Flows of Linear Polymer Solutions and Other Suspensions of Rod-like Particles: Anisotropic Micropolar-Fluid Theory Approach

We formulate equations governing flows of suspensions of rod-like particles. Such suspensions include linear polymer solutions, FD-virus, and worm-like micelles. To take into account the particles that form and their rotation, we treat the suspension as a Cosserat continuum and apply the theory of m...

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Autor principal: Vladimir Shelukhin
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Lenguaje:EN
Publicado: MDPI AG 2021
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spelling oai:doaj.org-article:4a0108ad2c394c729218180d9fa712ad2021-11-11T18:43:42ZFlows of Linear Polymer Solutions and Other Suspensions of Rod-like Particles: Anisotropic Micropolar-Fluid Theory Approach10.3390/polym132136792073-4360https://doaj.org/article/4a0108ad2c394c729218180d9fa712ad2021-10-01T00:00:00Zhttps://www.mdpi.com/2073-4360/13/21/3679https://doaj.org/toc/2073-4360We formulate equations governing flows of suspensions of rod-like particles. Such suspensions include linear polymer solutions, FD-virus, and worm-like micelles. To take into account the particles that form and their rotation, we treat the suspension as a Cosserat continuum and apply the theory of micropolar fluids. Anisotropy of suspensions is determined through the inclusion of the microinertia tensor in the rheological constitutive equations. We check that the model is consistent with the basic principles of thermodynamics. In addition to anisotropy, the theory also captures gradient banding instability, coexistence of isotropic and nematic phases, sustained temporal oscillations of macroscopic viscosity, shear thinning and hysteresis. For the flow between two planes, we also establish that the total flow rate depends not only on the pressure gradient, but on the history of its variation as well.Vladimir ShelukhinMDPI AGarticlesuspensionrodlike particlesrheologymicropolar fluidsanisotropyhysteresisOrganic chemistryQD241-441ENPolymers, Vol 13, Iss 3679, p 3679 (2021)
institution DOAJ
collection DOAJ
language EN
topic suspension
rodlike particles
rheology
micropolar fluids
anisotropy
hysteresis
Organic chemistry
QD241-441
spellingShingle suspension
rodlike particles
rheology
micropolar fluids
anisotropy
hysteresis
Organic chemistry
QD241-441
Vladimir Shelukhin
Flows of Linear Polymer Solutions and Other Suspensions of Rod-like Particles: Anisotropic Micropolar-Fluid Theory Approach
description We formulate equations governing flows of suspensions of rod-like particles. Such suspensions include linear polymer solutions, FD-virus, and worm-like micelles. To take into account the particles that form and their rotation, we treat the suspension as a Cosserat continuum and apply the theory of micropolar fluids. Anisotropy of suspensions is determined through the inclusion of the microinertia tensor in the rheological constitutive equations. We check that the model is consistent with the basic principles of thermodynamics. In addition to anisotropy, the theory also captures gradient banding instability, coexistence of isotropic and nematic phases, sustained temporal oscillations of macroscopic viscosity, shear thinning and hysteresis. For the flow between two planes, we also establish that the total flow rate depends not only on the pressure gradient, but on the history of its variation as well.
format article
author Vladimir Shelukhin
author_facet Vladimir Shelukhin
author_sort Vladimir Shelukhin
title Flows of Linear Polymer Solutions and Other Suspensions of Rod-like Particles: Anisotropic Micropolar-Fluid Theory Approach
title_short Flows of Linear Polymer Solutions and Other Suspensions of Rod-like Particles: Anisotropic Micropolar-Fluid Theory Approach
title_full Flows of Linear Polymer Solutions and Other Suspensions of Rod-like Particles: Anisotropic Micropolar-Fluid Theory Approach
title_fullStr Flows of Linear Polymer Solutions and Other Suspensions of Rod-like Particles: Anisotropic Micropolar-Fluid Theory Approach
title_full_unstemmed Flows of Linear Polymer Solutions and Other Suspensions of Rod-like Particles: Anisotropic Micropolar-Fluid Theory Approach
title_sort flows of linear polymer solutions and other suspensions of rod-like particles: anisotropic micropolar-fluid theory approach
publisher MDPI AG
publishDate 2021
url https://doaj.org/article/4a0108ad2c394c729218180d9fa712ad
work_keys_str_mv AT vladimirshelukhin flowsoflinearpolymersolutionsandothersuspensionsofrodlikeparticlesanisotropicmicropolarfluidtheoryapproach
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