Beyond-Cassie Mode of Wetting and Local Contact Angles of Droplets on Checkboard-Patterned Surfaces

Carmeliet, Jan; Chen, Li; Kang, Qinjun; Derome, Dominique

doi:10.1021/acs.langmuir.7b01471

Title: Beyond-Cassie Mode of Wetting and Local Contact Angles of Droplets on Checkboard-Patterned Surfaces

Journal Article · Wed May 31 00:00:00 EDT 2017 · Langmuir

DOI:https://doi.org/10.1021/acs.langmuir.7b01471· OSTI ID:1514943

Carmeliet, Jan ^[1]; Chen, Li ^[2]; Kang, Qinjun ^[3]; Derome, Dominique ^[4]

Swiss Federal Inst. of Technology in Zürich (ETH Zürich) (Switzerland). Chair of Building Physics; Swiss Federal Lab. for Materials Science and Technology (Empa), Dübendorf (Switzerland). Lab. of Multiscale Studies in Building Physics
Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Xi’an Jiaotong Univ. (China). Key Lab. of Thermo-Fluid Science and Engineering of MOE. School of Energy and Power Engineering
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Swiss Federal Lab. for Materials Science and Technology (Empa), Dübendorf (Switzerland). Lab. of Multiscale Studies in Building Physics

Droplet wetting and distortion on flat surfaces with heterogeneous wettability are studied using the 3D Shan–Chen pseudopotential multiphase lattice Boltzmann model (LBM). The contact angles are compared with the Cassie mode, which predicts an apparent contact angle for flat surfaces with different wetting properties, where the droplet size is large compared to the size of the heterogeneity. The surface studied consists in a regular checkboard pattern with two different Young’s contact angles (hydrophilic and hydrophobic) and equal surface fraction. The droplet size and patch size of the checkboard are varied beyond the limit where Cassie’s equation is valid. A critical ratio of patch size to droplet radius is found below which the apparent contact angle follows the Cassie mode. Above the critical value, the droplet shape changes from a spherical cap to a more distorted form, and no single contact angle can be determined. The local contact angles are found to vary along the contact line between minimum and maximum values. The droplet is found to wet preferentially the hydrophilic region, and the wetted area fraction of the hydrophilic region increases quasi-linearly with the ratio between patch and droplet sizes. We propose a new equation beyond the critical ratio, defining an equivalent contact angle, where the wetted area fractions are used as weighting coefficients for the maximum and minimum local contact angles. This equivalent contact angle is found to equal Cassie’s contact angle.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States); Swiss Federal Inst. of Technology in Zürich (ETH Zürich) (Switzerland); Swiss Federal Lab. for Materials Science and Technology (Empa), Dübendorf (Switzerland)

Sponsoring Organization:: USDOE; LANL Laboratory Directed Research and Development (LDRD) Program; Swiss National Science Foundation (SNSF)

Grant/Contract Number:: 89233218CNA000001; 200021-143651

OSTI ID:: 1514943

Report Number(s):: LA-UR-17-24801

Journal Information:: Langmuir, Vol. 33, Issue 24; ISSN 0743-7463

Publisher:: American Chemical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 32 works

Citation information provided by
Web of Science

References (23)

