Microscopic mechanism for the shear-thickening of non-Brownian suspensions
Nicolas Fernandez, Roman Mani, David Rinaldi, Dirk Kadau, Martin, Mosquet, Helene Lombois-Burger, Juliette Cayer-Barrioz, Hans J. Herrmann,, Nicholas D. Spencer, Lucio Isa

TL;DR
This paper presents a model supported by simulations and experiments that explains the transition from continuous to discontinuous shear-thickening in dense suspensions, linking it to lubrication regimes and frictional properties at the particle contacts.
Contribution
It introduces a local Sommerfeld number to predict shear-thickening transition and demonstrates how volume fraction and boundary friction influence the nature of this transition.
Findings
Identification of a local Sommerfeld number governing shear-thickening transition
Demonstration that volume fraction affects the transition type
Experimental validation of the frictional control on shear-thickening
Abstract
We propose a simple model, supported by contact-dynamics simulations as well as rheology and friction measurements, that links the transition from continuous to discontinuous shear-thickening in dense granular pastes to distinct lubrication regimes in the particle contacts. We identify a local Sommerfeld number that determines the transition from Newtonian to shear-thickening flows, and then show that the suspension's volume fraction and the boundary lubrication friction coefficient control the nature of the shear-thickening transition, both in simulations and experiments.
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