1944
DOI: 10.1039/tf9444000546
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Wettability of porous surfaces

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Cited by 12,229 publications
(8,651 citation statements)
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“…Since small drops are hardly deformed by gravity, they remain spherical (radius R) with a circular contact line of radius r, geometrically related to R by the relationship r ) R sin θ*, denoting θ* as the mean contact angle below the drop. The angle θ* is expected to be a function of the pillar density, as shown by the so-called Cassie model; 4,6 θ* is an average between the Young contact angle on the solid (θ ) 100°in our case) and the angle on air (180°), weighed by their respective proportion φ and 1 -φ, which yields cos θ* )…”
Section: Introductionmentioning
confidence: 96%
See 1 more Smart Citation
“…Since small drops are hardly deformed by gravity, they remain spherical (radius R) with a circular contact line of radius r, geometrically related to R by the relationship r ) R sin θ*, denoting θ* as the mean contact angle below the drop. The angle θ* is expected to be a function of the pillar density, as shown by the so-called Cassie model; 4,6 θ* is an average between the Young contact angle on the solid (θ ) 100°in our case) and the angle on air (180°), weighed by their respective proportion φ and 1 -φ, which yields cos θ* )…”
Section: Introductionmentioning
confidence: 96%
“…ε ≈ 1/2aπb 2 γ ln(p/b) (6) ∆cos θ ≈ a/4φ ln(π/φ) (7) Figure 5. Comparison between the hysteresis measured on a superhydrophobic material (in the fakir state, on a density φ of pillars) and the hysteresis expected from eq 7.…”
Section: Introductionmentioning
confidence: 99%
“…The interaction of water with surfaces has been the subject of scientific investigation for centuries (Young 1805 and;Wenzel 1936;Cassie and Baxter 1944) and the water repellent surfaces created by nature, such as the lotus leaf reported by Barthlott and Neinhuis (Barthlott and Neinhuis 1997), has inspired a significant body of research. Water repellent surfaces have a variety of applications in nature, such as self-cleaning Neinhuis and Barthlott 1997), controlled water flow for self-irrigation (Shirtcliffe et al 2009) and air retention under water (Shirtcliffe et al 2006a;Barthlott et al 2010;McHale et al 2010), although in many cases the advantages are unclear (Holder 2007).…”
Section: Introductionmentioning
confidence: 99%
“…Water repellence in biological and technical surfaces is caused by a hydrophobic surface chemistry in combination with one or more levels of surface sculpturing Koch et al 2009). Droplets on such a surface are in the Cassie-Baxter wetting regime, where air is present in the grooves of the rough surface, underneath an applied liquid droplet (Cassie and Baxter 1944). In many cases this state has a low adherence for water, allowing droplets to roll off the surface at a low angle of inclination.…”
Section: Introductionmentioning
confidence: 99%
“…In Wenzel's model, the liquid completely infiltrates the microscale/nanoscale structure of the rough surface (Figure 1b), which successfully explained the contribution of surface roughness to surface wetting behavior. In addition, the Cassie model [3] is another typical wetting model, which was presented in 1944 by Cassie and Baxter. Their results indicated that the presence of air pockets between the liquids and the substrate can significantly affect the special wettability of surfaces (as shown in Figure 1c).…”
Section: Doi: 101002/adma201703009mentioning
confidence: 99%