Acoustic waves in two-fraction bubble liquid with phase transformations

Gubaidullin, D. A.; Nikifirov, A. A.; Gafiyatov, R. N.

doi:10.1134/s0018151x12020095

Cited by 17 publications

(3 citation statements)

References 3 publications

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“…The propagation of the acoustic waves in two fraction mixtures of the liquid with the vapor-gas and gas bub bles of different sizes and different compositions with phase transformations was studied in [12]. The results of the theoretical study of the propagation of the sound perturbations in the mixtures of the liquid with vaporgas bubbles taking into account the interphase diffu sion mass exchange were presented in [13].…”

Section: Introductionmentioning

confidence: 99%

The theory of the growth of vapor bubbles in a metastable liquid

Shagapov

Koledin

2013

High Temp

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The growth of a single bubble and a system of vapor bubbles in the initial state in thermal and mechanical equilibrium with a liquid has been considered. Linear and nonlinear solutions have been derived, and the effects of the radial inertia, viscosity of the liquid, interphase heat and mass exchange, and the con ditions of the tightness of bubbles on the development of the process have been studied on their basis.

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Section: Introductionmentioning

confidence: 99%

The theory of the growth of vapor bubbles in a metastable liquid

Shagapov

Koledin

2013

High Temp

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“…The propagation of acoustic waves in a twofractional mixture of liquid with bubbles is investigated in [11][12][13]. A mathematical model of the propagation of sound waves in the two-fractional mixture of liquid with polydisperse vapor-gas and gas bubbles with phase transitions is shown in [14][15][16].…”

Section: Introductionmentioning

confidence: 99%

Reflection and Transmission of Acoustic Waves through the Layer of Multifractional Bubbly Liquid

Gubaidullin

Gafiyatov

2018

MATEC Web Conf.

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Abstract. The mathematical model that determines reflection and transmission of acoustic wave through a medium containing multifractioanl bubbly liquid is presented. For the water-water with bubbles-water model the wave reflection and transmission coefficients are calculated. The influence of the bubble layer thickness on the investigated coefficients is shown. The theory compared with the experiment. It is shown that the theoretical results describe and explain well the available experimental data. It is revealed that the special dispersion and dissipative properties of the layer of bubbly liquid can significantly influence on the reflection and transmission of acoustic waves in multilayer medium.

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“…They showed strong dependence of an attenuation of pulse waves on a vapor concentration in bubbles. The propagation of acoustic waves in a two-fractional mixture of liquid with bubbles is investigated in [11][12][13]. The propagation of sound waves in two-fractional liquids with polydisperse bubbles is investigated in [14][15][16][17].…”

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confidence: 99%

Weak waves in multifractional liquids with bubbles

Gubaidullin

Nikiforov

Gafiyatov

2016

J. Phys.: Conf. Ser.

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The propagation of weak waves in multifractional mixtures of liquid with vapor-gas and gas bubbles of different sizes and different compositions with phase transitions is studied. The dispersed phase consists of N+M fractions having various gases in bubbles and different in the bubbles radii. Phase transitions accounted for N fractions. The total bubble volume concentration is small (less than 1%). The dispersion relation is derived and dispersion curves is built. Influence of the mass concentration is shown. It is shown that dispersion and dissipation of acoustic waves depends significantly on presence of different bubbles in fractions of the dispersed phase. 1. Introduction A propagation of acoustic waves in liquid with gas bubbles is studied intensively both theoretically and experimentally. Nigmatulin [1], Nakoryakov et al. [2], Temkin [3] considered various basic aspects of acoustics of multiphase flows. Hao and Prosperetti [4] obtained the results of study of the vapor bubble dynamics in liquid. Commander and Prosperetti [5] presented a model of the propagation of plane waves with small amplitude in a mixture of liquid and of gas bubbles. This model is adequate for the frequencies far from resonance at the volume content of a disperse phase of 1-2%. Nigmatulin et al. [6] showed the need of allowing for the effect of liquid compressibility for problems of acoustics of bubbly liquids. Shagapov [7] considered a problem of propagation of small disturbances in liquids with polydisperse bubbles. Nigmatulin et al. [8] studied the small radial oscillations of vapor-gas bubbles in liquid under the influence of an acoustic field. They showed that capillary effects and phase transitions lead to the new resonant frequency of small bubbles. This frequency is different from the Minnaert frequency. Vakhitova and Shagapov [9] investigated the propagation of small disturbances in two-component two-phase bubbling media with a three-temperature model. They found that heat and mass transfer rather than an interphase friction mainly determine dispersion. Gubaidullin and Nikiforov [10] obtained a dispersion relation describing a propagation of harmonic spherical and cylindrical disturbances in monodisperse mixture of liquid with the vapor-gas bubbles. They showed strong dependence of an attenuation of pulse waves on a vapor concentration in bubbles. The propagation of acoustic waves in a two-fractional mixture of liquid with bubbles is investigated in [11-13]. The propagation of sound waves in two-fractional liquids with polydisperse bubbles is investigated in [14-17]. A mathematical model of the propagation of sound waves in the two-fractional mixture of liquid with polydisperse vapor-gas and gas bubbles with phase transitions is shown in [18].

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Acoustic waves in two-fraction bubble liquid with phase transformations

Cited by 17 publications

References 3 publications

The theory of the growth of vapor bubbles in a metastable liquid

The theory of the growth of vapor bubbles in a metastable liquid

Reflection and Transmission of Acoustic Waves through the Layer of Multifractional Bubbly Liquid

Weak waves in multifractional liquids with bubbles

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