Droplet detachment force and its relation to Young-Dupre adhesion

Dan Daniel; Xue Qi Koh

doi:10.1039/d3sm01178j

Droplet detachment force and its relation to Young-Dupre adhesion

Dan Daniel^*, Xue Qi Koh

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

Droplets adhere to surfaces due to their surface tension γ and understanding the vertical force F_d required to detach the droplet is key to many technologies (e.g., inkjet printing, optimal paint formulations). Here, we predicted F_d 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 |F_d| 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 F_d on highly hydrophobic surfaces and further show that for receding contact angle θ_r > 140°, the normalized F_d/πR is equivalent to the Young-Dupre work of adhesion γ(1 + cos θ_r).

Original language	English (US)
Pages (from-to)	8434-8439
Number of pages	6
Journal	Soft matter
Volume	19
Issue number	43
DOIs	https://doi.org/10.1039/d3sm01178j
State	Published - Oct 20 2023

ASJC Scopus subject areas

General Chemistry
Condensed Matter Physics

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10.1039/d3sm01178j

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title = "Droplet detachment force and its relation to Young-Dupre adhesion",

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).",

author = "Dan Daniel and Koh, {Xue Qi}",

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doi = "10.1039/d3sm01178j",

language = "English (US)",

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AU - Koh, Xue Qi

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AB - 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).

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Droplet detachment force and its relation to Young-Dupre adhesion

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