Chemoconvection patterns in the Methylene-blue-glucose system: Weakly nonlinear analysis

The oxidation of solutions of glucose with methylene-blue as a catalyst in basic media can induce hydrodynamic overturning instabilities, termed chemoconvection in recognition of their similarity to convective instabilities. The phenomenon is due to gluconic acid, the marginally dense product of the...

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Authors: Pons, A. J., Sagués i Mestre, Francesc, Bees, M. A.
Format: article
Status:Published version
Publication Date:2004
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:2445/18912
Online Access:https://hdl.handle.net/2445/18912
Access Level:Open access
Keyword:Dinàmica de fluids
Fluid dynamics
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spelling Chemoconvection patterns in the Methylene-blue-glucose system: Weakly nonlinear analysisPons, A. J.Sagués i Mestre, FrancescBees, M. A.Dinàmica de fluidsFluid dynamicsThe oxidation of solutions of glucose with methylene-blue as a catalyst in basic media can induce hydrodynamic overturning instabilities, termed chemoconvection in recognition of their similarity to convective instabilities. The phenomenon is due to gluconic acid, the marginally dense product of the reaction, which gradually builds an unstable density profile. Experiments indicate that dominant pattern wavenumbers initially increase before gradually decreasing or can even oscillate for long times. Here, we perform a weakly nonlinear analysis for an established model of the system with simple kinetics, and show that the resulting amplitude equation is analogous to that obtained in convection with insulating walls. We show that the amplitude description predicts that dominant pattern wavenumbers should decrease in the long term, but does not reproduce the aforementioned increasing wavenumber behavior in the initial stages of pattern development. We hypothesize that this is due to horizontally homogeneous steady states not being attained before pattern onset. We show that the behavior can be explained using a combination of pseudo-steady-state linear and steady-state weakly nonlinear theories. The results obtained are in qualitative agreement with the analysis of experiments.The American Physical Society201120112004info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersion9 p.application/pdfapplication/pdfhttps://hdl.handle.net/2445/18912Articles publicats en revistes (Ciència dels Materials i Química Física)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.70.066304Physical Review e, 2004, vol. 70, núm. 6, p. 066304-1-066304-9http://dx.doi.org/10.1103/PhysRevE.70.066304(c) American Physical Society, 2004info:eu-repo/semantics/openAccessoai:recercat.cat:2445/189122026-05-29T05:05:01Z
dc.title.none.fl_str_mv Chemoconvection patterns in the Methylene-blue-glucose system: Weakly nonlinear analysis
title Chemoconvection patterns in the Methylene-blue-glucose system: Weakly nonlinear analysis
spellingShingle Chemoconvection patterns in the Methylene-blue-glucose system: Weakly nonlinear analysis
Pons, A. J.
Dinàmica de fluids
Fluid dynamics
title_short Chemoconvection patterns in the Methylene-blue-glucose system: Weakly nonlinear analysis
title_full Chemoconvection patterns in the Methylene-blue-glucose system: Weakly nonlinear analysis
title_fullStr Chemoconvection patterns in the Methylene-blue-glucose system: Weakly nonlinear analysis
title_full_unstemmed Chemoconvection patterns in the Methylene-blue-glucose system: Weakly nonlinear analysis
title_sort Chemoconvection patterns in the Methylene-blue-glucose system: Weakly nonlinear analysis
dc.creator.none.fl_str_mv Pons, A. J.
Sagués i Mestre, Francesc
Bees, M. A.
author Pons, A. J.
author_facet Pons, A. J.
Sagués i Mestre, Francesc
Bees, M. A.
author_role author
author2 Sagués i Mestre, Francesc
Bees, M. A.
author2_role author
author
dc.subject.none.fl_str_mv Dinàmica de fluids
Fluid dynamics
topic Dinàmica de fluids
Fluid dynamics
description The oxidation of solutions of glucose with methylene-blue as a catalyst in basic media can induce hydrodynamic overturning instabilities, termed chemoconvection in recognition of their similarity to convective instabilities. The phenomenon is due to gluconic acid, the marginally dense product of the reaction, which gradually builds an unstable density profile. Experiments indicate that dominant pattern wavenumbers initially increase before gradually decreasing or can even oscillate for long times. Here, we perform a weakly nonlinear analysis for an established model of the system with simple kinetics, and show that the resulting amplitude equation is analogous to that obtained in convection with insulating walls. We show that the amplitude description predicts that dominant pattern wavenumbers should decrease in the long term, but does not reproduce the aforementioned increasing wavenumber behavior in the initial stages of pattern development. We hypothesize that this is due to horizontally homogeneous steady states not being attained before pattern onset. We show that the behavior can be explained using a combination of pseudo-steady-state linear and steady-state weakly nonlinear theories. The results obtained are in qualitative agreement with the analysis of experiments.
publishDate 2004
dc.date.none.fl_str_mv 2004
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/2445/18912
url https://hdl.handle.net/2445/18912
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.70.066304
Physical Review e, 2004, vol. 70, núm. 6, p. 066304-1-066304-9
http://dx.doi.org/10.1103/PhysRevE.70.066304
dc.rights.none.fl_str_mv (c) American Physical Society, 2004
info:eu-repo/semantics/openAccess
rights_invalid_str_mv (c) American Physical Society, 2004
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 9 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 (Ciència dels Materials i Química Física)
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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