Wave Dynamics of Shell-Covered Inclusions in a Viscoelastic Medium
D. A. Gubaidullin, Yu. V. Fedorov
Institute of Mechanics and Mechanical Engineering, Kazan, 420111, Russia
Keywords: акустические волны, пузырьки газа, прослойка жидкости, вязкоупругая оболочка, модифицированное уравнение Рэлея - Ламба, межфазный теплообмен, дисперсионное уравнение, acoustic waves, gas bubbles, liquid interlayer, viscoelastic shell, modified Rayleigh-Lamb equation, interfacial heat transfer, dispersion equation
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.
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