Skip to main content
Log in

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

  • HEAT AND MASS TRANSFER AND PHYSICAL GASDYNAMICS
  • Published:
High Temperature Aims and scope

Abstract

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.
Fig. 5.
Fig. 6.

Similar content being viewed by others

REFERENCES

  1. Shagapov, V.Sh., Galimzyanov, M.N., and Vdovenko, I.I., High Temp., 2019, vol. 57, no. 2, p. 256.

  2. Shagapov, V.Sh. and Sarapulova, V.V., J. Appl. Mech. Tech. Phys., 2015, vol. 56, no. 5, p. 838.

    Article  ADS  Google Scholar 

  3. Shagapov, V.Sh. and Sarapulova, V.V., Izv., Atmos. Oceanic Phys., 2014, vol. 50, no. 6, p. 602.

    Article  ADS  Google Scholar 

  4. Shagapov, V.Sh. and Sarapulova, V.V., Acoust. Phys., 2015, vol. 61, no. 1, p. 37.

    Article  ADS  Google Scholar 

  5. Shagapov, V.Sh., Gimaltdinov, I.K., and Galimzyanov, M.N., Fluid Dyn., 2002, vol. 37, no. 2, p. 294.

    Article  Google Scholar 

  6. Gimaltdinov, I.K. and Galimzyanov, M.N., in Sb. tr. Inst. Mekh. Ufimsk. Nauchn. Tsentra Ross. Akad. Nauk (Collection of Papers of Inst. Mech., Ufa Sci. Center, Russ. Acad. Sci.), Ufa, 2014, no. 10, p. 38.

  7. Agisheva, U.O., Bolotnova, R.Kh., Buzina, V.A., and Galimzyanov, M.N., Agisheva, U.O., Bolotnova, R.Kh., Buzina, V.A., and Galimzyanov, M.N., Fluid Dyn., 2013, vol. 48, no. 2, p. 151.

    Article  ADS  MathSciNet  Google Scholar 

  8. Agisheva, U.O., Vestn. Bashkirsk. Univ., 2013, vol. 18, no. 3, p. 640.

    Google Scholar 

  9. Nigmatulin, R.I., Dinamika mnogofaznykh sred (Dynamics of Multiphase Media), 2 vols., Moscow: Nauka, 1987.

  10. Isakovich, M.A., Obshchaya akustika (General Acoustics), Moscow: Nauka, 1973.

  11. Gafiyatov, R.N., Gubaidullin, D.A., and Nikiforov, A.A., Fluid Dyn., 2013, vol. 48, no. 3, p. 36 692.

    Article  Google Scholar 

  12. Shagapov, V.Sh., Galimzyanov, M.N., Vdovenko, I.I., and Khabeev, N.S., J. Eng. Phys. Thermophys., 2018, vol. 91, no. 4, p. 854.

    Article  Google Scholar 

Download references

FUNDING

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.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to M. N. Galimzyanov.

Additional information

Translated by N. Podymova

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Shagapov, V.S., Galimzyanov, M.N. & Vdovenko, I.I. Characteristics of the Reflection and Refraction of Acoustic Waves at an “Oblique” Incidence on the Interface between “Pure” and Bubbly Liquids. High Temp 57, 425–429 (2019). https://doi.org/10.1134/S0018151X19020184

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0018151X19020184

Navigation