A polydisperse model for thixotropic elasto-viscoplastic suspensions of aggregating particles using population balances
Date
2023-09-18
Journal Title
Journal ISSN
Volume Title
Publisher
AIChE Journal
Abstract
An improved population balance-based rheological constitutive framework for polydisperse aggregating suspensions is derived by incorporating detailed models for orthokinetic and perikinetic aggregation and shear breakage processes. The framework accounts for critical properties such as dynamic arrest, viscoelasticity, kinematic hardening, thixotropy, and yield stress to generate a full range of thixotropic elasto-viscoplastic (TEVP) response. Additionally, the model is thermodynamically consistent because the dynamics and timescales are completely determined by internal structural and kinetic variables. The model connects the rheological response to the structural descriptors such as the size distribution of agglomerates, mean sizes, fractal dimension, and agglomerate volume fraction. Predictions are compared against a wide range of shear rheology measurements data for model thixotropic suspensions of fumed silica and carbon black, including large amplitude oscillatory shear (LAOS), as well as ultra-small angle neutron scattering under steady shear (Rheo-uSANS).
Description
This is the peer reviewed version of the following article: Jariwala S, Song R, Hipp JB, Diemer RB, Wagner NJ, Beris AN. A polydisperse model for thixotropic elasto-viscoplastic suspensions of aggregating particles using population balances. AIChE J. 2023; 69(10):e18184. doi:10.1002/aic.18184, which has been published in final form at https://doi.org/10.1002/aic.18184. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions. This article may not be enhanced, enriched or otherwise transformed into a derivative work, without express permission from Wiley or by statutory rights under applicable legislation. Copyright notices must not be removed, obscured or modified. The article must be linked to Wiley’s version of record on Wiley Online Library and any embedding, framing or otherwise making available the article or pages thereof by third parties from platforms, services and websites other than Wiley Online Library must be prohibited. © 2023 American Institute of Chemical Engineers. This article will be embargoed until 09/18/2024.
Keywords
colloids, population balance modeling, rheology, suspensions, thixotropy
Citation
Jariwala S, Song R, Hipp JB, Diemer RB, Wagner NJ, Beris AN. A polydisperse model for thixotropic elasto-viscoplastic suspensions of aggregating particles using population balances. AIChE J. 2023; 69(10):e18184. doi:10.1002/aic.18184