Deformation of a flexible fiber in a viscous flow past an obstacle

Autores
López, H. M.; Hulin, J. P.; Auradou, H.; D'angelo, María Verónica
Año de publicación
2015
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We study the deformation and transport of elastic fibers in a viscous Hele-Shaw flow with curved streamlines. The variations of the global velocity and orientation of the fiber follow closely those of the local flow velocity. The ratios of the curvatures of the fibers by the corresponding curvatures of the streamlines reflect a balance between elastic and viscous forces: this ratio is shown experimentally to be determined by a dimensionless Sperm number Sp combining the characteristic parameters of the flow (transverse velocity gradient, viscosity, fiber diameter/cell gap ratio) and those of the fiber (diameter, effective length, Young's modulus). For short fibers, the effective length is that of the fiber; for long ones, it is equal to the transverse characteristic length of the flow. For Sp ≲ 250, the ratio of the curvatures increases linearly with Sp; for Sp ≲ 250, the fiber reaches the same curvature as the streamlines.
Fil: López, H. M.. Universidad de Buenos Aires. Facultad de Ingeniería. Departamento de Física. Grupo de Medios Porosos; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Hulin, J. P.. Université Paris Sud; Francia. Centre National de la Recherche Scientifique; Francia
Fil: Auradou, H.. Université Paris Sud; Francia. Centre National de la Recherche Scientifique; Francia
Fil: D'angelo, María Verónica. Universidad de Buenos Aires. Facultad de Ingeniería. Departamento de Física. Grupo de Medios Porosos; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Materia
VISCOSITY
POISEUILLE FLOW
ELASTICITY
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/37637
Acceder
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repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Deformation of a flexible fiber in a viscous flow past an obstacleLópez, H. M.Hulin, J. P.Auradou, H.D'angelo, María VerónicaVISCOSITYPOISEUILLE FLOWELASTICITYhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We study the deformation and transport of elastic fibers in a viscous Hele-Shaw flow with curved streamlines. The variations of the global velocity and orientation of the fiber follow closely those of the local flow velocity. The ratios of the curvatures of the fibers by the corresponding curvatures of the streamlines reflect a balance between elastic and viscous forces: this ratio is shown experimentally to be determined by a dimensionless Sperm number Sp combining the characteristic parameters of the flow (transverse velocity gradient, viscosity, fiber diameter/cell gap ratio) and those of the fiber (diameter, effective length, Young's modulus). For short fibers, the effective length is that of the fiber; for long ones, it is equal to the transverse characteristic length of the flow. For Sp ≲ 250, the ratio of the curvatures increases linearly with Sp; for Sp ≲ 250, the fiber reaches the same curvature as the streamlines.Fil: López, H. M.. Universidad de Buenos Aires. Facultad de Ingeniería. Departamento de Física. Grupo de Medios Porosos; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Hulin, J. P.. Université Paris Sud; Francia. Centre National de la Recherche Scientifique; FranciaFil: Auradou, H.. Université Paris Sud; Francia. Centre National de la Recherche Scientifique; FranciaFil: D'angelo, María Verónica. Universidad de Buenos Aires. Facultad de Ingeniería. Departamento de Física. Grupo de Medios Porosos; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaAmerican Institute of Physics2015-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/37637López, H. M.; Hulin, J. P.; Auradou, H.; D'angelo, María Verónica; Deformation of a flexible fiber in a viscous flow past an obstacle; American Institute of Physics; Physics of Fluids; 27; 1; 1-2015; 13102-13102121070-6631CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1063/1.4905920info:eu-repo/semantics/altIdentifier/url/http://aip.scitation.org/doi/10.1063/1.4905920info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T10:04:30Zoai:ri.conicet.gov.ar:11336/37637instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-03 10:04:30.804CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Deformation of a flexible fiber in a viscous flow past an obstacle
title Deformation of a flexible fiber in a viscous flow past an obstacle
spellingShingle Deformation of a flexible fiber in a viscous flow past an obstacle
López, H. M.
