Reversible shear thickening is common in concentrated dispersions of Brownian hard-spheres at high-shear rates. We confirm the existence of a well-defined colloidal shear-thickened state through experimental measurements of the shear stress and the first and second normal stress differences in the shear-thickened state as a function of the particle volume fraction for a model dispersion of near hard-spheres. The shear stress and normal stress differences are observed to grow linearly with the shear rate in the shear-thickened state and both normal stress differences are observed to be negative. Our experimental results show the shear-thickened state of colloidal dispersions can be described by three material properties—the shear viscosity and first and second normal stress difference coefficients—that are a function of the volume fraction. All three material properties are found to diverge with a power law scaling as close to maximum packing, , which is found to be 0.54 ± 0.01. We find r,sts > 2,sts > 1,sts. These results are consistent with theoretical predictions for shear thickening by hydrocluster formation and quantitatively comparable to Stokesian Dynamics simulations. We further postulate and show that these material properties are consistent with those measured for non-Brownian suspensions.
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July 2014
Research Article|
July 01 2014
Material properties of the shear-thickened state in concentrated near hard-sphere colloidal dispersions
Colin D. Cwalina;
Colin D. Cwalina
Department of Chemical and Biomolecular Engineering
, Center for Molecular Engineering and Thermodynamics, University of Delaware
, Newark, Delaware 19716
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Norman J. Wagner
Norman J. Wagner
a)
Department of Chemical and Biomolecular Engineering
, Center for Molecular Engineering and Thermodynamics, University of Delaware
, Newark, Delaware 19716
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a)
Author to whom correspondence should be addressed; electronic mail: wagnernj@udel.edu
J. Rheol. 58, 949–967 (2014)
Article history
Received:
March 02 2014
Accepted:
April 29 2014
Citation
Colin D. Cwalina, Norman J. Wagner; Material properties of the shear-thickened state in concentrated near hard-sphere colloidal dispersions. J. Rheol. 1 July 2014; 58 (4): 949–967. https://doi.org/10.1122/1.4876935
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