Model for bubble pulsation in liquid between parallel viscoelastic layers

Abstract

A model is presented for a pulsating spherical bubble positioned at a fixed location in a viscous, compressible liquid between parallel viscoelastic layers of finite thickness. The Green's function for particle displacement is found and utilized to derive an expression for the radiation load imposed on the bubble by the layers. Although the radiation load is derived for linear harmonic motion it may be incorporated into an equation for the nonlinear radial dynamics of the bubble. This expression is valid if the strain magnitudes in the viscoelastic layer remain small. Dependence of bubble pulsation on the viscoelastic and geometric parameters of the layers is demonstrated through numerical simulations.

Ultrasound contrast agents : dynamics of coated bubbles

“…The model by Hay et al [116] accounts for the change of the radial dynamics of a gas bubble as a result of its close proximity to a viscoelastic plate. The bubble 7.…”

“…As explained in Ref. [116], a theoretical description for encapsulated bubbles may be obtained by substituting an appropriate expression for the gas pressure P gas . For lipid encapsulated microbubbles the appropriate expression for this pressure is given by:…”

“…The insonation frequency is scanned to determine the resonance curve of the bubble at varying distances from the wall. The results of the experiment are compared to the model by Hay et al [116], which explicitly accounts for a compliant wall.…”

“…Recent numerical work is performed on the interaction of uncoated bubbles with elastic boundaries using the boundary element method (BEM) [114] and finite element method (FEM) [115]. Hay et al [116] account for a bubble between two compliant walls with a model similar to the "method of images", where the complex source strength of the image bubble depends on the acoustic wall properties and the thickness of the wall. The model is applicable to phospholipid-coated microbubbles.…”

Model for underwater noise radiated by submerged wind turbine towers

“…Therefore it may be decomposed into its angular spectrum in the x-y plane. [1] Once the boundary conditions are satisfied (see [1] for details) the pressure at some point r = (R, z) in layer k due to a source located at r 0 = (0, z 0 ) in layer j may be expressed in terms of the inverse Hankel transform:…”