Geodesic
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 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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. 
@article{VYURM_2014_6_4_a1,
     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},
     pages = {13--19},
     year = {2014},
     volume = {6},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VYURM_2014_6_4_a1/}
}
TY  - JOUR
AU  - Ya. R. Bayazitova
AU  - I. K. Gimaltdinov
TI  - Sound waves dynamics in a tube with elastic walls filled with bubbly liquid
JO  - Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika
PY  - 2014
SP  - 13
EP  - 19
VL  - 6
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/VYURM_2014_6_4_a1/
LA  - ru
ID  - VYURM_2014_6_4_a1
ER  - 
%0 Journal Article
%A Ya. R. Bayazitova
%A I. K. Gimaltdinov
%T Sound waves dynamics in a tube with elastic walls filled with bubbly liquid
%J Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika
%D 2014
%P 13-19
%V 6
%N 4
%U http://geodesic.mathdoc.fr/item/VYURM_2014_6_4_a1/
%G ru
%F VYURM_2014_6_4_a1
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/

[1] Kol'cova I. S., Krynskij L. O., Mihajlov I. G., Pokrovskaja I. E., Akusticheskij zhurnal, 25:5 (1979), 725–731 (in Russ.) | MR

[2] Nigmatulin R. I., Shagapov V. Sh., Vahitova N. K., Dokl. AN SSSR, 304:5 (1989), 1077–1081 (in Russ.) | Zbl

[3] K. W. Commander, A. Prosperetti, “Linear pressure waves in bubbly liquids: Comparison between theory and experiments”, J. Acoust. Soc. Am., 85:2 (1989), 732–746 | DOI

[4] Gafijatov R. N., “Acoustic waves in two fractional mixtures of liquid with steam bubbles”, Proceedings of the V All-Russian conference with international participation “Multiphase Systems: Theory and Applications”, devoted to the 20th anniversary of the founding of the Institute of Mechanics of R. R. Mavlyutov USC RAS (Ufa city, July 2–5, 2012), Science papers of the Institute of Mechanics, 1, no. 9, 2012, 65–69 (in Russ.)

[5] S. Levitsky, R. Berman, J. Haddad, “Sound propagation in viscoelastic pipe with liquid-bubble mixture”, Acoust. Paris, 2008, 4385–4390