Issue |
EPL
Volume 145, Number 6, March 2024
|
|
---|---|---|
Article Number | 67001 | |
Number of page(s) | 5 | |
Section | Biological and soft matter physics | |
DOI | https://doi.org/10.1209/0295-5075/ad2e77 | |
Published online | 26 March 2024 |
Plateau-Rayleigh instability of a viscous film on a soft fiber
1 Univ. Bordeaux, CNRS, LOMA, UMR 5798 - F-33400, Talence, France
2 Department of Mathematics, Mechanics Division, University of Oslo - Oslo 0316, Norway
Received: 18 December 2023
Accepted: 28 February 2024
We theoretically study the Plateau-Rayleigh instability of a thin viscous film covering a fiber consisting of a rigid cylindrical core coated with a thin compressible elastic layer. We develop a soft-lubrication model, combining the capillary-driven flow in the viscous film to the elastic deformation of the soft coating, within the Winkler-foundation framework. We perform a linear-stability analysis and derive the dispersion relation. We find that the growth rate is larger when the soft coating is more compliant. As such, softness acts as a destabilising factor. In contrast, increasing the thickness of the soft coating reduces the growth rate, due to the dominating geometrical effect.
© 2024 EPLA
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