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arXiv physics/0703240physics.flu-dynmath-phmath.MP
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在低Reynolds numbers下游泳、抽水和滑行

Swimming, Pumping and Gliding at low Reynolds numbers

J. E. Avron, O. Raz

摘要:

简单的线性方程将微观游泳者与相应的滑翔机和泵联系起来。它们有以下一组结果:自由泳者的游泳速度可以从系留游泳者身上的力推断出来,反之亦然;系留游泳者比自由泳者消耗更多的能量;可以以任意高的效率游泳,但不可能以任意高的效率抽水,最后抽水是几何的。我们还解决了与游泳和抽水相关的几个优化问题:最佳锚定的问题,为一定类别的游泳者,其中包括Purcell游泳者和三个链接的领域和最佳几何形状的螺旋被认为是游泳者和泵。

英文摘要:

Simple, linear equations relate microscopic swimmers to the corresponding gliders and pumps. They have the following set of consequences: The swimming velocity of free swimmers can be inferred from the force on the tethered swimmer and vice versa; A tethered swimmer dissipates more energy than a free swimmer; It is possible to swim with arbitrarily high efficiency, but it is impossible to pump with arbitrarily high efficiency and finally that pumping is geometric. We also solve several optimization problems associated with swimming and pumping: The problem of optimal anchoring for a certain class of swimmers that includes the Purcell swimmer and the three linked spheres and the optimal geometries of helices considered as swimmers and pumps.

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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