Systematic weakly nonlinear analysis of radial viscous fingering

We present a weakly nonlinear analysis of the interface dynamics in a radial Hele-Shaw cell driven by both injection and rotation. We extend the systematic expansion introduced in [E. Alvarez-Lacalle et al., Phys. Rev. E 64, 016302 (2001)] to the radial geometry, and compute explicitly the first non...

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Authors: Alvarez Lacalle, Enrique, Pauné i Xuriguera, Eduard, Casademunt i Viader, Jaume, Ortín, Jordi, 1959-
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:2445/18696
Online Access:https://hdl.handle.net/2445/18696
Access Level:Open access
Keyword:Dinàmica de fluids
Fluid dynamics
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spelling Systematic weakly nonlinear analysis of radial viscous fingeringAlvarez Lacalle, EnriquePauné i Xuriguera, EduardCasademunt i Viader, JaumeOrtín, Jordi, 1959-Dinàmica de fluidsFluid dynamicsWe present a weakly nonlinear analysis of the interface dynamics in a radial Hele-Shaw cell driven by both injection and rotation. We extend the systematic expansion introduced in [E. Alvarez-Lacalle et al., Phys. Rev. E 64, 016302 (2001)] to the radial geometry, and compute explicitly the first nonlinear contributions. We also find the necessary and sufficient condition for the uniform convergence of the nonlinear expansion. Within this region of convergence, the analytical predictions at low orders are compared satisfactorily to exact solutions and numerical integration of the problem. This is particularly remarkable in configurations (with no counterpart in the channel geometry) for which the interplay between injection and rotation allows that condition to be satisfied at all times. In the case of the purely centrifugal forcing we demonstrate that nonlinear couplings make the interface more unstable for lower viscosity contrast between the fluids.The American Physical Society201120112003info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersion14 p.application/pdfapplication/pdfhttps://hdl.handle.net/2445/18696Articles 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.68.026308Physical Review E, 2003, vol. E 68, p. 026308-1-026308-14http://dx.doi.org/10.1103/PhysRevE.68.026308(c) The American Physical Society, 2003info:eu-repo/semantics/openAccessoai:recercat.cat:2445/186962026-05-29T05:05:01Z
dc.title.none.fl_str_mv Systematic weakly nonlinear analysis of radial viscous fingering
title Systematic weakly nonlinear analysis of radial viscous fingering
spellingShingle Systematic weakly nonlinear analysis of radial viscous fingering
Alvarez Lacalle, Enrique
Dinàmica de fluids
Fluid dynamics
title_short Systematic weakly nonlinear analysis of radial viscous fingering
title_full Systematic weakly nonlinear analysis of radial viscous fingering
title_fullStr Systematic weakly nonlinear analysis of radial viscous fingering
title_full_unstemmed Systematic weakly nonlinear analysis of radial viscous fingering
title_sort Systematic weakly nonlinear analysis of radial viscous fingering
dc.creator.none.fl_str_mv Alvarez Lacalle, Enrique
Pauné i Xuriguera, Eduard
Casademunt i Viader, Jaume
Ortín, Jordi, 1959-
author Alvarez Lacalle, Enrique
author_facet Alvarez Lacalle, Enrique
Pauné i Xuriguera, Eduard
Casademunt i Viader, Jaume
Ortín, Jordi, 1959-
author_role author
author2 Pauné i Xuriguera, Eduard
Casademunt i Viader, Jaume
Ortín, Jordi, 1959-
author2_role author
author
author
dc.subject.none.fl_str_mv Dinàmica de fluids
Fluid dynamics
topic Dinàmica de fluids
Fluid dynamics
description We present a weakly nonlinear analysis of the interface dynamics in a radial Hele-Shaw cell driven by both injection and rotation. We extend the systematic expansion introduced in [E. Alvarez-Lacalle et al., Phys. Rev. E 64, 016302 (2001)] to the radial geometry, and compute explicitly the first nonlinear contributions. We also find the necessary and sufficient condition for the uniform convergence of the nonlinear expansion. Within this region of convergence, the analytical predictions at low orders are compared satisfactorily to exact solutions and numerical integration of the problem. This is particularly remarkable in configurations (with no counterpart in the channel geometry) for which the interplay between injection and rotation allows that condition to be satisfied at all times. In the case of the purely centrifugal forcing we demonstrate that nonlinear couplings make the interface more unstable for lower viscosity contrast between the fluids.
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/2445/18696
url https://hdl.handle.net/2445/18696
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.68.026308
Physical Review E, 2003, vol. E 68, p. 026308-1-026308-14
http://dx.doi.org/10.1103/PhysRevE.68.026308
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 14 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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