Macroscopic contact angle and liquid drops on rough solid surfaces via homogenization and numerical simulations

摘要

We discuss a numerical formulation for the cell problem related to a homogenizationudapproach for the study of wetting on micro rough surfaces. Regularity properties of the solution areuddescribed in details and it is shown that the problem is a convex one. Stability of the solution withudrespect to small changes of the cell bottom surface allows for an estimate of the numerical error, at leastudin two dimensions. Several benchmark experiments are presented and the reliability of the numericaludsolution is assessed, whenever possible, by comparison with analytical one. Realistic three dimensionaludsimulations confirm several interesting features of the solution, improving the classical models of studyudof wetting on roughness.