Abstract
Reflection and refraction of acoustic waves at the interface between pure water and bubbly water are investigated for the case of oblique incidence. From an analysis of analytic solutions, it is concluded that, for a wave incident on the interface from the side of a bubbly liquid, a critical angle of incidence, which depends on the frequency and the parameters of the disperse system, exists, so that, at angles of incidence exceeding the critical one, the wave is totally reflected from the interface.
Similar content being viewed by others
References
R. I. Nigmatullin, Dynamics of Multiphase Media (Nauka, Moscow, 1987).
V. E. Nakoryakov, B. G. Pokusaev, and I. R. Shreiber, Wave Dynamics of Gas- and Vaporliquid Media (Energoatomizdat, Moscow, 1990) [in Russian].
A. L. Virovlyanskii, A. Yu. Kazarova, and L. Ya. Lyubavin, Acoust. Phys. 57, 824 (2011).
I. N. Didenkulov, A. M. Kustov, A. I. Mart’yanov, and N. V. Pronchatov-Rubtsov, Acoust. Phys. 57, 241 (2011).
R. I. Nigmatullin, V. Sh. Shagapov, and N. K. Vakhitova, Dokl. Akad. Nauk SSSR 304, 1077 (1989).
K. W. Commander and A. Prosperetti, J. Acoust. Soc. Am. 85, 732 (1989).
C. Feuillade, J. Acoust. Soc. Am. 99, 3412 (1996).
V. N. Alekseev and S. A. Rybak, Acoust. Phys. 45, 535 (1999).
V. Leroy, A. Strybulevych, J. H. Page, and M. G. Scanlon, J. Acoust. Soc. Am. 123, 1931 (2008).
D. A. Gubaidullin and Yu. V. Fedorov, J. Appl. Mathem. Mech. 77, 532 (2013).
P. S. Wilson, R. A. Roy, and W. M. Carey, J. Acoust. Soc. Am. 117, 1895 (2005).
V. Sh. Shagapov, I. K. Gimaltdinov, N. S. Khabeev, and S. S. Bailey, Shock Waves 13, 49 (2003).
S. Karpov, A. Prosperetti, and L. Ostrovsky, J. Acoust. Soc. Am. 113, 1304 (2003).
A. Baranowska, Arch. Acoust. 37, 287 (2012).
A. P. Voloshchenko and S. P. Tarasov, Acoust. Phys. 59, 163 (2013).
V. K. Kedrinskii, Prikl. Matem. Tekhn. Fiz., No. 4, 29 (1968).
L. F. Lependin, Acoustica (Vysshaya Shkola, Moscow, 1978) [in Russian].
Vargaftic, N.B., Handbook of Thermophysical Properties of Gases and Liquids (Nauka, Moscow, 1972).
L. M. Brekhovskikh, Waves in Layered Media (Nauka, Moscow, 1973).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © V.Sh. Shagapov, V.V. Sarapulova, 2015, published in Akusticheskii Zhurnal, 2015, Vol. 61, No. 1, pp. 40–48.
Rights and permissions
About this article
Cite this article
Shagapov, V.S., Sarapulova, V.V. Refraction and reflection of sound at the boundary of a bubbly liquid. Acoust. Phys. 61, 37–44 (2015). https://doi.org/10.1134/S1063771014060153
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063771014060153