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

Voir la notice de l'article provenant de la source Math-Net.Ru

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},
     publisher = {mathdoc},
     volume = {6},
     number = {4},
     year = {2014},
     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
PB  - mathdoc
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
%I mathdoc
%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/