2022
DOI: 10.1002/mma.8462
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Beyond the Wenzel and Cassie–Baxter world: Mathematical insight into contact angles

Abstract: The famous and still being incessantly cited works published in the first half of the last century by Wenzel 1 and by Cassie and Baxter 2 represent an unprecedented case related to quite tangible phenomena around us. These publications

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Cited by 7 publications
(5 citation statements)
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“…In other words, because the chemical nature and the surface properties of the nanoparticles differ from that of the polymer substrate, both the chemical heterogeneity and surface roughness must be considered in the final state at equilibrium; thus, in the current situation, the final state can be seen as a combination of the Cassie–Baxter and Wenzel states. In fact, it was recently shown [ 24 ] that, indeed, a transition from the Cassie–Baxter state to a Wenzel state transition produces a continuous spectrum of a linear combination between the two basis states. To prove that the main parameter controlling the wettability observed on the nanostructured side is the surface polarity of the nanoparticles, we treat the surface with hexamethyldisilazane (HMDS), a well-known surface hydrophobizing agent.…”
Section: Discussionmentioning
confidence: 99%
“…In other words, because the chemical nature and the surface properties of the nanoparticles differ from that of the polymer substrate, both the chemical heterogeneity and surface roughness must be considered in the final state at equilibrium; thus, in the current situation, the final state can be seen as a combination of the Cassie–Baxter and Wenzel states. In fact, it was recently shown [ 24 ] that, indeed, a transition from the Cassie–Baxter state to a Wenzel state transition produces a continuous spectrum of a linear combination between the two basis states. To prove that the main parameter controlling the wettability observed on the nanostructured side is the surface polarity of the nanoparticles, we treat the surface with hexamethyldisilazane (HMDS), a well-known surface hydrophobizing agent.…”
Section: Discussionmentioning
confidence: 99%
“…This is the case for surface chemical activation and physical surface roughening that, combined, modify the surface wettability. The Wenzel and Cassie-Baxter models are classic theories used to describe the wettability of a surface, especially in the presence of roughness or textures [232,233] . These models, summarized in Table 5, are often invoked to explain the hydrophilic and hydrophobic behaviors of rough surfaces.…”
Section: Surface Wettability: a Property Resulting From Chemical Acti...mentioning
confidence: 99%
“…This phenomenon was due to the air voids appearing on the film surface, which was commonly witnessed in previous research. 30,31 Based on the WCA results, the surface solid fraction (SSF) can be calculated following the Cassie–Baxter eqn (1): 32,33 cos θ c = f s (cos θ c + 1) − 1where θ c and θ s are defined as the contact angles of convex and smooth surfaces, and f s is the solid fraction on the film surface. In accordance with the attained WCA values, c -TPU_15 film possesses the lowest SSF of 51.9%.…”
Section: Resultsmentioning
confidence: 99%
“…This phenomenon was due to the air voids appearing on the film surface, which was commonly witnessed in previous research. 30,31 Based on the WCA results, the surface solid fraction (SSF) can be calculated following the Cassie-Baxter eqn (1): 32,33 cos y c = f s (cos…”
Section: Empirical Output Performancementioning
confidence: 99%