Film Dynamics and Lubricant Depletion by Droplets Moving on Lubricated Surfaces

Kreder, Michael J.; Daniel, Dan; Tetreault, Adam; Cao, Zhenle; Lemaire, Baptiste; Timonen, Jaakko V. I.; Aizenberg, Joanna

doi:10.1103/PhysRevX.8.031053

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:: Kreder, Michael J.; Daniel, Dan; Tetreault, Adam; Cao, Zhenle; Lemaire, Baptiste; Timonen, Jaakko V. I.; Aizenberg, Joanna

Publication Date:: Tue Sep 04 00:00:00 EDT 2018

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.

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                    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.  https://doi.org/10.1103/PhysRevX.8.031053

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                    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.  https://doi.org/10.1103/PhysRevX.8.031053.

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@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         = {Tue Sep 04 00:00:00 EDT 2018},

  month        = {Tue Sep 04 00:00:00 EDT 2018}

}

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

Abstract

Citation Formats

Hierarchical or Not? Effect of the Length Scale and Hierarchy of the Surface Roughness on Omniphobicity of Lubricant-Infused Substrates journal, March 2013

Spreading of nonvolatile liquids in a continuum picture journal, February 1991

Design of anti-icing surfaces: smooth, textured or slippery? journal, January 2016

Landau–Levich menisci journal, February 2011

Dynamic polymer systems with self-regulated secretion for the control of surface properties and material healing journal, June 2015

Transparent antifouling material for improved operative field visibility in endoscopy journal, September 2016

Drop mobility on chemically heterogeneous and lubricant-impregnated surfaces journal, May 2017

Shape of a sessile drop on a flat surface covered with a liquid film journal, January 2017

The motion of long bubbles in tubes journal, March 1961

Methods to calibrate and scale axial distances in confocal microscopy as a function of refractive index: AXIAL DISTANCE MEASUREMENT IN CONFOCAL MICROSCOPY journal, December 2014

Avoided Critical Behavior in Dynamically Forced Wetting journal, May 2006

Apparent contact angle and contact angle hysteresis on liquid infused surfaces journal, January 2017

Sliding Friction on Wet and Dry Sand journal, April 2014

Liquid-Infused Nanostructured Surfaces with Extreme Anti-Ice and Anti-Frost Performance journal, June 2012

Free coating of a Newtonian liquid onto a vertical surface journal, February 1974

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

Levitation of a drop over a moving surface journal, September 2013

Direct measurements of air layer profiles under impacting droplets using high-speed color interferometry journal, February 2012

Condensation on slippery asymmetric bumps journal, February 2016

Evaporation of Sessile Droplets on Slippery Liquid-Infused Porous Surfaces (SLIPS) journal, October 2015

Boundary lubrication under water journal, November 2006

Van der Waals Forces book, January 2010

Lubrication in Antiquity journal, April 1974

Superwetting nanowire membranes for selective absorption journal, May 2008

Bioinspired self-repairing slippery surfaces with pressure-stable omniphobicity journal, September 2011

Shear-Driven Failure of Liquid-Infused Surfaces journal, April 2015

Moving Contact Lines: Scales, Regimes, and Dynamical Transitions journal, January 2013

A bioinspired omniphobic surface coating on medical devices prevents thrombosis and biofouling journal, October 2014

Delayed lubricant depletion on liquid-infused randomly rough surfaces journal, May 2016

Non-sticking drops journal, September 2005

Self-lubricating organogels (SLUGs) with exceptional syneresis-induced anti-sticking properties against viscous emulsions and ices journal, January 2015

Direct observation of drops on slippery lubricant-infused surfaces journal, January 2015

Mechanism of Frost Formation on Lubricant-Impregnated Surfaces journal, April 2013

Robust liquid-infused surfaces through patterned wettability journal, January 2015

Oleoplaning droplets on lubricated surfaces journal, June 2017

Slippery pre-suffused surfaces journal, November 2011

Drop friction on liquid-infused materials journal, January 2017

Theory of drag out of liquids on flat plates journal, January 1965

Air cushioning in droplet impact. I. Dynamics of thin films studied by dual wavelength reflection interference microscopy journal, January 2015

Hierarchical or Not? Effect of the Length Scale and Hierarchy of the Surface Roughness on Omniphobicity of Lubricant-Infused Substrates
journal, March 2013

Spreading of nonvolatile liquids in a continuum picture
journal, February 1991

Design of anti-icing surfaces: smooth, textured or slippery?
journal, January 2016

Landau–Levich menisci
journal, February 2011

Dynamic polymer systems with self-regulated secretion for the control of surface properties and material healing
journal, June 2015

Transparent antifouling material for improved operative field visibility in endoscopy
journal, September 2016

Drop mobility on chemically heterogeneous and lubricant-impregnated surfaces
journal, May 2017

Shape of a sessile drop on a flat surface covered with a liquid film
journal, January 2017

The motion of long bubbles in tubes
journal, March 1961

Methods to calibrate and scale axial distances in confocal microscopy as a function of refractive index: AXIAL DISTANCE MEASUREMENT IN CONFOCAL MICROSCOPY
journal, December 2014

Avoided Critical Behavior in Dynamically Forced Wetting
journal, May 2006

Apparent contact angle and contact angle hysteresis on liquid infused surfaces
journal, January 2017

Sliding Friction on Wet and Dry Sand
journal, April 2014

Liquid-Infused Nanostructured Surfaces with Extreme Anti-Ice and Anti-Frost Performance
journal, June 2012

Free coating of a Newtonian liquid onto a vertical surface
journal, February 1974

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

Levitation of a drop over a moving surface
journal, September 2013

Direct measurements of air layer profiles under impacting droplets using high-speed color interferometry
journal, February 2012

Condensation on slippery asymmetric bumps
journal, February 2016

Evaporation of Sessile Droplets on Slippery Liquid-Infused Porous Surfaces (SLIPS)
journal, October 2015

Boundary lubrication under water
journal, November 2006

Van der Waals Forces
book, January 2010

Lubrication in Antiquity
journal, April 1974

Superwetting nanowire membranes for selective absorption
journal, May 2008

Bioinspired self-repairing slippery surfaces with pressure-stable omniphobicity
journal, September 2011

Shear-Driven Failure of Liquid-Infused Surfaces
journal, April 2015

Moving Contact Lines: Scales, Regimes, and Dynamical Transitions
journal, January 2013

A bioinspired omniphobic surface coating on medical devices prevents thrombosis and biofouling
journal, October 2014

Delayed lubricant depletion on liquid-infused randomly rough surfaces
journal, May 2016

Non-sticking drops
journal, September 2005

Self-lubricating organogels (SLUGs) with exceptional syneresis-induced anti-sticking properties against viscous emulsions and ices
journal, January 2015

Direct observation of drops on slippery lubricant-infused surfaces
journal, January 2015

Mechanism of Frost Formation on Lubricant-Impregnated Surfaces
journal, April 2013

Robust liquid-infused surfaces through patterned wettability
journal, January 2015

Oleoplaning droplets on lubricated surfaces
journal, June 2017

Slippery pre-suffused surfaces
journal, November 2011

Drop friction on liquid-infused materials
journal, January 2017

Theory of drag out of liquids on flat plates
journal, January 1965

Air cushioning in droplet impact. I. Dynamics of thin films studied by dual wavelength reflection interference microscopy
journal, January 2015