University of Cambridge > Talks.cam > DAMTP Statistical Physics and Soft Matter Seminar > Kepler orbits of settling discs

Kepler orbits of settling discs

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  • UserSriram Ramaswamy , IISc Bangalore
  • ClockTuesday 21 May 2019, 13:00-14:00
  • HouseMR11, CMS.

If you have a question about this talk, please contact Professor Mike Cates.

(with Rahul Chajwa and Narayanan Menon)

The collective dynamics of objects moving through a viscous fluid is complex and counterintuitive. A key to understanding the role of nontrivial particle shape in this complexity is the interaction of a pair of sedimenting spheroids. We report experimental results on two discs settling at negligible Reynolds number (’ 10−4 ), finding two classes of bound periodic orbits, each with transitions to scattering states. We account for these dynamics, at leading far-field order, through an effective Hamiltonian in which gravitational driving endows orientation with the properties of momentum. This leads to a precise correspondence with the Kepler problem of planetary motion for a wide range of initial conditions, and also to orbits with no Keplerian analogue. This notion of internal degrees of freedom manifesting themselves as an effective inertia is potentially a more general tool in Stokesian driven systems.

This talk is part of the DAMTP Statistical Physics and Soft Matter Seminar series.

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