Shear Thickening and Scaling of the Elastic Modulus in a Fractal Colloidal System with Attractive Interactions

Details Shear Thickening and Scaling of the Elastic Modulus in a Fractal Colloidal System with Attractive Interactions Shear Thickening and Scaling of the Elastic Modulus in a Fractal Colloidal System with Attractive Interactions

2007-09-29

arxiv.org/abs/0710.0042v2

Physics

Condensed Matter

Soft Condensed Matter

5 pages, 5 figures; v2: treating low shear rate date separately; edited title; reworked figures

Scientific paper

10.1103/PhysRevE.77.060402

Dilute oil dispersions of fractal carbon black particles with attractive Van der Waals interactions display continuous shear thickening followed by shear thinning at high shear rates. The shear thickening transition occurs at $\dot\gamma_{c}\approx 10^{2}-10^{3}s^{-1}$ and is driven by hydrodynamic breakup of clusters. Pre-shearing dispersions at shear rates $\dot\gamma>\dot\gamma_{c}$ produces enhanced-modulus gels where $G' \sim \sigma_{pre-shear}^{1.5-2}$ and is directly proportional to the residual stress in the gel measured at a fixed sample age. The observed data can be accounted for using a simple scaling model for the breakup of fractal clusters under shear stress.

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