Wetting and spreading Bonn, Daniel; Eggers, Jens; Indekeu, Joseph Reviews of Modern Physics, Vol. 81, Issue 2 https://doi.org/10.1103/RevModPhys.81.739	journal	May 2009
III. An essay on the cohesion of fluids Young, Thomas Philosophical Transactions of the Royal Society of London, Vol. 95, p. 65-87 https://doi.org/10.1098/rstl.1805.0005	journal	January 1805
The rigorous derivation of Young, Cassie–Baxter and Wenzel equations and the analysis of the contact angle hysteresis phenomenon Whyman, Gene; Bormashenko, Edward; Stein, Tamir Chemical Physics Letters, Vol. 450, Issue 4-6 https://doi.org/10.1016/j.cplett.2007.11.033	journal	January 2008
How Wenzel and Cassie Were Wrong Gao, Lichao; McCarthy, Thomas J. Langmuir, Vol. 23, Issue 7 https://doi.org/10.1021/la062634a	journal	March 2007
When Wenzel and Cassie Are Right: Reconciling Local and Global Considerations Marmur, Abraham; Bittoun, Eyal Langmuir, Vol. 25, Issue 3 https://doi.org/10.1021/la802667b	journal	January 2009
Cassie and Wenzel: Were They Really So Wrong? McHale, G. Langmuir, Vol. 23, Issue 15 https://doi.org/10.1021/la7011167	journal	June 2007
The modified Cassie’s equation and contact angle hysteresis Xu, Xianmin; Wang, Xiaoping Colloid and Polymer Science, Vol. 291, Issue 2 https://doi.org/10.1007/s00396-012-2748-1	journal	August 2012
Wetting of textured surfaces Bico, José; Thiele, Uwe; Quéré, David Colloids and Surfaces A: Physicochemical and Engineering Aspects, Vol. 206, Issue 1-3, p. 41-46 https://doi.org/10.1016/S0927-7757(02)00061-4	journal	July 2002
Contact Angles and Hysteresis on Surfaces with Chemically Heterogeneous Islands Extrand, C. W. Langmuir, Vol. 19, Issue 9 https://doi.org/10.1021/la0268350	journal	April 2003
A Variational Approach to Wetting of Composite Surfaces: Is Wetting of Composite Surfaces a One-Dimensional or Two-Dimensional Phenomenon? Bormashenko, Edward Langmuir, Vol. 25, Issue 18 https://doi.org/10.1021/la902458t	journal	August 2009
Advancing contact lines on chemically patterned surfaces Cubaud, T.; Fermigier, M. Journal of Colloid and Interface Science, Vol. 269, Issue 1 https://doi.org/10.1016/j.jcis.2003.08.008	journal	January 2004
Efficient modelling of droplet dynamics on complex surfaces Karapetsas, George; Chamakos, Nikolaos T.; Papathanasiou, Athanasios G. Journal of Physics: Condensed Matter, Vol. 28, Issue 8 https://doi.org/10.1088/0953-8984/28/8/085101	journal	February 2016
Beyond Cassie equation: Local structure of heterogeneous surfaces determines the contact angles of microdroplets Zhang, Bo; Wang, Jianjun; Liu, Zhiping Scientific Reports, Vol. 4, Issue 1 https://doi.org/10.1038/srep05822	journal	July 2014
Drop dynamics on chemically patterned surfaces Kusumaatmaja, H.; Léopoldès, J.; Dupuis, A. Europhysics Letters (EPL), Vol. 73, Issue 5 https://doi.org/10.1209/epl/i2005-10452-0	journal	March 2006
Modeling Contact Angle Hysteresis on Chemically Patterned and Superhydrophobic Surfaces Kusumaatmaja, H.; Yeomans, J. M. Langmuir, Vol. 23, Issue 11 https://doi.org/10.1021/la063218t	journal	May 2007
Lattice Boltzmann Method for Fluid Flows Chen, Shiyi; Doolen, Gary D. Annual Review of Fluid Mechanics, Vol. 30, Issue 1 https://doi.org/10.1146/annurev.fluid.30.1.329	journal	January 1998
Simulation of nonideal gases and liquid-gas phase transitions by the lattice Boltzmann equation Shan, Xiaowen; Chen, Hudong Physical Review E, Vol. 49, Issue 4 https://doi.org/10.1103/PhysRevE.49.2941	journal	April 1994
Equations of state in a lattice Boltzmann model Yuan, Peng; Schaefer, Laura Physics of Fluids, Vol. 18, Issue 4 https://doi.org/10.1063/1.2187070	journal	April 2006
A critical review of the pseudopotential multiphase lattice Boltzmann model: Methods and applications Chen, Li; Kang, Qinjun; Mu, Yutong International Journal of Heat and Mass Transfer, Vol. 76 https://doi.org/10.1016/j.ijheatmasstransfer.2014.04.032	journal	September 2014
On equations of state in a lattice Boltzmann method Kupershtokh, A. L.; Medvedev, D. A.; Karpov, D. I. Computers & Mathematics with Applications, Vol. 58, Issue 5 https://doi.org/10.1016/j.camwa.2009.02.024	journal	September 2009
Numerical study of gravity-driven droplet displacement on a surface using the pseudopotential multiphase lattice Boltzmann model with high density ratio Son, Soyoun; Chen, Li; Derome, Dominique Computers & Fluids, Vol. 117 https://doi.org/10.1016/j.compfluid.2015.04.022	journal	August 2015
Contact Angle Effects on Pore and Corner Arc Menisci in Polygonal Capillary Tubes Studied with the Pseudopotential Multiphase Lattice Boltzmann Model Son, Soyoun; Chen, Li; Kang, Qinjun Computation, Vol. 4, Issue 1 https://doi.org/10.3390/computation4010012	journal	February 2016
Low-bond axisymmetric drop shape analysis for surface tension and contact angle measurements of sessile drops Stalder, Aurélien F.; Melchior, Tobias; Müller, Michael Colloids and Surfaces A: Physicochemical and Engineering Aspects, Vol. 364, Issue 1-3 https://doi.org/10.1016/j.colsurfa.2010.04.040	journal	July 2010

Cited By (4)

Molecular dynamics simulation of nanosized water droplet spreading on chemically heterogeneous surfaces Di, Jiawei; Yang, Zhen; Duan, Yuanyuan AIP Advances, Vol. 9, Issue 12 https://doi.org/10.1063/1.5117340	journal	December 2019
Droplets on chemically patterned surface: A local free-energy minima analysis Wu, Yanchen; Wang, Fei; Selzer, Michael Physical Review E, Vol. 100, Issue 4 https://doi.org/10.1103/physreve.100.041102	journal	October 2019
Internal-Flow-Mediated, Tunable One-dimensional Cassie-to-Wenzel Wetting Transition on Superhydrophobic Microcavity Surfaces during Evaporation Pendyala, Prashant; Kim, Hong Nam; Grewal, Harpreet S. Nanoscale and Microscale Thermophysical Engineering, Vol. 23, Issue 4 https://doi.org/10.1080/15567265.2019.1660439	journal	August 2019
Free Solution Convection at Non-Isothermal Evaporation of Aqueous Salt Solution on a Micro-Structured Wall Misyura, S. Y. Nanoscale and Microscale Thermophysical Engineering, Vol. 23, Issue 1 https://doi.org/10.1080/15567265.2018.1551448	journal	November 2018