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Edge-driven collapse of fluid holes

Published online by Cambridge University Press:  23 October 2023

Huanlei Zhao Open the ORCID record for Huanlei Zhao [Opens in a new window] ,
Bin Zhang Open the ORCID record for Bin Zhang [Opens in a new window]  and
Cunjing Lv Open the ORCID record for Cunjing Lv [Opens in a new window]
Huanlei Zhao
Affiliation:
Department of Engineering Mechanics, AML, Tsinghua University, 100084 Beijing, PR China
Bin Zhang
Affiliation:
Department of Engineering Mechanics, AML, Tsinghua University, 100084 Beijing, PR China
Cunjing Lv*
Affiliation:
Department of Engineering Mechanics, AML, Tsinghua University, 100084 Beijing, PR China Center for Nano and Micro Mechanics, Tsinghua University, 100084 Beijing, PR China
*
†Email address for correspondence: [email protected]
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Abstract

We study the stability and collapse of holes at the wall in liquid layers on circular bounded containers with various wettabilities. Three distinct wetting modes of the hole are observed, which are related to the wettability of the container: when the substrate and the inner wall of the container are superhydrophobic, a stable hole remains as the liquid volume is continuously increased until the liquid layer covers the entire substrate; when the substrate and the inner wall are hydrophobic, an eye-shaped hole remains stable as the projected area of the hole exceeds a critical value $A_c$, however, the hole collapses if the liquid volume is further increased; when the substrate is superhydrophobic but the wall is hydrophilic, on increasing the liquid volume, the hole suddenly transfers into a circular hole and is pushed against the wall, leaving the hole dwelling around the centre of the container. Theoretical analyses and numerical simulations are conducted to establish the phase diagram for different wetting modes. It is found that, in the second mode, $A_c$ increases with the size of the container but decreases with the contact angle of the substrate and the wall. Furthermore, we experimentally investigate the dynamics of the hole. The time evolution of the area of the hole obeys a scaling relationship $A \sim (t_0 - t)^{1.1}$ after the hole collapses at time $t_0$.

JFM classification

Interfacial Flows (free surface): Contact lines Interfacial Flows (free surface): Thin films
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 973 , 25 October 2023 , A18
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Copyright
© The Author(s), 2023. Published by Cambridge University Press

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