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REFLECTION AND REFRACTION OF SOUND WAVES AT THE INTERFACE BETWEEN A BUBBLY LIQUID AND A POROUS MEDIUM SATURATED WITH THE BUBBLY LIQUID

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Journal of Applied Mechanics and Technical Physics Aims and scope

Abstract

The reflection and transmission of harmonic waves at the interface between a bubbly liquid and a porous medium saturated with this liquid has been studied theoretically. The influence of the parameters of the system on the reflection and transmission coefficients through the interface between two media has been investigated. It has been found that for the interface between a bubbly liquid and a porous medium saturated with the bubbly liquid, there is a range of frequencies in which reflection occurs in the same way as from a free surface and back reflection as from a rigid wall.

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REFERENCES

  1. M. J. Miksi and L. Ting, “Effects of Bubbly Layers on Wave Propagation," J. Acoust. Soc. Amer. 86 (6), 2349–2385 (1989).

    Article  ADS  Google Scholar 

  2. K. Lee, W. K. Choi, and S. W. Yoon, “Acoustic Pressure Reflection Coefficients of a Subsurface Bubble Layer in Water," J. Korean Phys. Soc. 40 (2), 256–263 (2002).

    Google Scholar 

  3. V. Sh. Shagapov, M. N. Galimzyanov, and I. I. Vdovenko, “Characteristics of the Reflection and Refraction of Acoustic Waves at Normal Incidence on the Interface between ‘Pure’ and Bubbly Liquids," Teplofiz. Vys. Temp. 57 (1), 1–8 (2019); DOI: 10.1134/S0040364419010228 [High Temp. 57 (1), 256–262 (2019); https://doi.org/10.1134/S0018151X1901022X].

    Article  Google Scholar 

  4. D. A. Gubaidullin and A. A. Nikiforov, “Interaction of the Acoustic Signal with Motionless Discretely Layered Medium Containing a Layer of Bubbly Liquid," Teplofiz. Vys. Temp. 55 (1), 102–107 (2017) [High Temp. 55 (1), 95–100 (2017); https://doi.org/10.1134/S0018151X17010102].

    Article  Google Scholar 

  5. V. Sh. Shagapov, I. K. Gimaltdinov, and M. N. Galimzyanov, “Two-Dimensional Pressure Waves in a Liquid Containing Bubbles," Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza, No. 2, 139–147 (2002) [Fluid Dyn. 37, 294–301 (2002); https://doi.org/10.1023/A:1015818602291].

    Article  MATH  Google Scholar 

  6. V. Sh. Shagapov, I. K. Gimaltdinov, N. S. Khabeev, and S. S. Bailey, Acoustic Waves in a Liquid with a Bubble Screen," Shock Waves 13 (1), 49–56 (2003); DOI: 10.1007/s00193-003-0194-1.

    Article  ADS  MATH  Google Scholar 

  7. D. A. Gubaidullin and R. N. Gafiyatov, “Reflection and Transmission of Acoustic Waves through a Multifractional Bubble Layer," Teplofiz. Vys. Temp. 58 (1), 97–100 (2020) [High Temp. 58 (1), 97–100 (2020); https://doi.org/10.1134/S0018151X20010083].

    Article  Google Scholar 

  8. A. A. Gubaidullin, O. Yu. Boldyreva, and D. N. Dudko, “Interaction of Acoustic Waves with Porous Layer," Teplofiz. Aeromekh. 16 (3), 455–470 [Thermophys. Aeromech. 16 (3), 429–444 (2009); https://doi.org/10.1134/S0869864309030123].

    Article  ADS  Google Scholar 

  9. R. Kumar, S. Kumar, and A. Miglani, “Reflection and Transmission of Plane Waves between Two Different Fluid-Saturated Porous Half-Spaces," Prikl. Mekh. Tekh. Fiz. 52 (5), 115–126 (2011) [J. Appl. Mech. Tech. Phys. 52 (5), 773–784 (2011); https://doi.org/10.1134/S0021894411050129].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  10. S. Derible, “Debye-Series Analysis of the Transmission Coefficient of a Water-Saturated Porous Plate Obeying Biot’s Theory," J. Acoust. Soc. Amer. 118 (6), 3430–3435 (2005).

