Nearly-zero contact angle hysteresis on lubricated surfaces. Dan Daniel, IMRE, A*STAR
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1 Nearly-zero contact angle hysteresis on lubricated surfaces Dan Daniel, IMRE, A*STAR
2 mm
3 Oleoplaning droplets on lubricated surfaces lubricant film lubricant film
4 2011 Lubricated repels blood and crude oil
5 2005 Slippery composite surface that is hemi-solid, hemi-liquid with non-measurable contact angle-hysteresis.
6 2005 Slippery composite surface that is hemi-solid, hemi-liquid with non-measurable contact angle-hysteresis. Lubricated surfaces, a rose by any other name SLIPS, LIS, Slippery pre-suffused surfaces, LubiSS
7 Outline Static: droplet shape and geometry Dynamic: oleoplaning droplet with nearly-zero hysteresis Comparison with lotus-effect surface Thoughts/Open questions
8 Static droplet: contact angle θ app θ app ~ 100 ο for water
9 Static droplet: contact angle no cloaking with cloaking θ app θ app ~ 100 ο for water γ l < γ lο + γ ο γ l > γ lο + γ ο
10 Static droplet: contact angle no cloaking with cloaking θ app θ app ~ 100 ο for water γ l < γ lο + γ ο γ l > γ lο + γ ο Modified Young s Equation cos θ app = (γ ο γ lο )/ γ eff γ eff = γ l or γ lο + γ o no/with cloaking
11 Static droplet: contact angle no cloaking with cloaking θ app θ app ~ 100 ο for water γ l < γ lο + γ ο γ l > γ lο + γ ο Modified Young s Equation cos θ app = (γ ο γ lο )/ γ eff γ eff = γ l or γ lο + γ o no/with cloaking Independent of micro-/nano-structures
12 Static droplet: contact angle Data from Wong et al, Nature, 2011 Schellenberger et al, Soft Matter, 2015
13 Static droplet: contact angle no cloaking with cloaking Data from Wong et al, Nature, 2011 Schellenberger et al, Soft Matter, 2015
14 Static droplet: nm lubricant film γ sl > γ so + γ lo and repulsive A > 0 l o s thin film interference
15 Static droplet: nm lubricant film γ sl > γ so + γ lo and repulsive A > 0 r ext r int thin film interference low pressure in ridge ΔP γ o /r ext γ lo /r int
16 Static droplet: nm lubricant film γ sl > γ so + γ lo and repulsive A > 0 25 nm r ext r int thin film interference low pressure in ridge ΔP γ o /r ext γ lo /r int balanced by Π A/6πh 3 Disjoining pressure h ~ (r A/ γ) 1/3 tens of nm
17 Static droplet: nm lubricant film on top of posts speed 4x nm film 40 um film thickness set by post heights no contact line pinning
18 Comparison with lotus-effect surfaces speed 4x 50 um air film instead of lubricant film with contact line pinning
19 Droplet oleoplanes with Landau-Levich film static dynamic U r int r ext h LLD ~ nm film ~ um film h LLD ~ r int (ηu/γ lo ) 2/3 = r int Ca 2/3
20 Droplet oleoplanes with Landau-Levich film static dynamic U r int r ext h LLD ~ nm film ~ um film h LLD ~ r int (ηu/γ lo ) 2/3 = r int Ca 2/3 = (γ lo / γ o ) r ext Ca 2/3
21 Droplet oleoplanes with Landau-Levich film static dynamic U r int r ext h LLD h = h p h > h p h LLD ~ r int (ηu/γ lo ) 2/3 = r int Ca 2/3 = (γ lo / γ o ) r ext Ca 2/3
22 Droplet oleoplanes with Landau-Levich film stationary h film = h p moving h film = h LLD 0.1 mm stop motion h film à h p
23 Droplet oleoplanes with Landau-Levich film dynamic r int U Viscous dissipation in transition region l ~ r int Ca 1/3 F ~ η o U/h LLD (2a l ) = 2aγ lo Ca 2/3 h LLD l
