A note on the breathing mode of an elastic sphere in Newtonian and complex fluids
A note on the breathing mode of an elastic sphere in Newtonian and complex fluids
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DOI：
10.1063/1.4914045
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发表时间：
2015-03-01
影响因子：
4.6
通讯作者：
Stone, Howard A.
中科院分区：
文献类型：
--
作者：
Galstyan, Vahe;Pak, On Shun;Stone, Howard A.
流体介质中弹性纳米结构的声振动实验已用于研究材料的机械性能以及机械和生物传感。纳米结构周围的介质通常被建模为牛顿流体。然而，最近的一项实验表明，双锥纳米颗粒的高频纵向振动可能会引发水-甘油混合物中的粘弹性响应[Pelton 等人，“振动纳米结构产生的简单液体中的粘弹性流动”，Phys。莱特牧师。 111, 244502 (2013)]。受这些实验研究的启发，我们首先重新审视可压缩粘性流体中弹性球体纯径向振动的经典连续介质力学问题（也称为呼吸模式），然后使用麦克斯韦流体模型将我们的分析扩展到粘弹性介质。讨论了流体压缩性和粘弹性的影响。尽管在双锥纳米颗粒纵向振动的情况下，流体压缩性的影响可以忽略不计，但我们证明它在弹性球体的呼吸模式中起着重要作用。另一方面，尽管振动模式不同，球体的呼吸模式在水-甘油混合物中触发粘弹性响应，类似于双锥纳米颗粒的纵向振动触发的响应。我们还评论了流体粘弹性对通过声共振破坏病毒颗粒的想法的影响。 (C) 2015 AIP 出版有限责任公司。
Experiments on the acoustic vibrations of elastic nanostructures in fluid media have been used to study the mechanical properties of materials, as well as for mechanical and biological sensing. The medium surrounding the nanostructure is typically modeled as a Newtonian fluid. A recent experiment however suggested that high-frequency longitudinal vibration of bipyramidal nanoparticles could trigger a viscoelastic response in water-glycerol mixtures [Pelton et al., "Viscoelastic flows in simple liquids generated by vibrating nanostructures," Phys. Rev. Lett. 111, 244502 (2013)]. Motivated by these experimental studies, we first revisit a classical continuum mechanics problem of the purely radial vibration of an elastic sphere, also called the breathing mode, in a compressible viscous fluid and then extend our analysis to a viscoelastic medium using the Maxwell fluid model. The effects of fluid compressibility and viscoelasticity are discussed. Although in the case of longitudinal vibration of bipyramidal nanoparticles, the effects of fluid compressibility were shown to be negligible, we demonstrate that it plays a significant role in the breathing mode of an elastic sphere. On the other hand, despite the different vibration modes, the breathing mode of a sphere triggers a viscoelastic response in water-glycerol mixtures similar to that triggered by the longitudinal vibration of bipyramidal nanoparticles. We also comment on the effect of fluid viscoelasticity on the idea of destroying virus particles by acoustic resonance. (C) 2015 AIP Publishing LLC.