Universality of capillary rising in corners
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2020
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| _version_ | 1866908715594022912 |
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| author | Zhou, Jiajia Doi, Masao |
| author_facet | Zhou, Jiajia Doi, Masao |
| contents | We study the dynamics of capillary rising in corners. Using Onsager principle, we derive a partial differential equation that describes the time evolution of meniscus profile. We obtain both numerical solutions and self-similar solutions to this partial differential equation. Our results show that the advance of the meniscus front follows a time-scaling of $t^{1/3}$, in agreement with the experimental results and theoretical conjecture of Ponomarenko et al. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2006_13578 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Universality of capillary rising in corners Zhou, Jiajia Doi, Masao Soft Condensed Matter Fluid Dynamics We study the dynamics of capillary rising in corners. Using Onsager principle, we derive a partial differential equation that describes the time evolution of meniscus profile. We obtain both numerical solutions and self-similar solutions to this partial differential equation. Our results show that the advance of the meniscus front follows a time-scaling of $t^{1/3}$, in agreement with the experimental results and theoretical conjecture of Ponomarenko et al. |
| title | Universality of capillary rising in corners |
| topic | Soft Condensed Matter Fluid Dynamics |
| url | https://arxiv.org/abs/2006.13578 |