Publication Date:
2017-02-09
Description:
We have recently discovered that the implicit assumption that N2 D0 for a monolayer suspension in the paper by Wilson & Davis (2002) was an error: the repercussions of this error are corrected below. For dilute systems, we neglected to calculate the second normal stress difference, which is negative. In concentrated systems, the viscosity is rather larger than reported (although the trends remain the same), and the second normal stress difference is negative; but the first normal stress difference N1 is now observed to change sign and become positive for concentrated systems. The behaviour of the viscosity and of N1 are of particular interest in the light of developments in the field since the publication of the original paper. There has been a growth of interest in the influence of roughness on suspension rheology via solid contact and friction, and its role in strong shear thickening. Since our original paper, experiments by Lootens et al. (2005) were able to make the first quantitative measurements of normal stress differences in a jamming suspension by using artificially roughened particles. They found negative N1 at low shear rates far from the jamming transition, but large positive fluctuations of N1 during jamming. Much more recently, Royer, Blair & Hudson (2016) carried out experiments on continuously shear-thickening suspensions; they also found a transition in N1 from negative to positive with increasing volume fraction and shear rate, but in this case without any associated sharp change in the viscosity. This behaviour has also been replicated in simulations by Mari et al. (2015), using a model which needs to incorporate both frictional contact and hydrodynamic forces, but also Brownian motion and a short-range colloidal repulsive force. Equation and figure numbers preceded by the letter C denote corrected versions of the original items; additional equations are numbered with a following letter. In addition to the material changes already mentioned, there was a small typographical error in equation (2.8): (Formula Presented). (Figure Presented). Concentrated systems For concentrated suspensions, there was a coding error corresponding to the assumption of zero second normal stress difference. When corrected, this makes only minor quantitative changes to the viscosity; however, the first normal stress difference N1, which was reported as negative, is now found to be positive for denser suspensions (shown in figure C5). In addition, we report that the second normal stress difference N2 is negative, shown in new figure C5A. © 2017 Cambridge University Press.
Print ISSN:
0022-1120
Electronic ISSN:
1469-7645
Topics:
Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
,
Physics
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