Ratcheting droplet pairs

Millimetric droplets may be levitated on the surface of a vibrating fluid bath. Eddi et al. [Europhys. Lett. 82, 44001 (2008)] demonstrated that when a pair of levitating drops of unequal size are placed nearby, they interact through their common wavefield in such a way as to self-propel through a r...

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Main Authors: Galeano-Rios, C. A., Couchman, M. M. P., Caldairou, P., Bush, John W. M.
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: AIP Publishing 2020
Online Access:https://hdl.handle.net/1721.1/123527
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author Galeano-Rios, C. A.
Couchman, M. M. P.
Caldairou, P.
Bush, John W. M.
author2 Massachusetts Institute of Technology. Department of Mathematics
author_facet Massachusetts Institute of Technology. Department of Mathematics
Galeano-Rios, C. A.
Couchman, M. M. P.
Caldairou, P.
Bush, John W. M.
author_sort Galeano-Rios, C. A.
collection MIT
description Millimetric droplets may be levitated on the surface of a vibrating fluid bath. Eddi et al. [Europhys. Lett. 82, 44001 (2008)] demonstrated that when a pair of levitating drops of unequal size are placed nearby, they interact through their common wavefield in such a way as to self-propel through a ratcheting mechanism. We present the results of an integrated experimental and theoretical investigation of such ratcheting pairs. Particular attention is given to characterizing the dependence of the ratcheting behavior on the droplet sizes and vibrational acceleration. Our experiments demonstrate that the quantized inter-drop distances of a ratcheting pair depend on the vibrational acceleration, and that as this acceleration is increased progressively, the direction of the ratcheting motion may reverse up to four times. Our simulations highlight the critical role of both the vertical bouncing dynamics of the individual drops and the traveling wave fronts generated during impact on the ratcheting motion, allowing us to rationalize the majority of our experimental findings.
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spelling mit-1721.1/1235272022-09-29T20:15:36Z Ratcheting droplet pairs Galeano-Rios, C. A. Couchman, M. M. P. Caldairou, P. Bush, John W. M. Massachusetts Institute of Technology. Department of Mathematics Millimetric droplets may be levitated on the surface of a vibrating fluid bath. Eddi et al. [Europhys. Lett. 82, 44001 (2008)] demonstrated that when a pair of levitating drops of unequal size are placed nearby, they interact through their common wavefield in such a way as to self-propel through a ratcheting mechanism. We present the results of an integrated experimental and theoretical investigation of such ratcheting pairs. Particular attention is given to characterizing the dependence of the ratcheting behavior on the droplet sizes and vibrational acceleration. Our experiments demonstrate that the quantized inter-drop distances of a ratcheting pair depend on the vibrational acceleration, and that as this acceleration is increased progressively, the direction of the ratcheting motion may reverse up to four times. Our simulations highlight the critical role of both the vertical bouncing dynamics of the individual drops and the traveling wave fronts generated during impact on the ratcheting motion, allowing us to rationalize the majority of our experimental findings. Natural Sciences and Engineering Research Council of Canada (Grant 502891) National Science Foundation (U.S.) (Grant DMS-1614043) National Science Foundation (U.S.) (Grant CMMI-1727565) 2020-01-22T17:07:47Z 2020-01-22T17:07:47Z 2018-09 2018-07 2019-11-08T18:42:49Z Article http://purl.org/eprint/type/JournalArticle 1054-1500 1089-7682 https://hdl.handle.net/1721.1/123527 Galeano-Rios, C.A. et al. "Ratcheting droplet pairs." Chaos 28, 9 (September 2018): 096112 © 2018 Author(s) en http://dx.doi.org/10.1063/1.5032116 Chaos 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. application/pdf AIP Publishing Other repository
spellingShingle Galeano-Rios, C. A.
Couchman, M. M. P.
Caldairou, P.
Bush, John W. M.
Ratcheting droplet pairs
title Ratcheting droplet pairs
title_full Ratcheting droplet pairs
title_fullStr Ratcheting droplet pairs
title_full_unstemmed Ratcheting droplet pairs
title_short Ratcheting droplet pairs
title_sort ratcheting droplet pairs
url https://hdl.handle.net/1721.1/123527
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