A new model for contact angle hysteresis

Antonio DeSimone; Natalie Grunewald; Felix Otto

doi:10.3934/nhm.2007.2.211

Article Contents

2007, Volume 2, Issue 2: 211-225. Doi: 10.3934/nhm.2007.2.211

This issue Previous Article Self-organized network flows Next Article A second order model of road junctions in fluid models of traffic networks

A new model for contact angle hysteresis

1.
SISSA-International School for Advanced Studies, Via Beirut 2-4, 34014 Trieste
2.
Institut für Angewandte Mathematik, Wegelerstr. 10, 53115, Bonn

Received: June 30, 2006

Revised: December 31, 2006

Published: May 2007

Abstract Related Papers Cited by

Abstract

We present a model which explains several experimental observations relating contact angle hysteresis with surface roughness. The model is based on the balance between released capillary energy and dissipation associated with motion of the contact line: it describes the stick–slip behavior of drops on a rough surface using ideas similar to those employed in dry friction, elasto–plasticity and fracture mechanics. The main results of our analysis are formulas giving the interval of stable contact angles as a function of the surface roughness. These formulas show that the difference between advancing and receding angles is much larger for a drop in complete contact with the substrate (Wenzel drop) than for one whose cavities are filled with air (Cassie-Baxter drop). This fact is used as the key tool to interpret the experimental evidence.

Keywords:

Mathematics Subject Classification: Primary: 76B45, 49S05; Secondary: 74C05.

Citation:

Article Metrics

HTML views() PDF downloads(194) Cited by(0)

A new model for contact angle hysteresis

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

A new model for contact angle hysteresis

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content