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Condition of resonant break-up of gas bubbles by an acoustic wave in liquid

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Abstract

The linear theory of damping of radial vibrations of a bubble in a liquid is constructed by taking into account the key dissipative mechanisms: thermal, viscous, and acoustic. The basic approximation of homobaricity made helps to obtain the results in a convenient and simple form. The results obtained for damping are used further in the description of the forced resonant oscillations of a bubble in an acoustic wave with the frequency equal to the eigenfrequency of the radial oscillation mode and twice as high as the frequency of the deformation oscillation mode (resonance 2:2:1). It is shown that the amplitude of deformation oscillations, which is reasonably large for breaking, is developed at a relatively small pressure amplitude of the exciting acoustic wave, and subharmonics arise in the acoustic-emission spectrum. The condition of bubble break-up is obtained for a fast and slow start of the acoustic wave.

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Authors and Affiliations

  1. Moscow Institute of Physics and Technology (State University), Dolgoprudnyi, Moscow oblast, 141700, Russia

    V. V. Vanovskiy & A. G. Petrov

  2. Ishlinskii Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, 117526, Russia

    V. V. Vanovskiy & A. G. Petrov

Authors
  1. V. V. Vanovskiy
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  2. A. G. Petrov
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Correspondence to V. V. Vanovskiy.

Additional information

Original Russian Text © V.V. Vanovskiy, A.G. Petrov, 2016, published in Doklady Akademii Nauk, 2016, Vol. 469, No. 2, pp. 162–166.

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Vanovskiy, V.V., Petrov, A.G. Condition of resonant break-up of gas bubbles by an acoustic wave in liquid. Dokl. Phys. 61, 316–320 (2016). https://doi.org/10.1134/S1028335816070090

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  • DOI: https://doi.org/10.1134/S1028335816070090

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