Contact Angles of Liquid Drops Subjected to a Rough Boundary

@article{Wolansky2017ContactAO,
  title={Contact Angles of Liquid Drops Subjected to a Rough Boundary},
  author={Gershon Wolansky},
  journal={SIAM J. Math. Anal.},
  year={2017},
  volume={51},
  pages={2286-2305}
}
  • G. Wolansky
  • Published 2 August 2017
  • Physics
  • SIAM J. Math. Anal.
The contact angle of a liquid drop on a rigid surface is determined by the classical theory of Young-Laplace. For chemically homogeneous surfaces, this angle is a constant. We study the minimal-energy configurations of liquid drops on rough surfaces. Here the actual angle is still constant for homogeneous surfaces, but the apparent angle can fluctuate widely. A limit theorem is introduced for minimal energy configuration, where the rigid surface converges to a smooth one, but the roughness… 

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References

SHOWING 1-10 OF 29 REFERENCES

Effects of surface roughness on wetting (theoretical)

Liquid Drops on a Rough Surface

We consider a liquid drop sitting on a rough solid surface at equilibrium, a volume‐constrained minimizer of the total interfacial energy. The large‐scale shape of such a drop strongly depends on the

The actual contact angle on a heterogeneous rough surface in three dimensions

A general equation is presented for the actual contact angle on a solid surface in a three-dimensional setting. The solid surface may be rough or heterogeneous or both. The effects of the existence

Contact angle hysteresis and the shape of the three-phase line

Effect of contact angle on capillary displacement curvatures in pore throats formed by spheres

Abstract The curvature of an interface in a pore depends upon the shape of the pore and the operative contact angle that the interface makes with the solid surface. Even relatively simple pores

CONTACT ANGLE HYSTERESIS ON HETEROGENEOUS SMOOTH SURFACES

Abstract An oscillatory dependence of the highest and lowest possible contact angles on the volume of a drop is demonstrated for a simple model of a two-dimensional (cylindrical) drop placed on a

Capillary Spreading of Liquid Drops on Solid Surfaces

Spreading of a liquid over a dry smooth solid surface is analyzed in the case of complete wetting, negligible evaporation, and small Bond and Weber numbers. In the inner region, the approach of V. M.

Contact angle measurement on rough surfaces: the missing link

Wettability of rough surfaces is critical for many processes and materials. The most prevalent technique for characterizing wettability is the measurement of contact angles. Unfortunately, the

Equilibrium contact angles and film thicknesses in the apolar and polar systems: role of intermolecular interactions in coexistence of drops with thin films

A stable coexistence (or the lack of it) of a macroscopic drop with ita thin films on a substrate depends on the apolar (Lifshitz-van der Waals) and polar interactions near the contact zone. The

Determination of the Surface Tension of Microporous Membranes Using Contact Angle Measurements

A new method of determining the surface tension of the solid material that a microporous membrane is made from is introduced, based on the well known determination of the so-called contact angle that is formed on the solid/liquid/gaseous three phase line.