Droplet detachment force and its relation to Young-Dupre adhesion.
basic_science · Level V
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- Record sourced from PubMed, PMID 37877408.
- Also identified by DOI 10.1039/d3sm01178j.
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Abstract
Droplets adhere to surfaces due to their surface tension <i>γ</i> and understanding the vertical force <i>F</i><sub>d</sub> required to detach the droplet is key to many technologies (<i>e.g.</i>, inkjet printing, optimal paint formulations). Here, we predicted <i>F</i><sub>d</sub> 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 <i>vs.</i> body forces with |<i>F</i><sub>d</sub>| ranging from nano- to milli-newtons, droplet radii <i>R</i> ranging from tens of microns to several millimetres, and for various surfaces (micro-/nano-structured superhydrophobic <i>vs.</i> lubricated surfaces). Finally, we derive an analytic solution for <i>F</i><sub>d</sub> on highly hydrophobic surfaces and further show that for receding contact angle <i>θ</i><sub>r</sub> > 140°, the normalized <i>F</i><sub>d</sub>/π<i>R</i> is equivalent to the Young-Dupre work of adhesion <i>γ</i>(1 + cos <i>θ</i><sub>r</sub>).