Stability analysis of flow of active extensile fibers in confined domains

In this article, we study shear flow of active extensile filaments confined in a narrow channel. They behave as nematic liquid crystals that we assumed are governed by the Ericksen-Leslie equations of balance of linear and angular momentum. The addition of an activity source term in the Leslie stres...

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Autores: Zhao, Longhua, Yao, Lingxing, Golovaty, Dmitry, Ignés i Mullol, Jordi, Sagués i Mestre, Francesc, Calderer, M. Carme
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2020
País:España
Recursos:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/183589
Acesso em linha:https://hdl.handle.net/2445/183589
Access Level:acceso abierto
Palavra-chave:Cristalls líquids
Fibres
Sistemes no lineals
Liquid crystals
Fibers
Nonlinear systems
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spelling Stability analysis of flow of active extensile fibers in confined domainsZhao, LonghuaYao, LingxingGolovaty, DmitryIgnés i Mullol, JordiSagués i Mestre, FrancescCalderer, M. CarmeCristalls líquidsFibresSistemes no linealsLiquid crystalsFibersNonlinear systemsIn this article, we study shear flow of active extensile filaments confined in a narrow channel. They behave as nematic liquid crystals that we assumed are governed by the Ericksen-Leslie equations of balance of linear and angular momentum. The addition of an activity source term in the Leslie stress captures the role of the biofuel prompting the dynamics. The dimensionless form of the governing system includes the Ericksen, activity, and Reynolds numbers together with the aspect ratio of the channel as the main driving parameters affecting the stability of the system. The active system that guides our analysis is composed of microtubules concentrated in bundles, hundreds of microns long, placed in a narrow channel domain, of aspect ratios in the range between 10(-2) and 10(-3) dimensionless units, which are able to align due to the combination of adenosine triphosphate-supplied energy and confinement effects. Specifically, this work aims at studying the role of confinement on the behavior of active matter. It is experimentally observed that, at an appropriately low activity and channel width, the active flow is laminar, with the linear velocity profile and the angle of alignment analogous to those in passive shear, developing defects and becoming chaotic, at a large activity and a channel aspect ratio. The present work addresses the laminar regime, where defect formation does not play a role. We perform a normal mode stability analysis of the base shear flow. A comprehensive description of the stability properties is obtained in terms of the driving parameters of the system. Our main finding, in addition to the geometry and magnitude of the flow profiles, and also consistent with the experimental observations, is that the transition to instability of the uniformly aligned shear flow occurs at a threshold value of the activity parameter, with the transition also being affected by the channel aspect ratio. The role of the parameters on the vorticity and angular profiles of the perturbing flow is also analyzed and found to agree with the experimentally observed transition to turbulent regimes. A spectral method based on Chebyshev polynomials is used to solve the generalized eigenvalue problems arising in the stability analysis.American Institute of Physics (AIP)2020info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://hdl.handle.net/2445/183589Articles publicats en revistes (Ciència dels Materials i Química Física)reponame:Dipòsit Digital de la UBinstname:Universidad de BarcelonaInglésReproducció del document publicat a: https://doi.org/10.1063/5.0023924Chaos, 2020, vol. 30, num. 11https://doi.org/10.1063/5.0023924(c) American Institute of Physics (AIP), 2020info:eu-repo/semantics/openAccessoai:diposit.ub.edu:2445/1835892026-05-27T06:46:51Z
dc.title.none.fl_str_mv Stability analysis of flow of active extensile fibers in confined domains
title Stability analysis of flow of active extensile fibers in confined domains
spellingShingle Stability analysis of flow of active extensile fibers in confined domains
Zhao, Longhua
Cristalls líquids
Fibres
Sistemes no lineals
Liquid crystals
Fibers
Nonlinear systems
title_short Stability analysis of flow of active extensile fibers in confined domains
title_full Stability analysis of flow of active extensile fibers in confined domains
title_fullStr Stability analysis of flow of active extensile fibers in confined domains
title_full_unstemmed Stability analysis of flow of active extensile fibers in confined domains
title_sort Stability analysis of flow of active extensile fibers in confined domains
dc.creator.none.fl_str_mv Zhao, Longhua
Yao, Lingxing
Golovaty, Dmitry
Ignés i Mullol, Jordi
Sagués i Mestre, Francesc
Calderer, M. Carme
author Zhao, Longhua
author_facet Zhao, Longhua
Yao, Lingxing
Golovaty, Dmitry
Ignés i Mullol, Jordi
Sagués i Mestre, Francesc
Calderer, M. Carme
author_role author
author2 Yao, Lingxing
Golovaty, Dmitry
Ignés i Mullol, Jordi
Sagués i Mestre, Francesc
Calderer, M. Carme
author2_role author
author
author
author
author
dc.subject.none.fl_str_mv Cristalls líquids
Fibres
Sistemes no lineals
Liquid crystals
Fibers
Nonlinear systems
topic Cristalls líquids
Fibres
Sistemes no lineals
Liquid crystals
Fibers
Nonlinear systems
description In this article, we study shear flow of active extensile filaments confined in a narrow channel. They behave as nematic liquid crystals that we assumed are governed by the Ericksen-Leslie equations of balance of linear and angular momentum. The addition of an activity source term in the Leslie stress captures the role of the biofuel prompting the dynamics. The dimensionless form of the governing system includes the Ericksen, activity, and Reynolds numbers together with the aspect ratio of the channel as the main driving parameters affecting the stability of the system. The active system that guides our analysis is composed of microtubules concentrated in bundles, hundreds of microns long, placed in a narrow channel domain, of aspect ratios in the range between 10(-2) and 10(-3) dimensionless units, which are able to align due to the combination of adenosine triphosphate-supplied energy and confinement effects. Specifically, this work aims at studying the role of confinement on the behavior of active matter. It is experimentally observed that, at an appropriately low activity and channel width, the active flow is laminar, with the linear velocity profile and the angle of alignment analogous to those in passive shear, developing defects and becoming chaotic, at a large activity and a channel aspect ratio. The present work addresses the laminar regime, where defect formation does not play a role. We perform a normal mode stability analysis of the base shear flow. A comprehensive description of the stability properties is obtained in terms of the driving parameters of the system. Our main finding, in addition to the geometry and magnitude of the flow profiles, and also consistent with the experimental observations, is that the transition to instability of the uniformly aligned shear flow occurs at a threshold value of the activity parameter, with the transition also being affected by the channel aspect ratio. The role of the parameters on the vorticity and angular profiles of the perturbing flow is also analyzed and found to agree with the experimentally observed transition to turbulent regimes. A spectral method based on Chebyshev polynomials is used to solve the generalized eigenvalue problems arising in the stability analysis.
publishDate 2020
dc.date.none.fl_str_mv 2020
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/183589
url https://hdl.handle.net/2445/183589
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Reproducció del document publicat a: https://doi.org/10.1063/5.0023924
Chaos, 2020, vol. 30, num. 11
https://doi.org/10.1063/5.0023924
dc.rights.none.fl_str_mv (c) American Institute of Physics (AIP), 2020
info:eu-repo/semantics/openAccess
rights_invalid_str_mv (c) American Institute of Physics (AIP), 2020
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv American Institute of Physics (AIP)
publisher.none.fl_str_mv American Institute of Physics (AIP)
dc.source.none.fl_str_mv Articles publicats en revistes (Ciència dels Materials i Química Física)
reponame:Dipòsit Digital de la UB
instname:Universidad de Barcelona
instname_str Universidad de Barcelona
reponame_str Dipòsit Digital de la UB
collection Dipòsit Digital de la UB
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300719

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