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- Title
A constitutive equation for thixotropic suspensions with yield stress by coarse-graining a population balance model.
- Authors
Mwasame, Paul M.; Beris, Antony N.; Diemer, R. Betrum; Wagner, Norman J.
- Abstract
A population balance model appropriate for the shear flow of thixotropic colloidal suspensions with yield stress is derived and tested against experimental data on a model system available in the literature. Modifications are made to account for dynamic arrest at the onset of the yield stress, in addition to enforcing a minimum particle size below which breakage is not feasible. The resulting constitutive model also incorporates a structural based relaxation time, unlike existing phenomenological models that use the inverse of the material shear rate as the relaxation time. The model provides a reasonable representation of experimental data for a model thixotropic suspension in the literature, capturing the important thixotropic timescales. When compared to prevalent structure kinetics models, the coarse-grained population balance equation is shown to be distinct, emphasizing the novelty of utilizing population balances as a basis for thixotropic suspension modeling. © 2016 American Institute of Chemical Engineers AIChE J, 63: 517-531, 2017
- Subjects
THIXOTROPIC gels; YIELD stress; SHEAR flow; VISCOSITY; YIELD strength (Engineering)
- Publication
AIChE Journal, 2017, Vol 63, Issue 2, p517
- ISSN
0001-1541
- Publication type
Article
- DOI
10.1002/aic.15574