Lobachevskii Journal of Mathematics

, Volume 40, Issue 6, pp 751–756 | Cite as

Interaction of Acoustic Waves with Bubbly Layer with Uneven Distribution of Bubbles

  • D. A. GubaidullinEmail author
  • A. A. NikiforovEmail author


On the basis of the presented mathematical model of a bubbly liquid, the interaction of acoustic waves with a bubbly layer is investigated. The gas bubble volume fraction in the layer varies in the direction of wave propagation and is described by a continuous function. A method is proposed for calculating the reflection and transmission coefficients of acoustic waves by dividing a bubbly layer into sublayers with a constant value of the bubble volume fraction.

Keywords and phrases

bubbly liquid multiphase flow acoustic waves bubbly layer 


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Copyright information

© Pleiades Publishing, Ltd. 2019

Authors and Affiliations

  1. 1.Institute of Mechanics and Engineering, Kazan Scientific CenterRussian Academy of SciencesKazanRussia

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