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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 65 | Issue 3 | Year 2019 | Article Id. IJMTT-V65I3P512 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I3P512

Instability in Acoustics of Liquids with Soluble Gas Bubbles


N.S. Khabeev, V.S. Shagapov
Abstract

The effect of gas solubility on the oscillation characteristics of bubbles in an acoustic field, the propagation and damping of perturbations in bubbly mixtures and moreover, the stability of such media is analyzed analytically and numerically. It is shown that the combined action of capillarity effects and the solubility of the gas essentially determine the behavior of bubbly gas-liquid mixtures. In particular, such mixtures may be unstable, the instability usually appearing in the case of finely dispersed mixtures: In some cases the phase velocity for low frequencies tends to infinity and the damping factor to zero. This, generally speaking, is a sign of instability.

Keywords
bubbles, solubility, instability, waves
References

[1]. Khabeev R.N., Khabeev N.S. Stability of oscillations of soluble gas bubbles. Journal of Engineering Physics and Thermophysics, Springer, 2019, N 2.
[2]. Shagapov V.S., Khabeev N.S. et al. Acoustic waves in a liquid with bubble screen, International Journal on Shock Waves, 2003, v.13, N 1 , Springer.
[3]. Nigmatulin R.I. Dynamics of Multiphase Media, Hemisphere, Washington D.C., 1990.

Citation :

N.S. Khabeev, V.S. Shagapov, "Instability in Acoustics of Liquids with Soluble Gas Bubbles," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 3, pp. 81-82, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I3P512

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