Time dependence and local structure of tracer dispersion in oscillating liquid Hele-Shaw flows

Autores
Roht, Yanina Lucrecia; Auradou, H.; Hulin, J. P.; Salin, D.; Chertcoff, Ricardo Héctor; Ippolito, Irene Paula
Año de publicación
2015
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Passive tracer dispersion in oscillating Poiseuille liquid flows of zero net velocity is studied experimentally in a Hele-Shaw cell and numerically by 2D simulations: this study is particularly focused on the time dependence and local properties of the dispersion. The dispersion mechanism is found to be controlled by the ratio τm/T of the molecular diffusion time across the gap and the oscillation period (when molecular diffusion parallel to the flow is negligible). The 2D numerical simulations complement the experiments by providing the local concentration c(x,z,t) at a given distance z from the cell walls (instead of only the average over z). Above a time lapse scaling like τm, the variation of c with the distance x along the flow becomes a Gaussian of width constant with z while the mean distance ¯x may depend both on z and t. For τm/T . 2, the front spreads through Taylor-like dispersion and the normalized dispersivity scales as τm/T. The front oscillates parallel to the flow with an amplitude constant across the gap; its width increases monotonically at a rate modulated at twice the flow frequency, due to variations of the instantaneous dispersivity. For τm/T & 20, the molecular diffusion distance during a period of the flow is smaller than the gap and the normalized dispersivity scales as (τm/T)−1 . The oscillations of the different points of the front follow the local fluid velocity: this produces a reversible modulation of the global front width at twice the flow frequency and in quadrature with that in the Taylor-like regime.
Fil: Roht, Yanina Lucrecia. Universidad de Buenos Aires. Facultad de Ingeniería. Departamento de Física. Grupo de Medios Porosos; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Auradou, H.. Université Paris Sud; Francia
Fil: Hulin, J. P.. Université Paris Sud; Francia
Fil: Salin, D.. Université Paris Sud; Francia
Fil: Chertcoff, Ricardo Héctor. Universidad de Buenos Aires. Facultad de Ingeniería. Departamento de Física. Grupo de Medios Porosos; Argentina
Fil: Ippolito, Irene Paula. Universidad de Buenos Aires. Facultad de Ingeniería. Departamento de Física. Grupo de Medios Porosos; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Materia
DISPERSION
OSCILLATION
FRACTURE
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/41738
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Time dependence and local structure of tracer dispersion in oscillating liquid Hele-Shaw flowsRoht, Yanina LucreciaAuradou, H.Hulin, J. P.Salin, D.Chertcoff, Ricardo HéctorIppolito, Irene PaulaDISPERSIONOSCILLATIONFRACTUREhttps://purl.org/becyt/ford/2.7https://purl.org/becyt/ford/2Passive tracer dispersion in oscillating Poiseuille liquid flows of zero net velocity is studied experimentally in a Hele-Shaw cell and numerically by 2D simulations: this study is particularly focused on the time dependence and local properties of the dispersion. The dispersion mechanism is found to be controlled by the ratio τm/T of the molecular diffusion time across the gap and the oscillation period (when molecular diffusion parallel to the flow is negligible). The 2D numerical simulations complement the experiments by providing the local concentration c(x,z,t) at a given distance z from the cell walls (instead of only the average over z). Above a time lapse scaling like τm, the variation of c with the distance x along the flow becomes a Gaussian of width constant with z while the mean distance ¯x may depend both on z and t. For τm/T . 2, the front spreads through Taylor-like dispersion and the normalized dispersivity scales as τm/T. The front oscillates parallel to the flow with an amplitude constant across the gap; its width increases monotonically at a rate modulated at twice the flow frequency, due to variations of the instantaneous dispersivity. For τm/T & 20, the molecular diffusion distance during a period of the flow is smaller than the gap and the normalized dispersivity scales as (τm/T)−1 . The oscillations of the different points of the front follow the local fluid velocity: this produces a reversible modulation of the global front width at twice the flow frequency and in quadrature with that in the Taylor-like regime.Fil: Roht, Yanina Lucrecia. Universidad de Buenos Aires. Facultad de Ingeniería. Departamento de Física. Grupo de Medios Porosos; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Auradou, H.. Université Paris Sud; FranciaFil: Hulin, J. P.. Université Paris Sud; FranciaFil: Salin, D.. Université Paris Sud; FranciaFil: Chertcoff, Ricardo Héctor. Universidad de Buenos Aires. Facultad de Ingeniería. Departamento de Física. Grupo de Medios Porosos; ArgentinaFil: Ippolito, Irene Paula. 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 Physics2015-10info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/41738Roht, Yanina Lucrecia; Auradou, H.; Hulin, J. P.; Salin, D.; Chertcoff, Ricardo Héctor; et al.; Time dependence and local structure of tracer dispersion in oscillating liquid Hele-Shaw flows; American Institute of Physics; Physics of Fluids; 27; 10; 10-2015; 1-17; 1036021070-6631CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1063/1.4932302info:eu-repo/semantics/altIdentifier/url/https://aip.scitation.org/doi/10.1063/1.4932302info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:44:08Zoai:ri.conicet.gov.ar:11336/41738instacron: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:34982025-09-29 10:44:08.733CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Time dependence and local structure of tracer dispersion in oscillating liquid Hele-Shaw flows
title Time dependence and local structure of tracer dispersion in oscillating liquid Hele-Shaw flows
spellingShingle Time dependence and local structure of tracer dispersion in oscillating liquid Hele-Shaw flows
Roht, Yanina Lucrecia
DISPERSION
OSCILLATION
FRACTURE
title_short Time dependence and local structure of tracer dispersion in oscillating liquid Hele-Shaw flows
title_full Time dependence and local structure of tracer dispersion in oscillating liquid Hele-Shaw flows
title_fullStr Time dependence and local structure of tracer dispersion in oscillating liquid Hele-Shaw flows
title_full_unstemmed Time dependence and local structure of tracer dispersion in oscillating liquid Hele-Shaw flows
title_sort Time dependence and local structure of tracer dispersion in oscillating liquid Hele-Shaw flows
dc.creator.none.fl_str_mv Roht, Yanina Lucrecia
Auradou, H.
