Modeling tensorial conductivity of particle suspension networks
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Kamrin_Modeling tensorial.pdf
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Author(s) •
Olsen, Tyler John
Kamrin, Kenneth N
Date Issued
March 2015
Journal
Soft Matter
Publisher
Royal Society of Chemistry
Citation
Olsen, Tyler and Kamrin, Ken. “Modeling Tensorial Conductivity of Particle Suspension Networks.” Soft Matter 11, 19 (March 2015): 3875–3883 © 2015
The Royal Society of Chemistry
Version
Author's final manuscript
Abstract
Significant microstructural anisotropy is known to develop during shearing flow of attractive particle suspensions. These suspensions, and their capacity to form conductive networks, play a key role in flow-battery technology, among other applications. Herein, we present and test an analytical model for the tensorial conductivity of attractive particle suspensions. The model utilizes the mean fabric of the network to characterize the structure, and the relationship to the conductivity is inspired by a lattice argument. We test the accuracy of our model against a large number of computer-generated suspension networks, based on multiple in-house generation protocols, giving rise to particle networks that emulate the physical system. The model is shown to adequately capture the tensorial conductivity, both in terms of its invariants and its mean directionality.
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
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DOI of Published Version
https://doi.org/10.1039/c5sm00093a