Abstract:
Предложена теоретическая модель, описывающая динамику акустических волн в двухфазной жидкости в трубке с эластичными стенками. Учитывается радиальная инерция стенок трубки. 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.
Description:
Баязитова Яна Разифовна – аспирант, кафедра прикладной математики и механики, Башкирский государственный университет,
филиал в г. Стерлитамаке.
E-mail: yana.bayazitova@mail.ru.
Гималтдинов Ильяс Кадирович – доктор физико-математических наук, профессор, заведующий кафедрой прикладной математики и
механики, Башкирский государственный университет, филиал в г. Стерлитамаке. Bayazitova Yana Razifovna is Post-graduate Student, Applied Mathematics and Mechanics Department, Branch of Bashkir State University,
Sterlitamak, Russia.
E-mail: yana.bayazitova@mail.ru. Gimaltdinov Il'yas Kadirovich is Dr. Sc. (Physics and Mathematics), Professor, General of Applied Mathematics and Mechanics Department,
Branch of Bashkir State University, Sterlitamak, Russia.
