A liquid droplet on a micropatterned
substrate equalizes into either the Cassie–Baxter (also called
Cassie for short) or the Wenzel state. This paper investigates the
wetting phenomena on ideal micropatterned surfaces consisting of straight
micropillars at different pillar dimensions and spacings (the word
“ideal” refers to being chemically homogeneous and free
of submicron-scale roughness all over the micropatterned surface).
Two modeling approaches are used: (1) a thermodynamic approach analyzing
the Gibbs energy of the droplet–solid–gas system and
(2) a computational fluid dynamics (CFD) approach studying the three-dimensional
dynamic wetting process to validate the results of the first approach.
The thermodynamic approach incorporates three creative submodels proposed
in this paper: (i) a sagging model explaining the pillar edge effect,
(ii) a touchdown model transitioning the droplet’s partial
penetrating condition toward its full penetrating condition, i.e.,
the Wenzel state, and (iii) a liquid-volume model dynamically computing
the liquid volume between the pillar valleys while in the partial
penetrating condition or in the Wenzel state. The results of the thermodynamic
approach reveal (1) a small energy barrier between the Cassie and
Wenzel states, (2) no partial penetration and sagging of the liquid
in the Cassie state on the ideal straight micropillared surface, and
(3) that the apparent contact angle in the most stable Wenzel state
can be 5° or more lower than the prediction of the Wenzel equation
when the pillar height is equal or greater than 75 μm. To the
best of our knowledge, this paper presents the theoretical explanation
of this Wenzel deviation on micropatterned surfaces for the first
time in the literature. Utilizing the state-of-the-art continuum model
developed by the authors in previous studies, the CFD approach investigates
the same wetting conditions and confirms the same findings.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.