Sedimentation of a Möbius strip
ORAL
Abstract
Sedimentation of particles is a classical problem of fluid mechanics. While it is well understood that the particle shape uniquely determines its motion, the precise trajectory and orientational dynamics are only known for a limited set of particle shapes. Here we study the sedimentation of a Möbius strip in a viscous fluid under gravity numerically. We approximate the Möbius strip by a rigid collection of spheres, employing the Rotne-Prager-Yamakawa interactions, and solve for its dynamics [1].
We find that the sedimenting Möbius strips follow chiral trajectories, in line with a recent theoretical suggestion [2]. Depending on the initial orientation of the Möbius strip, we report several classes of trajectories and present a proposal for the phase diagram of the system.
[1] D. Palanisamy and W. K. den Otter, J. Chem. Phys. 148, 194112 (2018)
[2] T. A. Witten and H. Diamant, Rep. Prog. Phys. 83 116601 (2020)
We find that the sedimenting Möbius strips follow chiral trajectories, in line with a recent theoretical suggestion [2]. Depending on the initial orientation of the Möbius strip, we report several classes of trajectories and present a proposal for the phase diagram of the system.
[1] D. Palanisamy and W. K. den Otter, J. Chem. Phys. 148, 194112 (2018)
[2] T. A. Witten and H. Diamant, Rep. Prog. Phys. 83 116601 (2020)
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Publication: "Sedimentation of a Möbius strip" by Martina Palusa, Joost de Graaf, and Alexander Morozov
Presenters
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Martina Palusa
University of Edinburgh
Authors
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Martina Palusa
University of Edinburgh
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Joost de Graaf
Utrecht University
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Alexander Morozov
University of Edinburgh, Univ of Edinburgh, School of Physics and Astronomy, University of Edinburgh