Experimental dispersion relation of surface waves along a torus of fluid

F. Novkoski1, E. Falcon1, and C.-T. Pham2

1Université de Paris, MSC Laboratory, UMR 7057 CNRS, F-75 013 Paris, France
2Université Paris Saclay, LIMSI, UPR 3251 CNRS, F-91 405 Orsay, France


Reference: Physical Review Letters 127, 144504 (2021)

URL: https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.127.144504
DOI: https://doi.org/10.1103/PhysRevLett.127.144504

Abstract: We report the observation of gravity-capillary waves on a torus of fluid. By means of an original technique, a stable torus is achieved by depositing water on a superhydrophobic groove with a shallow wedge-shaped channel running along its perimeter. Using a spatio-temporal optical measurement, we report the full dispersion relation of azimuthal waves propagating along the inner and outer torus borders, highlighting several branches modeled as varicose, sinuous and sloshing modes. Standing azimuthal waves are also studied leading to polygon-like patterns arising on the two torus borders with a number of sides different when a tunable decoupling of the two interfaces occurs. The quantized nature of the dispersion relation is also evidenced.

PDF file and Supp. Mat.


Press items:

  • Logo The Conversation "How do waves propagate on a liquid torus?" in The Conversation, May 03, 2022 by F. Novkoski and E. Falcon (in French)
  • CNRS Logo "A water donut" in CNRS Le Journal, n°307, p. 31, Mars 2022 (in French)
  • CNRS Logo  Our liquid-torus image is one of the winners of the CNRS 2022 MecaPixel image contest
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