A bootstrap mechanism for non-colloidal suspension viscosity

Roger Tanner*, Christopher Ness, Arif Mahmud, Shaocong Dai, Jiyoung Moon

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

The role of friction in non-colloidal suspensions is examined with a model which splits the viscosity into a frictionless component (*) plus a frictional component which depends on the ratio of the particle pressure (P) to the shear stress (). The model needs the input by computation of * and P and a suitable choice of particle friction coefficient (). It can be extended to elongational flows and cases where sphere roughness is important; volume fractions up to 0.5 are considered. It is shown that friction acts in a feedback or bootstrap manner to increase the suspension viscosity. The analysis is also useful for deducing the friction coefficient in suspensions from experimental data. It was applied to several sets of experimental data and reasonable correlations of the viscosities were demonstrated. An example of the correlation for spheres in a silicone oil is shown for volume fractions 0.1-0.5.

Original languageEnglish
Pages (from-to)635-643
Number of pages9
JournalRheologica acta
Volume57
Issue number10
Early online date24 Aug 2018
DOIs
Publication statusPublished - Oct 2018

Keywords

  • Suspensions
  • Shear viscosity
  • Elongational flow
  • Friction
  • NON-BROWNIAN SUSPENSIONS
  • CONCENTRATED SUSPENSIONS
  • NONCOLLOIDAL SUSPENSIONS
  • VISCOMETRIC FUNCTIONS
  • NEWTONIAN MATRICES
  • RHEOLOGY
  • PARTICLES
  • SPHERES
  • FLOWS
  • ROUGHNESS

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