Abstract
We discuss a phase field model for the numerical simulation of contact angle hysteresis phenomena in wetting. The performance of the model is assessed by comparing its predictions with experimental data on the critical size of drops that can stick on a vertical glass plate.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
P.-G. De Gennes, F. Brochard-Wyart and D. Quéré, Capillarity and Wetting Phenomena, Springer, 2004.
E.B. Dussan, On the ability of drops or bubbles to stick to non-horizontal surfaces of solids, J. Fluid Mech. 151, 1985, 1–20.
P. Seppecher, Moving contact lines in the Cahn-Hilliard theory, Int. J. Engrg. Sci. 34, 1996, 977–992.
H. Garcke, B. Nestler and B. Stoth, A multi-phase-field concept: Numerical simulations of moving phase boundaries and multiple junctions, SIAM J. Appl. Math. 60, 1999, 295–315.
R. Finn, Equilibrium Capillary Surfaces, Springer, 1986.
L. Modica, Gradient theory of phase transitions with boundary contact energy, Ann. Inst. H. Poincaré Anal. Non Linéaire 5, 1987, 497.
G. Alberti and A. DeSimone, Quasistatic evolution of sessile drops and contact angle hysteresis, forthcoming, 2009.
A. DeSimone, N. Grunewald and F. Otto, A new model for contact angle hysteresis, Networks and Heterogeneous Media 2, 2007, 211–225.
W. Bao and Q. Du, Computing the ground state solution of Bose–Einstein condensates by a normalized gradient flow, SIAM J. Sci. Comput. 25, 2004, 1674.
A. Turco, F. Alouges and A. DeSimone, Wetting on rough surfaces and contact angle hysteresis: Numerical experiment based on a phase field model, ESAIM: M2AN, 2009.
A. Turco, Variational techniques in the numerical simulation of molecular dynamics trajectories and of wetting on rough surfaces, PhD Thesis, 2008, http://digitallibrary.sissa.it/handle/1963/3405.
A. Carre and M.E.R. Shanahan, Drop motion on an inclined plane and evaluation of hydrophobic treatments to glass, J. Adhesion 49, 1995, 177–185.
G. Alberti and A. DeSimone, Wetting of rough surfaces: A homogenization approach, Proc. R. Soc. A 461, 2005, 79–97.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer Science+Business Media B.V.
About this paper
Cite this paper
DeSimone, A., Fedeli, L., Turco, A. (2010). A Phase Field Approach to Wetting and Contact Angle Hysteresis Phenomena. In: Hackl, K. (eds) IUTAM Symposium on Variational Concepts with Applications to the Mechanics of Materials. IUTAM Bookseries, vol 21. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-9195-6_4
Download citation
DOI: https://doi.org/10.1007/978-90-481-9195-6_4
Published:
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-9194-9
Online ISBN: 978-90-481-9195-6
eBook Packages: EngineeringEngineering (R0)