Purcell's swimmer in a shear-thinning fluid

Purcell's swimmer in a shear-thinning fluid
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珀塞尔在剪切稀化流体中的游泳者

DOI:
10.1103/physrevfluids.8.033301
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发表时间:
2023
影响因子:
2.7
通讯作者:
Pak, On Shun
Pak, On Shun
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Qin, Ke;Pak, On Shun

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运动的生物和人工microswimmer已经受到了相当大的关注,由于其基本的生物相关性和有前途的生物医学应用,如药物输送和显微外科手术。珀塞尔的著名讨论“生活在低雷诺数”[上午。J.Phys.45,3(1977)0002-950510.1119/1.10903]阐明了在微观尺度上对游泳的严格流体动力学约束。他还提出了“最简单的动物”,现在被称为珀塞尔的游泳者,它可以在没有惯性的情况下游泳,它现在已成为探索微观运动不同基本方面的有用模型。虽然广泛的研究已经提高了我们对牛顿流体中运动的理解,但微泳者经常遇到显示复杂(非牛顿)流变行为的生物流体,并且对复杂流体中的游泳知之甚少。在这项工作中,我们利用珀塞尔的游泳者作为一个模型游泳者,以探讨剪切稀化流变学,一个普遍存在的非牛顿行为的生物流体,如血液和粘液,在低雷诺数游泳的影响。我们展示了如何推进特性的珀塞尔的游泳者在剪切变稀流体中的不同,从牛顿流体中的两个方面的大小和方向的推进,取决于游泳行程的细节。珀塞尔的游泳者的简单性使我们能够通过检查剪切稀化效应如何在一个周期中的不同泳姿中表现出来来合理化结果。我们还演示了如何不等臂旋转速率可以耦合剪切稀化效应,以引起游泳者的净垂直位移,这是不可能的,在牛顿流体。这些结果表明,调制臂的旋转速率作为一种方式,使不同的二维运动的珀塞尔的游泳者在剪切稀化流体。
Locomotion of biological and artificial microswimmers has received considerable attention due to its fundamental biological relevance and promising biomedical applications such as drug delivery and microsurgery. Purcell's well-known discussion on “Life at Low Reynolds Number” [Am. J. Phys. 45, 3 (1977)0002-950510.1119/1.10903] elucidated the stringent fluid dynamical constraints on swimming at the microscopic scale. He also presented the “simplest animal,” now known as Purcell's swimmer, that can swim in the absence of inertia, which has now become a useful model for exploring different fundamental aspects of microscopic locomotion. While extensive studies have improved our understanding of locomotion in Newtonian fluids, microswimmers often encounter biological fluids that display complex (non-Newtonian) rheological behaviors, and much less is known about swimming in complex fluids. In this work, we utilize Purcell's swimmer as a model swimmer to probe the impacts of shear-thinning rheology, a ubiquitous non-Newtonian behavior of biological fluids such as blood and mucus, on swimming at low Reynolds numbers. We show how the propulsion characteristics of Purcell's swimmer in a shear-thinning fluid differ from those in a Newtonian fluid in terms of both the magnitude and direction of propulsion, depending on the details of the swimming strokes. The simplicity of Purcell's swimmer allows us to rationalize the results by examining how the shear-thinning effect manifests in different swimming strokes in a cycle. We also demonstrate how unequal arm rotational rates can couple with the shear-thinning effect to induce a net vertical displacement of the swimmer, which is not possible in a Newtonian fluid. These results suggest modulating the arm rotational rates as a way to enable different two-dimensional motions of Purcell's swimmer in a shear-thinning fluid.
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