Dumb-bell swimmers
Dumb-bell swimmers
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DOI：
10.1209/0295-5075/83/34006
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发表时间：
2008-01-01
期刊：
影响因子：
1.8
通讯作者：
Yeomans, J. M.
中科院分区：
文献类型：
--
作者：
Alexander, G. P.;Yeomans, J. M.
我们研究了无极游泳者的一个简单的微观模型--振荡哑铃在低雷诺数时的运动方式。根据珀塞尔的Scallop定理，单个哑铃不能游泳，因为它的行程在时间上是相互的。然而，两个或更多具有相互相位差的哑铃的运动不是时间反转不变的，因此游泳是可能的。我们利用Stokes方程的解析解和数值解计算了两个哑铃游泳者之间的水动力相互作用，并讨论了他们的相对运动。通过首先考虑规则的哑铃阵列，然后考虑随机的哑铃阵列，来探索游泳者之间相互作用的协作效应。我们发现方形阵列起到了微泵的作用。研究了哑铃悬挂的长期行为，并与极地游泳模型运动员的行为进行了比较。版权所有(C)Epla，2008。
We investigate the way in which oscillating dumb-bells, a simple microscopic model of apolar swimmers, move at low Reynold's number. In accordance with Purcell's Scallop Theorem a single dumb-bell cannot swim because its stroke is reciprocal in time. However the motion of two or more dumb-bells, with mutual phase differences, is not time reversal invariant, and hence swimming is possible. We use analytical and numerical solutions of the Stokes equations to calculate the hydrodynamic interaction between two dumb-bell swimmers and to discuss their relative motion. The cooperative effect of interactions between swimmers is explored by considering first regular, and then random arrays of dumb-bells. We find that a square array acts as a micropump. The long-time behaviour of suspensions of dumb-bells is investigated and compared to that of model polar swimmers. Copyright (C) EPLA, 2008.