Geodesic
Acoustic waves propagation in heated water with vapor bubbles
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, Tome 13 (2020) no. 1, pp. 28-38 Cet article a éte moissonné depuis la source Math-Net.Ru

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The problems of wave propagation in bubbly media are of great interest for researchers for nearly half a century due to the wide distribution of these systems in nature and their intense use in modern technology. It is known that the attenuation intensity of sound disturbances in the gas-liquid media is mainly determined by the thermophysical characteristics of the gas in bubbles. It turns out that these effects are significantly observable with increasing of steam concentration due to system temperature get higher. In this paper, we consider the propagation of small perturbations in a liquid with bubbles filled with vapor and gas insoluble in the liquid phase in an one-dimensional and one-velocity approximation. In order to take into account interfacial heat and mass transfer, we use the heat and diffusion equations inside the bubble and the heat equation in the fluid around the bubble. A dispersion equation was written from the existence condition of the solution in the form of a damped traveling wave, taking into account the effects of acoustic unloading of bubbles, and numerical calculations were carried out for water with vapor-gas bubbles. We investigate the features of the reflection of harmonic waves from the interface of “pure” liquid and liquid with vapor-gas bubbles. Also, we carry out a numerical analysis of the effect of the initial volume gas content $\alpha_ {g0} $ with two initial bubble sizes $ a_0 = 10^{-6}$ m and $10^{-3}$ m. Finally, we study the effect of disturbance frequencies and temperature of the media on the attenuation coefficient of sound.
Keywords: water-air bubble medium, bubbles, harmonic waves, phase velocity, damping factor.}\vspace{-6mm.
Mots-clés : phase transition 
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U. O. Agisheva; M. N. Galimzyanov. Acoustic waves propagation in heated water with vapor bubbles. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, Tome 13 (2020) no. 1, pp. 28-38. http://geodesic.mathdoc.fr/item/VYURU_2020_13_1_a1/

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