Promenading pairs of walking droplets: Dynamics and stability
Name
PhysRevFluids.3.013604.pdf
Size
3.6 MB
Format
Adobe PDF
Checksum (MD5)
c3676e070a092d190f80f0835c384a03
Author(s)
Oza, Anand U.
Arbelaiz Mugica, Juncal
Bush, John W. M.
Date Issued
January 2018
Journal
Physical Review Fluids
Publisher
American Physical Society
Citation
Arbelaiz, Juncal et al. "Promenading pairs of walking droplets: Dynamics and stability." Physical Review Fluids 3, 1 (January 2018): 013604 © 2018 American Physical Society
Version
Final published version
Abstract
We present the results of an integrated experimental and theoretical investigation of the promenade mode, a bound state formed by a pair of droplets walking side by side on the surface of a vibrating fluid bath. Particular attention is given to characterizing the dependence of the promenading behavior on the vibrational forcing for drops of a given size. We also enumerate the different instabilities that may arise, including transitions to smaller promenade modes or orbiting pairs. Our theoretical developments highlight the importance of the vertical bouncing dynamics on the stability characteristics. Specifically, quantitative comparison between experiment and theory prompts further refinement of the stroboscopic model [A. U. Oza et al., J. Fluid Mech. 737, 552 (2013)] through inclusion of phase adaptation and reveals the critical role that impact phase variations play in the stability of the promenading pairs.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevFluids.3.013604
