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Title: Film Dynamics and Lubricant Depletion by Droplets Moving on Lubricated Surfaces

Abstract

Lubricated surfaces have shown promise in numerous applications where impinging foreign droplets must be removed easily; however, before they can be widely adopted, the problem of lubricant depletion, which eventually leads to decreased performance, must be solved. Despite recent progress, a quantitative mechanistic explanation for lubricant depletion is still lacking. Here, we first explain the shape of a droplet on a lubricated surface by balancing the Laplace pressures across interfaces. We then show that the lubricant film thicknesses beneath, behind, and wrapping around a moving droplet change dynamically with the droplet’s speed—analogous to the classical Landau-Levich-Derjaguin problem. The interconnected lubricant dynamics results in the growth of the wetting ridge around the droplet, which is the dominant source of lubricant depletion. We then develop an analytic expression for the maximum amount of lubricant that can be depleted by a single droplet. Counterintuitively, faster-moving droplets subjected to higher driving forces deplete less lubricant than their slower-moving counterparts. The insights developed in this work will inform future work and the design of longer-lasting lubricated surfaces.

Authors:
; ; ; ; ; ;
Publication Date:
Research Org.:
Harvard Univ., Cambridge, MA (United States)
Sponsoring Org.:
USDOE Advanced Research Projects Agency - Energy (ARPA-E)
OSTI Identifier:
1468503
Alternate Identifier(s):
OSTI ID: 1499098
Grant/Contract Number:  
[AR0000326]
Resource Type:
Published Article
Journal Name:
Physical Review. X
Additional Journal Information:
[Journal Name: Physical Review. X Journal Volume: 8 Journal Issue: 3]; Journal ID: ISSN 2160-3308
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 42 ENGINEERING

Citation Formats

Kreder, Michael J., Daniel, Dan, Tetreault, Adam, Cao, Zhenle, Lemaire, Baptiste, Timonen, Jaakko V. I., and Aizenberg, Joanna. Film Dynamics and Lubricant Depletion by Droplets Moving on Lubricated Surfaces. United States: N. p., 2018. Web. doi:10.1103/PhysRevX.8.031053.
Kreder, Michael J., Daniel, Dan, Tetreault, Adam, Cao, Zhenle, Lemaire, Baptiste, Timonen, Jaakko V. I., & Aizenberg, Joanna. Film Dynamics and Lubricant Depletion by Droplets Moving on Lubricated Surfaces. United States. doi:10.1103/PhysRevX.8.031053.
Kreder, Michael J., Daniel, Dan, Tetreault, Adam, Cao, Zhenle, Lemaire, Baptiste, Timonen, Jaakko V. I., and Aizenberg, Joanna. Tue . "Film Dynamics and Lubricant Depletion by Droplets Moving on Lubricated Surfaces". United States. doi:10.1103/PhysRevX.8.031053.
@article{osti_1468503,
title = {Film Dynamics and Lubricant Depletion by Droplets Moving on Lubricated Surfaces},
author = {Kreder, Michael J. and Daniel, Dan and Tetreault, Adam and Cao, Zhenle and Lemaire, Baptiste and Timonen, Jaakko V. I. and Aizenberg, Joanna},
abstractNote = {Lubricated surfaces have shown promise in numerous applications where impinging foreign droplets must be removed easily; however, before they can be widely adopted, the problem of lubricant depletion, which eventually leads to decreased performance, must be solved. Despite recent progress, a quantitative mechanistic explanation for lubricant depletion is still lacking. Here, we first explain the shape of a droplet on a lubricated surface by balancing the Laplace pressures across interfaces. We then show that the lubricant film thicknesses beneath, behind, and wrapping around a moving droplet change dynamically with the droplet’s speed—analogous to the classical Landau-Levich-Derjaguin problem. The interconnected lubricant dynamics results in the growth of the wetting ridge around the droplet, which is the dominant source of lubricant depletion. We then develop an analytic expression for the maximum amount of lubricant that can be depleted by a single droplet. Counterintuitively, faster-moving droplets subjected to higher driving forces deplete less lubricant than their slower-moving counterparts. The insights developed in this work will inform future work and the design of longer-lasting lubricated surfaces.},
doi = {10.1103/PhysRevX.8.031053},
journal = {Physical Review. X},
number = [3],
volume = [8],
place = {United States},
year = {2018},
month = {9}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevX.8.031053

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Cited by: 10 works
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