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Flow around a squirmer in a shear-thinning fluid
Santa Clara Univ, Dept Mech Engn, Santa Clara, CA 95053 USA..
Indiana Univ Penn, Dept Math & Comp Sci, Indiana, PA 15705 USA..
Univ British Columbia, Dept Mech Engn, Vancouver, BC V6T 1Z4, Canada..
KTH, School of Engineering Sciences (SCI), Mechanics.ORCID iD: 0000-0002-3443-0709
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2019 (English)In: Journal of Non-Newtonian Fluid Mechanics, ISSN 0377-0257, E-ISSN 1873-2631, Vol. 268, p. 101-110Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
Elsevier, 2019. Vol. 268, p. 101-110
Keywords [en]
Locomotion, Shear-thinning, Carreau model
National Category
Fluid Mechanics and Acoustics
Identifiers
URN: urn:nbn:se:kth:diva-255331DOI: 10.1016/j.jnnfm.2019.04.005ISI: 000472699500009Scopus ID: 2-s2.0-85066325898OAI: oai:DiVA.org:kth-255331DiVA, id: diva2:1339597
Note

QC 20190730

Available from: 2019-07-30 Created: 2019-07-30 Last updated: 2019-07-30Bibliographically approved

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Zhu, Lailai

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