Orbiting pairs of walking droplets: Dynamics and stability
Name
PhysRevFluids.2.053601.pdf
Size
2.39 MB
Format
Adobe PDF
Checksum (MD5)
1439e78fc09cdb4866c4d0f7ac7c4a20
Author(s)
Oza, Anand U.
Harris, Daniel M.
Moláček, Jan
Siefert, Emmanuel
Bush, John W. M.
Date Issued
May 2017
Journal
Physical Review Fluids
Publisher
American Physical Society (APS)
Citation
Oza, Anand U. et al. “Orbiting Pairs of Walking Droplets: Dynamics and Stability.” Physical Review Fluids 2, 5 (May 2017): 053601 © 2017 American Physical Society
Version
Final published version
Abstract
A decade ago, Couder and Fort [Phys. Rev. Lett. 97, 154101 (2006)]PRLTAO0031-900710.1103/PhysRevLett.97.154101 discovered that a millimetric droplet sustained on the surface of a vibrating fluid bath may self-propel through a resonant interaction with its own wave field. We here present the results of a combined experimental and theoretical investigation of the interactions of such walking droplets. Specifically, we delimit experimentally the different regimes for an orbiting pair of identical walkers and extend the theoretical model of Oza [J. Fluid Mech. 737, 552 (2013)] JFLSA70022-112010.1017/jfm.2013.581 in order to rationalize our observations. A quantitative comparison between experiment and theory highlights the importance of spatial damping of the wave field. Our results also indicate that walkers adapt their impact phase according to the local wave height, an effect that stabilizes orbiting bound states.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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DOI of Published Version
https://doi.org/10.1103/PHYSREVFLUIDS.2.053601
