Abstract:
A modified Rayleigh–Lamb equation is obtained, which takes into account the radial vibrations of a liquid drop that is covered by a viscoelastic shell, whose center contains a gas bubble, and which is placed in a viscoelastic medium. For the case of small vibrations of the inclusion, the heat transfer problem for gas, liquid phase, viscoelastic shell, and carrier liquid is solved. A dispersion equation is derived for a bubble medium. The influence of the inclusion shell and the viscoelasticity of the carrier phase on the dynamics of acoustic waves is investigated. Calculation results are compared with experimental data.
Citation:
D. A. Gubaidullin, Yu. V. Fedorov, “Wave dynamics of shell-covered inclusions in a viscoelastic medium”, Prikl. Mekh. Tekh. Fiz., 61:4 (2020), 22–30; J. Appl. Mech. Tech. Phys., 61:4 (2020), 517–524
\Bibitem{GubFed20}
\by D.~A.~Gubaidullin, Yu.~V.~Fedorov
\paper Wave dynamics of shell-covered inclusions in a viscoelastic medium
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2020
\vol 61
\issue 4
\pages 22--30
\mathnet{http://mi.mathnet.ru/pmtf291}
\crossref{https://doi.org/10.15372/PMTF20200403}
\elib{https://elibrary.ru/item.asp?id=43801333}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2020
\vol 61
\issue 4
\pages 517--524
\crossref{https://doi.org/10.1134/S0021894420040033}
Linking options:
https://www.mathnet.ru/eng/pmtf291
https://www.mathnet.ru/eng/pmtf/v61/i4/p22
This publication is cited in the following 5 articles:
D. A. Gubaidullin, D. D. Gubaidullina, Yu. V. Fedorov, “Acoustics of a Viscoelastic Liquid with Perfluorocarbon Droplets in the Presence of Phase Transitions”, Lobachevskii J Math, 45:5 (2024), 1988
V. Sh. Shagapov, Z. A. Bulatova, G. F. Shayakhmetov, “Peculiarities of the passage of pulsed signals through a layer with vapor-gas bubbles in water”, J. Appl. Mech. Tech. Phys., 64:3 (2023), 402–412
V. Sh. Shagapov, Z. A. Bulatova, G. F. Shayakhmetov, “Features of the Reflection of Pulse Signals from a Layer with Vapor-Gas Bubbles in Front of a Rigid Wall in Water”, High Temp, 61:5 (2023), 697
D. A. Gubaidullin, K. A. Panin, Yu. V. Fedorov, “Acoustics of a Liquid with Droplets Covered by a Shell in the Presence of Phase Transitions”, Fluid Dyn, 57:4 (2022), 459
D. A. Gubaidullin, D. D. Gubaidullina, Yu. V. Fedorov, “Radial Oscillations of a Shell-Covered Gas Bubble in a Viscoelastic Liquid”, Lobachevskii J Math, 42:9 (2021), 2124
Citation in format AMSBIB
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