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Bridging-droplet transfer from solid to porous surfaces

Published online by Cambridge University Press:  29 September 2022

Kevin R. Murphy
Affiliation:
Department of Biomedical Engineering and Mechanics, Virginia Tech, Blacksburg, VA 24061, USA
Jonathan B. Boreyko*
Affiliation:
Department of Mechanical Engineering, Virginia Tech, Blacksburg, VA 24061, USA
*
Email address for correspondence: [email protected]

Abstract

When the top of a sessile droplet is contacted by an opposing solid surface, the droplet can transfer depending on the wettabilities and relative velocity of the surfaces. What if the surface receiving the liquid was porous? High-speed imaging was used to capture the transfer of a droplet from a solid substrate to an opposing porous surface. The parameters that were varied include the wettability of the donor substrate, the pore size of the receiving surface and the droplet's volume and working fluid. Generally, the transfer process is split into two sequential regimes, wetting and wicking, with wicking being three orders of magnitude longer than wetting on average. The wetting regime is split into two sub-regimes, the donor-independent and donor-dependent regimes. The donor-independent regime follows the dynamics of droplet coalescence, starting in a mass-limited viscous regime followed by a capillary–inertial regime. The donor-dependent regime is driven by a global change in Laplace pressure across the liquid bridge, with the viscous wedge of the receding contact line being the rate-limiting factor. The wicking regime is governed by Darcy's law, completing the transfer process of the droplet.

Type
JFM Papers
Copyright
© The Author(s), 2022. Published by Cambridge University Press

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References

Alleborn, N. & Raszillier, H. 2004 Spreading and sorption of a droplet on a porous substrate. Chem. Engng Sci. 59, 20712088.CrossRefGoogle Scholar
Bear, J. 1988 Dynamics of Flow in Porous Media. Dover Publications.Google Scholar
Biance, A.-L., Clanet, C. & Quéré, D. 2004 First steps in the spreading of a liquid droplet. Phys. Rev. E 69, 016301.CrossRefGoogle ScholarPubMed
Boreyko, J.B., Polizos, G., Datskos, P.G., Sarles, S.A. & Collier, C.P. 2014 Air-stable droplet interface bilayers on oil-infused surfaces. Proc. Natl Acad. Sci. USA 111, 75887593.CrossRefGoogle ScholarPubMed
Boreyko, J.B., Srijanto, B.R., Nguyen, T.D., Vega, C., Fuentes-Cabrera, M. & Collier, C.P. 2013 Dynamic defrosting on nanostructured superhydrophobic surfaces. Langmuir 29, 95169524.CrossRefGoogle ScholarPubMed
Chen, H., Amirfazli, A. & Tang, T. 2013 Modeling liquid bridge between surfaces with contact angle hysteresis. Langmuir 29, 33103319.CrossRefGoogle ScholarPubMed
Chen, H., Tang, T. & Amirfazli, A. 2014 Liquid transfer mechanism between two surfaces and the role of contact angles. Soft Matter 10, 25032507.CrossRefGoogle ScholarPubMed
Chen, H., Tang, T. & Amirfazli, A. 2015 Fast liquid transfer between surfaces: breakup of stretched liquid bridges. Langmuir 31, 1147011476.CrossRefGoogle ScholarPubMed
Chen, H., Tang, T., Zhao, H., Law, K.-Y. & Amirfazli, A. 2016 How pinning and contact angle hysteresis govern quasi-static liquid drop transfer. Soft Matter 12, 19982008.CrossRefGoogle ScholarPubMed
Daniel, D., Timonen, J.V.I., Li, R., Velling, S.J. & Aizenberg, J. 2017 Oleoplaning droplets on lubricated surfaces. Nat. Phys. 13, 10201025.CrossRefGoogle Scholar
Edalatpour, M., Murphy, K.R., Mukherjee, R. & Boreyko, J.B. 2020 Bridging-droplet thermal diodes. Adv. Funct. Mater. 30, 2004451.CrossRefGoogle Scholar
Eggers, J., Lister, J.R. & Stone, H.A. 1999 Coalescence of liquid drops. J. Fluid Mech. 401, 293310.CrossRefGoogle Scholar
Frank, X. & Perré, P. 2012 Droplet spreading on a porous surface: a lattice Boltzmann study. Phys. Fluids 24, 042101.CrossRefGoogle Scholar
Fu, F., Li, P., Wang, K. & Wu, R. 2019 Numerical simulation of sessile droplet spreading and penetration on porous substrates. Langmuir 35, 29172924.CrossRefGoogle ScholarPubMed
Gat, A.D., Navaz, H.K. & Gharib, M. 2012 Wicking of a liquid bridge connected to a moving porous surface. J. Fluid Mech. 703, 315325.CrossRefGoogle Scholar
Gruener, S., Hofmann, T., Wallacher, D., Kityk, A.V. & Huber, P. 2009 Capillary rise of water in hydrophilic nanopores. Phys. Rev. E 79, 067301.CrossRefGoogle ScholarPubMed
Keiser, A., Keiser, L., Clanet, C. & Quéré, D. 2017 Drop friction on liquid-infused materials. Soft Matter 13, 69816987.CrossRefGoogle ScholarPubMed
Kim, S.J., Fezzaa, K., An, J., Sun, T. & Jung, S. 2017 Capillary spreading of contact line over a sinking sphere. Appl. Phys. Lett. 111, 134102.CrossRefGoogle Scholar
Koukoravas, T.P., Damoulakis, G. & Megaridis, C.M. 2020 Experimental investigation of a vapor chamber featuring wettability-patterned surfaces. Appl. Therm. Engng 178, 115522.CrossRefGoogle Scholar
Martínez, I. & Perales, J.M. 1986 Liquid bridge stability data. J. Cryst. Growth 78, 369378.CrossRefGoogle Scholar
Miljkovic, N., Enright, R. & Wang, E.N. 2012 Effect of droplet morphology on growth dynamics and heat transfer during condensation on superhydrophobic nanostructured surfaces. ACS Nano 6, 17761785.CrossRefGoogle ScholarPubMed
Mitra, S. & Mitra, S.K. 2016 Understanding the early regime of drop spreading. Langmuir 32, 88438848.CrossRefGoogle ScholarPubMed
Paulsen, J.D., Burton, J.C. & Nagel, S.R. 2011 Viscous to inertial crossover in liquid drop coalescence. Phys. Rev. Lett. 106, 114501.CrossRefGoogle ScholarPubMed
Paulsen, J.D., Burton, J.C., Nagel, S.R., Appathurai, S., Harris, M.T. & Basaran, O.A. 2012 The inexorable resistance of inertia determines the initial regime of drop coalescence. Proc. Natl Acad. Sci. USA 109, 68576861.CrossRefGoogle ScholarPubMed
Paulsen, J.D., Carmigniani, R., Kannan, A., Burton, J.C. & Nagel, S.R. 2013 Coalsecence of bubbles and drops in an outer fluid. Nat. Commun. 5, 3182.CrossRefGoogle Scholar
Qian, B. & Breuer, K.S. 2011 The motion, stability and breakup of a stretching liquid bridge with a receding contact line. J. Fluid Mech. 666, 554572.CrossRefGoogle Scholar
Snoeijer, J.H. & Andreotti, B. 2013 Moving contact lines: scales, regimes, and dynamical transitions. Annu. Rev. Fluid Mech. 45, 269292.CrossRefGoogle Scholar
Yan, X., et al. 2022 Microscale confinement and wetting contrast enable enhanced and tunable condensation. ACS Nano 16, 95109522.CrossRefGoogle Scholar

