Self-similar and Universal Dynamics in Drainage of Mobile Soap Films
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arXiv
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| Format: | Preprint |
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2024
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| author | Monier, Antoine Gauci, François-Xavier Claudet, Cyrille Celestini, Franck Brouzet, Christophe Raufaste, Christophe |
| author_facet | Monier, Antoine Gauci, François-Xavier Claudet, Cyrille Celestini, Franck Brouzet, Christophe Raufaste, Christophe |
| contents | Vertical soap films drain under the influence of gravity, as indicated by the downward motion of colorful horizontal interference fringes observed on their surfaces. In this study conducted with rectangular soap films, we experimentally characterize the descent dynamics of these isothickness fringes and report its self-similar nature. We also show that this result is equivalent to thickness profiles exhibiting a separation of space and time. By integrating new measurements with data from the literature across various conditions, we validate these properties and establish the universality of the dynamics, governed by a single physical scalar. Our findings provide new insights for proposing a drainage model and understanding the mechanism of marginal regeneration at the origin of the process. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_03931 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Self-similar and Universal Dynamics in Drainage of Mobile Soap Films Monier, Antoine Gauci, François-Xavier Claudet, Cyrille Celestini, Franck Brouzet, Christophe Raufaste, Christophe Soft Condensed Matter Fluid Dynamics Vertical soap films drain under the influence of gravity, as indicated by the downward motion of colorful horizontal interference fringes observed on their surfaces. In this study conducted with rectangular soap films, we experimentally characterize the descent dynamics of these isothickness fringes and report its self-similar nature. We also show that this result is equivalent to thickness profiles exhibiting a separation of space and time. By integrating new measurements with data from the literature across various conditions, we validate these properties and establish the universality of the dynamics, governed by a single physical scalar. Our findings provide new insights for proposing a drainage model and understanding the mechanism of marginal regeneration at the origin of the process. |
| title | Self-similar and Universal Dynamics in Drainage of Mobile Soap Films |
| topic | Soft Condensed Matter Fluid Dynamics |
| url | https://arxiv.org/abs/2401.03931 |