Journal article
Bendocapillary instability of liquid in a flexible-walled channel
- Abstract:
- We study the bendocapillary instability of a liquid droplet that part fills a flexible walled channel. Inspired by experiments in which a periodic pattern emerges as droplets of liquid are condensed slowly into deformable microchannels, we develop a mathematical model of this instability. We describe equilibria of the system, and use a combination of numerical methods and asymptotic analysis in the limit of small channel wall deflections, to elucidate the key features of this instability. We find that configurations are unstable to perturbations of sufficiently small wavenumber regardless of parameter values, that the growth rate of the instability is highly sensitive to the volume of liquid in the channel, and that both wetting and non-wetting configurations are susceptible to the instability in the same channel. Insight into novel interfacial instabilities opens the possibility for their control and thus exploitation in processes such as microfabrication.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
Actions
Access Document
- Files:
-
-
(Preview, Version of record, pdf, 1.3MB, Terms of use)
-
- Publisher copy:
- 10.1017/jfm.2022.1025
Authors
- Publisher:
- Cambridge University Press
- Journal:
- Journal of Fluid Mechanics More from this journal
- Volume:
- 955
- Article number:
- A26
- Publication date:
- 2023-01-25
- Acceptance date:
- 2022-10-21
- DOI:
- EISSN:
-
1469-7645
- ISSN:
-
0022-1120
- Language:
-
English
- Keywords:
- Pubs id:
-
1311711
- Local pid:
-
pubs:1311711
- Deposit date:
-
2022-12-06
Terms of use
- Copyright holder:
- Bradley et al.
- Copyright date:
- 2023
- Rights statement:
- © The Author(s), 2023. Published by Cambridge University Press. This is an Open Access article, distributed under the terms of the Creative Commons Attribution-ShareAlike licence, which permits re-use, distribution, and reproduction in any medium, provided the same Creative Commons licence is used to distribute the re-used or adapted article and the original article is properly cited.
- Licence:
- CC Attribution-ShareAlike (CC BY-SA)
If you are the owner of this record, you can report an update to it here: Report update to this record