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arXiv · 2006.13578

Universality of capillary rising in corners

Jiajia Zhou·Masao Doi
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Abstract

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.

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Jiajia Zhou, Masao Doi. 2020-06-24. Universality of capillary rising in corners. https://doi.org/10.1017/jfm.2020.531

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