Hostname: page-component-7dd5485656-hw7sx Total loading time: 0 Render date: 2025-10-31T20:10:01.701Z Has data issue: false hasContentIssue false
  • English
  • Français

Simulating contact angle hysteresis using pseudo-line tensions

Published online by Cambridge University Press:  10 July 2019

Ping He Open the ORCID record for Ping He [Opens in a new window]  and
Chun-Wei Yao
Ping He*
Affiliation:
Department of Mechanical Engineering, Lamar University, Beaumont, TX 77710, USA
Chun-Wei Yao*
Affiliation:
Department of Mechanical Engineering, Lamar University, Beaumont, TX 77710, USA
*
Address all correspondence of modeling and simulations to Ping He at phe@lamar.edu
Address all correspondence of experiments to Chun-Wei Yao at cyao@lamar.edu
Get access

Abstract

Pseudo-line tensions are used in a continuum approach to simulate contact angle hysteresis. A pair of pseudo-line tensions in the receding and advancing states, respectively, are utilized to represent contact line interactions with a substrate because of the nanoscale topological and/or chemical heterogeneity on the substrate. A water droplet sitting on a horizontal or inclined substrate, whose volume is 4–30 µL, has been studied experimentally and numerically. Our simulation model predicts consistent hysteresis at four different droplet sizes compared with experiments. Meanwhile, the critical roll-off angles captured in simulations match well with experiments.

Information

Type
Research Letters
Information
MRS Communications , Volume 9 , Issue 3 , September 2019 , pp. 1060 - 1066
Copyright
Copyright © Materials Research Society 2019 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

References

1.Eral, H.B., ‘t Mannetje, D.J.C.M., and Oh, J.M.: Contact angle hysteresis: a review of fundamentals and applications. Colloid Polym. Sci 291, 247 (2013).Google Scholar
2.Dufour, R., Harnois, M., Thomy, V., Boukherroub, R., and Senez, V.: Contact angle hysteresis origins: investigation on super-omniphobic surfaces. Soft Matter 7, 9380 (2011).Google Scholar
3.Gao, L.C. and McCarthy, T.J.: Contact angle hysteresis explained. Langmuir 22, 6234 (2006).Google Scholar
4.Gibbs, J.W., Bumstead, H.A., and Van Name, R.G.: The Scientific Papers of J. Willard Gibbs (Longmans, Green and Company, New York and Bombay, 1906), p. 288.Google Scholar
5.Boruvka, L. and Neumann, A.W.: Generalization of the classical theory of capillarity. J. Chem. Phys. 66, 5464 (1977).Google Scholar
6.Gershfeld, N.L. and Good, R.J.: Line tension and the penetration of a cell membrane by an oil drop. J. Theor. Biol. 17, 246 (1967).Google Scholar
7.Good, R.J. and Koo, M.N.: The effect of drop size on contact angle. J. Colloid Interface Sci. 71, 283 (1979).Google Scholar
8.Drelich, J. and Miller, J.D.: The effect of surface heterogeneity on pseudo-line tension and the flotation limit of fine particles. Colloids Surf. 69, 35 (1992).Google Scholar
9.Drelich, J. and Miller, J.D.: The line/pseudo-line tension in three-phase systems. Particul. Sci. Technol. 10, 1 (1992).Google Scholar
10.Drelich, J., Miller, J.D., and Good, R.J.: The effect of drop (bubble) size on advancing and receding contact angles for heterogeneous and rough solid surfaces as observed with sessile-drop and captive-bubble techniques. J. Colloid Interface Sci. 179, 37 (1996).Google Scholar
11.Amirfazli, A. and Neumann, A.W.: Status of the three-phase line tension. Adv. Colloid Interface 110, 121 (2004).Google Scholar
12Azimi, A., He, P., Rohrs, C., and Yao, C.W.: Developing a novel continuum model of static and dynamic contact angles in a case study of a water droplet on micro-patterned hybrid substrates. MRS Commun. 8, 1445 (2018).Google Scholar
13.Pierce, E., Carmona, F.J., and Amirfazli, A.: Understanding of sliding and contact angle results in tilted plate experiments. Colloid Surf. A 323, 73 (2008).Google Scholar
Supplementary material: PDF

He and Yao supplementary material

He and Yao supplementary material 1

Download He and Yao supplementary material(PDF)
PDF 2.2 MB