VISCOSITY
POISEUILLE FLOW
ELASTICITY
title_short Deformation of a flexible fiber in a viscous flow past an obstacle
title_full Deformation of a flexible fiber in a viscous flow past an obstacle
title_fullStr Deformation of a flexible fiber in a viscous flow past an obstacle
title_full_unstemmed Deformation of a flexible fiber in a viscous flow past an obstacle
title_sort Deformation of a flexible fiber in a viscous flow past an obstacle
dc.creator.none.fl_str_mv López, H. M.
Hulin, J. P.
Auradou, H.
D'angelo, María Verónica
author López, H. M.
author_facet López, H. M.
Hulin, J. P.
Auradou, H.
D'angelo, María Verónica
author_role author
author2 Hulin, J. P.
Auradou, H.
D'angelo, María Verónica
author2_role author
author
author
dc.subject.none.fl_str_mv VISCOSITY
POISEUILLE FLOW
ELASTICITY
topic VISCOSITY
POISEUILLE FLOW
ELASTICITY
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We study the deformation and transport of elastic fibers in a viscous Hele-Shaw flow with curved streamlines. The variations of the global velocity and orientation of the fiber follow closely those of the local flow velocity. The ratios of the curvatures of the fibers by the corresponding curvatures of the streamlines reflect a balance between elastic and viscous forces: this ratio is shown experimentally to be determined by a dimensionless Sperm number Sp combining the characteristic parameters of the flow (transverse velocity gradient, viscosity, fiber diameter/cell gap ratio) and those of the fiber (diameter, effective length, Young's modulus). For short fibers, the effective length is that of the fiber; for long ones, it is equal to the transverse characteristic length of the flow. For Sp ≲ 250, the ratio of the curvatures increases linearly with Sp; for Sp ≲ 250, the fiber reaches the same curvature as the streamlines.
Fil: López, H. M.. Universidad de Buenos Aires. Facultad de Ingeniería. Departamento de Física. Grupo de Medios Porosos; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Hulin, J. P.. Université Paris Sud; Francia. Centre National de la Recherche Scientifique; Francia
Fil: Auradou, H.. Université Paris Sud; Francia. Centre National de la Recherche Scientifique; Francia
Fil: D'angelo, María Verónica. Universidad de Buenos Aires. Facultad de Ingeniería. Departamento de Física. Grupo de Medios Porosos; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
description We study the deformation and transport of elastic fibers in a viscous Hele-Shaw flow with curved streamlines. The variations of the global velocity and orientation of the fiber follow closely those of the local flow velocity. The ratios of the curvatures of the fibers by the corresponding curvatures of the streamlines reflect a balance between elastic and viscous forces: this ratio is shown experimentally to be determined by a dimensionless Sperm number Sp combining the characteristic parameters of the flow (transverse velocity gradient, viscosity, fiber diameter/cell gap ratio) and those of the fiber (diameter, effective length, Young's modulus). For short fibers, the effective length is that of the fiber; for long ones, it is equal to the transverse characteristic length of the flow. For Sp ≲ 250, the ratio of the curvatures increases linearly with Sp; for Sp ≲ 250, the fiber reaches the same curvature as the streamlines.
publishDate 2015
dc.date.none.fl_str_mv 2015-01
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/37637
López, H. M.; Hulin, J. P.; Auradou, H.; D'angelo, María Verónica; Deformation of a flexible fiber in a viscous flow past an obstacle; American Institute of Physics; Physics of Fluids; 27; 1; 1-2015; 13102-1310212
1070-6631
CONICET Digital
CONICET
url http://hdl.handle.net/11336/37637
identifier_str_mv López, H. M.; Hulin, J. P.; Auradou, H.; D'angelo, María Verónica; Deformation of a flexible fiber in a viscous flow past an obstacle; American Institute of Physics; Physics of Fluids; 27; 1; 1-2015; 13102-1310212
1070-6631
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1063/1.4905920
info:eu-repo/semantics/altIdentifier/url/http://aip.scitation.org/doi/10.1063/1.4905920
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv American Institute of Physics
publisher.none.fl_str_mv American Institute of Physics
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1842269859115696128
score 13.13397

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