Effects of surface roughness on wetting (theoretical)
摘要：
The effect of roughness of a solid surface on its wettability by a liquid has been studied theoretically using mechanistic arguments. By calculating the equilibrium shape of a liquid drop resting on a rough surface, we obtain the relation between the true (or microscopic) equilibrium contact angle at the three-phase contact line and the apparent contact angle observed macroscopically at the geometrical contour plane of the solid. By extending a proposal of Shuttleworth and Bailey, we provide a plausible explanation for hysteresis of the drop shape and contact angle which we evaluate for solid surfaces with concentric grooves. To calculate the equilibrium drop shape of a liquid on a solid surface whose roughness is more realistic than concentric grooves, we employ a perturbation method of solving approximately the Young-Laplace equation for the shape. Although the hysteresis in contact angle and drop shape cannot be evaluated by the method, the apparent contact angle and the local contact line positions are approximately predicted when the surface roughness has the form of cross grooves, hexagonal grooves, and radial grooves. Surfaces having random roughness are also considered and a modified form of the well-known Wenzel equation is derived which includes a factor for surface texture in addition to the conventional roughness factor.
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关键词：
Theoretical or Mathematical/ contact angle surface texture wetting/ surface roughness wetting mechanistic arguments equilibrium contact angle hysteresis grooves perturbation method random roughness Wenzel equation surface texture liquid drop equilibrium shape Young Laplace equation/ A6810C Fluid surface energy (surface tension, interface tension, angle of contact, etc.)
DOI：
10.1016/0021-9797(77)90251-X
被引量：
年份：
1977
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