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arXiv 1504.02309physics.flu-dyn
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在小Reynolds number处的简单剪切中球体的旋转

Rotation of a spheroid in a simple shear at small Reynolds number

J. Einarsson, F. Candelier, F. Lundell, J. R. Angilella, B. Mehlig

摘要:

我们推导出一个有效的运动方程的定向动力学的中性浮力球体悬浮在一个简单的剪切流,适用于任意颗粒的纵横比和线性顺序的剪切雷诺数。我们展示了惯性效应如何解除简并的杰弗里轨道,并确定在无穷小的剪切雷诺数的日志滚动和翻滚轨道的稳定性。对于长球体,我们发现稳定的翻滚在剪切平面,日志滚动是不稳定的。相反,对于扁圆形颗粒,如果纵横比大于临界值,则原木滚动是稳定的,而翻滚是不稳定的。当纵横比小于此值时,翻滚变为稳定,并产生不稳定的极限环。

英文摘要:

We derive an effective equation of motion for the orientational dynamics of a neutrally buoyant spheroid suspended in a simple shear flow, valid for arbitrary particle aspect ratios and to linear order in the shear Reynolds number. We show how inertial effects lift the degeneracy of the Jeffery orbits and determine the stabilities of the log-rolling and tumbling orbits at infinitesimal shear Reynolds numbers. For prolate spheroids we find stable tumbling in the shear plane, log-rolling is unstable. For oblate particles, by contrast, log-rolling is stable and tumbling is unstable provided that the aspect ratio is larger than a critical value. When the aspect ratio is smaller than this value tumbling turns stable, and an unstable limit cycle is born.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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