Maximum droplet volume on cylindrical surfaces
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866917169671962624 |
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| author | Zhang, Yi Tambe, Apurav Pan, Zhao |
| author_facet | Zhang, Yi Tambe, Apurav Pan, Zhao |
| contents | The maximum volume ($Ω$) of a droplet that can remain attached to a horizontal fiber defines the stability limit of droplet-fiber interactions, phenomena common in nature and critical to diverse engineering applications. Existing predictive models for $Ω$ show limitations in accurately capturing the dependence of $Ω$ on fiber size and wettability. To address this gap, we systematically investigate $Ω$ on a horizontal fiber through numerical simulations and experiments. A comprehensive semi-empirical model for $Ω$ is developed and validated against both experimental measurements and reference simulations. This model establishes a new scaling under which the normalized maximum droplet volume depends solely on the contact angle and remains valid across a wide spectrum from a sub-millimeter thin fiber to the flat-surface limit, regardless of the diverse morphologies that droplets exhibit. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_21646 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Maximum droplet volume on cylindrical surfaces Zhang, Yi Tambe, Apurav Pan, Zhao Fluid Dynamics The maximum volume ($Ω$) of a droplet that can remain attached to a horizontal fiber defines the stability limit of droplet-fiber interactions, phenomena common in nature and critical to diverse engineering applications. Existing predictive models for $Ω$ show limitations in accurately capturing the dependence of $Ω$ on fiber size and wettability. To address this gap, we systematically investigate $Ω$ on a horizontal fiber through numerical simulations and experiments. A comprehensive semi-empirical model for $Ω$ is developed and validated against both experimental measurements and reference simulations. This model establishes a new scaling under which the normalized maximum droplet volume depends solely on the contact angle and remains valid across a wide spectrum from a sub-millimeter thin fiber to the flat-surface limit, regardless of the diverse morphologies that droplets exhibit. |
| title | Maximum droplet volume on cylindrical surfaces |
| topic | Fluid Dynamics |
| url | https://arxiv.org/abs/2512.21646 |