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A Thermodynamically Consistent, Microscopically-Based, Model of the Rheology of Aggregating Particles Suspensions.

Soham Jariwala1, Norman J Wagner1, Antony N Beris1

  • 1Center for Research in Soft Matter and Polymers (CRiSP), Department of Chemical and Biomolecular Engineering, University of Delaware, Newark, DE 19716, USA.

Entropy (Basel, Switzerland)
|May 28, 2022
PubMed
Summary

We developed a thermodynamically consistent model for aggregating particle suspensions. This model accurately predicts rheological behavior in various flow conditions, offering insights into dissipative processes.

Keywords:
TEVPaggregationbreakagepopulation balanceshear thinningthixotropyviscoelasticity

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Area of Science:

  • Thermodynamics
  • Materials Science
  • Fluid Mechanics

Background:

  • Particle suspensions exhibit complex rheological properties due to aggregation.
  • Existing models often lack thermodynamic consistency or detailed microstructure descriptions.

Purpose of the Study:

  • To develop a thermodynamically consistent microscopic model for aggregating particle suspensions.
  • To incorporate microstructure evolution and viscoelasticity into the model.
  • To validate the model's predictions against experimental observations.

Main Methods:

  • Utilized a population-balance approach for microstructure description.
  • Employed nonequilibrium thermodynamics with a single-generator bracket formalism.
  • Incorporated a lognormal distribution for aggregate sizes.
  • Used a conformation tensor for viscoelasticity of aggregates.

Main Results:

  • Formulated a thermodynamically consistent model for aggregating particle suspensions.
  • The model accurately predicts rheological behavior under shear and elongational flows.
  • Provided an expression for total entropy production to assess thermodynamic consistency.

Conclusions:

  • The developed model offers a robust framework for studying aggregating particle suspensions.
  • The model successfully captures the interplay between microstructure, viscoelasticity, and rheology.
  • Entropy production analysis validates the thermodynamic consistency and reveals dissipative phenomena.