Anomalous roughening in experiments of interfaces in Hele-Shaw flows with strong quenched disorder

We report experimental evidences of anomalous kinetic roughening in the stable displacement of an oil-air interface in a Hele-Shaw cell with strong quenched disorder. The disorder consists on a random modulation of the gap spacing transverse to the growth direction (tracks). We have performed experi...

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Authors: Soriano i Fradera, Jordi, Ortín, Jordi, 1959-, Hernández Machado, Aurora
Format: article
Status:Published version
Publication Date:2003
Country:España
Institution:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repository:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2445/18699
Online Access:https://hdl.handle.net/2445/18699
Access Level:Open access
Keyword:Dinàmica de fluids
Interfícies (Ciències físiques)
Pel·lícules fines
Nanoestructures
Fluid dynamics
Interfaces (Physical sciences)
Thin films
Nanostructures
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spelling Anomalous roughening in experiments of interfaces in Hele-Shaw flows with strong quenched disorderSoriano i Fradera, JordiOrtín, Jordi, 1959-Hernández Machado, AuroraDinàmica de fluidsInterfícies (Ciències físiques)Pel·lícules finesNanoestructuresFluid dynamicsInterfaces (Physical sciences)Thin filmsNanostructuresWe report experimental evidences of anomalous kinetic roughening in the stable displacement of an oil-air interface in a Hele-Shaw cell with strong quenched disorder. The disorder consists on a random modulation of the gap spacing transverse to the growth direction (tracks). We have performed experiments varying average interface velocity and gap spacing, and measured the scaling exponents. We have obtained beta=0.50, beta*=0.25, alpha=1.0, alpha_l=0.5, and z=2. When there is no fluid injection, the interface is driven solely by capillary forces, and a higher value of beta around beta=0.65 is measured. The presence of multiscaling and the particular morphology of the interfaces, characterized by high slopes that follow a L\'evy distribution, confirms the existence of anomalous scaling. From a detailed study of the motion of the oil--air interface we show that the anomaly is a consequence of different local velocities over tracks plus the coupling in the motion between neighboring tracks. The anomaly disappears at high interface velocities, weak capillary forces, or when the disorder is not sufficiently persistent in the growth direction. We have also observed the absence of scaling when the disorder is very strong or when a regular modulation of the gap spacing is introduced.The American Physical Society201120112003info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersion12 p.application/pdfapplication/pdfhttps://hdl.handle.net/2445/18699Articles publicats en revistes (Física Quàntica i Astrofísica)reponame:Recercat. Dipósit de la Recerca de Catalunyainstname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)InglésReproducció del document publicat a: http://dx.doi.org/10.1103/PhysRevE.67.056308Physical Review E, 2003, vol. E67, p. 056308-1-056308-12http://dx.doi.org/10.1103/PhysRevE.67.056308(c) The American Physical Society, 2003info:eu-repo/semantics/openAccessoai:recercat.cat:2445/186992026-05-29T05:05:01Z
dc.title.none.fl_str_mv Anomalous roughening in experiments of interfaces in Hele-Shaw flows with strong quenched disorder
title Anomalous roughening in experiments of interfaces in Hele-Shaw flows with strong quenched disorder
spellingShingle Anomalous roughening in experiments of interfaces in Hele-Shaw flows with strong quenched disorder
Soriano i Fradera, Jordi
Dinàmica de fluids
Interfícies (Ciències físiques)
Pel·lícules fines
Nanoestructures
Fluid dynamics
Interfaces (Physical sciences)
Thin films
Nanostructures
title_short Anomalous roughening in experiments of interfaces in Hele-Shaw flows with strong quenched disorder
title_full Anomalous roughening in experiments of interfaces in Hele-Shaw flows with strong quenched disorder
title_fullStr Anomalous roughening in experiments of interfaces in Hele-Shaw flows with strong quenched disorder
title_full_unstemmed Anomalous roughening in experiments of interfaces in Hele-Shaw flows with strong quenched disorder
title_sort Anomalous roughening in experiments of interfaces in Hele-Shaw flows with strong quenched disorder
dc.creator.none.fl_str_mv Soriano i Fradera, Jordi
Ortín, Jordi, 1959-
Hernández Machado, Aurora
author Soriano i Fradera, Jordi
author_facet Soriano i Fradera, Jordi
Ortín, Jordi, 1959-
Hernández Machado, Aurora
author_role author
author2 Ortín, Jordi, 1959-
Hernández Machado, Aurora
author2_role author
author
dc.subject.none.fl_str_mv Dinàmica de fluids
Interfícies (Ciències físiques)
Pel·lícules fines
Nanoestructures
Fluid dynamics
Interfaces (Physical sciences)
Thin films
Nanostructures
topic Dinàmica de fluids
Interfícies (Ciències físiques)
Pel·lícules fines
Nanoestructures
Fluid dynamics
Interfaces (Physical sciences)
Thin films
Nanostructures
description We report experimental evidences of anomalous kinetic roughening in the stable displacement of an oil-air interface in a Hele-Shaw cell with strong quenched disorder. The disorder consists on a random modulation of the gap spacing transverse to the growth direction (tracks). We have performed experiments varying average interface velocity and gap spacing, and measured the scaling exponents. We have obtained beta=0.50, beta*=0.25, alpha=1.0, alpha_l=0.5, and z=2. When there is no fluid injection, the interface is driven solely by capillary forces, and a higher value of beta around beta=0.65 is measured. The presence of multiscaling and the particular morphology of the interfaces, characterized by high slopes that follow a L\'evy distribution, confirms the existence of anomalous scaling. From a detailed study of the motion of the oil--air interface we show that the anomaly is a consequence of different local velocities over tracks plus the coupling in the motion between neighboring tracks. The anomaly disappears at high interface velocities, weak capillary forces, or when the disorder is not sufficiently persistent in the growth direction. We have also observed the absence of scaling when the disorder is very strong or when a regular modulation of the gap spacing is introduced.
publishDate 2003
dc.date.none.fl_str_mv 2003
2011
2011
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/2445/18699
url https://hdl.handle.net/2445/18699
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Reproducció del document publicat a: http://dx.doi.org/10.1103/PhysRevE.67.056308
Physical Review E, 2003, vol. E67, p. 056308-1-056308-12
http://dx.doi.org/10.1103/PhysRevE.67.056308
dc.rights.none.fl_str_mv (c) The American Physical Society, 2003
info:eu-repo/semantics/openAccess
rights_invalid_str_mv (c) The American Physical Society, 2003
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 12 p.
application/pdf
application/pdf
dc.publisher.none.fl_str_mv The American Physical Society
publisher.none.fl_str_mv The American Physical Society
dc.source.none.fl_str_mv Articles publicats en revistes (Física Quàntica i Astrofísica)
reponame:Recercat. Dipósit de la Recerca de Catalunya
instname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
instname_str Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
reponame_str Recercat. Dipósit de la Recerca de Catalunya
collection Recercat. Dipósit de la Recerca de Catalunya
repository.name.fl_str_mv
repository.mail.fl_str_mv
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