Abstract

Abstract

Highlights

  • Slip behaviour in complex fluids has been attributed to various microscopic phenomena such as chain detachment/desorption at the polymer–wall interface in polymer melts (Hatzikiriakos 2012), migration/depletion of disperse phase away from the vicinity of the 911 A17-1E

  • Tammisola solid boundaries in suspensions (Vand 1948), and elastic deformation of the suspended soft particles lying on the smooth solid boundaries (Meeker, Bonnecaze & Cloitre 2004b) in pastes – yield-stress fluids

  • We proceed to investigate flows in complex geometries: the creeping flows about a circular cylinder and the pressure-driven flows in model and randomized porous media

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Summary

Introduction

Slip behaviour in complex fluids has been attributed to various microscopic phenomena such as chain detachment/desorption at the polymer–wall interface in polymer melts (Hatzikiriakos 2012), migration/depletion of disperse phase away from the vicinity of the. Christel et al (2012) proposed a polymethyl methacrylate (known as PMMA) treatment to reduce slip by exciting positive surface charges providing electrostatic interactions and squashing the lubricating layer. This is important since in a great number of laboratory experiments, polymethyl methacrylate is used due to its transparency properties which enable flow visualizations. Slip alters rheometric measurements, causing rheological properties of the samples to be inaccurately evaluated, sometimes even by one order of magnitude (Poumaere et al 2014) This issue has been discussed extensively in the literature, for instance recently by Medina-Bañuelos et al (2017, 2019). We proceed to investigate flows in complex geometries: the creeping flows about a circular cylinder and the pressure-driven flows in model and randomized porous media

General slip law for yield-stress fluids
Slip law and the numerical algorithm beyond 1-D
Benchmark problem: sliding channel Poiseuille flow
Slippery particle motion
Revisiting the slipline solution and lower- and upper-bound calculations
Results
Sliding flow in model porous media
Towards more complex geometries
Effect of slip
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