Droplet detachment force and its relation to Young-Dupre adhesion

Dan Daniel*, Xue Qi Koh

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

Droplets adhere to surfaces due to their surface tension γ and understanding the vertical force Fd required to detach the droplet is key to many technologies (e.g., inkjet printing, optimal paint formulations). Here, we predicted Fd on different surfaces by numerically solving the Young-Laplace equation. Our numerical results are consistent with previously reported results for a wide range of experimental conditions: droplets subjected to surface vs. body forces with |Fd| ranging from nano- to milli-newtons, droplet radii R ranging from tens of microns to several millimetres, and for various surfaces (micro-/nano-structured superhydrophobic vs. lubricated surfaces). Finally, we derive an analytic solution for Fd on highly hydrophobic surfaces and further show that for receding contact angle θr > 140°, the normalized Fd/πR is equivalent to the Young-Dupre work of adhesion γ(1 + cos θr).

Original languageEnglish (US)
Pages (from-to)8434-8439
Number of pages6
JournalSoft matter
Volume19
Issue number43
DOIs
StatePublished - Oct 20 2023

Bibliographical note

Publisher Copyright:
© 2023 The Royal Society of Chemistry.

ASJC Scopus subject areas

  • General Chemistry
  • Condensed Matter Physics

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