the composite state. The results show that the base angle and base spacing of the circular truncated cone have great influence on the wetting transition of composite and non-composite states. The theoretical expressions of the critical transition criteria are also given. The accuracy of the theoretical results is verified by comparing the theoretical prediction with the existing experimental data in the literature. The model established in this paper provides a theoretical basis and a reference for the optimal geometric parameters for studying the wettability of advanced superhydrophobic materials by using engineering microstructures.