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...
| Authors: | , , |
|---|---|
| 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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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) |
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Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
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Recercat. Dipósit de la Recerca de Catalunya |
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Recercat. Dipósit de la Recerca de Catalunya |
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1869423242153820160 |
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15,812429 |