Abstract
The mathematical model that determines reflection and transmission of acoustic wave through a medium containing multifractional bubbly liquid is presented. For the water-water with bubbles-water-waterwith bubbles-water model the wave reflection and transmission coefficients are calculated. It is revealed that the special dispersion and dissipative properties of the layer of bubbly liquid can significantly influence on the reflection and transmission of acoustic waves in multilayer medium.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
R. I. Nigmatulin, Dynamics of Multiphase Media (Hemisphere, New York, 1991).
S. Temkin, Suspension Acoustics: An Introduction to the Physics of Suspensions (Cambridge Univ. Press, Cambridge, 2005).
T. G. Leighton, The Acoustic Bubble (Academic, London, 1994).
V. E. Nakoryakov, B. G. Pokusaev, and I. R. Shreiber, Wave Propagation in Gas-Liquid Media (CRC, New York, 1993).
D. A. Gubaidullin, Dynamics of Two-Phase Gas-Vapor-Droplet Media (Kazan. Mat. Ob-vo, Kazan, 1998) [in Russian].
Y. Hao and A. Prosperetti, “The dynamics of vapor bubbles in acoustic pressure fields,” Phys. Fluids 11, 2008–2019 (1999).
K. W. Commander and A. Prosperetti, “Linear pressure waves in bubbly liquids: Comparison between theory and experiments,” J. Acoust. Soc. Am. 85, 732–746 (1989).
R. I. Nigmatulin, V. Sh. Shagapov, and N. K. Vakhitova, “Manifestation of compressibility of continuous phase at wave propagation in bubble-containing medium,” Sov. Phys. Dokl. 34, 98 (1989).
R. I. Nigmatulin, N. S. Khabeev, and F. B. Nagiev, “Dynamics, heat and mass transfer of vapour-gas bubbles in a liquid,” Int. J. Heat Mass Transfer 24, 1033–1044 (1981).
D. A. Gubaidullin, A. A. Nikiforov, and R. N. Gafiyatov, “Acoustic waves in two-fraction bubble liquid with phase transformations,” High Temp. 50, 250–254 (2012).
R. N. Gafiyatov, D. A. Gubaidullin, and A. A. Nikiforov, “Propagation of acoustic waves in two-fraction bubbly liquids with account for phase transitions in each fraction,” Fluid Dyn. 48, 366–373 (2013).
D. A. Gubaidullin, A. A. Nikiforov, and R. N. Gafiyatov, “Acoustic waves in multifractional bubbly liquids,” High Temp. 53, 240–245 (2015).
D. A. Gubaidullin and R. N. Gafiyatov, “Dynamics of waves in multifractional bubble liquids,” J. Eng. Phys. Thermophys. 90, 1433–1438 (2017).
R. N. Gafiyatov, D. A. Gubaidullin, and D. D. Gubaidullina, “Acoustic waves of various geometry in multi-fraction bubbly liquids,” Fluid Dyn. 53, 119–126 (2018).
D. A. Gubaidullin and Yu. V. Fedorov, “Acoustic wave incidence on a multilayer medium containing a bubbly fluid layer,” Fluid Dyn. 52, 107–114 (2017).
L. M. Brekhovskikh and O. A. Godin, Acoustics of Layered Media I (Springer, Berlin, Heidelberg, 1990).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Gafiyatov, R.N. Acoustic Wave Incidence on a Medium Containing Multifractional Bubbly Liquid. Lobachevskii J Math 40, 730–733 (2019). https://doi.org/10.1134/S1995080219060076
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1995080219060076