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Shear banding predictions for wormlike micellar systems under a contraction–expansion complex flow

J. Esteban López-Aguilar Orcid Logo, Hamid Tamaddon Jahromi, Octavio Manero Orcid Logo

Physics of Fluids, Volume: 35, Issue: 6

Swansea University Author: Hamid Tamaddon Jahromi

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DOI (Published version): 10.1063/5.0143432

Abstract

This study focuses on computational modeling of shear-banded wormlike micellar solutions (WLM) in a complex planar Couette flow, driven by a moving top plate over a rounded-corner 4:1:4 obstruction. The BMP+_τp model is used, which is constructed within an Oldroyd-B-like form, coupled with a thixotr...

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Published in: Physics of Fluids
ISSN: 1070-6631 1089-7666
Published: AIP Publishing 2023
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URI: https://cronfa.swan.ac.uk/Record/cronfa63707
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Abstract: This study focuses on computational modeling of shear-banded wormlike micellar solutions (WLM) in a complex planar Couette flow, driven by a moving top plate over a rounded-corner 4:1:4 obstruction. The BMP+_τp model is used, which is constructed within an Oldroyd-B-like form, coupled with a thixotropic fluidity-based structure equation. Solute energy dissipation drives fluid-structure adjustment in a construction-destruction dynamics affected by viscoelasticity. This model reproduces conventional WLM features, such as shear thinning, extensional hardening/softening, viscoelasticity, apparent yield stress, and shear banding, with a bounded extensional viscosity and an N1Shear upturn at high deformation rates. The BMP+_τp characterization for shear banding is based on extremely low solvent fractions and appropriate shear-banding intensity parameters. Flow structure is analyzed through velocity, stress, and fluidity, whereupon banded and non-banded response is contrasted at appropriately selected flow rates. Solutions are obtained with our hybrid fe-fv algorithm, capturing essential shear-banded flow features reported experimentally. For a fluid exhibiting banding, banded solutions are generated at a flow rate within the flow curve unstable branch. In the fully developed simple shear flow regions, a split velocity profile is observed, with different viscosity bands at equal stress levels, enhanced with a shock-capture procedure. Non-banded solutions are derived for the lowest and highest flow rates sampled, located in the stable branches. Within the constriction zone, banded profiles are lost due to the mixed non-homogeneous deformation. Shear-banding fluids display less intense viscosity/stress features, correlated with their relatively stronger shear thinning response. The constriction resistance provokes a pressure-level adjustment, leading to fully developed Couette-like constant values upstream-downstream.
College: Faculty of Science and Engineering
Funders: Consejo Nacional de Ciencia y Tecnología [CONAHCYT, Mexico—Grant No. CF-2023-I-318 “Reología computacional de fluidos complejos: determinación de propiedades reológicas extensionales de mucosa y generación de biomarcadores para la prevención y tratamiento de enfermedades respiratorias (COVID-19 y EPOC)”] Universidad Nacional Autónoma de México UNAM (Grant Nos. PAPIIT IA102022 and PAIP 5000-9172 Facultad de Química). UNAM under the project with Grant No. PAPIIT IN100623. Published open access through an agreement with Centro de Informacion Cientifica y Humanistica
Issue: 6