Apparent slip mechanism between two spheres based on solvent rheology: Theory and implication for the shear thinning of non-Brownian suspensions

A. Vázquez-Quesada, Pep Español, and M. Ellero
Phys. Rev. Fluids 3, 123302 – Published 10 December 2018

Abstract

Analytical results for the apparent slip between two spheres in a simple biviscous model of a shear-thinning fluid are presented. Velocity profiles and apparent slip lengths along the surfaces are analyzed in order to characterize the physical mechanism. It is shown that in this non-Newtonian model, the effect of shear thinning limited to high-shear rates in the interstitial regions between close spheres can be alternatively interpreted as the onset of an apparent shear-rate-dependent slippage effect. The results of the theory compare well with experiments from the literature showing the presence of surface slip on a particle approaching a planar wall. In terms of implications for suspensions rheology, the present results bridge the “hidden” solvent shear-thinning theory [Vázquez-Quesada et al., Phys. Rev. Lett. 117, 108001 (2016)] with slip-based models presented recently [Kroupa et al., Phys. Chem. Chem. Phys. 19, 5979 (2017)] as a possible explanation for the mechanism behind the shear thinning in hard-sphere non-Brownian suspensions.

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  • Received 21 March 2018

DOI:https://doi.org/10.1103/PhysRevFluids.3.123302

©2018 American Physical Society

Physics Subject Headings (PhySH)

  1. Physical Systems
Fluid Dynamics

Authors & Affiliations

A. Vázquez-Quesada*

  • Zienkiewicz Centre for Computational Engineering (ZCCE), Swansea University, Bay Campus, Swansea SA1 8EN, United Kingdom and Department of Theoretical Condensed Matter Physics, Universidad Autónoma de Madrid, 28049 Madrid, Spain

Pep Español

  • Departamento de Física Fundamental, UNED, Apartado 60141, Madrid 28080, Spain

M. Ellero

  • Basque Center for Applied Mathematics (BCAM), Alameda de Mazarredo 14, 48400 Bilbao, Spain; IKERBASQUE, Basque Foundation for Science, Calle de María Díaz de Haro 3, 48013 Bilbao, Spain; and Zienkiewicz Centre for Computational Engineering (ZCCE), Swansea University, Bay Campus, Swansea SA1 8EN, United Kingdom

  • *adolfo.vazquez@uam.es
  • pep@fisfun.uned.es
  • mellero@bcamath.org

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Issue

Vol. 3, Iss. 12 — December 2018

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