Hulin, J. P.
Salin, D.
Chertcoff, Ricardo Héctor
Ippolito, Irene Paula
author Roht, Yanina Lucrecia
author_facet Roht, Yanina Lucrecia
Auradou, H.
Hulin, J. P.
Salin, D.
Chertcoff, Ricardo Héctor
Ippolito, Irene Paula
author_role author
author2 Auradou, H.
Hulin, J. P.
Salin, D.
Chertcoff, Ricardo Héctor
Ippolito, Irene Paula
author2_role author
author
author
author
author
dc.subject.none.fl_str_mv DISPERSION
OSCILLATION
FRACTURE
topic DISPERSION
OSCILLATION
FRACTURE
purl_subject.fl_str_mv https://purl.org/becyt/ford/2.7
https://purl.org/becyt/ford/2
dc.description.none.fl_txt_mv Passive tracer dispersion in oscillating Poiseuille liquid flows of zero net velocity is studied experimentally in a Hele-Shaw cell and numerically by 2D simulations: this study is particularly focused on the time dependence and local properties of the dispersion. The dispersion mechanism is found to be controlled by the ratio τm/T of the molecular diffusion time across the gap and the oscillation period (when molecular diffusion parallel to the flow is negligible). The 2D numerical simulations complement the experiments by providing the local concentration c(x,z,t) at a given distance z from the cell walls (instead of only the average over z). Above a time lapse scaling like τm, the variation of c with the distance x along the flow becomes a Gaussian of width constant with z while the mean distance ¯x may depend both on z and t. For τm/T . 2, the front spreads through Taylor-like dispersion and the normalized dispersivity scales as τm/T. The front oscillates parallel to the flow with an amplitude constant across the gap; its width increases monotonically at a rate modulated at twice the flow frequency, due to variations of the instantaneous dispersivity. For τm/T & 20, the molecular diffusion distance during a period of the flow is smaller than the gap and the normalized dispersivity scales as (τm/T)−1 . The oscillations of the different points of the front follow the local fluid velocity: this produces a reversible modulation of the global front width at twice the flow frequency and in quadrature with that in the Taylor-like regime.
Fil: Roht, Yanina Lucrecia. Universidad de Buenos Aires. Facultad de Ingeniería. Departamento de Física. Grupo de Medios Porosos; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Auradou, H.. Université Paris Sud; Francia
Fil: Hulin, J. P.. Université Paris Sud; Francia
Fil: Salin, D.. Université Paris Sud; Francia
Fil: Chertcoff, Ricardo Héctor. Universidad de Buenos Aires. Facultad de Ingeniería. Departamento de Física. Grupo de Medios Porosos; Argentina
Fil: Ippolito, Irene Paula. Universidad de Buenos Aires. Facultad de Ingeniería. Departamento de Física. Grupo de Medios Porosos; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
description Passive tracer dispersion in oscillating Poiseuille liquid flows of zero net velocity is studied experimentally in a Hele-Shaw cell and numerically by 2D simulations: this study is particularly focused on the time dependence and local properties of the dispersion. The dispersion mechanism is found to be controlled by the ratio τm/T of the molecular diffusion time across the gap and the oscillation period (when molecular diffusion parallel to the flow is negligible). The 2D numerical simulations complement the experiments by providing the local concentration c(x,z,t) at a given distance z from the cell walls (instead of only the average over z). Above a time lapse scaling like τm, the variation of c with the distance x along the flow becomes a Gaussian of width constant with z while the mean distance ¯x may depend both on z and t. For τm/T . 2, the front spreads through Taylor-like dispersion and the normalized dispersivity scales as τm/T. The front oscillates parallel to the flow with an amplitude constant across the gap; its width increases monotonically at a rate modulated at twice the flow frequency, due to variations of the instantaneous dispersivity. For τm/T & 20, the molecular diffusion distance during a period of the flow is smaller than the gap and the normalized dispersivity scales as (τm/T)−1 . The oscillations of the different points of the front follow the local fluid velocity: this produces a reversible modulation of the global front width at twice the flow frequency and in quadrature with that in the Taylor-like regime.
publishDate 2015
dc.date.none.fl_str_mv 2015-10
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/11336/41738
Roht, Yanina Lucrecia; Auradou, H.; Hulin, J. P.; Salin, D.; Chertcoff, Ricardo Héctor; et al.; Time dependence and local structure of tracer dispersion in oscillating liquid Hele-Shaw flows; American Institute of Physics; Physics of Fluids; 27; 10; 10-2015; 1-17; 103602
1070-6631
CONICET Digital
CONICET
url http://hdl.handle.net/11336/41738
identifier_str_mv Roht, Yanina Lucrecia; Auradou, H.; Hulin, J. P.; Salin, D.; Chertcoff, Ricardo Héctor; et al.; Time dependence and local structure of tracer dispersion in oscillating liquid Hele-Shaw flows; American Institute of Physics; Physics of Fluids; 27; 10; 10-2015; 1-17; 103602
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/10.1063/1.4932302
info:eu-repo/semantics/altIdentifier/url/https://aip.scitation.org/doi/10.1063/1.4932302
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
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
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score 13.070432

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