论文标题

Valveless抽水雷诺数

Valveless pumping at low Reynolds numbers

论文作者

Gabriel, Amselem, Christophe, Clanet, Michael, Benzaquen

论文摘要

在生物生物和工程设备中,雷诺数低的泵送是一项普遍存在的特征。产生净流需要系统中存在不对称性,该系统传统上来自几何流动整流器。在这里,我们研究了$ n $振动泵的valveless系统,其中不对称不是来自几何形状,而是从时间开始的,即泵之间的相移。实验和理论结果非常吻合。我们提供了最佳的相移,从而导致连续$ n \ rightarrow \ infty $限制的最大净流量,比传统的蠕动正弦波大25 \%。我们的结果为设计更有效的微流体泵的设计铺平了道路。

Pumping at low Reynolds number is a ubiquitously encountered feature, both in biological organisms and engineered devices. Generating net flow requires the presence of an asymmetry in the system, which traditionally comes from geometric flow rectifiers. Here, we study a valveless system of $N$ oscillating pumps in series, where the asymmetry comes not from the geometry but from time, that is the phase shifts between the pumps. Experimental and theoretical results are in very good agreement. We provide the optimal phase shifts leading to the maximal net flow in the continuous $N\rightarrow \infty$ limit, larger by 25\% than that of a traditional peristaltic sinusoidal wave. Our results pave the way for the design of more efficient microfluidic pumps.

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