Droplet at the Corner of a V-Shaped Fiber
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866916953231196160 |
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| author | Zhang, Yi Tambe, Apurav Pan, Zhao |
| author_facet | Zhang, Yi Tambe, Apurav Pan, Zhao |
| contents | A fundamental question in the physics of droplet--fiber interactions is: What is the maximum droplet volume a fiber can retain? While this problem has been studied for horizontal fibers and at the apex $Λ$-shaped bent fibers, it remains less explored for V-shaped bent fibers, despite their demonstrated advantages in engineering applications such as fog harvesting. This work investigates the capability of V-shaped fibers in retaining droplets against gravity. An analytical model to predict the maximum droplet volume on V-shaped fibers is developed based on free energy analysis, and validated against experimental data from five liquid--fiber pairs. The dependence of the maximum droplet volume on $α$ can be reasonably captured by the function $\cosβ/\cos\left(β-α/2\right)$, where $β$ denotes the droplet's off-axis angle. As $α$ increases from $0^\circ$ to $180^\circ$, the maximum droplet volume slightly decreases before entering a broad transition region around $α\approx 40^\circ$--$100^\circ$, and then increases at larger $α$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_13632 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Droplet at the Corner of a V-Shaped Fiber Zhang, Yi Tambe, Apurav Pan, Zhao Fluid Dynamics A fundamental question in the physics of droplet--fiber interactions is: What is the maximum droplet volume a fiber can retain? While this problem has been studied for horizontal fibers and at the apex $Λ$-shaped bent fibers, it remains less explored for V-shaped bent fibers, despite their demonstrated advantages in engineering applications such as fog harvesting. This work investigates the capability of V-shaped fibers in retaining droplets against gravity. An analytical model to predict the maximum droplet volume on V-shaped fibers is developed based on free energy analysis, and validated against experimental data from five liquid--fiber pairs. The dependence of the maximum droplet volume on $α$ can be reasonably captured by the function $\cosβ/\cos\left(β-α/2\right)$, where $β$ denotes the droplet's off-axis angle. As $α$ increases from $0^\circ$ to $180^\circ$, the maximum droplet volume slightly decreases before entering a broad transition region around $α\approx 40^\circ$--$100^\circ$, and then increases at larger $α$. |
| title | Droplet at the Corner of a V-Shaped Fiber |
| topic | Fluid Dynamics |
| url | https://arxiv.org/abs/2509.13632 |