2016
DOI: 10.1039/c6sm01199c
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Coupled dynamics of flow, microstructure, and conductivity in sheared suspensions

Abstract: We propose a model for the evolution of the conductivity tensor for a flowing suspension of electrically conductive particles. We use discrete particle numerical simulations together with a continuum physical framework to construct an evolution law for the suspension microstructure during flow. This model is then coupled with a relationship between the microstructure and the electrical conductivity tensor. Certain parameters of the joint model are fit experimentally using rheo-electrical conductivity measureme… Show more

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Cited by 9 publications
(5 citation statements)
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References 49 publications
(59 reference statements)
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“…To further characterize the microstructure of a suspension, we employ the fabric tensor concept, which was originally introduced for the contact network of granular materials. 48,49 The fabric tensor A p can be computed at the particle level using the following expression, 31,50,51 where N b is the number of the particles in contact, n i is the unit vector connecting the center of a particle to the center of its i th bond neighbors, and ⊗ denotes the dyadic product. The system-sized fabric tensor A can be then derived by averaging the particle-level fabric tensors over the particle ensemble,…”
Section: Resultsmentioning
confidence: 99%
“…To further characterize the microstructure of a suspension, we employ the fabric tensor concept, which was originally introduced for the contact network of granular materials. 48,49 The fabric tensor A p can be computed at the particle level using the following expression, 31,50,51 where N b is the number of the particles in contact, n i is the unit vector connecting the center of a particle to the center of its i th bond neighbors, and ⊗ denotes the dyadic product. The system-sized fabric tensor A can be then derived by averaging the particle-level fabric tensors over the particle ensemble,…”
Section: Resultsmentioning
confidence: 99%
“…Such anisotropic conductivity induced by shear has been studied previously using random computer-generated particle suspension networks. 48,49 We also count the number of particles in all clusters and calculated the percentage of particles involved in a cluster family, including the isolated single particles for reference. The result is plotted in Fig.…”
Section: Resultsmentioning
confidence: 99%
“…Examples include polymer processing of highly-filled viscoelastic melts and elastomers [1], the processing of semi-solid conductive flow battery slurries [2], the flow-induced migration of circulating cancer cells in biopolymeric media such as blood [3], magma eruption dynamics [4], and hydraulic fracturing operations using solids-filled muds, slurries and foams [5,6].…”
Section: Introductionmentioning
confidence: 99%