Murphy and Boreyko Supplementary Movie 1

Bridging-droplet transfer corresponding to Fig. 2. The videos capture both the wetting and wicking regimes. Donor wettability is varied. Small flakes can be seen falling from the porous surface which we suspect to be microscopic pieces of the ceramic dislodged by the wetting process.

Download Murphy and Boreyko Supplementary Movie 1(Video)
Video 5.5 MB

Murphy and Boreyko Supplementary Movie 2

Bridging-droplet transfer corresponding to Fig. 2. These videos focus on the wetting regime, using a higher frame rate which necessitates a lower exposure and therefore darker videos.

Download Murphy and Boreyko Supplementary Movie 2(Video)
Video 2.1 MB

Murphy and Boreyko Supplementary Movie 3

Bridging-droplet transfer corresponding to Fig. 3, for varying working fluid, volume, and pore radius. The videos capture both the wetting and wicking regimes.

Download Murphy and Boreyko Supplementary Movie 3(Video)
Video 11.7 MB

Murphy and Boreyko Supplementary Movie 4

Bridging-droplet transfer corresponding to Fig. 3. These videos focus on the wetting regime, using a higher frame rate which necessitates a lower exposure and therefore darker videos. We do not show the video corresponding to Fig. 3d, as varying the pore radius does not appreciably affect the wetting regime by itself.

Download Murphy and Boreyko Supplementary Movie 4(Video)
Video 9.9 MB
Supplementary material: PDF

Murphy and Boreyko Supplementary Material

Murphy and Boreyko Supplementary Material

Download Murphy and Boreyko Supplementary Material(PDF)
PDF 261 KB