DOI: 10.1063/1.2913675. A microscopic view on contact angle selection

A microscopic view on contact angle selection

10.1063/1.2913675

Crossref journal-article

AIP Publishing

Physics of Fluids (317)

Abstract

We discuss the equilibrium condition for a liquid that partially wets a solid on the level of intermolecular forces. By using a mean field continuum description, we generalize the capillary pressure from variation of the free energy and show at what length scale the equilibrium contact angle is selected. After recovering Young’s law for homogeneous substrates, it is shown how hysteresis of the contact angle can be incorporated in a self-consistent fashion. In all cases, the liquid-vapor interface takes a nontrivial shape, which is compared to models using a disjoining pressure.

Bibliography

Snoeijer, J. H., & Andreotti, B. (2008). A microscopic view on contact angle selection. Physics of Fluids, 20(5).

Authors 2

Jacco H. Snoeijer (first)
Bruno Andreotti (additional)

References 40 Referenced 79

10.1098/rstl.1805.0005 / Philos. Trans. R. Soc. London / On the cohesion of fluids (1805)
10.1063/1.1747248 / J. Chem. Phys. / The statistical mechanical theory of surface tension (1949)
{'volume-title': 'Molecular Theory of Capillarity', 'year': '1982', 'key': '2023080300203439200_c3'} / Molecular Theory of Capillarity (1982)
10.1103/RevModPhys.57.827 / Rev. Mod. Phys. / Wetting: Statics and dynamics (1985)
10.1063/1.858320 / Phys. Fluids A / Contact angles (1992)
10.1021/la00053a033 / Langmuir / Direct measurement of interfacial interactions between semispherical lenses and flat sheets of poly(dimethylsiloxane) and their chemical derivatives (1990)
10.1016/0378-4371(93)90120-S / Physica A / Line tension at wetting: interface displacement model beyond the gradient-squared approximation (1993)
10.1103/PhysRevE.57.655 / Phys. Rev. E / Line tension between fluid phases and a substrate (1998)
10.1103/PhysRevLett.85.1930 / Phys. Rev. Lett. / Three-phase contact line energetics from nanoscale liquid surface topographies (2000)
10.1163/156856100743220 / J. Adhes. Sci. Technol. / Scanning force microscopy investigation of liquid structures and its application to fundamental wetting research (2000)
10.1016/0021-9797(71)90188-3 / J. Colloid Interface Sci. / Hydrodynamic model of steady movement of a solid/liquid/fluid contact line (1971)
10.1007/BF01012963 / Fluid Dyn. / Hydrodynamics of wetting (1976)
10.1103/PhysRevLett.93.094502 / Phys. Rev. Lett. / Hydrodynamic theory of forced dewetting (2004)
10.1103/PhysRevE.62.2480 / Phys. Rev. E / Disjoining potential and spreading of thin liquid layers in the diffuse-interface model coupled to hydrodynamics (2000)
10.1017/S0022112008000979 / J. Fluid Mech. / Relaxation of a dewetting contact line, Part 2: Experiments (2008)
10.1103/PhysRevE.72.061605 / Phys. Rev. E / Contact line motion for partially wetting fluids (2005)
10.1017/S002211208300227X / J. Fluid Mech. / On the ability of drops or bubbles to stick to nonhorizontal surfaces of solids (1983)
10.1103/PhysRevLett.98.166105 / Phys. Rev. Lett. / Dynamics and hysteresis of the contact line between liquid hydrogen and cesium substrates (2007)
10.1063/1.447337 / J. Chem. Phys. / A model for contact angle hysteresis (1984)
10.1016/S0021-9797(85)80016-3 / J. Colloid Interface Sci. / Contact angle hysteresis and the shape of the three-phase line (1985)
10.1209/epl/i2003-00319-x / Europhys. Lett. / Equation of motion of the triple contact line along an inhomogeneous interface (2003)
10.1021/ie50320a024 / Ind. Eng. Chem. / Resistance of solid surfaces to wetting by water (1936)
10.1039/tf9444000546 / Trans. Faraday Soc. / Wettability of porous surfaces (1944)
10.1209/epl/i2001-00402-x / Europhys. Lett. / Rough wetting (2001)
10.1017/S0022112090001859 / J. Fluid Mech. / Dynamics of wetting: Local contact angles (1990)
10.1021/la971407t / Langmuir / Hysteretic effects in droplet motions on heterogeneous substrates: Direct numerical simulation (1998)
10.1007/s100510050907 / Eur. Phys. J. B / Quantitative study of laterally inhomogeneous wetting films (1999)
10.1103/PhysRevLett.82.4671 / Phys. Rev. Lett. / Large slip effect on a nonwetting fluid-solid interface (1999)
10.1103/PhysRevLett.96.206101 / Phys. Rev. Lett. / Gas enrichment at liquid-wall interfaces (2006)
10.1007/BF01029998 / J. Stat. Phys. / Flexural rigidity of a liquid surface (1991)
10.1063/1.858627 / Phys. Fluids A / The influence of intermolecular forces on thin fluid layers (1993)
10.1017/S0022112004008420 / J. Fluid Mech. / A slope-dependent disjoining pressure for non-zero contact angles (2004)
{'volume-title': 'Intermolecular and Surface Forces', 'year': '1992', 'key': '2023080300203439200_c33'} / Intermolecular and Surface Forces (1992)
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10.1016/0001-8686(95)00245-L / Adv. Colloid Interface Sci. / Contact angles and surface forces (1995)
10.1038/338640a0 / Nature (London) / Molecular layering in the spreading of wetting liquid drops (1989)
{'key': '2023080300203439200_c39', 'first-page': '494', 'article-title': 'Relations entre les phénomènes électriques et capillaires', 'volume': '5', 'year': '1875', 'journal-title': 'Ann. Chim. Phys.'} / Ann. Chim. Phys. / Relations entre les phénomènes électriques et capillaires (1875)
10.1103/PhysRevLett.91.086101 / Phys. Rev. Lett. / Interface profiles near three-phase contact lines in electric fields (2003)
10.1088/0953-8984/19/37/375112 / J. Phys.: Condens. Matter / Equilibrium drop surface profiles in electric fields (2007)

