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On the Acoustic Radiation Force Acting Upon a Rigid Spherical Particle Near the Free Liquid Surface

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The action of the acoustic radiation force on a rigid spherical particle near the free liquid surface on which a plane sound wave is normally incident is studied. A standing sound pressure wave with displacement node at the free surface results from the interference between the incident and scattered waves. The dependence of the radiation force on the frequency, the radius of the particle, and the distance between it and the liquid surface is established. It is found out that the nodes and antinodes of the standing sound wave are the equilibrium positions of the particle. The antinodes are stable equilibrium positions, while the nodes are unstable equilibrium positions. It is confirmed that the radiation force causes particles to group at the antinodes in the sound field.

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Authors and Affiliations

  1. S. P. Timoshenko Institute of Mechanics, Ukrainian National Academy of Sciences, 3 Nesterov St., Kyiv, 03057, Ukraine

    A. P. Zhuk & Ya. A. Zhuk

  2. Taras Shevchenko National University of Kyiv, 64 Volodymyrska St., Kyiv, 01601, Ukraine

    Ya. A. Zhuk

Authors
  1. A. P. Zhuk
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  2. Ya. A. Zhuk
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Correspondence to A. P. Zhuk.

Additional information

Translated from Prikladnaya Mekhanika, Vol. 54, No. 5, pp. 61–69, September–October, 2018.

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Zhuk, A.P., Zhuk, Y.A. On the Acoustic Radiation Force Acting Upon a Rigid Spherical Particle Near the Free Liquid Surface. Int Appl Mech 54, 544–551 (2018). https://doi.org/10.1007/s10778-018-0907-x

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  • DOI: https://doi.org/10.1007/s10778-018-0907-x

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