Radial oscillations of encapsulated microbubbles in viscoelastic liquids
Radial oscillations of encapsulated microbubbles in viscoelastic liquids
复制标题
DOI：
10.1063/1.1503353
复制
发表时间：
2002-10-01
影响因子：
4.6
通讯作者：
Nadim, A
中科院分区：
文献类型：
--
作者：
Khismatullin, DB;Nadim, A
本文从理论上研究了粘弹性固体壳包裹微气泡、微可压缩粘弹性液体包围微气泡的小振幅径向振动。分别采用Kelvin-Voigt模型和4常数Oldroyd模型来描述壳体和液体的粘弹性特性。利用匹配渐近展开的方法导出了径向振荡方程。在此基础上，给出了基频和倍基频下阻尼系数和散射截面的表达式。幅频响应函数的数值最大化表明，包封微泡的共振频率高度依赖于粘性阻尼，因此与无阻尼的固有频率有显著差异。分析了壳体和液体参数对共振频率和散射截面的影响。(C) 2002年美国物理研究所。
The small-amplitude radial oscillations of a gas microbubble encapsulated by a viscoelastic solid shell and surrounded by a slightly compressible viscoelastic liquid are studied theoretically. The Kelvin-Voigt and 4-constant Oldroyd models are used to describe the viscoelastic properties of the shell and liquid, respectively. The equation for radial oscillation is derived using the method of matched asymptotic expansions. Based on this equation, we present the expressions for damping coefficients and scattering cross sections at the fundamental frequency and at twice that frequency. The numerical maximization of the amplitude-frequency response function shows that the resonance frequency for the encapsulated microbubble highly depends on viscous damping, and therefore, significantly differs from the undamped natural frequency. The effects of the shell and liquid parameters on the resonance frequency and scattering cross sections are analyzed. (C) 2002 American Institute of Physics.