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首页> 外文期刊>Physics of fluids >Surface tank treading: Propulsion of Purcell's toroidal swimmer
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Surface tank treading: Propulsion of Purcell's toroidal swimmer

机译：水面坦克踩踏：推进赛尔环形游泳者

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In this work we address the "smoking ring" propulsion technique, originally proposed by Purcell [Am. J. Phys. 45, 3 (1977)] for self-locomotion at low Reynolds numbers. We first consider self-locomotion of a doughnut-shaped swimmer powered by surface rotation. Different modes of surface motion are assumed and propulsion velocity and swimming efficiency are determined. The swimmer is propelled against the direction of its outer surface motion, the inner surface having very little effect. The simplest swimming mode corresponding to constant angular velocity can achieve propulsion speeds of up to 66% of the surface tank-treading velocity and swimming efficiency of up to 13%. Higher efficiency is possible for more complicated modes powered by nonuniform twirling of extensible surface. A practical design of a necklace-shaped swimmer motivated by Purcell's idea is proposed and demonstrated numerically. Finally, the explicit solution is found for the two-dimensional swimmer composed of two counter-rotating disks, using complex variable techniques. (C) 2008 American Institute of Physics.
机译：在这项工作中，我们讨论了最初由Purcell提出的“烟圈”推进技术[Am。 J.物理45，3（1977）]，以在低雷诺数下进行自我运动。我们首先考虑由表面旋转驱动的甜甜圈形游泳者的自我运动。假定表面运动的不同模式，并确定推进速度和游泳效率。游泳者被推向其外表面运动的方向，内表面的影响很小。对应于恒定角速度的最简单的游泳模式可以实现高达地面水箱踩踏速度的66％的推进速度和高达13％的游泳效率。对于由可扩展表面不均匀旋转驱动的更复杂模式，可能会有更高的效率。提出并以数字方式论证了由赛尔（Purcell）的想法激发的项链状游泳者的实用设计。最后，使用复杂的变量技术找到了由两个反向旋转的圆盘组成的二维游泳者的显式解决方案。 （C）2008美国物理研究所。

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