High Temperature

, Volume 57, Issue 3, pp 425–429 | Cite as

Characteristics of the Reflection and Refraction of Acoustic Waves at an “Oblique” Incidence on the Interface between “Pure” and Bubbly Liquids

  • V. Sh. Shagapov
  • M. N. GalimzyanovEmail author
  • I. I. Vdovenko


The characteristics of the reflection and refraction of harmonic waves at its “oblique” incidence on an interface between a “pure” liquid and liquid with bubbles filled with a vapor–gas mixture have been studied. For the considered problem, we have obtained the dispersion equation and carried out a numerical analysis of the effect of the perturbation frequencies in the range 102–107 s–1 on the dependence of the angle of refraction on that of incidence for three equilibrium temperatures \({{T}_{0}}.\) The dependence of the critical angle of incidence on the parameters of a two-phase system and the perturbation frequencies has been studied for the same reflection.



The work of V.Sh. Shagapov and M.N. Galimzyanov was supported by the state budget in the framework of the government contract no. 0246-2019-0052 for 2017‒2019 years. The work of I.I. Vdovenko was partially supported by the Russian Foundation for Basic Research, project no. 17-41-020582-r_a.


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Copyright information

© Pleiades Publishing, Ltd. 2019

Authors and Affiliations

  • V. Sh. Shagapov
    • 1
  • M. N. Galimzyanov
    • 1
    • 2
    • 3
    Email author
  • I. I. Vdovenko
    • 3
  1. 1.Mavlyutov Institute of Mechanics, Ufa Science Center, Russian Academy of SciencesUfaRussia
  2. 2.Ufa State Aviation Technical UniversityUfaRussia
  3. 3.Bashkir State UniversityUfaRussia

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