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首页> 外文期刊>Experiments in Fluids: Experimental Methods and Their Applications to Fluid Flow >Torsional oscillations of a sphere in a Stokes flow
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Torsional oscillations of a sphere in a Stokes flow

机译：斯托克斯流中球体的扭转振动

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摘要

The results of an experimental investigation into a sphere performing torsional oscillations in a Stokes flow are presented. A novel experimental set-up was developed, which enabled the motion of the sphere to be remotely controlled through application of an oscillatory magnetic field. The response of the sphere to the applied field was characterised in terms of the viscous, magnetic and gravitational torques acting on the sphere. A mathematical model of the system was developed, and good agreement was found between experimental, numerical and theoretical results. The flow resulting from the motion of the sphere was measured, and the fluid velocity was found to have an inverse square dependence on radial distance from the sphere. The good agreement between measurements and the analytical solutions for both fluid velocity and angular displacement of the sphere indicates that the flow may be considered Stokesian, thus providing an excellent basis for experimental and theoretical characterisation of hydrodynamic interactions between multiple oscillating spheres at low Reynolds number.
机译：给出了对在斯托克斯流中执行扭转振动的球体进行实验研究的结果。开发了一种新颖的实验装置，该装置可以通过施加振荡磁场来远程控制球体的运动。通过作用在球体上的粘性，磁和重力转矩来表征球体对施加场的响应。建立了系统的数学模型，并在实验，数值和理论结果之间找到了很好的一致性。测量了由于球体的运动而产生的流动，并且发现流体速度与距球体的径向距离具有反平方关系。球形的流体速度和角位移的测量值和解析解之间的良好一致性表明，可以将流动视为斯托克斯流，从而为低雷诺数下多个振荡球之间的水动力相互作用的实验和理论表征提供了极好的基础。

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