Sound waves in a liquid with polydisperse vapor–gas bubbles
- Авторлар: Gubaidullin D.A.1, Fedorov Y.V.1
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Мекемелер:
- Institute of Mechanics and Engineering, Kazan Science Center
- Шығарылым: Том 62, № 2 (2016)
- Беттер: 179-186
- Бөлім: Physical Acoustics
- URL: https://journals.rcsi.science/1063-7710/article/view/185616
- DOI: https://doi.org/10.1134/S1063771016020068
- ID: 185616
Дәйексөз келтіру
Аннотация
A mathematical model is presented for the propagation of plane, spherical, and cylindrical sound waves in a liquid containing polydisperse vapor–gas bubbles with allowance for phase transitions. A system of integro-differential equations is constructed to describe perturbed motion of a two-phase mixture, and a dispersion relation is derived. An expression for equilibrium sound velocity is obtained for a gas–liquid or vapor–liquid mixture. The theoretical results agree well with the known experimental data. The dispersion curves obtained for the phase velocity and the attenuation coefficient in a mixture of water with vapor–gas bubbles are compared for various values of vapor concentration in the bubbles and various bubble distributions in size. The evolution of pressure pulses of plane and cylindrical waves is demonstrated for different values of the initial vapor concentration in bubbles. The calculated frequency dependence of the phase sound velocity in a mixture of water with vapor bubbles is compared with experimental data.
Негізгі сөздер
Авторлар туралы
D. Gubaidullin
Institute of Mechanics and Engineering, Kazan Science Center
Хат алмасуға жауапты Автор.
Email: gubaidullin@imm.knc.ru
Ресей, ul. Lobachevskogo 2/31, Kazan, 420111
Yu. Fedorov
Institute of Mechanics and Engineering, Kazan Science Center
Email: gubaidullin@imm.knc.ru
Ресей, ul. Lobachevskogo 2/31, Kazan, 420111
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