Flow induced by an oscillating sphere in probing complex viscosity of polymer solutions

Yanzhen He, Lu Li, Takashi Taniguchi, Remco Tuinier, and Tai-Hsi Fan
Phys. Rev. Fluids 5, 013302 – Published 7 January 2020

Abstract

A theoretical investigation is presented for a linear viscoelastic flow induced by an oscillatory colloidal particle in nonadsorbing polymer solutions. At small-amplitude oscillations, the polymer distribution is assumed to be at equilibrium and forms a depletion zone around the particle based on the mean-field approximation. The goal of the theoretical approach is to predict the apparent complex viscosity sensed by the particle and compare this with the actual viscosity of the bulk fluid. Due to the local inhomogeneity, substantial deviation between the apparent and true viscosity in the bulk needs to be corrected quantitatively. The resulting apparent complex viscosity or friction coefficient in the Fourier domain will help to interpret active and passive microrheological measurements of colloid-polymer mixtures that take polymer depletion into account.

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  • Received 17 January 2016

DOI:https://doi.org/10.1103/PhysRevFluids.5.013302

©2020 American Physical Society

Physics Subject Headings (PhySH)

Fluid Dynamics

Authors & Affiliations

Yanzhen He1, Lu Li1, Takashi Taniguchi2, Remco Tuinier3,4, and Tai-Hsi Fan1,*

  • 1Department of Mechanical Engineering, University of Connecticut, Storrs, Connecticut 06269, USA
  • 2Department of Chemical Engineering, Kyoto University, Kyoto 615-8510, Japan
  • 3Laboratory of Physical Chemistry, Department of Chemical Engineering and Chemistry & Institute for Complex Molecular Systems, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands
  • 4Van't Hoff Laboratory for Physical and Colloid Chemistry, Debye Institute, Department of Chemistry, Utrecht University, The Netherlands

  • *Corresponding author: thfan@engr.uconn.edu

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Issue

Vol. 5, Iss. 1 — January 2020

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