Coalescence of elastic blisters filled with a viscous fluid
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866909105628643328 |
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| author | Sæter, Torstein Pedersen, Christian Snoeijer, Jacco H. Salez, Thomas Carlson, Andreas |
| author_facet | Sæter, Torstein Pedersen, Christian Snoeijer, Jacco H. Salez, Thomas Carlson, Andreas |
| contents | Pockets of viscous fluid coalescing beneath an elastic plate are encountered in a wide range of natural phenomena and engineering processes, spanning across scales. As the pockets merge, a bridge is formed with a height increasing as the plate relaxes. We study the spatiotemporal dynamics of such an elasto-hydrodynamic coalescence process by combining experiments, lubrication theory and numerical simulations. The bridge height exhibits an exponential growth with time, which corresponds to a self-similar solution of the bending-driven thin-film equation. We address this unique self-similarity and the self-similar shape of the bridge, both of which are corroborated in numerical simulations and experiments. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_01774 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Coalescence of elastic blisters filled with a viscous fluid Sæter, Torstein Pedersen, Christian Snoeijer, Jacco H. Salez, Thomas Carlson, Andreas Fluid Dynamics Pockets of viscous fluid coalescing beneath an elastic plate are encountered in a wide range of natural phenomena and engineering processes, spanning across scales. As the pockets merge, a bridge is formed with a height increasing as the plate relaxes. We study the spatiotemporal dynamics of such an elasto-hydrodynamic coalescence process by combining experiments, lubrication theory and numerical simulations. The bridge height exhibits an exponential growth with time, which corresponds to a self-similar solution of the bending-driven thin-film equation. We address this unique self-similarity and the self-similar shape of the bridge, both of which are corroborated in numerical simulations and experiments. |
| title | Coalescence of elastic blisters filled with a viscous fluid |
| topic | Fluid Dynamics |
| url | https://arxiv.org/abs/2308.01774 |