Dates

Type	When
Created	17 years, 3 months ago (May 19, 2008, 6:22 p.m.)
Deposited	2 years ago (Aug. 2, 2023, 8:20 p.m.)
Indexed	3 weeks, 4 days ago (July 30, 2025, 6:50 a.m.)
Issued	17 years, 3 months ago (May 1, 2008)
Published	17 years, 3 months ago (May 1, 2008)
Published Online	17 years, 3 months ago (May 19, 2008)
Published Print	17 years, 3 months ago (May 1, 2008)

Funders 0

None

BibTeX

@article{Snoeijer_2008, title={A microscopic view on contact angle selection}, volume={20}, ISSN={1089-7666}, url={http://dx.doi.org/10.1063/1.2913675}, DOI={10.1063/1.2913675}, number={5}, journal={Physics of Fluids}, publisher={AIP Publishing}, author={Snoeijer, Jacco H. and Andreotti, Bruno}, year={2008}, month=may }

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      "URL": "https://pubs.aip.org/pof/article/20/5/057101/964453/A-microscopic-view-on-contact-angle-selection"
    }
  },
  "subtitle": [],
  "short-title": [],
  "issued": {
    "date-parts": [
      [
        2008,
        5,
        1
      ]
    ]
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  "references-count": 40,
  "journal-issue": {
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  "URL": "http://dx.doi.org/10.1063/1.2913675",
  "relation": {},
  "ISSN": [
    "1070-6631",
    "1089-7666"
  ],
  "subject": [],
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        2008,
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  "article-number": "057101"
}