A frictionless microswimmer
A frictionless microswimmer
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DOI：
10.1088/1367-2630/9/5/145
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发表时间：
2007-05-22
影响因子：
3.3
通讯作者：
Avron, J. E.
中科院分区：
文献类型：
--
作者：
Leshansky, A. M.;Kenneth, O.;Avron, J. E.
我们研究了一个细长的微型游泳凭借单向切向表面铣削的自运动。我们表明，推进可以是几乎无摩擦，因为微型游泳者被向前推进的速度向后的表面运动，即它通过一个几乎静止的流体移动。我们研究这种游泳技术，使用特殊的球坐标系，也找到了一个显式的封闭形式的最优解的二维螺旋铣床通过复变量技术。细长物体表面的粘性铣削是一种特别有效的运动模式，因为粘性阻力是由物体的最小长度尺度决定的，而不是由最大尺度决定的，这是低雷诺数流动的通常情况。
We investigate the self-locomotion of an elongated microswimmer by virtue of unidirectional tangential surface treadmilling. We show that the propulsion could be almost frictionless, as the microswimmer is propelled forward with the speed of the backward surface motion, i.e. it moves through an almost quiescent fluid. We investigate this swimming technique using the special spheroidal coordinates and also find an explicit closed-form optimal solution for a two-dimensional treadmiller via complex-variable techniques. Slender-object surface treadmilling is a particularly efficient mode of locomotion because the viscous drag is determined by the smallest length scale of the object rather than by the largest scale, as is the usual case for low Reynolds number flow.