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Wetting in 1+1 dimensions with two-scale roughness

Author

Listed:
  • de Coninck, Joël
  • Dunlop, François
  • Huillet, Thierry

Abstract

We show that a two-scale model in 1+1 dimensions enhances superhydrophobicity. The two scales may differ by a factor of order two or three, or by a large factor in a scaling limit. In both cases, we compute explicitly the macroscopic contact angles as function of the flat material contact angle and aspect ratios. In addition to the Cassie–Baxter states with air cushion below the droplet and to the Wenzel states, completely wet, there appear several mixed states with air trapped in corners.

Suggested Citation

  • de Coninck, Joël & Dunlop, François & Huillet, Thierry, 2015. "Wetting in 1+1 dimensions with two-scale roughness," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 438(C), pages 398-415.
  • Handle: RePEc:eee:phsmap:v:438:y:2015:i:c:p:398-415
    DOI: 10.1016/j.physa.2015.06.030
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    Cited by:

    1. De Coninck, Joël & Dunlop, François & Huillet, Thierry, 2021. "Composite states of wetting," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 571(C).

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