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Model for bubble pulsation in liquid between parallel viscoelastic layers.

Todd A Hay¹, Yurii A Ilinskii, Evgenia A Zabolotskaya

¹Applied Research Laboratories, The University of Texas at Austin, Austin, Texas 78713-8029, USA. hayta@arlut.utexas.edu

The Journal of the Acoustical Society of America

|July 12, 2012

Summary

This summary is machine-generated.

A new model describes pulsating bubbles in viscous liquids between viscoelastic layers. It reveals how layer properties influence bubble dynamics, aiding in understanding complex fluid-structure interactions.

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Area of Science:

Fluid dynamics
Acoustics
Materials science

Background:

Pulsating bubbles in liquids generate acoustic waves.
Viscoelastic materials exhibit both viscous and elastic characteristics.
Understanding bubble dynamics near boundaries is crucial for various applications.

Purpose of the Study:

To develop a model for a pulsating bubble interacting with viscoelastic layers.
To derive an expression for the radiation load imposed by these layers on the bubble.
To investigate the influence of layer properties on bubble pulsation.

Main Methods:

Formulation of a Green's function for particle displacement.
Derivation of radiation load expression for linear harmonic motion.
Incorporation into nonlinear radial bubble dynamics equation.
Numerical simulations to demonstrate parameter dependence.

Main Results:

An expression for radiation load on a pulsating bubble was derived.
The model accounts for viscous, compressible liquid and finite viscoelastic layers.
Bubble pulsation dependence on viscoelastic and geometric parameters was shown.
The derived radiation load is applicable to nonlinear bubble dynamics under small strain conditions.

Conclusions:

The presented model accurately captures the complex interaction between a pulsating bubble and surrounding viscoelastic layers.
The findings highlight the significant impact of layer viscoelasticity and geometry on bubble pulsation.
This work provides a valuable tool for analyzing acoustic phenomena and fluid-structure interactions in such systems.