Flow around a squirmer in a shear-thinning fluid

被引:23
|
作者
Pietrzyk, Kyle [1 ]
Nganguia, Herve [2 ]
Datt, Charu [4 ]
Zhu, Lailai [3 ]
Elfring, Gwynn J. [4 ]
Pak, On Shun [1 ]
机构
[1] Santa Clara Univ, Dept Mech Engn, Santa Clara, CA 95053 USA
[2] Indiana Univ Penn, Dept Math & Comp Sci, Indiana, PA 15705 USA
[3] KTH Mech, SE-10044 Stockholm, Sweden
[4] Univ British Columbia, Dept Mech Engn, Vancouver, BC V6T 1Z4, Canada
基金
加拿大自然科学与工程研究理事会; 瑞典研究理事会; 美国国家科学基金会;
关键词
Locomotion; Shear-thinning; Carreau model; UNDULATORY SWIMMERS; PROPULSION; DYNAMICS; MOTION; WALL;
D O I
10.1016/j.jnnfm.2019.04.005
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
Many biological fluids display shear-thinning rheology, where the viscosity decreases with an increasing shear rate. To better understand how this non-Newtonian rheology affects the motion of biological and artificial micro swimmers, recent efforts have begun to seek answers to fundamental questions about active bodies in shear-thinning fluids. Previous analyses based on a squirmer model have revealed non-trivial variations of propulsion characteristics in a shear-thinning fluid via the reciprocal theorem. However, the reciprocal theorem approach does not provide knowledge about the flow surrounding the squirmer. In this work, we fill in this missing information by calculating the non-Newtonian correction to the flow analytically in the asymptotic limit of small Carreau number. In particular, we investigate the local effect due to viscosity reduction and the non-local effect due to induced changes in the flow; we then quantify their relative importance to locomotion in a shear-thinning fluid. Our results demonstrate cases where the non-local effect can be more significant than the local effect. These findings suggest that caution should be exercised when developing physical intuition from the local viscosity distribution alone around a swimmer in a shear-thinning fluid.
引用
收藏
页码:101 / 110
页数:10
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