Abstract
The reflection and refraction of acoustic waves at different angles of incidence on the interface between a vapor-gas-droplet system and air are studied. From an analysis of analytical solutions, it has been found that in the case of incidence on the interface from the side of the vapor-gas-droplet medium, there is a critical angle of incidence at which the wave is completely reflected from the boundary, i.e., total internal reflection takes place. It is shown that for a certain angle of incidence on the interface both from the air side and from the mixture side and for a certain volume fraction of water in the disperse system, complete transmission of the acoustic wave through the medium is observed.
Similar content being viewed by others
References
J. E. Cole and R. A. Dobbins, “Measurements of Attenuation and Dispersion of Sound by a Warm Air Fog,” J. Atmospheric Sci. 28 (2), 202–209 (1971).
G. A. Davidson, “Sound Propagation in Fogs,” J. Atmospheric Sci. 32 (11), 2201–2205 (1975).
R. Ishii and H. Matsuhisa, “Steady Reflection, Absorption and Transmission of Small Disturbances by a Screen of Dusty Gas,” J. Fluid Mech. 130, 259–277 (1987).
V. Sh. Shagapov, “On the Propagation of Small Perturbations in a Vapor-Gas-Droplet Medium,” Tepolofiz, Vysok. Temp. 25 (6), 1148–1154 (1987).
N. A. Gumerov, “Long Waves of Finite Amplitude in Polydispersed Gas Suspensions,” Prikl. Mekh. Tekh. Fiz. 31 (4), 157–161 (1990) [J. Appl. Mech. Tech. Phys., No. 4, 660-664 (1990)].
D. A. Gubaidullin and A. I. Ivandaev, “Influence of Phase Transitions on Sound Propagation in Fogs: Comparison of Theory with Experiment,” Prikl. Mekh. Tekh. Fiz. 31 (6), 27–34 (1990) [J. Appl. Mech. Tech. Phys., No. 6, 820-827 (1990)].
R. I. Nigmatulin, A. I. Ivandaev, and D. A. Gubaidullin, “Effect of the Non-Monotonic Dependence of Sound Dissipation on Droplet Concentration in the Acoustics of Gas Suspensions,” Dokl. Akad. Nauk SSSR 316 (3), 601–605 (1991).
D. A. Gubaidullin and A. I. Ivandaev, “Propagation of Acoustic Waves in Polydisperse Fogs,” Tepolofiz. Vysok. Temp., No. 5, 935–941 (1992).
V. I. Arabadzhi, The Riddles of Plain Water (Znanie, Moscow, 1973) [in Russian].
R. I. Nigmatulin, Fundamentals of Mechanics of Heterogeneous Media (Nauka, Moscow, 1978) [in Russian].
S. V. Sukhinin, “Wave Propagation and Resonance Phenomena in Inhomogeneous Media,” Prikl. Mekh. Tekh. Fiz. 42 (3), 32–42 (2001) [J. Appl. Mech. Tech. Phys. 42 (3), 32-42 (2001)].
L. F. Lependin, Acoustics (Vysshaya Shkola, Moscow, 1978) [in Russian].
N. B. Vargaftik, Handbook on Thermophysical Properties of Gases and Liquids (Nauka, Moscow, 1972) [in Russian].
R. M. Garipov, “Waveguide in an Elastic Medium,” in Proc. Int. Conf. on Continuum Mechanics, Varna, September, 1966 (Bulgarian Academy of Sciences, Sofia, 1968), pp. 83–96.
M. A. Isakovich, General Acoustics (Nauka, Moscow, 1973) [in Russian].
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © V.Sh. Shagapov, V.V. Sarapulova.
Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 56, No. 5, pp. 119–129, September–October, 2015.
Rights and permissions
About this article
Cite this article
Shagapov, V.S., Sarapulova, V.V. Reflection and refraction of acoustic waves at the interface between a gas and a disperse systems. J Appl Mech Tech Phy 56, 838–847 (2015). https://doi.org/10.1134/S0021894415050107
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0021894415050107