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arXiv 1012.2768cond-mat.softphysics.bio-ph
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主动转子的动力学和相互作用

Dynamics and interactions of active rotors

M. Leoni, T. B. Liverpool

摘要:

我们考虑一个简单的模型,内部驱动的自旋转的对象,转子,被限制在两个维度的低雷诺数流体的薄膜。我们进行了详细的研究,一对转子之间的流体动力学相互作用,并发现它们对所产生的动力学的影响是一个快速和缓慢的运动相结合。我们分析了缓慢的动态使用的平均程序,以考虑到快速的自由度。分析结果与数值模拟进行了比较。流体动力学相互作用意味着,虽然孤立的转子不平移,但将一对转子放在一起会导致它们的中心运动。在相同方向上旋转的两个转子以近似恒定的角速度围绕彼此旋转,而相反方向的两个转子都以相同的恒定速度平移,这取决于转子对的分离。因此,一对反向旋转的转子是一个有前途的模型控制的自我推进。

英文摘要:

We consider a simple model of an internally driven self-rotating object; a rotor, confined to two dimensions by a thin film of low Reynolds number fluid. We undertake a detailed study of the hydrodynamic interactions between a pair of rotors and find that their effect on the resulting dynamics is a combination of fast and slow motions. We analyse the slow dynamics using an averaging procedure to take account of the fast degrees of freedom. Analytical results are compared with numerical simulations. Hydrodynamic interactions mean that while isolated rotors do not translate, bringing together a pair of rotors leads to motion of their centres. Two rotors spinning in the same sense rotate with an approximately constant angular velocity around each other, while two rotors of opposite sense, both translate with the same constant velocity, which depends on the separation of the pair. As a result a pair of counter-rotating rotors are a promising model for controlled self-propulsion.

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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