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Features of the Passage of Acoustic Waves at Right Angles Through a Plane Layer of a Multifractional Gas Suspension

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Abstract

The features of the reflection and refraction of acoustic waves incident at right angles to a layer of a multifractional gas suspension are investigated. Formulas for calculating the reflection and refraction coefficients are obtained. The dependences of the reflection coefficients on the dimensionless frequency for different mass contents of particles and layer thickness are constructed.

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REFERENCES

  1. R. I. Nigmatulin, Dynamics of Multiphase Media (Hemisphere, New York, 1990), Vols. 1, 2.

    Google Scholar 

  2. S. Temkin, Suspension Acoustics: An Introduction to the Physics of Suspension (Cambridge Univ. Press, Cambridge, 2005).

    Book  Google Scholar 

  3. D. A. Gubaidullin, Dynamics of Two-Phase Vapor-Gas-Droplet Mixtures (Kazan Mat. Obshch., Kazan’, 1998) [in Russian].

  4. R. I. Nigmatulin, A. I. Ivandaev, and D. A. Gubaidullin, ‘‘On the non-monotonic dependence of the dissipation of sound on the concentration of drops in a suspension in gas,’’ Sov. Phys. Dokl. 36, 68–70 (1991).

    MATH  Google Scholar 

  5. D. A. Gubaidullin and A. I. Ivandaev, ‘‘Influence of phase transitions on sound propagation in fogs: Comparison of theory with experiment,’’ J. Appl. Mech. Tech. Phys.31, 820–827 (1990).

    Article  Google Scholar 

  6. D. A. Gubaidullin and A. I. Ivandaev, ‘‘Dynamics of small-amplitude pulse waves in vapor-gas-droplet mixtures,’’ J. Appl. Mech. Tech. Phys., No. 2, 106–113 (1995).

  7. N. A. Gumerov, A. I. Ivandaev, and R. I. Nigmatulin, ‘‘Sound waves in monodisperse gas-particle or vapor-droplet mixtures,’’ J. Fluid Mech., No. 193, 53–74 (1988).

  8. D. A. Gubaidullin, A. A. Nikiforov, and E. A. Utkina, ‘‘Acoustic waves in two-fraction mixtures of gas with vapor, droplets and solid particles of different materials and sizes in the presence of phase transitions,’’ Fluid Dyn.46, 72–79 (2011).

    Article  MathSciNet  Google Scholar 

  9. D. A. Gubaidullin, A. A. Nikiforov, and E. A. Utkina, ‘‘Effect of the phase transformations on acoustics of a mixture of gas with vapor, droplets, and solid particles,’’ High Temp. 49, 911–916 (2011).

    Article  Google Scholar 

  10. D. A. Gubaidullin, E. A. Teregulova, and D. D. Gubaidullina, ‘‘Acoustic wave propagation in multifraction gas suspensions,’’ High Temp. 53, 713–718 (2015).

    Article  Google Scholar 

  11. J. E. Cole and R. A. Dobbins, ‘‘Measurements of attenuation and dispersion of sound by a warm air fog,’’ J. Atmos. Sci. 28, 202–209 (1971).

    Article  Google Scholar 

  12. G. A. Davidson, ‘‘Sound propagation in fogs,’’ J. Atmos. Sci. 32, 2201–2205 (1975).

    Article  Google Scholar 

  13. R. Ishii and H. Matsuhisa, ‘‘Steady reflection, absorption and transmission of small disturbances by as creen of dusty gas,’’ J. Fluid Mech. 130, 259–277 (1983).

    Article  Google Scholar 

  14. E. A. Teregulova and D. D. Gubaidullina, ‘‘Reflection of acoustic waves falling under a direct angle to the interface of two polydisperse multi-fraction gas suspension,’’ Lobachevskii J. Math. 40 (11), 2013–2017 (2019).

    Article  MathSciNet  Google Scholar 

  15. V. S. Shagapov and V. V. Sarapulova, ‘‘Features of sound refraction in the atmosphere in fog,’’ Izv. Atmos. Ocean. Phys. 50, 602–609 (2014).

    Article  Google Scholar 

  16. V. S. Shagapov and V. V. Sarapulova, ‘‘Reflection and refraction of acoustic waves at the interface between a gas and a disperse systems,’’ J. Appl. Mech. Tech. Phys.56, 838–847 (2015).

    Article  Google Scholar 

  17. D. A. Gubaidullin and Y. V. Fedorov, ‘‘Peculiarities of acoustic wave reflection from a boundary or layer of a two-phase medium,’’ Acoust. Phys. 64, 164–174 (2018).

    Article  Google Scholar 

  18. L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 6: Fluid Mechanics (Nauka, Moscow, 1986; Pergamon, New York, 1987).

  19. L. M. Brekhovsky, Waves in Layered Media (Nauka, Moscow, 1973; Academic, New York, 1980).

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Teregulova, E.A. Features of the Passage of Acoustic Waves at Right Angles Through a Plane Layer of a Multifractional Gas Suspension. Lobachevskii J Math 41, 1295–1299 (2020). https://doi.org/10.1134/S1995080220070409

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  • DOI: https://doi.org/10.1134/S1995080220070409

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