24 Droplet oleoplanes with Landau-Levich film dynamic r int U Viscous dissipation in transition region l ~ r int Ca 1/3 F ~ η o U/h LLD (2a l ) = 2aγ lo Ca 2/3 h LLD l Viscous dissipation in wetting ridge (Tanner s law) θ w θ w ~ Ca 1/3 F ~ (η o U / θ w ) 2a = 2aγ o Ca 2/3 Keiser et al, Soft Matter, 2017
25 Custom-built force sensor to measure dissipation force F = k Δx 2 μl droplet, U = 0.3 mm/s U Δx
26 Contact angle hystersis Δcos θ ~ Ca 2/3 F ~ η o U/h LLD (2a l ) = 2aγ lo Ca 2/3 F/2aγ Ca
27 Contact angle hystersis Δcos θ ~ Ca 2/3 F ~ η o U/h LLD (2a l ) = 2aγ lo Ca 2/3 F/2aγ Δcos θ = F/ 2aγ l = (γ lo / γ l ) F/ 2aγ lo ~ Ca 2/3 Ca
28 Contact angle hystersis Δcos θ ~ Ca 2/3 F ~ η o U/h LLD (2a l ) = 2aγ lo Ca 2/3 F/2aγ Δcos θ = F/ 2aγ l = (γ lo / γ l ) F/ 2aγ lo ~ Ca 2/3 Ca Δcos θ à 0, Ca à 0 Nearly zero hysteresis No contact line pinning
29 Custom-built force sensor currently at IMRE, A*STAR light camera Interference Microscopy vibration-free
30 Comparison with lotus-effect surfaces
31 Contact line pinning on lotus-effect surface 100 um
32 Contact line pinning on lotus-effect surface
33 Micro-droplets after breakup of capillary bridges
34 F independent of U for lotus-effect surfaces
35 F independent of U for lotus-effect surfaces Δcos θ > 0, Ca à 0 finite hysteresis
36 Results presented can be found in D. Daniel, J.V.I Timonen, R. Li, S.J. Velling and J. Aizenberg Oleoplaning droplets on lubricated surfaces Nat. Phys D. Daniel +, J.V.I Timonen, R. Li, S.J. Velling, M.J. Kreder, A. Tetreault and J. Aizenberg + Origins of extreme liquid repellency on structured, flat, and lubricated surfaces in revision to Phys. Rev. Lett. (and ArXiv) + co-corresponding authors M.J. Kreder*, D. Daniel*, A. Tetreault, Z. Cao, B. Lemaire, J.V.I Timonen and J. Aizenberg Film dynamics and lubricant depletion by droplets moving on lubricated surfaces in revision to Phys. Rev. X *co-first authors
37 Useful literature A. Keiser, L. Keiser, C. Clanet and D. Quere Drop friction on liquid infused surfaces Soft Matter 2017 M. Tress, S. Karpitschka, P. Papadopoulos, J. H. Snoeijer, D. Vollmer and H.-J. Butt Shape of a sessile drop on a flat surface covered with a liquid film Soft Matter 2017 F. Schellenberger et al Direct observation of drops on slippery lubricant-infused surfaces Soft Matter 2015 J. D. Smith et al Droplet mobility on lubricant-impregnated surfaces Soft Matter 2013 A. Lafuma and D. Quere Slippery pre-suffused surfaces. Euro. Phys. Lett. 2011
38 Thoughts and open questions
39 Contact angle hysteresis for high Ca our work Keiser et al, 2017 Keiser et al, Soft Matter, 2017
40 Contact angle hysteresis for different initial film thicknesses 3.0 Dissipa0ve force for different lubricant heights 0.5 μm F d (μn) h = 0.5 um 0.5 h = 3 um h = 6 um U (mm/s) 3 μm 6 μm Δcos θ ~ Ca 2/3 independent of initial h for thick micron-film
41 Contact angle hysteresis for different initial film thicknesses 3.0 Dissipa0ve force for different lubricant heights 0.5 μm F d (μn) h = 0.5 um 0.5 h = 3 um h = 6 um U (mm/s) 3 μm 6 μm Δcos θ ~ Ca 2/3 independent of initial h for thin nano-film?
42 Contact angle hysteresis for structured surfaces with thin nano-film? Dai et al, ACS Nano, 2015 Slippery Wenzel State
43 Thanks to Prof. J. Aizenberg M. J. Aizenberg Prof. J. V. I. Timonen Prof. Bob. E Cohen Prof. Paul V. Braun R. Li S. J. Velling A. Tetreault
44 I can be contacted at
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