journal article·2025Open access

Droplets sliding on soft solids shed elastocapillary rails

Nan Xue, Lawrence A. Wilen, Robert W. Style, Eric R. Dufresne

Soft Matter· Volume 21· Issue 2

Abstract

The surface tension of partially wetting droplets deforms soft substrates. These deformations are usually localized to a narrow region near the contact line, forming a so-called 'elastocapillary ridge.' When a droplet slides along a substrate, the movement of the elastocapillary ridge dissipates energy in the substrate and slows the droplet down. Previous studies have analyzed isotropically spreading droplets and found that the advancing contact line 'surfs' the elastocapillary ridge, with a velocity determined by a local balance of capillary forces and bulk rheology. Here, we experimentally explore the dynamics of a droplet sliding across soft substrates. At low velocities, the contact line is nearly circular, and dissipation increases logarithmically with speed. At higher droplet velocities, the contact line adopts a bullet-like shape, and the drag force levels off. At the same time, droplets shed a pair of 'elastocapillary rails' that fade away slowly behind them. These results suggest that sliding along the parallel edges of a bullet-shaped droplet dissipates less energy than surfing the wetting ridges at the front and back.
Source: openalex_inverted_index · Quality: candidate unverified · Source record ↗

Research context

OpenAlex topics: Surface Modification and Superhydrophobicity · Adhesion, Friction, and Surface Interactions · Fluid Dynamics and Heat Transfer

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Department of Materials, ETH Zürich, Zürich 8093, Switzerland

Department of Materials Science and Engineering, Cornell University, Ithaca, NY, 14853, USA

Laboratory of Atomic and Solid-State Physics, Cornell University, Ithaca, NY, 14853, USA

Center for Engineering Innovation and Design, School of Engineering and Applied Sciences, Yale University, NH, 06520, USA

References (38)

Show source-provided references
1. Shanahan · Langmuir · 1994 · 10 · 164710.1021/la00018a004 ↗
2. Shanahan · Langmuir · 1995 · 11 · 139610.1021/la00004a055 ↗
3. Pericet-Cámara · Langmuir · 2008 · 24 · 1056510.1021/la801862m ↗
4. Jagota · Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. · 2012 · 85 · 05160210.1103/PhysRevE.85.051602 ↗
5. Style · Annu. Rev. Condens. Matter Phys. · 2017 · 8 · 9910.1146/annurev-conmatphys-031016-025326 ↗
6. Bardall · Eur. J. Appl. Math. · 2018 · 29 · 28110.1017/S0956792517000134 ↗
7. Andreotti · Annu. Rev. Fluid Mech. · 2020 · 52 · 28510.1146/annurev-fluid-010719-060147 ↗
8. Carré · Nature · 1996 · 379 · 43210.1038/379432a0 ↗
9. Long · Langmuir · 1996 · 12 · 522110.1021/la9604700 ↗
10. Karpitschka · Nat. Commun. · 2015 · 6 · 789110.1038/ncomms8891 ↗
11. Zhao · Proc. Natl. Acad. Sci. U. S. A. · 2018 · 115 · 174810.1073/pnas.1712562115 ↗
12. van Gorcum · Phys. Rev. Lett. · 2018 · 121 · 20800310.1103/PhysRevLett.121.208003 ↗
13. Liang · Langmuir · 2018 · 34 · 749710.1021/acs.langmuir.8b01680 ↗
14. van Gorcum · Soft Matter · 2020 · 16 · 130610.1039/C9SM01453E ↗
15. Smith-Mannschott · Phys. Rev. Lett. · 2021 · 126 · 15800410.1103/PhysRevLett.126.158004 ↗
16. Mokbel · Europhys. Lett. · 2022 · 139 · 3300210.1209/0295-5075/ac6ca6 ↗
17. Jeon · Phys. Rev. E · 2023 · 108 · 02461110.1103/PhysRevE.108.024611 ↗
18. Podgorski · Phys. Rev. Lett. · 2001 · 87 · 03610210.1103/PhysRevLett.87.036102 ↗
19. Oléron · Soft Matter · 2024 · 20 · 76210.1039/D3SM01197F ↗
20. Xu · Phys. Rev. Lett. · 2020 · 125 · 23800210.1103/PhysRevLett.125.238002 ↗
21. Khattak · Nat. Commun. · 2022 · 13 · 443610.1038/s41467-022-31910-3 ↗
22. Hourlier-Fargette · Soft Matter · 2017 · 13 · 348410.1039/C7SM00447H ↗
23. Hinduja · Soft Matter · 2024 · 20 · 334910.1039/D4SM00019F ↗
24. Dubois · Appl. Opt. · 2002 · 41 · 80510.1364/AO.41.000805 ↗
25. Voinov · Fluid Dyn. · 1976 · 11 · 71410.1007/BF01012963 ↗
26. Cox · J. Fluid Mech. · 1986 · 168 · 16910.1017/S0022112086000332 ↗
27. Qian · Phys. Rev. Lett. · 2004 · 93 · 09450110.1103/PhysRevLett.93.094501 ↗
28. Bonn · Rev. Mod. Phys. · 2009 · 81 · 73910.1103/RevModPhys.81.739 ↗
29. Snoeijer · Annu. Rev. Fluid Mech. · 2013 · 45 · 26910.1146/annurev-fluid-011212-140734 ↗
30. Xu · Nat. Commun. · 2017 · 8 · 55510.1038/s41467-017-00636-y ↗
31. Bain · Phys. Rev. Lett. · 2021 · 127 · 20800110.1103/PhysRevLett.127.208001 ↗
32. Takeda · J. Opt. Soc. Am. · 1982 · 72 · 15610.1364/JOSA.72.000156 ↗
33. Herráez · Appl. Opt. · 2002 · 41 · 743710.1364/AO.41.007437 ↗
34. M. F.Kasim , Fast 2D phase unwrapping implementation in MATLAB, 2017 , https://github.com/mfkasim91/unwrap_phase/
35. Style · Phys. Rev. Lett. · 2013 · 110 · 06610310.1103/PhysRevLett.110.066103 ↗
36. Berman · Soft Matter · 2019 · 15 · 132710.1039/C8SM02075B ↗
37. Zhao · Soft Matter · 2018 · 14 · 6110.1039/C7SM01757J ↗
38. Le Grand · J. Fluid Mech. · 2005 · 541 · 29310.1017/S0022112005006105 ↗