Bulletin of the American Physical Society
74th Annual Meeting of the APS Division of Fluid Dynamics
Volume 66, Number 17
Sunday–Tuesday, November 21–23, 2021; Phoenix Convention Center, Phoenix, Arizona
Session P01: Minisymposia: Symmetry in Fluid Dynamics
4:05 PM–6:41 PM,
Monday, November 22, 2021
Room: North 120 AB
Chair: Andrzej Herczynski, Boston College; Roberto Zenit, Brown
Abstract: P01.00006 : Chiral symmetry avoidance through a cascade of wrinkles
6:15 PM–6:41 PM
The thread surface tension is lower than that of the underlying bath by an amount $\Delta\sigma$. This driving force directed from the thread core to the outer environment first thickens the thread by spreading the oil concentration gradient over a length scale $\ell$.
This chiral left/right (-/+) symmetry soon breaks into a meandering motion, any small displacement of the thread centerline being amplified by the difference of the surface tension gradients on each side of the thread $\Delta\sigma/\ell\vert_- \neq \Delta\sigma/\ell\vert_+$, a difference further increasing as the thread deforms.
We provide a detailed description of this newly reported instability, of its most unstable wavelength and associated growth rate. We also explain why and how this destabilization process repeats iteratively, leading to an accelerated cascade of fractal wrinkles, which ends-up in a finite time when molecular diffusion finally erases the driving force concentration gradients.
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