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首页> 外文期刊>Bulletin of the American Physical Society >APS -70th Annual Meeting of the APS Division of Fluid Dynamics- Event - Dynamics of an elastic sphere containing a thin creeping region and immersed in an acoustic region for similar viscous-elastic and acoustic time- and length-scales
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APS -70th Annual Meeting of the APS Division of Fluid Dynamics- Event - Dynamics of an elastic sphere containing a thin creeping region and immersed in an acoustic region for similar viscous-elastic and acoustic time- and length-scales

机译：APS-APS流体动力学分部第70届年会-事件-包含薄蠕变区并浸没在声学区域中的弹性球体的动力学，适用于类似的粘弹性和声学时间和长度尺度

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The characteristic time of low-Reynolds number fluid-structure interaction scales linearly with the ratio of fluid viscosity to solid Young's modulus. For sufficiently large values of Young's modulus, both time- and length-scales of the viscous-elastic dynamics may be similar to acoustic time- and length-scales. However, the requirement of dominant viscous effects limits the validity of such regimes to micro-configurations. We here study the dynamics of an acoustic plane wave impinging on the surface of a layered sphere, immersed within an inviscid fluid, and composed of an inner elastic sphere, a creeping fluid layer and an external elastic shell. We focus on configurations with similar viscous-elastic and acoustic time- and length-scales, where the viscous-elastic speed of interaction between the creeping layer and the elastic regions is similar to the speed of sound. By expanding the linearized spherical Reynolds equation into the relevant spectral series solution for the hyperbolic elastic regions, a global stiffness matrix of the layered elastic sphere was obtained. This work relates viscous-elastic dynamics to acoustic scattering and may pave the way to the design of novel meta-materials with unique acoustic properties.
机译：低雷诺数流体-结构相互作用的特征时间随流体粘度与固体杨氏模量之比线性变化。对于足够大的杨氏模量值，粘弹性力学的时间尺度和长度尺度都可能类似于声学的时间尺度和长度尺度。然而，主要的粘性作用的要求将这种方案的有效性限制为微观构型。我们在这里研究声平面波撞击层状球体表面并浸没在不粘流体中的动力学，它由内部弹性球体，蠕变流体层和外部弹性壳组成。我们将重点放在具有相似的粘弹和时间和长度尺度的配置上，其中蠕变层与弹性区域之间相互作用的粘弹速度类似于声速。通过将线性球形雷诺方程扩展为双曲弹性区域的相关谱级数解，可以得到层状弹性球体的整体刚度矩阵。这项工作将粘弹性动力学与声散射联系起来，并可能为设计具有独特声特性的新型超常材料铺平道路。

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