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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†

M. Ellero‡

  • 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

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

  • 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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Phys. Rev. Fluids 3, 123302 – Published 10 December, 2018

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

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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Phys. Rev. Fluids 3, 123302– Published 10 December, 2018
  • Received 21 March 2018
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