Numerical simulations of the dynamics of a slippery particle in Newtonian and viscoelastic fluids subjected to shear and Poiseuille flows

M. Trofa, G. D`Avino, M.A. Hulsen, F. Greco, P.L. Maffettone

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11 Citations (Scopus)
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Abstract

We study the dynamics of a slippery spherical particle suspended in an inertialess Newtonian or viscoelastic shear-thinning fluid, under shear or Poiseuille flow, by means of 3D direct numerical simulations. In particular, we investigate on the effect of particle slip on the cross-stream migration induced by fluid viscoelasticity. The governing equations are solved through the finite element method, by adopting an Arbitrary Lagrangian-Eulerian (ALE) formulation to handle the particle motion.

In shear flow, the migration dynamics is qualitatively unchanged as compared to the no-slip case, i.e. the particle always moves towards the nearest wall regardless of the initial position. For increasing slip, the migration velocity first reaches a maximum, and then decreases to values lower than the no-slip one. Thus, a pronounced particle slip slows down the migration phenomenon.

In Poiseuille flow, at variance with the no-slip case for a shear-thinning viscoelastic fluid, the tube wall becomes a `hydrodynamic repulsor' for high slip values, and all the particles migrate towards the channel centerline (`attractor'). In this sense, slippery particles are more easily aligned along the channel centerline than no-slip particles.
Original languageEnglish
Pages (from-to)46–54
JournalJournal of Non-Newtonian Fluid Mechanics
Volume228
DOIs
Publication statusPublished - 2016

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