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Title: Wetting of a partially immersed compliant rod

Abstract

The force on a solid rod partially immersed in a liquid is commonly used to determine the liquid-vapor surface tension by equating the measured force required to remove the rod from the liquid to the vertical component of the liquid-vapor surface tension. Here, we study how this process is affected when the rod is compliant. For equilibrium, we enforce force and configurational energy balance, including contributions from elastic energy. We show that, in general, the contact angle does not equal that given by Young's equation. If surface stresses are tensile, the strain in the immersed part of the rod is found to be compressive and to depend only on the solid-liquid surface stress. The strain in the dry part of the rod can be either tensile or compressive, depending on a combination of parameters that we identify. We provide results for compliant plates partially immersed in a liquid under plane strain and plane stress. Our results can also be used to extract solid surface stresses from such experiments.

Authors:
 [1];  [2]
  1. Cornell Univ., Ithaca, NY (United States). Dept. of Mechanical and Aerospace Engineering
  2. Lehigh Univ., Bethlehem, PA (United States). Dept. of Chemical and Biomolecular Engineering and Bioengineering Program
Publication Date:
Research Org.:
Lehigh Univ., Bethlehem, PA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division
OSTI Identifier:
1465121
Alternate Identifier(s):
OSTI ID: 1332586
Grant/Contract Number:  
FG02-07ER46463
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Applied Physics
Additional Journal Information:
Journal Volume: 120; Journal Issue: 19; Journal ID: ISSN 0021-8979
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; 42 ENGINEERING; liquid surfaces; solid surfaces; strain measurement; elastic moduli; surface tension; wetting; energy balance; stress strain relations

Citation Formats

Hui, Chung-Yuen, and Jagota, Anand. Wetting of a partially immersed compliant rod. United States: N. p., 2016. Web. doi:10.1063/1.4967796.
Hui, Chung-Yuen, & Jagota, Anand. Wetting of a partially immersed compliant rod. United States. https://doi.org/10.1063/1.4967796
Hui, Chung-Yuen, and Jagota, Anand. Thu . "Wetting of a partially immersed compliant rod". United States. https://doi.org/10.1063/1.4967796. https://www.osti.gov/servlets/purl/1465121.
@article{osti_1465121,
title = {Wetting of a partially immersed compliant rod},
author = {Hui, Chung-Yuen and Jagota, Anand},
abstractNote = {The force on a solid rod partially immersed in a liquid is commonly used to determine the liquid-vapor surface tension by equating the measured force required to remove the rod from the liquid to the vertical component of the liquid-vapor surface tension. Here, we study how this process is affected when the rod is compliant. For equilibrium, we enforce force and configurational energy balance, including contributions from elastic energy. We show that, in general, the contact angle does not equal that given by Young's equation. If surface stresses are tensile, the strain in the immersed part of the rod is found to be compressive and to depend only on the solid-liquid surface stress. The strain in the dry part of the rod can be either tensile or compressive, depending on a combination of parameters that we identify. We provide results for compliant plates partially immersed in a liquid under plane strain and plane stress. Our results can also be used to extract solid surface stresses from such experiments.},
doi = {10.1063/1.4967796},
journal = {Journal of Applied Physics},
number = 19,
volume = 120,
place = {United States},
year = {Thu Nov 17 00:00:00 EST 2016},
month = {Thu Nov 17 00:00:00 EST 2016}
}

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Works referenced in this record:

Substrate elastic deformation due to vertical component of liquid-vapor interfacial tension
journal, August 2012


Deformation near a liquid contact line on an elastic substrate
journal, July 2014

  • Hui, Chung-Yuen; Jagota, Anand
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 470, Issue 2167
  • DOI: 10.1098/rspa.2014.0085

Universal Deformation of Soft Substrates Near a Contact Line and the Direct Measurement of Solid Surface Stresses
journal, February 2013


Polymeric Droplets on Soft Surfaces: From Neumann’s Triangle to Young’s Law
journal, January 2015

  • Cao, Zhen; Dobrynin, Andrey V.
  • Macromolecules, Vol. 48, Issue 2
  • DOI: 10.1021/ma501672p

Elastocapillary deformations on partially-wetting substrates: rival contact-line models
journal, January 2014

  • Bostwick, Joshua B.; Shearer, Michael; Daniels, Karen E.
  • Soft Matter, Vol. 10, Issue 37
  • DOI: 10.1039/C4SM00891J

Capillary Pressure and Contact Line Force on a Soft Solid
journal, February 2012


Elasto-capillarity: deforming an elastic structure with a liquid droplet
journal, November 2010


Contact angles of liquids at deformable solid surfaces
journal, August 1961


Contact Angles on a Soft Solid: From Young’s Law to Neumann’s Law
journal, December 2012


III. An essay on the cohesion of fluids
journal, January 1805

  • Young, Thomas
  • Philosophical Transactions of the Royal Society of London, Vol. 95, p. 65-87
  • DOI: 10.1098/rstl.1805.0005

Soft beams: When capillarity induces axial compression
journal, January 2014


Deformation of an Elastic Substrate by a Three-Phase Contact Line
journal, May 2011


Contact Angles and Hysteresis on Soft Surfaces
journal, December 1996

  • Extrand, C. W.; Kumagai, Y.
  • Journal of Colloid and Interface Science, Vol. 184, Issue 1
  • DOI: 10.1006/jcis.1996.0611

A liquid contact line receding on a soft gel surface: dip-coating geometry investigation
journal, January 2014

  • Kajiya, Tadashi; Brunet, Philippe; Royon, Laurent
  • Soft Matter, Vol. 10, Issue 44
  • DOI: 10.1039/C4SM01609B

Visualization of asymmetric wetting ridges on soft solids with X-ray microscopy
journal, July 2014

  • Park, Su Ji; Weon, Byung Mook; Lee, Ji San
  • Nature Communications, Vol. 5, Issue 1
  • DOI: 10.1038/ncomms5369

Viscoelastic effects in the spreading of liquids
journal, February 1996

  • Carré, Alain; Gastel, Jean-Claude; Shanahan, Martin E. R.
  • Nature, Vol. 379, Issue 6564
  • DOI: 10.1038/379432a0

Elasto-capillarity at the nanoscale: on the coupling between elasticity and surface energy in soft solids
journal, January 2013

  • Weijs, Joost H.; Andreotti, Bruno; Snoeijer, Jacco H.
  • Soft Matter, Vol. 9, Issue 35
  • DOI: 10.1039/c3sm50861g

Solid surface tension measured by a liquid drop under a solid film
journal, June 2013

  • Nadermann, N.; Hui, C. -Y.; Jagota, A.
  • Proceedings of the National Academy of Sciences, Vol. 110, Issue 26
  • DOI: 10.1073/pnas.1304587110

Capillarity Driven Instability of a Soft Solid
journal, November 2010


Europe and the USSR
journal, March 1975


Works referencing / citing this record:

Surface energy of strained amorphous solids
journal, March 2018


Surface energy of strained amorphous solids
text, January 2017