    Article  ADS  Google Scholar 

  11. V. Sh. Shagapov, A. Sh. Sultanov, and S. F. Urmancheev, “To the Solution of the Problem of the Reflection of Linear Waves in a Fluid from a Saturated This Fluid of the Porous Half-Space," Prikl. Mekh. Tekh. Fiz. 47 (5), 16–26 (2006) [J. Appl. Mech. Tech. Phys. 47 (5), 628–636 (2006); https://doi.org/10.1007/s10808-006-0098-9].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  12. I. G. Khusainov and V. L. Dmitriev, “Evolution of a Wave Pulse Propagating through a Porous Barrier," Prikl. Mekh. Tekh. Fiz. 52 (5), 136–145 (2011) [J. Appl. Mech. Tech. Phys. 52 (5), 791–710 (2011); https://doi.org/10.1134/S0021894411050142].

    Article  ADS  MATH  Google Scholar 

  13. V. K. Kedrinskii, “Propagation of Perturbations in a Liquid Containing Gas Bubbles," Prikl. Mekh. Tekh. Fiz. 9 (4), 29–34 (1968) [J. Appl. Mech. Tech. Phys. 9 (4), 370–376 (1968); https://doi.org/10.1007/BF00912733].

    Article  ADS  Google Scholar 

  14. F. E. Fox, S. R. Curley, and G. S. Larson, “Phase Velocity and Absorption Measurements in Water Containing Air Bubbles," J. Acousy. Soc. Am 27, 534–546 (1955).

    Article  ADS  Google Scholar 

  15. Yu. Ya. Boguslavskii, A. I. Ioffe, and K. A. Naugolnykh, “Sound Emission by a Cavitating Region," Akust. Zh. 16 (1), 20–24 (1970).

    Google Scholar 

  16. V. K. Kedrinskii, Yu. I. Shokin, V. A. Vshivkov, et al., “Generation of Shock Waves by Spherical Bubble Clusters in a Liquid," Dokl. Akad. Nauk 381 (6), 773–776 (2001) [Dokl. Phys. 46 (12), 856–859 (2001)].

  17. L. F. Sitdikova and I. K. Gimaltdinov, “Propagation of Acoustic Waves in a Porous Medium Saturated with a Bubbly Liquid," Vest. Yuzh.-Ural. Gos. Univ., Ser. Mat. Mekh. Fiz. 13 (1), 59–66 (2021).

    Google Scholar 

  18. L. F. Lependin, Acoustics (Vysshaya Shkola, Moscow, 1978) [in Russian].

    Google Scholar 

  19. R. I. Nigmatulin, V. Sh.Shagapov, and N. K. Vakhitov, “Manifestation of Compressibility of the Carrier Phase during Wave Propagation in a Bubbly Medium," Dokl. Akad. Nauk SSSR 304 (35), 1077–1081 (1989).

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Authors and Affiliations

  1. Ufa State Oil Technical University, 450064, Ufa, Russia

    L. F. Sitdikova & I. K. Gimaltdinov

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  1. L. F. Sitdikova
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  2. I. K. Gimaltdinov
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Correspondence to L. F. Sitdikova.

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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2022, Vol. 63, No. 5, pp. 140-149. https://doi.org/10.15372/PMTF20220514.

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Sitdikova, L.F., Gimaltdinov, I.K. REFLECTION AND REFRACTION OF SOUND WAVES AT THE INTERFACE BETWEEN A BUBBLY LIQUID AND A POROUS MEDIUM SATURATED WITH THE BUBBLY LIQUID. J Appl Mech Tech Phy 63, 851–859 (2022). https://doi.org/10.1134/S0021894422050145

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