Mathematical analysis for wetting on rough surface
نویسندگان
چکیده
منابع مشابه
Rough ideas on wetting
After a brief presentation of the classical laws of wetting, we review di(erent phenomenological descriptions of rough wetting, i.e., show how these classical laws must be modi*ed on rough solids. This introduces the questions of hemi-wicking (can a *lm propagate inside the texture of a solid ?), rough *lms (is it possible for a liquid *lm to follow the roughness of a solid ?) and super-hydroph...
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Quenched geometric disorder of a wall delimiting a spectator phase can have dramatic effects on the nature of critical wetting transitions. We consider selfaffine walls in 2D with roughness exponent £w. Transfer matrix results for directed interfacial models with short-range interactions suggest that wetting turns firstorder as soon as L,W exceeds £0, the anisotropy index of interface fluctuati...
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The influence of substrate roughness on the wetting scenario of adsorbed van der Waals films is investigated by theory and experiment. Calculating the bending free energy penalty of a solid sheet picking up the substrate roughness, we show that a finite roughness always leads to triple-point wetting reducing the widths of the adsorbed solid films considerably as compared to that of smooth subst...
متن کاملModified Wenzel and Cassie Equations for Wetting on Rough Surfaces
We study a stationary wetting problem on rough and inhomogeneous solid surfaces. We derive a new formula for the apparent contact angle by asymptotic two-scale homogenization method. The formula is reduced to a modified Wenzel equation for geometrically rough surfaces and a modified Cassie equation for chemically inhomogeneous surfaces. Unlike the classical Wenzel and Cassie equations, the modi...
متن کاملAnalysis for Wetting on Rough Surfaces by a Three-dimensional Phase Field Model∗
In this paper, we consider the derivation of the modified Wenzel’s and Cassie’s equations for wetting phenomena on rough surfaces from a three-dimensional phase field model. We derive an effective boundary condition by asymptotic two-scale homogenization technique when the size of the roughness is small. The modified Wenzel’s and Cassie’s equations for the apparent contact angles on the rough s...
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ژورنال
عنوان ژورنال: SCIENTIA SINICA Mathematica
سال: 2017
ISSN: 1674-7216
DOI: 10.1360/n012017-00153