Mil-Martínez, Alejandra M., Vargas, René O., Gómez-López, Aldo, Escandón, Juan P., Martínez-Suástegui, Lorenzo and Phillips, Timothy  ORCID: https://orcid.org/0000-0001-6455-1205
2026.
Rheo-kinetic predictions using a finitely extensible nonlinear elastic transient network model, Part I: Simple shear flow.
Journal of Non-Newtonian Fluid Mechanics
348
, 105566.
10.1016/j.jnnfm.2026.105566
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Abstract
This study presents multiscale simulations of complex fluids confined between parallel plates under simple shear flow, employing a finitely extensible nonlinear elastic (FENE) transient network model. The model integrates microscopic kinetic equations for microstructural breaking and recombination processes with macroscopic flow equations, enabling the prediction of nonlinear velocity and stress fluctuations. A hybrid micro–macro numerical framework is developed to capture the coupling between microstructural dynamics and macroscopic rheology. Numerical experiments explore the influence of kinetic rate constants, viscosity ratio, elasticity, extension length, and inertia on flow instabilities. The results reveal that considering viscosity as a function of microstructural kinetics induces fluctuations in the velocity field. These fluctuations occur when the rate of interaction between microstructures reaches a certain value. The fluctuations decrease when the system is dilute or elasticity is increased, and increase for short microstructural chain extensions and increasing inertia. These findings establish a direct connection between molecular-scale restructuring and macroscopic flow, thereby contributing to the fundamental understanding of flow instabilities and providing guidance for modelling complex fluids.
| Item Type: | Article |
|---|---|
| Date Type: | Publication |
| Status: | Published |
| Schools: | Schools > Mathematics |
| Subjects: | Q Science > QA Mathematics |
| Publisher: | Elsevier |
| ISSN: | 0377-0257 |
| Date of First Compliant Deposit: | 6 February 2026 |
| Date of Acceptance: | 2 February 2026 |
| Last Modified: | 09 Feb 2026 15:15 |
| URI: | https://orca.cardiff.ac.uk/id/eprint/184484 |
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