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Pressure waves in bubbly liquids

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Abstract

It is well known that sound propagation in liquid media is strongly affected by the presence of gas bubbles that interact with sound and in turn affect the medium. An explicit form of a wave equation in a bubbly liquid medium was obtained in this study. Using the linearized wave equation and the Keller-Miksis equation for bubble wall motion, a dispersion relation for the linear pressure wave propagation in bubbly liquids was obtained. It was found that attenuation of the waves in bubbly liquid occurs due to the viscosity and the heat transfer from/to the bubble. In particular, at the lower frequency region, the thermal diffusion has a considerable affect on the frequencydependent attenuation coefficients. The phase velocity and the attenuation coefficient obtained from the dispersion relation are in good agreement with the observed values in all sound frequency ranges from kHz to MHz.

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Authors and Affiliations

  1. Mechanical Engineering Department, Chung-Ang University, Seoul, 156-756, Korea

    Shahid Mahmood & Ho-Young Kwak

Authors
  1. Shahid Mahmood
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  2. Ho-Young Kwak
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Corresponding author

Correspondence to Ho-Young Kwak.

Additional information

Recommended by Guest Editor Gihun Son and Hyoung-Gwon Choi

Shahid Mahmood received B.Sc. Engr. (Mechanical) from University of Engineering and Technology, Lahore, Pakistan in 2003 and M.Sc. Engr. (Nuclear Power) from NED University of Engineering and Technology, Karachi, Pakistan in 2005. He joined M.E. Department, Chung-Ang University, Korea in Sep.-2012 and is currently Ph.D. student there. His research interests are in bubble dynamics and sonoluminescence phenomena.

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Mahmood, S., Kwak, HY. Pressure waves in bubbly liquids. J Mech Sci Technol 30, 3935–3943 (2016). https://doi.org/10.1007/s12206-016-0805-2

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  • DOI: https://doi.org/10.1007/s12206-016-0805-2

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