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A comparative numerical study of time-dependent structured fluids in complex flows

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

Rheologica Acta, Volume: 55, Issue: 3, Pages: 197 - 214

Swansea University Authors: Michael Webster Orcid Logo, Hamid Tamaddon-Jahromi

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DOI (Published version): 10.1007/s00397-015-0908-1

Abstract

This study is concerned with the modelling of thixotropic and viscoelastoplastic material systems, contrasting two approaches in the development of such constitutive models. Accordingly, departure from Oldroyd-B-like behaviour is engineered through, first, a new micellar viscoelastic-thixotropic mod...

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Published in: Rheologica Acta
Published: 2016
URI: https://cronfa.swan.ac.uk/Record/cronfa27557
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Abstract: This study is concerned with the modelling of thixotropic and viscoelastoplastic material systems, contrasting two approaches in the development of such constitutive models. Accordingly, departure from Oldroyd-B-like behaviour is engineered through, first, a new micellar viscoelastic-thixotropic model (NM_p_ABS), under the Bautista-Manero framework, and second, a De Souza model. This NM_p_ABS model, is based on the energy dissipated by a micellar material to change its internal structure, whilst equivalently, the De Souza model employs the second invariant of stress. These models are compared and contrasted in their response through counterpart numerical solutions for axisymmetric contraction-expansion flow. Here, solution features of yielded-unyielded regions, total pressure drop, stress fields and vortex dynamics are analysed under scaling based on the second-Newtonian viscosity-plateau (s). With the NM_p_ABS model, yield stress features are identified through solvent-fraction -variation. In contrast for the De Souza model, counterpart yield-stress features are exposed through yield-stress d-variation. With either yield-stress increase or rise in elasticity, NM_p_ABS solution response appears symmetrical about the contraction-plane axis, whilst De Souza patterns prove asymmetrical. Under solvent-fraction decrease, NM_p_ABS response provides yielded-region shrinkage, upstream and downstream vortex suppression, and non-zero N1-region growth. Moreover under elasticity rise, fading non-zero N1-regions, size-invariant yield-fronts and non-zero N1-regions are observed. In contrast under d increase or rise in elasticity, De Souza solutions manifest enhancement in vortex activity, and non-zero N1-region-intensification and expansion. Furthermore, d-rise provokes De Souza yielded-region shrinkage, whilst elasticity does the opposite. On total pressure-drop (Δp), for NM_p_ABS and with polymeric-fraction increase at fixed Wi, both monotonic rise at low-Wi and decline at higher-Wi are gathered. In contrast, only a monotonic rising trend is recorded with De Souza Δp-solutions for fixed Wi under 0d-rise. Furthermore, with Wi-rise and at any fixed 0eff-level, both models concur in a declining Δp-trend.
Keywords: Yield fronts, yield stress, wormlike micelles, Bautista-Manero & De Souza models, hybrid finite element/volume method, enhanced oil-recovery, thixotropy
College: Faculty of Science and Engineering
Issue: 3
Start Page: 197
End Page: 214