Swimming in viscoplastic fluids

IF 2.3 3区工程技术 Q2 MECHANICS

Rheologica Acta Pub Date : 2024-08-06 DOI:10.1007/s00397-024-01466-8

Duncan R. Hewitt

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Abstract

Locomotion at small scales in the absence of inertia is a classical and enduring research topic. Here, recent developments in the theory of such locomotion through a viscoplastic ambient fluid are reviewed and explored. The specific focus here applies to motion of cylindrical filamentary bodies that are long and thin, for which an asymptotic slender-body theory can be exploited. Details of this theory are summarised and then applied to describe different swimming waveforms: undulation, peristalsis, and helical motion. It is shown that, in general, strong force anisotropy close to the limit of axial cylindrical motion has a significant effect on locomotion in viscoplastic media, allowing for highly efficient motion in which the swimmer is able to ‘cut’ through the material following very closely the path of its own axis. Some qualitative comparison with experiments is presented, and future extensions and research directions are reviewed.

Deformation fields around cylinders moving at different angles to their axis through a yield stress fluid, showing (a) a low yield stress and (b) a high yield stress

Abstract Image

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在粘性流体中游泳

摘要无惯性的小尺度运动是一个经典而持久的研究课题。本文回顾并探讨了这种通过粘性环境流体的运动理论的最新发展。本文的具体重点是细长圆柱丝状体的运动，对此可以利用渐近细长体理论。本文总结了这一理论的细节，然后将其应用于描述不同的游泳波形：起伏、蠕动和螺旋运动。研究表明，一般来说，接近轴向圆柱运动极限的强力各向异性对粘性介质中的运动有显著影响，从而允许高效运动，在这种运动中，游泳者能够紧跟自身轴线的轨迹 "切割 "材料。图解摘要圆柱体在屈服应力流体中以与其轴线成不同角度运动时的变形场，显示了(a) 低屈服应力和(b) 高屈服应力。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Rheologica Acta 物理-力学

CiteScore

4.60

自引率

8.70%

发文量

审稿时长

3 months

期刊介绍： "Rheologica Acta is the official journal of The European Society of Rheology. The aim of the journal is to advance the science of rheology, by publishing high quality peer reviewed articles, invited reviews and peer reviewed short communications. The Scope of Rheologica Acta includes: - Advances in rheometrical and rheo-physical techniques, rheo-optics, microrheology - Rheology of soft matter systems, including polymer melts and solutions, colloidal dispersions, cement, ceramics, glasses, gels, emulsions, surfactant systems, liquid crystals, biomaterials and food. - Rheology of Solids, chemo-rheology - Electro and magnetorheology - Theory of rheology - Non-Newtonian fluid mechanics, complex fluids in microfluidic devices and flow instabilities - Interfacial rheology Rheologica Acta aims to publish papers which represent a substantial advance in the field, mere data reports or incremental work will not be considered. Priority will be given to papers that are methodological in nature and are beneficial to a wide range of material classes. It should also be noted that the list of topics given above is meant to be representative, not exhaustive. The editors welcome feedback on the journal and suggestions for reviews and comments."