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Title: Wetting of a partially immersed compliant rod

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:
Grant/Contract Number:
FG02-07ER46463
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)
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
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
OSTI Identifier:
1465121
Alternate Identifier(s):
OSTI ID: 1332586

Hui, Chung-Yuen, and Jagota, Anand. Wetting of a partially immersed compliant rod. United States: N. p., Web. doi:10.1063/1.4967796.
Hui, Chung-Yuen, & Jagota, Anand. Wetting of a partially immersed compliant rod. United States. doi:10.1063/1.4967796.
Hui, Chung-Yuen, and Jagota, Anand. 2016. "Wetting of a partially immersed compliant rod". United States. doi: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 = {2016},
month = {11}
}