A polydisperse model for thixotropic elasto-viscoplastic suspensions of aggregating particles using population balances

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Author(s)Jariwala, Soham
Author(s)Song, Rong
Author(s)Hipp, Julie B.
Author(s)Diemer, R. Bertrum
Author(s)Wagner, Norman J.
Author(s)Beris, Antony N.
Date Accessioned2024-02-26T17:52:42Z
Date Available2024-02-26T17:52:42Z
Publication Date2023-09-18
DescriptionThis 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.
AbstractAn 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).
SponsorSoham Jariwala, Antony N. Beris, and Norman J. Wagner gratefully acknowledge the support of the National Science Foundation (NSF) through the award CBET 1804911. Julie B. Hipp and Norman J. Wagner acknowledge the support of the National Institute of Standards and Technology, U.S. Department of Commerce, in providing the neutron research facilities used in this work under cooperative agreement no. 370NANB17H302. This work utilized facilities supported in part by the National Science Foundation under Agreement No. DMR-0944772. The statements, findings, conclusions, and recommendations are those of the authors and do not necessarily reflect the view of NSF, NIST, or the U.S. Department of Commerce.
CitationJariwala 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
ISSN1547-5905
URLhttps://udspace.udel.edu/handle/19716/34019
Languageen_US
PublisherAIChE Journal
Keywordscolloids
Keywordspopulation balance modeling
Keywordsrheology
Keywordssuspensions
Keywordsthixotropy
TitleA polydisperse model for thixotropic elasto-viscoplastic suspensions of aggregating particles using population balances
TypeArticle
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