Fluid-induced snap-through instability of spherical shells
Fuente:
arXiv
Saved in:
| Main Authors: | , , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911218875236352 |
|---|---|
| author | Ledda, Pier Giuseppe Garg, Hemanshul Østergaard-Clausen, Vitus Rudzki, Lucas Krumenacker Madary, Ahmad Pezzulla, Matteo |
| author_facet | Ledda, Pier Giuseppe Garg, Hemanshul Østergaard-Clausen, Vitus Rudzki, Lucas Krumenacker Madary, Ahmad Pezzulla, Matteo |
| contents | We study the snapping instability of a spherical elastic shell induced by a viscous flow, the umbrella flipping problem when life is at low Reynolds numbers. We combine precision desktop-scale experiments, fluid-structure simulations, shell theory, fluid mechanics, and scaling analysis to determine the instability threshold as a function of the geometrical and material parameters of the system. Building on these findings, we devise a snapping-based valve that passively and abruptly alters the hydraulic resistance of a channel, offering robust flow control without active components. Beyond the application, our study presents what we believe to be a prototypical example of fluid-induced elastic instability in viscous flow, providing a foundation for future explorations in soft hydraulics and flow-responsive structures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_12247 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fluid-induced snap-through instability of spherical shells Ledda, Pier Giuseppe Garg, Hemanshul Østergaard-Clausen, Vitus Rudzki, Lucas Krumenacker Madary, Ahmad Pezzulla, Matteo Fluid Dynamics Soft Condensed Matter We study the snapping instability of a spherical elastic shell induced by a viscous flow, the umbrella flipping problem when life is at low Reynolds numbers. We combine precision desktop-scale experiments, fluid-structure simulations, shell theory, fluid mechanics, and scaling analysis to determine the instability threshold as a function of the geometrical and material parameters of the system. Building on these findings, we devise a snapping-based valve that passively and abruptly alters the hydraulic resistance of a channel, offering robust flow control without active components. Beyond the application, our study presents what we believe to be a prototypical example of fluid-induced elastic instability in viscous flow, providing a foundation for future explorations in soft hydraulics and flow-responsive structures. |
| title | Fluid-induced snap-through instability of spherical shells |
| topic | Fluid Dynamics Soft Condensed Matter |
| url | https://arxiv.org/abs/2506.12247 |