Nonlinear Generation of Vorticity by Surface Waves

S. V. Filatov, V. M. Parfenyev, S. S. Vergeles, M. Yu. Brazhnikov, A. A. Levchenko, and V. V. Lebedev
Phys. Rev. Lett. 116, 054501 – Published 5 February 2016
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Abstract

We demonstrate that waves excited on a fluid surface produce local surface rotation owing to hydrodynamic nonlinearity. We examine theoretically the effect and obtain an explicit formula for the vertical vorticity in terms of the surface elevation. Our theoretical predictions are confirmed by measurements of surface motion in a cell with water where surface waves are excited by vertical and harmonic shaking the cell. The experimental data are in good agreement with the theoretical predictions. We discuss physical consequences of the effect.

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  • Received 8 June 2015

DOI:https://doi.org/10.1103/PhysRevLett.116.054501

© 2016 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
  1. Physical Systems
Fluid Dynamics

Authors & Affiliations

S. V. Filatov1, V. M. Parfenyev2,3,*, S. S. Vergeles2,3, M. Yu. Brazhnikov1, A. A. Levchenko1, and V. V. Lebedev2,3

  • 1Institute of Solid State Physics, Chernogolovka, 2 Academician Ossipyan str., 142432 Moscow Region, Russia
  • 2Landau Institute for Theoretical Physics, Chernogolovka, 1-A Akademika Semenova av., 142432 Moscow Region, Russia
  • 3Moscow Institute of Physics and Technology, Dolgoprudny, 9 Institutskiy per., 141700 Moscow Region, Russia

  • *parfenius@gmail.com

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Issue

Vol. 116, Iss. 5 — 5 February 2016

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