Sound waves dynamics in a tube with elastic walls filled with bubbly liquid
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 6 (2014) no. 4, pp. 13-19

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The paper offers a theoretical model describing the dynamics of acoustic waves in two-phase fluid placed in a tube with elastic walls. Radial inertia of the tube walls was considered. Stop band for the dynamics of acoustic waves in two-phase liquid placed in a tube with elastic walls having radial inertia was found. Phase velocity value in the low-frequency region is less than the phase velocity value for acoustic waves in a bubbly liquid in a tube with rigid walls. The values of frozen velocities in both cases are the same. In a low-frequency region the value of the phase velocity of acoustic waves in a bubbly liquid in a tube with elastic walls with non-radial inertia is lower. The damping coefficient is almost the same as the one for acoustic waves in a bubbly liquid in a tube with rigid walls. In a high-frequency region phase velocity and damping coefficient of acoustic waves in a tube with elastic walls without radial inertia is much lower than the ones for acoustic waves in a bubbly liquid in a tube with rigid walls.
Keywords: acoustic wave; elasticity; two-phase fluid; phase velocity; damping coefficient.
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     author = {Ya. R. Bayazitova and I. K. Gimaltdinov},
     title = {Sound waves dynamics in a tube with elastic walls filled with bubbly liquid},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matematika, mehanika, fizika},
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     publisher = {mathdoc},
     volume = {6},
     number = {4},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VYURM_2014_6_4_a1/}
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Ya. R. Bayazitova; I. K. Gimaltdinov. Sound waves dynamics in a tube with elastic walls filled with bubbly liquid. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 6 (2014) no. 4, pp. 13-19. http://geodesic.mathdoc.fr/item/VYURM_2014_6_4_a1/